TSTP Solution File: HWV050_3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV050_3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 02:14:46 EDT 2022
% Result : Unsatisfiable 24.36s 15.70s
% Output : Proof 27.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HWV050_3 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Aug 31 23:18:46 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.33 Usage: tptp [options] [-file:]file
% 0.11/0.33 -h, -? prints this message.
% 0.11/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.33 -m, -model generate model.
% 0.11/0.33 -p, -proof generate proof.
% 0.11/0.33 -c, -core generate unsat core of named formulas.
% 0.11/0.33 -st, -statistics display statistics.
% 0.11/0.33 -t:timeout set timeout (in second).
% 0.11/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.33 -<param>:<value> configuration parameter and value.
% 0.11/0.33 -o:<output-file> file to place output in.
% 24.36/15.70 % SZS status Unsatisfiable
% 24.36/15.70 % SZS output start Proof
% 24.36/15.70 tff(v84_type, type, (
% 24.36/15.70 v84: ( state_type * bitindex_type ) > $o)).
% 24.36/15.70 tff(bitIndex0_type, type, (
% 24.36/15.70 bitIndex0: bitindex_type)).
% 24.36/15.70 tff(constB57_type, type, (
% 24.36/15.70 constB57: state_type)).
% 24.36/15.70 tff(sK0_VarCurr_type, type, (
% 24.36/15.70 sK0_VarCurr: state_type)).
% 24.36/15.70 tff(constB165_type, type, (
% 24.36/15.70 constB165: state_type)).
% 24.36/15.70 tff(constB117_type, type, (
% 24.36/15.70 constB117: state_type)).
% 24.36/15.70 tff(bitIndex1_type, type, (
% 24.36/15.70 bitIndex1: bitindex_type)).
% 24.36/15.70 tff(bitIndex2_type, type, (
% 24.36/15.70 bitIndex2: bitindex_type)).
% 24.36/15.70 tff(constB155_type, type, (
% 24.36/15.70 constB155: state_type)).
% 24.36/15.70 tff(constB71_type, type, (
% 24.36/15.70 constB71: state_type)).
% 24.36/15.70 tff(constB70_type, type, (
% 24.36/15.70 constB70: state_type)).
% 24.36/15.70 tff(v94_type, type, (
% 24.36/15.70 v94: state_type > $o)).
% 24.36/15.70 tff(v104_type, type, (
% 24.36/15.70 v104: state_type > $o)).
% 24.36/15.70 tff(v102_type, type, (
% 24.36/15.70 v102: state_type > $o)).
% 24.36/15.70 tff(constB69_type, type, (
% 24.36/15.70 constB69: state_type)).
% 24.36/15.70 tff(v107_type, type, (
% 24.36/15.70 v107: state_type > $o)).
% 24.36/15.70 tff(v108_type, type, (
% 24.36/15.70 v108: state_type > $o)).
% 24.36/15.70 tff(v109_type, type, (
% 24.36/15.70 v109: state_type > $o)).
% 24.36/15.70 tff(v172_type, type, (
% 24.36/15.70 v172: state_type > $o)).
% 24.36/15.70 tff(constB68_type, type, (
% 24.36/15.70 constB68: state_type)).
% 24.36/15.70 tff(constB67_type, type, (
% 24.36/15.70 constB67: state_type)).
% 24.36/15.70 tff(v106_type, type, (
% 24.36/15.70 v106: state_type > $o)).
% 24.36/15.70 tff(v110_type, type, (
% 24.36/15.70 v110: state_type > $o)).
% 24.36/15.70 tff(v116_type, type, (
% 24.36/15.70 v116: state_type > $o)).
% 24.36/15.70 tff(constB66_type, type, (
% 24.36/15.70 constB66: state_type)).
% 24.36/15.70 tff(constB65_type, type, (
% 24.36/15.70 constB65: state_type)).
% 24.36/15.70 tff(v111_type, type, (
% 24.36/15.70 v111: state_type > $o)).
% 24.36/15.70 tff(v115_type, type, (
% 24.36/15.70 v115: state_type > $o)).
% 24.36/15.70 tff(constB64_type, type, (
% 24.36/15.70 constB64: state_type)).
% 24.36/15.70 tff(constB63_type, type, (
% 24.36/15.70 constB63: state_type)).
% 24.36/15.70 tff(v112_type, type, (
% 24.36/15.70 v112: state_type > $o)).
% 24.36/15.70 tff(v145_type, type, (
% 24.36/15.70 v145: state_type > $o)).
% 24.36/15.70 tff(constB62_type, type, (
% 24.36/15.70 constB62: state_type)).
% 24.36/15.70 tff(constB61_type, type, (
% 24.36/15.70 constB61: state_type)).
% 24.36/15.70 tff(v119_type, type, (
% 24.36/15.70 v119: state_type > $o)).
% 24.36/15.70 tff(constB60_type, type, (
% 24.36/15.70 constB60: state_type)).
% 24.36/15.70 tff(constB59_type, type, (
% 24.36/15.70 constB59: state_type)).
% 24.36/15.70 tff(v118_type, type, (
% 24.36/15.70 v118: state_type > $o)).
% 24.36/15.70 tff(constB58_type, type, (
% 24.36/15.70 constB58: state_type)).
% 24.36/15.70 tff(constB56_type, type, (
% 24.36/15.70 constB56: state_type)).
% 24.36/15.70 tff(constB55_type, type, (
% 24.36/15.70 constB55: state_type)).
% 24.36/15.70 tff(constB54_type, type, (
% 24.36/15.70 constB54: state_type)).
% 24.36/15.70 tff(constB53_type, type, (
% 24.36/15.70 constB53: state_type)).
% 24.36/15.70 tff(constB52_type, type, (
% 24.36/15.70 constB52: state_type)).
% 24.36/15.70 tff(constB51_type, type, (
% 24.36/15.70 constB51: state_type)).
% 24.36/15.70 tff(constB50_type, type, (
% 24.36/15.70 constB50: state_type)).
% 24.36/15.70 tff(constB49_type, type, (
% 24.36/15.70 constB49: state_type)).
% 24.36/15.70 tff(constB48_type, type, (
% 24.36/15.70 constB48: state_type)).
% 24.36/15.70 tff(constB47_type, type, (
% 24.36/15.70 constB47: state_type)).
% 24.36/15.70 tff(constB46_type, type, (
% 24.36/15.70 constB46: state_type)).
% 24.36/15.70 tff(v123_type, type, (
% 24.36/15.70 v123: ( state_type * bitindex_type ) > $o)).
% 24.36/15.70 tff(v121_type, type, (
% 24.36/15.70 v121: ( state_type * bitindex_type ) > $o)).
% 24.36/15.70 tff(constB45_type, type, (
% 24.36/15.70 constB45: state_type)).
% 24.36/15.70 tff(v124_type, type, (
% 24.36/15.70 v124: ( state_type * bitindex_type ) > $o)).
% 24.36/15.70 tff(constB44_type, type, (
% 24.36/15.70 constB44: state_type)).
% 24.36/15.70 tff(constB43_type, type, (
% 24.36/15.70 constB43: state_type)).
% 24.36/15.70 tff(constB42_type, type, (
% 24.36/15.70 constB42: state_type)).
% 24.36/15.70 tff(constB41_type, type, (
% 24.36/15.70 constB41: state_type)).
% 24.36/15.70 tff(constB40_type, type, (
% 24.36/15.70 constB40: state_type)).
% 24.36/15.70 tff(constB39_type, type, (
% 24.36/15.70 constB39: state_type)).
% 24.36/15.70 tff(constB37_type, type, (
% 24.36/15.70 constB37: state_type)).
% 24.36/15.70 tff(v113_type, type, (
% 24.36/15.70 v113: state_type > $o)).
% 24.36/15.70 tff(constB36_type, type, (
% 24.36/15.70 constB36: state_type)).
% 24.36/15.70 tff(constB35_type, type, (
% 24.36/15.70 constB35: state_type)).
% 24.36/15.70 tff(v26_type, type, (
% 24.36/15.70 v26: state_type > $o)).
% 24.36/15.70 tff(constB34_type, type, (
% 24.36/15.70 constB34: state_type)).
% 24.36/15.70 tff(constB33_type, type, (
% 24.36/15.70 constB33: state_type)).
% 24.36/15.70 tff(constB32_type, type, (
% 24.36/15.70 constB32: state_type)).
% 24.36/15.70 tff(constB31_type, type, (
% 24.36/15.70 constB31: state_type)).
% 24.36/15.70 tff(constB30_type, type, (
% 24.36/15.70 constB30: state_type)).
% 24.36/15.70 tff(constB29_type, type, (
% 24.36/15.70 constB29: state_type)).
% 24.36/15.70 tff(constB28_type, type, (
% 24.36/15.70 constB28: state_type)).
% 24.36/15.70 tff(constB27_type, type, (
% 24.36/15.70 constB27: state_type)).
% 24.36/15.70 tff(constB26_type, type, (
% 24.36/15.70 constB26: state_type)).
% 24.36/15.70 tff(constB25_type, type, (
% 24.36/15.70 constB25: state_type)).
% 24.36/15.70 tff(constB24_type, type, (
% 24.36/15.70 constB24: state_type)).
% 24.36/15.70 tff(constB23_type, type, (
% 24.36/15.70 constB23: state_type)).
% 24.36/15.70 tff(constB22_type, type, (
% 24.36/15.70 constB22: state_type)).
% 24.36/15.70 tff(constB21_type, type, (
% 24.36/15.70 constB21: state_type)).
% 24.36/15.70 tff(constB20_type, type, (
% 24.36/15.70 constB20: state_type)).
% 24.36/15.70 tff(constB19_type, type, (
% 24.36/15.70 constB19: state_type)).
% 24.36/15.70 tff(constB18_type, type, (
% 24.36/15.70 constB18: state_type)).
% 24.36/15.70 tff(constB17_type, type, (
% 24.36/15.70 constB17: state_type)).
% 24.36/15.70 tff(constB16_type, type, (
% 24.36/15.70 constB16: state_type)).
% 24.36/15.70 tff(constB15_type, type, (
% 24.36/15.70 constB15: state_type)).
% 24.36/15.70 tff(constB14_type, type, (
% 24.36/15.70 constB14: state_type)).
% 24.36/15.70 tff(constB13_type, type, (
% 24.36/15.70 constB13: state_type)).
% 24.36/15.70 tff(constB12_type, type, (
% 24.36/15.70 constB12: state_type)).
% 24.36/15.70 tff(constB11_type, type, (
% 24.36/15.70 constB11: state_type)).
% 24.36/15.70 tff(constB10_type, type, (
% 24.36/15.70 constB10: state_type)).
% 24.36/15.70 tff(constB9_type, type, (
% 24.36/15.70 constB9: state_type)).
% 24.36/15.70 tff(constB8_type, type, (
% 24.36/15.70 constB8: state_type)).
% 24.36/15.70 tff(constB7_type, type, (
% 24.36/15.70 constB7: state_type)).
% 24.36/15.70 tff(constB6_type, type, (
% 24.36/15.70 constB6: state_type)).
% 24.36/15.70 tff(constB5_type, type, (
% 24.36/15.70 constB5: state_type)).
% 24.36/15.70 tff(constB4_type, type, (
% 24.36/15.70 constB4: state_type)).
% 24.36/15.70 tff(constB3_type, type, (
% 24.36/15.70 constB3: state_type)).
% 24.36/15.70 tff(constB2_type, type, (
% 24.36/15.70 constB2: state_type)).
% 24.36/15.70 tff(constB1_type, type, (
% 24.36/15.70 constB1: state_type)).
% 24.36/15.70 tff(v95_type, type, (
% 24.36/15.70 v95: state_type > $o)).
% 24.36/15.70 tff(v1_type, type, (
% 24.36/15.70 v1: state_type > $o)).
% 24.36/15.70 tff(nextState_type, type, (
% 24.36/15.70 nextState: ( state_type * state_type ) > $o)).
% 24.36/15.70 tff(constB0_type, type, (
% 24.36/15.70 constB0: state_type)).
% 24.36/15.70 tff(v96_type, type, (
% 24.36/15.70 v96: state_type > $o)).
% 24.36/15.70 tff(v98_type, type, (
% 24.36/15.70 v98: state_type > $o)).
% 24.36/15.70 tff(v142_type, type, (
% 24.36/15.70 v142: state_type > $o)).
% 24.36/15.70 tff(v144_type, type, (
% 24.36/15.70 v144: state_type > $o)).
% 24.36/15.70 tff(v141_type, type, (
% 24.36/15.70 v141: state_type > $o)).
% 24.36/15.70 tff(v9_type, type, (
% 24.36/15.70 v9: state_type > $o)).
% 24.36/15.70 tff(v13_type, type, (
% 24.36/15.70 v13: state_type > $o)).
% 24.36/15.70 tff(v19_type, type, (
% 24.36/15.70 v19: state_type > $o)).
% 24.36/15.70 tff(v18_type, type, (
% 24.36/15.70 v18: state_type > $o)).
% 24.36/15.70 tff(v22_type, type, (
% 24.36/15.70 v22: state_type > $o)).
% 24.36/15.70 tff(constB38_type, type, (
% 24.36/15.70 constB38: state_type)).
% 24.36/15.70 tff(constB143_type, type, (
% 24.36/15.70 constB143: state_type)).
% 24.36/15.70 tff(constB142_type, type, (
% 24.36/15.70 constB142: state_type)).
% 24.36/15.70 tff(constB141_type, type, (
% 24.36/15.70 constB141: state_type)).
% 24.36/15.70 tff(constB139_type, type, (
% 24.36/15.70 constB139: state_type)).
% 24.36/15.70 tff(constB138_type, type, (
% 24.36/15.70 constB138: state_type)).
% 24.36/15.70 tff(constB137_type, type, (
% 24.36/15.70 constB137: state_type)).
% 24.36/15.70 tff(constB136_type, type, (
% 24.36/15.70 constB136: state_type)).
% 24.36/15.70 tff(constB135_type, type, (
% 24.36/15.70 constB135: state_type)).
% 24.36/15.70 tff(constB134_type, type, (
% 24.36/15.70 constB134: state_type)).
% 24.36/15.70 tff(constB133_type, type, (
% 24.36/15.70 constB133: state_type)).
% 24.36/15.70 tff(constB132_type, type, (
% 24.36/15.70 constB132: state_type)).
% 24.36/15.70 tff(constB131_type, type, (
% 24.36/15.70 constB131: state_type)).
% 24.36/15.70 tff(constB130_type, type, (
% 24.36/15.70 constB130: state_type)).
% 24.36/15.70 tff(constB129_type, type, (
% 24.36/15.70 constB129: state_type)).
% 24.36/15.70 tff(constB128_type, type, (
% 24.36/15.70 constB128: state_type)).
% 24.36/15.70 tff(constB127_type, type, (
% 24.36/15.70 constB127: state_type)).
% 24.36/15.70 tff(constB126_type, type, (
% 24.36/15.70 constB126: state_type)).
% 24.36/15.70 tff(constB125_type, type, (
% 24.36/15.70 constB125: state_type)).
% 24.36/15.70 tff(constB124_type, type, (
% 24.36/15.70 constB124: state_type)).
% 24.36/15.70 tff(constB123_type, type, (
% 24.36/15.70 constB123: state_type)).
% 24.36/15.70 tff(constB122_type, type, (
% 24.36/15.70 constB122: state_type)).
% 24.36/15.70 tff(constB121_type, type, (
% 24.36/15.70 constB121: state_type)).
% 24.36/15.70 tff(constB120_type, type, (
% 24.36/15.70 constB120: state_type)).
% 24.36/15.70 tff(constB119_type, type, (
% 24.36/15.70 constB119: state_type)).
% 24.36/15.70 tff(constB118_type, type, (
% 24.36/15.70 constB118: state_type)).
% 24.36/15.70 tff(constB116_type, type, (
% 24.36/15.70 constB116: state_type)).
% 24.36/15.70 tff(constB115_type, type, (
% 24.36/15.70 constB115: state_type)).
% 24.36/15.70 tff(constB114_type, type, (
% 24.36/15.70 constB114: state_type)).
% 24.36/15.70 tff(constB113_type, type, (
% 24.36/15.70 constB113: state_type)).
% 24.36/15.70 tff(constB112_type, type, (
% 24.36/15.70 constB112: state_type)).
% 24.36/15.70 tff(constB111_type, type, (
% 24.36/15.70 constB111: state_type)).
% 24.36/15.70 tff(constB110_type, type, (
% 24.36/15.70 constB110: state_type)).
% 24.36/15.70 tff(constB109_type, type, (
% 24.36/15.70 constB109: state_type)).
% 24.36/15.70 tff(constB108_type, type, (
% 24.36/15.70 constB108: state_type)).
% 24.36/15.70 tff(constB107_type, type, (
% 24.36/15.70 constB107: state_type)).
% 24.36/15.70 tff(constB106_type, type, (
% 24.36/15.70 constB106: state_type)).
% 24.36/15.70 tff(constB105_type, type, (
% 24.36/15.70 constB105: state_type)).
% 24.36/15.70 tff(constB104_type, type, (
% 24.36/15.70 constB104: state_type)).
% 24.36/15.70 tff(constB103_type, type, (
% 24.36/15.70 constB103: state_type)).
% 24.36/15.70 tff(constB102_type, type, (
% 24.36/15.70 constB102: state_type)).
% 24.36/15.70 tff(constB101_type, type, (
% 24.36/15.70 constB101: state_type)).
% 24.36/15.70 tff(constB100_type, type, (
% 24.36/15.70 constB100: state_type)).
% 24.36/15.70 tff(constB99_type, type, (
% 24.36/15.70 constB99: state_type)).
% 24.36/15.70 tff(constB98_type, type, (
% 24.36/15.70 constB98: state_type)).
% 24.36/15.70 tff(constB97_type, type, (
% 24.36/15.70 constB97: state_type)).
% 24.36/15.70 tff(constB96_type, type, (
% 24.36/15.70 constB96: state_type)).
% 24.36/15.70 tff(constB95_type, type, (
% 24.36/15.70 constB95: state_type)).
% 24.36/15.70 tff(constB94_type, type, (
% 24.36/15.70 constB94: state_type)).
% 24.36/15.70 tff(constB93_type, type, (
% 24.36/15.70 constB93: state_type)).
% 24.36/15.70 tff(constB92_type, type, (
% 24.36/15.70 constB92: state_type)).
% 24.36/15.70 tff(constB91_type, type, (
% 24.36/15.70 constB91: state_type)).
% 24.36/15.70 tff(constB90_type, type, (
% 24.36/15.70 constB90: state_type)).
% 24.36/15.70 tff(constB89_type, type, (
% 24.36/15.70 constB89: state_type)).
% 24.36/15.70 tff(constB88_type, type, (
% 24.36/15.70 constB88: state_type)).
% 24.36/15.70 tff(constB87_type, type, (
% 24.36/15.70 constB87: state_type)).
% 24.36/15.70 tff(constB86_type, type, (
% 24.36/15.70 constB86: state_type)).
% 24.36/15.70 tff(constB85_type, type, (
% 24.36/15.70 constB85: state_type)).
% 24.36/15.70 tff(constB84_type, type, (
% 24.36/15.70 constB84: state_type)).
% 24.36/15.70 tff(constB83_type, type, (
% 24.36/15.70 constB83: state_type)).
% 24.36/15.70 tff(constB82_type, type, (
% 24.36/15.70 constB82: state_type)).
% 24.36/15.70 tff(constB81_type, type, (
% 24.36/15.70 constB81: state_type)).
% 24.36/15.70 tff(constB80_type, type, (
% 24.36/15.70 constB80: state_type)).
% 24.36/15.70 tff(constB79_type, type, (
% 24.36/15.70 constB79: state_type)).
% 24.36/15.70 tff(constB78_type, type, (
% 24.36/15.70 constB78: state_type)).
% 24.36/15.70 tff(constB77_type, type, (
% 24.36/15.70 constB77: state_type)).
% 24.36/15.70 tff(constB75_type, type, (
% 24.36/15.70 constB75: state_type)).
% 24.36/15.70 tff(constB73_type, type, (
% 24.36/15.70 constB73: state_type)).
% 24.36/15.70 tff(constB72_type, type, (
% 24.36/15.70 constB72: state_type)).
% 24.36/15.70 tff(constB74_type, type, (
% 24.36/15.70 constB74: state_type)).
% 24.36/15.70 tff(constB76_type, type, (
% 24.36/15.70 constB76: state_type)).
% 24.36/15.70 tff(constB140_type, type, (
% 24.36/15.70 constB140: state_type)).
% 24.36/15.70 tff(constB157_type, type, (
% 24.36/15.70 constB157: state_type)).
% 24.36/15.70 tff(constB156_type, type, (
% 24.36/15.70 constB156: state_type)).
% 24.36/15.70 tff(constB153_type, type, (
% 24.36/15.70 constB153: state_type)).
% 24.36/15.70 tff(constB152_type, type, (
% 24.36/15.70 constB152: state_type)).
% 24.36/15.70 tff(constB151_type, type, (
% 24.36/15.70 constB151: state_type)).
% 24.36/15.70 tff(constB150_type, type, (
% 24.36/15.70 constB150: state_type)).
% 24.36/15.70 tff(constB149_type, type, (
% 24.36/15.70 constB149: state_type)).
% 24.36/15.70 tff(constB148_type, type, (
% 24.36/15.70 constB148: state_type)).
% 24.36/15.70 tff(constB147_type, type, (
% 24.36/15.70 constB147: state_type)).
% 24.36/15.70 tff(constB146_type, type, (
% 24.36/15.70 constB146: state_type)).
% 24.36/15.70 tff(constB145_type, type, (
% 24.36/15.70 constB145: state_type)).
% 24.36/15.70 tff(constB144_type, type, (
% 24.36/15.70 constB144: state_type)).
% 24.36/15.70 tff(v60_type, type, (
% 24.36/15.70 v60: state_type > $o)).
% 24.36/15.70 tff(v66_type, type, (
% 24.36/15.70 v66: state_type > $o)).
% 24.36/15.70 tff(v64_type, type, (
% 24.36/15.70 v64: state_type > $o)).
% 24.36/15.70 tff(v74_type, type, (
% 24.36/15.70 v74: state_type > $o)).
% 24.36/15.70 tff(v72_type, type, (
% 24.36/15.70 v72: state_type > $o)).
% 24.36/15.70 tff(v71_type, type, (
% 24.36/15.70 v71: state_type > $o)).
% 24.36/15.70 tff(v76_type, type, (
% 24.36/15.70 v76: state_type > $o)).
% 24.36/15.70 tff(v80_type, type, (
% 24.36/15.70 v80: state_type > $o)).
% 24.36/15.70 tff(v78_type, type, (
% 24.36/15.70 v78: state_type > $o)).
% 24.36/15.70 tff(constB154_type, type, (
% 24.36/15.70 constB154: state_type)).
% 24.36/15.70 tff(constB189_type, type, (
% 24.36/15.70 constB189: state_type)).
% 24.36/15.70 tff(constB188_type, type, (
% 24.36/15.70 constB188: state_type)).
% 24.36/15.70 tff(constB187_type, type, (
% 24.36/15.70 constB187: state_type)).
% 24.36/15.70 tff(constB186_type, type, (
% 24.36/15.70 constB186: state_type)).
% 24.36/15.70 tff(constB185_type, type, (
% 24.36/15.70 constB185: state_type)).
% 24.36/15.70 tff(constB184_type, type, (
% 24.36/15.70 constB184: state_type)).
% 24.36/15.70 tff(constB183_type, type, (
% 24.36/15.70 constB183: state_type)).
% 24.36/15.70 tff(constB182_type, type, (
% 24.36/15.70 constB182: state_type)).
% 24.36/15.70 tff(constB181_type, type, (
% 24.36/15.70 constB181: state_type)).
% 24.36/15.70 tff(constB180_type, type, (
% 24.36/15.70 constB180: state_type)).
% 24.36/15.70 tff(constB179_type, type, (
% 24.36/15.70 constB179: state_type)).
% 24.36/15.70 tff(constB178_type, type, (
% 24.36/15.70 constB178: state_type)).
% 24.36/15.70 tff(constB177_type, type, (
% 24.36/15.70 constB177: state_type)).
% 24.36/15.70 tff(constB176_type, type, (
% 24.36/15.70 constB176: state_type)).
% 24.36/15.70 tff(constB175_type, type, (
% 24.36/15.70 constB175: state_type)).
% 24.36/15.70 tff(constB174_type, type, (
% 24.36/15.70 constB174: state_type)).
% 24.36/15.70 tff(constB173_type, type, (
% 24.36/15.70 constB173: state_type)).
% 24.36/15.70 tff(constB172_type, type, (
% 24.36/15.70 constB172: state_type)).
% 24.36/15.70 tff(constB171_type, type, (
% 24.36/15.70 constB171: state_type)).
% 24.36/15.70 tff(constB170_type, type, (
% 24.36/15.70 constB170: state_type)).
% 24.36/15.70 tff(constB169_type, type, (
% 24.36/15.70 constB169: state_type)).
% 24.36/15.70 tff(constB168_type, type, (
% 24.36/15.70 constB168: state_type)).
% 24.36/15.70 tff(constB167_type, type, (
% 24.36/15.70 constB167: state_type)).
% 24.36/15.70 tff(constB166_type, type, (
% 24.36/15.70 constB166: state_type)).
% 24.36/15.70 tff(constB164_type, type, (
% 24.36/15.70 constB164: state_type)).
% 24.36/15.70 tff(constB163_type, type, (
% 24.36/15.70 constB163: state_type)).
% 24.36/15.70 tff(constB161_type, type, (
% 24.36/15.70 constB161: state_type)).
% 24.36/15.70 tff(constB160_type, type, (
% 24.36/15.70 constB160: state_type)).
% 24.36/15.70 tff(constB159_type, type, (
% 24.36/15.70 constB159: state_type)).
% 24.36/15.70 tff(constB158_type, type, (
% 24.36/15.70 constB158: state_type)).
% 24.36/15.70 tff(constB162_type, type, (
% 24.36/15.70 constB162: state_type)).
% 24.36/15.70 tff(v162_type, type, (
% 24.36/15.70 v162: state_type > $o)).
% 24.36/15.70 tff(v168_type, type, (
% 24.36/15.70 v168: state_type > $o)).
% 24.36/15.70 tff(v160_type, type, (
% 24.36/15.70 v160: state_type > $o)).
% 24.36/15.70 tff(v163_type, type, (
% 24.36/15.70 v163: state_type > $o)).
% 24.36/15.70 tff(v140_type, type, (
% 24.36/15.70 v140: state_type > $o)).
% 24.36/15.70 tff(v164_type, type, (
% 24.36/15.70 v164: state_type > $o)).
% 24.36/15.70 tff(v152_type, type, (
% 24.36/15.70 v152: state_type > $o)).
% 24.36/15.70 tff(v150_type, type, (
% 24.36/15.70 v150: state_type > $o)).
% 24.36/15.70 tff(v155_type, type, (
% 24.36/15.70 v155: state_type > $o)).
% 24.36/15.70 tff(v153_type, type, (
% 24.36/15.70 v153: state_type > $o)).
% 24.36/15.70 tff(v137_type, type, (
% 24.36/15.70 v137: state_type > $o)).
% 24.36/15.70 tff(v135_type, type, (
% 24.36/15.70 v135: state_type > $o)).
% 24.36/15.70 tff(v138_type, type, (
% 24.36/15.70 v138: state_type > $o)).
% 24.36/15.70 tff(v154_type, type, (
% 24.36/15.70 v154: state_type > $o)).
% 24.36/15.70 tff(v170_type, type, (
% 24.36/15.70 v170: state_type > $o)).
% 24.36/15.70 tff(v169_type, type, (
% 24.36/15.70 v169: state_type > $o)).
% 24.36/15.70 tff(constB196_type, type, (
% 24.36/15.70 constB196: state_type)).
% 24.36/15.70 tff(constB199_type, type, (
% 24.36/15.70 constB199: state_type)).
% 24.36/15.70 tff(constB198_type, type, (
% 24.36/15.70 constB198: state_type)).
% 24.36/15.70 tff(constB197_type, type, (
% 24.36/15.70 constB197: state_type)).
% 24.36/15.70 tff(constB195_type, type, (
% 24.36/15.70 constB195: state_type)).
% 24.36/15.70 tff(constB194_type, type, (
% 24.36/15.70 constB194: state_type)).
% 24.36/15.70 tff(constB193_type, type, (
% 24.36/15.70 constB193: state_type)).
% 24.36/15.70 tff(constB192_type, type, (
% 24.36/15.70 constB192: state_type)).
% 24.36/15.70 tff(constB191_type, type, (
% 24.36/15.70 constB191: state_type)).
% 24.36/15.70 tff(constB190_type, type, (
% 24.36/15.70 constB190: state_type)).
% 24.36/15.70 tff(constB200_type, type, (
% 24.36/15.70 constB200: state_type)).
% 24.36/15.70 tff(reachableState_type, type, (
% 24.36/15.70 reachableState: state_type > $o)).
% 24.36/15.70 tff(1,assumption,(constB165 = sK0_VarCurr), introduced(assumption)).
% 24.36/15.70 tff(2,plain,
% 24.36/15.70 (v84(constB165, bitIndex0) <=> v84(sK0_VarCurr, bitIndex0)),
% 24.36/15.70 inference(monotonicity,[status(thm)],[1])).
% 24.36/15.70 tff(3,plain,
% 24.36/15.70 (v84(sK0_VarCurr, bitIndex0) <=> v84(constB165, bitIndex0)),
% 24.36/15.70 inference(symmetry,[status(thm)],[2])).
% 24.36/15.70 tff(4,assumption,(~v84(sK0_VarCurr, bitIndex0)), introduced(assumption)).
% 24.36/15.70 tff(5,assumption,(~v84(sK0_VarCurr, bitIndex2)), introduced(assumption)).
% 24.36/15.70 tff(6,assumption,(constB71 = sK0_VarCurr), introduced(assumption)).
% 24.36/15.70 tff(7,plain,
% 24.36/15.70 (v84(constB71, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 24.36/15.70 inference(monotonicity,[status(thm)],[6])).
% 24.36/15.70 tff(8,plain,
% 24.36/15.70 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB71, bitIndex2)),
% 24.36/15.70 inference(symmetry,[status(thm)],[7])).
% 24.36/15.70 tff(9,plain,
% 24.36/15.70 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB71, bitIndex2))),
% 24.36/15.70 inference(monotonicity,[status(thm)],[8])).
% 24.36/15.70 tff(10,plain,
% 24.36/15.70 (~v84(constB71, bitIndex2)),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[5, 9])).
% 24.36/15.70 tff(11,assumption,(v26(constB35)), introduced(assumption)).
% 24.36/15.70 tff(12,plain,
% 24.36/15.70 (^[VarCurr: state_type] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 24.36/15.70 inference(bind,[status(th)],[])).
% 24.36/15.70 tff(13,plain,
% 24.36/15.70 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 24.36/15.70 inference(quant_intro,[status(thm)],[12])).
% 24.36/15.70 tff(14,plain,
% 24.36/15.70 (![VarCurr: state_type] : (~v26(VarCurr)) <=> ![VarCurr: state_type] : (~v26(VarCurr))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(15,axiom,(![VarCurr: state_type] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 24.36/15.70 tff(16,plain,
% 24.36/15.70 (![VarCurr: state_type] : (~v26(VarCurr))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[15, 14])).
% 24.36/15.70 tff(17,plain,(
% 24.36/15.70 ![VarCurr: state_type] : (~v26(VarCurr))),
% 24.36/15.70 inference(skolemize,[status(sab)],[16])).
% 24.36/15.70 tff(18,plain,
% 24.36/15.70 (![VarCurr: state_type] : (~v26(VarCurr))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[17, 13])).
% 24.36/15.70 tff(19,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB35))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(20,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[19, 18, 11])).
% 24.36/15.70 tff(21,plain,(~v26(constB35)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(22,assumption,(v26(constB29)), introduced(assumption)).
% 24.36/15.70 tff(23,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB29))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(24,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[23, 18, 22])).
% 24.36/15.70 tff(25,plain,(~v26(constB29)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(26,assumption,(v26(constB27)), introduced(assumption)).
% 24.36/15.70 tff(27,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB27))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(28,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[27, 18, 26])).
% 24.36/15.70 tff(29,plain,(~v26(constB27)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(30,assumption,(v26(constB15)), introduced(assumption)).
% 24.36/15.70 tff(31,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB15))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(32,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[31, 18, 30])).
% 24.36/15.70 tff(33,plain,(~v26(constB15)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(34,assumption,(v26(constB11)), introduced(assumption)).
% 24.36/15.70 tff(35,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB11))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(36,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[35, 18, 34])).
% 24.36/15.70 tff(37,plain,(~v26(constB11)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(38,assumption,(v26(constB9)), introduced(assumption)).
% 24.36/15.70 tff(39,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB9))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(40,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[39, 18, 38])).
% 24.36/15.70 tff(41,plain,(~v26(constB9)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(42,assumption,(v26(constB7)), introduced(assumption)).
% 24.36/15.70 tff(43,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB7))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(44,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[43, 18, 42])).
% 24.36/15.70 tff(45,plain,(~v26(constB7)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(46,assumption,(v26(constB5)), introduced(assumption)).
% 24.36/15.70 tff(47,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB5))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(48,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[47, 18, 46])).
% 24.36/15.70 tff(49,plain,(~v26(constB5)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(50,assumption,(v26(constB3)), introduced(assumption)).
% 24.36/15.70 tff(51,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB3))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(52,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[51, 18, 50])).
% 24.36/15.70 tff(53,plain,(~v26(constB3)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(54,assumption,(v26(constB1)), introduced(assumption)).
% 24.36/15.70 tff(55,plain,
% 24.36/15.70 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB1))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(56,plain,
% 24.36/15.70 ($false),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[55, 18, 54])).
% 24.36/15.70 tff(57,plain,(~v26(constB1)), inference(lemma,lemma(discharge,[]))).
% 24.36/15.70 tff(58,plain,
% 24.36/15.70 ((~v1(constB1)) <=> (~v1(constB1))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(59,axiom,(~v1(constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_1_1_1')).
% 24.36/15.70 tff(60,plain,
% 24.36/15.70 (~v1(constB1)),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[59, 58])).
% 24.36/15.70 tff(61,plain,
% 24.36/15.70 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(62,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_200')).
% 24.36/15.70 tff(63,plain,
% 24.36/15.70 (nextState(constB0, constB1)),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[62, 61])).
% 24.36/15.70 tff(64,plain,
% 24.36/15.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)))),
% 24.36/15.70 inference(bind,[status(th)],[])).
% 24.36/15.70 tff(65,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 24.36/15.70 inference(quant_intro,[status(thm)],[64])).
% 24.36/15.70 tff(66,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(67,plain,
% 24.36/15.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))))),
% 24.36/15.70 inference(bind,[status(th)],[])).
% 24.36/15.70 tff(68,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 24.36/15.70 inference(quant_intro,[status(thm)],[67])).
% 24.36/15.70 tff(69,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | v1(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_2')).
% 24.36/15.70 tff(70,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[69, 68])).
% 24.36/15.70 tff(71,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[70, 66])).
% 24.36/15.70 tff(72,plain,(
% 24.36/15.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 24.36/15.70 inference(skolemize,[status(sab)],[71])).
% 24.36/15.70 tff(73,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[72, 65])).
% 24.36/15.70 tff(74,plain,
% 24.36/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(75,plain,
% 24.36/15.70 (((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1)) <=> (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(76,plain,
% 24.36/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1))))),
% 24.36/15.70 inference(monotonicity,[status(thm)],[75])).
% 24.36/15.70 tff(77,plain,
% 24.36/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1)))),
% 24.36/15.70 inference(transitivity,[status(thm)],[76, 74])).
% 24.36/15.70 tff(78,plain,
% 24.36/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB0, constB1)) | (~v95(constB1)) | v1(constB1))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(79,plain,
% 24.36/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB1) | (~nextState(constB0, constB1)) | (~v95(constB1))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[78, 77])).
% 24.36/15.70 tff(80,plain,
% 24.36/15.70 (~v95(constB1)),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[79, 73, 63, 60])).
% 24.36/15.70 tff(81,plain,
% 24.36/15.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))))),
% 24.36/15.70 inference(bind,[status(th)],[])).
% 24.36/15.70 tff(82,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 24.36/15.70 inference(quant_intro,[status(thm)],[81])).
% 24.36/15.70 tff(83,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(84,plain,
% 24.36/15.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v94(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))))),
% 24.36/15.70 inference(bind,[status(th)],[])).
% 24.36/15.70 tff(85,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 24.36/15.70 inference(quant_intro,[status(thm)],[84])).
% 24.36/15.70 tff(86,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v95(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_3')).
% 24.36/15.70 tff(87,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[86, 85])).
% 24.36/15.70 tff(88,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[87, 83])).
% 24.36/15.70 tff(89,plain,(
% 24.36/15.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 24.36/15.70 inference(skolemize,[status(sab)],[88])).
% 24.36/15.70 tff(90,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[89, 82])).
% 24.36/15.70 tff(91,plain,
% 24.36/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(92,plain,
% 24.36/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1)))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(93,plain,
% 24.36/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB0, constB1)) | v95(constB1) | (~v94(constB1))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[92, 91])).
% 24.36/15.70 tff(94,plain,
% 24.36/15.70 (v95(constB1) | (~v94(constB1))),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[93, 90, 63])).
% 24.36/15.70 tff(95,plain,
% 24.36/15.70 (~v94(constB1)),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[94, 80])).
% 24.36/15.70 tff(96,plain,
% 24.36/15.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))))),
% 24.36/15.70 inference(bind,[status(th)],[])).
% 24.36/15.70 tff(97,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 24.36/15.70 inference(quant_intro,[status(thm)],[96])).
% 24.36/15.70 tff(98,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(99,plain,
% 24.36/15.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex2)))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex2))))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))))),
% 24.36/15.70 inference(bind,[status(th)],[])).
% 24.36/15.70 tff(100,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 24.36/15.70 inference(quant_intro,[status(thm)],[99])).
% 24.36/15.70 tff(101,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v84(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_6')).
% 24.36/15.70 tff(102,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[101, 100])).
% 24.36/15.70 tff(103,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[102, 98])).
% 24.36/15.70 tff(104,plain,(
% 24.36/15.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 24.36/15.70 inference(skolemize,[status(sab)],[103])).
% 24.36/15.70 tff(105,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[104, 97])).
% 24.36/15.70 tff(106,plain,
% 24.36/15.70 ((~v84(constB0, bitIndex2)) <=> (~v84(constB0, bitIndex2))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(107,axiom,(~v84(constB0, bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_4_1_1')).
% 24.36/15.70 tff(108,plain,
% 24.36/15.70 (~v84(constB0, bitIndex2)),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[107, 106])).
% 24.36/15.70 tff(109,plain,
% 24.36/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(110,plain,
% 24.36/15.70 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2))) <=> (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(111,plain,
% 24.36/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2))))),
% 24.36/15.70 inference(monotonicity,[status(thm)],[110])).
% 24.36/15.70 tff(112,plain,
% 24.36/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 24.36/15.70 inference(transitivity,[status(thm)],[111, 109])).
% 24.36/15.70 tff(113,plain,
% 24.36/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex2) | v94(constB1) | (~v84(constB1, bitIndex2)))),
% 24.36/15.70 inference(quant_inst,[status(thm)],[])).
% 24.36/15.70 tff(114,plain,
% 24.36/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB0, bitIndex2) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex2))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[113, 112])).
% 24.36/15.70 tff(115,plain,
% 24.36/15.70 (v94(constB1) | (~v84(constB1, bitIndex2))),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[114, 108, 105, 63])).
% 24.36/15.70 tff(116,plain,
% 24.36/15.70 (~v84(constB1, bitIndex2)),
% 24.36/15.70 inference(unit_resolution,[status(thm)],[115, 95])).
% 24.36/15.70 tff(117,plain,
% 24.36/15.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))))),
% 24.36/15.70 inference(bind,[status(th)],[])).
% 24.36/15.70 tff(118,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 24.36/15.70 inference(quant_intro,[status(thm)],[117])).
% 24.36/15.70 tff(119,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(120,plain,
% 24.36/15.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex1)))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex1))))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))))),
% 24.36/15.70 inference(bind,[status(th)],[])).
% 24.36/15.70 tff(121,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 24.36/15.70 inference(quant_intro,[status(thm)],[120])).
% 24.36/15.70 tff(122,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_4')).
% 24.36/15.70 tff(123,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[122, 121])).
% 24.36/15.70 tff(124,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[123, 119])).
% 24.36/15.70 tff(125,plain,(
% 24.36/15.70 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 24.36/15.70 inference(skolemize,[status(sab)],[124])).
% 24.36/15.70 tff(126,plain,
% 24.36/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[125, 118])).
% 24.36/15.70 tff(127,plain,
% 24.36/15.70 ((~v84(constB0, bitIndex1)) <=> (~v84(constB0, bitIndex1))),
% 24.36/15.70 inference(rewrite,[status(thm)],[])).
% 24.36/15.70 tff(128,axiom,(~v84(constB0, bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_3_1_1')).
% 24.36/15.70 tff(129,plain,
% 24.36/15.70 (~v84(constB0, bitIndex1)),
% 24.36/15.70 inference(modus_ponens,[status(thm)],[128, 127])).
% 24.39/15.70 tff(130,plain,
% 24.39/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 24.39/15.70 inference(rewrite,[status(thm)],[])).
% 24.39/15.70 tff(131,plain,
% 24.39/15.70 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1))) <=> (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 24.39/15.70 inference(rewrite,[status(thm)],[])).
% 24.39/15.70 tff(132,plain,
% 24.39/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1))))),
% 24.39/15.70 inference(monotonicity,[status(thm)],[131])).
% 24.39/15.70 tff(133,plain,
% 24.39/15.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 24.39/15.70 inference(transitivity,[status(thm)],[132, 130])).
% 24.39/15.70 tff(134,plain,
% 24.39/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex1) | v94(constB1) | (~v84(constB1, bitIndex1)))),
% 24.39/15.70 inference(quant_inst,[status(thm)],[])).
% 24.39/15.70 tff(135,plain,
% 24.39/15.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB0, bitIndex1) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex1))),
% 24.39/15.70 inference(modus_ponens,[status(thm)],[134, 133])).
% 24.39/15.70 tff(136,plain,
% 24.39/15.70 (v94(constB1) | (~v84(constB1, bitIndex1))),
% 24.39/15.70 inference(unit_resolution,[status(thm)],[135, 129, 126, 63])).
% 24.39/15.70 tff(137,plain,
% 24.39/15.70 (~v84(constB1, bitIndex1)),
% 24.39/15.70 inference(unit_resolution,[status(thm)],[136, 95])).
% 24.39/15.70 tff(138,plain,
% 24.39/15.70 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))))),
% 24.39/15.70 inference(bind,[status(th)],[])).
% 24.39/15.70 tff(139,plain,
% 24.39/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 24.39/15.70 inference(quant_intro,[status(thm)],[138])).
% 24.39/15.70 tff(140,plain,
% 24.39/15.70 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 24.39/15.70 inference(rewrite,[status(thm)],[])).
% 24.39/15.70 tff(141,plain,
% 24.39/15.70 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex0)))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex0))))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(142,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[141])).
% 24.39/15.71 tff(143,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 24.39/15.71 tff(144,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[143, 142])).
% 24.39/15.71 tff(145,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[144, 140])).
% 24.39/15.71 tff(146,plain,(
% 24.39/15.71 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 24.39/15.71 inference(skolemize,[status(sab)],[145])).
% 24.39/15.71 tff(147,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[146, 139])).
% 24.39/15.71 tff(148,plain,
% 24.39/15.71 ((~v84(constB0, bitIndex0)) <=> (~v84(constB0, bitIndex0))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(149,axiom,(~v84(constB0, bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_2_1_1')).
% 24.39/15.71 tff(150,plain,
% 24.39/15.71 (~v84(constB0, bitIndex0)),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[149, 148])).
% 24.39/15.71 tff(151,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(152,plain,
% 24.39/15.71 (((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0))) <=> (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(153,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0))))),
% 24.39/15.71 inference(monotonicity,[status(thm)],[152])).
% 24.39/15.71 tff(154,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 24.39/15.71 inference(transitivity,[status(thm)],[153, 151])).
% 24.39/15.71 tff(155,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB0, constB1)) | v84(constB0, bitIndex0) | v94(constB1) | (~v84(constB1, bitIndex0)))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(156,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB0, bitIndex0) | (~nextState(constB0, constB1)) | v94(constB1) | (~v84(constB1, bitIndex0))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[155, 154])).
% 24.39/15.71 tff(157,plain,
% 24.39/15.71 (v94(constB1) | (~v84(constB1, bitIndex0))),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[156, 150, 147, 63])).
% 24.39/15.71 tff(158,plain,
% 24.39/15.71 (~v84(constB1, bitIndex0)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[157, 95])).
% 24.39/15.71 tff(159,plain,
% 24.39/15.71 (^[VarCurr: state_type] : refl((v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(160,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[159])).
% 24.39/15.71 tff(161,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(162,plain,
% 24.39/15.71 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v113(VarCurr)) <=> ((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v113(VarCurr)))), rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v113(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v113(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(163,plain,
% 24.39/15.71 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v113(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[162])).
% 24.39/15.71 tff(164,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 24.39/15.71 tff(165,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[164, 163])).
% 24.39/15.71 tff(166,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[165, 161])).
% 24.39/15.71 tff(167,plain,(
% 24.39/15.71 ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 24.39/15.71 inference(skolemize,[status(sab)],[166])).
% 24.39/15.71 tff(168,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[167, 160])).
% 24.39/15.71 tff(169,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(170,plain,
% 24.39/15.71 ((v84(constB1, bitIndex0) | v113(constB1) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2)) <=> (v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(171,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v113(constB1) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1)))),
% 24.39/15.71 inference(monotonicity,[status(thm)],[170])).
% 24.39/15.71 tff(172,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v113(constB1) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1))),
% 24.39/15.71 inference(transitivity,[status(thm)],[171, 169])).
% 24.39/15.71 tff(173,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB1, bitIndex0) | v113(constB1) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(174,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | v113(constB1)),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[173, 172])).
% 24.39/15.71 tff(175,plain,
% 24.39/15.71 (v113(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[174, 168, 158, 137, 116])).
% 24.39/15.71 tff(176,plain,
% 24.39/15.71 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | v112(VarCurr)) <=> ((~v113(VarCurr)) | v112(VarCurr)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(177,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[176])).
% 24.39/15.71 tff(178,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(179,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_2')).
% 24.39/15.71 tff(180,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[179, 178])).
% 24.39/15.71 tff(181,plain,(
% 24.39/15.71 ![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 24.39/15.71 inference(skolemize,[status(sab)],[180])).
% 24.39/15.71 tff(182,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[181, 177])).
% 24.39/15.71 tff(183,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB1)) | v112(constB1))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB1)) | v112(constB1))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(184,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB1)) | v112(constB1))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(185,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB1)) | v112(constB1)),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[184, 183])).
% 24.39/15.71 tff(186,plain,
% 24.39/15.71 (v112(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[185, 182, 175])).
% 24.39/15.71 tff(187,plain,
% 24.39/15.71 (^[VarCurr: state_type] : refl(((~v112(VarCurr)) | v111(VarCurr)) <=> ((~v112(VarCurr)) | v111(VarCurr)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(188,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[187])).
% 24.39/15.71 tff(189,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(190,axiom,(![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_2')).
% 24.39/15.71 tff(191,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[190, 189])).
% 24.39/15.71 tff(192,plain,(
% 24.39/15.71 ![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 24.39/15.71 inference(skolemize,[status(sab)],[191])).
% 24.39/15.71 tff(193,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[192, 188])).
% 24.39/15.71 tff(194,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB1) | (~v112(constB1)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB1) | (~v112(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(195,plain,
% 24.39/15.71 (((~v112(constB1)) | v111(constB1)) <=> (v111(constB1) | (~v112(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(196,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB1)) | v111(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB1) | (~v112(constB1))))),
% 24.39/15.71 inference(monotonicity,[status(thm)],[195])).
% 24.39/15.71 tff(197,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB1)) | v111(constB1))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB1) | (~v112(constB1)))),
% 24.39/15.71 inference(transitivity,[status(thm)],[196, 194])).
% 24.39/15.71 tff(198,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB1)) | v111(constB1))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(199,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB1) | (~v112(constB1))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[198, 197])).
% 24.39/15.71 tff(200,plain,
% 24.39/15.71 (v111(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[199, 193, 186])).
% 24.39/15.71 tff(201,plain,
% 24.39/15.71 (^[VarCurr: state_type] : refl(((~v111(VarCurr)) | v110(VarCurr)) <=> ((~v111(VarCurr)) | v110(VarCurr)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(202,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr)) <=> ![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[201])).
% 24.39/15.71 tff(203,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr)) <=> ![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(204,axiom,(![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_2')).
% 24.39/15.71 tff(205,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[204, 203])).
% 24.39/15.71 tff(206,plain,(
% 24.39/15.71 ![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 24.39/15.71 inference(skolemize,[status(sab)],[205])).
% 24.39/15.71 tff(207,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[206, 202])).
% 24.39/15.71 tff(208,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB1) | (~v111(constB1)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB1) | (~v111(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(209,plain,
% 24.39/15.71 (((~v111(constB1)) | v110(constB1)) <=> (v110(constB1) | (~v111(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(210,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB1)) | v110(constB1))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB1) | (~v111(constB1))))),
% 24.39/15.71 inference(monotonicity,[status(thm)],[209])).
% 24.39/15.71 tff(211,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB1)) | v110(constB1))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB1) | (~v111(constB1)))),
% 24.39/15.71 inference(transitivity,[status(thm)],[210, 208])).
% 24.39/15.71 tff(212,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB1)) | v110(constB1))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(213,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB1) | (~v111(constB1))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[212, 211])).
% 24.39/15.71 tff(214,plain,
% 24.39/15.71 (v110(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[213, 207, 200])).
% 24.39/15.71 tff(215,plain,
% 24.39/15.71 (^[VarCurr: state_type] : refl(((~v110(VarCurr)) | v109(VarCurr)) <=> ((~v110(VarCurr)) | v109(VarCurr)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(216,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr)) <=> ![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[215])).
% 24.39/15.71 tff(217,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr)) <=> ![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(218,axiom,(![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_2')).
% 24.39/15.71 tff(219,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[218, 217])).
% 24.39/15.71 tff(220,plain,(
% 24.39/15.71 ![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 24.39/15.71 inference(skolemize,[status(sab)],[219])).
% 24.39/15.71 tff(221,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[220, 216])).
% 24.39/15.71 tff(222,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB1) | (~v110(constB1)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB1) | (~v110(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(223,plain,
% 24.39/15.71 (((~v110(constB1)) | v109(constB1)) <=> (v109(constB1) | (~v110(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(224,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB1)) | v109(constB1))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB1) | (~v110(constB1))))),
% 24.39/15.71 inference(monotonicity,[status(thm)],[223])).
% 24.39/15.71 tff(225,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB1)) | v109(constB1))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB1) | (~v110(constB1)))),
% 24.39/15.71 inference(transitivity,[status(thm)],[224, 222])).
% 24.39/15.71 tff(226,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB1)) | v109(constB1))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(227,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB1) | (~v110(constB1))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[226, 225])).
% 24.39/15.71 tff(228,plain,
% 24.39/15.71 (v109(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[227, 221, 214])).
% 24.39/15.71 tff(229,plain,
% 24.39/15.71 (^[VarCurr: state_type] : refl(((~v109(VarCurr)) | v108(VarCurr)) <=> ((~v109(VarCurr)) | v108(VarCurr)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(230,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[229])).
% 24.39/15.71 tff(231,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(232,axiom,(![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_2')).
% 24.39/15.71 tff(233,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[232, 231])).
% 24.39/15.71 tff(234,plain,(
% 24.39/15.71 ![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 24.39/15.71 inference(skolemize,[status(sab)],[233])).
% 24.39/15.71 tff(235,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[234, 230])).
% 24.39/15.71 tff(236,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v109(constB1)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v109(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(237,plain,
% 24.39/15.71 (((~v109(constB1)) | v108(constB1)) <=> (v108(constB1) | (~v109(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(238,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB1) | (~v109(constB1))))),
% 24.39/15.71 inference(monotonicity,[status(thm)],[237])).
% 24.39/15.71 tff(239,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB1)) | v108(constB1))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v109(constB1)))),
% 24.39/15.71 inference(transitivity,[status(thm)],[238, 236])).
% 24.39/15.71 tff(240,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB1)) | v108(constB1))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(241,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB1) | (~v109(constB1))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[240, 239])).
% 24.39/15.71 tff(242,plain,
% 24.39/15.71 (v108(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[241, 235, 228])).
% 24.39/15.71 tff(243,plain,
% 24.39/15.71 (^[VarCurr: state_type] : refl(((~v108(VarCurr)) | v107(VarCurr)) <=> ((~v108(VarCurr)) | v107(VarCurr)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(244,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[243])).
% 24.39/15.71 tff(245,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(246,axiom,(![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_2')).
% 24.39/15.71 tff(247,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[246, 245])).
% 24.39/15.71 tff(248,plain,(
% 24.39/15.71 ![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 24.39/15.71 inference(skolemize,[status(sab)],[247])).
% 24.39/15.71 tff(249,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[248, 244])).
% 24.39/15.71 tff(250,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB1)) | v107(constB1))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB1)) | v107(constB1))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(251,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB1)) | v107(constB1))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(252,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB1)) | v107(constB1)),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[251, 250])).
% 24.39/15.71 tff(253,plain,
% 24.39/15.71 (v107(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[252, 249, 242])).
% 24.39/15.71 tff(254,plain,
% 24.39/15.71 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(255,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[254])).
% 24.39/15.71 tff(256,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(257,plain,
% 24.39/15.71 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v107(VarCurr))) | v106(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(258,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((v26(VarCurr) | (~v107(VarCurr))) | v106(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[257])).
% 24.39/15.71 tff(259,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v107(VarCurr))) | v106(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_1')).
% 24.39/15.71 tff(260,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[259, 258])).
% 24.39/15.71 tff(261,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[260, 256])).
% 24.39/15.71 tff(262,plain,(
% 24.39/15.71 ![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 24.39/15.71 inference(skolemize,[status(sab)],[261])).
% 24.39/15.71 tff(263,plain,
% 24.39/15.71 (![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[262, 255])).
% 24.39/15.71 tff(264,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB1) | (~v107(constB1)) | v106(constB1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB1) | (~v107(constB1)) | v106(constB1))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(265,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB1) | (~v107(constB1)) | v106(constB1))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(266,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB1) | (~v107(constB1)) | v106(constB1)),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[265, 264])).
% 24.39/15.71 tff(267,plain,
% 24.39/15.71 (v26(constB1) | v106(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[266, 263, 253])).
% 24.39/15.71 tff(268,plain,
% 24.39/15.71 (v106(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[267, 57])).
% 24.39/15.71 tff(269,plain,
% 24.39/15.71 (^[VarCurr: state_type] : refl(((~v106(VarCurr)) | v102(VarCurr)) <=> ((~v106(VarCurr)) | v102(VarCurr)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(270,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr)) <=> ![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[269])).
% 24.39/15.71 tff(271,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr)) <=> ![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(272,axiom,(![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_1')).
% 24.39/15.71 tff(273,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[272, 271])).
% 24.39/15.71 tff(274,plain,(
% 24.39/15.71 ![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 24.39/15.71 inference(skolemize,[status(sab)],[273])).
% 24.39/15.71 tff(275,plain,
% 24.39/15.71 (![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[274, 270])).
% 24.39/15.71 tff(276,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB1) | (~v106(constB1)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB1) | (~v106(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(277,plain,
% 24.39/15.71 (((~v106(constB1)) | v102(constB1)) <=> (v102(constB1) | (~v106(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(278,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB1)) | v102(constB1))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB1) | (~v106(constB1))))),
% 24.39/15.71 inference(monotonicity,[status(thm)],[277])).
% 24.39/15.71 tff(279,plain,
% 24.39/15.71 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB1)) | v102(constB1))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB1) | (~v106(constB1)))),
% 24.39/15.71 inference(transitivity,[status(thm)],[278, 276])).
% 24.39/15.71 tff(280,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB1)) | v102(constB1))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(281,plain,
% 24.39/15.71 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB1) | (~v106(constB1))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[280, 279])).
% 24.39/15.71 tff(282,plain,
% 24.39/15.71 (v102(constB1)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[281, 275, 268])).
% 24.39/15.71 tff(283,plain,
% 24.39/15.71 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(284,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_1_1')).
% 24.39/15.71 tff(285,plain,
% 24.39/15.71 (nextState(constB1, constB2)),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[284, 283])).
% 24.39/15.71 tff(286,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(287,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[286])).
% 24.39/15.71 tff(288,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(289,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))), ((((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(290,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[289])).
% 24.39/15.71 tff(291,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v102(VarCurr))) | v104(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 24.39/15.71 tff(292,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[291, 290])).
% 24.39/15.71 tff(293,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[292, 288])).
% 24.39/15.71 tff(294,plain,(
% 24.39/15.71 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 24.39/15.71 inference(skolemize,[status(sab)],[293])).
% 24.39/15.71 tff(295,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[294, 287])).
% 24.39/15.71 tff(296,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(297,plain,
% 24.39/15.71 (((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2)) <=> ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(298,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1))))),
% 24.39/15.71 inference(monotonicity,[status(thm)],[297])).
% 24.39/15.71 tff(299,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1)))),
% 24.39/15.71 inference(transitivity,[status(thm)],[298, 296])).
% 24.39/15.71 tff(300,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB1, constB2)) | (~v102(constB1)) | v104(constB2))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(301,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB1, constB2)) | v104(constB2) | (~v102(constB1))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[300, 299])).
% 24.39/15.71 tff(302,plain,
% 24.39/15.71 (v104(constB2) | (~v102(constB1))),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[301, 295, 285])).
% 24.39/15.71 tff(303,plain,
% 24.39/15.71 (v104(constB2)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[302, 282])).
% 24.39/15.71 tff(304,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(305,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[304])).
% 24.39/15.71 tff(306,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(307,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v98(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(308,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[307])).
% 24.39/15.71 tff(309,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v98(VarNext))) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 24.39/15.71 tff(310,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[309, 308])).
% 24.39/15.71 tff(311,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[310, 306])).
% 24.39/15.71 tff(312,plain,(
% 24.39/15.71 ![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 24.39/15.71 inference(skolemize,[status(sab)],[311])).
% 24.39/15.71 tff(313,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[312, 305])).
% 24.39/15.71 tff(314,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(315,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2)))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(316,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB1) | (~nextState(constB1, constB2)) | (~v98(constB2))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[315, 314])).
% 24.39/15.71 tff(317,plain,
% 24.39/15.71 (~v98(constB2)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[316, 313, 285, 60])).
% 24.39/15.71 tff(318,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(319,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[318])).
% 24.39/15.71 tff(320,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(321,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v96(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext))), ((((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))), ((((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(322,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[321])).
% 24.39/15.71 tff(323,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | v96(VarNext)) | v98(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 24.39/15.71 tff(324,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[323, 322])).
% 24.39/15.71 tff(325,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[324, 320])).
% 24.39/15.71 tff(326,plain,(
% 24.39/15.71 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 24.39/15.71 inference(skolemize,[status(sab)],[325])).
% 24.39/15.71 tff(327,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[326, 319])).
% 24.39/15.71 tff(328,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(329,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB1, constB2)) | v96(constB2) | v98(constB2))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(330,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB1, constB2)) | v96(constB2) | v98(constB2)),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[329, 328])).
% 24.39/15.71 tff(331,plain,
% 24.39/15.71 (v96(constB2) | v98(constB2)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[330, 327, 285])).
% 24.39/15.71 tff(332,plain,
% 24.39/15.71 (v96(constB2)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[331, 317])).
% 24.39/15.71 tff(333,plain,
% 24.39/15.71 (v1(constB2) <=> v1(constB2)),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(334,axiom,(v1(constB2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_2_1')).
% 24.39/15.71 tff(335,plain,
% 24.39/15.71 (v1(constB2)),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[334, 333])).
% 24.39/15.71 tff(336,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(337,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[336])).
% 24.39/15.71 tff(338,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(339,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v96(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v96(VarNext)) | (~v1(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v96(VarNext)) | (~v1(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) | v95(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v96(VarNext)) | (~v1(VarNext))) | v95(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v96(VarNext)) | (~v1(VarNext))) | v95(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))), (((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) | v95(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(340,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) | v95(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[339])).
% 24.39/15.71 tff(341,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v96(VarNext))) | (~v1(VarNext))) | v95(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_18_1_1')).
% 24.39/15.71 tff(342,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[341, 340])).
% 24.39/15.71 tff(343,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[342, 338])).
% 24.39/15.71 tff(344,plain,(
% 24.39/15.71 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 24.39/15.71 inference(skolemize,[status(sab)],[343])).
% 24.39/15.71 tff(345,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[344, 337])).
% 24.39/15.71 tff(346,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(347,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2)))),
% 24.39/15.71 inference(quant_inst,[status(thm)],[])).
% 24.39/15.71 tff(348,plain,
% 24.39/15.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB1, constB2)) | v95(constB2) | (~v96(constB2)) | (~v1(constB2))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[347, 346])).
% 24.39/15.71 tff(349,plain,
% 24.39/15.71 (v95(constB2) | (~v96(constB2))),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[348, 345, 285, 335])).
% 24.39/15.71 tff(350,plain,
% 24.39/15.71 (v95(constB2)),
% 24.39/15.71 inference(unit_resolution,[status(thm)],[349, 332])).
% 24.39/15.71 tff(351,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(352,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[351])).
% 24.39/15.71 tff(353,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 24.39/15.71 inference(rewrite,[status(thm)],[])).
% 24.39/15.71 tff(354,plain,
% 24.39/15.71 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) <=> (((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))))), rewrite((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext))))), (((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) | v94(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext))) | v94(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext))) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))), (((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))))),
% 24.39/15.71 inference(bind,[status(th)],[])).
% 24.39/15.71 tff(355,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) | v94(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 24.39/15.71 inference(quant_intro,[status(thm)],[354])).
% 24.39/15.71 tff(356,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | (~v95(VarNext))) | (~v104(VarNext))) | v94(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_1')).
% 24.39/15.71 tff(357,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[356, 355])).
% 24.39/15.71 tff(358,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[357, 353])).
% 24.39/15.71 tff(359,plain,(
% 24.39/15.71 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 24.39/15.71 inference(skolemize,[status(sab)],[358])).
% 24.39/15.71 tff(360,plain,
% 24.39/15.71 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 24.39/15.71 inference(modus_ponens,[status(thm)],[359, 352])).
% 24.39/15.71 tff(361,plain,
% 24.39/15.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(362,plain,
% 24.39/15.72 (((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2)) <=> ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(363,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2))))),
% 24.39/15.72 inference(monotonicity,[status(thm)],[362])).
% 24.39/15.72 tff(364,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2)))),
% 24.39/15.72 inference(transitivity,[status(thm)],[363, 361])).
% 24.39/15.72 tff(365,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB1, constB2)) | (~v95(constB2)) | (~v104(constB2)) | v94(constB2))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(366,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB1, constB2)) | v94(constB2) | (~v95(constB2)) | (~v104(constB2))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[365, 364])).
% 24.39/15.72 tff(367,plain,
% 24.39/15.72 (v94(constB2) | (~v95(constB2)) | (~v104(constB2))),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[366, 360, 285])).
% 24.39/15.72 tff(368,plain,
% 24.39/15.72 (v94(constB2) | (~v104(constB2))),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[367, 350])).
% 24.39/15.72 tff(369,plain,
% 24.39/15.72 (v94(constB2)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[368, 303])).
% 24.39/15.72 tff(370,plain,
% 24.39/15.72 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(371,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[370])).
% 24.39/15.72 tff(372,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(373,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_3')).
% 24.39/15.72 tff(374,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[373, 372])).
% 24.39/15.72 tff(375,plain,(
% 24.39/15.72 ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(skolemize,[status(sab)],[374])).
% 24.39/15.72 tff(376,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[375, 371])).
% 24.39/15.72 tff(377,plain,
% 24.39/15.72 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB1)) | (~v124(constB1, bitIndex2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(378,plain,
% 24.39/15.72 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex2)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(379,plain,
% 24.39/15.72 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB1)) | (~v124(constB1, bitIndex2))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[378, 377])).
% 24.39/15.72 tff(380,plain,
% 24.39/15.72 (~v124(constB1, bitIndex2)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[379, 376, 175])).
% 24.39/15.72 tff(381,plain,
% 24.39/15.72 (^[VarCurr: state_type] : refl((v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(382,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[381])).
% 24.39/15.72 tff(383,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(384,plain,
% 24.39/15.72 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v121(VarCurr, bitIndex2))) | v124(VarCurr, bitIndex2)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(385,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex2))) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[384])).
% 24.39/15.72 tff(386,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex2))) | v124(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_6')).
% 24.39/15.72 tff(387,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[386, 385])).
% 24.39/15.72 tff(388,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[387, 383])).
% 24.39/15.72 tff(389,plain,(
% 24.39/15.72 ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(skolemize,[status(sab)],[388])).
% 24.39/15.72 tff(390,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[389, 382])).
% 24.39/15.72 tff(391,plain,
% 24.39/15.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(392,plain,
% 24.39/15.72 ((v26(constB1) | v124(constB1, bitIndex2) | (~v121(constB1, bitIndex2))) <=> ((~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(393,plain,
% 24.39/15.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB1) | v124(constB1, bitIndex2) | (~v121(constB1, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2)))),
% 24.39/15.72 inference(monotonicity,[status(thm)],[392])).
% 24.39/15.72 tff(394,plain,
% 24.39/15.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB1) | v124(constB1, bitIndex2) | (~v121(constB1, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2))),
% 24.39/15.72 inference(transitivity,[status(thm)],[393, 391])).
% 24.39/15.72 tff(395,plain,
% 24.39/15.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB1) | v124(constB1, bitIndex2) | (~v121(constB1, bitIndex2)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(396,plain,
% 24.39/15.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB1, bitIndex2)) | v26(constB1) | v124(constB1, bitIndex2)),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[395, 394])).
% 24.39/15.72 tff(397,plain,
% 24.39/15.72 ((~v121(constB1, bitIndex2)) | v26(constB1)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[396, 390, 380])).
% 24.39/15.72 tff(398,plain,
% 24.39/15.72 (~v121(constB1, bitIndex2)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[397, 57])).
% 24.39/15.72 tff(399,plain,
% 24.39/15.72 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(400,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[399])).
% 24.39/15.72 tff(401,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(402,plain,
% 24.39/15.72 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex2))) | v121(VarCurr, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(403,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex2))) | v121(VarCurr, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[402])).
% 24.39/15.72 tff(404,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex2))) | v121(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_6')).
% 24.39/15.72 tff(405,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[404, 403])).
% 24.39/15.72 tff(406,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[405, 401])).
% 24.39/15.72 tff(407,plain,(
% 24.39/15.72 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 24.39/15.72 inference(skolemize,[status(sab)],[406])).
% 24.39/15.72 tff(408,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[407, 400])).
% 24.39/15.72 tff(409,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(410,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(411,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[410, 409])).
% 24.39/15.72 tff(412,plain,
% 24.39/15.72 (v121(constB1, bitIndex2) | (~v123(constB2, bitIndex2))),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[411, 408, 285])).
% 24.39/15.72 tff(413,plain,
% 24.39/15.72 (~v123(constB2, bitIndex2)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[412, 398])).
% 24.39/15.72 tff(414,plain,
% 24.39/15.72 (^[VarNext: state_type] : refl(((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))) <=> ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(415,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[414])).
% 24.39/15.72 tff(416,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(417,plain,
% 24.39/15.72 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v123(VarNext, bitIndex2)) <=> ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(418,plain,
% 24.39/15.72 (![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v123(VarNext, bitIndex2)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[417])).
% 24.39/15.72 tff(419,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex2))) | v123(VarNext, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_6')).
% 24.39/15.72 tff(420,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[419, 418])).
% 24.39/15.72 tff(421,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[420, 416])).
% 24.39/15.72 tff(422,plain,(
% 24.39/15.72 ![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 24.39/15.72 inference(skolemize,[status(sab)],[421])).
% 24.39/15.72 tff(423,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[422, 415])).
% 24.39/15.72 tff(424,plain,
% 24.39/15.72 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(425,plain,
% 24.39/15.72 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(426,plain,
% 24.39/15.72 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2) | (~v94(constB2))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[425, 424])).
% 24.39/15.72 tff(427,plain,
% 24.39/15.72 ((~v84(constB2, bitIndex2)) | (~v94(constB2))),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[426, 423, 413])).
% 24.39/15.72 tff(428,plain,
% 24.39/15.72 (~v84(constB2, bitIndex2)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[427, 369])).
% 24.39/15.72 tff(429,plain,
% 24.39/15.72 ((~v1(constB3)) <=> (~v1(constB3))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(430,axiom,(~v1(constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_3_1_1')).
% 24.39/15.72 tff(431,plain,
% 24.39/15.72 (~v1(constB3)),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[430, 429])).
% 24.39/15.72 tff(432,plain,
% 24.39/15.72 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(433,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_2_1')).
% 24.39/15.72 tff(434,plain,
% 24.39/15.72 (nextState(constB2, constB3)),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[433, 432])).
% 24.39/15.72 tff(435,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(436,plain,
% 24.39/15.72 (((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3)) <=> (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(437,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3))))),
% 24.39/15.72 inference(monotonicity,[status(thm)],[436])).
% 24.39/15.72 tff(438,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3)))),
% 24.39/15.72 inference(transitivity,[status(thm)],[437, 435])).
% 24.39/15.72 tff(439,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB2, constB3)) | (~v95(constB3)) | v1(constB3))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(440,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB3) | (~nextState(constB2, constB3)) | (~v95(constB3))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[439, 438])).
% 24.39/15.72 tff(441,plain,
% 24.39/15.72 (~v95(constB3)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[440, 73, 434, 431])).
% 24.39/15.72 tff(442,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(443,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(444,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB2, constB3)) | v95(constB3) | (~v94(constB3))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[443, 442])).
% 24.39/15.72 tff(445,plain,
% 24.39/15.72 (v95(constB3) | (~v94(constB3))),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[444, 90, 434])).
% 24.39/15.72 tff(446,plain,
% 24.39/15.72 (~v94(constB3)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[445, 441])).
% 24.39/15.72 tff(447,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(448,plain,
% 24.39/15.72 (((~nextState(constB2, constB3)) | v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2))) <=> (v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(449,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2))))),
% 24.39/15.72 inference(monotonicity,[status(thm)],[448])).
% 24.39/15.72 tff(450,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2)))),
% 24.39/15.72 inference(transitivity,[status(thm)],[449, 447])).
% 24.39/15.72 tff(451,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(452,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB2, bitIndex2) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex2))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[451, 450])).
% 24.39/15.72 tff(453,plain,
% 24.39/15.72 (v84(constB2, bitIndex2) | v94(constB3) | (~v84(constB3, bitIndex2))),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[452, 105, 434])).
% 24.39/15.72 tff(454,plain,
% 24.39/15.72 (v84(constB2, bitIndex2) | (~v84(constB3, bitIndex2))),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[453, 446])).
% 24.39/15.72 tff(455,plain,
% 24.39/15.72 (~v84(constB3, bitIndex2)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[454, 428])).
% 24.39/15.72 tff(456,plain,
% 24.39/15.72 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(457,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[456])).
% 24.39/15.72 tff(458,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(459,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_2')).
% 24.39/15.72 tff(460,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[459, 458])).
% 24.39/15.72 tff(461,plain,(
% 24.39/15.72 ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(skolemize,[status(sab)],[460])).
% 24.39/15.72 tff(462,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[461, 457])).
% 24.39/15.72 tff(463,plain,
% 24.39/15.72 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB1)) | (~v124(constB1, bitIndex1)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(464,plain,
% 24.39/15.72 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB1)) | (~v124(constB1, bitIndex1)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(465,plain,
% 24.39/15.72 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB1)) | (~v124(constB1, bitIndex1))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[464, 463])).
% 24.39/15.72 tff(466,plain,
% 24.39/15.72 (~v124(constB1, bitIndex1)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[465, 462, 175])).
% 24.39/15.72 tff(467,plain,
% 24.39/15.72 (^[VarCurr: state_type] : refl((v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(468,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[467])).
% 24.39/15.72 tff(469,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(470,plain,
% 24.39/15.72 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v121(VarCurr, bitIndex1))) | v124(VarCurr, bitIndex1)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(471,plain,
% 24.39/15.72 (![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex1))) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[470])).
% 24.39/15.72 tff(472,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex1))) | v124(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_4')).
% 24.39/15.72 tff(473,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[472, 471])).
% 24.39/15.72 tff(474,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[473, 469])).
% 24.39/15.72 tff(475,plain,(
% 24.39/15.72 ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(skolemize,[status(sab)],[474])).
% 24.39/15.72 tff(476,plain,
% 24.39/15.72 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[475, 468])).
% 24.39/15.72 tff(477,plain,
% 24.39/15.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(478,plain,
% 24.39/15.72 ((v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1))) <=> ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(479,plain,
% 24.39/15.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1)))),
% 24.39/15.72 inference(monotonicity,[status(thm)],[478])).
% 24.39/15.72 tff(480,plain,
% 24.39/15.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1))),
% 24.39/15.72 inference(transitivity,[status(thm)],[479, 477])).
% 24.39/15.72 tff(481,plain,
% 24.39/15.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB1) | v124(constB1, bitIndex1) | (~v121(constB1, bitIndex1)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(482,plain,
% 24.39/15.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB1, bitIndex1)) | v26(constB1) | v124(constB1, bitIndex1)),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[481, 480])).
% 24.39/15.72 tff(483,plain,
% 24.39/15.72 ((~v121(constB1, bitIndex1)) | v26(constB1)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[482, 476, 466])).
% 24.39/15.72 tff(484,plain,
% 24.39/15.72 (~v121(constB1, bitIndex1)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[483, 57])).
% 24.39/15.72 tff(485,plain,
% 24.39/15.72 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(486,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[485])).
% 24.39/15.72 tff(487,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(488,plain,
% 24.39/15.72 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex1))) | v121(VarCurr, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1))))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(489,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex1))) | v121(VarCurr, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[488])).
% 24.39/15.72 tff(490,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex1))) | v121(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_4')).
% 24.39/15.72 tff(491,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[490, 489])).
% 24.39/15.72 tff(492,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[491, 487])).
% 24.39/15.72 tff(493,plain,(
% 24.39/15.72 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 24.39/15.72 inference(skolemize,[status(sab)],[492])).
% 24.39/15.72 tff(494,plain,
% 24.39/15.72 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[493, 486])).
% 24.39/15.72 tff(495,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(496,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(497,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB1, constB2)) | v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[496, 495])).
% 24.39/15.72 tff(498,plain,
% 24.39/15.72 (v121(constB1, bitIndex1) | (~v123(constB2, bitIndex1))),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[497, 494, 285])).
% 24.39/15.72 tff(499,plain,
% 24.39/15.72 (~v123(constB2, bitIndex1)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[498, 484])).
% 24.39/15.72 tff(500,plain,
% 24.39/15.72 (^[VarNext: state_type] : refl(((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(501,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[500])).
% 24.39/15.72 tff(502,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(503,plain,
% 24.39/15.72 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v123(VarNext, bitIndex1)) <=> ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1)))),
% 24.39/15.72 inference(bind,[status(th)],[])).
% 24.39/15.72 tff(504,plain,
% 24.39/15.72 (![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 24.39/15.72 inference(quant_intro,[status(thm)],[503])).
% 24.39/15.72 tff(505,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex1))) | v123(VarNext, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_4')).
% 24.39/15.72 tff(506,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[505, 504])).
% 24.39/15.72 tff(507,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[506, 502])).
% 24.39/15.72 tff(508,plain,(
% 24.39/15.72 ![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 24.39/15.72 inference(skolemize,[status(sab)],[507])).
% 24.39/15.72 tff(509,plain,
% 24.39/15.72 (![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[508, 501])).
% 24.39/15.72 tff(510,plain,
% 24.39/15.72 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(511,plain,
% 24.39/15.72 (((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1)) <=> ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(512,plain,
% 24.39/15.72 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2))))),
% 24.39/15.72 inference(monotonicity,[status(thm)],[511])).
% 24.39/15.72 tff(513,plain,
% 24.39/15.72 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2)))),
% 24.39/15.72 inference(transitivity,[status(thm)],[512, 510])).
% 24.39/15.72 tff(514,plain,
% 24.39/15.72 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB2, bitIndex1)) | (~v94(constB2)) | v123(constB2, bitIndex1))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(515,plain,
% 24.39/15.72 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1) | (~v94(constB2))),
% 24.39/15.72 inference(modus_ponens,[status(thm)],[514, 513])).
% 24.39/15.72 tff(516,plain,
% 24.39/15.72 ((~v84(constB2, bitIndex1)) | (~v94(constB2))),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[515, 509, 499])).
% 24.39/15.72 tff(517,plain,
% 24.39/15.72 (~v84(constB2, bitIndex1)),
% 24.39/15.72 inference(unit_resolution,[status(thm)],[516, 369])).
% 24.39/15.72 tff(518,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(519,plain,
% 24.39/15.72 (((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1))) <=> (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 24.39/15.72 inference(rewrite,[status(thm)],[])).
% 24.39/15.72 tff(520,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1))))),
% 24.39/15.72 inference(monotonicity,[status(thm)],[519])).
% 24.39/15.72 tff(521,plain,
% 24.39/15.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 24.39/15.72 inference(transitivity,[status(thm)],[520, 518])).
% 24.39/15.72 tff(522,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB2, constB3)) | v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1)))),
% 24.39/15.72 inference(quant_inst,[status(thm)],[])).
% 24.39/15.72 tff(523,plain,
% 24.39/15.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB2, bitIndex1) | (~nextState(constB2, constB3)) | v94(constB3) | (~v84(constB3, bitIndex1))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[522, 521])).
% 24.39/15.73 tff(524,plain,
% 24.39/15.73 (v84(constB2, bitIndex1) | v94(constB3) | (~v84(constB3, bitIndex1))),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[523, 126, 434])).
% 24.39/15.73 tff(525,plain,
% 24.39/15.73 (v84(constB2, bitIndex1) | (~v84(constB3, bitIndex1))),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[524, 446])).
% 24.39/15.73 tff(526,plain,
% 24.39/15.73 (~v84(constB3, bitIndex1)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[525, 517])).
% 24.39/15.73 tff(527,plain,
% 24.39/15.73 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v113(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(528,plain,
% 24.39/15.73 (![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[527])).
% 24.39/15.73 tff(529,plain,
% 24.39/15.73 (![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(530,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_1')).
% 24.39/15.73 tff(531,plain,
% 24.39/15.73 (![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[530, 529])).
% 24.39/15.73 tff(532,plain,(
% 24.39/15.73 ![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.39/15.73 inference(skolemize,[status(sab)],[531])).
% 24.39/15.73 tff(533,plain,
% 24.39/15.73 (![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[532, 528])).
% 24.39/15.73 tff(534,plain,
% 24.39/15.73 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB1)) | v124(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB1)) | v124(constB1, bitIndex0))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(535,plain,
% 24.39/15.73 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB1)) | v124(constB1, bitIndex0))),
% 24.39/15.73 inference(quant_inst,[status(thm)],[])).
% 24.39/15.73 tff(536,plain,
% 24.39/15.73 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB1)) | v124(constB1, bitIndex0)),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[535, 534])).
% 24.39/15.73 tff(537,plain,
% 24.39/15.73 (v124(constB1, bitIndex0)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[536, 533, 175])).
% 24.39/15.73 tff(538,plain,
% 24.39/15.73 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(539,plain,
% 24.39/15.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[538])).
% 24.39/15.73 tff(540,plain,
% 24.39/15.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(541,plain,
% 24.39/15.73 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v124(VarCurr, bitIndex0))) | v121(VarCurr, bitIndex0)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0)))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(542,plain,
% 24.39/15.73 (![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex0))) | v121(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[541])).
% 24.39/15.73 tff(543,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex0))) | v121(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 24.39/15.73 tff(544,plain,
% 24.39/15.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[543, 542])).
% 24.39/15.73 tff(545,plain,
% 24.39/15.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[544, 540])).
% 24.39/15.73 tff(546,plain,(
% 24.39/15.73 ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 24.39/15.73 inference(skolemize,[status(sab)],[545])).
% 24.39/15.73 tff(547,plain,
% 24.39/15.73 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[546, 539])).
% 24.39/15.73 tff(548,plain,
% 24.39/15.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB1) | (~v124(constB1, bitIndex0)) | v121(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB1) | (~v124(constB1, bitIndex0)) | v121(constB1, bitIndex0))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(549,plain,
% 24.39/15.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB1) | (~v124(constB1, bitIndex0)) | v121(constB1, bitIndex0))),
% 24.39/15.73 inference(quant_inst,[status(thm)],[])).
% 24.39/15.73 tff(550,plain,
% 24.39/15.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB1) | (~v124(constB1, bitIndex0)) | v121(constB1, bitIndex0)),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[549, 548])).
% 24.39/15.73 tff(551,plain,
% 24.39/15.73 (v26(constB1) | v121(constB1, bitIndex0)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[550, 547, 537])).
% 24.39/15.73 tff(552,plain,
% 24.39/15.73 (v121(constB1, bitIndex0)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[551, 57])).
% 24.39/15.73 tff(553,plain,
% 24.39/15.73 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(554,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[553])).
% 24.39/15.73 tff(555,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(556,plain,
% 24.39/15.73 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0))) | v123(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0)))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(557,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0))) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[556])).
% 24.39/15.73 tff(558,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0))) | v123(VarNext, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 24.39/15.73 tff(559,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[558, 557])).
% 24.39/15.73 tff(560,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[559, 555])).
% 24.39/15.73 tff(561,plain,(
% 24.39/15.73 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 24.39/15.73 inference(skolemize,[status(sab)],[560])).
% 24.39/15.73 tff(562,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[561, 554])).
% 24.39/15.73 tff(563,plain,
% 24.39/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(564,plain,
% 24.39/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0))),
% 24.39/15.73 inference(quant_inst,[status(thm)],[])).
% 24.39/15.73 tff(565,plain,
% 24.39/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0)),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[564, 563])).
% 24.39/15.73 tff(566,plain,
% 24.39/15.73 ((~v121(constB1, bitIndex0)) | v123(constB2, bitIndex0)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[565, 562, 285])).
% 24.39/15.73 tff(567,plain,
% 24.39/15.73 (v123(constB2, bitIndex0)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[566, 552])).
% 24.39/15.73 tff(568,plain,
% 24.39/15.73 (^[VarNext: state_type] : refl((v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(569,plain,
% 24.39/15.73 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[568])).
% 24.39/15.73 tff(570,plain,
% 24.39/15.73 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(571,plain,
% 24.39/15.73 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v123(VarNext, bitIndex0))) | v84(VarNext, bitIndex0)) <=> (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0))))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(572,plain,
% 24.39/15.73 (![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex0))) | v84(VarNext, bitIndex0)) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[571])).
% 24.39/15.73 tff(573,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex0))) | v84(VarNext, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_1')).
% 24.39/15.73 tff(574,plain,
% 24.39/15.73 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[573, 572])).
% 24.39/15.73 tff(575,plain,
% 24.39/15.73 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[574, 570])).
% 24.39/15.73 tff(576,plain,(
% 24.39/15.73 ![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 24.39/15.73 inference(skolemize,[status(sab)],[575])).
% 24.39/15.73 tff(577,plain,
% 24.39/15.73 (![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[576, 569])).
% 24.39/15.73 tff(578,plain,
% 24.39/15.73 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2)))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(579,plain,
% 24.39/15.73 ((v84(constB2, bitIndex0) | (~v94(constB2)) | (~v123(constB2, bitIndex0))) <=> (v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2)))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(580,plain,
% 24.39/15.73 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v94(constB2)) | (~v123(constB2, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2))))),
% 24.39/15.73 inference(monotonicity,[status(thm)],[579])).
% 24.39/15.73 tff(581,plain,
% 24.39/15.73 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v94(constB2)) | (~v123(constB2, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2)))),
% 24.39/15.73 inference(transitivity,[status(thm)],[580, 578])).
% 24.39/15.73 tff(582,plain,
% 24.39/15.73 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB2, bitIndex0) | (~v94(constB2)) | (~v123(constB2, bitIndex0)))),
% 24.39/15.73 inference(quant_inst,[status(thm)],[])).
% 24.39/15.73 tff(583,plain,
% 24.39/15.73 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0)) | (~v94(constB2))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[582, 581])).
% 24.39/15.73 tff(584,plain,
% 24.39/15.73 (v84(constB2, bitIndex0) | (~v94(constB2))),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[583, 577, 567])).
% 24.39/15.73 tff(585,plain,
% 24.39/15.73 (v84(constB2, bitIndex0)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[584, 369])).
% 24.39/15.73 tff(586,plain,
% 24.39/15.73 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(587,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[586])).
% 24.39/15.73 tff(588,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(589,plain,
% 24.39/15.73 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) | v84(VarNext, bitIndex0)) <=> (((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext)) | v84(VarNext, bitIndex0)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext)) | v84(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) | v84(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(590,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) | v84(VarNext, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[589])).
% 24.39/15.73 tff(591,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex0))) | v84(VarNext, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 24.39/15.73 tff(592,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[591, 590])).
% 24.39/15.73 tff(593,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[592, 588])).
% 24.39/15.73 tff(594,plain,(
% 24.39/15.73 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 24.39/15.73 inference(skolemize,[status(sab)],[593])).
% 24.39/15.73 tff(595,plain,
% 24.39/15.73 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[594, 587])).
% 24.39/15.73 tff(596,plain,
% 24.39/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(597,plain,
% 24.39/15.73 (((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0)) <=> ((~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(598,plain,
% 24.39/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0)))),
% 24.39/15.73 inference(monotonicity,[status(thm)],[597])).
% 24.39/15.73 tff(599,plain,
% 24.39/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0))),
% 24.39/15.73 inference(transitivity,[status(thm)],[598, 596])).
% 24.39/15.73 tff(600,plain,
% 24.39/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB2, constB3)) | (~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0))),
% 24.39/15.73 inference(quant_inst,[status(thm)],[])).
% 24.39/15.73 tff(601,plain,
% 24.39/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB2, bitIndex0)) | (~nextState(constB2, constB3)) | v94(constB3) | v84(constB3, bitIndex0)),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[600, 599])).
% 24.39/15.73 tff(602,plain,
% 24.39/15.73 ((~v84(constB2, bitIndex0)) | v94(constB3) | v84(constB3, bitIndex0)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[601, 595, 434])).
% 24.39/15.73 tff(603,plain,
% 24.39/15.73 ((~v84(constB2, bitIndex0)) | v84(constB3, bitIndex0)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[602, 446])).
% 24.39/15.73 tff(604,plain,
% 24.39/15.73 (v84(constB3, bitIndex0)),
% 24.39/15.73 inference(unit_resolution,[status(thm)],[603, 585])).
% 24.39/15.73 tff(605,plain,
% 24.39/15.73 (^[VarCurr: state_type] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(606,plain,
% 24.39/15.73 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[605])).
% 24.39/15.73 tff(607,plain,
% 24.39/15.73 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 24.39/15.73 inference(rewrite,[status(thm)],[])).
% 24.39/15.73 tff(608,plain,
% 24.39/15.73 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) | v145(VarCurr)) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v145(VarCurr)))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v145(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))), ((((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) | v145(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))))),
% 24.39/15.73 inference(bind,[status(th)],[])).
% 24.39/15.73 tff(609,plain,
% 24.39/15.73 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) | v145(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 24.39/15.73 inference(quant_intro,[status(thm)],[608])).
% 24.39/15.73 tff(610,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex0))) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 24.39/15.73 tff(611,plain,
% 24.39/15.73 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[610, 609])).
% 24.39/15.73 tff(612,plain,
% 24.39/15.73 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 24.39/15.73 inference(modus_ponens,[status(thm)],[611, 607])).
% 24.39/15.73 tff(613,plain,(
% 24.39/15.73 ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 24.42/15.73 inference(skolemize,[status(sab)],[612])).
% 24.42/15.73 tff(614,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[613, 606])).
% 24.42/15.73 tff(615,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB3, bitIndex0)) | v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | v145(constB3))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB3, bitIndex0)) | v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | v145(constB3))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(616,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB3, bitIndex0)) | v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | v145(constB3))),
% 24.42/15.73 inference(quant_inst,[status(thm)],[])).
% 24.42/15.73 tff(617,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB3, bitIndex0)) | v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | v145(constB3)),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[616, 615])).
% 24.42/15.73 tff(618,plain,
% 24.42/15.73 (v145(constB3)),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[617, 614, 604, 526, 455])).
% 24.42/15.73 tff(619,plain,
% 24.42/15.73 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 24.42/15.73 inference(bind,[status(th)],[])).
% 24.42/15.73 tff(620,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.73 inference(quant_intro,[status(thm)],[619])).
% 24.42/15.73 tff(621,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(622,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_3')).
% 24.42/15.73 tff(623,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[622, 621])).
% 24.42/15.73 tff(624,plain,(
% 24.42/15.73 ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.73 inference(skolemize,[status(sab)],[623])).
% 24.42/15.73 tff(625,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[624, 620])).
% 24.42/15.73 tff(626,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB3)) | (~v124(constB3, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB3)) | (~v124(constB3, bitIndex2)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(627,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB3)) | (~v124(constB3, bitIndex2)))),
% 24.42/15.73 inference(quant_inst,[status(thm)],[])).
% 24.42/15.73 tff(628,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB3)) | (~v124(constB3, bitIndex2))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[627, 626])).
% 24.42/15.73 tff(629,plain,
% 24.42/15.73 (~v124(constB3, bitIndex2)),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[628, 625, 618])).
% 24.42/15.73 tff(630,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(631,plain,
% 24.42/15.73 ((v26(constB3) | v124(constB3, bitIndex2) | (~v121(constB3, bitIndex2))) <=> ((~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(632,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB3) | v124(constB3, bitIndex2) | (~v121(constB3, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2)))),
% 24.42/15.73 inference(monotonicity,[status(thm)],[631])).
% 24.42/15.73 tff(633,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB3) | v124(constB3, bitIndex2) | (~v121(constB3, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2))),
% 24.42/15.73 inference(transitivity,[status(thm)],[632, 630])).
% 24.42/15.73 tff(634,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB3) | v124(constB3, bitIndex2) | (~v121(constB3, bitIndex2)))),
% 24.42/15.73 inference(quant_inst,[status(thm)],[])).
% 24.42/15.73 tff(635,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB3, bitIndex2)) | v26(constB3) | v124(constB3, bitIndex2)),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[634, 633])).
% 24.42/15.73 tff(636,plain,
% 24.42/15.73 ((~v121(constB3, bitIndex2)) | v26(constB3)),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[635, 390, 629])).
% 24.42/15.73 tff(637,plain,
% 24.42/15.73 (~v121(constB3, bitIndex2)),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[636, 53])).
% 24.42/15.73 tff(638,plain,
% 24.42/15.73 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(639,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_3_1')).
% 24.42/15.73 tff(640,plain,
% 24.42/15.73 (nextState(constB3, constB4)),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[639, 638])).
% 24.42/15.73 tff(641,plain,
% 24.42/15.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(642,plain,
% 24.42/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2)))),
% 24.42/15.73 inference(quant_inst,[status(thm)],[])).
% 24.42/15.73 tff(643,plain,
% 24.42/15.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[642, 641])).
% 24.42/15.73 tff(644,plain,
% 24.42/15.73 (v121(constB3, bitIndex2) | (~v123(constB4, bitIndex2))),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[643, 408, 640])).
% 24.42/15.73 tff(645,plain,
% 24.42/15.73 (~v123(constB4, bitIndex2)),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[644, 637])).
% 24.42/15.73 tff(646,assumption,(~v102(constB3)), introduced(assumption)).
% 24.42/15.73 tff(647,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB3) | (~v106(constB3)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v106(constB3)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(648,plain,
% 24.42/15.73 (((~v106(constB3)) | v102(constB3)) <=> (v102(constB3) | (~v106(constB3)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(649,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB3)) | v102(constB3))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB3) | (~v106(constB3))))),
% 24.42/15.73 inference(monotonicity,[status(thm)],[648])).
% 24.42/15.73 tff(650,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB3)) | v102(constB3))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v106(constB3)))),
% 24.42/15.73 inference(transitivity,[status(thm)],[649, 647])).
% 24.42/15.73 tff(651,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB3)) | v102(constB3))),
% 24.42/15.73 inference(quant_inst,[status(thm)],[])).
% 24.42/15.73 tff(652,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v106(constB3))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[651, 650])).
% 24.42/15.73 tff(653,plain,
% 24.42/15.73 (~v106(constB3)),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[652, 275, 646])).
% 24.42/15.73 tff(654,plain,
% 24.42/15.73 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v102(VarCurr)) <=> ((~v26(VarCurr)) | v102(VarCurr)))),
% 24.42/15.73 inference(bind,[status(th)],[])).
% 24.42/15.73 tff(655,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 24.42/15.73 inference(quant_intro,[status(thm)],[654])).
% 24.42/15.73 tff(656,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(657,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_2')).
% 24.42/15.73 tff(658,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[657, 656])).
% 24.42/15.73 tff(659,plain,(
% 24.42/15.73 ![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 24.42/15.73 inference(skolemize,[status(sab)],[658])).
% 24.42/15.73 tff(660,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[659, 655])).
% 24.42/15.73 tff(661,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB3) | (~v26(constB3)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v26(constB3)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(662,plain,
% 24.42/15.73 (((~v26(constB3)) | v102(constB3)) <=> (v102(constB3) | (~v26(constB3)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(663,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB3)) | v102(constB3))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB3) | (~v26(constB3))))),
% 24.42/15.73 inference(monotonicity,[status(thm)],[662])).
% 24.42/15.73 tff(664,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB3)) | v102(constB3))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v26(constB3)))),
% 24.42/15.73 inference(transitivity,[status(thm)],[663, 661])).
% 24.42/15.73 tff(665,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB3)) | v102(constB3))),
% 24.42/15.73 inference(quant_inst,[status(thm)],[])).
% 24.42/15.73 tff(666,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB3) | (~v26(constB3))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[665, 664])).
% 24.42/15.73 tff(667,plain,
% 24.42/15.73 (~v26(constB3)),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[666, 660, 646])).
% 24.42/15.73 tff(668,plain,
% 24.42/15.73 (^[VarCurr: state_type] : refl((v112(VarCurr) | (~v145(VarCurr))) <=> (v112(VarCurr) | (~v145(VarCurr))))),
% 24.42/15.73 inference(bind,[status(th)],[])).
% 24.42/15.73 tff(669,plain,
% 24.42/15.73 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 24.42/15.73 inference(quant_intro,[status(thm)],[668])).
% 24.42/15.73 tff(670,plain,
% 24.42/15.73 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(671,plain,
% 24.42/15.73 (^[VarCurr: state_type] : rewrite(((~v145(VarCurr)) | v112(VarCurr)) <=> (v112(VarCurr) | (~v145(VarCurr))))),
% 24.42/15.73 inference(bind,[status(th)],[])).
% 24.42/15.73 tff(672,plain,
% 24.42/15.73 (![VarCurr: state_type] : ((~v145(VarCurr)) | v112(VarCurr)) <=> ![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 24.42/15.73 inference(quant_intro,[status(thm)],[671])).
% 24.42/15.73 tff(673,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v112(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_1')).
% 24.42/15.73 tff(674,plain,
% 24.42/15.73 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[673, 672])).
% 24.42/15.73 tff(675,plain,
% 24.42/15.73 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[674, 670])).
% 24.42/15.73 tff(676,plain,(
% 24.42/15.73 ![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 24.42/15.73 inference(skolemize,[status(sab)],[675])).
% 24.42/15.73 tff(677,plain,
% 24.42/15.73 (![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[676, 669])).
% 24.42/15.73 tff(678,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB3) | (~v145(constB3)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB3) | (~v145(constB3)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(679,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB3) | (~v145(constB3)))),
% 24.42/15.73 inference(quant_inst,[status(thm)],[])).
% 24.42/15.73 tff(680,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB3) | (~v145(constB3))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[679, 678])).
% 24.42/15.73 tff(681,plain,
% 24.42/15.73 (v112(constB3)),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[680, 677, 618])).
% 24.42/15.73 tff(682,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB3) | (~v112(constB3)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB3) | (~v112(constB3)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(683,plain,
% 24.42/15.73 (((~v112(constB3)) | v111(constB3)) <=> (v111(constB3) | (~v112(constB3)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(684,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB3)) | v111(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB3) | (~v112(constB3))))),
% 24.42/15.73 inference(monotonicity,[status(thm)],[683])).
% 24.42/15.73 tff(685,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB3)) | v111(constB3))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB3) | (~v112(constB3)))),
% 24.42/15.73 inference(transitivity,[status(thm)],[684, 682])).
% 24.42/15.73 tff(686,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB3)) | v111(constB3))),
% 24.42/15.73 inference(quant_inst,[status(thm)],[])).
% 24.42/15.73 tff(687,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB3) | (~v112(constB3))),
% 24.42/15.73 inference(modus_ponens,[status(thm)],[686, 685])).
% 24.42/15.73 tff(688,plain,
% 24.42/15.73 (v111(constB3)),
% 24.42/15.73 inference(unit_resolution,[status(thm)],[687, 193, 681])).
% 24.42/15.73 tff(689,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB3) | (~v111(constB3)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB3) | (~v111(constB3)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(690,plain,
% 24.42/15.73 (((~v111(constB3)) | v110(constB3)) <=> (v110(constB3) | (~v111(constB3)))),
% 24.42/15.73 inference(rewrite,[status(thm)],[])).
% 24.42/15.73 tff(691,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB3)) | v110(constB3))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB3) | (~v111(constB3))))),
% 24.42/15.73 inference(monotonicity,[status(thm)],[690])).
% 24.42/15.73 tff(692,plain,
% 24.42/15.73 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB3)) | v110(constB3))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB3) | (~v111(constB3)))),
% 24.42/15.73 inference(transitivity,[status(thm)],[691, 689])).
% 24.42/15.73 tff(693,plain,
% 24.42/15.73 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB3)) | v110(constB3))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(694,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB3) | (~v111(constB3))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[693, 692])).
% 24.42/15.74 tff(695,plain,
% 24.42/15.74 (v110(constB3)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[694, 207, 688])).
% 24.42/15.74 tff(696,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB3) | (~v110(constB3)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB3) | (~v110(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(697,plain,
% 24.42/15.74 (((~v110(constB3)) | v109(constB3)) <=> (v109(constB3) | (~v110(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(698,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB3)) | v109(constB3))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB3) | (~v110(constB3))))),
% 24.42/15.74 inference(monotonicity,[status(thm)],[697])).
% 24.42/15.74 tff(699,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB3)) | v109(constB3))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB3) | (~v110(constB3)))),
% 24.42/15.74 inference(transitivity,[status(thm)],[698, 696])).
% 24.42/15.74 tff(700,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB3)) | v109(constB3))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(701,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB3) | (~v110(constB3))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[700, 699])).
% 24.42/15.74 tff(702,plain,
% 24.42/15.74 (v109(constB3)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[701, 221, 695])).
% 24.42/15.74 tff(703,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v109(constB3)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v109(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(704,plain,
% 24.42/15.74 (((~v109(constB3)) | v108(constB3)) <=> (v108(constB3) | (~v109(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(705,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB3) | (~v109(constB3))))),
% 24.42/15.74 inference(monotonicity,[status(thm)],[704])).
% 24.42/15.74 tff(706,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB3)) | v108(constB3))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v109(constB3)))),
% 24.42/15.74 inference(transitivity,[status(thm)],[705, 703])).
% 24.42/15.74 tff(707,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB3)) | v108(constB3))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(708,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB3) | (~v109(constB3))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[707, 706])).
% 24.42/15.74 tff(709,plain,
% 24.42/15.74 (v108(constB3)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[708, 235, 702])).
% 24.42/15.74 tff(710,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB3) | (~v108(constB3)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB3) | (~v108(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(711,plain,
% 24.42/15.74 (((~v108(constB3)) | v107(constB3)) <=> (v107(constB3) | (~v108(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(712,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB3)) | v107(constB3))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB3) | (~v108(constB3))))),
% 24.42/15.74 inference(monotonicity,[status(thm)],[711])).
% 24.42/15.74 tff(713,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB3)) | v107(constB3))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB3) | (~v108(constB3)))),
% 24.42/15.74 inference(transitivity,[status(thm)],[712, 710])).
% 24.42/15.74 tff(714,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB3)) | v107(constB3))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(715,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB3) | (~v108(constB3))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[714, 713])).
% 24.42/15.74 tff(716,plain,
% 24.42/15.74 (v107(constB3)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[715, 249, 709])).
% 24.42/15.74 tff(717,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | v106(constB3) | (~v107(constB3)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | v106(constB3) | (~v107(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(718,plain,
% 24.42/15.74 ((v26(constB3) | (~v107(constB3)) | v106(constB3)) <=> (v26(constB3) | v106(constB3) | (~v107(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(719,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | v106(constB3) | (~v107(constB3))))),
% 24.42/15.74 inference(monotonicity,[status(thm)],[718])).
% 24.42/15.74 tff(720,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | v106(constB3) | (~v107(constB3)))),
% 24.42/15.74 inference(transitivity,[status(thm)],[719, 717])).
% 24.42/15.74 tff(721,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB3) | (~v107(constB3)) | v106(constB3))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(722,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB3) | v106(constB3) | (~v107(constB3))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[721, 720])).
% 24.42/15.74 tff(723,plain,
% 24.42/15.74 (v26(constB3) | v106(constB3)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[722, 263, 716])).
% 24.42/15.74 tff(724,plain,
% 24.42/15.74 ($false),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[723, 667, 653])).
% 24.42/15.74 tff(725,plain,(v102(constB3)), inference(lemma,lemma(discharge,[]))).
% 24.42/15.74 tff(726,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(727,plain,
% 24.42/15.74 (((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4)) <=> ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(728,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3))))),
% 24.42/15.74 inference(monotonicity,[status(thm)],[727])).
% 24.42/15.74 tff(729,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3)))),
% 24.42/15.74 inference(transitivity,[status(thm)],[728, 726])).
% 24.42/15.74 tff(730,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB3, constB4)) | (~v102(constB3)) | v104(constB4))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(731,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB3, constB4)) | v104(constB4) | (~v102(constB3))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[730, 729])).
% 24.42/15.74 tff(732,plain,
% 24.42/15.74 (v104(constB4) | (~v102(constB3))),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[731, 295, 640])).
% 24.42/15.74 tff(733,plain,
% 24.42/15.74 (v104(constB4)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[732, 725])).
% 24.42/15.74 tff(734,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(735,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4)))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(736,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB3) | (~nextState(constB3, constB4)) | (~v98(constB4))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[735, 734])).
% 24.42/15.74 tff(737,plain,
% 24.42/15.74 (~v98(constB4)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[736, 313, 640, 431])).
% 24.42/15.74 tff(738,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(739,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB3, constB4)) | v96(constB4) | v98(constB4))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(740,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB3, constB4)) | v96(constB4) | v98(constB4)),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[739, 738])).
% 24.42/15.74 tff(741,plain,
% 24.42/15.74 (v96(constB4) | v98(constB4)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[740, 327, 640])).
% 24.42/15.74 tff(742,plain,
% 24.42/15.74 (v96(constB4)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[741, 737])).
% 24.42/15.74 tff(743,plain,
% 24.42/15.74 (v1(constB4) <=> v1(constB4)),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(744,axiom,(v1(constB4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_4_1')).
% 24.42/15.74 tff(745,plain,
% 24.42/15.74 (v1(constB4)),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[744, 743])).
% 24.42/15.74 tff(746,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(747,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4)))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(748,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB3, constB4)) | v95(constB4) | (~v96(constB4)) | (~v1(constB4))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[747, 746])).
% 24.42/15.74 tff(749,plain,
% 24.42/15.74 (v95(constB4) | (~v96(constB4))),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[748, 345, 640, 745])).
% 24.42/15.74 tff(750,plain,
% 24.42/15.74 (v95(constB4)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[749, 742])).
% 24.42/15.74 tff(751,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(752,plain,
% 24.42/15.74 (((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4)) <=> ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(753,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4))))),
% 24.42/15.74 inference(monotonicity,[status(thm)],[752])).
% 24.42/15.74 tff(754,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4)))),
% 24.42/15.74 inference(transitivity,[status(thm)],[753, 751])).
% 24.42/15.74 tff(755,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB3, constB4)) | (~v95(constB4)) | (~v104(constB4)) | v94(constB4))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(756,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB3, constB4)) | v94(constB4) | (~v95(constB4)) | (~v104(constB4))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[755, 754])).
% 24.42/15.74 tff(757,plain,
% 24.42/15.74 (v94(constB4) | (~v95(constB4)) | (~v104(constB4))),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[756, 360, 640])).
% 24.42/15.74 tff(758,plain,
% 24.42/15.74 (v94(constB4) | (~v104(constB4))),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[757, 750])).
% 24.42/15.74 tff(759,plain,
% 24.42/15.74 (v94(constB4)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[758, 733])).
% 24.42/15.74 tff(760,plain,
% 24.42/15.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(761,plain,
% 24.42/15.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4)))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(762,plain,
% 24.42/15.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2) | (~v94(constB4))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[761, 760])).
% 24.42/15.74 tff(763,plain,
% 24.42/15.74 ((~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[762, 423, 759])).
% 24.42/15.74 tff(764,plain,
% 24.42/15.74 (~v84(constB4, bitIndex2)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[763, 645])).
% 24.42/15.74 tff(765,plain,
% 24.42/15.74 ((~v1(constB5)) <=> (~v1(constB5))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(766,axiom,(~v1(constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_5_1_1')).
% 24.42/15.74 tff(767,plain,
% 24.42/15.74 (~v1(constB5)),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[766, 765])).
% 24.42/15.74 tff(768,plain,
% 24.42/15.74 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(769,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_4_1')).
% 24.42/15.74 tff(770,plain,
% 24.42/15.74 (nextState(constB4, constB5)),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[769, 768])).
% 24.42/15.74 tff(771,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(772,plain,
% 24.42/15.74 (((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5)) <=> (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(773,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5))))),
% 24.42/15.74 inference(monotonicity,[status(thm)],[772])).
% 24.42/15.74 tff(774,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5)))),
% 24.42/15.74 inference(transitivity,[status(thm)],[773, 771])).
% 24.42/15.74 tff(775,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB4, constB5)) | (~v95(constB5)) | v1(constB5))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(776,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB5) | (~nextState(constB4, constB5)) | (~v95(constB5))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[775, 774])).
% 24.42/15.74 tff(777,plain,
% 24.42/15.74 (~v95(constB5)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[776, 73, 770, 767])).
% 24.42/15.74 tff(778,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(779,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5)))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(780,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB4, constB5)) | v95(constB5) | (~v94(constB5))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[779, 778])).
% 24.42/15.74 tff(781,plain,
% 24.42/15.74 (v95(constB5) | (~v94(constB5))),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[780, 90, 770])).
% 24.42/15.74 tff(782,plain,
% 24.42/15.74 (~v94(constB5)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[781, 777])).
% 24.42/15.74 tff(783,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(784,plain,
% 24.42/15.74 (((~nextState(constB4, constB5)) | v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2))) <=> (v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(785,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2))))),
% 24.42/15.74 inference(monotonicity,[status(thm)],[784])).
% 24.42/15.74 tff(786,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2)))),
% 24.42/15.74 inference(transitivity,[status(thm)],[785, 783])).
% 24.42/15.74 tff(787,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2)))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(788,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB4, bitIndex2) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex2))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[787, 786])).
% 24.42/15.74 tff(789,plain,
% 24.42/15.74 (v84(constB4, bitIndex2) | v94(constB5) | (~v84(constB5, bitIndex2))),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[788, 105, 770])).
% 24.42/15.74 tff(790,plain,
% 24.42/15.74 (v84(constB4, bitIndex2) | (~v84(constB5, bitIndex2))),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[789, 782])).
% 24.42/15.74 tff(791,plain,
% 24.42/15.74 (~v84(constB5, bitIndex2)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[790, 764])).
% 24.42/15.74 tff(792,plain,
% 24.42/15.74 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 24.42/15.74 inference(bind,[status(th)],[])).
% 24.42/15.74 tff(793,plain,
% 24.42/15.74 (![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.74 inference(quant_intro,[status(thm)],[792])).
% 24.42/15.74 tff(794,plain,
% 24.42/15.74 (![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(795,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_2')).
% 24.42/15.74 tff(796,plain,
% 24.42/15.74 (![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[795, 794])).
% 24.42/15.74 tff(797,plain,(
% 24.42/15.74 ![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.74 inference(skolemize,[status(sab)],[796])).
% 24.42/15.74 tff(798,plain,
% 24.42/15.74 (![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[797, 793])).
% 24.42/15.74 tff(799,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB3)) | v124(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB3)) | v124(constB3, bitIndex1))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(800,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB3)) | v124(constB3, bitIndex1))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(801,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB3)) | v124(constB3, bitIndex1)),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[800, 799])).
% 24.42/15.74 tff(802,plain,
% 24.42/15.74 (v124(constB3, bitIndex1)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[801, 798, 618])).
% 24.42/15.74 tff(803,plain,
% 24.42/15.74 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)))),
% 24.42/15.74 inference(bind,[status(th)],[])).
% 24.42/15.74 tff(804,plain,
% 24.42/15.74 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 24.42/15.74 inference(quant_intro,[status(thm)],[803])).
% 24.42/15.74 tff(805,plain,
% 24.42/15.74 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(806,plain,
% 24.42/15.74 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v124(VarCurr, bitIndex1))) | v121(VarCurr, bitIndex1)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1)))),
% 24.42/15.74 inference(bind,[status(th)],[])).
% 24.42/15.74 tff(807,plain,
% 24.42/15.74 (![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex1))) | v121(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 24.42/15.74 inference(quant_intro,[status(thm)],[806])).
% 24.42/15.74 tff(808,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex1))) | v121(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_3')).
% 24.42/15.74 tff(809,plain,
% 24.42/15.74 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[808, 807])).
% 24.42/15.74 tff(810,plain,
% 24.42/15.74 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[809, 805])).
% 24.42/15.74 tff(811,plain,(
% 24.42/15.74 ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 24.42/15.74 inference(skolemize,[status(sab)],[810])).
% 24.42/15.74 tff(812,plain,
% 24.42/15.74 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[811, 804])).
% 24.42/15.74 tff(813,plain,
% 24.42/15.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(814,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(815,plain,
% 24.42/15.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB3) | (~v124(constB3, bitIndex1)) | v121(constB3, bitIndex1)),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[814, 813])).
% 24.42/15.74 tff(816,plain,
% 24.42/15.74 (v26(constB3) | v121(constB3, bitIndex1)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[815, 812, 802])).
% 24.42/15.74 tff(817,plain,
% 24.42/15.74 (v121(constB3, bitIndex1)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[816, 53])).
% 24.42/15.74 tff(818,plain,
% 24.42/15.74 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)))),
% 24.42/15.74 inference(bind,[status(th)],[])).
% 24.42/15.74 tff(819,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 24.42/15.74 inference(quant_intro,[status(thm)],[818])).
% 24.42/15.74 tff(820,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(821,plain,
% 24.42/15.74 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1))) | v123(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1)))),
% 24.42/15.74 inference(bind,[status(th)],[])).
% 24.42/15.74 tff(822,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1))) | v123(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 24.42/15.74 inference(quant_intro,[status(thm)],[821])).
% 24.42/15.74 tff(823,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1))) | v123(VarNext, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_3')).
% 24.42/15.74 tff(824,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[823, 822])).
% 24.42/15.74 tff(825,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[824, 820])).
% 24.42/15.74 tff(826,plain,(
% 24.42/15.74 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 24.42/15.74 inference(skolemize,[status(sab)],[825])).
% 24.42/15.74 tff(827,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[826, 819])).
% 24.42/15.74 tff(828,plain,
% 24.42/15.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(829,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(830,plain,
% 24.42/15.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB3, constB4)) | (~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1)),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[829, 828])).
% 24.42/15.74 tff(831,plain,
% 24.42/15.74 ((~v121(constB3, bitIndex1)) | v123(constB4, bitIndex1)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[830, 827, 640])).
% 24.42/15.74 tff(832,plain,
% 24.42/15.74 (v123(constB4, bitIndex1)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[831, 817])).
% 24.42/15.74 tff(833,plain,
% 24.42/15.74 (^[VarNext: state_type] : refl((v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))))),
% 24.42/15.74 inference(bind,[status(th)],[])).
% 24.42/15.74 tff(834,plain,
% 24.42/15.74 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 24.42/15.74 inference(quant_intro,[status(thm)],[833])).
% 24.42/15.74 tff(835,plain,
% 24.42/15.74 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(836,plain,
% 24.42/15.74 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v123(VarNext, bitIndex1))) | v84(VarNext, bitIndex1)) <=> (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1))))),
% 24.42/15.74 inference(bind,[status(th)],[])).
% 24.42/15.74 tff(837,plain,
% 24.42/15.74 (![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex1))) | v84(VarNext, bitIndex1)) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 24.42/15.74 inference(quant_intro,[status(thm)],[836])).
% 24.42/15.74 tff(838,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex1))) | v84(VarNext, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_3')).
% 24.42/15.74 tff(839,plain,
% 24.42/15.74 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[838, 837])).
% 24.42/15.74 tff(840,plain,
% 24.42/15.74 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[839, 835])).
% 24.42/15.74 tff(841,plain,(
% 24.42/15.74 ![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 24.42/15.74 inference(skolemize,[status(sab)],[840])).
% 24.42/15.74 tff(842,plain,
% 24.42/15.74 (![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[841, 834])).
% 24.42/15.74 tff(843,plain,
% 24.42/15.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(844,plain,
% 24.42/15.74 ((v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1))) <=> (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(845,plain,
% 24.42/15.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4))))),
% 24.42/15.74 inference(monotonicity,[status(thm)],[844])).
% 24.42/15.74 tff(846,plain,
% 24.42/15.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4)))),
% 24.42/15.74 inference(transitivity,[status(thm)],[845, 843])).
% 24.42/15.74 tff(847,plain,
% 24.42/15.74 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB4, bitIndex1) | (~v94(constB4)) | (~v123(constB4, bitIndex1)))),
% 24.42/15.74 inference(quant_inst,[status(thm)],[])).
% 24.42/15.74 tff(848,plain,
% 24.42/15.74 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1)) | (~v94(constB4))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[847, 846])).
% 24.42/15.74 tff(849,plain,
% 24.42/15.74 (v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1))),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[848, 842, 759])).
% 24.42/15.74 tff(850,plain,
% 24.42/15.74 (v84(constB4, bitIndex1)),
% 24.42/15.74 inference(unit_resolution,[status(thm)],[849, 832])).
% 24.42/15.74 tff(851,plain,
% 24.42/15.74 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)))),
% 24.42/15.74 inference(bind,[status(th)],[])).
% 24.42/15.74 tff(852,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 24.42/15.74 inference(quant_intro,[status(thm)],[851])).
% 24.42/15.74 tff(853,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 24.42/15.74 inference(rewrite,[status(thm)],[])).
% 24.42/15.74 tff(854,plain,
% 24.42/15.74 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) | v84(VarNext, bitIndex1)) <=> (((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext)) | v84(VarNext, bitIndex1)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext)) | v84(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) | v84(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))))),
% 24.42/15.74 inference(bind,[status(th)],[])).
% 24.42/15.74 tff(855,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) | v84(VarNext, bitIndex1)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 24.42/15.74 inference(quant_intro,[status(thm)],[854])).
% 24.42/15.74 tff(856,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex1))) | v84(VarNext, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_3')).
% 24.42/15.74 tff(857,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[856, 855])).
% 24.42/15.74 tff(858,plain,
% 24.42/15.74 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 24.42/15.74 inference(modus_ponens,[status(thm)],[857, 853])).
% 24.42/15.75 tff(859,plain,(
% 24.42/15.75 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 24.42/15.75 inference(skolemize,[status(sab)],[858])).
% 24.42/15.75 tff(860,plain,
% 24.42/15.75 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[859, 852])).
% 24.42/15.75 tff(861,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(862,plain,
% 24.42/15.75 (((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1)) <=> ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(863,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1)))),
% 24.42/15.75 inference(monotonicity,[status(thm)],[862])).
% 24.42/15.75 tff(864,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1))),
% 24.42/15.75 inference(transitivity,[status(thm)],[863, 861])).
% 24.42/15.75 tff(865,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB4, constB5)) | (~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(866,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB4, bitIndex1)) | (~nextState(constB4, constB5)) | v94(constB5) | v84(constB5, bitIndex1)),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[865, 864])).
% 24.42/15.75 tff(867,plain,
% 24.42/15.75 ((~v84(constB4, bitIndex1)) | v94(constB5) | v84(constB5, bitIndex1)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[866, 860, 770])).
% 24.42/15.75 tff(868,plain,
% 24.42/15.75 ((~v84(constB4, bitIndex1)) | v84(constB5, bitIndex1)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[867, 782])).
% 24.42/15.75 tff(869,plain,
% 24.42/15.75 (v84(constB5, bitIndex1)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[868, 850])).
% 24.42/15.75 tff(870,plain,
% 24.42/15.75 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(871,plain,
% 24.42/15.75 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[870])).
% 24.42/15.75 tff(872,plain,
% 24.42/15.75 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(873,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 24.42/15.75 tff(874,plain,
% 24.42/15.75 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[873, 872])).
% 24.42/15.75 tff(875,plain,(
% 24.42/15.75 ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(skolemize,[status(sab)],[874])).
% 24.42/15.75 tff(876,plain,
% 24.42/15.75 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[875, 871])).
% 24.42/15.75 tff(877,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB3)) | (~v124(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB3)) | (~v124(constB3, bitIndex0)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(878,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB3)) | (~v124(constB3, bitIndex0)))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(879,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB3)) | (~v124(constB3, bitIndex0))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[878, 877])).
% 24.42/15.75 tff(880,plain,
% 24.42/15.75 (~v124(constB3, bitIndex0)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[879, 876, 618])).
% 24.42/15.75 tff(881,plain,
% 24.42/15.75 (^[VarCurr: state_type] : refl((v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(882,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[881])).
% 24.42/15.75 tff(883,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(884,plain,
% 24.42/15.75 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v121(VarCurr, bitIndex0))) | v124(VarCurr, bitIndex0)) <=> (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0))))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(885,plain,
% 24.42/15.75 (![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex0))) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[884])).
% 24.42/15.75 tff(886,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v121(VarCurr, bitIndex0))) | v124(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 24.42/15.75 tff(887,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[886, 885])).
% 24.42/15.75 tff(888,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[887, 883])).
% 24.42/15.75 tff(889,plain,(
% 24.42/15.75 ![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(skolemize,[status(sab)],[888])).
% 24.42/15.75 tff(890,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[889, 882])).
% 24.42/15.75 tff(891,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(892,plain,
% 24.42/15.75 ((v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0))) <=> ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(893,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0)))),
% 24.42/15.75 inference(monotonicity,[status(thm)],[892])).
% 24.42/15.75 tff(894,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0))),
% 24.42/15.75 inference(transitivity,[status(thm)],[893, 891])).
% 24.42/15.75 tff(895,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB3) | v124(constB3, bitIndex0) | (~v121(constB3, bitIndex0)))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(896,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB3, bitIndex0)) | v26(constB3) | v124(constB3, bitIndex0)),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[895, 894])).
% 24.42/15.75 tff(897,plain,
% 24.42/15.75 ((~v121(constB3, bitIndex0)) | v26(constB3)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[896, 890, 880])).
% 24.42/15.75 tff(898,plain,
% 24.42/15.75 (~v121(constB3, bitIndex0)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[897, 53])).
% 24.42/15.75 tff(899,plain,
% 24.42/15.75 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(900,plain,
% 24.42/15.75 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[899])).
% 24.42/15.75 tff(901,plain,
% 24.42/15.75 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(902,plain,
% 24.42/15.75 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex0))) | v121(VarCurr, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0))))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(903,plain,
% 24.42/15.75 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex0))) | v121(VarCurr, bitIndex0)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[902])).
% 24.42/15.75 tff(904,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v123(VarNext, bitIndex0))) | v121(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 24.42/15.75 tff(905,plain,
% 24.42/15.75 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[904, 903])).
% 24.42/15.75 tff(906,plain,
% 24.42/15.75 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[905, 901])).
% 24.42/15.75 tff(907,plain,(
% 24.42/15.75 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 24.42/15.75 inference(skolemize,[status(sab)],[906])).
% 24.42/15.75 tff(908,plain,
% 24.42/15.75 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[907, 900])).
% 24.42/15.75 tff(909,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(910,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0)))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(911,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB3, constB4)) | v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[910, 909])).
% 24.42/15.75 tff(912,plain,
% 24.42/15.75 (v121(constB3, bitIndex0) | (~v123(constB4, bitIndex0))),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[911, 908, 640])).
% 24.42/15.75 tff(913,plain,
% 24.42/15.75 (~v123(constB4, bitIndex0)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[912, 898])).
% 24.42/15.75 tff(914,plain,
% 24.42/15.75 (^[VarNext: state_type] : refl(((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(915,plain,
% 24.42/15.75 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[914])).
% 24.42/15.75 tff(916,plain,
% 24.42/15.75 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(917,plain,
% 24.42/15.75 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v123(VarNext, bitIndex0)) <=> ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0)))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(918,plain,
% 24.42/15.75 (![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v123(VarNext, bitIndex0)) <=> ![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[917])).
% 24.42/15.75 tff(919,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v84(VarNext, bitIndex0))) | v123(VarNext, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_2')).
% 24.42/15.75 tff(920,plain,
% 24.42/15.75 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[919, 918])).
% 24.42/15.75 tff(921,plain,
% 24.42/15.75 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[920, 916])).
% 24.42/15.75 tff(922,plain,(
% 24.42/15.75 ![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 24.42/15.75 inference(skolemize,[status(sab)],[921])).
% 24.42/15.75 tff(923,plain,
% 24.42/15.75 (![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[922, 915])).
% 24.42/15.75 tff(924,plain,
% 24.42/15.75 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(925,plain,
% 24.42/15.75 (((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0)) <=> ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(926,plain,
% 24.42/15.75 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4))))),
% 24.42/15.75 inference(monotonicity,[status(thm)],[925])).
% 24.42/15.75 tff(927,plain,
% 24.42/15.75 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4)))),
% 24.42/15.75 inference(transitivity,[status(thm)],[926, 924])).
% 24.42/15.75 tff(928,plain,
% 24.42/15.75 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB4, bitIndex0)) | (~v94(constB4)) | v123(constB4, bitIndex0))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(929,plain,
% 24.42/15.75 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0) | (~v94(constB4))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[928, 927])).
% 24.42/15.75 tff(930,plain,
% 24.42/15.75 ((~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[929, 923, 759])).
% 24.42/15.75 tff(931,plain,
% 24.42/15.75 (~v84(constB4, bitIndex0)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[930, 913])).
% 24.42/15.75 tff(932,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(933,plain,
% 24.42/15.75 (((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0))) <=> (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(934,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0))))),
% 24.42/15.75 inference(monotonicity,[status(thm)],[933])).
% 24.42/15.75 tff(935,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 24.42/15.75 inference(transitivity,[status(thm)],[934, 932])).
% 24.42/15.75 tff(936,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB4, constB5)) | v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0)))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(937,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB4, bitIndex0) | (~nextState(constB4, constB5)) | v94(constB5) | (~v84(constB5, bitIndex0))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[936, 935])).
% 24.42/15.75 tff(938,plain,
% 24.42/15.75 (v84(constB4, bitIndex0) | v94(constB5) | (~v84(constB5, bitIndex0))),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[937, 147, 770])).
% 24.42/15.75 tff(939,plain,
% 24.42/15.75 (v84(constB4, bitIndex0) | (~v84(constB5, bitIndex0))),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[938, 782])).
% 24.42/15.75 tff(940,plain,
% 24.42/15.75 (~v84(constB5, bitIndex0)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[939, 931])).
% 24.42/15.75 tff(941,plain,
% 24.42/15.75 (^[VarCurr: state_type] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(942,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[941])).
% 24.42/15.75 tff(943,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(944,plain,
% 24.42/15.75 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) | v115(VarCurr)) <=> ((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v115(VarCurr)))), rewrite(((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v115(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) | v115(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(945,plain,
% 24.42/15.75 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) | v115(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[944])).
% 24.42/15.75 tff(946,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) | v115(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 24.42/15.75 tff(947,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[946, 945])).
% 24.42/15.75 tff(948,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[947, 943])).
% 24.42/15.75 tff(949,plain,(
% 24.42/15.75 ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 24.42/15.75 inference(skolemize,[status(sab)],[948])).
% 24.42/15.75 tff(950,plain,
% 24.42/15.75 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[949, 942])).
% 24.42/15.75 tff(951,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex2) | v115(constB5))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex2) | v115(constB5))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(952,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex2) | v115(constB5))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(953,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB5, bitIndex0) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex2) | v115(constB5)),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[952, 951])).
% 24.42/15.75 tff(954,plain,
% 24.42/15.75 (v115(constB5)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[953, 950, 940, 869, 791])).
% 24.42/15.75 tff(955,plain,
% 24.42/15.75 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v111(VarCurr)) <=> ((~v115(VarCurr)) | v111(VarCurr)))),
% 24.42/15.75 inference(bind,[status(th)],[])).
% 24.42/15.75 tff(956,plain,
% 24.42/15.75 (![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 24.42/15.75 inference(quant_intro,[status(thm)],[955])).
% 24.42/15.75 tff(957,plain,
% 24.42/15.75 (![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(958,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_1')).
% 24.42/15.75 tff(959,plain,
% 24.42/15.75 (![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[958, 957])).
% 24.42/15.75 tff(960,plain,(
% 24.42/15.75 ![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 24.42/15.75 inference(skolemize,[status(sab)],[959])).
% 24.42/15.75 tff(961,plain,
% 24.42/15.75 (![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[960, 956])).
% 24.42/15.75 tff(962,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB5) | (~v115(constB5)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB5) | (~v115(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(963,plain,
% 24.42/15.75 (((~v115(constB5)) | v111(constB5)) <=> (v111(constB5) | (~v115(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(964,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB5)) | v111(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB5) | (~v115(constB5))))),
% 24.42/15.75 inference(monotonicity,[status(thm)],[963])).
% 24.42/15.75 tff(965,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB5)) | v111(constB5))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB5) | (~v115(constB5)))),
% 24.42/15.75 inference(transitivity,[status(thm)],[964, 962])).
% 24.42/15.75 tff(966,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB5)) | v111(constB5))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(967,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB5) | (~v115(constB5))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[966, 965])).
% 24.42/15.75 tff(968,plain,
% 24.42/15.75 (v111(constB5)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[967, 961, 954])).
% 24.42/15.75 tff(969,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB5) | (~v111(constB5)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB5) | (~v111(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(970,plain,
% 24.42/15.75 (((~v111(constB5)) | v110(constB5)) <=> (v110(constB5) | (~v111(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(971,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB5)) | v110(constB5))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB5) | (~v111(constB5))))),
% 24.42/15.75 inference(monotonicity,[status(thm)],[970])).
% 24.42/15.75 tff(972,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB5)) | v110(constB5))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB5) | (~v111(constB5)))),
% 24.42/15.75 inference(transitivity,[status(thm)],[971, 969])).
% 24.42/15.75 tff(973,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB5)) | v110(constB5))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(974,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB5) | (~v111(constB5))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[973, 972])).
% 24.42/15.75 tff(975,plain,
% 24.42/15.75 (v110(constB5)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[974, 207, 968])).
% 24.42/15.75 tff(976,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB5) | (~v110(constB5)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB5) | (~v110(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(977,plain,
% 24.42/15.75 (((~v110(constB5)) | v109(constB5)) <=> (v109(constB5) | (~v110(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(978,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB5)) | v109(constB5))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB5) | (~v110(constB5))))),
% 24.42/15.75 inference(monotonicity,[status(thm)],[977])).
% 24.42/15.75 tff(979,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB5)) | v109(constB5))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB5) | (~v110(constB5)))),
% 24.42/15.75 inference(transitivity,[status(thm)],[978, 976])).
% 24.42/15.75 tff(980,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB5)) | v109(constB5))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(981,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB5) | (~v110(constB5))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[980, 979])).
% 24.42/15.75 tff(982,plain,
% 24.42/15.75 (v109(constB5)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[981, 221, 975])).
% 24.42/15.75 tff(983,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB5)) | v108(constB5))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB5)) | v108(constB5))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(984,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB5)) | v108(constB5))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(985,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB5)) | v108(constB5)),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[984, 983])).
% 24.42/15.75 tff(986,plain,
% 24.42/15.75 (v108(constB5)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[985, 235, 982])).
% 24.42/15.75 tff(987,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB5)) | v107(constB5))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB5)) | v107(constB5))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(988,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB5)) | v107(constB5))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(989,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB5)) | v107(constB5)),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[988, 987])).
% 24.42/15.75 tff(990,plain,
% 24.42/15.75 (v107(constB5)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[989, 249, 986])).
% 24.42/15.75 tff(991,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB5) | (~v107(constB5)) | v106(constB5))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB5) | (~v107(constB5)) | v106(constB5))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(992,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB5) | (~v107(constB5)) | v106(constB5))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(993,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB5) | (~v107(constB5)) | v106(constB5)),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[992, 991])).
% 24.42/15.75 tff(994,plain,
% 24.42/15.75 (v26(constB5) | v106(constB5)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[993, 263, 990])).
% 24.42/15.75 tff(995,plain,
% 24.42/15.75 (v106(constB5)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[994, 49])).
% 24.42/15.75 tff(996,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB5) | (~v106(constB5)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB5) | (~v106(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(997,plain,
% 24.42/15.75 (((~v106(constB5)) | v102(constB5)) <=> (v102(constB5) | (~v106(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(998,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB5)) | v102(constB5))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB5) | (~v106(constB5))))),
% 24.42/15.75 inference(monotonicity,[status(thm)],[997])).
% 24.42/15.75 tff(999,plain,
% 24.42/15.75 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB5)) | v102(constB5))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB5) | (~v106(constB5)))),
% 24.42/15.75 inference(transitivity,[status(thm)],[998, 996])).
% 24.42/15.75 tff(1000,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB5)) | v102(constB5))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(1001,plain,
% 24.42/15.75 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB5) | (~v106(constB5))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[1000, 999])).
% 24.42/15.75 tff(1002,plain,
% 24.42/15.75 (v102(constB5)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[1001, 275, 995])).
% 24.42/15.75 tff(1003,plain,
% 24.42/15.75 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(1004,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_5_1')).
% 24.42/15.75 tff(1005,plain,
% 24.42/15.75 (nextState(constB5, constB6)),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[1004, 1003])).
% 24.42/15.75 tff(1006,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(1007,plain,
% 24.42/15.75 (((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6)) <=> ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(1008,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5))))),
% 24.42/15.75 inference(monotonicity,[status(thm)],[1007])).
% 24.42/15.75 tff(1009,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5)))),
% 24.42/15.75 inference(transitivity,[status(thm)],[1008, 1006])).
% 24.42/15.75 tff(1010,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB5, constB6)) | (~v102(constB5)) | v104(constB6))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(1011,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB5, constB6)) | v104(constB6) | (~v102(constB5))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 24.42/15.75 tff(1012,plain,
% 24.42/15.75 (v104(constB6) | (~v102(constB5))),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[1011, 295, 1005])).
% 24.42/15.75 tff(1013,plain,
% 24.42/15.75 (v104(constB6)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[1012, 1002])).
% 24.42/15.75 tff(1014,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(1015,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6)))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(1016,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB5) | (~nextState(constB5, constB6)) | (~v98(constB6))),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[1015, 1014])).
% 24.42/15.75 tff(1017,plain,
% 24.42/15.75 (~v98(constB6)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[1016, 313, 1005, 767])).
% 24.42/15.75 tff(1018,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(1019,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB5, constB6)) | v96(constB6) | v98(constB6))),
% 24.42/15.75 inference(quant_inst,[status(thm)],[])).
% 24.42/15.75 tff(1020,plain,
% 24.42/15.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB5, constB6)) | v96(constB6) | v98(constB6)),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[1019, 1018])).
% 24.42/15.75 tff(1021,plain,
% 24.42/15.75 (v96(constB6) | v98(constB6)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[1020, 327, 1005])).
% 24.42/15.75 tff(1022,plain,
% 24.42/15.75 (v96(constB6)),
% 24.42/15.75 inference(unit_resolution,[status(thm)],[1021, 1017])).
% 24.42/15.75 tff(1023,plain,
% 24.42/15.75 (v1(constB6) <=> v1(constB6)),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.75 tff(1024,axiom,(v1(constB6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_6_1')).
% 24.42/15.75 tff(1025,plain,
% 24.42/15.75 (v1(constB6)),
% 24.42/15.75 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 24.42/15.75 tff(1026,plain,
% 24.42/15.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))),
% 24.42/15.75 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1027,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6)))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1028,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB5, constB6)) | v95(constB6) | (~v96(constB6)) | (~v1(constB6))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1027, 1026])).
% 24.42/15.76 tff(1029,plain,
% 24.42/15.76 (v95(constB6) | (~v96(constB6))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1028, 345, 1005, 1025])).
% 24.42/15.76 tff(1030,plain,
% 24.42/15.76 (v95(constB6)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1029, 1022])).
% 24.42/15.76 tff(1031,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1032,plain,
% 24.42/15.76 (((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6)) <=> ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1033,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6))))),
% 24.42/15.76 inference(monotonicity,[status(thm)],[1032])).
% 24.42/15.76 tff(1034,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6)))),
% 24.42/15.76 inference(transitivity,[status(thm)],[1033, 1031])).
% 24.42/15.76 tff(1035,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB5, constB6)) | (~v95(constB6)) | (~v104(constB6)) | v94(constB6))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1036,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB5, constB6)) | v94(constB6) | (~v95(constB6)) | (~v104(constB6))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1035, 1034])).
% 24.42/15.76 tff(1037,plain,
% 24.42/15.76 (v94(constB6) | (~v95(constB6)) | (~v104(constB6))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1036, 360, 1005])).
% 24.42/15.76 tff(1038,plain,
% 24.42/15.76 (v94(constB6) | (~v104(constB6))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1037, 1030])).
% 24.42/15.76 tff(1039,plain,
% 24.42/15.76 (v94(constB6)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1038, 1013])).
% 24.42/15.76 tff(1040,plain,
% 24.42/15.76 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))))),
% 24.42/15.76 inference(bind,[status(th)],[])).
% 24.42/15.76 tff(1041,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.76 inference(quant_intro,[status(thm)],[1040])).
% 24.42/15.76 tff(1042,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1043,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_3')).
% 24.42/15.76 tff(1044,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1043, 1042])).
% 24.42/15.76 tff(1045,plain,(
% 24.42/15.76 ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.76 inference(skolemize,[status(sab)],[1044])).
% 24.42/15.76 tff(1046,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1045, 1041])).
% 24.42/15.76 tff(1047,plain,
% 24.42/15.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB5)) | (~v124(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB5)) | (~v124(constB5, bitIndex2)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1048,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB5)) | (~v124(constB5, bitIndex2)))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1049,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB5)) | (~v124(constB5, bitIndex2))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 24.42/15.76 tff(1050,plain,
% 24.42/15.76 (~v124(constB5, bitIndex2)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1049, 1046, 954])).
% 24.42/15.76 tff(1051,plain,
% 24.42/15.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1052,plain,
% 24.42/15.76 ((v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2))) <=> ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1053,plain,
% 24.42/15.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2)))),
% 24.42/15.76 inference(monotonicity,[status(thm)],[1052])).
% 24.42/15.76 tff(1054,plain,
% 24.42/15.76 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2))),
% 24.42/15.76 inference(transitivity,[status(thm)],[1053, 1051])).
% 24.42/15.76 tff(1055,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB5) | v124(constB5, bitIndex2) | (~v121(constB5, bitIndex2)))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1056,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB5, bitIndex2)) | v26(constB5) | v124(constB5, bitIndex2)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 24.42/15.76 tff(1057,plain,
% 24.42/15.76 ((~v121(constB5, bitIndex2)) | v26(constB5)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1056, 390, 1050])).
% 24.42/15.76 tff(1058,plain,
% 24.42/15.76 (~v121(constB5, bitIndex2)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1057, 49])).
% 24.42/15.76 tff(1059,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1060,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2)))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1061,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB5, constB6)) | v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1060, 1059])).
% 24.42/15.76 tff(1062,plain,
% 24.42/15.76 (v121(constB5, bitIndex2) | (~v123(constB6, bitIndex2))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1061, 408, 1005])).
% 24.42/15.76 tff(1063,plain,
% 24.42/15.76 (~v123(constB6, bitIndex2)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1062, 1058])).
% 24.42/15.76 tff(1064,plain,
% 24.42/15.76 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1065,plain,
% 24.42/15.76 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6)))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1066,plain,
% 24.42/15.76 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2) | (~v94(constB6))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 24.42/15.76 tff(1067,plain,
% 24.42/15.76 ((~v84(constB6, bitIndex2)) | (~v94(constB6))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1066, 423, 1063])).
% 24.42/15.76 tff(1068,plain,
% 24.42/15.76 (~v84(constB6, bitIndex2)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1067, 1039])).
% 24.42/15.76 tff(1069,plain,
% 24.42/15.76 ((~v1(constB7)) <=> (~v1(constB7))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1070,axiom,(~v1(constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_7_1_1')).
% 24.42/15.76 tff(1071,plain,
% 24.42/15.76 (~v1(constB7)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 24.42/15.76 tff(1072,plain,
% 24.42/15.76 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1073,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_6_1')).
% 24.42/15.76 tff(1074,plain,
% 24.42/15.76 (nextState(constB6, constB7)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1073, 1072])).
% 24.42/15.76 tff(1075,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1076,plain,
% 24.42/15.76 (((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7)) <=> (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1077,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7))))),
% 24.42/15.76 inference(monotonicity,[status(thm)],[1076])).
% 24.42/15.76 tff(1078,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7)))),
% 24.42/15.76 inference(transitivity,[status(thm)],[1077, 1075])).
% 24.42/15.76 tff(1079,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB6, constB7)) | (~v95(constB7)) | v1(constB7))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1080,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB7) | (~nextState(constB6, constB7)) | (~v95(constB7))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 24.42/15.76 tff(1081,plain,
% 24.42/15.76 (~v95(constB7)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1080, 73, 1074, 1071])).
% 24.42/15.76 tff(1082,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1083,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7)))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1084,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB6, constB7)) | v95(constB7) | (~v94(constB7))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 24.42/15.76 tff(1085,plain,
% 24.42/15.76 (v95(constB7) | (~v94(constB7))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1084, 90, 1074])).
% 24.42/15.76 tff(1086,plain,
% 24.42/15.76 (~v94(constB7)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1085, 1081])).
% 24.42/15.76 tff(1087,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1088,plain,
% 24.42/15.76 (((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2))) <=> (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1089,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2))))),
% 24.42/15.76 inference(monotonicity,[status(thm)],[1088])).
% 24.42/15.76 tff(1090,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 24.42/15.76 inference(transitivity,[status(thm)],[1089, 1087])).
% 24.42/15.76 tff(1091,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB6, constB7)) | v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2)))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1092,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB6, bitIndex2) | (~nextState(constB6, constB7)) | v94(constB7) | (~v84(constB7, bitIndex2))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 24.42/15.76 tff(1093,plain,
% 24.42/15.76 (v84(constB6, bitIndex2) | v94(constB7) | (~v84(constB7, bitIndex2))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1092, 105, 1074])).
% 24.42/15.76 tff(1094,plain,
% 24.42/15.76 (v84(constB6, bitIndex2) | (~v84(constB7, bitIndex2))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1093, 1086])).
% 24.42/15.76 tff(1095,plain,
% 24.42/15.76 (~v84(constB7, bitIndex2)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1094, 1068])).
% 24.42/15.76 tff(1096,plain,
% 24.42/15.76 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 24.42/15.76 inference(bind,[status(th)],[])).
% 24.42/15.76 tff(1097,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.76 inference(quant_intro,[status(thm)],[1096])).
% 24.42/15.76 tff(1098,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1099,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_2')).
% 24.42/15.76 tff(1100,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 24.42/15.76 tff(1101,plain,(
% 24.42/15.76 ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.76 inference(skolemize,[status(sab)],[1100])).
% 24.42/15.76 tff(1102,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1101, 1097])).
% 24.42/15.76 tff(1103,plain,
% 24.42/15.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB5)) | v124(constB5, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB5)) | v124(constB5, bitIndex1))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1104,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB5)) | v124(constB5, bitIndex1))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1105,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB5)) | v124(constB5, bitIndex1)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1104, 1103])).
% 24.42/15.76 tff(1106,plain,
% 24.42/15.76 (v124(constB5, bitIndex1)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1105, 1102, 954])).
% 24.42/15.76 tff(1107,plain,
% 24.42/15.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB5) | (~v124(constB5, bitIndex1)) | v121(constB5, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB5) | (~v124(constB5, bitIndex1)) | v121(constB5, bitIndex1))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1108,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB5) | (~v124(constB5, bitIndex1)) | v121(constB5, bitIndex1))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1109,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB5) | (~v124(constB5, bitIndex1)) | v121(constB5, bitIndex1)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1108, 1107])).
% 24.42/15.76 tff(1110,plain,
% 24.42/15.76 (v26(constB5) | v121(constB5, bitIndex1)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1109, 812, 1106])).
% 24.42/15.76 tff(1111,plain,
% 24.42/15.76 (v121(constB5, bitIndex1)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1110, 49])).
% 24.42/15.76 tff(1112,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1113,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1114,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1113, 1112])).
% 24.42/15.76 tff(1115,plain,
% 24.42/15.76 ((~v121(constB5, bitIndex1)) | v123(constB6, bitIndex1)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1114, 827, 1005])).
% 24.42/15.76 tff(1116,plain,
% 24.42/15.76 (v123(constB6, bitIndex1)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1115, 1111])).
% 24.42/15.76 tff(1117,plain,
% 24.42/15.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1118,plain,
% 24.42/15.76 ((v84(constB6, bitIndex1) | (~v94(constB6)) | (~v123(constB6, bitIndex1))) <=> (v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1119,plain,
% 24.42/15.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v94(constB6)) | (~v123(constB6, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6))))),
% 24.42/15.76 inference(monotonicity,[status(thm)],[1118])).
% 24.42/15.76 tff(1120,plain,
% 24.42/15.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v94(constB6)) | (~v123(constB6, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6)))),
% 24.42/15.76 inference(transitivity,[status(thm)],[1119, 1117])).
% 24.42/15.76 tff(1121,plain,
% 24.42/15.76 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB6, bitIndex1) | (~v94(constB6)) | (~v123(constB6, bitIndex1)))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1122,plain,
% 24.42/15.76 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1)) | (~v94(constB6))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 24.42/15.76 tff(1123,plain,
% 24.42/15.76 (v84(constB6, bitIndex1) | (~v94(constB6))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1122, 842, 1116])).
% 24.42/15.76 tff(1124,plain,
% 24.42/15.76 (v84(constB6, bitIndex1)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1123, 1039])).
% 24.42/15.76 tff(1125,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1126,plain,
% 24.42/15.76 (((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1)) <=> ((~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1127,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1)))),
% 24.42/15.76 inference(monotonicity,[status(thm)],[1126])).
% 24.42/15.76 tff(1128,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1))),
% 24.42/15.76 inference(transitivity,[status(thm)],[1127, 1125])).
% 24.42/15.76 tff(1129,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1130,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB6, bitIndex1)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex1)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 24.42/15.76 tff(1131,plain,
% 24.42/15.76 ((~v84(constB6, bitIndex1)) | v94(constB7) | v84(constB7, bitIndex1)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1130, 860, 1074])).
% 24.42/15.76 tff(1132,plain,
% 24.42/15.76 ((~v84(constB6, bitIndex1)) | v84(constB7, bitIndex1)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1131, 1086])).
% 24.42/15.76 tff(1133,plain,
% 24.42/15.76 (v84(constB7, bitIndex1)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1132, 1124])).
% 24.42/15.76 tff(1134,plain,
% 24.42/15.76 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 24.42/15.76 inference(bind,[status(th)],[])).
% 24.42/15.76 tff(1135,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.76 inference(quant_intro,[status(thm)],[1134])).
% 24.42/15.76 tff(1136,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1137,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1')).
% 24.42/15.76 tff(1138,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 24.42/15.76 tff(1139,plain,(
% 24.42/15.76 ![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.76 inference(skolemize,[status(sab)],[1138])).
% 24.42/15.76 tff(1140,plain,
% 24.42/15.76 (![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1139, 1135])).
% 24.42/15.76 tff(1141,plain,
% 24.42/15.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB5)) | v124(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB5)) | v124(constB5, bitIndex0))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1142,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB5)) | v124(constB5, bitIndex0))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1143,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB5)) | v124(constB5, bitIndex0)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 24.42/15.76 tff(1144,plain,
% 24.42/15.76 (v124(constB5, bitIndex0)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1143, 1140, 954])).
% 24.42/15.76 tff(1145,plain,
% 24.42/15.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1146,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1147,plain,
% 24.42/15.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB5) | (~v124(constB5, bitIndex0)) | v121(constB5, bitIndex0)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1146, 1145])).
% 24.42/15.76 tff(1148,plain,
% 24.42/15.76 (v26(constB5) | v121(constB5, bitIndex0)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1147, 547, 1144])).
% 24.42/15.76 tff(1149,plain,
% 24.42/15.76 (v121(constB5, bitIndex0)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1148, 49])).
% 24.42/15.76 tff(1150,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1151,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1152,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB5, constB6)) | (~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0)),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 24.42/15.76 tff(1153,plain,
% 24.42/15.76 ((~v121(constB5, bitIndex0)) | v123(constB6, bitIndex0)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1152, 562, 1005])).
% 24.42/15.76 tff(1154,plain,
% 24.42/15.76 (v123(constB6, bitIndex0)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1153, 1149])).
% 24.42/15.76 tff(1155,plain,
% 24.42/15.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1156,plain,
% 24.42/15.76 ((v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0))) <=> (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1157,plain,
% 24.42/15.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6))))),
% 24.42/15.76 inference(monotonicity,[status(thm)],[1156])).
% 24.42/15.76 tff(1158,plain,
% 24.42/15.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6)))),
% 24.42/15.76 inference(transitivity,[status(thm)],[1157, 1155])).
% 24.42/15.76 tff(1159,plain,
% 24.42/15.76 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB6, bitIndex0) | (~v94(constB6)) | (~v123(constB6, bitIndex0)))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1160,plain,
% 24.42/15.76 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0)) | (~v94(constB6))),
% 24.42/15.76 inference(modus_ponens,[status(thm)],[1159, 1158])).
% 24.42/15.76 tff(1161,plain,
% 24.42/15.76 (v84(constB6, bitIndex0) | (~v94(constB6))),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1160, 577, 1154])).
% 24.42/15.76 tff(1162,plain,
% 24.42/15.76 (v84(constB6, bitIndex0)),
% 24.42/15.76 inference(unit_resolution,[status(thm)],[1161, 1039])).
% 24.42/15.76 tff(1163,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1164,plain,
% 24.42/15.76 (((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0)) <=> ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 24.42/15.76 inference(rewrite,[status(thm)],[])).
% 24.42/15.76 tff(1165,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0)))),
% 24.42/15.76 inference(monotonicity,[status(thm)],[1164])).
% 24.42/15.76 tff(1166,plain,
% 24.42/15.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0))),
% 24.42/15.76 inference(transitivity,[status(thm)],[1165, 1163])).
% 24.42/15.76 tff(1167,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB6, constB7)) | (~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0))),
% 24.42/15.76 inference(quant_inst,[status(thm)],[])).
% 24.42/15.76 tff(1168,plain,
% 24.42/15.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB6, bitIndex0)) | (~nextState(constB6, constB7)) | v94(constB7) | v84(constB7, bitIndex0)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1167, 1166])).
% 24.42/15.77 tff(1169,plain,
% 24.42/15.77 ((~v84(constB6, bitIndex0)) | v94(constB7) | v84(constB7, bitIndex0)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1168, 595, 1074])).
% 24.42/15.77 tff(1170,plain,
% 24.42/15.77 ((~v84(constB6, bitIndex0)) | v84(constB7, bitIndex0)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1169, 1086])).
% 24.42/15.77 tff(1171,plain,
% 24.42/15.77 (v84(constB7, bitIndex0)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1170, 1162])).
% 24.42/15.77 tff(1172,plain,
% 24.42/15.77 (^[VarCurr: state_type] : refl(((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1173,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1172])).
% 24.42/15.77 tff(1174,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1175,plain,
% 24.42/15.77 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2))), (((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2)) | (~v84(VarCurr, bitIndex1))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2))), (((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)))), ((((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) | v116(VarCurr)) <=> (((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v116(VarCurr)))), rewrite((((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2)) | v116(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))), ((((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) | v116(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1176,plain,
% 24.42/15.77 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) | v116(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1175])).
% 24.42/15.77 tff(1177,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex1))) | v116(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 24.42/15.77 tff(1178,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 24.42/15.77 tff(1179,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1178, 1174])).
% 24.42/15.77 tff(1180,plain,(
% 24.42/15.77 ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 24.42/15.77 inference(skolemize,[status(sab)],[1179])).
% 24.42/15.77 tff(1181,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1180, 1173])).
% 24.42/15.77 tff(1182,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB7, bitIndex0)) | (~v84(constB7, bitIndex1)) | v84(constB7, bitIndex2) | v116(constB7))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB7, bitIndex0)) | (~v84(constB7, bitIndex1)) | v84(constB7, bitIndex2) | v116(constB7))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1183,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB7, bitIndex0)) | (~v84(constB7, bitIndex1)) | v84(constB7, bitIndex2) | v116(constB7))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1184,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB7, bitIndex0)) | (~v84(constB7, bitIndex1)) | v84(constB7, bitIndex2) | v116(constB7)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1183, 1182])).
% 24.42/15.77 tff(1185,plain,
% 24.42/15.77 (v116(constB7)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1184, 1181, 1171, 1133, 1095])).
% 24.42/15.77 tff(1186,plain,
% 24.42/15.77 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v110(VarCurr)) <=> ((~v116(VarCurr)) | v110(VarCurr)))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1187,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1186])).
% 24.42/15.77 tff(1188,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1189,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_1')).
% 24.42/15.77 tff(1190,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 24.42/15.77 tff(1191,plain,(
% 24.42/15.77 ![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 24.42/15.77 inference(skolemize,[status(sab)],[1190])).
% 24.42/15.77 tff(1192,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1191, 1187])).
% 24.42/15.77 tff(1193,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB7) | (~v116(constB7)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB7) | (~v116(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1194,plain,
% 24.42/15.77 (((~v116(constB7)) | v110(constB7)) <=> (v110(constB7) | (~v116(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1195,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB7)) | v110(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB7) | (~v116(constB7))))),
% 24.42/15.77 inference(monotonicity,[status(thm)],[1194])).
% 24.42/15.77 tff(1196,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB7)) | v110(constB7))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB7) | (~v116(constB7)))),
% 24.42/15.77 inference(transitivity,[status(thm)],[1195, 1193])).
% 24.42/15.77 tff(1197,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB7)) | v110(constB7))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1198,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB7) | (~v116(constB7))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1197, 1196])).
% 24.42/15.77 tff(1199,plain,
% 24.42/15.77 (v110(constB7)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1198, 1192, 1185])).
% 24.42/15.77 tff(1200,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB7) | (~v110(constB7)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB7) | (~v110(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1201,plain,
% 24.42/15.77 (((~v110(constB7)) | v109(constB7)) <=> (v109(constB7) | (~v110(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1202,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB7)) | v109(constB7))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB7) | (~v110(constB7))))),
% 24.42/15.77 inference(monotonicity,[status(thm)],[1201])).
% 24.42/15.77 tff(1203,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB7)) | v109(constB7))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB7) | (~v110(constB7)))),
% 24.42/15.77 inference(transitivity,[status(thm)],[1202, 1200])).
% 24.42/15.77 tff(1204,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB7)) | v109(constB7))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1205,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB7) | (~v110(constB7))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1204, 1203])).
% 24.42/15.77 tff(1206,plain,
% 24.42/15.77 (v109(constB7)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1205, 221, 1199])).
% 24.42/15.77 tff(1207,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB7)) | v108(constB7))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB7)) | v108(constB7))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1208,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB7)) | v108(constB7))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1209,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB7)) | v108(constB7)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1208, 1207])).
% 24.42/15.77 tff(1210,plain,
% 24.42/15.77 (v108(constB7)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1209, 235, 1206])).
% 24.42/15.77 tff(1211,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB7) | (~v108(constB7)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB7) | (~v108(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1212,plain,
% 24.42/15.77 (((~v108(constB7)) | v107(constB7)) <=> (v107(constB7) | (~v108(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1213,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB7)) | v107(constB7))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB7) | (~v108(constB7))))),
% 24.42/15.77 inference(monotonicity,[status(thm)],[1212])).
% 24.42/15.77 tff(1214,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB7)) | v107(constB7))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB7) | (~v108(constB7)))),
% 24.42/15.77 inference(transitivity,[status(thm)],[1213, 1211])).
% 24.42/15.77 tff(1215,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB7)) | v107(constB7))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1216,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB7) | (~v108(constB7))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 24.42/15.77 tff(1217,plain,
% 24.42/15.77 (v107(constB7)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1216, 249, 1210])).
% 24.42/15.77 tff(1218,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB7) | (~v107(constB7)) | v106(constB7))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB7) | (~v107(constB7)) | v106(constB7))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1219,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB7) | (~v107(constB7)) | v106(constB7))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1220,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB7) | (~v107(constB7)) | v106(constB7)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1219, 1218])).
% 24.42/15.77 tff(1221,plain,
% 24.42/15.77 (v26(constB7) | v106(constB7)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1220, 263, 1217])).
% 24.42/15.77 tff(1222,plain,
% 24.42/15.77 (v106(constB7)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1221, 45])).
% 24.42/15.77 tff(1223,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB7) | (~v106(constB7)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB7) | (~v106(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1224,plain,
% 24.42/15.77 (((~v106(constB7)) | v102(constB7)) <=> (v102(constB7) | (~v106(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1225,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB7)) | v102(constB7))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB7) | (~v106(constB7))))),
% 24.42/15.77 inference(monotonicity,[status(thm)],[1224])).
% 24.42/15.77 tff(1226,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB7)) | v102(constB7))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB7) | (~v106(constB7)))),
% 24.42/15.77 inference(transitivity,[status(thm)],[1225, 1223])).
% 24.42/15.77 tff(1227,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB7)) | v102(constB7))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1228,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB7) | (~v106(constB7))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 24.42/15.77 tff(1229,plain,
% 24.42/15.77 (v102(constB7)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1228, 275, 1222])).
% 24.42/15.77 tff(1230,plain,
% 24.42/15.77 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1231,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_7_1')).
% 24.42/15.77 tff(1232,plain,
% 24.42/15.77 (nextState(constB7, constB8)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 24.42/15.77 tff(1233,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1234,plain,
% 24.42/15.77 (((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8)) <=> ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1235,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7))))),
% 24.42/15.77 inference(monotonicity,[status(thm)],[1234])).
% 24.42/15.77 tff(1236,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7)))),
% 24.42/15.77 inference(transitivity,[status(thm)],[1235, 1233])).
% 24.42/15.77 tff(1237,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB7, constB8)) | (~v102(constB7)) | v104(constB8))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1238,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB7, constB8)) | v104(constB8) | (~v102(constB7))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 24.42/15.77 tff(1239,plain,
% 24.42/15.77 (v104(constB8) | (~v102(constB7))),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1238, 295, 1232])).
% 24.42/15.77 tff(1240,plain,
% 24.42/15.77 (v104(constB8)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1239, 1229])).
% 24.42/15.77 tff(1241,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1242,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8)))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1243,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB7) | (~nextState(constB7, constB8)) | (~v98(constB8))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 24.42/15.77 tff(1244,plain,
% 24.42/15.77 (~v98(constB8)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1243, 313, 1232, 1071])).
% 24.42/15.77 tff(1245,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1246,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB7, constB8)) | v96(constB8) | v98(constB8))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1247,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB7, constB8)) | v96(constB8) | v98(constB8)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 24.42/15.77 tff(1248,plain,
% 24.42/15.77 (v96(constB8) | v98(constB8)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1247, 327, 1232])).
% 24.42/15.77 tff(1249,plain,
% 24.42/15.77 (v96(constB8)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1248, 1244])).
% 24.42/15.77 tff(1250,plain,
% 24.42/15.77 (v1(constB8) <=> v1(constB8)),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1251,axiom,(v1(constB8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_8_1')).
% 24.42/15.77 tff(1252,plain,
% 24.42/15.77 (v1(constB8)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 24.42/15.77 tff(1253,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1254,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8)))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1255,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB7, constB8)) | v95(constB8) | (~v96(constB8)) | (~v1(constB8))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 24.42/15.77 tff(1256,plain,
% 24.42/15.77 (v95(constB8) | (~v96(constB8))),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1255, 345, 1232, 1252])).
% 24.42/15.77 tff(1257,plain,
% 24.42/15.77 (v95(constB8)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1256, 1249])).
% 24.42/15.77 tff(1258,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1259,plain,
% 24.42/15.77 (((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8)) <=> ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1260,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8))))),
% 24.42/15.77 inference(monotonicity,[status(thm)],[1259])).
% 24.42/15.77 tff(1261,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8)))),
% 24.42/15.77 inference(transitivity,[status(thm)],[1260, 1258])).
% 24.42/15.77 tff(1262,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB7, constB8)) | (~v95(constB8)) | (~v104(constB8)) | v94(constB8))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1263,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB7, constB8)) | v94(constB8) | (~v95(constB8)) | (~v104(constB8))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 24.42/15.77 tff(1264,plain,
% 24.42/15.77 (v94(constB8) | (~v95(constB8)) | (~v104(constB8))),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1263, 360, 1232])).
% 24.42/15.77 tff(1265,plain,
% 24.42/15.77 (v94(constB8) | (~v104(constB8))),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1264, 1257])).
% 24.42/15.77 tff(1266,plain,
% 24.42/15.77 (v94(constB8)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1265, 1240])).
% 24.42/15.77 tff(1267,plain,
% 24.42/15.77 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1268,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1267])).
% 24.42/15.77 tff(1269,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1270,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_3')).
% 24.42/15.77 tff(1271,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1270, 1269])).
% 24.42/15.77 tff(1272,plain,(
% 24.42/15.77 ![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.77 inference(skolemize,[status(sab)],[1271])).
% 24.42/15.77 tff(1273,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1272, 1268])).
% 24.42/15.77 tff(1274,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB7)) | v124(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB7)) | v124(constB7, bitIndex2))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1275,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB7)) | v124(constB7, bitIndex2))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1276,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB7)) | v124(constB7, bitIndex2)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1275, 1274])).
% 24.42/15.77 tff(1277,plain,
% 24.42/15.77 (v124(constB7, bitIndex2)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1276, 1273, 1185])).
% 24.42/15.77 tff(1278,plain,
% 24.42/15.77 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1279,plain,
% 24.42/15.77 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1278])).
% 24.42/15.77 tff(1280,plain,
% 24.42/15.77 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1281,plain,
% 24.42/15.77 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v124(VarCurr, bitIndex2))) | v121(VarCurr, bitIndex2)) <=> (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2)))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1282,plain,
% 24.42/15.77 (![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex2))) | v121(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1281])).
% 24.42/15.77 tff(1283,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v124(VarCurr, bitIndex2))) | v121(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_5')).
% 24.42/15.77 tff(1284,plain,
% 24.42/15.77 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1283, 1282])).
% 24.42/15.77 tff(1285,plain,
% 24.42/15.77 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1284, 1280])).
% 24.42/15.77 tff(1286,plain,(
% 24.42/15.77 ![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 24.42/15.77 inference(skolemize,[status(sab)],[1285])).
% 24.42/15.77 tff(1287,plain,
% 24.42/15.77 (![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1286, 1279])).
% 24.42/15.77 tff(1288,plain,
% 24.42/15.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB7) | (~v124(constB7, bitIndex2)) | v121(constB7, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB7) | (~v124(constB7, bitIndex2)) | v121(constB7, bitIndex2))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1289,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB7) | (~v124(constB7, bitIndex2)) | v121(constB7, bitIndex2))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1290,plain,
% 24.42/15.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB7) | (~v124(constB7, bitIndex2)) | v121(constB7, bitIndex2)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 24.42/15.77 tff(1291,plain,
% 24.42/15.77 (v26(constB7) | v121(constB7, bitIndex2)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1290, 1287, 1277])).
% 24.42/15.77 tff(1292,plain,
% 24.42/15.77 (v121(constB7, bitIndex2)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1291, 45])).
% 24.42/15.77 tff(1293,plain,
% 24.42/15.77 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1294,plain,
% 24.42/15.77 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1293])).
% 24.42/15.77 tff(1295,plain,
% 24.42/15.77 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1296,plain,
% 24.42/15.77 (^[VarNext: state_type, VarCurr: state_type] : rewrite((((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2))) | v123(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2)))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1297,plain,
% 24.42/15.77 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2))) | v123(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1296])).
% 24.42/15.77 tff(1298,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2))) | v123(VarNext, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_5')).
% 24.42/15.77 tff(1299,plain,
% 24.42/15.77 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1298, 1297])).
% 24.42/15.77 tff(1300,plain,
% 24.42/15.77 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1299, 1295])).
% 24.42/15.77 tff(1301,plain,(
% 24.42/15.77 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 24.42/15.77 inference(skolemize,[status(sab)],[1300])).
% 24.42/15.77 tff(1302,plain,
% 24.42/15.77 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1301, 1294])).
% 24.42/15.77 tff(1303,plain,
% 24.42/15.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1304,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB7, constB8)) | (~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1305,plain,
% 24.42/15.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB7, constB8)) | (~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 24.42/15.77 tff(1306,plain,
% 24.42/15.77 ((~v121(constB7, bitIndex2)) | v123(constB8, bitIndex2)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1305, 1302, 1232])).
% 24.42/15.77 tff(1307,plain,
% 24.42/15.77 (v123(constB8, bitIndex2)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1306, 1292])).
% 24.42/15.77 tff(1308,plain,
% 24.42/15.77 (^[VarNext: state_type] : refl((v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1309,plain,
% 24.42/15.77 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1308])).
% 24.42/15.77 tff(1310,plain,
% 24.42/15.77 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1311,plain,
% 24.42/15.77 (^[VarNext: state_type] : rewrite((((~v94(VarNext)) | (~v123(VarNext, bitIndex2))) | v84(VarNext, bitIndex2)) <=> (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2))))),
% 24.42/15.77 inference(bind,[status(th)],[])).
% 24.42/15.77 tff(1312,plain,
% 24.42/15.77 (![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex2))) | v84(VarNext, bitIndex2)) <=> ![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 24.42/15.77 inference(quant_intro,[status(thm)],[1311])).
% 24.42/15.77 tff(1313,axiom,(![VarNext: state_type] : (((~v94(VarNext)) | (~v123(VarNext, bitIndex2))) | v84(VarNext, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1_5')).
% 24.42/15.77 tff(1314,plain,
% 24.42/15.77 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1313, 1312])).
% 24.42/15.77 tff(1315,plain,
% 24.42/15.77 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1314, 1310])).
% 24.42/15.77 tff(1316,plain,(
% 24.42/15.77 ![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 24.42/15.77 inference(skolemize,[status(sab)],[1315])).
% 24.42/15.77 tff(1317,plain,
% 24.42/15.77 (![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1316, 1309])).
% 24.42/15.77 tff(1318,plain,
% 24.42/15.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1319,plain,
% 24.42/15.77 ((v84(constB8, bitIndex2) | (~v94(constB8)) | (~v123(constB8, bitIndex2))) <=> (v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8)))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1320,plain,
% 24.42/15.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v94(constB8)) | (~v123(constB8, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8))))),
% 24.42/15.77 inference(monotonicity,[status(thm)],[1319])).
% 24.42/15.77 tff(1321,plain,
% 24.42/15.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v94(constB8)) | (~v123(constB8, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8)))),
% 24.42/15.77 inference(transitivity,[status(thm)],[1320, 1318])).
% 24.42/15.77 tff(1322,plain,
% 24.42/15.77 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB8, bitIndex2) | (~v94(constB8)) | (~v123(constB8, bitIndex2)))),
% 24.42/15.77 inference(quant_inst,[status(thm)],[])).
% 24.42/15.77 tff(1323,plain,
% 24.42/15.77 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2)) | (~v94(constB8))),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 24.42/15.77 tff(1324,plain,
% 24.42/15.77 (v84(constB8, bitIndex2) | (~v94(constB8))),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1323, 1317, 1307])).
% 24.42/15.77 tff(1325,plain,
% 24.42/15.77 (v84(constB8, bitIndex2)),
% 24.42/15.77 inference(unit_resolution,[status(thm)],[1324, 1266])).
% 24.42/15.77 tff(1326,plain,
% 24.42/15.77 ((~v1(constB9)) <=> (~v1(constB9))),
% 24.42/15.77 inference(rewrite,[status(thm)],[])).
% 24.42/15.77 tff(1327,axiom,(~v1(constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_9_1_1')).
% 24.42/15.77 tff(1328,plain,
% 24.42/15.77 (~v1(constB9)),
% 24.42/15.77 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 24.42/15.77 tff(1329,plain,
% 24.42/15.77 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1330,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_8_1')).
% 24.42/15.78 tff(1331,plain,
% 24.42/15.78 (nextState(constB8, constB9)),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1330, 1329])).
% 24.42/15.78 tff(1332,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1333,plain,
% 24.42/15.78 (((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9)) <=> (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1334,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9))))),
% 24.42/15.78 inference(monotonicity,[status(thm)],[1333])).
% 24.42/15.78 tff(1335,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9)))),
% 24.42/15.78 inference(transitivity,[status(thm)],[1334, 1332])).
% 24.42/15.78 tff(1336,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB8, constB9)) | (~v95(constB9)) | v1(constB9))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1337,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB9) | (~nextState(constB8, constB9)) | (~v95(constB9))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 24.42/15.78 tff(1338,plain,
% 24.42/15.78 (~v95(constB9)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1337, 73, 1331, 1328])).
% 24.42/15.78 tff(1339,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1340,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1341,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB8, constB9)) | v95(constB9) | (~v94(constB9))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 24.42/15.78 tff(1342,plain,
% 24.42/15.78 (v95(constB9) | (~v94(constB9))),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1341, 90, 1331])).
% 24.42/15.78 tff(1343,plain,
% 24.42/15.78 (~v94(constB9)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1342, 1338])).
% 24.42/15.78 tff(1344,plain,
% 24.42/15.78 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)))),
% 24.42/15.78 inference(bind,[status(th)],[])).
% 24.42/15.78 tff(1345,plain,
% 24.42/15.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 24.42/15.78 inference(quant_intro,[status(thm)],[1344])).
% 24.42/15.78 tff(1346,plain,
% 24.42/15.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1347,plain,
% 24.42/15.78 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) <=> (((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))))), rewrite((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext))), ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext)))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) | v84(VarNext, bitIndex2)) <=> (((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext)) | v84(VarNext, bitIndex2)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext)) | v84(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))), (((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) | v84(VarNext, bitIndex2)) <=> ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))))),
% 24.42/15.78 inference(bind,[status(th)],[])).
% 24.42/15.78 tff(1348,plain,
% 24.42/15.78 (![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) | v84(VarNext, bitIndex2)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 24.42/15.78 inference(quant_intro,[status(thm)],[1347])).
% 24.42/15.78 tff(1349,axiom,(![VarNext: state_type, VarCurr: state_type] : ((((~nextState(VarCurr, VarNext)) | v94(VarNext)) | (~v84(VarCurr, bitIndex2))) | v84(VarNext, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_5')).
% 24.42/15.78 tff(1350,plain,
% 24.42/15.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 24.42/15.78 tff(1351,plain,
% 24.42/15.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1350, 1346])).
% 24.42/15.78 tff(1352,plain,(
% 24.42/15.78 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 24.42/15.78 inference(skolemize,[status(sab)],[1351])).
% 24.42/15.78 tff(1353,plain,
% 24.42/15.78 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1352, 1345])).
% 24.42/15.78 tff(1354,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1355,plain,
% 24.42/15.78 (((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2)) <=> ((~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1356,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2)))),
% 24.42/15.78 inference(monotonicity,[status(thm)],[1355])).
% 24.42/15.78 tff(1357,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2))),
% 24.42/15.78 inference(transitivity,[status(thm)],[1356, 1354])).
% 24.42/15.78 tff(1358,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB8, constB9)) | (~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1359,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB8, bitIndex2)) | (~nextState(constB8, constB9)) | v94(constB9) | v84(constB9, bitIndex2)),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 24.42/15.78 tff(1360,plain,
% 24.42/15.78 ((~v84(constB8, bitIndex2)) | v94(constB9) | v84(constB9, bitIndex2)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1359, 1353, 1331])).
% 24.42/15.78 tff(1361,plain,
% 24.42/15.78 ((~v84(constB8, bitIndex2)) | v84(constB9, bitIndex2)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1360, 1343])).
% 24.42/15.78 tff(1362,plain,
% 24.42/15.78 (v84(constB9, bitIndex2)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1361, 1325])).
% 24.42/15.78 tff(1363,plain,
% 24.42/15.78 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 24.42/15.78 inference(bind,[status(th)],[])).
% 24.42/15.78 tff(1364,plain,
% 24.42/15.78 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.78 inference(quant_intro,[status(thm)],[1363])).
% 24.42/15.78 tff(1365,plain,
% 24.42/15.78 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1366,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 24.42/15.78 tff(1367,plain,
% 24.42/15.78 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 24.42/15.78 tff(1368,plain,(
% 24.42/15.78 ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.78 inference(skolemize,[status(sab)],[1367])).
% 24.42/15.78 tff(1369,plain,
% 24.42/15.78 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1368, 1364])).
% 24.42/15.78 tff(1370,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB7)) | (~v124(constB7, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB7)) | (~v124(constB7, bitIndex1)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1371,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB7)) | (~v124(constB7, bitIndex1)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1372,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB7)) | (~v124(constB7, bitIndex1))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 24.42/15.78 tff(1373,plain,
% 24.42/15.78 (~v124(constB7, bitIndex1)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1372, 1369, 1185])).
% 24.42/15.78 tff(1374,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1375,plain,
% 24.42/15.78 ((v26(constB7) | v124(constB7, bitIndex1) | (~v121(constB7, bitIndex1))) <=> ((~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1376,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB7) | v124(constB7, bitIndex1) | (~v121(constB7, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1)))),
% 24.42/15.78 inference(monotonicity,[status(thm)],[1375])).
% 24.42/15.78 tff(1377,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB7) | v124(constB7, bitIndex1) | (~v121(constB7, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1))),
% 24.42/15.78 inference(transitivity,[status(thm)],[1376, 1374])).
% 24.42/15.78 tff(1378,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB7) | v124(constB7, bitIndex1) | (~v121(constB7, bitIndex1)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1379,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB7, bitIndex1)) | v26(constB7) | v124(constB7, bitIndex1)),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1378, 1377])).
% 24.42/15.78 tff(1380,plain,
% 24.42/15.78 ((~v121(constB7, bitIndex1)) | v26(constB7)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1379, 476, 1373])).
% 24.42/15.78 tff(1381,plain,
% 24.42/15.78 (~v121(constB7, bitIndex1)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1380, 45])).
% 24.42/15.78 tff(1382,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1383,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1384,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1383, 1382])).
% 24.42/15.78 tff(1385,plain,
% 24.42/15.78 (v121(constB7, bitIndex1) | (~v123(constB8, bitIndex1))),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1384, 494, 1232])).
% 24.42/15.78 tff(1386,plain,
% 24.42/15.78 (~v123(constB8, bitIndex1)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1385, 1381])).
% 24.42/15.78 tff(1387,plain,
% 24.42/15.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1388,plain,
% 24.42/15.78 (((~v84(constB8, bitIndex1)) | (~v94(constB8)) | v123(constB8, bitIndex1)) <=> ((~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1389,plain,
% 24.42/15.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~v94(constB8)) | v123(constB8, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8))))),
% 24.42/15.78 inference(monotonicity,[status(thm)],[1388])).
% 24.42/15.78 tff(1390,plain,
% 24.42/15.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~v94(constB8)) | v123(constB8, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8)))),
% 24.42/15.78 inference(transitivity,[status(thm)],[1389, 1387])).
% 24.42/15.78 tff(1391,plain,
% 24.42/15.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB8, bitIndex1)) | (~v94(constB8)) | v123(constB8, bitIndex1))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1392,plain,
% 24.42/15.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1) | (~v94(constB8))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1391, 1390])).
% 24.42/15.78 tff(1393,plain,
% 24.42/15.78 ((~v84(constB8, bitIndex1)) | (~v94(constB8))),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1392, 509, 1386])).
% 24.42/15.78 tff(1394,plain,
% 24.42/15.78 (~v84(constB8, bitIndex1)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1393, 1266])).
% 24.42/15.78 tff(1395,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1396,plain,
% 24.42/15.78 (((~nextState(constB8, constB9)) | v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1))) <=> (v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1397,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1))))),
% 24.42/15.78 inference(monotonicity,[status(thm)],[1396])).
% 24.42/15.78 tff(1398,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1)))),
% 24.42/15.78 inference(transitivity,[status(thm)],[1397, 1395])).
% 24.42/15.78 tff(1399,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1400,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB8, bitIndex1) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex1))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 24.42/15.78 tff(1401,plain,
% 24.42/15.78 (v84(constB8, bitIndex1) | v94(constB9) | (~v84(constB9, bitIndex1))),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1400, 126, 1331])).
% 24.42/15.78 tff(1402,plain,
% 24.42/15.78 (v84(constB8, bitIndex1) | (~v84(constB9, bitIndex1))),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1401, 1343])).
% 24.42/15.78 tff(1403,plain,
% 24.42/15.78 (~v84(constB9, bitIndex1)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1402, 1394])).
% 24.42/15.78 tff(1404,plain,
% 24.42/15.78 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 24.42/15.78 inference(bind,[status(th)],[])).
% 24.42/15.78 tff(1405,plain,
% 24.42/15.78 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.78 inference(quant_intro,[status(thm)],[1404])).
% 24.42/15.78 tff(1406,plain,
% 24.42/15.78 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1407,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 24.42/15.78 tff(1408,plain,
% 24.42/15.78 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1407, 1406])).
% 24.42/15.78 tff(1409,plain,(
% 24.42/15.78 ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.78 inference(skolemize,[status(sab)],[1408])).
% 24.42/15.78 tff(1410,plain,
% 24.42/15.78 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1409, 1405])).
% 24.42/15.78 tff(1411,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB7)) | (~v124(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB7)) | (~v124(constB7, bitIndex0)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1412,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB7)) | (~v124(constB7, bitIndex0)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1413,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB7)) | (~v124(constB7, bitIndex0))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 24.42/15.78 tff(1414,plain,
% 24.42/15.78 (~v124(constB7, bitIndex0)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1413, 1410, 1185])).
% 24.42/15.78 tff(1415,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1416,plain,
% 24.42/15.78 ((v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0))) <=> ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1417,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0)))),
% 24.42/15.78 inference(monotonicity,[status(thm)],[1416])).
% 24.42/15.78 tff(1418,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0))),
% 24.42/15.78 inference(transitivity,[status(thm)],[1417, 1415])).
% 24.42/15.78 tff(1419,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB7) | v124(constB7, bitIndex0) | (~v121(constB7, bitIndex0)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1420,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB7, bitIndex0)) | v26(constB7) | v124(constB7, bitIndex0)),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 24.42/15.78 tff(1421,plain,
% 24.42/15.78 ((~v121(constB7, bitIndex0)) | v26(constB7)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1420, 890, 1414])).
% 24.42/15.78 tff(1422,plain,
% 24.42/15.78 (~v121(constB7, bitIndex0)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1421, 45])).
% 24.42/15.78 tff(1423,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1424,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1425,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB7, constB8)) | v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 24.42/15.78 tff(1426,plain,
% 24.42/15.78 (v121(constB7, bitIndex0) | (~v123(constB8, bitIndex0))),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1425, 908, 1232])).
% 24.42/15.78 tff(1427,plain,
% 24.42/15.78 (~v123(constB8, bitIndex0)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1426, 1422])).
% 24.42/15.78 tff(1428,plain,
% 24.42/15.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1429,plain,
% 24.42/15.78 (((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0)) <=> ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1430,plain,
% 24.42/15.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8))))),
% 24.42/15.78 inference(monotonicity,[status(thm)],[1429])).
% 24.42/15.78 tff(1431,plain,
% 24.42/15.78 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8)))),
% 24.42/15.78 inference(transitivity,[status(thm)],[1430, 1428])).
% 24.42/15.78 tff(1432,plain,
% 24.42/15.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB8, bitIndex0)) | (~v94(constB8)) | v123(constB8, bitIndex0))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1433,plain,
% 24.42/15.78 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0) | (~v94(constB8))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 24.42/15.78 tff(1434,plain,
% 24.42/15.78 ((~v84(constB8, bitIndex0)) | (~v94(constB8))),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1433, 923, 1427])).
% 24.42/15.78 tff(1435,plain,
% 24.42/15.78 (~v84(constB8, bitIndex0)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1434, 1266])).
% 24.42/15.78 tff(1436,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1437,plain,
% 24.42/15.78 (((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0))) <=> (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1438,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0))))),
% 24.42/15.78 inference(monotonicity,[status(thm)],[1437])).
% 24.42/15.78 tff(1439,plain,
% 24.42/15.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 24.42/15.78 inference(transitivity,[status(thm)],[1438, 1436])).
% 24.42/15.78 tff(1440,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB8, constB9)) | v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1441,plain,
% 24.42/15.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB8, bitIndex0) | (~nextState(constB8, constB9)) | v94(constB9) | (~v84(constB9, bitIndex0))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 24.42/15.78 tff(1442,plain,
% 24.42/15.78 (v84(constB8, bitIndex0) | v94(constB9) | (~v84(constB9, bitIndex0))),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1441, 147, 1331])).
% 24.42/15.78 tff(1443,plain,
% 24.42/15.78 (v84(constB8, bitIndex0) | (~v84(constB9, bitIndex0))),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1442, 1343])).
% 24.42/15.78 tff(1444,plain,
% 24.42/15.78 (~v84(constB9, bitIndex0)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1443, 1435])).
% 24.42/15.78 tff(1445,plain,
% 24.42/15.78 (^[VarCurr: state_type] : refl((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)))),
% 24.42/15.78 inference(bind,[status(th)],[])).
% 24.42/15.78 tff(1446,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 24.42/15.78 inference(quant_intro,[status(thm)],[1445])).
% 24.42/15.78 tff(1447,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1448,plain,
% 24.42/15.78 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)) <=> ((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)))), rewrite(((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))), ((((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))))),
% 24.42/15.78 inference(bind,[status(th)],[])).
% 24.42/15.78 tff(1449,plain,
% 24.42/15.78 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 24.42/15.78 inference(quant_intro,[status(thm)],[1448])).
% 24.42/15.78 tff(1450,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v172(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 24.42/15.78 tff(1451,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1450, 1449])).
% 24.42/15.78 tff(1452,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1451, 1447])).
% 24.42/15.78 tff(1453,plain,(
% 24.42/15.78 ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 24.42/15.78 inference(skolemize,[status(sab)],[1452])).
% 24.42/15.78 tff(1454,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1453, 1446])).
% 24.42/15.78 tff(1455,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)) | v172(constB9))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)) | v172(constB9))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1456,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)) | v172(constB9))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1457,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)) | v172(constB9)),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 24.42/15.78 tff(1458,plain,
% 24.42/15.78 (v172(constB9)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1457, 1454, 1444, 1403, 1362])).
% 24.42/15.78 tff(1459,plain,
% 24.42/15.78 (^[VarCurr: state_type] : refl((v109(VarCurr) | (~v172(VarCurr))) <=> (v109(VarCurr) | (~v172(VarCurr))))),
% 24.42/15.78 inference(bind,[status(th)],[])).
% 24.42/15.78 tff(1460,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 24.42/15.78 inference(quant_intro,[status(thm)],[1459])).
% 24.42/15.78 tff(1461,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1462,plain,
% 24.42/15.78 (^[VarCurr: state_type] : rewrite(((~v172(VarCurr)) | v109(VarCurr)) <=> (v109(VarCurr) | (~v172(VarCurr))))),
% 24.42/15.78 inference(bind,[status(th)],[])).
% 24.42/15.78 tff(1463,plain,
% 24.42/15.78 (![VarCurr: state_type] : ((~v172(VarCurr)) | v109(VarCurr)) <=> ![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 24.42/15.78 inference(quant_intro,[status(thm)],[1462])).
% 24.42/15.78 tff(1464,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | v109(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_1')).
% 24.42/15.78 tff(1465,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 24.42/15.78 tff(1466,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1465, 1461])).
% 24.42/15.78 tff(1467,plain,(
% 24.42/15.78 ![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 24.42/15.78 inference(skolemize,[status(sab)],[1466])).
% 24.42/15.78 tff(1468,plain,
% 24.42/15.78 (![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1467, 1460])).
% 24.42/15.78 tff(1469,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB9) | (~v172(constB9)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB9) | (~v172(constB9)))),
% 24.42/15.78 inference(rewrite,[status(thm)],[])).
% 24.42/15.78 tff(1470,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB9) | (~v172(constB9)))),
% 24.42/15.78 inference(quant_inst,[status(thm)],[])).
% 24.42/15.78 tff(1471,plain,
% 24.42/15.78 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB9) | (~v172(constB9))),
% 24.42/15.78 inference(modus_ponens,[status(thm)],[1470, 1469])).
% 24.42/15.78 tff(1472,plain,
% 24.42/15.78 (v109(constB9)),
% 24.42/15.78 inference(unit_resolution,[status(thm)],[1471, 1468, 1458])).
% 24.42/15.78 tff(1473,plain,
% 24.42/15.78 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB9)) | v108(constB9))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB9)) | v108(constB9))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1474,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB9)) | v108(constB9))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1475,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB9)) | v108(constB9)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 24.42/15.79 tff(1476,plain,
% 24.42/15.79 (v108(constB9)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1475, 235, 1472])).
% 24.42/15.79 tff(1477,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB9)) | v107(constB9))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB9)) | v107(constB9))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1478,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB9)) | v107(constB9))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1479,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB9)) | v107(constB9)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1478, 1477])).
% 24.42/15.79 tff(1480,plain,
% 24.42/15.79 (v107(constB9)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1479, 249, 1476])).
% 24.42/15.79 tff(1481,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | v106(constB9) | (~v107(constB9)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1482,plain,
% 24.42/15.79 ((v26(constB9) | (~v107(constB9)) | v106(constB9)) <=> (v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1483,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | v106(constB9) | (~v107(constB9))))),
% 24.42/15.79 inference(monotonicity,[status(thm)],[1482])).
% 24.42/15.79 tff(1484,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9)))),
% 24.42/15.79 inference(transitivity,[status(thm)],[1483, 1481])).
% 24.42/15.79 tff(1485,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB9) | (~v107(constB9)) | v106(constB9))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1486,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB9) | v106(constB9) | (~v107(constB9))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 24.42/15.79 tff(1487,plain,
% 24.42/15.79 (v26(constB9) | v106(constB9)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1486, 263, 1480])).
% 24.42/15.79 tff(1488,plain,
% 24.42/15.79 (v106(constB9)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1487, 41])).
% 24.42/15.79 tff(1489,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB9) | (~v106(constB9)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB9) | (~v106(constB9)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1490,plain,
% 24.42/15.79 (((~v106(constB9)) | v102(constB9)) <=> (v102(constB9) | (~v106(constB9)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1491,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB9)) | v102(constB9))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB9) | (~v106(constB9))))),
% 24.42/15.79 inference(monotonicity,[status(thm)],[1490])).
% 24.42/15.79 tff(1492,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB9)) | v102(constB9))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB9) | (~v106(constB9)))),
% 24.42/15.79 inference(transitivity,[status(thm)],[1491, 1489])).
% 24.42/15.79 tff(1493,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB9)) | v102(constB9))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1494,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB9) | (~v106(constB9))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 24.42/15.79 tff(1495,plain,
% 24.42/15.79 (v102(constB9)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1494, 275, 1488])).
% 24.42/15.79 tff(1496,plain,
% 24.42/15.79 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1497,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_9_1')).
% 24.42/15.79 tff(1498,plain,
% 24.42/15.79 (nextState(constB9, constB10)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1497, 1496])).
% 24.42/15.79 tff(1499,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1500,plain,
% 24.42/15.79 (((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10)) <=> ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1501,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9))))),
% 24.42/15.79 inference(monotonicity,[status(thm)],[1500])).
% 24.42/15.79 tff(1502,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9)))),
% 24.42/15.79 inference(transitivity,[status(thm)],[1501, 1499])).
% 24.42/15.79 tff(1503,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB9, constB10)) | (~v102(constB9)) | v104(constB10))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1504,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB9, constB10)) | v104(constB10) | (~v102(constB9))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1503, 1502])).
% 24.42/15.79 tff(1505,plain,
% 24.42/15.79 (v104(constB10) | (~v102(constB9))),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1504, 295, 1498])).
% 24.42/15.79 tff(1506,plain,
% 24.42/15.79 (v104(constB10)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1505, 1495])).
% 24.42/15.79 tff(1507,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1508,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10)))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1509,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB9) | (~nextState(constB9, constB10)) | (~v98(constB10))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 24.42/15.79 tff(1510,plain,
% 24.42/15.79 (~v98(constB10)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1509, 313, 1498, 1328])).
% 24.42/15.79 tff(1511,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1512,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB9, constB10)) | v96(constB10) | v98(constB10))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1513,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB9, constB10)) | v96(constB10) | v98(constB10)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 24.42/15.79 tff(1514,plain,
% 24.42/15.79 (v96(constB10) | v98(constB10)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1513, 327, 1498])).
% 24.42/15.79 tff(1515,plain,
% 24.42/15.79 (v96(constB10)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1514, 1510])).
% 24.42/15.79 tff(1516,plain,
% 24.42/15.79 (v1(constB10) <=> v1(constB10)),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1517,axiom,(v1(constB10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_10_1')).
% 24.42/15.79 tff(1518,plain,
% 24.42/15.79 (v1(constB10)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1517, 1516])).
% 24.42/15.79 tff(1519,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1520,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10)))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1521,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB9, constB10)) | v95(constB10) | (~v96(constB10)) | (~v1(constB10))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1520, 1519])).
% 24.42/15.79 tff(1522,plain,
% 24.42/15.79 (v95(constB10) | (~v96(constB10))),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1521, 345, 1498, 1518])).
% 24.42/15.79 tff(1523,plain,
% 24.42/15.79 (v95(constB10)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1522, 1515])).
% 24.42/15.79 tff(1524,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1525,plain,
% 24.42/15.79 (((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10)) <=> ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1526,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10))))),
% 24.42/15.79 inference(monotonicity,[status(thm)],[1525])).
% 24.42/15.79 tff(1527,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10)))),
% 24.42/15.79 inference(transitivity,[status(thm)],[1526, 1524])).
% 24.42/15.79 tff(1528,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB9, constB10)) | (~v95(constB10)) | (~v104(constB10)) | v94(constB10))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1529,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB9, constB10)) | v94(constB10) | (~v95(constB10)) | (~v104(constB10))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1528, 1527])).
% 24.42/15.79 tff(1530,plain,
% 24.42/15.79 (v94(constB10) | (~v95(constB10)) | (~v104(constB10))),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1529, 360, 1498])).
% 24.42/15.79 tff(1531,plain,
% 24.42/15.79 (v94(constB10) | (~v104(constB10))),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1530, 1523])).
% 24.42/15.79 tff(1532,plain,
% 24.42/15.79 (v94(constB10)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1531, 1506])).
% 24.42/15.79 tff(1533,plain,
% 24.42/15.79 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 24.42/15.79 inference(bind,[status(th)],[])).
% 24.42/15.79 tff(1534,plain,
% 24.42/15.79 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.79 inference(quant_intro,[status(thm)],[1533])).
% 24.42/15.79 tff(1535,plain,
% 24.42/15.79 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1536,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_3')).
% 24.42/15.79 tff(1537,plain,
% 24.42/15.79 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 24.42/15.79 tff(1538,plain,(
% 24.42/15.79 ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.79 inference(skolemize,[status(sab)],[1537])).
% 24.42/15.79 tff(1539,plain,
% 24.42/15.79 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1538, 1534])).
% 24.42/15.79 tff(1540,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB9)) | v124(constB9, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB9)) | v124(constB9, bitIndex2))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1541,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB9)) | v124(constB9, bitIndex2))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1542,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB9)) | v124(constB9, bitIndex2)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 24.42/15.79 tff(1543,plain,
% 24.42/15.79 (v124(constB9, bitIndex2)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1542, 1539, 1458])).
% 24.42/15.79 tff(1544,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB9) | (~v124(constB9, bitIndex2)) | v121(constB9, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB9) | (~v124(constB9, bitIndex2)) | v121(constB9, bitIndex2))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1545,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB9) | (~v124(constB9, bitIndex2)) | v121(constB9, bitIndex2))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1546,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB9) | (~v124(constB9, bitIndex2)) | v121(constB9, bitIndex2)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 24.42/15.79 tff(1547,plain,
% 24.42/15.79 (v26(constB9) | v121(constB9, bitIndex2)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1546, 1287, 1543])).
% 24.42/15.79 tff(1548,plain,
% 24.42/15.79 (v121(constB9, bitIndex2)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1547, 41])).
% 24.42/15.79 tff(1549,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1550,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1551,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 24.42/15.79 tff(1552,plain,
% 24.42/15.79 ((~v121(constB9, bitIndex2)) | v123(constB10, bitIndex2)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1551, 1302, 1498])).
% 24.42/15.79 tff(1553,plain,
% 24.42/15.79 (v123(constB10, bitIndex2)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1552, 1548])).
% 24.42/15.79 tff(1554,plain,
% 24.42/15.79 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1555,plain,
% 24.42/15.79 ((v84(constB10, bitIndex2) | (~v94(constB10)) | (~v123(constB10, bitIndex2))) <=> (v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1556,plain,
% 24.42/15.79 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v94(constB10)) | (~v123(constB10, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10))))),
% 24.42/15.79 inference(monotonicity,[status(thm)],[1555])).
% 24.42/15.79 tff(1557,plain,
% 24.42/15.79 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v94(constB10)) | (~v123(constB10, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10)))),
% 24.42/15.79 inference(transitivity,[status(thm)],[1556, 1554])).
% 24.42/15.79 tff(1558,plain,
% 24.42/15.79 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB10, bitIndex2) | (~v94(constB10)) | (~v123(constB10, bitIndex2)))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1559,plain,
% 24.42/15.79 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2)) | (~v94(constB10))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 24.42/15.79 tff(1560,plain,
% 24.42/15.79 (v84(constB10, bitIndex2) | (~v94(constB10))),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1559, 1317, 1553])).
% 24.42/15.79 tff(1561,plain,
% 24.42/15.79 (v84(constB10, bitIndex2)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1560, 1532])).
% 24.42/15.79 tff(1562,plain,
% 24.42/15.79 ((~v1(constB11)) <=> (~v1(constB11))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1563,axiom,(~v1(constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_11_1_1')).
% 24.42/15.79 tff(1564,plain,
% 24.42/15.79 (~v1(constB11)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1563, 1562])).
% 24.42/15.79 tff(1565,plain,
% 24.42/15.79 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1566,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_10_1')).
% 24.42/15.79 tff(1567,plain,
% 24.42/15.79 (nextState(constB10, constB11)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1566, 1565])).
% 24.42/15.79 tff(1568,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1569,plain,
% 24.42/15.79 (((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11)) <=> (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1570,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11))))),
% 24.42/15.79 inference(monotonicity,[status(thm)],[1569])).
% 24.42/15.79 tff(1571,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11)))),
% 24.42/15.79 inference(transitivity,[status(thm)],[1570, 1568])).
% 24.42/15.79 tff(1572,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB10, constB11)) | (~v95(constB11)) | v1(constB11))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1573,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB11) | (~nextState(constB10, constB11)) | (~v95(constB11))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 24.42/15.79 tff(1574,plain,
% 24.42/15.79 (~v95(constB11)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1573, 73, 1567, 1564])).
% 24.42/15.79 tff(1575,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1576,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11)))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1577,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB10, constB11)) | v95(constB11) | (~v94(constB11))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 24.42/15.79 tff(1578,plain,
% 24.42/15.79 (v95(constB11) | (~v94(constB11))),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1577, 90, 1567])).
% 24.42/15.79 tff(1579,plain,
% 24.42/15.79 (~v94(constB11)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1578, 1574])).
% 24.42/15.79 tff(1580,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1581,plain,
% 24.42/15.79 (((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2)) <=> ((~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1582,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2)))),
% 24.42/15.79 inference(monotonicity,[status(thm)],[1581])).
% 24.42/15.79 tff(1583,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2))),
% 24.42/15.79 inference(transitivity,[status(thm)],[1582, 1580])).
% 24.42/15.79 tff(1584,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1585,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB10, bitIndex2)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex2)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 24.42/15.79 tff(1586,plain,
% 24.42/15.79 ((~v84(constB10, bitIndex2)) | v94(constB11) | v84(constB11, bitIndex2)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1585, 1353, 1567])).
% 24.42/15.79 tff(1587,plain,
% 24.42/15.79 ((~v84(constB10, bitIndex2)) | v84(constB11, bitIndex2)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1586, 1579])).
% 24.42/15.79 tff(1588,plain,
% 24.42/15.79 (v84(constB11, bitIndex2)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1587, 1561])).
% 24.42/15.79 tff(1589,plain,
% 24.42/15.79 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1))))),
% 24.42/15.79 inference(bind,[status(th)],[])).
% 24.42/15.79 tff(1590,plain,
% 24.42/15.79 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.79 inference(quant_intro,[status(thm)],[1589])).
% 24.42/15.79 tff(1591,plain,
% 24.42/15.79 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1592,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_2')).
% 24.42/15.79 tff(1593,plain,
% 24.42/15.79 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1592, 1591])).
% 24.42/15.79 tff(1594,plain,(
% 24.42/15.79 ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.79 inference(skolemize,[status(sab)],[1593])).
% 24.42/15.79 tff(1595,plain,
% 24.42/15.79 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1594, 1590])).
% 24.42/15.79 tff(1596,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB9)) | (~v124(constB9, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB9)) | (~v124(constB9, bitIndex1)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1597,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB9)) | (~v124(constB9, bitIndex1)))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1598,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB9)) | (~v124(constB9, bitIndex1))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1597, 1596])).
% 24.42/15.79 tff(1599,plain,
% 24.42/15.79 (~v124(constB9, bitIndex1)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1598, 1595, 1458])).
% 24.42/15.79 tff(1600,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1601,plain,
% 24.42/15.79 ((v26(constB9) | v124(constB9, bitIndex1) | (~v121(constB9, bitIndex1))) <=> ((~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1602,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB9) | v124(constB9, bitIndex1) | (~v121(constB9, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1)))),
% 24.42/15.79 inference(monotonicity,[status(thm)],[1601])).
% 24.42/15.79 tff(1603,plain,
% 24.42/15.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB9) | v124(constB9, bitIndex1) | (~v121(constB9, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1))),
% 24.42/15.79 inference(transitivity,[status(thm)],[1602, 1600])).
% 24.42/15.79 tff(1604,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB9) | v124(constB9, bitIndex1) | (~v121(constB9, bitIndex1)))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1605,plain,
% 24.42/15.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB9, bitIndex1)) | v26(constB9) | v124(constB9, bitIndex1)),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1604, 1603])).
% 24.42/15.79 tff(1606,plain,
% 24.42/15.79 ((~v121(constB9, bitIndex1)) | v26(constB9)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1605, 476, 1599])).
% 24.42/15.79 tff(1607,plain,
% 24.42/15.79 (~v121(constB9, bitIndex1)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1606, 41])).
% 24.42/15.79 tff(1608,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1609,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1)))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1610,plain,
% 24.42/15.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB9, constB10)) | v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 24.42/15.79 tff(1611,plain,
% 24.42/15.79 (v121(constB9, bitIndex1) | (~v123(constB10, bitIndex1))),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1610, 494, 1498])).
% 24.42/15.79 tff(1612,plain,
% 24.42/15.79 (~v123(constB10, bitIndex1)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1611, 1607])).
% 24.42/15.79 tff(1613,plain,
% 24.42/15.79 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1614,plain,
% 24.42/15.79 (((~v84(constB10, bitIndex1)) | (~v94(constB10)) | v123(constB10, bitIndex1)) <=> ((~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1615,plain,
% 24.42/15.79 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~v94(constB10)) | v123(constB10, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10))))),
% 24.42/15.79 inference(monotonicity,[status(thm)],[1614])).
% 24.42/15.79 tff(1616,plain,
% 24.42/15.79 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~v94(constB10)) | v123(constB10, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10)))),
% 24.42/15.79 inference(transitivity,[status(thm)],[1615, 1613])).
% 24.42/15.79 tff(1617,plain,
% 24.42/15.79 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB10, bitIndex1)) | (~v94(constB10)) | v123(constB10, bitIndex1))),
% 24.42/15.79 inference(quant_inst,[status(thm)],[])).
% 24.42/15.79 tff(1618,plain,
% 24.42/15.79 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1) | (~v94(constB10))),
% 24.42/15.79 inference(modus_ponens,[status(thm)],[1617, 1616])).
% 24.42/15.79 tff(1619,plain,
% 24.42/15.79 ((~v84(constB10, bitIndex1)) | (~v94(constB10))),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1618, 509, 1612])).
% 24.42/15.79 tff(1620,plain,
% 24.42/15.79 (~v84(constB10, bitIndex1)),
% 24.42/15.79 inference(unit_resolution,[status(thm)],[1619, 1532])).
% 24.42/15.79 tff(1621,plain,
% 24.42/15.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1)))),
% 24.42/15.79 inference(rewrite,[status(thm)],[])).
% 24.42/15.79 tff(1622,plain,
% 24.42/15.79 (((~nextState(constB10, constB11)) | v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1))) <=> (v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1623,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1))))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1622])).
% 24.42/15.80 tff(1624,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1)))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1623, 1621])).
% 24.42/15.80 tff(1625,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB10, constB11)) | v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1)))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1626,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB10, bitIndex1) | (~nextState(constB10, constB11)) | v94(constB11) | (~v84(constB11, bitIndex1))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 24.42/15.80 tff(1627,plain,
% 24.42/15.80 (v84(constB10, bitIndex1) | v94(constB11) | (~v84(constB11, bitIndex1))),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1626, 126, 1567])).
% 24.42/15.80 tff(1628,plain,
% 24.42/15.80 (v84(constB10, bitIndex1) | (~v84(constB11, bitIndex1))),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1627, 1579])).
% 24.42/15.80 tff(1629,plain,
% 24.42/15.80 (~v84(constB11, bitIndex1)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1628, 1620])).
% 24.42/15.80 tff(1630,plain,
% 24.42/15.80 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((~v172(VarCurr)) | v124(VarCurr, bitIndex0)))),
% 24.42/15.80 inference(bind,[status(th)],[])).
% 24.42/15.80 tff(1631,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.80 inference(quant_intro,[status(thm)],[1630])).
% 24.42/15.80 tff(1632,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1633,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_1')).
% 24.42/15.80 tff(1634,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 24.42/15.80 tff(1635,plain,(
% 24.42/15.80 ![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.80 inference(skolemize,[status(sab)],[1634])).
% 24.42/15.80 tff(1636,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1635, 1631])).
% 24.42/15.80 tff(1637,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB9)) | v124(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB9)) | v124(constB9, bitIndex0))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1638,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB9)) | v124(constB9, bitIndex0))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1639,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB9)) | v124(constB9, bitIndex0)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 24.42/15.80 tff(1640,plain,
% 24.42/15.80 (v124(constB9, bitIndex0)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1639, 1636, 1458])).
% 24.42/15.80 tff(1641,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1642,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1643,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB9) | (~v124(constB9, bitIndex0)) | v121(constB9, bitIndex0)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1642, 1641])).
% 24.42/15.80 tff(1644,plain,
% 24.42/15.80 (v26(constB9) | v121(constB9, bitIndex0)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1643, 547, 1640])).
% 24.42/15.80 tff(1645,plain,
% 24.42/15.80 (v121(constB9, bitIndex0)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1644, 41])).
% 24.42/15.80 tff(1646,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1647,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1648,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB9, constB10)) | (~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 24.42/15.80 tff(1649,plain,
% 24.42/15.80 ((~v121(constB9, bitIndex0)) | v123(constB10, bitIndex0)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1648, 562, 1498])).
% 24.42/15.80 tff(1650,plain,
% 24.42/15.80 (v123(constB10, bitIndex0)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1649, 1645])).
% 24.42/15.80 tff(1651,plain,
% 24.42/15.80 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1652,plain,
% 24.42/15.80 ((v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0))) <=> (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1653,plain,
% 24.42/15.80 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10))))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1652])).
% 24.42/15.80 tff(1654,plain,
% 24.42/15.80 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10)))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1653, 1651])).
% 24.42/15.80 tff(1655,plain,
% 24.42/15.80 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB10, bitIndex0) | (~v94(constB10)) | (~v123(constB10, bitIndex0)))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1656,plain,
% 24.42/15.80 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0)) | (~v94(constB10))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 24.42/15.80 tff(1657,plain,
% 24.42/15.80 (v84(constB10, bitIndex0) | (~v94(constB10))),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1656, 577, 1650])).
% 24.42/15.80 tff(1658,plain,
% 24.42/15.80 (v84(constB10, bitIndex0)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1657, 1532])).
% 24.42/15.80 tff(1659,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1660,plain,
% 24.42/15.80 (((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0)) <=> ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1661,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0)))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1660])).
% 24.42/15.80 tff(1662,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1661, 1659])).
% 24.42/15.80 tff(1663,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB10, constB11)) | (~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1664,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB10, bitIndex0)) | (~nextState(constB10, constB11)) | v94(constB11) | v84(constB11, bitIndex0)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 24.42/15.80 tff(1665,plain,
% 24.42/15.80 ((~v84(constB10, bitIndex0)) | v94(constB11) | v84(constB11, bitIndex0)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1664, 595, 1567])).
% 24.42/15.80 tff(1666,plain,
% 24.42/15.80 ((~v84(constB10, bitIndex0)) | v84(constB11, bitIndex0)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1665, 1579])).
% 24.42/15.80 tff(1667,plain,
% 24.42/15.80 (v84(constB11, bitIndex0)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1666, 1658])).
% 24.42/15.80 tff(1668,plain,
% 24.42/15.80 (^[VarCurr: state_type] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)))),
% 24.42/15.80 inference(bind,[status(th)],[])).
% 24.42/15.80 tff(1669,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 24.42/15.80 inference(quant_intro,[status(thm)],[1668])).
% 24.42/15.80 tff(1670,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1671,plain,
% 24.42/15.80 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1))), (((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))), (((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))), ((((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))), ((((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))))),
% 24.42/15.80 inference(bind,[status(th)],[])).
% 24.42/15.80 tff(1672,plain,
% 24.42/15.80 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr)) <=> ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 24.42/15.80 inference(quant_intro,[status(thm)],[1671])).
% 24.42/15.80 tff(1673,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0))) | (~v84(VarCurr, bitIndex2))) | v118(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 24.42/15.80 tff(1674,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 24.42/15.80 tff(1675,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1674, 1670])).
% 24.42/15.80 tff(1676,plain,(
% 24.42/15.80 ![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 24.42/15.80 inference(skolemize,[status(sab)],[1675])).
% 24.42/15.80 tff(1677,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1676, 1669])).
% 24.42/15.80 tff(1678,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB11, bitIndex0)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex2)) | v118(constB11))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB11, bitIndex0)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex2)) | v118(constB11))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1679,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB11, bitIndex0)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex2)) | v118(constB11))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1680,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB11, bitIndex0)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex2)) | v118(constB11)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 24.42/15.80 tff(1681,plain,
% 24.42/15.80 (v118(constB11)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1680, 1677, 1667, 1629, 1588])).
% 24.42/15.80 tff(1682,plain,
% 24.42/15.80 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v108(VarCurr)) <=> ((~v118(VarCurr)) | v108(VarCurr)))),
% 24.42/15.80 inference(bind,[status(th)],[])).
% 24.42/15.80 tff(1683,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 24.42/15.80 inference(quant_intro,[status(thm)],[1682])).
% 24.42/15.80 tff(1684,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1685,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_1')).
% 24.42/15.80 tff(1686,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 24.42/15.80 tff(1687,plain,(
% 24.42/15.80 ![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 24.42/15.80 inference(skolemize,[status(sab)],[1686])).
% 24.42/15.80 tff(1688,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1687, 1683])).
% 24.42/15.80 tff(1689,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v118(constB11)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v118(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1690,plain,
% 24.42/15.80 (((~v118(constB11)) | v108(constB11)) <=> (v108(constB11) | (~v118(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1691,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB11) | (~v118(constB11))))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1690])).
% 24.42/15.80 tff(1692,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB11)) | v108(constB11))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v118(constB11)))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1691, 1689])).
% 24.42/15.80 tff(1693,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB11)) | v108(constB11))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1694,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB11) | (~v118(constB11))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 24.42/15.80 tff(1695,plain,
% 24.42/15.80 (v108(constB11)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1694, 1688, 1681])).
% 24.42/15.80 tff(1696,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB11) | (~v108(constB11)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB11) | (~v108(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1697,plain,
% 24.42/15.80 (((~v108(constB11)) | v107(constB11)) <=> (v107(constB11) | (~v108(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1698,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB11)) | v107(constB11))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB11) | (~v108(constB11))))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1697])).
% 24.42/15.80 tff(1699,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB11)) | v107(constB11))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB11) | (~v108(constB11)))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1698, 1696])).
% 24.42/15.80 tff(1700,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB11)) | v107(constB11))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1701,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB11) | (~v108(constB11))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 24.42/15.80 tff(1702,plain,
% 24.42/15.80 (v107(constB11)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1701, 249, 1695])).
% 24.42/15.80 tff(1703,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | v106(constB11) | (~v107(constB11)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1704,plain,
% 24.42/15.80 ((v26(constB11) | (~v107(constB11)) | v106(constB11)) <=> (v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1705,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | v106(constB11) | (~v107(constB11))))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1704])).
% 24.42/15.80 tff(1706,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11)))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1705, 1703])).
% 24.42/15.80 tff(1707,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB11) | (~v107(constB11)) | v106(constB11))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1708,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB11) | v106(constB11) | (~v107(constB11))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 24.42/15.80 tff(1709,plain,
% 24.42/15.80 (v26(constB11) | v106(constB11)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1708, 263, 1702])).
% 24.42/15.80 tff(1710,plain,
% 24.42/15.80 (v106(constB11)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1709, 37])).
% 24.42/15.80 tff(1711,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB11) | (~v106(constB11)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB11) | (~v106(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1712,plain,
% 24.42/15.80 (((~v106(constB11)) | v102(constB11)) <=> (v102(constB11) | (~v106(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1713,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB11)) | v102(constB11))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB11) | (~v106(constB11))))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1712])).
% 24.42/15.80 tff(1714,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB11)) | v102(constB11))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB11) | (~v106(constB11)))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1713, 1711])).
% 24.42/15.80 tff(1715,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB11)) | v102(constB11))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1716,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB11) | (~v106(constB11))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 24.42/15.80 tff(1717,plain,
% 24.42/15.80 (v102(constB11)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1716, 275, 1710])).
% 24.42/15.80 tff(1718,plain,
% 24.42/15.80 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1719,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_11_1')).
% 24.42/15.80 tff(1720,plain,
% 24.42/15.80 (nextState(constB11, constB12)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 24.42/15.80 tff(1721,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1722,plain,
% 24.42/15.80 (((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12)) <=> ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1723,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11))))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1722])).
% 24.42/15.80 tff(1724,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11)))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1723, 1721])).
% 24.42/15.80 tff(1725,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB11, constB12)) | (~v102(constB11)) | v104(constB12))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1726,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB11, constB12)) | v104(constB12) | (~v102(constB11))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1725, 1724])).
% 24.42/15.80 tff(1727,plain,
% 24.42/15.80 (v104(constB12) | (~v102(constB11))),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1726, 295, 1720])).
% 24.42/15.80 tff(1728,plain,
% 24.42/15.80 (v104(constB12)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1727, 1717])).
% 24.42/15.80 tff(1729,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1730,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12)))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1731,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB11) | (~nextState(constB11, constB12)) | (~v98(constB12))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 24.42/15.80 tff(1732,plain,
% 24.42/15.80 (~v98(constB12)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1731, 313, 1720, 1564])).
% 24.42/15.80 tff(1733,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1734,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB11, constB12)) | v96(constB12) | v98(constB12))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1735,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB11, constB12)) | v96(constB12) | v98(constB12)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 24.42/15.80 tff(1736,plain,
% 24.42/15.80 (v96(constB12) | v98(constB12)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1735, 327, 1720])).
% 24.42/15.80 tff(1737,plain,
% 24.42/15.80 (v96(constB12)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1736, 1732])).
% 24.42/15.80 tff(1738,plain,
% 24.42/15.80 (v1(constB12) <=> v1(constB12)),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1739,axiom,(v1(constB12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_12_1')).
% 24.42/15.80 tff(1740,plain,
% 24.42/15.80 (v1(constB12)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1739, 1738])).
% 24.42/15.80 tff(1741,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1742,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12)))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1743,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB11, constB12)) | v95(constB12) | (~v96(constB12)) | (~v1(constB12))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 24.42/15.80 tff(1744,plain,
% 24.42/15.80 (v95(constB12) | (~v96(constB12))),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1743, 345, 1720, 1740])).
% 24.42/15.80 tff(1745,plain,
% 24.42/15.80 (v95(constB12)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1744, 1737])).
% 24.42/15.80 tff(1746,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1747,plain,
% 24.42/15.80 (((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12)) <=> ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1748,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12))))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1747])).
% 24.42/15.80 tff(1749,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12)))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1748, 1746])).
% 24.42/15.80 tff(1750,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB11, constB12)) | (~v95(constB12)) | (~v104(constB12)) | v94(constB12))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1751,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB11, constB12)) | v94(constB12) | (~v95(constB12)) | (~v104(constB12))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 24.42/15.80 tff(1752,plain,
% 24.42/15.80 (v94(constB12) | (~v95(constB12)) | (~v104(constB12))),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1751, 360, 1720])).
% 24.42/15.80 tff(1753,plain,
% 24.42/15.80 (v94(constB12) | (~v104(constB12))),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1752, 1745])).
% 24.42/15.80 tff(1754,plain,
% 24.42/15.80 (v94(constB12)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1753, 1728])).
% 24.42/15.80 tff(1755,plain,
% 24.42/15.80 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex2)))),
% 24.42/15.80 inference(bind,[status(th)],[])).
% 24.42/15.80 tff(1756,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.80 inference(quant_intro,[status(thm)],[1755])).
% 24.42/15.80 tff(1757,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1758,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_3')).
% 24.42/15.80 tff(1759,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1758, 1757])).
% 24.42/15.80 tff(1760,plain,(
% 24.42/15.80 ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.80 inference(skolemize,[status(sab)],[1759])).
% 24.42/15.80 tff(1761,plain,
% 24.42/15.80 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1760, 1756])).
% 24.42/15.80 tff(1762,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB11)) | v124(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB11)) | v124(constB11, bitIndex2))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1763,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB11)) | v124(constB11, bitIndex2))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1764,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB11)) | v124(constB11, bitIndex2)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1763, 1762])).
% 24.42/15.80 tff(1765,plain,
% 24.42/15.80 (v124(constB11, bitIndex2)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1764, 1761, 1681])).
% 24.42/15.80 tff(1766,plain,
% 24.42/15.80 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1767,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1768,plain,
% 24.42/15.80 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB11) | (~v124(constB11, bitIndex2)) | v121(constB11, bitIndex2)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1767, 1766])).
% 24.42/15.80 tff(1769,plain,
% 24.42/15.80 (v26(constB11) | v121(constB11, bitIndex2)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1768, 1287, 1765])).
% 24.42/15.80 tff(1770,plain,
% 24.42/15.80 (v121(constB11, bitIndex2)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1769, 37])).
% 24.42/15.80 tff(1771,plain,
% 24.42/15.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1772,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1773,plain,
% 24.42/15.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2)),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 24.42/15.80 tff(1774,plain,
% 24.42/15.80 ((~v121(constB11, bitIndex2)) | v123(constB12, bitIndex2)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1773, 1302, 1720])).
% 24.42/15.80 tff(1775,plain,
% 24.42/15.80 (v123(constB12, bitIndex2)),
% 24.42/15.80 inference(unit_resolution,[status(thm)],[1774, 1770])).
% 24.42/15.80 tff(1776,plain,
% 24.42/15.80 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1777,plain,
% 24.42/15.80 ((v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2))) <=> (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 24.42/15.80 inference(rewrite,[status(thm)],[])).
% 24.42/15.80 tff(1778,plain,
% 24.42/15.80 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12))))),
% 24.42/15.80 inference(monotonicity,[status(thm)],[1777])).
% 24.42/15.80 tff(1779,plain,
% 24.42/15.80 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12)))),
% 24.42/15.80 inference(transitivity,[status(thm)],[1778, 1776])).
% 24.42/15.80 tff(1780,plain,
% 24.42/15.80 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB12, bitIndex2) | (~v94(constB12)) | (~v123(constB12, bitIndex2)))),
% 24.42/15.80 inference(quant_inst,[status(thm)],[])).
% 24.42/15.80 tff(1781,plain,
% 24.42/15.80 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2)) | (~v94(constB12))),
% 24.42/15.80 inference(modus_ponens,[status(thm)],[1780, 1779])).
% 24.42/15.80 tff(1782,plain,
% 24.42/15.80 (v84(constB12, bitIndex2) | (~v94(constB12))),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1781, 1317, 1775])).
% 24.42/15.81 tff(1783,plain,
% 24.42/15.81 (v84(constB12, bitIndex2)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1782, 1754])).
% 24.42/15.81 tff(1784,plain,
% 24.42/15.81 ((~v1(constB13)) <=> (~v1(constB13))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1785,axiom,(~v1(constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_13_1_1')).
% 24.42/15.81 tff(1786,plain,
% 24.42/15.81 (~v1(constB13)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 24.42/15.81 tff(1787,plain,
% 24.42/15.81 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1788,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_12_1')).
% 24.42/15.81 tff(1789,plain,
% 24.42/15.81 (nextState(constB12, constB13)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1788, 1787])).
% 24.42/15.81 tff(1790,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1791,plain,
% 24.42/15.81 (((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13)) <=> (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1792,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13))))),
% 24.42/15.81 inference(monotonicity,[status(thm)],[1791])).
% 24.42/15.81 tff(1793,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13)))),
% 24.42/15.81 inference(transitivity,[status(thm)],[1792, 1790])).
% 24.42/15.81 tff(1794,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB12, constB13)) | (~v95(constB13)) | v1(constB13))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1795,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB13) | (~nextState(constB12, constB13)) | (~v95(constB13))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 24.42/15.81 tff(1796,plain,
% 24.42/15.81 (~v95(constB13)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1795, 73, 1789, 1786])).
% 24.42/15.81 tff(1797,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1798,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13)))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1799,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB12, constB13)) | v95(constB13) | (~v94(constB13))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 24.42/15.81 tff(1800,plain,
% 24.42/15.81 (v95(constB13) | (~v94(constB13))),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1799, 90, 1789])).
% 24.42/15.81 tff(1801,plain,
% 24.42/15.81 (~v94(constB13)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1800, 1796])).
% 24.42/15.81 tff(1802,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1803,plain,
% 24.42/15.81 (((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2)) <=> ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1804,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2)))),
% 24.42/15.81 inference(monotonicity,[status(thm)],[1803])).
% 24.42/15.81 tff(1805,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2))),
% 24.42/15.81 inference(transitivity,[status(thm)],[1804, 1802])).
% 24.42/15.81 tff(1806,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1807,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB12, bitIndex2)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex2)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 24.42/15.81 tff(1808,plain,
% 24.42/15.81 ((~v84(constB12, bitIndex2)) | v94(constB13) | v84(constB13, bitIndex2)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1807, 1353, 1789])).
% 24.42/15.81 tff(1809,plain,
% 24.42/15.81 ((~v84(constB12, bitIndex2)) | v84(constB13, bitIndex2)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1808, 1801])).
% 24.42/15.81 tff(1810,plain,
% 24.42/15.81 (v84(constB13, bitIndex2)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1809, 1783])).
% 24.42/15.81 tff(1811,plain,
% 24.42/15.81 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)))),
% 24.42/15.81 inference(bind,[status(th)],[])).
% 24.42/15.81 tff(1812,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.81 inference(quant_intro,[status(thm)],[1811])).
% 24.42/15.81 tff(1813,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1814,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 24.42/15.81 tff(1815,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 24.42/15.81 tff(1816,plain,(
% 24.42/15.81 ![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.81 inference(skolemize,[status(sab)],[1815])).
% 24.42/15.81 tff(1817,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1816, 1812])).
% 24.42/15.81 tff(1818,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB11)) | v124(constB11, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB11)) | v124(constB11, bitIndex1))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1819,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB11)) | v124(constB11, bitIndex1))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1820,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB11)) | v124(constB11, bitIndex1)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1819, 1818])).
% 24.42/15.81 tff(1821,plain,
% 24.42/15.81 (v124(constB11, bitIndex1)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1820, 1817, 1681])).
% 24.42/15.81 tff(1822,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB11) | (~v124(constB11, bitIndex1)) | v121(constB11, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB11) | (~v124(constB11, bitIndex1)) | v121(constB11, bitIndex1))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1823,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB11) | (~v124(constB11, bitIndex1)) | v121(constB11, bitIndex1))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1824,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB11) | (~v124(constB11, bitIndex1)) | v121(constB11, bitIndex1)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 24.42/15.81 tff(1825,plain,
% 24.42/15.81 (v26(constB11) | v121(constB11, bitIndex1)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1824, 812, 1821])).
% 24.42/15.81 tff(1826,plain,
% 24.42/15.81 (v121(constB11, bitIndex1)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1825, 37])).
% 24.42/15.81 tff(1827,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1828,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1829,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB11, constB12)) | (~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 24.42/15.81 tff(1830,plain,
% 24.42/15.81 ((~v121(constB11, bitIndex1)) | v123(constB12, bitIndex1)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1829, 827, 1720])).
% 24.42/15.81 tff(1831,plain,
% 24.42/15.81 (v123(constB12, bitIndex1)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1830, 1826])).
% 24.42/15.81 tff(1832,plain,
% 24.42/15.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1833,plain,
% 24.42/15.81 ((v84(constB12, bitIndex1) | (~v94(constB12)) | (~v123(constB12, bitIndex1))) <=> (v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1834,plain,
% 24.42/15.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v94(constB12)) | (~v123(constB12, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12))))),
% 24.42/15.81 inference(monotonicity,[status(thm)],[1833])).
% 24.42/15.81 tff(1835,plain,
% 24.42/15.81 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v94(constB12)) | (~v123(constB12, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12)))),
% 24.42/15.81 inference(transitivity,[status(thm)],[1834, 1832])).
% 24.42/15.81 tff(1836,plain,
% 24.42/15.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB12, bitIndex1) | (~v94(constB12)) | (~v123(constB12, bitIndex1)))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1837,plain,
% 24.42/15.81 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1)) | (~v94(constB12))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1836, 1835])).
% 24.42/15.81 tff(1838,plain,
% 24.42/15.81 (v84(constB12, bitIndex1) | (~v94(constB12))),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1837, 842, 1831])).
% 24.42/15.81 tff(1839,plain,
% 24.42/15.81 (v84(constB12, bitIndex1)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1838, 1754])).
% 24.42/15.81 tff(1840,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1841,plain,
% 24.42/15.81 (((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1)) <=> ((~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1842,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1)))),
% 24.42/15.81 inference(monotonicity,[status(thm)],[1841])).
% 24.42/15.81 tff(1843,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1))),
% 24.42/15.81 inference(transitivity,[status(thm)],[1842, 1840])).
% 24.42/15.81 tff(1844,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB12, constB13)) | (~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1845,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB12, bitIndex1)) | (~nextState(constB12, constB13)) | v94(constB13) | v84(constB13, bitIndex1)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1844, 1843])).
% 24.42/15.81 tff(1846,plain,
% 24.42/15.81 ((~v84(constB12, bitIndex1)) | v94(constB13) | v84(constB13, bitIndex1)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1845, 860, 1789])).
% 24.42/15.81 tff(1847,plain,
% 24.42/15.81 ((~v84(constB12, bitIndex1)) | v84(constB13, bitIndex1)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1846, 1801])).
% 24.42/15.81 tff(1848,plain,
% 24.42/15.81 (v84(constB13, bitIndex1)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1847, 1839])).
% 24.42/15.81 tff(1849,plain,
% 24.42/15.81 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0))))),
% 24.42/15.81 inference(bind,[status(th)],[])).
% 24.42/15.81 tff(1850,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.81 inference(quant_intro,[status(thm)],[1849])).
% 24.42/15.81 tff(1851,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1852,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 24.42/15.81 tff(1853,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 24.42/15.81 tff(1854,plain,(
% 24.42/15.81 ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.81 inference(skolemize,[status(sab)],[1853])).
% 24.42/15.81 tff(1855,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1854, 1850])).
% 24.42/15.81 tff(1856,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB11)) | (~v124(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB11)) | (~v124(constB11, bitIndex0)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1857,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB11)) | (~v124(constB11, bitIndex0)))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1858,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB11)) | (~v124(constB11, bitIndex0))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 24.42/15.81 tff(1859,plain,
% 24.42/15.81 (~v124(constB11, bitIndex0)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1858, 1855, 1681])).
% 24.42/15.81 tff(1860,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1861,plain,
% 24.42/15.81 ((v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0))) <=> ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1862,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0)))),
% 24.42/15.81 inference(monotonicity,[status(thm)],[1861])).
% 24.42/15.81 tff(1863,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0))),
% 24.42/15.81 inference(transitivity,[status(thm)],[1862, 1860])).
% 24.42/15.81 tff(1864,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB11) | v124(constB11, bitIndex0) | (~v121(constB11, bitIndex0)))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1865,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB11, bitIndex0)) | v26(constB11) | v124(constB11, bitIndex0)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 24.42/15.81 tff(1866,plain,
% 24.42/15.81 ((~v121(constB11, bitIndex0)) | v26(constB11)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1865, 890, 1859])).
% 24.42/15.81 tff(1867,plain,
% 24.42/15.81 (~v121(constB11, bitIndex0)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1866, 37])).
% 24.42/15.81 tff(1868,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1869,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0)))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1870,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB11, constB12)) | v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 24.42/15.81 tff(1871,plain,
% 24.42/15.81 (v121(constB11, bitIndex0) | (~v123(constB12, bitIndex0))),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1870, 908, 1720])).
% 24.42/15.81 tff(1872,plain,
% 24.42/15.81 (~v123(constB12, bitIndex0)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1871, 1867])).
% 24.42/15.81 tff(1873,plain,
% 24.42/15.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1874,plain,
% 24.42/15.81 (((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0)) <=> ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1875,plain,
% 24.42/15.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12))))),
% 24.42/15.81 inference(monotonicity,[status(thm)],[1874])).
% 24.42/15.81 tff(1876,plain,
% 24.42/15.81 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12)))),
% 24.42/15.81 inference(transitivity,[status(thm)],[1875, 1873])).
% 24.42/15.81 tff(1877,plain,
% 24.42/15.81 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB12, bitIndex0)) | (~v94(constB12)) | v123(constB12, bitIndex0))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1878,plain,
% 24.42/15.81 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0) | (~v94(constB12))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 24.42/15.81 tff(1879,plain,
% 24.42/15.81 ((~v84(constB12, bitIndex0)) | (~v94(constB12))),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1878, 923, 1872])).
% 24.42/15.81 tff(1880,plain,
% 24.42/15.81 (~v84(constB12, bitIndex0)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1879, 1754])).
% 24.42/15.81 tff(1881,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1882,plain,
% 24.42/15.81 (((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0))) <=> (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1883,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0))))),
% 24.42/15.81 inference(monotonicity,[status(thm)],[1882])).
% 24.42/15.81 tff(1884,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 24.42/15.81 inference(transitivity,[status(thm)],[1883, 1881])).
% 24.42/15.81 tff(1885,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB12, constB13)) | v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0)))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1886,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB12, bitIndex0) | (~nextState(constB12, constB13)) | v94(constB13) | (~v84(constB13, bitIndex0))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 24.42/15.81 tff(1887,plain,
% 24.42/15.81 (v84(constB12, bitIndex0) | v94(constB13) | (~v84(constB13, bitIndex0))),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1886, 147, 1789])).
% 24.42/15.81 tff(1888,plain,
% 24.42/15.81 (v84(constB12, bitIndex0) | (~v84(constB13, bitIndex0))),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1887, 1801])).
% 24.42/15.81 tff(1889,plain,
% 24.42/15.81 (~v84(constB13, bitIndex0)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1888, 1880])).
% 24.42/15.81 tff(1890,plain,
% 24.42/15.81 (^[VarCurr: state_type] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)))),
% 24.42/15.81 inference(bind,[status(th)],[])).
% 24.42/15.81 tff(1891,plain,
% 24.42/15.81 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 24.42/15.81 inference(quant_intro,[status(thm)],[1890])).
% 24.42/15.81 tff(1892,plain,
% 24.42/15.81 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1893,plain,
% 24.42/15.81 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)))), (((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) <=> ((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))))), rewrite(((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))), (((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))))), ((((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)) <=> ((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)))), rewrite(((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))), ((((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))))),
% 24.42/15.81 inference(bind,[status(th)],[])).
% 24.42/15.81 tff(1894,plain,
% 24.42/15.81 (![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 24.42/15.81 inference(quant_intro,[status(thm)],[1893])).
% 24.42/15.81 tff(1895,axiom,(![VarCurr: state_type] : (((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex2))) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 24.42/15.81 tff(1896,plain,
% 24.42/15.81 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1895, 1894])).
% 24.42/15.81 tff(1897,plain,
% 24.42/15.81 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1896, 1892])).
% 24.42/15.81 tff(1898,plain,(
% 24.42/15.81 ![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 24.42/15.81 inference(skolemize,[status(sab)],[1897])).
% 24.42/15.81 tff(1899,plain,
% 24.42/15.81 (![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1898, 1891])).
% 24.42/15.81 tff(1900,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)) | v119(constB13))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)) | v119(constB13))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1901,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)) | v119(constB13))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1902,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)) | v119(constB13)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 24.42/15.81 tff(1903,plain,
% 24.42/15.81 (v119(constB13)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1902, 1899, 1889, 1848, 1810])).
% 24.42/15.81 tff(1904,plain,
% 24.42/15.81 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | v107(VarCurr)) <=> ((~v119(VarCurr)) | v107(VarCurr)))),
% 24.42/15.81 inference(bind,[status(th)],[])).
% 24.42/15.81 tff(1905,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 24.42/15.81 inference(quant_intro,[status(thm)],[1904])).
% 24.42/15.81 tff(1906,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1907,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_1')).
% 24.42/15.81 tff(1908,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1907, 1906])).
% 24.42/15.81 tff(1909,plain,(
% 24.42/15.81 ![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 24.42/15.81 inference(skolemize,[status(sab)],[1908])).
% 24.42/15.81 tff(1910,plain,
% 24.42/15.81 (![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1909, 1905])).
% 24.42/15.81 tff(1911,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB13)) | v107(constB13))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB13)) | v107(constB13))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1912,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB13)) | v107(constB13))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1913,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB13)) | v107(constB13)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 24.42/15.81 tff(1914,plain,
% 24.42/15.81 (v107(constB13)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1913, 1910, 1903])).
% 24.42/15.81 tff(1915,assumption,(v26(constB13)), introduced(assumption)).
% 24.42/15.81 tff(1916,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB13))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1917,plain,
% 24.42/15.81 ($false),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1916, 18, 1915])).
% 24.42/15.81 tff(1918,plain,(~v26(constB13)), inference(lemma,lemma(discharge,[]))).
% 24.42/15.81 tff(1919,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | (~v107(constB13)) | v106(constB13))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1920,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB13) | (~v107(constB13)) | v106(constB13))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1921,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB13) | (~v107(constB13)) | v106(constB13)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 24.42/15.81 tff(1922,plain,
% 24.42/15.81 ((~v107(constB13)) | v106(constB13)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1921, 263, 1918])).
% 24.42/15.81 tff(1923,plain,
% 24.42/15.81 (v106(constB13)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1922, 1914])).
% 24.42/15.81 tff(1924,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB13) | (~v106(constB13)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB13) | (~v106(constB13)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1925,plain,
% 24.42/15.81 (((~v106(constB13)) | v102(constB13)) <=> (v102(constB13) | (~v106(constB13)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1926,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB13)) | v102(constB13))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB13) | (~v106(constB13))))),
% 24.42/15.81 inference(monotonicity,[status(thm)],[1925])).
% 24.42/15.81 tff(1927,plain,
% 24.42/15.81 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB13)) | v102(constB13))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB13) | (~v106(constB13)))),
% 24.42/15.81 inference(transitivity,[status(thm)],[1926, 1924])).
% 24.42/15.81 tff(1928,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB13)) | v102(constB13))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1929,plain,
% 24.42/15.81 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB13) | (~v106(constB13))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 24.42/15.81 tff(1930,plain,
% 24.42/15.81 (v102(constB13)),
% 24.42/15.81 inference(unit_resolution,[status(thm)],[1929, 275, 1923])).
% 24.42/15.81 tff(1931,plain,
% 24.42/15.81 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1932,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_13_1')).
% 24.42/15.81 tff(1933,plain,
% 24.42/15.81 (nextState(constB13, constB14)),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 24.42/15.81 tff(1934,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1935,plain,
% 24.42/15.81 (((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14)) <=> ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 24.42/15.81 inference(rewrite,[status(thm)],[])).
% 24.42/15.81 tff(1936,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13))))),
% 24.42/15.81 inference(monotonicity,[status(thm)],[1935])).
% 24.42/15.81 tff(1937,plain,
% 24.42/15.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13)))),
% 24.42/15.81 inference(transitivity,[status(thm)],[1936, 1934])).
% 24.42/15.81 tff(1938,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB13, constB14)) | (~v102(constB13)) | v104(constB14))),
% 24.42/15.81 inference(quant_inst,[status(thm)],[])).
% 24.42/15.81 tff(1939,plain,
% 24.42/15.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB13, constB14)) | v104(constB14) | (~v102(constB13))),
% 24.42/15.81 inference(modus_ponens,[status(thm)],[1938, 1937])).
% 24.42/15.82 tff(1940,plain,
% 24.42/15.82 (v104(constB14) | (~v102(constB13))),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1939, 295, 1933])).
% 24.42/15.82 tff(1941,plain,
% 24.42/15.82 (v104(constB14)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1940, 1930])).
% 24.42/15.82 tff(1942,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1943,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(1944,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB13) | (~nextState(constB13, constB14)) | (~v98(constB14))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1943, 1942])).
% 24.42/15.82 tff(1945,plain,
% 24.42/15.82 (~v98(constB14)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1944, 313, 1933, 1786])).
% 24.42/15.82 tff(1946,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1947,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB13, constB14)) | v96(constB14) | v98(constB14))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(1948,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB13, constB14)) | v96(constB14) | v98(constB14)),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1947, 1946])).
% 24.42/15.82 tff(1949,plain,
% 24.42/15.82 (v96(constB14) | v98(constB14)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1948, 327, 1933])).
% 24.42/15.82 tff(1950,plain,
% 24.42/15.82 (v96(constB14)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1949, 1945])).
% 24.42/15.82 tff(1951,plain,
% 24.42/15.82 (v1(constB14) <=> v1(constB14)),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1952,axiom,(v1(constB14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_14_1')).
% 24.42/15.82 tff(1953,plain,
% 24.42/15.82 (v1(constB14)),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 24.42/15.82 tff(1954,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1955,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(1956,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB13, constB14)) | v95(constB14) | (~v96(constB14)) | (~v1(constB14))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1955, 1954])).
% 24.42/15.82 tff(1957,plain,
% 24.42/15.82 (v95(constB14) | (~v96(constB14))),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1956, 345, 1933, 1953])).
% 24.42/15.82 tff(1958,plain,
% 24.42/15.82 (v95(constB14)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1957, 1950])).
% 24.42/15.82 tff(1959,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1960,plain,
% 24.42/15.82 (((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14)) <=> ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1961,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14))))),
% 24.42/15.82 inference(monotonicity,[status(thm)],[1960])).
% 24.42/15.82 tff(1962,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14)))),
% 24.42/15.82 inference(transitivity,[status(thm)],[1961, 1959])).
% 24.42/15.82 tff(1963,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB13, constB14)) | (~v95(constB14)) | (~v104(constB14)) | v94(constB14))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(1964,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB13, constB14)) | v94(constB14) | (~v95(constB14)) | (~v104(constB14))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 24.42/15.82 tff(1965,plain,
% 24.42/15.82 (v94(constB14) | (~v95(constB14)) | (~v104(constB14))),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1964, 360, 1933])).
% 24.42/15.82 tff(1966,plain,
% 24.42/15.82 (v94(constB14) | (~v104(constB14))),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1965, 1958])).
% 24.42/15.82 tff(1967,plain,
% 24.42/15.82 (v94(constB14)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1966, 1941])).
% 24.42/15.82 tff(1968,plain,
% 24.42/15.82 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 24.42/15.82 inference(bind,[status(th)],[])).
% 24.42/15.82 tff(1969,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(quant_intro,[status(thm)],[1968])).
% 24.42/15.82 tff(1970,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1971,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 24.42/15.82 tff(1972,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 24.42/15.82 tff(1973,plain,(
% 24.42/15.82 ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(skolemize,[status(sab)],[1972])).
% 24.42/15.82 tff(1974,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1973, 1969])).
% 24.42/15.82 tff(1975,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB13)) | (~v84(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB13)) | (~v84(constB13, bitIndex2)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1976,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB13)) | (~v84(constB13, bitIndex2)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(1977,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB13)) | (~v84(constB13, bitIndex2))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1976, 1975])).
% 24.42/15.82 tff(1978,plain,
% 24.42/15.82 (~v115(constB13)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1977, 1974, 1810])).
% 24.42/15.82 tff(1979,plain,
% 24.42/15.82 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 24.42/15.82 inference(bind,[status(th)],[])).
% 24.42/15.82 tff(1980,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(quant_intro,[status(thm)],[1979])).
% 24.42/15.82 tff(1981,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1982,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 24.42/15.82 tff(1983,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 24.42/15.82 tff(1984,plain,(
% 24.42/15.82 ![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(skolemize,[status(sab)],[1983])).
% 24.42/15.82 tff(1985,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1984, 1980])).
% 24.42/15.82 tff(1986,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB13)) | (~v84(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB13)) | (~v84(constB13, bitIndex2)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1987,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB13)) | (~v84(constB13, bitIndex2)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(1988,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB13)) | (~v84(constB13, bitIndex2))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 24.42/15.82 tff(1989,plain,
% 24.42/15.82 (~v116(constB13)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1988, 1985, 1810])).
% 24.42/15.82 tff(1990,plain,
% 24.42/15.82 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 24.42/15.82 inference(bind,[status(th)],[])).
% 24.42/15.82 tff(1991,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(quant_intro,[status(thm)],[1990])).
% 24.42/15.82 tff(1992,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1993,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 24.42/15.82 tff(1994,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1993, 1992])).
% 24.42/15.82 tff(1995,plain,(
% 24.42/15.82 ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(skolemize,[status(sab)],[1994])).
% 24.42/15.82 tff(1996,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1995, 1991])).
% 24.42/15.82 tff(1997,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB13)) | (~v84(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB13)) | (~v84(constB13, bitIndex1)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(1998,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB13)) | (~v84(constB13, bitIndex1)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(1999,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB13)) | (~v84(constB13, bitIndex1))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 24.42/15.82 tff(2000,plain,
% 24.42/15.82 (~v113(constB13)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[1999, 1996, 1848])).
% 24.42/15.82 tff(2001,plain,
% 24.42/15.82 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 24.42/15.82 inference(bind,[status(th)],[])).
% 24.42/15.82 tff(2002,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(quant_intro,[status(thm)],[2001])).
% 24.42/15.82 tff(2003,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2004,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 24.42/15.82 tff(2005,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2004, 2003])).
% 24.42/15.82 tff(2006,plain,(
% 24.42/15.82 ![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(skolemize,[status(sab)],[2005])).
% 24.42/15.82 tff(2007,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2006, 2002])).
% 24.42/15.82 tff(2008,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB13)) | (~v84(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB13)) | (~v84(constB13, bitIndex1)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2009,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB13)) | (~v84(constB13, bitIndex1)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(2010,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB13)) | (~v84(constB13, bitIndex1))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 24.42/15.82 tff(2011,plain,
% 24.42/15.82 (~v118(constB13)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2010, 2007, 1848])).
% 24.42/15.82 tff(2012,plain,
% 24.42/15.82 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 24.42/15.82 inference(bind,[status(th)],[])).
% 24.42/15.82 tff(2013,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(quant_intro,[status(thm)],[2012])).
% 24.42/15.82 tff(2014,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2015,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 24.42/15.82 tff(2016,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 24.42/15.82 tff(2017,plain,(
% 24.42/15.82 ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(skolemize,[status(sab)],[2016])).
% 24.42/15.82 tff(2018,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2017, 2013])).
% 24.42/15.82 tff(2019,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB13)) | (~v84(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB13)) | (~v84(constB13, bitIndex1)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2020,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB13)) | (~v84(constB13, bitIndex1)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(2021,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB13)) | (~v84(constB13, bitIndex1))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2020, 2019])).
% 24.42/15.82 tff(2022,plain,
% 24.42/15.82 (~v145(constB13)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2021, 2018, 1848])).
% 24.42/15.82 tff(2023,plain,
% 24.42/15.82 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 24.42/15.82 inference(bind,[status(th)],[])).
% 24.42/15.82 tff(2024,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(quant_intro,[status(thm)],[2023])).
% 24.42/15.82 tff(2025,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2026,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 24.42/15.82 tff(2027,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2026, 2025])).
% 24.42/15.82 tff(2028,plain,(
% 24.42/15.82 ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(skolemize,[status(sab)],[2027])).
% 24.42/15.82 tff(2029,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2028, 2024])).
% 24.42/15.82 tff(2030,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB13)) | (~v84(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB13)) | (~v84(constB13, bitIndex1)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2031,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB13)) | (~v84(constB13, bitIndex1)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(2032,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB13)) | (~v84(constB13, bitIndex1))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 24.42/15.82 tff(2033,plain,
% 24.42/15.82 (~v172(constB13)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2032, 2029, 1848])).
% 24.42/15.82 tff(2034,plain,
% 24.42/15.82 (^[VarCurr: state_type] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))))),
% 24.42/15.82 inference(bind,[status(th)],[])).
% 24.42/15.82 tff(2035,plain,
% 24.42/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(quant_intro,[status(thm)],[2034])).
% 24.42/15.82 tff(2036,plain,
% 24.42/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2037,plain,
% 24.42/15.82 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))))),
% 24.42/15.82 inference(bind,[status(th)],[])).
% 24.42/15.82 tff(2038,plain,
% 24.42/15.82 (![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(quant_intro,[status(thm)],[2037])).
% 24.42/15.82 tff(2039,axiom,(![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_3')).
% 24.42/15.82 tff(2040,plain,
% 24.42/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2039, 2038])).
% 24.42/15.82 tff(2041,plain,
% 24.42/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2040, 2036])).
% 24.42/15.82 tff(2042,plain,(
% 24.42/15.82 ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(skolemize,[status(sab)],[2041])).
% 24.42/15.82 tff(2043,plain,
% 24.42/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2042, 2035])).
% 24.42/15.82 tff(2044,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | (~v124(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | (~v124(constB13, bitIndex2)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2045,plain,
% 24.42/15.82 ((v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex2))) <=> (v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | (~v124(constB13, bitIndex2)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2046,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | (~v124(constB13, bitIndex2))))),
% 24.42/15.82 inference(monotonicity,[status(thm)],[2045])).
% 24.42/15.82 tff(2047,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | (~v124(constB13, bitIndex2)))),
% 24.42/15.82 inference(transitivity,[status(thm)],[2046, 2044])).
% 24.42/15.82 tff(2048,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex2)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(2049,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | (~v124(constB13, bitIndex2))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 24.42/15.82 tff(2050,plain,
% 24.42/15.82 (~v124(constB13, bitIndex2)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2049, 2043, 2033, 2022, 2011, 2000, 1989, 1978])).
% 24.42/15.82 tff(2051,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2052,plain,
% 24.42/15.82 ((v26(constB13) | v124(constB13, bitIndex2) | (~v121(constB13, bitIndex2))) <=> ((~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2053,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB13) | v124(constB13, bitIndex2) | (~v121(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2)))),
% 24.42/15.82 inference(monotonicity,[status(thm)],[2052])).
% 24.42/15.82 tff(2054,plain,
% 24.42/15.82 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB13) | v124(constB13, bitIndex2) | (~v121(constB13, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2))),
% 24.42/15.82 inference(transitivity,[status(thm)],[2053, 2051])).
% 24.42/15.82 tff(2055,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB13) | v124(constB13, bitIndex2) | (~v121(constB13, bitIndex2)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(2056,plain,
% 24.42/15.82 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB13, bitIndex2)) | v26(constB13) | v124(constB13, bitIndex2)),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2055, 2054])).
% 24.42/15.82 tff(2057,plain,
% 24.42/15.82 ((~v121(constB13, bitIndex2)) | v124(constB13, bitIndex2)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2056, 390, 1918])).
% 24.42/15.82 tff(2058,plain,
% 24.42/15.82 (~v121(constB13, bitIndex2)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2057, 2050])).
% 24.42/15.82 tff(2059,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2060,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(2061,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 24.42/15.82 tff(2062,plain,
% 24.42/15.82 (v121(constB13, bitIndex2) | (~v123(constB14, bitIndex2))),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2061, 408, 1933])).
% 24.42/15.82 tff(2063,plain,
% 24.42/15.82 (~v123(constB14, bitIndex2)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2062, 2058])).
% 24.42/15.82 tff(2064,plain,
% 24.42/15.82 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2065,plain,
% 24.42/15.82 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(2066,plain,
% 24.42/15.82 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2) | (~v94(constB14))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 24.42/15.82 tff(2067,plain,
% 24.42/15.82 ((~v84(constB14, bitIndex2)) | (~v94(constB14))),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2066, 423, 2063])).
% 24.42/15.82 tff(2068,plain,
% 24.42/15.82 (~v84(constB14, bitIndex2)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2067, 1967])).
% 24.42/15.82 tff(2069,plain,
% 24.42/15.82 ((~v1(constB15)) <=> (~v1(constB15))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2070,axiom,(~v1(constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_15_1_1')).
% 24.42/15.82 tff(2071,plain,
% 24.42/15.82 (~v1(constB15)),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2070, 2069])).
% 24.42/15.82 tff(2072,plain,
% 24.42/15.82 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2073,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_14_1')).
% 24.42/15.82 tff(2074,plain,
% 24.42/15.82 (nextState(constB14, constB15)),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 24.42/15.82 tff(2075,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2076,plain,
% 24.42/15.82 (((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15)) <=> (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2077,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15))))),
% 24.42/15.82 inference(monotonicity,[status(thm)],[2076])).
% 24.42/15.82 tff(2078,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15)))),
% 24.42/15.82 inference(transitivity,[status(thm)],[2077, 2075])).
% 24.42/15.82 tff(2079,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB14, constB15)) | (~v95(constB15)) | v1(constB15))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(2080,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB15) | (~nextState(constB14, constB15)) | (~v95(constB15))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 24.42/15.82 tff(2081,plain,
% 24.42/15.82 (~v95(constB15)),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2080, 73, 2074, 2071])).
% 24.42/15.82 tff(2082,plain,
% 24.42/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))),
% 24.42/15.82 inference(rewrite,[status(thm)],[])).
% 24.42/15.82 tff(2083,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15)))),
% 24.42/15.82 inference(quant_inst,[status(thm)],[])).
% 24.42/15.82 tff(2084,plain,
% 24.42/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB14, constB15)) | v95(constB15) | (~v94(constB15))),
% 24.42/15.82 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 24.42/15.82 tff(2085,plain,
% 24.42/15.82 (v95(constB15) | (~v94(constB15))),
% 24.42/15.82 inference(unit_resolution,[status(thm)],[2084, 90, 2074])).
% 24.51/15.82 tff(2086,plain,
% 24.51/15.82 (~v94(constB15)),
% 24.51/15.82 inference(unit_resolution,[status(thm)],[2085, 2081])).
% 24.51/15.82 tff(2087,plain,
% 24.51/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2)))),
% 24.51/15.82 inference(rewrite,[status(thm)],[])).
% 24.51/15.82 tff(2088,plain,
% 24.51/15.82 (((~nextState(constB14, constB15)) | v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2))) <=> (v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2)))),
% 24.51/15.82 inference(rewrite,[status(thm)],[])).
% 24.51/15.82 tff(2089,plain,
% 24.51/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2))))),
% 24.51/15.82 inference(monotonicity,[status(thm)],[2088])).
% 24.51/15.82 tff(2090,plain,
% 24.51/15.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2)))),
% 24.51/15.82 inference(transitivity,[status(thm)],[2089, 2087])).
% 24.51/15.82 tff(2091,plain,
% 24.51/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2)))),
% 24.51/15.82 inference(quant_inst,[status(thm)],[])).
% 24.51/15.82 tff(2092,plain,
% 24.51/15.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB14, bitIndex2) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex2))),
% 24.51/15.82 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 24.51/15.82 tff(2093,plain,
% 24.51/15.82 (v84(constB14, bitIndex2) | v94(constB15) | (~v84(constB15, bitIndex2))),
% 24.51/15.82 inference(unit_resolution,[status(thm)],[2092, 105, 2074])).
% 24.51/15.82 tff(2094,plain,
% 24.51/15.82 (v84(constB14, bitIndex2) | (~v84(constB15, bitIndex2))),
% 24.51/15.82 inference(unit_resolution,[status(thm)],[2093, 2086])).
% 24.51/15.82 tff(2095,plain,
% 24.51/15.82 (~v84(constB15, bitIndex2)),
% 24.51/15.82 inference(unit_resolution,[status(thm)],[2094, 2068])).
% 24.51/15.82 tff(2096,plain,
% 24.51/15.82 (^[VarCurr: state_type] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))))),
% 24.51/15.82 inference(bind,[status(th)],[])).
% 24.51/15.82 tff(2097,plain,
% 24.51/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 24.51/15.82 inference(quant_intro,[status(thm)],[2096])).
% 24.51/15.82 tff(2098,plain,
% 24.51/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 24.51/15.82 inference(rewrite,[status(thm)],[])).
% 24.51/15.82 tff(2099,plain,
% 24.51/15.82 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))))),
% 24.51/15.82 inference(bind,[status(th)],[])).
% 24.51/15.82 tff(2100,plain,
% 24.51/15.82 (![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 24.51/15.82 inference(quant_intro,[status(thm)],[2099])).
% 24.51/15.82 tff(2101,axiom,(![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | (~v124(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_2')).
% 24.51/15.82 tff(2102,plain,
% 24.51/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 24.51/15.82 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 24.51/15.82 tff(2103,plain,
% 24.51/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 24.51/15.82 inference(modus_ponens,[status(thm)],[2102, 2098])).
% 24.51/15.82 tff(2104,plain,(
% 24.51/15.82 ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 24.51/15.82 inference(skolemize,[status(sab)],[2103])).
% 24.51/15.82 tff(2105,plain,
% 24.51/15.82 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))),
% 24.51/15.82 inference(modus_ponens,[status(thm)],[2104, 2097])).
% 24.51/15.82 tff(2106,plain,
% 24.51/15.82 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB13, bitIndex1)) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB13, bitIndex1)) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2107,plain,
% 24.51/15.83 ((v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex1))) <=> ((~v124(constB13, bitIndex1)) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2108,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB13, bitIndex1)) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13)))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2107])).
% 24.51/15.83 tff(2109,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB13, bitIndex1)) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2108, 2106])).
% 24.51/15.83 tff(2110,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | (~v124(constB13, bitIndex1)))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2111,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB13, bitIndex1)) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2110, 2109])).
% 24.51/15.83 tff(2112,plain,
% 24.51/15.83 (~v124(constB13, bitIndex1)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2111, 2105, 2033, 2022, 2011, 2000, 1989, 1978])).
% 24.51/15.83 tff(2113,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2114,plain,
% 24.51/15.83 ((v26(constB13) | v124(constB13, bitIndex1) | (~v121(constB13, bitIndex1))) <=> ((~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2115,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB13) | v124(constB13, bitIndex1) | (~v121(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1)))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2114])).
% 24.51/15.83 tff(2116,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB13) | v124(constB13, bitIndex1) | (~v121(constB13, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2115, 2113])).
% 24.51/15.83 tff(2117,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB13) | v124(constB13, bitIndex1) | (~v121(constB13, bitIndex1)))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2118,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB13, bitIndex1)) | v26(constB13) | v124(constB13, bitIndex1)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 24.51/15.83 tff(2119,plain,
% 24.51/15.83 ((~v121(constB13, bitIndex1)) | v124(constB13, bitIndex1)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2118, 476, 1918])).
% 24.51/15.83 tff(2120,plain,
% 24.51/15.83 (~v121(constB13, bitIndex1)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2119, 2112])).
% 24.51/15.83 tff(2121,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2122,plain,
% 24.51/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1)))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2123,plain,
% 24.51/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB13, constB14)) | v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2122, 2121])).
% 24.51/15.83 tff(2124,plain,
% 24.51/15.83 (v121(constB13, bitIndex1) | (~v123(constB14, bitIndex1))),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2123, 494, 1933])).
% 24.51/15.83 tff(2125,plain,
% 24.51/15.83 (~v123(constB14, bitIndex1)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2124, 2120])).
% 24.51/15.83 tff(2126,plain,
% 24.51/15.83 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2127,plain,
% 24.51/15.83 (((~v84(constB14, bitIndex1)) | (~v94(constB14)) | v123(constB14, bitIndex1)) <=> ((~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2128,plain,
% 24.51/15.83 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~v94(constB14)) | v123(constB14, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14))))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2127])).
% 24.51/15.83 tff(2129,plain,
% 24.51/15.83 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~v94(constB14)) | v123(constB14, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14)))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2128, 2126])).
% 24.51/15.83 tff(2130,plain,
% 24.51/15.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB14, bitIndex1)) | (~v94(constB14)) | v123(constB14, bitIndex1))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2131,plain,
% 24.51/15.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1) | (~v94(constB14))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2130, 2129])).
% 24.51/15.83 tff(2132,plain,
% 24.51/15.83 ((~v84(constB14, bitIndex1)) | (~v94(constB14))),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2131, 509, 2125])).
% 24.51/15.83 tff(2133,plain,
% 24.51/15.83 (~v84(constB14, bitIndex1)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2132, 1967])).
% 24.51/15.83 tff(2134,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2135,plain,
% 24.51/15.83 (((~nextState(constB14, constB15)) | v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1))) <=> (v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2136,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1))))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2135])).
% 24.51/15.83 tff(2137,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1)))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2136, 2134])).
% 24.51/15.83 tff(2138,plain,
% 24.51/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB14, constB15)) | v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1)))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2139,plain,
% 24.51/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB14, bitIndex1) | (~nextState(constB14, constB15)) | v94(constB15) | (~v84(constB15, bitIndex1))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 24.51/15.83 tff(2140,plain,
% 24.51/15.83 (v84(constB14, bitIndex1) | v94(constB15) | (~v84(constB15, bitIndex1))),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2139, 126, 2074])).
% 24.51/15.83 tff(2141,plain,
% 24.51/15.83 (v84(constB14, bitIndex1) | (~v84(constB15, bitIndex1))),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2140, 2086])).
% 24.51/15.83 tff(2142,plain,
% 24.51/15.83 (~v84(constB15, bitIndex1)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2141, 2133])).
% 24.51/15.83 tff(2143,plain,
% 24.51/15.83 (^[VarCurr: state_type] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)))),
% 24.51/15.83 inference(bind,[status(th)],[])).
% 24.51/15.83 tff(2144,plain,
% 24.51/15.83 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 24.51/15.83 inference(quant_intro,[status(thm)],[2143])).
% 24.51/15.83 tff(2145,plain,
% 24.51/15.83 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2146,plain,
% 24.51/15.83 (^[VarCurr: state_type] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr))), ((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr))), (((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr))), ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | v124(VarCurr, bitIndex0)))), rewrite(((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))), (((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))))),
% 24.51/15.83 inference(bind,[status(th)],[])).
% 24.51/15.83 tff(2147,plain,
% 24.51/15.83 (![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | v124(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 24.51/15.83 inference(quant_intro,[status(thm)],[2146])).
% 24.51/15.83 tff(2148,axiom,(![VarCurr: state_type] : ((((((v113(VarCurr) | v145(VarCurr)) | v115(VarCurr)) | v116(VarCurr)) | v172(VarCurr)) | v118(VarCurr)) | v124(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_1')).
% 24.51/15.83 tff(2149,plain,
% 24.51/15.83 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2148, 2147])).
% 24.51/15.83 tff(2150,plain,
% 24.51/15.83 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2149, 2145])).
% 24.51/15.83 tff(2151,plain,(
% 24.51/15.83 ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 24.51/15.83 inference(skolemize,[status(sab)],[2150])).
% 24.51/15.83 tff(2152,plain,
% 24.51/15.83 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2151, 2144])).
% 24.51/15.83 tff(2153,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | v124(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | v124(constB13, bitIndex0))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2154,plain,
% 24.51/15.83 ((v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | v124(constB13, bitIndex0)) <=> (v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | v124(constB13, bitIndex0))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2155,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | v124(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | v124(constB13, bitIndex0)))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2154])).
% 24.51/15.83 tff(2156,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | v124(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | v124(constB13, bitIndex0))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2155, 2153])).
% 24.51/15.83 tff(2157,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB13) | v145(constB13) | v115(constB13) | v116(constB13) | v172(constB13) | v118(constB13) | v124(constB13, bitIndex0))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2158,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB13) | v145(constB13) | v118(constB13) | v116(constB13) | v115(constB13) | v113(constB13) | v124(constB13, bitIndex0)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2157, 2156])).
% 24.51/15.83 tff(2159,plain,
% 24.51/15.83 (v124(constB13, bitIndex0)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2158, 2152, 2033, 2022, 2011, 2000, 1989, 1978])).
% 24.51/15.83 tff(2160,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB13) | (~v124(constB13, bitIndex0)) | v121(constB13, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB13) | (~v124(constB13, bitIndex0)) | v121(constB13, bitIndex0))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2161,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB13) | (~v124(constB13, bitIndex0)) | v121(constB13, bitIndex0))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2162,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB13) | (~v124(constB13, bitIndex0)) | v121(constB13, bitIndex0)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2161, 2160])).
% 24.51/15.83 tff(2163,plain,
% 24.51/15.83 ((~v124(constB13, bitIndex0)) | v121(constB13, bitIndex0)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2162, 547, 1918])).
% 24.51/15.83 tff(2164,plain,
% 24.51/15.83 (v121(constB13, bitIndex0)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2163, 2159])).
% 24.51/15.83 tff(2165,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2166,plain,
% 24.51/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2167,plain,
% 24.51/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB13, constB14)) | (~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 24.51/15.83 tff(2168,plain,
% 24.51/15.83 ((~v121(constB13, bitIndex0)) | v123(constB14, bitIndex0)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2167, 562, 1933])).
% 24.51/15.83 tff(2169,plain,
% 24.51/15.83 (v123(constB14, bitIndex0)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2168, 2164])).
% 24.51/15.83 tff(2170,plain,
% 24.51/15.83 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2171,plain,
% 24.51/15.83 ((v84(constB14, bitIndex0) | (~v94(constB14)) | (~v123(constB14, bitIndex0))) <=> (v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2172,plain,
% 24.51/15.83 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v94(constB14)) | (~v123(constB14, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14))))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2171])).
% 24.51/15.83 tff(2173,plain,
% 24.51/15.83 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v94(constB14)) | (~v123(constB14, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14)))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2172, 2170])).
% 24.51/15.83 tff(2174,plain,
% 24.51/15.83 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB14, bitIndex0) | (~v94(constB14)) | (~v123(constB14, bitIndex0)))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2175,plain,
% 24.51/15.83 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0)) | (~v94(constB14))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2174, 2173])).
% 24.51/15.83 tff(2176,plain,
% 24.51/15.83 (v84(constB14, bitIndex0) | (~v94(constB14))),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2175, 577, 2169])).
% 24.51/15.83 tff(2177,plain,
% 24.51/15.83 (v84(constB14, bitIndex0)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2176, 1967])).
% 24.51/15.83 tff(2178,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2179,plain,
% 24.51/15.83 (((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0)) <=> ((~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2180,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0)))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2179])).
% 24.51/15.83 tff(2181,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2180, 2178])).
% 24.51/15.83 tff(2182,plain,
% 24.51/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB14, constB15)) | (~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2183,plain,
% 24.51/15.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB14, bitIndex0)) | (~nextState(constB14, constB15)) | v94(constB15) | v84(constB15, bitIndex0)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 24.51/15.83 tff(2184,plain,
% 24.51/15.83 ((~v84(constB14, bitIndex0)) | v94(constB15) | v84(constB15, bitIndex0)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2183, 595, 2074])).
% 24.51/15.83 tff(2185,plain,
% 24.51/15.83 ((~v84(constB14, bitIndex0)) | v84(constB15, bitIndex0)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2184, 2086])).
% 24.51/15.83 tff(2186,plain,
% 24.51/15.83 (v84(constB15, bitIndex0)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2185, 2177])).
% 24.51/15.83 tff(2187,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB15, bitIndex0)) | v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | v145(constB15))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB15, bitIndex0)) | v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | v145(constB15))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2188,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB15, bitIndex0)) | v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | v145(constB15))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2189,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB15, bitIndex0)) | v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | v145(constB15)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 24.51/15.83 tff(2190,plain,
% 24.51/15.83 (v145(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2189, 614, 2186, 2142, 2095])).
% 24.51/15.83 tff(2191,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB15) | (~v145(constB15)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB15) | (~v145(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2192,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB15) | (~v145(constB15)))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2193,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB15) | (~v145(constB15))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 24.51/15.83 tff(2194,plain,
% 24.51/15.83 (v112(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2193, 677, 2190])).
% 24.51/15.83 tff(2195,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB15)) | v111(constB15))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB15)) | v111(constB15))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2196,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB15)) | v111(constB15))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2197,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB15)) | v111(constB15)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 24.51/15.83 tff(2198,plain,
% 24.51/15.83 (v111(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2197, 193, 2194])).
% 24.51/15.83 tff(2199,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB15) | (~v111(constB15)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB15) | (~v111(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2200,plain,
% 24.51/15.83 (((~v111(constB15)) | v110(constB15)) <=> (v110(constB15) | (~v111(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2201,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB15)) | v110(constB15))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB15) | (~v111(constB15))))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2200])).
% 24.51/15.83 tff(2202,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB15)) | v110(constB15))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB15) | (~v111(constB15)))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2201, 2199])).
% 24.51/15.83 tff(2203,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB15)) | v110(constB15))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2204,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB15) | (~v111(constB15))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2203, 2202])).
% 24.51/15.83 tff(2205,plain,
% 24.51/15.83 (v110(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2204, 207, 2198])).
% 24.51/15.83 tff(2206,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB15) | (~v110(constB15)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB15) | (~v110(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2207,plain,
% 24.51/15.83 (((~v110(constB15)) | v109(constB15)) <=> (v109(constB15) | (~v110(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2208,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB15)) | v109(constB15))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB15) | (~v110(constB15))))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2207])).
% 24.51/15.83 tff(2209,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB15)) | v109(constB15))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB15) | (~v110(constB15)))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2208, 2206])).
% 24.51/15.83 tff(2210,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB15)) | v109(constB15))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2211,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB15) | (~v110(constB15))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2210, 2209])).
% 24.51/15.83 tff(2212,plain,
% 24.51/15.83 (v109(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2211, 221, 2205])).
% 24.51/15.83 tff(2213,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB15)) | v108(constB15))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB15)) | v108(constB15))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2214,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB15)) | v108(constB15))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2215,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB15)) | v108(constB15)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2214, 2213])).
% 24.51/15.83 tff(2216,plain,
% 24.51/15.83 (v108(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2215, 235, 2212])).
% 24.51/15.83 tff(2217,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB15) | (~v108(constB15)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB15) | (~v108(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2218,plain,
% 24.51/15.83 (((~v108(constB15)) | v107(constB15)) <=> (v107(constB15) | (~v108(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2219,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB15)) | v107(constB15))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB15) | (~v108(constB15))))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2218])).
% 24.51/15.83 tff(2220,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB15)) | v107(constB15))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB15) | (~v108(constB15)))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2219, 2217])).
% 24.51/15.83 tff(2221,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB15)) | v107(constB15))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2222,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB15) | (~v108(constB15))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2221, 2220])).
% 24.51/15.83 tff(2223,plain,
% 24.51/15.83 (v107(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2222, 249, 2216])).
% 24.51/15.83 tff(2224,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB15) | (~v107(constB15)) | v106(constB15))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB15) | (~v107(constB15)) | v106(constB15))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2225,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB15) | (~v107(constB15)) | v106(constB15))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2226,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB15) | (~v107(constB15)) | v106(constB15)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2225, 2224])).
% 24.51/15.83 tff(2227,plain,
% 24.51/15.83 (v26(constB15) | v106(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2226, 263, 2223])).
% 24.51/15.83 tff(2228,plain,
% 24.51/15.83 (v106(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2227, 33])).
% 24.51/15.83 tff(2229,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB15) | (~v106(constB15)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB15) | (~v106(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2230,plain,
% 24.51/15.83 (((~v106(constB15)) | v102(constB15)) <=> (v102(constB15) | (~v106(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2231,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB15)) | v102(constB15))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB15) | (~v106(constB15))))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2230])).
% 24.51/15.83 tff(2232,plain,
% 24.51/15.83 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB15)) | v102(constB15))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB15) | (~v106(constB15)))),
% 24.51/15.83 inference(transitivity,[status(thm)],[2231, 2229])).
% 24.51/15.83 tff(2233,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB15)) | v102(constB15))),
% 24.51/15.83 inference(quant_inst,[status(thm)],[])).
% 24.51/15.83 tff(2234,plain,
% 24.51/15.83 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB15) | (~v106(constB15))),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2233, 2232])).
% 24.51/15.83 tff(2235,plain,
% 24.51/15.83 (v102(constB15)),
% 24.51/15.83 inference(unit_resolution,[status(thm)],[2234, 275, 2228])).
% 24.51/15.83 tff(2236,plain,
% 24.51/15.83 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2237,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_15_1')).
% 24.51/15.83 tff(2238,plain,
% 24.51/15.83 (nextState(constB15, constB16)),
% 24.51/15.83 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 24.51/15.83 tff(2239,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2240,plain,
% 24.51/15.83 (((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16)) <=> ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 24.51/15.83 inference(rewrite,[status(thm)],[])).
% 24.51/15.83 tff(2241,plain,
% 24.51/15.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15))))),
% 24.51/15.83 inference(monotonicity,[status(thm)],[2240])).
% 24.51/15.84 tff(2242,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15)))),
% 24.51/15.84 inference(transitivity,[status(thm)],[2241, 2239])).
% 24.51/15.84 tff(2243,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB15, constB16)) | (~v102(constB15)) | v104(constB16))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2244,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB15, constB16)) | v104(constB16) | (~v102(constB15))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2243, 2242])).
% 24.51/15.84 tff(2245,plain,
% 24.51/15.84 (v104(constB16) | (~v102(constB15))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2244, 295, 2238])).
% 24.51/15.84 tff(2246,plain,
% 24.51/15.84 (v104(constB16)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2245, 2235])).
% 24.51/15.84 tff(2247,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2248,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2249,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB15) | (~nextState(constB15, constB16)) | (~v98(constB16))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2248, 2247])).
% 24.51/15.84 tff(2250,plain,
% 24.51/15.84 (~v98(constB16)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2249, 313, 2238, 2071])).
% 24.51/15.84 tff(2251,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2252,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB15, constB16)) | v96(constB16) | v98(constB16))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2253,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB15, constB16)) | v96(constB16) | v98(constB16)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2252, 2251])).
% 24.51/15.84 tff(2254,plain,
% 24.51/15.84 (v96(constB16) | v98(constB16)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2253, 327, 2238])).
% 24.51/15.84 tff(2255,plain,
% 24.51/15.84 (v96(constB16)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2254, 2250])).
% 24.51/15.84 tff(2256,plain,
% 24.51/15.84 (v1(constB16) <=> v1(constB16)),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2257,axiom,(v1(constB16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_16_1')).
% 24.51/15.84 tff(2258,plain,
% 24.51/15.84 (v1(constB16)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 24.51/15.84 tff(2259,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2260,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2261,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB15, constB16)) | v95(constB16) | (~v96(constB16)) | (~v1(constB16))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2260, 2259])).
% 24.51/15.84 tff(2262,plain,
% 24.51/15.84 (v95(constB16) | (~v96(constB16))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2261, 345, 2238, 2258])).
% 24.51/15.84 tff(2263,plain,
% 24.51/15.84 (v95(constB16)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2262, 2255])).
% 24.51/15.84 tff(2264,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2265,plain,
% 24.51/15.84 (((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16)) <=> ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2266,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16))))),
% 24.51/15.84 inference(monotonicity,[status(thm)],[2265])).
% 24.51/15.84 tff(2267,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16)))),
% 24.51/15.84 inference(transitivity,[status(thm)],[2266, 2264])).
% 24.51/15.84 tff(2268,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB15, constB16)) | (~v95(constB16)) | (~v104(constB16)) | v94(constB16))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2269,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB15, constB16)) | v94(constB16) | (~v95(constB16)) | (~v104(constB16))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2268, 2267])).
% 24.51/15.84 tff(2270,plain,
% 24.51/15.84 (v94(constB16) | (~v95(constB16)) | (~v104(constB16))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2269, 360, 2238])).
% 24.51/15.84 tff(2271,plain,
% 24.51/15.84 (v94(constB16) | (~v104(constB16))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2270, 2263])).
% 24.51/15.84 tff(2272,plain,
% 24.51/15.84 (v94(constB16)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2271, 2246])).
% 24.51/15.84 tff(2273,assumption,(v121(constB15, bitIndex2)), introduced(assumption)).
% 24.51/15.84 tff(2274,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB15)) | (~v124(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB15)) | (~v124(constB15, bitIndex2)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2275,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB15)) | (~v124(constB15, bitIndex2)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2276,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB15)) | (~v124(constB15, bitIndex2))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2275, 2274])).
% 24.51/15.84 tff(2277,plain,
% 24.51/15.84 (~v124(constB15, bitIndex2)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2276, 625, 2190])).
% 24.51/15.84 tff(2278,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2279,plain,
% 24.51/15.84 ((v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2))) <=> ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2280,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2)))),
% 24.51/15.84 inference(monotonicity,[status(thm)],[2279])).
% 24.51/15.84 tff(2281,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2))),
% 24.51/15.84 inference(transitivity,[status(thm)],[2280, 2278])).
% 24.51/15.84 tff(2282,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB15) | v124(constB15, bitIndex2) | (~v121(constB15, bitIndex2)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2283,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB15, bitIndex2)) | v26(constB15) | v124(constB15, bitIndex2)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 24.51/15.84 tff(2284,plain,
% 24.51/15.84 ((~v121(constB15, bitIndex2)) | v26(constB15)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2283, 390, 2277])).
% 24.51/15.84 tff(2285,plain,
% 24.51/15.84 (v26(constB15)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2284, 2273])).
% 24.51/15.84 tff(2286,plain,
% 24.51/15.84 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))))),
% 24.51/15.84 inference(bind,[status(th)],[])).
% 24.51/15.84 tff(2287,plain,
% 24.51/15.84 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 24.51/15.84 inference(quant_intro,[status(thm)],[2286])).
% 24.51/15.84 tff(2288,plain,
% 24.51/15.84 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2289,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_3')).
% 24.51/15.84 tff(2290,plain,
% 24.51/15.84 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 24.51/15.84 tff(2291,plain,(
% 24.51/15.84 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 24.51/15.84 inference(skolemize,[status(sab)],[2290])).
% 24.51/15.84 tff(2292,plain,
% 24.51/15.84 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2291, 2287])).
% 24.51/15.84 tff(2293,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB15)) | (~v121(constB15, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB15)) | (~v121(constB15, bitIndex2)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2294,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB15)) | (~v121(constB15, bitIndex2)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2295,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB15)) | (~v121(constB15, bitIndex2))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2294, 2293])).
% 24.51/15.84 tff(2296,plain,
% 24.51/15.84 ($false),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2295, 2292, 2273, 2285])).
% 24.51/15.84 tff(2297,plain,(~v121(constB15, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.51/15.84 tff(2298,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2299,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2300,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 24.51/15.84 tff(2301,plain,
% 24.51/15.84 (v121(constB15, bitIndex2) | (~v123(constB16, bitIndex2))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2300, 408, 2238])).
% 24.51/15.84 tff(2302,plain,
% 24.51/15.84 (~v123(constB16, bitIndex2)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2301, 2297])).
% 24.51/15.84 tff(2303,plain,
% 24.51/15.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2304,plain,
% 24.51/15.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2305,plain,
% 24.51/15.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2) | (~v94(constB16))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2304, 2303])).
% 24.51/15.84 tff(2306,plain,
% 24.51/15.84 ((~v84(constB16, bitIndex2)) | (~v94(constB16))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2305, 423, 2302])).
% 24.51/15.84 tff(2307,plain,
% 24.51/15.84 (~v84(constB16, bitIndex2)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2306, 2272])).
% 24.51/15.84 tff(2308,plain,
% 24.51/15.84 ((~v1(constB17)) <=> (~v1(constB17))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2309,axiom,(~v1(constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_17_1_1')).
% 24.51/15.84 tff(2310,plain,
% 24.51/15.84 (~v1(constB17)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 24.51/15.84 tff(2311,plain,
% 24.51/15.84 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2312,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_16_1')).
% 24.51/15.84 tff(2313,plain,
% 24.51/15.84 (nextState(constB16, constB17)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2312, 2311])).
% 24.51/15.84 tff(2314,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2315,plain,
% 24.51/15.84 (((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17)) <=> (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2316,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17))))),
% 24.51/15.84 inference(monotonicity,[status(thm)],[2315])).
% 24.51/15.84 tff(2317,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17)))),
% 24.51/15.84 inference(transitivity,[status(thm)],[2316, 2314])).
% 24.51/15.84 tff(2318,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB16, constB17)) | (~v95(constB17)) | v1(constB17))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2319,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB17) | (~nextState(constB16, constB17)) | (~v95(constB17))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 24.51/15.84 tff(2320,plain,
% 24.51/15.84 (~v95(constB17)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2319, 73, 2313, 2310])).
% 24.51/15.84 tff(2321,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2322,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2323,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB16, constB17)) | v95(constB17) | (~v94(constB17))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 24.51/15.84 tff(2324,plain,
% 24.51/15.84 (v95(constB17) | (~v94(constB17))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2323, 90, 2313])).
% 24.51/15.84 tff(2325,plain,
% 24.51/15.84 (~v94(constB17)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2324, 2320])).
% 24.51/15.84 tff(2326,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2327,plain,
% 24.51/15.84 (((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2))) <=> (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2328,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2))))),
% 24.51/15.84 inference(monotonicity,[status(thm)],[2327])).
% 24.51/15.84 tff(2329,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 24.51/15.84 inference(transitivity,[status(thm)],[2328, 2326])).
% 24.51/15.84 tff(2330,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2331,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB16, bitIndex2) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex2))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2330, 2329])).
% 24.51/15.84 tff(2332,plain,
% 24.51/15.84 (v84(constB16, bitIndex2) | v94(constB17) | (~v84(constB17, bitIndex2))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2331, 105, 2313])).
% 24.51/15.84 tff(2333,plain,
% 24.51/15.84 (v84(constB16, bitIndex2) | (~v84(constB17, bitIndex2))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2332, 2325])).
% 24.51/15.84 tff(2334,plain,
% 24.51/15.84 (~v84(constB17, bitIndex2)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2333, 2307])).
% 24.51/15.84 tff(2335,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB15)) | v124(constB15, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB15)) | v124(constB15, bitIndex1))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2336,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB15)) | v124(constB15, bitIndex1))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2337,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB15)) | v124(constB15, bitIndex1)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 24.51/15.84 tff(2338,plain,
% 24.51/15.84 (v124(constB15, bitIndex1)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2337, 798, 2190])).
% 24.51/15.84 tff(2339,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB15) | (~v124(constB15, bitIndex1)) | v121(constB15, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB15) | (~v124(constB15, bitIndex1)) | v121(constB15, bitIndex1))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2340,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB15) | (~v124(constB15, bitIndex1)) | v121(constB15, bitIndex1))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2341,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB15) | (~v124(constB15, bitIndex1)) | v121(constB15, bitIndex1)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2340, 2339])).
% 24.51/15.84 tff(2342,plain,
% 24.51/15.84 (v26(constB15) | v121(constB15, bitIndex1)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2341, 812, 2338])).
% 24.51/15.84 tff(2343,plain,
% 24.51/15.84 (v121(constB15, bitIndex1)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2342, 33])).
% 24.51/15.84 tff(2344,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2345,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2346,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB15, constB16)) | (~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 24.51/15.84 tff(2347,plain,
% 24.51/15.84 ((~v121(constB15, bitIndex1)) | v123(constB16, bitIndex1)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2346, 827, 2238])).
% 24.51/15.84 tff(2348,plain,
% 24.51/15.84 (v123(constB16, bitIndex1)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2347, 2343])).
% 24.51/15.84 tff(2349,plain,
% 24.51/15.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2350,plain,
% 24.51/15.84 ((v84(constB16, bitIndex1) | (~v94(constB16)) | (~v123(constB16, bitIndex1))) <=> (v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2351,plain,
% 24.51/15.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v94(constB16)) | (~v123(constB16, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16))))),
% 24.51/15.84 inference(monotonicity,[status(thm)],[2350])).
% 24.51/15.84 tff(2352,plain,
% 24.51/15.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v94(constB16)) | (~v123(constB16, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16)))),
% 24.51/15.84 inference(transitivity,[status(thm)],[2351, 2349])).
% 24.51/15.84 tff(2353,plain,
% 24.51/15.84 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB16, bitIndex1) | (~v94(constB16)) | (~v123(constB16, bitIndex1)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2354,plain,
% 24.51/15.84 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1)) | (~v94(constB16))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2353, 2352])).
% 24.51/15.84 tff(2355,plain,
% 24.51/15.84 (v84(constB16, bitIndex1) | (~v94(constB16))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2354, 842, 2348])).
% 24.51/15.84 tff(2356,plain,
% 24.51/15.84 (v84(constB16, bitIndex1)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2355, 2272])).
% 24.51/15.84 tff(2357,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2358,plain,
% 24.51/15.84 (((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1)) <=> ((~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2359,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1)))),
% 24.51/15.84 inference(monotonicity,[status(thm)],[2358])).
% 24.51/15.84 tff(2360,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1))),
% 24.51/15.84 inference(transitivity,[status(thm)],[2359, 2357])).
% 24.51/15.84 tff(2361,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB16, constB17)) | (~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2362,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB16, bitIndex1)) | (~nextState(constB16, constB17)) | v94(constB17) | v84(constB17, bitIndex1)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2361, 2360])).
% 24.51/15.84 tff(2363,plain,
% 24.51/15.84 ((~v84(constB16, bitIndex1)) | v94(constB17) | v84(constB17, bitIndex1)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2362, 860, 2313])).
% 24.51/15.84 tff(2364,plain,
% 24.51/15.84 ((~v84(constB16, bitIndex1)) | v84(constB17, bitIndex1)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2363, 2325])).
% 24.51/15.84 tff(2365,plain,
% 24.51/15.84 (v84(constB17, bitIndex1)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2364, 2356])).
% 24.51/15.84 tff(2366,assumption,(v121(constB15, bitIndex0)), introduced(assumption)).
% 24.51/15.84 tff(2367,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB15)) | (~v124(constB15, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB15)) | (~v124(constB15, bitIndex0)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2368,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB15)) | (~v124(constB15, bitIndex0)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2369,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB15)) | (~v124(constB15, bitIndex0))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 24.51/15.84 tff(2370,plain,
% 24.51/15.84 (~v124(constB15, bitIndex0)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2369, 876, 2190])).
% 24.51/15.84 tff(2371,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2372,plain,
% 24.51/15.84 ((v26(constB15) | v124(constB15, bitIndex0) | (~v121(constB15, bitIndex0))) <=> ((~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2373,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB15) | v124(constB15, bitIndex0) | (~v121(constB15, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0)))),
% 24.51/15.84 inference(monotonicity,[status(thm)],[2372])).
% 24.51/15.84 tff(2374,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB15) | v124(constB15, bitIndex0) | (~v121(constB15, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0))),
% 24.51/15.84 inference(transitivity,[status(thm)],[2373, 2371])).
% 24.51/15.84 tff(2375,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB15) | v124(constB15, bitIndex0) | (~v121(constB15, bitIndex0)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2376,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB15, bitIndex0)) | v26(constB15) | v124(constB15, bitIndex0)),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 24.51/15.84 tff(2377,plain,
% 24.51/15.84 ((~v121(constB15, bitIndex0)) | v26(constB15)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2376, 890, 2370])).
% 24.51/15.84 tff(2378,plain,
% 24.51/15.84 (v26(constB15)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2377, 2366])).
% 24.51/15.84 tff(2379,plain,
% 24.51/15.84 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))))),
% 24.51/15.84 inference(bind,[status(th)],[])).
% 24.51/15.84 tff(2380,plain,
% 24.51/15.84 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 24.51/15.84 inference(quant_intro,[status(thm)],[2379])).
% 24.51/15.84 tff(2381,plain,
% 24.51/15.84 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2382,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 24.51/15.84 tff(2383,plain,
% 24.51/15.84 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2382, 2381])).
% 24.51/15.84 tff(2384,plain,(
% 24.51/15.84 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 24.51/15.84 inference(skolemize,[status(sab)],[2383])).
% 24.51/15.84 tff(2385,plain,
% 24.51/15.84 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2384, 2380])).
% 24.51/15.84 tff(2386,plain,
% 24.51/15.84 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB15)) | (~v121(constB15, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB15)) | (~v121(constB15, bitIndex0)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2387,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB15)) | (~v121(constB15, bitIndex0)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2388,plain,
% 24.51/15.84 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB15)) | (~v121(constB15, bitIndex0))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 24.51/15.84 tff(2389,plain,
% 24.51/15.84 ($false),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2388, 2385, 2366, 2378])).
% 24.51/15.84 tff(2390,plain,(~v121(constB15, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.51/15.84 tff(2391,plain,
% 24.51/15.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2392,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0)))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2393,plain,
% 24.51/15.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB15, constB16)) | v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 24.51/15.84 tff(2394,plain,
% 24.51/15.84 (v121(constB15, bitIndex0) | (~v123(constB16, bitIndex0))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2393, 908, 2238])).
% 24.51/15.84 tff(2395,plain,
% 24.51/15.84 (~v123(constB16, bitIndex0)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2394, 2390])).
% 24.51/15.84 tff(2396,plain,
% 24.51/15.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2397,plain,
% 24.51/15.84 (((~v84(constB16, bitIndex0)) | (~v94(constB16)) | v123(constB16, bitIndex0)) <=> ((~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16)))),
% 24.51/15.84 inference(rewrite,[status(thm)],[])).
% 24.51/15.84 tff(2398,plain,
% 24.51/15.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~v94(constB16)) | v123(constB16, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16))))),
% 24.51/15.84 inference(monotonicity,[status(thm)],[2397])).
% 24.51/15.84 tff(2399,plain,
% 24.51/15.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~v94(constB16)) | v123(constB16, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16)))),
% 24.51/15.84 inference(transitivity,[status(thm)],[2398, 2396])).
% 24.51/15.84 tff(2400,plain,
% 24.51/15.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB16, bitIndex0)) | (~v94(constB16)) | v123(constB16, bitIndex0))),
% 24.51/15.84 inference(quant_inst,[status(thm)],[])).
% 24.51/15.84 tff(2401,plain,
% 24.51/15.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0) | (~v94(constB16))),
% 24.51/15.84 inference(modus_ponens,[status(thm)],[2400, 2399])).
% 24.51/15.84 tff(2402,plain,
% 24.51/15.84 ((~v84(constB16, bitIndex0)) | (~v94(constB16))),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2401, 923, 2395])).
% 24.51/15.84 tff(2403,plain,
% 24.51/15.84 (~v84(constB16, bitIndex0)),
% 24.51/15.84 inference(unit_resolution,[status(thm)],[2402, 2272])).
% 24.51/15.85 tff(2404,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2405,plain,
% 24.51/15.85 (((~nextState(constB16, constB17)) | v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0))) <=> (v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2406,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2405])).
% 24.51/15.85 tff(2407,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2406, 2404])).
% 24.51/15.85 tff(2408,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB16, constB17)) | v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0)))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2409,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB16, bitIndex0) | (~nextState(constB16, constB17)) | v94(constB17) | (~v84(constB17, bitIndex0))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2408, 2407])).
% 24.51/15.85 tff(2410,plain,
% 24.51/15.85 (v84(constB16, bitIndex0) | v94(constB17) | (~v84(constB17, bitIndex0))),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2409, 147, 2313])).
% 24.51/15.85 tff(2411,plain,
% 24.51/15.85 (v84(constB16, bitIndex0) | (~v84(constB17, bitIndex0))),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2410, 2325])).
% 24.51/15.85 tff(2412,plain,
% 24.51/15.85 (~v84(constB17, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2411, 2403])).
% 24.51/15.85 tff(2413,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v115(constB17))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v115(constB17))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2414,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v115(constB17))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2415,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB17, bitIndex0) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex2) | v115(constB17)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2414, 2413])).
% 24.51/15.85 tff(2416,plain,
% 24.51/15.85 (v115(constB17)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2415, 950, 2412, 2365, 2334])).
% 24.51/15.85 tff(2417,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB17)) | v111(constB17))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB17)) | v111(constB17))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2418,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB17)) | v111(constB17))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2419,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB17)) | v111(constB17)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2418, 2417])).
% 24.51/15.85 tff(2420,plain,
% 24.51/15.85 (v111(constB17)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2419, 961, 2416])).
% 24.51/15.85 tff(2421,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB17) | (~v111(constB17)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB17) | (~v111(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2422,plain,
% 24.51/15.85 (((~v111(constB17)) | v110(constB17)) <=> (v110(constB17) | (~v111(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2423,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB17)) | v110(constB17))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB17) | (~v111(constB17))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2422])).
% 24.51/15.85 tff(2424,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB17)) | v110(constB17))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB17) | (~v111(constB17)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2423, 2421])).
% 24.51/15.85 tff(2425,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB17)) | v110(constB17))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2426,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB17) | (~v111(constB17))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2425, 2424])).
% 24.51/15.85 tff(2427,plain,
% 24.51/15.85 (v110(constB17)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2426, 207, 2420])).
% 24.51/15.85 tff(2428,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB17) | (~v110(constB17)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB17) | (~v110(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2429,plain,
% 24.51/15.85 (((~v110(constB17)) | v109(constB17)) <=> (v109(constB17) | (~v110(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2430,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB17)) | v109(constB17))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB17) | (~v110(constB17))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2429])).
% 24.51/15.85 tff(2431,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB17)) | v109(constB17))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB17) | (~v110(constB17)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2430, 2428])).
% 24.51/15.85 tff(2432,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB17)) | v109(constB17))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2433,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB17) | (~v110(constB17))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 24.51/15.85 tff(2434,plain,
% 24.51/15.85 (v109(constB17)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2433, 221, 2427])).
% 24.51/15.85 tff(2435,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB17)) | v108(constB17))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB17)) | v108(constB17))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2436,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB17)) | v108(constB17))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2437,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB17)) | v108(constB17)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2436, 2435])).
% 24.51/15.85 tff(2438,plain,
% 24.51/15.85 (v108(constB17)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2437, 235, 2434])).
% 24.51/15.85 tff(2439,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB17) | (~v108(constB17)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB17) | (~v108(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2440,plain,
% 24.51/15.85 (((~v108(constB17)) | v107(constB17)) <=> (v107(constB17) | (~v108(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2441,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB17)) | v107(constB17))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB17) | (~v108(constB17))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2440])).
% 24.51/15.85 tff(2442,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB17)) | v107(constB17))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB17) | (~v108(constB17)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2441, 2439])).
% 24.51/15.85 tff(2443,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB17)) | v107(constB17))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2444,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB17) | (~v108(constB17))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 24.51/15.85 tff(2445,plain,
% 24.51/15.85 (v107(constB17)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2444, 249, 2438])).
% 24.51/15.85 tff(2446,assumption,(v26(constB17)), introduced(assumption)).
% 24.51/15.85 tff(2447,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB17))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2448,plain,
% 24.51/15.85 ($false),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2447, 18, 2446])).
% 24.51/15.85 tff(2449,plain,(~v26(constB17)), inference(lemma,lemma(discharge,[]))).
% 24.51/15.85 tff(2450,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | (~v107(constB17)) | v106(constB17))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2451,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB17) | (~v107(constB17)) | v106(constB17))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2452,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB17) | (~v107(constB17)) | v106(constB17)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 24.51/15.85 tff(2453,plain,
% 24.51/15.85 ((~v107(constB17)) | v106(constB17)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2452, 263, 2449])).
% 24.51/15.85 tff(2454,plain,
% 24.51/15.85 (v106(constB17)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2453, 2445])).
% 24.51/15.85 tff(2455,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB17) | (~v106(constB17)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB17) | (~v106(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2456,plain,
% 24.51/15.85 (((~v106(constB17)) | v102(constB17)) <=> (v102(constB17) | (~v106(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2457,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB17)) | v102(constB17))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB17) | (~v106(constB17))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2456])).
% 24.51/15.85 tff(2458,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB17)) | v102(constB17))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB17) | (~v106(constB17)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2457, 2455])).
% 24.51/15.85 tff(2459,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB17)) | v102(constB17))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2460,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB17) | (~v106(constB17))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2459, 2458])).
% 24.51/15.85 tff(2461,plain,
% 24.51/15.85 (v102(constB17)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2460, 275, 2454])).
% 24.51/15.85 tff(2462,plain,
% 24.51/15.85 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2463,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_17_1')).
% 24.51/15.85 tff(2464,plain,
% 24.51/15.85 (nextState(constB17, constB18)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2463, 2462])).
% 24.51/15.85 tff(2465,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2466,plain,
% 24.51/15.85 (((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18)) <=> ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2467,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2466])).
% 24.51/15.85 tff(2468,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2467, 2465])).
% 24.51/15.85 tff(2469,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB17, constB18)) | (~v102(constB17)) | v104(constB18))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2470,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB17, constB18)) | v104(constB18) | (~v102(constB17))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2469, 2468])).
% 24.51/15.85 tff(2471,plain,
% 24.51/15.85 (v104(constB18) | (~v102(constB17))),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2470, 295, 2464])).
% 24.51/15.85 tff(2472,plain,
% 24.51/15.85 (v104(constB18)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2471, 2461])).
% 24.51/15.85 tff(2473,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2474,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18)))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2475,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB17) | (~nextState(constB17, constB18)) | (~v98(constB18))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 24.51/15.85 tff(2476,plain,
% 24.51/15.85 (~v98(constB18)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2475, 313, 2464, 2310])).
% 24.51/15.85 tff(2477,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2478,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB17, constB18)) | v96(constB18) | v98(constB18))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2479,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB17, constB18)) | v96(constB18) | v98(constB18)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2478, 2477])).
% 24.51/15.85 tff(2480,plain,
% 24.51/15.85 (v96(constB18) | v98(constB18)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2479, 327, 2464])).
% 24.51/15.85 tff(2481,plain,
% 24.51/15.85 (v96(constB18)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2480, 2476])).
% 24.51/15.85 tff(2482,plain,
% 24.51/15.85 (v1(constB18) <=> v1(constB18)),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2483,axiom,(v1(constB18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_18_1')).
% 24.51/15.85 tff(2484,plain,
% 24.51/15.85 (v1(constB18)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 24.51/15.85 tff(2485,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2486,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18)))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2487,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB17, constB18)) | v95(constB18) | (~v96(constB18)) | (~v1(constB18))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2486, 2485])).
% 24.51/15.85 tff(2488,plain,
% 24.51/15.85 (v95(constB18) | (~v96(constB18))),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2487, 345, 2464, 2484])).
% 24.51/15.85 tff(2489,plain,
% 24.51/15.85 (v95(constB18)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2488, 2481])).
% 24.51/15.85 tff(2490,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2491,plain,
% 24.51/15.85 (((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18)) <=> ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2492,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2491])).
% 24.51/15.85 tff(2493,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2492, 2490])).
% 24.51/15.85 tff(2494,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB17, constB18)) | (~v95(constB18)) | (~v104(constB18)) | v94(constB18))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2495,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB17, constB18)) | v94(constB18) | (~v95(constB18)) | (~v104(constB18))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 24.51/15.85 tff(2496,plain,
% 24.51/15.85 (v94(constB18) | (~v95(constB18)) | (~v104(constB18))),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2495, 360, 2464])).
% 24.51/15.85 tff(2497,plain,
% 24.51/15.85 (v94(constB18) | (~v104(constB18))),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2496, 2489])).
% 24.51/15.85 tff(2498,plain,
% 24.51/15.85 (v94(constB18)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2497, 2472])).
% 24.51/15.85 tff(2499,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB17)) | v124(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB17)) | v124(constB17, bitIndex0))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2500,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB17)) | v124(constB17, bitIndex0))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2501,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB17)) | v124(constB17, bitIndex0)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 24.51/15.85 tff(2502,plain,
% 24.51/15.85 (v124(constB17, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2501, 1140, 2416])).
% 24.51/15.85 tff(2503,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2504,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2505,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB17) | (~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 24.51/15.85 tff(2506,plain,
% 24.51/15.85 ((~v124(constB17, bitIndex0)) | v121(constB17, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2505, 547, 2449])).
% 24.51/15.85 tff(2507,plain,
% 24.51/15.85 (v121(constB17, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2506, 2502])).
% 24.51/15.85 tff(2508,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2509,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2510,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2509, 2508])).
% 24.51/15.85 tff(2511,plain,
% 24.51/15.85 ((~v121(constB17, bitIndex0)) | v123(constB18, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2510, 562, 2464])).
% 24.51/15.85 tff(2512,plain,
% 24.51/15.85 (v123(constB18, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2511, 2507])).
% 24.51/15.85 tff(2513,plain,
% 24.51/15.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2514,plain,
% 24.51/15.85 ((v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0))) <=> (v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2515,plain,
% 24.51/15.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2514])).
% 24.51/15.85 tff(2516,plain,
% 24.51/15.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2515, 2513])).
% 24.51/15.85 tff(2517,plain,
% 24.51/15.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB18, bitIndex0) | (~v94(constB18)) | (~v123(constB18, bitIndex0)))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2518,plain,
% 24.51/15.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0)) | (~v94(constB18))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 24.51/15.85 tff(2519,plain,
% 24.51/15.85 (v84(constB18, bitIndex0) | (~v94(constB18))),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2518, 577, 2512])).
% 24.51/15.85 tff(2520,plain,
% 24.51/15.85 (v84(constB18, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2519, 2498])).
% 24.51/15.85 tff(2521,plain,
% 24.51/15.85 ((~v1(constB19)) <=> (~v1(constB19))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2522,axiom,(~v1(constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_19_1_1')).
% 24.51/15.85 tff(2523,plain,
% 24.51/15.85 (~v1(constB19)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2522, 2521])).
% 24.51/15.85 tff(2524,plain,
% 24.51/15.85 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2525,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_18_1')).
% 24.51/15.85 tff(2526,plain,
% 24.51/15.85 (nextState(constB18, constB19)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 24.51/15.85 tff(2527,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2528,plain,
% 24.51/15.85 (((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19)) <=> (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2529,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2528])).
% 24.51/15.85 tff(2530,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2529, 2527])).
% 24.51/15.85 tff(2531,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB18, constB19)) | (~v95(constB19)) | v1(constB19))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2532,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB19) | (~nextState(constB18, constB19)) | (~v95(constB19))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2531, 2530])).
% 24.51/15.85 tff(2533,plain,
% 24.51/15.85 (~v95(constB19)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2532, 73, 2526, 2523])).
% 24.51/15.85 tff(2534,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2535,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19)))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2536,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB18, constB19)) | v95(constB19) | (~v94(constB19))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2535, 2534])).
% 24.51/15.85 tff(2537,plain,
% 24.51/15.85 (v95(constB19) | (~v94(constB19))),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2536, 90, 2526])).
% 24.51/15.85 tff(2538,plain,
% 24.51/15.85 (~v94(constB19)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2537, 2533])).
% 24.51/15.85 tff(2539,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2540,plain,
% 24.51/15.85 (((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0)) <=> ((~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2541,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0)))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2540])).
% 24.51/15.85 tff(2542,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2541, 2539])).
% 24.51/15.85 tff(2543,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2544,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB18, bitIndex0)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex0)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2543, 2542])).
% 24.51/15.85 tff(2545,plain,
% 24.51/15.85 ((~v84(constB18, bitIndex0)) | v94(constB19) | v84(constB19, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2544, 595, 2526])).
% 24.51/15.85 tff(2546,plain,
% 24.51/15.85 ((~v84(constB18, bitIndex0)) | v84(constB19, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2545, 2538])).
% 24.51/15.85 tff(2547,plain,
% 24.51/15.85 (v84(constB19, bitIndex0)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2546, 2520])).
% 24.51/15.85 tff(2548,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB17)) | v124(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB17)) | v124(constB17, bitIndex1))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2549,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB17)) | v124(constB17, bitIndex1))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2550,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB17)) | v124(constB17, bitIndex1)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 24.51/15.85 tff(2551,plain,
% 24.51/15.85 (v124(constB17, bitIndex1)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2550, 1102, 2416])).
% 24.51/15.85 tff(2552,plain,
% 24.51/15.85 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2553,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2554,plain,
% 24.51/15.85 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB17) | (~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 24.51/15.85 tff(2555,plain,
% 24.51/15.85 ((~v124(constB17, bitIndex1)) | v121(constB17, bitIndex1)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2554, 812, 2449])).
% 24.51/15.85 tff(2556,plain,
% 24.51/15.85 (v121(constB17, bitIndex1)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2555, 2551])).
% 24.51/15.85 tff(2557,plain,
% 24.51/15.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2558,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2559,plain,
% 24.51/15.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB17, constB18)) | (~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1)),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2558, 2557])).
% 24.51/15.85 tff(2560,plain,
% 24.51/15.85 ((~v121(constB17, bitIndex1)) | v123(constB18, bitIndex1)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2559, 827, 2464])).
% 24.51/15.85 tff(2561,plain,
% 24.51/15.85 (v123(constB18, bitIndex1)),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2560, 2556])).
% 24.51/15.85 tff(2562,plain,
% 24.51/15.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2563,plain,
% 24.51/15.85 ((v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1))) <=> (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 24.51/15.85 inference(rewrite,[status(thm)],[])).
% 24.51/15.85 tff(2564,plain,
% 24.51/15.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18))))),
% 24.51/15.85 inference(monotonicity,[status(thm)],[2563])).
% 24.51/15.85 tff(2565,plain,
% 24.51/15.85 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18)))),
% 24.51/15.85 inference(transitivity,[status(thm)],[2564, 2562])).
% 24.51/15.85 tff(2566,plain,
% 24.51/15.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB18, bitIndex1) | (~v94(constB18)) | (~v123(constB18, bitIndex1)))),
% 24.51/15.85 inference(quant_inst,[status(thm)],[])).
% 24.51/15.85 tff(2567,plain,
% 24.51/15.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1)) | (~v94(constB18))),
% 24.51/15.85 inference(modus_ponens,[status(thm)],[2566, 2565])).
% 24.51/15.85 tff(2568,plain,
% 24.51/15.85 (v84(constB18, bitIndex1) | (~v94(constB18))),
% 24.51/15.85 inference(unit_resolution,[status(thm)],[2567, 842, 2561])).
% 24.51/15.85 tff(2569,plain,
% 24.51/15.85 (v84(constB18, bitIndex1)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2568, 2498])).
% 24.51/15.86 tff(2570,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2571,plain,
% 24.51/15.86 (((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1)) <=> ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2572,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1)))),
% 24.51/15.86 inference(monotonicity,[status(thm)],[2571])).
% 24.51/15.86 tff(2573,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1))),
% 24.51/15.86 inference(transitivity,[status(thm)],[2572, 2570])).
% 24.51/15.86 tff(2574,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB18, constB19)) | (~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2575,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB18, bitIndex1)) | (~nextState(constB18, constB19)) | v94(constB19) | v84(constB19, bitIndex1)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2574, 2573])).
% 24.51/15.86 tff(2576,plain,
% 24.51/15.86 ((~v84(constB18, bitIndex1)) | v94(constB19) | v84(constB19, bitIndex1)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2575, 860, 2526])).
% 24.51/15.86 tff(2577,plain,
% 24.51/15.86 ((~v84(constB18, bitIndex1)) | v84(constB19, bitIndex1)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2576, 2538])).
% 24.51/15.86 tff(2578,plain,
% 24.51/15.86 (v84(constB19, bitIndex1)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2577, 2569])).
% 24.51/15.86 tff(2579,assumption,(~v26(constB15)), introduced(assumption)).
% 24.51/15.86 tff(2580,plain,
% 24.51/15.86 (v106(constB15)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2227, 2579])).
% 24.51/15.86 tff(2581,plain,
% 24.51/15.86 (v102(constB15)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2234, 275, 2580])).
% 24.51/15.86 tff(2582,plain,
% 24.51/15.86 (v104(constB16)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2245, 2581])).
% 24.51/15.86 tff(2583,plain,
% 24.51/15.86 (v94(constB16)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2271, 2582])).
% 24.51/15.86 tff(2584,plain,
% 24.51/15.86 (~v84(constB16, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2306, 2583])).
% 24.51/15.86 tff(2585,plain,
% 24.51/15.86 (~v84(constB17, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2333, 2584])).
% 24.51/15.86 tff(2586,plain,
% 24.51/15.86 (v121(constB15, bitIndex1)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2342, 2579])).
% 24.51/15.86 tff(2587,plain,
% 24.51/15.86 (v123(constB16, bitIndex1)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2347, 2586])).
% 24.51/15.86 tff(2588,plain,
% 24.51/15.86 (v84(constB16, bitIndex1) | (~v94(constB16))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2354, 842, 2587])).
% 24.51/15.86 tff(2589,plain,
% 24.51/15.86 (v84(constB16, bitIndex1)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2588, 2583])).
% 24.51/15.86 tff(2590,plain,
% 24.51/15.86 (v84(constB17, bitIndex1)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2364, 2589])).
% 24.51/15.86 tff(2591,plain,
% 24.51/15.86 (~v84(constB16, bitIndex0)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2402, 2583])).
% 24.51/15.86 tff(2592,plain,
% 24.51/15.86 (~v84(constB17, bitIndex0)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2411, 2591])).
% 24.51/15.86 tff(2593,plain,
% 24.51/15.86 (v115(constB17)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2415, 950, 2592, 2590, 2585])).
% 24.51/15.86 tff(2594,assumption,(v84(constB18, bitIndex2)), introduced(assumption)).
% 24.51/15.86 tff(2595,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2596,plain,
% 24.51/15.86 (((~nextState(constB17, constB18)) | v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2))) <=> (v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2597,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2))))),
% 24.51/15.86 inference(monotonicity,[status(thm)],[2596])).
% 24.51/15.86 tff(2598,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2)))),
% 24.51/15.86 inference(transitivity,[status(thm)],[2597, 2595])).
% 24.51/15.86 tff(2599,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2)))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2600,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB17, bitIndex2) | (~nextState(constB17, constB18)) | v94(constB18) | (~v84(constB18, bitIndex2))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 24.51/15.86 tff(2601,plain,
% 24.51/15.86 (v84(constB17, bitIndex2) | v94(constB18) | (~v84(constB18, bitIndex2))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2600, 105, 2464])).
% 24.51/15.86 tff(2602,plain,
% 24.51/15.86 (v94(constB18)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2601, 2585, 2594])).
% 24.51/15.86 tff(2603,plain,
% 24.51/15.86 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2604,plain,
% 24.51/15.86 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18)))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2605,plain,
% 24.51/15.86 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2) | (~v94(constB18))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2604, 2603])).
% 24.51/15.86 tff(2606,plain,
% 24.51/15.86 (v123(constB18, bitIndex2) | (~v94(constB18))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2605, 423, 2594])).
% 24.51/15.86 tff(2607,plain,
% 24.51/15.86 (v123(constB18, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2606, 2602])).
% 24.51/15.86 tff(2608,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2609,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2)))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2610,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB17, constB18)) | v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 24.51/15.86 tff(2611,plain,
% 24.51/15.86 (v121(constB17, bitIndex2) | (~v123(constB18, bitIndex2))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2610, 408, 2464])).
% 24.51/15.86 tff(2612,plain,
% 24.51/15.86 (v121(constB17, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2611, 2607])).
% 24.51/15.86 tff(2613,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2614,plain,
% 24.51/15.86 ((v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2))) <=> ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2615,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2)))),
% 24.51/15.86 inference(monotonicity,[status(thm)],[2614])).
% 24.51/15.86 tff(2616,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2))),
% 24.51/15.86 inference(transitivity,[status(thm)],[2615, 2613])).
% 24.51/15.86 tff(2617,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB17) | v124(constB17, bitIndex2) | (~v121(constB17, bitIndex2)))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2618,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB17, bitIndex2)) | v26(constB17) | v124(constB17, bitIndex2)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2617, 2616])).
% 24.51/15.86 tff(2619,plain,
% 24.51/15.86 ((~v121(constB17, bitIndex2)) | v124(constB17, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2618, 390, 2449])).
% 24.51/15.86 tff(2620,plain,
% 24.51/15.86 (v124(constB17, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2619, 2612])).
% 24.51/15.86 tff(2621,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB17)) | (~v124(constB17, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB17)) | (~v124(constB17, bitIndex2)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2622,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB17)) | (~v124(constB17, bitIndex2)))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2623,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB17)) | (~v124(constB17, bitIndex2))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 24.51/15.86 tff(2624,plain,
% 24.51/15.86 ($false),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2623, 1046, 2620, 2593])).
% 24.51/15.86 tff(2625,plain,(v26(constB15) | (~v84(constB18, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 24.51/15.86 tff(2626,plain,
% 24.51/15.86 (~v84(constB18, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2625, 33])).
% 24.51/15.86 tff(2627,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2628,plain,
% 24.51/15.86 (((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2))) <=> (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2629,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2))))),
% 24.51/15.86 inference(monotonicity,[status(thm)],[2628])).
% 24.51/15.86 tff(2630,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 24.51/15.86 inference(transitivity,[status(thm)],[2629, 2627])).
% 24.51/15.86 tff(2631,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB18, constB19)) | v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2)))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2632,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB18, bitIndex2) | (~nextState(constB18, constB19)) | v94(constB19) | (~v84(constB19, bitIndex2))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 24.51/15.86 tff(2633,plain,
% 24.51/15.86 (v84(constB18, bitIndex2) | v94(constB19) | (~v84(constB19, bitIndex2))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2632, 105, 2526])).
% 24.51/15.86 tff(2634,plain,
% 24.51/15.86 (v84(constB18, bitIndex2) | (~v84(constB19, bitIndex2))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2633, 2538])).
% 24.51/15.86 tff(2635,plain,
% 24.51/15.86 (~v84(constB19, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2634, 2626])).
% 24.51/15.86 tff(2636,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2637,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2638,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v84(constB19, bitIndex2) | v116(constB19)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2637, 2636])).
% 24.51/15.86 tff(2639,plain,
% 24.51/15.86 ((~v84(constB19, bitIndex0)) | (~v84(constB19, bitIndex1)) | v116(constB19)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2638, 1181, 2635])).
% 24.51/15.86 tff(2640,plain,
% 24.51/15.86 (v116(constB19)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2639, 2578, 2547])).
% 24.51/15.86 tff(2641,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB19)) | v110(constB19))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB19)) | v110(constB19))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2642,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB19)) | v110(constB19))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2643,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB19)) | v110(constB19)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 24.51/15.86 tff(2644,plain,
% 24.51/15.86 (v110(constB19)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2643, 1192, 2640])).
% 24.51/15.86 tff(2645,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB19) | (~v110(constB19)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB19) | (~v110(constB19)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2646,plain,
% 24.51/15.86 (((~v110(constB19)) | v109(constB19)) <=> (v109(constB19) | (~v110(constB19)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2647,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB19)) | v109(constB19))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB19) | (~v110(constB19))))),
% 24.51/15.86 inference(monotonicity,[status(thm)],[2646])).
% 24.51/15.86 tff(2648,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB19)) | v109(constB19))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB19) | (~v110(constB19)))),
% 24.51/15.86 inference(transitivity,[status(thm)],[2647, 2645])).
% 24.51/15.86 tff(2649,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB19)) | v109(constB19))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2650,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB19) | (~v110(constB19))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 24.51/15.86 tff(2651,plain,
% 24.51/15.86 (v109(constB19)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2650, 221, 2644])).
% 24.51/15.86 tff(2652,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v109(constB19)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v109(constB19)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2653,plain,
% 24.51/15.86 (((~v109(constB19)) | v108(constB19)) <=> (v108(constB19) | (~v109(constB19)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2654,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB19) | (~v109(constB19))))),
% 24.51/15.86 inference(monotonicity,[status(thm)],[2653])).
% 24.51/15.86 tff(2655,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB19)) | v108(constB19))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v109(constB19)))),
% 24.51/15.86 inference(transitivity,[status(thm)],[2654, 2652])).
% 24.51/15.86 tff(2656,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB19)) | v108(constB19))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2657,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB19) | (~v109(constB19))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 24.51/15.86 tff(2658,plain,
% 24.51/15.86 (v108(constB19)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2657, 235, 2651])).
% 24.51/15.86 tff(2659,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB19)) | v107(constB19))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB19)) | v107(constB19))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2660,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB19)) | v107(constB19))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2661,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB19)) | v107(constB19)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2660, 2659])).
% 24.51/15.86 tff(2662,plain,
% 24.51/15.86 (v107(constB19)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2661, 249, 2658])).
% 24.51/15.86 tff(2663,assumption,(v26(constB19)), introduced(assumption)).
% 24.51/15.86 tff(2664,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB19))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2665,plain,
% 24.51/15.86 ($false),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2664, 18, 2663])).
% 24.51/15.86 tff(2666,plain,(~v26(constB19)), inference(lemma,lemma(discharge,[]))).
% 24.51/15.86 tff(2667,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | (~v107(constB19)) | v106(constB19))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2668,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB19) | (~v107(constB19)) | v106(constB19))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2669,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB19) | (~v107(constB19)) | v106(constB19)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 24.51/15.86 tff(2670,plain,
% 24.51/15.86 ((~v107(constB19)) | v106(constB19)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2669, 263, 2666])).
% 24.51/15.86 tff(2671,plain,
% 24.51/15.86 (v106(constB19)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2670, 2662])).
% 24.51/15.86 tff(2672,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB19) | (~v106(constB19)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB19) | (~v106(constB19)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2673,plain,
% 24.51/15.86 (((~v106(constB19)) | v102(constB19)) <=> (v102(constB19) | (~v106(constB19)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2674,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB19)) | v102(constB19))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB19) | (~v106(constB19))))),
% 24.51/15.86 inference(monotonicity,[status(thm)],[2673])).
% 24.51/15.86 tff(2675,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB19)) | v102(constB19))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB19) | (~v106(constB19)))),
% 24.51/15.86 inference(transitivity,[status(thm)],[2674, 2672])).
% 24.51/15.86 tff(2676,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB19)) | v102(constB19))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2677,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB19) | (~v106(constB19))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 24.51/15.86 tff(2678,plain,
% 24.51/15.86 (v102(constB19)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2677, 275, 2671])).
% 24.51/15.86 tff(2679,plain,
% 24.51/15.86 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2680,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_19_1')).
% 24.51/15.86 tff(2681,plain,
% 24.51/15.86 (nextState(constB19, constB20)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 24.51/15.86 tff(2682,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2683,plain,
% 24.51/15.86 (((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20)) <=> ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2684,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19))))),
% 24.51/15.86 inference(monotonicity,[status(thm)],[2683])).
% 24.51/15.86 tff(2685,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19)))),
% 24.51/15.86 inference(transitivity,[status(thm)],[2684, 2682])).
% 24.51/15.86 tff(2686,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB19, constB20)) | (~v102(constB19)) | v104(constB20))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2687,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB19, constB20)) | v104(constB20) | (~v102(constB19))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2686, 2685])).
% 24.51/15.86 tff(2688,plain,
% 24.51/15.86 (v104(constB20) | (~v102(constB19))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2687, 295, 2681])).
% 24.51/15.86 tff(2689,plain,
% 24.51/15.86 (v104(constB20)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2688, 2678])).
% 24.51/15.86 tff(2690,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2691,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20)))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2692,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB19) | (~nextState(constB19, constB20)) | (~v98(constB20))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2691, 2690])).
% 24.51/15.86 tff(2693,plain,
% 24.51/15.86 (~v98(constB20)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2692, 313, 2681, 2523])).
% 24.51/15.86 tff(2694,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2695,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB19, constB20)) | v96(constB20) | v98(constB20))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2696,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB19, constB20)) | v96(constB20) | v98(constB20)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 24.51/15.86 tff(2697,plain,
% 24.51/15.86 (v96(constB20) | v98(constB20)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2696, 327, 2681])).
% 24.51/15.86 tff(2698,plain,
% 24.51/15.86 (v96(constB20)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2697, 2693])).
% 24.51/15.86 tff(2699,plain,
% 24.51/15.86 (v1(constB20) <=> v1(constB20)),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2700,axiom,(v1(constB20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_20_1')).
% 24.51/15.86 tff(2701,plain,
% 24.51/15.86 (v1(constB20)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2700, 2699])).
% 24.51/15.86 tff(2702,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2703,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20)))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2704,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB19, constB20)) | v95(constB20) | (~v96(constB20)) | (~v1(constB20))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2703, 2702])).
% 24.51/15.86 tff(2705,plain,
% 24.51/15.86 (v95(constB20) | (~v96(constB20))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2704, 345, 2681, 2701])).
% 24.51/15.86 tff(2706,plain,
% 24.51/15.86 (v95(constB20)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2705, 2698])).
% 24.51/15.86 tff(2707,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2708,plain,
% 24.51/15.86 (((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20)) <=> ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2709,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20))))),
% 24.51/15.86 inference(monotonicity,[status(thm)],[2708])).
% 24.51/15.86 tff(2710,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20)))),
% 24.51/15.86 inference(transitivity,[status(thm)],[2709, 2707])).
% 24.51/15.86 tff(2711,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB19, constB20)) | (~v95(constB20)) | (~v104(constB20)) | v94(constB20))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2712,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB19, constB20)) | v94(constB20) | (~v95(constB20)) | (~v104(constB20))),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 24.51/15.86 tff(2713,plain,
% 24.51/15.86 (v94(constB20) | (~v95(constB20)) | (~v104(constB20))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2712, 360, 2681])).
% 24.51/15.86 tff(2714,plain,
% 24.51/15.86 (v94(constB20) | (~v104(constB20))),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2713, 2706])).
% 24.51/15.86 tff(2715,plain,
% 24.51/15.86 (v94(constB20)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2714, 2689])).
% 24.51/15.86 tff(2716,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB19)) | v124(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB19)) | v124(constB19, bitIndex2))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2717,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB19)) | v124(constB19, bitIndex2))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2718,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB19)) | v124(constB19, bitIndex2)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2717, 2716])).
% 24.51/15.86 tff(2719,plain,
% 24.51/15.86 (v124(constB19, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2718, 1273, 2640])).
% 24.51/15.86 tff(2720,plain,
% 24.51/15.86 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2721,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2722,plain,
% 24.51/15.86 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB19) | (~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2)),
% 24.51/15.86 inference(modus_ponens,[status(thm)],[2721, 2720])).
% 24.51/15.86 tff(2723,plain,
% 24.51/15.86 ((~v124(constB19, bitIndex2)) | v121(constB19, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2722, 1287, 2666])).
% 24.51/15.86 tff(2724,plain,
% 24.51/15.86 (v121(constB19, bitIndex2)),
% 24.51/15.86 inference(unit_resolution,[status(thm)],[2723, 2719])).
% 24.51/15.86 tff(2725,plain,
% 24.51/15.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2))),
% 24.51/15.86 inference(rewrite,[status(thm)],[])).
% 24.51/15.86 tff(2726,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2))),
% 24.51/15.86 inference(quant_inst,[status(thm)],[])).
% 24.51/15.86 tff(2727,plain,
% 24.51/15.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB19, constB20)) | (~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2726, 2725])).
% 24.51/15.87 tff(2728,plain,
% 24.51/15.87 ((~v121(constB19, bitIndex2)) | v123(constB20, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2727, 1302, 2681])).
% 24.51/15.87 tff(2729,plain,
% 24.51/15.87 (v123(constB20, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2728, 2724])).
% 24.51/15.87 tff(2730,plain,
% 24.51/15.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2731,plain,
% 24.51/15.87 ((v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2))) <=> (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2732,plain,
% 24.51/15.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20))))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2731])).
% 24.51/15.87 tff(2733,plain,
% 24.51/15.87 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20)))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2732, 2730])).
% 24.51/15.87 tff(2734,plain,
% 24.51/15.87 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB20, bitIndex2) | (~v94(constB20)) | (~v123(constB20, bitIndex2)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2735,plain,
% 24.51/15.87 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2)) | (~v94(constB20))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2734, 2733])).
% 24.51/15.87 tff(2736,plain,
% 24.51/15.87 (v84(constB20, bitIndex2) | (~v94(constB20))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2735, 1317, 2729])).
% 24.51/15.87 tff(2737,plain,
% 24.51/15.87 (v84(constB20, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2736, 2715])).
% 24.51/15.87 tff(2738,plain,
% 24.51/15.87 ((~v1(constB21)) <=> (~v1(constB21))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2739,axiom,(~v1(constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_21_1_1')).
% 24.51/15.87 tff(2740,plain,
% 24.51/15.87 (~v1(constB21)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2739, 2738])).
% 24.51/15.87 tff(2741,plain,
% 24.51/15.87 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2742,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_20_1')).
% 24.51/15.87 tff(2743,plain,
% 24.51/15.87 (nextState(constB20, constB21)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2742, 2741])).
% 24.51/15.87 tff(2744,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2745,plain,
% 24.51/15.87 (((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21)) <=> (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2746,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21))))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2745])).
% 24.51/15.87 tff(2747,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21)))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2746, 2744])).
% 24.51/15.87 tff(2748,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB20, constB21)) | (~v95(constB21)) | v1(constB21))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2749,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB21) | (~nextState(constB20, constB21)) | (~v95(constB21))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 24.51/15.87 tff(2750,plain,
% 24.51/15.87 (~v95(constB21)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2749, 73, 2743, 2740])).
% 24.51/15.87 tff(2751,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2752,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2753,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB20, constB21)) | v95(constB21) | (~v94(constB21))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 24.51/15.87 tff(2754,plain,
% 24.51/15.87 (v95(constB21) | (~v94(constB21))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2753, 90, 2743])).
% 24.51/15.87 tff(2755,plain,
% 24.51/15.87 (~v94(constB21)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2754, 2750])).
% 24.51/15.87 tff(2756,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2757,plain,
% 24.51/15.87 (((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2)) <=> ((~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2758,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2)))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2757])).
% 24.51/15.87 tff(2759,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2758, 2756])).
% 24.51/15.87 tff(2760,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB20, constB21)) | (~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2761,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB20, bitIndex2)) | (~nextState(constB20, constB21)) | v94(constB21) | v84(constB21, bitIndex2)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 24.51/15.87 tff(2762,plain,
% 24.51/15.87 ((~v84(constB20, bitIndex2)) | v94(constB21) | v84(constB21, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2761, 1353, 2743])).
% 24.51/15.87 tff(2763,plain,
% 24.51/15.87 ((~v84(constB20, bitIndex2)) | v84(constB21, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2762, 2755])).
% 24.51/15.87 tff(2764,plain,
% 24.51/15.87 (v84(constB21, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2763, 2737])).
% 24.51/15.87 tff(2765,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB19)) | (~v124(constB19, bitIndex1)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2766,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex1)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2767,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB19)) | (~v124(constB19, bitIndex1))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 24.51/15.87 tff(2768,plain,
% 24.51/15.87 (~v124(constB19, bitIndex1)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2767, 1369, 2640])).
% 24.51/15.87 tff(2769,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2770,plain,
% 24.51/15.87 ((v26(constB19) | v124(constB19, bitIndex1) | (~v121(constB19, bitIndex1))) <=> ((~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2771,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB19) | v124(constB19, bitIndex1) | (~v121(constB19, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1)))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2770])).
% 24.51/15.87 tff(2772,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB19) | v124(constB19, bitIndex1) | (~v121(constB19, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2771, 2769])).
% 24.51/15.87 tff(2773,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB19) | v124(constB19, bitIndex1) | (~v121(constB19, bitIndex1)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2774,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB19, bitIndex1)) | v26(constB19) | v124(constB19, bitIndex1)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2773, 2772])).
% 24.51/15.87 tff(2775,plain,
% 24.51/15.87 ((~v121(constB19, bitIndex1)) | v124(constB19, bitIndex1)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2774, 476, 2666])).
% 24.51/15.87 tff(2776,plain,
% 24.51/15.87 (~v121(constB19, bitIndex1)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2775, 2768])).
% 24.51/15.87 tff(2777,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2778,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2779,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2778, 2777])).
% 24.51/15.87 tff(2780,plain,
% 24.51/15.87 (v121(constB19, bitIndex1) | (~v123(constB20, bitIndex1))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2779, 494, 2681])).
% 24.51/15.87 tff(2781,plain,
% 24.51/15.87 (~v123(constB20, bitIndex1)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2780, 2776])).
% 24.51/15.87 tff(2782,plain,
% 24.51/15.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2783,plain,
% 24.51/15.87 (((~v84(constB20, bitIndex1)) | (~v94(constB20)) | v123(constB20, bitIndex1)) <=> ((~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2784,plain,
% 24.51/15.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~v94(constB20)) | v123(constB20, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20))))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2783])).
% 24.51/15.87 tff(2785,plain,
% 24.51/15.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~v94(constB20)) | v123(constB20, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20)))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2784, 2782])).
% 24.51/15.87 tff(2786,plain,
% 24.51/15.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB20, bitIndex1)) | (~v94(constB20)) | v123(constB20, bitIndex1))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2787,plain,
% 24.51/15.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1) | (~v94(constB20))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2786, 2785])).
% 24.51/15.87 tff(2788,plain,
% 24.51/15.87 ((~v84(constB20, bitIndex1)) | (~v94(constB20))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2787, 509, 2781])).
% 24.51/15.87 tff(2789,plain,
% 24.51/15.87 (~v84(constB20, bitIndex1)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2788, 2715])).
% 24.51/15.87 tff(2790,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2791,plain,
% 24.51/15.87 (((~nextState(constB20, constB21)) | v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1))) <=> (v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2792,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1))))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2791])).
% 24.51/15.87 tff(2793,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1)))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2792, 2790])).
% 24.51/15.87 tff(2794,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2795,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB20, bitIndex1) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex1))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 24.51/15.87 tff(2796,plain,
% 24.51/15.87 (v84(constB20, bitIndex1) | v94(constB21) | (~v84(constB21, bitIndex1))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2795, 126, 2743])).
% 24.51/15.87 tff(2797,plain,
% 24.51/15.87 (v84(constB20, bitIndex1) | (~v84(constB21, bitIndex1))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2796, 2755])).
% 24.51/15.87 tff(2798,plain,
% 24.51/15.87 (~v84(constB21, bitIndex1)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2797, 2789])).
% 24.51/15.87 tff(2799,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB19)) | (~v124(constB19, bitIndex0)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2800,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB19)) | (~v124(constB19, bitIndex0)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2801,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB19)) | (~v124(constB19, bitIndex0))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2800, 2799])).
% 24.51/15.87 tff(2802,plain,
% 24.51/15.87 (~v124(constB19, bitIndex0)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2801, 1410, 2640])).
% 24.51/15.87 tff(2803,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2804,plain,
% 24.51/15.87 ((v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0))) <=> ((~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2805,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0)))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2804])).
% 24.51/15.87 tff(2806,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2805, 2803])).
% 24.51/15.87 tff(2807,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB19) | v124(constB19, bitIndex0) | (~v121(constB19, bitIndex0)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2808,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB19, bitIndex0)) | v26(constB19) | v124(constB19, bitIndex0)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2807, 2806])).
% 24.51/15.87 tff(2809,plain,
% 24.51/15.87 ((~v121(constB19, bitIndex0)) | v124(constB19, bitIndex0)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2808, 890, 2666])).
% 24.51/15.87 tff(2810,plain,
% 24.51/15.87 (~v121(constB19, bitIndex0)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2809, 2802])).
% 24.51/15.87 tff(2811,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2812,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2813,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB19, constB20)) | v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2812, 2811])).
% 24.51/15.87 tff(2814,plain,
% 24.51/15.87 (v121(constB19, bitIndex0) | (~v123(constB20, bitIndex0))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2813, 908, 2681])).
% 24.51/15.87 tff(2815,plain,
% 24.51/15.87 (~v123(constB20, bitIndex0)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2814, 2810])).
% 24.51/15.87 tff(2816,plain,
% 24.51/15.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2817,plain,
% 24.51/15.87 (((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0)) <=> ((~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2818,plain,
% 24.51/15.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20))))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2817])).
% 24.51/15.87 tff(2819,plain,
% 24.51/15.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20)))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2818, 2816])).
% 24.51/15.87 tff(2820,plain,
% 24.51/15.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB20, bitIndex0)) | (~v94(constB20)) | v123(constB20, bitIndex0))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2821,plain,
% 24.51/15.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0) | (~v94(constB20))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 24.51/15.87 tff(2822,plain,
% 24.51/15.87 ((~v84(constB20, bitIndex0)) | (~v94(constB20))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2821, 923, 2815])).
% 24.51/15.87 tff(2823,plain,
% 24.51/15.87 (~v84(constB20, bitIndex0)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2822, 2715])).
% 24.51/15.87 tff(2824,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2825,plain,
% 24.51/15.87 (((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0))) <=> (v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2826,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0))))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2825])).
% 24.51/15.87 tff(2827,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2826, 2824])).
% 24.51/15.87 tff(2828,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB20, constB21)) | v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0)))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2829,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB20, bitIndex0) | (~nextState(constB20, constB21)) | v94(constB21) | (~v84(constB21, bitIndex0))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 24.51/15.87 tff(2830,plain,
% 24.51/15.87 (v84(constB20, bitIndex0) | v94(constB21) | (~v84(constB21, bitIndex0))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2829, 147, 2743])).
% 24.51/15.87 tff(2831,plain,
% 24.51/15.87 (v84(constB20, bitIndex0) | (~v84(constB21, bitIndex0))),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2830, 2755])).
% 24.51/15.87 tff(2832,plain,
% 24.51/15.87 (~v84(constB21, bitIndex0)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2831, 2823])).
% 24.51/15.87 tff(2833,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v172(constB21))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v172(constB21))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2834,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v172(constB21))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2835,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v172(constB21)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2834, 2833])).
% 24.51/15.87 tff(2836,plain,
% 24.51/15.87 (v172(constB21)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2835, 1454, 2832, 2798, 2764])).
% 24.51/15.87 tff(2837,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB21)) | v124(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB21)) | v124(constB21, bitIndex2))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2838,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB21)) | v124(constB21, bitIndex2))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2839,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB21)) | v124(constB21, bitIndex2)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2838, 2837])).
% 24.51/15.87 tff(2840,plain,
% 24.51/15.87 (v124(constB21, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2839, 1539, 2836])).
% 24.51/15.87 tff(2841,assumption,(v26(constB21)), introduced(assumption)).
% 24.51/15.87 tff(2842,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB21))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2843,plain,
% 24.51/15.87 ($false),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2842, 18, 2841])).
% 24.51/15.87 tff(2844,plain,(~v26(constB21)), inference(lemma,lemma(discharge,[]))).
% 24.51/15.87 tff(2845,plain,
% 24.51/15.87 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2846,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2847,plain,
% 24.51/15.87 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB21) | (~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2846, 2845])).
% 24.51/15.87 tff(2848,plain,
% 24.51/15.87 ((~v124(constB21, bitIndex2)) | v121(constB21, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2847, 1287, 2844])).
% 24.51/15.87 tff(2849,plain,
% 24.51/15.87 (v121(constB21, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2848, 2840])).
% 24.51/15.87 tff(2850,plain,
% 24.51/15.87 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2851,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_21_1')).
% 24.51/15.87 tff(2852,plain,
% 24.51/15.87 (nextState(constB21, constB22)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2851, 2850])).
% 24.51/15.87 tff(2853,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2854,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2))),
% 24.51/15.87 inference(quant_inst,[status(thm)],[])).
% 24.51/15.87 tff(2855,plain,
% 24.51/15.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2)),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 24.51/15.87 tff(2856,plain,
% 24.51/15.87 ((~v121(constB21, bitIndex2)) | v123(constB22, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2855, 1302, 2852])).
% 24.51/15.87 tff(2857,plain,
% 24.51/15.87 (v123(constB22, bitIndex2)),
% 24.51/15.87 inference(unit_resolution,[status(thm)],[2856, 2849])).
% 24.51/15.87 tff(2858,assumption,(~v84(constB21, bitIndex1)), introduced(assumption)).
% 24.51/15.87 tff(2859,assumption,(~v102(constB21)), introduced(assumption)).
% 24.51/15.87 tff(2860,plain,
% 24.51/15.87 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))))),
% 24.51/15.87 inference(bind,[status(th)],[])).
% 24.51/15.87 tff(2861,plain,
% 24.51/15.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 24.51/15.87 inference(quant_intro,[status(thm)],[2860])).
% 24.51/15.87 tff(2862,plain,
% 24.51/15.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2863,plain,
% 24.51/15.87 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))))),
% 24.51/15.87 inference(bind,[status(th)],[])).
% 24.51/15.87 tff(2864,plain,
% 24.51/15.87 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 24.51/15.87 inference(quant_intro,[status(thm)],[2863])).
% 24.51/15.87 tff(2865,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v104(VarNext))) | v102(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 24.51/15.87 tff(2866,plain,
% 24.51/15.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 24.51/15.87 tff(2867,plain,
% 24.51/15.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2866, 2862])).
% 24.51/15.87 tff(2868,plain,(
% 24.51/15.87 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 24.51/15.87 inference(skolemize,[status(sab)],[2867])).
% 24.51/15.87 tff(2869,plain,
% 24.51/15.87 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 24.51/15.87 inference(modus_ponens,[status(thm)],[2868, 2861])).
% 24.51/15.87 tff(2870,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB21, constB22)) | (~v104(constB22)) | v102(constB21))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB21, constB22)) | (~v104(constB22)) | v102(constB21))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2871,plain,
% 24.51/15.87 (((~nextState(constB21, constB22)) | v102(constB21) | (~v104(constB22))) <=> ((~nextState(constB21, constB22)) | (~v104(constB22)) | v102(constB21))),
% 24.51/15.87 inference(rewrite,[status(thm)],[])).
% 24.51/15.87 tff(2872,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB21, constB22)) | v102(constB21) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB21, constB22)) | (~v104(constB22)) | v102(constB21)))),
% 24.51/15.87 inference(monotonicity,[status(thm)],[2871])).
% 24.51/15.87 tff(2873,plain,
% 24.51/15.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB21, constB22)) | v102(constB21) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB21, constB22)) | (~v104(constB22)) | v102(constB21))),
% 24.51/15.87 inference(transitivity,[status(thm)],[2872, 2870])).
% 24.51/15.88 tff(2874,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB21, constB22)) | v102(constB21) | (~v104(constB22)))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2875,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB21, constB22)) | (~v104(constB22)) | v102(constB21)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 24.51/15.88 tff(2876,plain,
% 24.51/15.88 ((~v104(constB22)) | v102(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2875, 2869, 2852])).
% 24.51/15.88 tff(2877,plain,
% 24.51/15.88 (~v104(constB22)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2876, 2859])).
% 24.51/15.88 tff(2878,plain,
% 24.51/15.88 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(2879,plain,
% 24.51/15.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[2878])).
% 24.51/15.88 tff(2880,plain,
% 24.51/15.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2881,plain,
% 24.51/15.88 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v94(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)) <=> (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(2882,plain,
% 24.51/15.88 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[2881])).
% 24.51/15.88 tff(2883,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v94(VarNext))) | v104(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_27_1_2')).
% 24.51/15.88 tff(2884,plain,
% 24.51/15.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2883, 2882])).
% 24.51/15.88 tff(2885,plain,
% 24.51/15.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2884, 2880])).
% 24.51/15.88 tff(2886,plain,(
% 24.51/15.88 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 24.51/15.88 inference(skolemize,[status(sab)],[2885])).
% 24.51/15.88 tff(2887,plain,
% 24.51/15.88 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2886, 2879])).
% 24.51/15.88 tff(2888,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v94(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v94(constB22)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2889,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v94(constB22)))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2890,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v94(constB22))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2889, 2888])).
% 24.51/15.88 tff(2891,plain,
% 24.51/15.88 (v104(constB22) | (~v94(constB22))),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2890, 2887, 2852])).
% 24.51/15.88 tff(2892,plain,
% 24.51/15.88 (~v94(constB22)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2891, 2877])).
% 24.51/15.88 tff(2893,assumption,(~v84(constB22, bitIndex1)), introduced(assumption)).
% 24.51/15.88 tff(2894,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2895,plain,
% 24.51/15.88 (((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1)) <=> ((~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2896,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1)))),
% 24.51/15.88 inference(monotonicity,[status(thm)],[2895])).
% 24.51/15.88 tff(2897,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1))),
% 24.51/15.88 inference(transitivity,[status(thm)],[2896, 2894])).
% 24.51/15.88 tff(2898,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2899,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB21, bitIndex1)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex1)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 24.51/15.88 tff(2900,plain,
% 24.51/15.88 ((~v84(constB21, bitIndex1)) | v94(constB22) | v84(constB22, bitIndex1)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2899, 860, 2852])).
% 24.51/15.88 tff(2901,plain,
% 24.51/15.88 (~v84(constB21, bitIndex1)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2900, 2893, 2892])).
% 24.51/15.88 tff(2902,assumption,(~v84(constB22, bitIndex2)), introduced(assumption)).
% 24.51/15.88 tff(2903,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2904,plain,
% 24.51/15.88 (((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2)) <=> ((~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2905,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2)))),
% 24.51/15.88 inference(monotonicity,[status(thm)],[2904])).
% 24.51/15.88 tff(2906,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2))),
% 24.51/15.88 inference(transitivity,[status(thm)],[2905, 2903])).
% 24.51/15.88 tff(2907,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2908,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB21, bitIndex2)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex2)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2907, 2906])).
% 24.51/15.88 tff(2909,plain,
% 24.51/15.88 ((~v84(constB21, bitIndex2)) | v94(constB22) | v84(constB22, bitIndex2)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2908, 1353, 2852])).
% 24.51/15.88 tff(2910,plain,
% 24.51/15.88 (~v84(constB21, bitIndex2)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2909, 2902, 2892])).
% 24.51/15.88 tff(2911,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB21) | (~v106(constB21)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB21) | (~v106(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2912,plain,
% 24.51/15.88 (((~v106(constB21)) | v102(constB21)) <=> (v102(constB21) | (~v106(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2913,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB21)) | v102(constB21))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB21) | (~v106(constB21))))),
% 24.51/15.88 inference(monotonicity,[status(thm)],[2912])).
% 24.51/15.88 tff(2914,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB21)) | v102(constB21))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB21) | (~v106(constB21)))),
% 24.51/15.88 inference(transitivity,[status(thm)],[2913, 2911])).
% 24.51/15.88 tff(2915,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB21)) | v102(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2916,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB21) | (~v106(constB21))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2915, 2914])).
% 24.51/15.88 tff(2917,plain,
% 24.51/15.88 (~v106(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2916, 275, 2859])).
% 24.51/15.88 tff(2918,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB21) | (~v26(constB21)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB21) | (~v26(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2919,plain,
% 24.51/15.88 (((~v26(constB21)) | v102(constB21)) <=> (v102(constB21) | (~v26(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2920,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB21)) | v102(constB21))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB21) | (~v26(constB21))))),
% 24.51/15.88 inference(monotonicity,[status(thm)],[2919])).
% 24.51/15.88 tff(2921,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB21)) | v102(constB21))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB21) | (~v26(constB21)))),
% 24.51/15.88 inference(transitivity,[status(thm)],[2920, 2918])).
% 24.51/15.88 tff(2922,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB21)) | v102(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2923,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB21) | (~v26(constB21))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 24.51/15.88 tff(2924,plain,
% 24.51/15.88 (~v26(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2923, 660, 2859])).
% 24.51/15.88 tff(2925,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | (~v107(constB21)) | v106(constB21))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2926,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB21) | (~v107(constB21)) | v106(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2927,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB21) | (~v107(constB21)) | v106(constB21)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 24.51/15.88 tff(2928,plain,
% 24.51/15.88 (~v107(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2927, 263, 2924, 2917])).
% 24.51/15.88 tff(2929,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB21) | (~v108(constB21)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB21) | (~v108(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2930,plain,
% 24.51/15.88 (((~v108(constB21)) | v107(constB21)) <=> (v107(constB21) | (~v108(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2931,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB21)) | v107(constB21))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB21) | (~v108(constB21))))),
% 24.51/15.88 inference(monotonicity,[status(thm)],[2930])).
% 24.51/15.88 tff(2932,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB21)) | v107(constB21))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB21) | (~v108(constB21)))),
% 24.51/15.88 inference(transitivity,[status(thm)],[2931, 2929])).
% 24.51/15.88 tff(2933,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB21)) | v107(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2934,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB21) | (~v108(constB21))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 24.51/15.88 tff(2935,plain,
% 24.51/15.88 (~v108(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2934, 249, 2928])).
% 24.51/15.88 tff(2936,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v109(constB21)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v109(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2937,plain,
% 24.51/15.88 (((~v109(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v109(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2938,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v109(constB21))))),
% 24.51/15.88 inference(monotonicity,[status(thm)],[2937])).
% 24.51/15.88 tff(2939,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v109(constB21)))),
% 24.51/15.88 inference(transitivity,[status(thm)],[2938, 2936])).
% 24.51/15.88 tff(2940,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB21)) | v108(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2941,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v109(constB21))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2940, 2939])).
% 24.51/15.88 tff(2942,plain,
% 24.51/15.88 (~v109(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2941, 235, 2935])).
% 24.51/15.88 tff(2943,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB21)) | v109(constB21))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB21)) | v109(constB21))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2944,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB21)) | v109(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2945,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB21)) | v109(constB21)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2944, 2943])).
% 24.51/15.88 tff(2946,plain,
% 24.51/15.88 (~v110(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2945, 221, 2942])).
% 24.51/15.88 tff(2947,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB21) | (~v111(constB21)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB21) | (~v111(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2948,plain,
% 24.51/15.88 (((~v111(constB21)) | v110(constB21)) <=> (v110(constB21) | (~v111(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2949,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB21)) | v110(constB21))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB21) | (~v111(constB21))))),
% 24.51/15.88 inference(monotonicity,[status(thm)],[2948])).
% 24.51/15.88 tff(2950,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB21)) | v110(constB21))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB21) | (~v111(constB21)))),
% 24.51/15.88 inference(transitivity,[status(thm)],[2949, 2947])).
% 24.51/15.88 tff(2951,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB21)) | v110(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2952,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB21) | (~v111(constB21))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2951, 2950])).
% 24.51/15.88 tff(2953,plain,
% 24.51/15.88 (~v111(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2952, 207, 2946])).
% 24.51/15.88 tff(2954,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB21)) | v111(constB21))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB21)) | v111(constB21))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2955,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB21)) | v111(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2956,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB21)) | v111(constB21)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2955, 2954])).
% 24.51/15.88 tff(2957,plain,
% 24.51/15.88 (~v112(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2956, 193, 2953])).
% 24.51/15.88 tff(2958,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB21) | (~v145(constB21)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB21) | (~v145(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2959,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB21) | (~v145(constB21)))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2960,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB21) | (~v145(constB21))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 24.51/15.88 tff(2961,plain,
% 24.51/15.88 (~v145(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2960, 677, 2957])).
% 24.51/15.88 tff(2962,plain,
% 24.51/15.88 (^[VarCurr: state_type] : refl((v145(VarCurr) | (~v144(VarCurr))) <=> (v145(VarCurr) | (~v144(VarCurr))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(2963,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[2962])).
% 24.51/15.88 tff(2964,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2965,plain,
% 24.51/15.88 (^[VarCurr: state_type] : rewrite(((~v144(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | (~v144(VarCurr))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(2966,plain,
% 24.51/15.88 (![VarCurr: state_type] : ((~v144(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[2965])).
% 24.51/15.88 tff(2967,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31_1_2')).
% 24.51/15.88 tff(2968,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 24.51/15.88 tff(2969,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2968, 2964])).
% 24.51/15.88 tff(2970,plain,(
% 24.51/15.88 ![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 24.51/15.88 inference(skolemize,[status(sab)],[2969])).
% 24.51/15.88 tff(2971,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2970, 2963])).
% 24.51/15.88 tff(2972,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB21) | (~v144(constB21)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB21) | (~v144(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2973,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB21) | (~v144(constB21)))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2974,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB21) | (~v144(constB21))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 24.51/15.88 tff(2975,plain,
% 24.51/15.88 (~v144(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2974, 2971, 2961])).
% 24.51/15.88 tff(2976,plain,
% 24.51/15.88 (^[VarCurr: state_type] : refl((v144(VarCurr) | (~v142(VarCurr))) <=> (v144(VarCurr) | (~v142(VarCurr))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(2977,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[2976])).
% 24.51/15.88 tff(2978,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2979,plain,
% 24.51/15.88 (^[VarCurr: state_type] : rewrite(((~v142(VarCurr)) | v144(VarCurr)) <=> (v144(VarCurr) | (~v142(VarCurr))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(2980,plain,
% 24.51/15.88 (![VarCurr: state_type] : ((~v142(VarCurr)) | v144(VarCurr)) <=> ![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[2979])).
% 24.51/15.88 tff(2981,axiom,(![VarCurr: state_type] : ((~v142(VarCurr)) | v144(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1_2')).
% 24.51/15.88 tff(2982,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2981, 2980])).
% 24.51/15.88 tff(2983,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2982, 2978])).
% 24.51/15.88 tff(2984,plain,(
% 24.51/15.88 ![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 24.51/15.88 inference(skolemize,[status(sab)],[2983])).
% 24.51/15.88 tff(2985,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2984, 2977])).
% 24.51/15.88 tff(2986,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB21) | (~v142(constB21)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB21) | (~v142(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2987,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB21) | (~v142(constB21)))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2988,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB21) | (~v142(constB21))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 24.51/15.88 tff(2989,plain,
% 24.51/15.88 (~v142(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2988, 2985, 2975])).
% 24.51/15.88 tff(2990,plain,
% 24.51/15.88 (~v84(constB21, bitIndex2)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2909, 2892, 2902])).
% 24.51/15.88 tff(2991,plain,
% 24.51/15.88 (~v84(constB21, bitIndex1)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2900, 2892, 2893])).
% 24.51/15.88 tff(2992,assumption,(v84(constB22, bitIndex0)), introduced(assumption)).
% 24.51/15.88 tff(2993,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2994,plain,
% 24.51/15.88 (((~nextState(constB21, constB22)) | v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0))) <=> (v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(2995,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0))))),
% 24.51/15.88 inference(monotonicity,[status(thm)],[2994])).
% 24.51/15.88 tff(2996,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0)))),
% 24.51/15.88 inference(transitivity,[status(thm)],[2995, 2993])).
% 24.51/15.88 tff(2997,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0)))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(2998,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB21, bitIndex0) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex0))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[2997, 2996])).
% 24.51/15.88 tff(2999,plain,
% 24.51/15.88 (v84(constB21, bitIndex0) | v94(constB22) | (~v84(constB22, bitIndex0))),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2998, 147, 2852])).
% 24.51/15.88 tff(3000,plain,
% 24.51/15.88 (v84(constB21, bitIndex0)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[2999, 2892, 2992])).
% 24.51/15.88 tff(3001,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v145(constB21))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v145(constB21))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3002,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v145(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(3003,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v145(constB21)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 24.51/15.88 tff(3004,plain,
% 24.51/15.88 (v145(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3003, 614, 3000, 2991, 2990])).
% 24.51/15.88 tff(3005,assumption,(v18(constB22)), introduced(assumption)).
% 24.51/15.88 tff(3006,plain,
% 24.51/15.88 (^[VarCurr: state_type] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3007,plain,
% 24.51/15.88 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3006])).
% 24.51/15.88 tff(3008,plain,
% 24.51/15.88 (![VarCurr: state_type] : (~v18(VarCurr)) <=> ![VarCurr: state_type] : (~v18(VarCurr))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3009,axiom,(![VarCurr: state_type] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 24.51/15.88 tff(3010,plain,
% 24.51/15.88 (![VarCurr: state_type] : (~v18(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 24.51/15.88 tff(3011,plain,(
% 24.51/15.88 ![VarCurr: state_type] : (~v18(VarCurr))),
% 24.51/15.88 inference(skolemize,[status(sab)],[3010])).
% 24.51/15.88 tff(3012,plain,
% 24.51/15.88 (![VarCurr: state_type] : (~v18(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3011, 3007])).
% 24.51/15.88 tff(3013,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB22))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(3014,plain,
% 24.51/15.88 ($false),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3013, 3012, 3005])).
% 24.51/15.88 tff(3015,plain,(~v18(constB22)), inference(lemma,lemma(discharge,[]))).
% 24.51/15.88 tff(3016,plain,
% 24.51/15.88 (v1(constB22) <=> v1(constB22)),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3017,axiom,(v1(constB22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_22_1')).
% 24.51/15.88 tff(3018,plain,
% 24.51/15.88 (v1(constB22)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3017, 3016])).
% 24.51/15.88 tff(3019,plain,
% 24.51/15.88 (^[VarCurr: state_type] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3020,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3019])).
% 24.51/15.88 tff(3021,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3022,plain,
% 24.51/15.88 (^[VarCurr: state_type] : rewrite(((~v1(VarCurr)) | v22(VarCurr)) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3023,plain,
% 24.51/15.88 (![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr)) <=> ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3022])).
% 24.51/15.88 tff(3024,axiom,(![VarCurr: state_type] : ((~v1(VarCurr)) | v22(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_1_1_1_1_1')).
% 24.51/15.88 tff(3025,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3024, 3023])).
% 24.51/15.88 tff(3026,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3025, 3021])).
% 24.51/15.88 tff(3027,plain,(
% 24.51/15.88 ![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 24.51/15.88 inference(skolemize,[status(sab)],[3026])).
% 24.51/15.88 tff(3028,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3027, 3020])).
% 24.51/15.88 tff(3029,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3030,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB22) | (~v1(constB22)))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(3031,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB22) | (~v1(constB22))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3030, 3029])).
% 24.51/15.88 tff(3032,plain,
% 24.51/15.88 (v22(constB22)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3031, 3028, 3018])).
% 24.51/15.88 tff(3033,plain,
% 24.51/15.88 (^[VarCurr: state_type] : refl((v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3034,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3033])).
% 24.51/15.88 tff(3035,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3036,plain,
% 24.51/15.88 (^[VarCurr: state_type] : rewrite((((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3037,plain,
% 24.51/15.88 (![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr)) <=> ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3036])).
% 24.51/15.88 tff(3038,axiom,(![VarCurr: state_type] : (((~v19(VarCurr)) | (~v22(VarCurr))) | v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_2_1_1_1')).
% 24.51/15.88 tff(3039,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 24.51/15.88 tff(3040,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3039, 3035])).
% 24.51/15.88 tff(3041,plain,(
% 24.51/15.88 ![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 24.51/15.88 inference(skolemize,[status(sab)],[3040])).
% 24.51/15.88 tff(3042,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3041, 3034])).
% 24.51/15.88 tff(3043,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB22) | (~v22(constB22)) | (~v19(constB22)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB22) | (~v22(constB22)) | (~v19(constB22)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3044,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB22) | (~v22(constB22)) | (~v19(constB22)))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(3045,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB22) | (~v22(constB22)) | (~v19(constB22))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3044, 3043])).
% 24.51/15.88 tff(3046,plain,
% 24.51/15.88 (v18(constB22) | (~v19(constB22))),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3045, 3042, 3032])).
% 24.51/15.88 tff(3047,plain,
% 24.51/15.88 (~v19(constB22)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3046, 3015])).
% 24.51/15.88 tff(3048,plain,
% 24.51/15.88 (^[VarCurr: state_type] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3049,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3048])).
% 24.51/15.88 tff(3050,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3051,axiom,(![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_44_1_1_2')).
% 24.51/15.88 tff(3052,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 24.51/15.88 tff(3053,plain,(
% 24.51/15.88 ![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 24.51/15.88 inference(skolemize,[status(sab)],[3052])).
% 24.51/15.88 tff(3054,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3053, 3049])).
% 24.51/15.88 tff(3055,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3056,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB22) | v19(constB22))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(3057,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB22) | v19(constB22)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3056, 3055])).
% 24.51/15.88 tff(3058,plain,
% 24.51/15.88 (v13(constB22)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3057, 3054, 3047])).
% 24.51/15.88 tff(3059,plain,
% 24.51/15.88 (^[VarNext: state_type, VarCurr: state_type] : refl((v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3060,plain,
% 24.51/15.88 (![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)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3059])).
% 24.51/15.88 tff(3061,plain,
% 24.51/15.88 (![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)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3062,plain,
% 24.51/15.88 (^[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)))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3063,plain,
% 24.51/15.88 (![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)))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3062])).
% 24.51/15.88 tff(3064,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v13(VarNext))) | v9(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11_2')).
% 24.51/15.88 tff(3065,plain,
% 24.51/15.88 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3064, 3063])).
% 24.51/15.88 tff(3066,plain,
% 24.51/15.88 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3065, 3061])).
% 24.51/15.88 tff(3067,plain,(
% 24.51/15.88 ![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 24.51/15.88 inference(skolemize,[status(sab)],[3066])).
% 24.51/15.88 tff(3068,plain,
% 24.51/15.88 (![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3067, 3060])).
% 24.51/15.88 tff(3069,plain,
% 24.51/15.88 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3070,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22)))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(3071,plain,
% 24.51/15.88 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB21) | (~v13(constB22)) | (~nextState(constB21, constB22))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 24.51/15.88 tff(3072,plain,
% 24.51/15.88 (v9(constB21) | (~v13(constB22))),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3071, 3068, 2852])).
% 24.51/15.88 tff(3073,plain,
% 24.51/15.88 (v9(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3072, 3058])).
% 24.51/15.88 tff(3074,plain,
% 24.51/15.88 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3075,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3074])).
% 24.51/15.88 tff(3076,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3077,plain,
% 24.51/15.88 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v9(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)))), ((((~v9(VarCurr)) | v1(VarCurr)) | v141(VarCurr)) <=> ((v1(VarCurr) | (~v9(VarCurr))) | v141(VarCurr)))), rewrite(((v1(VarCurr) | (~v9(VarCurr))) | v141(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))), ((((~v9(VarCurr)) | v1(VarCurr)) | v141(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3078,plain,
% 24.51/15.88 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3077])).
% 24.51/15.88 tff(3079,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_28_1_1_1')).
% 24.51/15.88 tff(3080,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3079, 3078])).
% 24.51/15.88 tff(3081,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3080, 3076])).
% 24.51/15.88 tff(3082,plain,(
% 24.51/15.88 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 24.51/15.88 inference(skolemize,[status(sab)],[3081])).
% 24.51/15.88 tff(3083,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3082, 3075])).
% 24.51/15.88 tff(3084,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v141(constB21))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB21) | (~v9(constB21)) | v141(constB21))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3085,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB21) | (~v9(constB21)) | v141(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(3086,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB21) | (~v9(constB21)) | v141(constB21)),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 24.51/15.88 tff(3087,plain,
% 24.51/15.88 ((~v9(constB21)) | v141(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3086, 3083, 2740])).
% 24.51/15.88 tff(3088,plain,
% 24.51/15.88 (v141(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3087, 3073])).
% 24.51/15.88 tff(3089,plain,
% 24.51/15.88 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)) <=> ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3090,plain,
% 24.51/15.88 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3089])).
% 24.51/15.88 tff(3091,plain,
% 24.51/15.88 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3092,plain,
% 24.51/15.88 (^[VarCurr: state_type] : rewrite((((~v141(VarCurr)) | (~v145(VarCurr))) | v144(VarCurr)) <=> ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3093,plain,
% 24.51/15.88 (![VarCurr: state_type] : (((~v141(VarCurr)) | (~v145(VarCurr))) | v144(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3092])).
% 24.51/15.88 tff(3094,axiom,(![VarCurr: state_type] : (((~v141(VarCurr)) | (~v145(VarCurr))) | v144(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31_1_1')).
% 24.51/15.88 tff(3095,plain,
% 24.51/15.88 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3094, 3093])).
% 24.51/15.88 tff(3096,plain,
% 24.51/15.88 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3095, 3091])).
% 24.51/15.88 tff(3097,plain,(
% 24.51/15.88 ![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 24.51/15.88 inference(skolemize,[status(sab)],[3096])).
% 24.51/15.88 tff(3098,plain,
% 24.51/15.88 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3097, 3090])).
% 24.51/15.88 tff(3099,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (v144(constB21) | (~v145(constB21)) | (~v141(constB21)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | v144(constB21) | (~v145(constB21)) | (~v141(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3100,plain,
% 24.51/15.88 (((~v141(constB21)) | (~v145(constB21)) | v144(constB21)) <=> (v144(constB21) | (~v145(constB21)) | (~v141(constB21)))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3101,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB21)) | (~v145(constB21)) | v144(constB21))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (v144(constB21) | (~v145(constB21)) | (~v141(constB21))))),
% 24.51/15.88 inference(monotonicity,[status(thm)],[3100])).
% 24.51/15.88 tff(3102,plain,
% 24.51/15.88 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB21)) | (~v145(constB21)) | v144(constB21))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | v144(constB21) | (~v145(constB21)) | (~v141(constB21)))),
% 24.51/15.88 inference(transitivity,[status(thm)],[3101, 3099])).
% 24.51/15.88 tff(3103,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB21)) | (~v145(constB21)) | v144(constB21))),
% 24.51/15.88 inference(quant_inst,[status(thm)],[])).
% 24.51/15.88 tff(3104,plain,
% 24.51/15.88 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | v144(constB21) | (~v145(constB21)) | (~v141(constB21))),
% 24.51/15.88 inference(modus_ponens,[status(thm)],[3103, 3102])).
% 24.51/15.88 tff(3105,plain,
% 24.51/15.88 (v144(constB21) | (~v145(constB21))),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3104, 3098, 3088])).
% 24.51/15.88 tff(3106,plain,
% 24.51/15.88 (v144(constB21)),
% 24.51/15.88 inference(unit_resolution,[status(thm)],[3105, 3004])).
% 24.51/15.88 tff(3107,assumption,(~v142(constB21)), introduced(assumption)).
% 24.51/15.88 tff(3108,plain,
% 24.51/15.88 (^[VarCurr: state_type] : refl((v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)) <=> (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3109,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3108])).
% 24.51/15.88 tff(3110,plain,
% 24.51/15.88 (![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 24.51/15.88 inference(rewrite,[status(thm)],[])).
% 24.51/15.88 tff(3111,plain,
% 24.51/15.88 (^[VarCurr: state_type] : rewrite(((v26(VarCurr) | (~v144(VarCurr))) | v142(VarCurr)) <=> (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)))),
% 24.51/15.88 inference(bind,[status(th)],[])).
% 24.51/15.88 tff(3112,plain,
% 24.51/15.88 (![VarCurr: state_type] : ((v26(VarCurr) | (~v144(VarCurr))) | v142(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 24.51/15.88 inference(quant_intro,[status(thm)],[3111])).
% 24.51/15.89 tff(3113,axiom,(![VarCurr: state_type] : ((v26(VarCurr) | (~v144(VarCurr))) | v142(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_32_1_1_1')).
% 24.51/15.89 tff(3114,plain,
% 24.51/15.89 (![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 24.51/15.89 inference(modus_ponens,[status(thm)],[3113, 3112])).
% 24.51/15.89 tff(3115,plain,
% 24.51/15.89 (![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 24.51/15.89 inference(modus_ponens,[status(thm)],[3114, 3110])).
% 24.51/15.89 tff(3116,plain,(
% 24.51/15.89 ![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 24.51/15.89 inference(skolemize,[status(sab)],[3115])).
% 24.51/15.89 tff(3117,plain,
% 24.51/15.89 (![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 24.51/15.89 inference(modus_ponens,[status(thm)],[3116, 3109])).
% 24.51/15.89 tff(3118,plain,
% 24.51/15.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB21) | v142(constB21) | (~v144(constB21)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB21) | v142(constB21) | (~v144(constB21)))),
% 24.51/15.89 inference(rewrite,[status(thm)],[])).
% 24.51/15.89 tff(3119,plain,
% 24.51/15.89 ((v26(constB21) | (~v144(constB21)) | v142(constB21)) <=> (v26(constB21) | v142(constB21) | (~v144(constB21)))),
% 24.51/15.89 inference(rewrite,[status(thm)],[])).
% 24.51/15.89 tff(3120,plain,
% 24.51/15.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB21) | (~v144(constB21)) | v142(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB21) | v142(constB21) | (~v144(constB21))))),
% 24.51/15.89 inference(monotonicity,[status(thm)],[3119])).
% 24.51/15.89 tff(3121,plain,
% 24.51/15.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB21) | (~v144(constB21)) | v142(constB21))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB21) | v142(constB21) | (~v144(constB21)))),
% 24.51/15.89 inference(transitivity,[status(thm)],[3120, 3118])).
% 24.51/15.89 tff(3122,plain,
% 24.51/15.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB21) | (~v144(constB21)) | v142(constB21))),
% 24.51/15.89 inference(quant_inst,[status(thm)],[])).
% 24.51/15.89 tff(3123,plain,
% 24.51/15.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB21) | v142(constB21) | (~v144(constB21))),
% 24.51/15.89 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 24.51/15.89 tff(3124,plain,
% 24.51/15.89 (v26(constB21) | (~v144(constB21))),
% 24.51/15.89 inference(unit_resolution,[status(thm)],[3123, 3117, 3107])).
% 24.51/15.89 tff(3125,plain,
% 24.51/15.89 ($false),
% 24.51/15.89 inference(unit_resolution,[status(thm)],[3124, 3106, 2924])).
% 24.51/15.89 tff(3126,plain,(v102(constB21) | v142(constB21) | v84(constB22, bitIndex2) | v84(constB22, bitIndex1) | (~v84(constB22, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.51/15.89 tff(3127,plain,
% 24.51/15.89 (~v84(constB22, bitIndex0)),
% 24.51/15.89 inference(unit_resolution,[status(thm)],[3126, 2902, 2859, 2989, 2893])).
% 24.51/15.89 tff(3128,plain,
% 24.51/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0))),
% 24.51/15.89 inference(rewrite,[status(thm)],[])).
% 24.51/15.89 tff(3129,plain,
% 24.51/15.89 (((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0)) <=> ((~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0))),
% 24.51/15.89 inference(rewrite,[status(thm)],[])).
% 24.51/15.89 tff(3130,plain,
% 24.51/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0)))),
% 24.51/15.89 inference(monotonicity,[status(thm)],[3129])).
% 24.51/15.89 tff(3131,plain,
% 24.51/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0))),
% 24.51/15.89 inference(transitivity,[status(thm)],[3130, 3128])).
% 24.51/15.89 tff(3132,plain,
% 24.51/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0))),
% 24.51/15.89 inference(quant_inst,[status(thm)],[])).
% 24.51/15.89 tff(3133,plain,
% 24.51/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB21, bitIndex0)) | (~nextState(constB21, constB22)) | v94(constB22) | v84(constB22, bitIndex0)),
% 24.51/15.89 inference(modus_ponens,[status(thm)],[3132, 3131])).
% 24.51/15.89 tff(3134,plain,
% 24.51/15.89 ((~v84(constB21, bitIndex0)) | v94(constB22) | v84(constB22, bitIndex0)),
% 24.51/15.89 inference(unit_resolution,[status(thm)],[3133, 595, 2852])).
% 24.51/15.89 tff(3135,plain,
% 24.51/15.89 (~v84(constB21, bitIndex0)),
% 24.51/15.89 inference(unit_resolution,[status(thm)],[3134, 3127, 2892])).
% 24.51/15.89 tff(3136,plain,
% 24.51/15.89 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB21) | (~v113(constB21)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB21) | (~v113(constB21)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3137,plain,
% 24.58/15.89 (((~v113(constB21)) | v112(constB21)) <=> (v112(constB21) | (~v113(constB21)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3138,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB21) | (~v113(constB21))))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3137])).
% 24.58/15.89 tff(3139,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB21)) | v112(constB21))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB21) | (~v113(constB21)))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3138, 3136])).
% 24.58/15.89 tff(3140,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB21)) | v112(constB21))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3141,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB21) | (~v113(constB21))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3140, 3139])).
% 24.58/15.89 tff(3142,plain,
% 24.58/15.89 (~v113(constB21)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3141, 182, 2957])).
% 24.58/15.89 tff(3143,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3144,plain,
% 24.58/15.89 ((v84(constB21, bitIndex0) | v113(constB21) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2)) <=> (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3145,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v113(constB21) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21)))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3144])).
% 24.58/15.89 tff(3146,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v113(constB21) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3145, 3143])).
% 24.58/15.89 tff(3147,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB21, bitIndex0) | v113(constB21) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3148,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2) | v113(constB21)),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3147, 3146])).
% 24.58/15.89 tff(3149,plain,
% 24.58/15.89 (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | v84(constB21, bitIndex2)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3148, 168, 3142])).
% 24.58/15.89 tff(3150,plain,
% 24.58/15.89 ($false),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3149, 3135, 2910, 2901])).
% 24.58/15.89 tff(3151,plain,(v84(constB22, bitIndex2) | v102(constB21) | v84(constB22, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.58/15.89 tff(3152,plain,
% 24.58/15.89 (v84(constB22, bitIndex2)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3151, 2893, 2859])).
% 24.58/15.89 tff(3153,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex2)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3154,plain,
% 24.58/15.89 (((~nextState(constB21, constB22)) | v84(constB21, bitIndex2) | v94(constB22) | (~v84(constB22, bitIndex2))) <=> (v84(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex2)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3155,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex2) | v94(constB22) | (~v84(constB22, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex2))))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3154])).
% 24.58/15.89 tff(3156,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex2) | v94(constB22) | (~v84(constB22, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex2)))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3155, 3153])).
% 24.58/15.89 tff(3157,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex2) | v94(constB22) | (~v84(constB22, bitIndex2)))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3158,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB21, bitIndex2) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex2))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 24.58/15.89 tff(3159,plain,
% 24.58/15.89 (v84(constB21, bitIndex2) | v94(constB22) | (~v84(constB22, bitIndex2))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3158, 105, 2852])).
% 24.58/15.89 tff(3160,plain,
% 24.58/15.89 (v84(constB21, bitIndex2)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3159, 3152, 2892])).
% 24.58/15.89 tff(3161,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v118(constB21)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v118(constB21)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3162,plain,
% 24.58/15.89 (((~v118(constB21)) | v108(constB21)) <=> (v108(constB21) | (~v118(constB21)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3163,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB21) | (~v118(constB21))))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3162])).
% 24.58/15.89 tff(3164,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB21)) | v108(constB21))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v118(constB21)))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3163, 3161])).
% 24.58/15.89 tff(3165,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB21)) | v108(constB21))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3166,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB21) | (~v118(constB21))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 24.58/15.89 tff(3167,plain,
% 24.58/15.89 (~v118(constB21)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3166, 1688, 2935])).
% 24.58/15.89 tff(3168,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v118(constB21))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v118(constB21))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3169,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v118(constB21))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3170,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)) | v118(constB21)),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3169, 3168])).
% 24.58/15.89 tff(3171,plain,
% 24.58/15.89 ((~v84(constB21, bitIndex0)) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3170, 1677, 3167])).
% 24.58/15.89 tff(3172,plain,
% 24.58/15.89 (~v84(constB21, bitIndex0)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3171, 3160, 2901])).
% 24.58/15.89 tff(3173,plain,
% 24.58/15.89 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB21) | (~v172(constB21)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB21) | (~v172(constB21)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3174,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB21) | (~v172(constB21)))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3175,plain,
% 24.58/15.89 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB21) | (~v172(constB21))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3174, 3173])).
% 24.58/15.89 tff(3176,plain,
% 24.58/15.89 (~v172(constB21)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3175, 1468, 2942])).
% 24.58/15.89 tff(3177,plain,
% 24.58/15.89 (v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[2835, 1454, 3176])).
% 24.58/15.89 tff(3178,plain,
% 24.58/15.89 ($false),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3177, 3172, 3160, 2901])).
% 24.58/15.89 tff(3179,plain,(v84(constB22, bitIndex1) | v102(constB21)), inference(lemma,lemma(discharge,[]))).
% 24.58/15.89 tff(3180,plain,
% 24.58/15.89 (v84(constB22, bitIndex1)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3179, 2859])).
% 24.58/15.89 tff(3181,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex1)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3182,plain,
% 24.58/15.89 (((~nextState(constB21, constB22)) | v84(constB21, bitIndex1) | v94(constB22) | (~v84(constB22, bitIndex1))) <=> (v84(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex1)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3183,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex1) | v94(constB22) | (~v84(constB22, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex1))))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3182])).
% 24.58/15.89 tff(3184,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex1) | v94(constB22) | (~v84(constB22, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex1)))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3183, 3181])).
% 24.58/15.89 tff(3185,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v84(constB21, bitIndex1) | v94(constB22) | (~v84(constB22, bitIndex1)))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3186,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB21, bitIndex1) | (~nextState(constB21, constB22)) | v94(constB22) | (~v84(constB22, bitIndex1))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3185, 3184])).
% 24.58/15.89 tff(3187,plain,
% 24.58/15.89 (v84(constB21, bitIndex1) | v94(constB22) | (~v84(constB22, bitIndex1))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3186, 126, 2852])).
% 24.58/15.89 tff(3188,plain,
% 24.58/15.89 ($false),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3187, 2892, 3180, 2858])).
% 24.58/15.89 tff(3189,plain,(v102(constB21) | v84(constB21, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.58/15.89 tff(3190,plain,
% 24.58/15.89 (v102(constB21)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3189, 2798])).
% 24.58/15.89 tff(3191,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3192,plain,
% 24.58/15.89 (((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22)) <=> ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3193,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21))))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3192])).
% 24.58/15.89 tff(3194,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21)))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3193, 3191])).
% 24.58/15.89 tff(3195,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB21, constB22)) | (~v102(constB21)) | v104(constB22))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3196,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB21, constB22)) | v104(constB22) | (~v102(constB21))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 24.58/15.89 tff(3197,plain,
% 24.58/15.89 (v104(constB22) | (~v102(constB21))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3196, 295, 2852])).
% 24.58/15.89 tff(3198,plain,
% 24.58/15.89 (v104(constB22)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3197, 3190])).
% 24.58/15.89 tff(3199,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3200,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22)))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3201,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB21) | (~nextState(constB21, constB22)) | (~v98(constB22))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 24.58/15.89 tff(3202,plain,
% 24.58/15.89 (~v98(constB22)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3201, 313, 2852, 2740])).
% 24.58/15.89 tff(3203,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3204,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB21, constB22)) | v96(constB22) | v98(constB22))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3205,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB21, constB22)) | v96(constB22) | v98(constB22)),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 24.58/15.89 tff(3206,plain,
% 24.58/15.89 (v96(constB22) | v98(constB22)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3205, 327, 2852])).
% 24.58/15.89 tff(3207,plain,
% 24.58/15.89 (v96(constB22)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3206, 3202])).
% 24.58/15.89 tff(3208,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3209,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22)))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3210,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB21, constB22)) | v95(constB22) | (~v96(constB22)) | (~v1(constB22))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3209, 3208])).
% 24.58/15.89 tff(3211,plain,
% 24.58/15.89 (v95(constB22) | (~v96(constB22))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3210, 345, 2852, 3018])).
% 24.58/15.89 tff(3212,plain,
% 24.58/15.89 (v95(constB22)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3211, 3207])).
% 24.58/15.89 tff(3213,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3214,plain,
% 24.58/15.89 (((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22)) <=> ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3215,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22))))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3214])).
% 24.58/15.89 tff(3216,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22)))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3215, 3213])).
% 24.58/15.89 tff(3217,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB21, constB22)) | (~v95(constB22)) | (~v104(constB22)) | v94(constB22))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3218,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB21, constB22)) | v94(constB22) | (~v95(constB22)) | (~v104(constB22))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 24.58/15.89 tff(3219,plain,
% 24.58/15.89 (v94(constB22) | (~v95(constB22)) | (~v104(constB22))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3218, 360, 2852])).
% 24.58/15.89 tff(3220,plain,
% 24.58/15.89 (v94(constB22) | (~v104(constB22))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3219, 3212])).
% 24.58/15.89 tff(3221,plain,
% 24.58/15.89 (v94(constB22)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3220, 3198])).
% 24.58/15.89 tff(3222,plain,
% 24.58/15.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3223,plain,
% 24.58/15.89 ((v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2))) <=> (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3224,plain,
% 24.58/15.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22))))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3223])).
% 24.58/15.89 tff(3225,plain,
% 24.58/15.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22)))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3224, 3222])).
% 24.58/15.89 tff(3226,plain,
% 24.58/15.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB22, bitIndex2) | (~v94(constB22)) | (~v123(constB22, bitIndex2)))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3227,plain,
% 24.58/15.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2)) | (~v94(constB22))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 24.58/15.89 tff(3228,plain,
% 24.58/15.89 (v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3227, 1317, 3221])).
% 24.58/15.89 tff(3229,plain,
% 24.58/15.89 (v84(constB22, bitIndex2)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3228, 2857])).
% 24.58/15.89 tff(3230,plain,
% 24.58/15.89 ((~v1(constB23)) <=> (~v1(constB23))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3231,axiom,(~v1(constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_23_1_1')).
% 24.58/15.89 tff(3232,plain,
% 24.58/15.89 (~v1(constB23)),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 24.58/15.89 tff(3233,plain,
% 24.58/15.89 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3234,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_22_1')).
% 24.58/15.89 tff(3235,plain,
% 24.58/15.89 (nextState(constB22, constB23)),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3234, 3233])).
% 24.58/15.89 tff(3236,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3237,plain,
% 24.58/15.89 (((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23)) <=> (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3238,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23))))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3237])).
% 24.58/15.89 tff(3239,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23)))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3238, 3236])).
% 24.58/15.89 tff(3240,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB22, constB23)) | (~v95(constB23)) | v1(constB23))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3241,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB23) | (~nextState(constB22, constB23)) | (~v95(constB23))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 24.58/15.89 tff(3242,plain,
% 24.58/15.89 (~v95(constB23)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3241, 73, 3235, 3232])).
% 24.58/15.89 tff(3243,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3244,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23)))),
% 24.58/15.89 inference(quant_inst,[status(thm)],[])).
% 24.58/15.89 tff(3245,plain,
% 24.58/15.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB22, constB23)) | v95(constB23) | (~v94(constB23))),
% 24.58/15.89 inference(modus_ponens,[status(thm)],[3244, 3243])).
% 24.58/15.89 tff(3246,plain,
% 24.58/15.89 (v95(constB23) | (~v94(constB23))),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3245, 90, 3235])).
% 24.58/15.89 tff(3247,plain,
% 24.58/15.89 (~v94(constB23)),
% 24.58/15.89 inference(unit_resolution,[status(thm)],[3246, 3242])).
% 24.58/15.89 tff(3248,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3249,plain,
% 24.58/15.89 (((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2)) <=> ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 24.58/15.89 inference(rewrite,[status(thm)],[])).
% 24.58/15.89 tff(3250,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2)))),
% 24.58/15.89 inference(monotonicity,[status(thm)],[3249])).
% 24.58/15.89 tff(3251,plain,
% 24.58/15.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2))),
% 24.58/15.89 inference(transitivity,[status(thm)],[3250, 3248])).
% 24.58/15.90 tff(3252,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3253,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB22, bitIndex2)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex2)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3252, 3251])).
% 24.58/15.90 tff(3254,plain,
% 24.58/15.90 ((~v84(constB22, bitIndex2)) | v94(constB23) | v84(constB23, bitIndex2)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3253, 1353, 3235])).
% 24.58/15.90 tff(3255,plain,
% 24.58/15.90 ((~v84(constB22, bitIndex2)) | v84(constB23, bitIndex2)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3254, 3247])).
% 24.58/15.90 tff(3256,plain,
% 24.58/15.90 (v84(constB23, bitIndex2)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3255, 3229])).
% 24.58/15.90 tff(3257,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB21)) | (~v124(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB21)) | (~v124(constB21, bitIndex1)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3258,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB21)) | (~v124(constB21, bitIndex1)))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3259,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB21)) | (~v124(constB21, bitIndex1))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3258, 3257])).
% 24.58/15.90 tff(3260,plain,
% 24.58/15.90 (~v124(constB21, bitIndex1)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3259, 1595, 2836])).
% 24.58/15.90 tff(3261,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3262,plain,
% 24.58/15.90 ((v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1))) <=> ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3263,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1)))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3262])).
% 24.58/15.90 tff(3264,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3263, 3261])).
% 24.58/15.90 tff(3265,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB21) | v124(constB21, bitIndex1) | (~v121(constB21, bitIndex1)))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3266,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB21, bitIndex1)) | v26(constB21) | v124(constB21, bitIndex1)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 24.58/15.90 tff(3267,plain,
% 24.58/15.90 ((~v121(constB21, bitIndex1)) | v124(constB21, bitIndex1)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3266, 476, 2844])).
% 24.58/15.90 tff(3268,plain,
% 24.58/15.90 (~v121(constB21, bitIndex1)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3267, 3260])).
% 24.58/15.90 tff(3269,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3270,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1)))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3271,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB21, constB22)) | v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 24.58/15.90 tff(3272,plain,
% 24.58/15.90 (v121(constB21, bitIndex1) | (~v123(constB22, bitIndex1))),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3271, 494, 2852])).
% 24.58/15.90 tff(3273,plain,
% 24.58/15.90 (~v123(constB22, bitIndex1)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3272, 3268])).
% 24.58/15.90 tff(3274,plain,
% 24.58/15.90 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3275,plain,
% 24.58/15.90 (((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1)) <=> ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3276,plain,
% 24.58/15.90 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22))))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3275])).
% 24.58/15.90 tff(3277,plain,
% 24.58/15.90 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22)))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3276, 3274])).
% 24.58/15.90 tff(3278,plain,
% 24.58/15.90 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB22, bitIndex1)) | (~v94(constB22)) | v123(constB22, bitIndex1))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3279,plain,
% 24.58/15.90 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1) | (~v94(constB22))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3278, 3277])).
% 24.58/15.90 tff(3280,plain,
% 24.58/15.90 ((~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3279, 509, 3221])).
% 24.58/15.90 tff(3281,plain,
% 24.58/15.90 (~v84(constB22, bitIndex1)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3280, 3273])).
% 24.58/15.90 tff(3282,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3283,plain,
% 24.58/15.90 (((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1))) <=> (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3284,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1))))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3283])).
% 24.58/15.90 tff(3285,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3284, 3282])).
% 24.58/15.90 tff(3286,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB22, constB23)) | v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1)))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3287,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB22, bitIndex1) | (~nextState(constB22, constB23)) | v94(constB23) | (~v84(constB23, bitIndex1))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3286, 3285])).
% 24.58/15.90 tff(3288,plain,
% 24.58/15.90 (v84(constB22, bitIndex1) | v94(constB23) | (~v84(constB23, bitIndex1))),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3287, 126, 3235])).
% 24.58/15.90 tff(3289,plain,
% 24.58/15.90 (v84(constB22, bitIndex1) | (~v84(constB23, bitIndex1))),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3288, 3247])).
% 24.58/15.90 tff(3290,plain,
% 24.58/15.90 (~v84(constB23, bitIndex1)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3289, 3281])).
% 24.58/15.90 tff(3291,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB21)) | v124(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB21)) | v124(constB21, bitIndex0))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3292,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB21)) | v124(constB21, bitIndex0))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3293,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB21)) | v124(constB21, bitIndex0)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 24.58/15.90 tff(3294,plain,
% 24.58/15.90 (v124(constB21, bitIndex0)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3293, 1636, 2836])).
% 24.58/15.90 tff(3295,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3296,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3297,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB21) | (~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 24.58/15.90 tff(3298,plain,
% 24.58/15.90 ((~v124(constB21, bitIndex0)) | v121(constB21, bitIndex0)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3297, 547, 2844])).
% 24.58/15.90 tff(3299,plain,
% 24.58/15.90 (v121(constB21, bitIndex0)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3298, 3294])).
% 24.58/15.90 tff(3300,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3301,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3302,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB21, constB22)) | (~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3301, 3300])).
% 24.58/15.90 tff(3303,plain,
% 24.58/15.90 ((~v121(constB21, bitIndex0)) | v123(constB22, bitIndex0)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3302, 562, 2852])).
% 24.58/15.90 tff(3304,plain,
% 24.58/15.90 (v123(constB22, bitIndex0)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3303, 3299])).
% 24.58/15.90 tff(3305,plain,
% 24.58/15.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3306,plain,
% 24.58/15.90 ((v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0))) <=> (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3307,plain,
% 24.58/15.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22))))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3306])).
% 24.58/15.90 tff(3308,plain,
% 24.58/15.90 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22)))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3307, 3305])).
% 24.58/15.90 tff(3309,plain,
% 24.58/15.90 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB22, bitIndex0) | (~v94(constB22)) | (~v123(constB22, bitIndex0)))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3310,plain,
% 24.58/15.90 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0)) | (~v94(constB22))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3309, 3308])).
% 24.58/15.90 tff(3311,plain,
% 24.58/15.90 (v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0))),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3310, 577, 3221])).
% 24.58/15.90 tff(3312,plain,
% 24.58/15.90 (v84(constB22, bitIndex0)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3311, 3304])).
% 24.58/15.90 tff(3313,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3314,plain,
% 24.58/15.90 (((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0)) <=> ((~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3315,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0)))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3314])).
% 24.58/15.90 tff(3316,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3315, 3313])).
% 24.58/15.90 tff(3317,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB22, constB23)) | (~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3318,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB22, bitIndex0)) | (~nextState(constB22, constB23)) | v94(constB23) | v84(constB23, bitIndex0)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3317, 3316])).
% 24.58/15.90 tff(3319,plain,
% 24.58/15.90 ((~v84(constB22, bitIndex0)) | v94(constB23) | v84(constB23, bitIndex0)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3318, 595, 3235])).
% 24.58/15.90 tff(3320,plain,
% 24.58/15.90 ((~v84(constB22, bitIndex0)) | v84(constB23, bitIndex0)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3319, 3247])).
% 24.58/15.90 tff(3321,plain,
% 24.58/15.90 (v84(constB23, bitIndex0)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3320, 3312])).
% 24.58/15.90 tff(3322,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB23, bitIndex0)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v118(constB23))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB23, bitIndex0)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v118(constB23))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3323,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB23, bitIndex0)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v118(constB23))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3324,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB23, bitIndex0)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex2)) | v118(constB23)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 24.58/15.90 tff(3325,plain,
% 24.58/15.90 (v118(constB23)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3324, 1677, 3321, 3290, 3256])).
% 24.58/15.90 tff(3326,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB23)) | v108(constB23))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB23)) | v108(constB23))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3327,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB23)) | v108(constB23))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3328,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB23)) | v108(constB23)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 24.58/15.90 tff(3329,plain,
% 24.58/15.90 (v108(constB23)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3328, 1688, 3325])).
% 24.58/15.90 tff(3330,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB23) | (~v108(constB23)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB23) | (~v108(constB23)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3331,plain,
% 24.58/15.90 (((~v108(constB23)) | v107(constB23)) <=> (v107(constB23) | (~v108(constB23)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3332,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB23)) | v107(constB23))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB23) | (~v108(constB23))))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3331])).
% 24.58/15.90 tff(3333,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB23)) | v107(constB23))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB23) | (~v108(constB23)))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3332, 3330])).
% 24.58/15.90 tff(3334,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB23)) | v107(constB23))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3335,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB23) | (~v108(constB23))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3334, 3333])).
% 24.58/15.90 tff(3336,plain,
% 24.58/15.90 (v107(constB23)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3335, 249, 3329])).
% 24.58/15.90 tff(3337,assumption,(v26(constB23)), introduced(assumption)).
% 24.58/15.90 tff(3338,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB23))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3339,plain,
% 24.58/15.90 ($false),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3338, 18, 3337])).
% 24.58/15.90 tff(3340,plain,(~v26(constB23)), inference(lemma,lemma(discharge,[]))).
% 24.58/15.90 tff(3341,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | v106(constB23) | (~v107(constB23)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3342,plain,
% 24.58/15.90 ((v26(constB23) | (~v107(constB23)) | v106(constB23)) <=> (v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3343,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | v106(constB23) | (~v107(constB23))))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3342])).
% 24.58/15.90 tff(3344,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23)))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3343, 3341])).
% 24.58/15.90 tff(3345,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB23) | (~v107(constB23)) | v106(constB23))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3346,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB23) | v106(constB23) | (~v107(constB23))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3345, 3344])).
% 24.58/15.90 tff(3347,plain,
% 24.58/15.90 (v106(constB23) | (~v107(constB23))),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3346, 263, 3340])).
% 24.58/15.90 tff(3348,plain,
% 24.58/15.90 (v106(constB23)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3347, 3336])).
% 24.58/15.90 tff(3349,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB23) | (~v106(constB23)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB23) | (~v106(constB23)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3350,plain,
% 24.58/15.90 (((~v106(constB23)) | v102(constB23)) <=> (v102(constB23) | (~v106(constB23)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3351,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB23)) | v102(constB23))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB23) | (~v106(constB23))))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3350])).
% 24.58/15.90 tff(3352,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB23)) | v102(constB23))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB23) | (~v106(constB23)))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3351, 3349])).
% 24.58/15.90 tff(3353,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB23)) | v102(constB23))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3354,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB23) | (~v106(constB23))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 24.58/15.90 tff(3355,plain,
% 24.58/15.90 (v102(constB23)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3354, 275, 3348])).
% 24.58/15.90 tff(3356,plain,
% 24.58/15.90 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3357,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_23_1')).
% 24.58/15.90 tff(3358,plain,
% 24.58/15.90 (nextState(constB23, constB24)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3357, 3356])).
% 24.58/15.90 tff(3359,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3360,plain,
% 24.58/15.90 (((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24)) <=> ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3361,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23))))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3360])).
% 24.58/15.90 tff(3362,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23)))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3361, 3359])).
% 24.58/15.90 tff(3363,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB23, constB24)) | (~v102(constB23)) | v104(constB24))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3364,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB23, constB24)) | v104(constB24) | (~v102(constB23))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3363, 3362])).
% 24.58/15.90 tff(3365,plain,
% 24.58/15.90 (v104(constB24) | (~v102(constB23))),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3364, 295, 3358])).
% 24.58/15.90 tff(3366,plain,
% 24.58/15.90 (v104(constB24)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3365, 3355])).
% 24.58/15.90 tff(3367,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3368,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24)))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3369,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB23) | (~nextState(constB23, constB24)) | (~v98(constB24))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 24.58/15.90 tff(3370,plain,
% 24.58/15.90 (~v98(constB24)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3369, 313, 3358, 3232])).
% 24.58/15.90 tff(3371,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3372,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB23, constB24)) | v96(constB24) | v98(constB24))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3373,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB23, constB24)) | v96(constB24) | v98(constB24)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 24.58/15.90 tff(3374,plain,
% 24.58/15.90 (v96(constB24) | v98(constB24)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3373, 327, 3358])).
% 24.58/15.90 tff(3375,plain,
% 24.58/15.90 (v96(constB24)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3374, 3370])).
% 24.58/15.90 tff(3376,plain,
% 24.58/15.90 (v1(constB24) <=> v1(constB24)),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3377,axiom,(v1(constB24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_24_1')).
% 24.58/15.90 tff(3378,plain,
% 24.58/15.90 (v1(constB24)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3377, 3376])).
% 24.58/15.90 tff(3379,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3380,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24)))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3381,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB23, constB24)) | v95(constB24) | (~v96(constB24)) | (~v1(constB24))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3380, 3379])).
% 24.58/15.90 tff(3382,plain,
% 24.58/15.90 (v95(constB24) | (~v96(constB24))),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3381, 345, 3358, 3378])).
% 24.58/15.90 tff(3383,plain,
% 24.58/15.90 (v95(constB24)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3382, 3375])).
% 24.58/15.90 tff(3384,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3385,plain,
% 24.58/15.90 (((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24)) <=> ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3386,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24))))),
% 24.58/15.90 inference(monotonicity,[status(thm)],[3385])).
% 24.58/15.90 tff(3387,plain,
% 24.58/15.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24)))),
% 24.58/15.90 inference(transitivity,[status(thm)],[3386, 3384])).
% 24.58/15.90 tff(3388,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB23, constB24)) | (~v95(constB24)) | (~v104(constB24)) | v94(constB24))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3389,plain,
% 24.58/15.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB23, constB24)) | v94(constB24) | (~v95(constB24)) | (~v104(constB24))),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 24.58/15.90 tff(3390,plain,
% 24.58/15.90 (v94(constB24) | (~v95(constB24)) | (~v104(constB24))),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3389, 360, 3358])).
% 24.58/15.90 tff(3391,plain,
% 24.58/15.90 (v94(constB24) | (~v104(constB24))),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3390, 3383])).
% 24.58/15.90 tff(3392,plain,
% 24.58/15.90 (v94(constB24)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3391, 3366])).
% 24.58/15.90 tff(3393,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB23)) | v124(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB23)) | v124(constB23, bitIndex2))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3394,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB23)) | v124(constB23, bitIndex2))),
% 24.58/15.90 inference(quant_inst,[status(thm)],[])).
% 24.58/15.90 tff(3395,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB23)) | v124(constB23, bitIndex2)),
% 24.58/15.90 inference(modus_ponens,[status(thm)],[3394, 3393])).
% 24.58/15.90 tff(3396,plain,
% 24.58/15.90 (v124(constB23, bitIndex2)),
% 24.58/15.90 inference(unit_resolution,[status(thm)],[3395, 1761, 3325])).
% 24.58/15.90 tff(3397,plain,
% 24.58/15.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))),
% 24.58/15.90 inference(rewrite,[status(thm)],[])).
% 24.58/15.90 tff(3398,plain,
% 24.58/15.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3399,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB23) | (~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3398, 3397])).
% 24.58/15.91 tff(3400,plain,
% 24.58/15.91 ((~v124(constB23, bitIndex2)) | v121(constB23, bitIndex2)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3399, 1287, 3340])).
% 24.58/15.91 tff(3401,plain,
% 24.58/15.91 (v121(constB23, bitIndex2)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3400, 3396])).
% 24.58/15.91 tff(3402,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3403,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3404,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 24.58/15.91 tff(3405,plain,
% 24.58/15.91 ((~v121(constB23, bitIndex2)) | v123(constB24, bitIndex2)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3404, 1302, 3358])).
% 24.58/15.91 tff(3406,plain,
% 24.58/15.91 (v123(constB24, bitIndex2)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3405, 3401])).
% 24.58/15.91 tff(3407,plain,
% 24.58/15.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3408,plain,
% 24.58/15.91 ((v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2))) <=> (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3409,plain,
% 24.58/15.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24))))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3408])).
% 24.58/15.91 tff(3410,plain,
% 24.58/15.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24)))),
% 24.58/15.91 inference(transitivity,[status(thm)],[3409, 3407])).
% 24.58/15.91 tff(3411,plain,
% 24.58/15.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB24, bitIndex2) | (~v94(constB24)) | (~v123(constB24, bitIndex2)))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3412,plain,
% 24.58/15.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2)) | (~v94(constB24))),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 24.58/15.91 tff(3413,plain,
% 24.58/15.91 (v84(constB24, bitIndex2) | (~v94(constB24))),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3412, 1317, 3406])).
% 24.58/15.91 tff(3414,plain,
% 24.58/15.91 (v84(constB24, bitIndex2)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3413, 3392])).
% 24.58/15.91 tff(3415,plain,
% 24.58/15.91 ((~v1(constB25)) <=> (~v1(constB25))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3416,axiom,(~v1(constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_25_1_1')).
% 24.58/15.91 tff(3417,plain,
% 24.58/15.91 (~v1(constB25)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3416, 3415])).
% 24.58/15.91 tff(3418,plain,
% 24.58/15.91 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3419,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_24_1')).
% 24.58/15.91 tff(3420,plain,
% 24.58/15.91 (nextState(constB24, constB25)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 24.58/15.91 tff(3421,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3422,plain,
% 24.58/15.91 (((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25)) <=> (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3423,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25))))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3422])).
% 24.58/15.91 tff(3424,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25)))),
% 24.58/15.91 inference(transitivity,[status(thm)],[3423, 3421])).
% 24.58/15.91 tff(3425,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB24, constB25)) | (~v95(constB25)) | v1(constB25))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3426,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB25) | (~nextState(constB24, constB25)) | (~v95(constB25))),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3425, 3424])).
% 24.58/15.91 tff(3427,plain,
% 24.58/15.91 (~v95(constB25)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3426, 73, 3420, 3417])).
% 24.58/15.91 tff(3428,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3429,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25)))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3430,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB24, constB25)) | v95(constB25) | (~v94(constB25))),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 24.58/15.91 tff(3431,plain,
% 24.58/15.91 (v95(constB25) | (~v94(constB25))),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3430, 90, 3420])).
% 24.58/15.91 tff(3432,plain,
% 24.58/15.91 (~v94(constB25)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3431, 3427])).
% 24.58/15.91 tff(3433,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3434,plain,
% 24.58/15.91 (((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2)) <=> ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3435,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2)))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3434])).
% 24.58/15.91 tff(3436,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2))),
% 24.58/15.91 inference(transitivity,[status(thm)],[3435, 3433])).
% 24.58/15.91 tff(3437,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3438,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB24, bitIndex2)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex2)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3437, 3436])).
% 24.58/15.91 tff(3439,plain,
% 24.58/15.91 ((~v84(constB24, bitIndex2)) | v94(constB25) | v84(constB25, bitIndex2)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3438, 1353, 3420])).
% 24.58/15.91 tff(3440,plain,
% 24.58/15.91 ((~v84(constB24, bitIndex2)) | v84(constB25, bitIndex2)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3439, 3432])).
% 24.58/15.91 tff(3441,plain,
% 24.58/15.91 (v84(constB25, bitIndex2)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3440, 3414])).
% 24.58/15.91 tff(3442,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB23)) | v124(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB23)) | v124(constB23, bitIndex1))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3443,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB23)) | v124(constB23, bitIndex1))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3444,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB23)) | v124(constB23, bitIndex1)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3443, 3442])).
% 24.58/15.91 tff(3445,plain,
% 24.58/15.91 (v124(constB23, bitIndex1)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3444, 1817, 3325])).
% 24.58/15.91 tff(3446,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3447,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3448,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB23) | (~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3447, 3446])).
% 24.58/15.91 tff(3449,plain,
% 24.58/15.91 ((~v124(constB23, bitIndex1)) | v121(constB23, bitIndex1)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3448, 812, 3340])).
% 24.58/15.91 tff(3450,plain,
% 24.58/15.91 (v121(constB23, bitIndex1)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3449, 3445])).
% 24.58/15.91 tff(3451,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3452,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3453,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB23, constB24)) | (~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 24.58/15.91 tff(3454,plain,
% 24.58/15.91 ((~v121(constB23, bitIndex1)) | v123(constB24, bitIndex1)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3453, 827, 3358])).
% 24.58/15.91 tff(3455,plain,
% 24.58/15.91 (v123(constB24, bitIndex1)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3454, 3450])).
% 24.58/15.91 tff(3456,plain,
% 24.58/15.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3457,plain,
% 24.58/15.91 ((v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1))) <=> (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3458,plain,
% 24.58/15.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24))))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3457])).
% 24.58/15.91 tff(3459,plain,
% 24.58/15.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24)))),
% 24.58/15.91 inference(transitivity,[status(thm)],[3458, 3456])).
% 24.58/15.91 tff(3460,plain,
% 24.58/15.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB24, bitIndex1) | (~v94(constB24)) | (~v123(constB24, bitIndex1)))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3461,plain,
% 24.58/15.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1)) | (~v94(constB24))),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3460, 3459])).
% 24.58/15.91 tff(3462,plain,
% 24.58/15.91 (v84(constB24, bitIndex1) | (~v94(constB24))),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3461, 842, 3455])).
% 24.58/15.91 tff(3463,plain,
% 24.58/15.91 (v84(constB24, bitIndex1)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3462, 3392])).
% 24.58/15.91 tff(3464,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3465,plain,
% 24.58/15.91 (((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1)) <=> ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3466,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1)))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3465])).
% 24.58/15.91 tff(3467,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1))),
% 24.58/15.91 inference(transitivity,[status(thm)],[3466, 3464])).
% 24.58/15.91 tff(3468,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB24, constB25)) | (~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3469,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB24, bitIndex1)) | (~nextState(constB24, constB25)) | v94(constB25) | v84(constB25, bitIndex1)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3468, 3467])).
% 24.58/15.91 tff(3470,plain,
% 24.58/15.91 ((~v84(constB24, bitIndex1)) | v94(constB25) | v84(constB25, bitIndex1)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3469, 860, 3420])).
% 24.58/15.91 tff(3471,plain,
% 24.58/15.91 ((~v84(constB24, bitIndex1)) | v84(constB25, bitIndex1)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3470, 3432])).
% 24.58/15.91 tff(3472,plain,
% 24.58/15.91 (v84(constB25, bitIndex1)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3471, 3463])).
% 24.58/15.91 tff(3473,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB23)) | (~v124(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB23)) | (~v124(constB23, bitIndex0)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3474,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB23)) | (~v124(constB23, bitIndex0)))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3475,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB23)) | (~v124(constB23, bitIndex0))),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3474, 3473])).
% 24.58/15.91 tff(3476,plain,
% 24.58/15.91 (~v124(constB23, bitIndex0)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3475, 1855, 3325])).
% 24.58/15.91 tff(3477,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3478,plain,
% 24.58/15.91 ((v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0))) <=> ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3479,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0)))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3478])).
% 24.58/15.91 tff(3480,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0))),
% 24.58/15.91 inference(transitivity,[status(thm)],[3479, 3477])).
% 24.58/15.91 tff(3481,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB23) | v124(constB23, bitIndex0) | (~v121(constB23, bitIndex0)))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3482,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB23, bitIndex0)) | v26(constB23) | v124(constB23, bitIndex0)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3481, 3480])).
% 24.58/15.91 tff(3483,plain,
% 24.58/15.91 ((~v121(constB23, bitIndex0)) | v124(constB23, bitIndex0)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3482, 890, 3340])).
% 24.58/15.91 tff(3484,plain,
% 24.58/15.91 (~v121(constB23, bitIndex0)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3483, 3476])).
% 24.58/15.91 tff(3485,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3486,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0)))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3487,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB23, constB24)) | v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0))),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 24.58/15.91 tff(3488,plain,
% 24.58/15.91 (v121(constB23, bitIndex0) | (~v123(constB24, bitIndex0))),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3487, 908, 3358])).
% 24.58/15.91 tff(3489,plain,
% 24.58/15.91 (~v123(constB24, bitIndex0)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3488, 3484])).
% 24.58/15.91 tff(3490,plain,
% 24.58/15.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3491,plain,
% 24.58/15.91 (((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0)) <=> ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3492,plain,
% 24.58/15.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24))))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3491])).
% 24.58/15.91 tff(3493,plain,
% 24.58/15.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24)))),
% 24.58/15.91 inference(transitivity,[status(thm)],[3492, 3490])).
% 24.58/15.91 tff(3494,plain,
% 24.58/15.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB24, bitIndex0)) | (~v94(constB24)) | v123(constB24, bitIndex0))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3495,plain,
% 24.58/15.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0) | (~v94(constB24))),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 24.58/15.91 tff(3496,plain,
% 24.58/15.91 ((~v84(constB24, bitIndex0)) | (~v94(constB24))),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3495, 923, 3489])).
% 24.58/15.91 tff(3497,plain,
% 24.58/15.91 (~v84(constB24, bitIndex0)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3496, 3392])).
% 24.58/15.91 tff(3498,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3499,plain,
% 24.58/15.91 (((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0))) <=> (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3500,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0))))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3499])).
% 24.58/15.91 tff(3501,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 24.58/15.91 inference(transitivity,[status(thm)],[3500, 3498])).
% 24.58/15.91 tff(3502,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB24, constB25)) | v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0)))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3503,plain,
% 24.58/15.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB24, bitIndex0) | (~nextState(constB24, constB25)) | v94(constB25) | (~v84(constB25, bitIndex0))),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 24.58/15.91 tff(3504,plain,
% 24.58/15.91 (v84(constB24, bitIndex0) | v94(constB25) | (~v84(constB25, bitIndex0))),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3503, 147, 3420])).
% 24.58/15.91 tff(3505,plain,
% 24.58/15.91 (v84(constB24, bitIndex0) | (~v84(constB25, bitIndex0))),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3504, 3432])).
% 24.58/15.91 tff(3506,plain,
% 24.58/15.91 (~v84(constB25, bitIndex0)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3505, 3497])).
% 24.58/15.91 tff(3507,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3508,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3509,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)) | v119(constB25)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3508, 3507])).
% 24.58/15.91 tff(3510,plain,
% 24.58/15.91 (v119(constB25)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3509, 1899, 3506, 3472, 3441])).
% 24.58/15.91 tff(3511,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB25)) | v107(constB25))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB25)) | v107(constB25))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3512,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB25)) | v107(constB25))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3513,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB25)) | v107(constB25)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3512, 3511])).
% 24.58/15.91 tff(3514,plain,
% 24.58/15.91 (v107(constB25)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3513, 1910, 3510])).
% 24.58/15.91 tff(3515,assumption,(v26(constB25)), introduced(assumption)).
% 24.58/15.91 tff(3516,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB25))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3517,plain,
% 24.58/15.91 ($false),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3516, 18, 3515])).
% 24.58/15.91 tff(3518,plain,(~v26(constB25)), inference(lemma,lemma(discharge,[]))).
% 24.58/15.91 tff(3519,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB25) | (~v107(constB25)) | v106(constB25))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB25) | (~v107(constB25)) | v106(constB25))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3520,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB25) | (~v107(constB25)) | v106(constB25))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3521,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB25) | (~v107(constB25)) | v106(constB25)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3520, 3519])).
% 24.58/15.91 tff(3522,plain,
% 24.58/15.91 ((~v107(constB25)) | v106(constB25)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3521, 263, 3518])).
% 24.58/15.91 tff(3523,plain,
% 24.58/15.91 (v106(constB25)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3522, 3514])).
% 24.58/15.91 tff(3524,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB25) | (~v106(constB25)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB25) | (~v106(constB25)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3525,plain,
% 24.58/15.91 (((~v106(constB25)) | v102(constB25)) <=> (v102(constB25) | (~v106(constB25)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3526,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB25)) | v102(constB25))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB25) | (~v106(constB25))))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3525])).
% 24.58/15.91 tff(3527,plain,
% 24.58/15.91 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB25)) | v102(constB25))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB25) | (~v106(constB25)))),
% 24.58/15.91 inference(transitivity,[status(thm)],[3526, 3524])).
% 24.58/15.91 tff(3528,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB25)) | v102(constB25))),
% 24.58/15.91 inference(quant_inst,[status(thm)],[])).
% 24.58/15.91 tff(3529,plain,
% 24.58/15.91 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB25) | (~v106(constB25))),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 24.58/15.91 tff(3530,plain,
% 24.58/15.91 (v102(constB25)),
% 24.58/15.91 inference(unit_resolution,[status(thm)],[3529, 275, 3523])).
% 24.58/15.91 tff(3531,plain,
% 24.58/15.91 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3532,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_25_1')).
% 24.58/15.91 tff(3533,plain,
% 24.58/15.91 (nextState(constB25, constB26)),
% 24.58/15.91 inference(modus_ponens,[status(thm)],[3532, 3531])).
% 24.58/15.91 tff(3534,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3535,plain,
% 24.58/15.91 (((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26)) <=> ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 24.58/15.91 inference(rewrite,[status(thm)],[])).
% 24.58/15.91 tff(3536,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25))))),
% 24.58/15.91 inference(monotonicity,[status(thm)],[3535])).
% 24.58/15.91 tff(3537,plain,
% 24.58/15.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25)))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3536, 3534])).
% 24.58/15.92 tff(3538,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB25, constB26)) | (~v102(constB25)) | v104(constB26))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3539,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB25, constB26)) | v104(constB26) | (~v102(constB25))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3538, 3537])).
% 24.58/15.92 tff(3540,plain,
% 24.58/15.92 (v104(constB26) | (~v102(constB25))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3539, 295, 3533])).
% 24.58/15.92 tff(3541,plain,
% 24.58/15.92 (v104(constB26)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3540, 3530])).
% 24.58/15.92 tff(3542,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3543,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3544,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB25) | (~nextState(constB25, constB26)) | (~v98(constB26))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3543, 3542])).
% 24.58/15.92 tff(3545,plain,
% 24.58/15.92 (~v98(constB26)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3544, 313, 3533, 3417])).
% 24.58/15.92 tff(3546,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3547,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB25, constB26)) | v96(constB26) | v98(constB26))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3548,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB25, constB26)) | v96(constB26) | v98(constB26)),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3547, 3546])).
% 24.58/15.92 tff(3549,plain,
% 24.58/15.92 (v96(constB26) | v98(constB26)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3548, 327, 3533])).
% 24.58/15.92 tff(3550,plain,
% 24.58/15.92 (v96(constB26)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3549, 3545])).
% 24.58/15.92 tff(3551,plain,
% 24.58/15.92 (v1(constB26) <=> v1(constB26)),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3552,axiom,(v1(constB26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_26_1')).
% 24.58/15.92 tff(3553,plain,
% 24.58/15.92 (v1(constB26)),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3552, 3551])).
% 24.58/15.92 tff(3554,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3555,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3556,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB25, constB26)) | v95(constB26) | (~v96(constB26)) | (~v1(constB26))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3555, 3554])).
% 24.58/15.92 tff(3557,plain,
% 24.58/15.92 (v95(constB26) | (~v96(constB26))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3556, 345, 3533, 3553])).
% 24.58/15.92 tff(3558,plain,
% 24.58/15.92 (v95(constB26)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3557, 3550])).
% 24.58/15.92 tff(3559,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3560,plain,
% 24.58/15.92 (((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26)) <=> ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3561,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26))))),
% 24.58/15.92 inference(monotonicity,[status(thm)],[3560])).
% 24.58/15.92 tff(3562,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26)))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3561, 3559])).
% 24.58/15.92 tff(3563,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB25, constB26)) | (~v95(constB26)) | (~v104(constB26)) | v94(constB26))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3564,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB25, constB26)) | v94(constB26) | (~v95(constB26)) | (~v104(constB26))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3563, 3562])).
% 24.58/15.92 tff(3565,plain,
% 24.58/15.92 (v94(constB26) | (~v95(constB26)) | (~v104(constB26))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3564, 360, 3533])).
% 24.58/15.92 tff(3566,plain,
% 24.58/15.92 (v94(constB26) | (~v104(constB26))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3565, 3558])).
% 24.58/15.92 tff(3567,plain,
% 24.58/15.92 (v94(constB26)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3566, 3541])).
% 24.58/15.92 tff(3568,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB25)) | (~v84(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB25)) | (~v84(constB25, bitIndex2)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3569,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB25)) | (~v84(constB25, bitIndex2)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3570,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB25)) | (~v84(constB25, bitIndex2))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 24.58/15.92 tff(3571,plain,
% 24.58/15.92 (~v115(constB25)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3570, 1974, 3441])).
% 24.58/15.92 tff(3572,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB25)) | (~v84(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB25)) | (~v84(constB25, bitIndex2)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3573,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB25)) | (~v84(constB25, bitIndex2)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3574,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB25)) | (~v84(constB25, bitIndex2))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 24.58/15.92 tff(3575,plain,
% 24.58/15.92 (~v116(constB25)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3574, 1985, 3441])).
% 24.58/15.92 tff(3576,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB25)) | (~v84(constB25, bitIndex1)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3577,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB25)) | (~v84(constB25, bitIndex1)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3578,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB25)) | (~v84(constB25, bitIndex1))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3577, 3576])).
% 24.58/15.92 tff(3579,plain,
% 24.58/15.92 (~v113(constB25)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3578, 1996, 3472])).
% 24.58/15.92 tff(3580,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB25)) | (~v84(constB25, bitIndex1)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3581,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB25)) | (~v84(constB25, bitIndex1)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3582,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB25)) | (~v84(constB25, bitIndex1))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3581, 3580])).
% 24.58/15.92 tff(3583,plain,
% 24.58/15.92 (~v118(constB25)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3582, 2007, 3472])).
% 24.58/15.92 tff(3584,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB25)) | (~v84(constB25, bitIndex1)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3585,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB25)) | (~v84(constB25, bitIndex1)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3586,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB25)) | (~v84(constB25, bitIndex1))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3585, 3584])).
% 24.58/15.92 tff(3587,plain,
% 24.58/15.92 (~v172(constB25)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3586, 2029, 3472])).
% 24.58/15.92 tff(3588,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB25)) | (~v84(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB25)) | (~v84(constB25, bitIndex1)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3589,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB25)) | (~v84(constB25, bitIndex1)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3590,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB25)) | (~v84(constB25, bitIndex1))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 24.58/15.92 tff(3591,plain,
% 24.58/15.92 (~v145(constB25)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3590, 2018, 3472])).
% 24.58/15.92 tff(3592,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3593,plain,
% 24.58/15.92 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2))) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3594,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2))))),
% 24.58/15.92 inference(monotonicity,[status(thm)],[3593])).
% 24.58/15.92 tff(3595,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2)))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3594, 3592])).
% 24.58/15.92 tff(3596,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex2)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3597,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex2))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3596, 3595])).
% 24.58/15.92 tff(3598,plain,
% 24.58/15.92 (~v124(constB25, bitIndex2)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3597, 2043, 3591, 3587, 3583, 3579, 3575, 3571])).
% 24.58/15.92 tff(3599,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3600,plain,
% 24.58/15.92 ((v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2))) <=> ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3601,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2)))),
% 24.58/15.92 inference(monotonicity,[status(thm)],[3600])).
% 24.58/15.92 tff(3602,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3601, 3599])).
% 24.58/15.92 tff(3603,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB25) | v124(constB25, bitIndex2) | (~v121(constB25, bitIndex2)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3604,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB25, bitIndex2)) | v26(constB25) | v124(constB25, bitIndex2)),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3603, 3602])).
% 24.58/15.92 tff(3605,plain,
% 24.58/15.92 ((~v121(constB25, bitIndex2)) | v124(constB25, bitIndex2)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3604, 390, 3518])).
% 24.58/15.92 tff(3606,plain,
% 24.58/15.92 (~v121(constB25, bitIndex2)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3605, 3598])).
% 24.58/15.92 tff(3607,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3608,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3609,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3608, 3607])).
% 24.58/15.92 tff(3610,plain,
% 24.58/15.92 (v121(constB25, bitIndex2) | (~v123(constB26, bitIndex2))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3609, 408, 3533])).
% 24.58/15.92 tff(3611,plain,
% 24.58/15.92 (~v123(constB26, bitIndex2)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3610, 3606])).
% 24.58/15.92 tff(3612,plain,
% 24.58/15.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3613,plain,
% 24.58/15.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3614,plain,
% 24.58/15.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2) | (~v94(constB26))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3613, 3612])).
% 24.58/15.92 tff(3615,plain,
% 24.58/15.92 ((~v84(constB26, bitIndex2)) | (~v94(constB26))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3614, 423, 3611])).
% 24.58/15.92 tff(3616,plain,
% 24.58/15.92 (~v84(constB26, bitIndex2)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3615, 3567])).
% 24.58/15.92 tff(3617,plain,
% 24.58/15.92 ((~v1(constB27)) <=> (~v1(constB27))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3618,axiom,(~v1(constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_27_1_1')).
% 24.58/15.92 tff(3619,plain,
% 24.58/15.92 (~v1(constB27)),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 24.58/15.92 tff(3620,plain,
% 24.58/15.92 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3621,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_26_1')).
% 24.58/15.92 tff(3622,plain,
% 24.58/15.92 (nextState(constB26, constB27)),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3621, 3620])).
% 24.58/15.92 tff(3623,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3624,plain,
% 24.58/15.92 (((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27)) <=> (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3625,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27))))),
% 24.58/15.92 inference(monotonicity,[status(thm)],[3624])).
% 24.58/15.92 tff(3626,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27)))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3625, 3623])).
% 24.58/15.92 tff(3627,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB26, constB27)) | (~v95(constB27)) | v1(constB27))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3628,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB27) | (~nextState(constB26, constB27)) | (~v95(constB27))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3627, 3626])).
% 24.58/15.92 tff(3629,plain,
% 24.58/15.92 (~v95(constB27)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3628, 73, 3622, 3619])).
% 24.58/15.92 tff(3630,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3631,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3632,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB26, constB27)) | v95(constB27) | (~v94(constB27))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3631, 3630])).
% 24.58/15.92 tff(3633,plain,
% 24.58/15.92 (v95(constB27) | (~v94(constB27))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3632, 90, 3622])).
% 24.58/15.92 tff(3634,plain,
% 24.58/15.92 (~v94(constB27)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3633, 3629])).
% 24.58/15.92 tff(3635,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3636,plain,
% 24.58/15.92 (((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2))) <=> (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3637,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2))))),
% 24.58/15.92 inference(monotonicity,[status(thm)],[3636])).
% 24.58/15.92 tff(3638,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3637, 3635])).
% 24.58/15.92 tff(3639,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3640,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB26, bitIndex2) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex2))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3639, 3638])).
% 24.58/15.92 tff(3641,plain,
% 24.58/15.92 (v84(constB26, bitIndex2) | v94(constB27) | (~v84(constB27, bitIndex2))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3640, 105, 3622])).
% 24.58/15.92 tff(3642,plain,
% 24.58/15.92 (v84(constB26, bitIndex2) | (~v84(constB27, bitIndex2))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3641, 3634])).
% 24.58/15.92 tff(3643,plain,
% 24.58/15.92 (~v84(constB27, bitIndex2)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3642, 3616])).
% 24.58/15.92 tff(3644,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3645,plain,
% 24.58/15.92 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1))) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3646,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1))))),
% 24.58/15.92 inference(monotonicity,[status(thm)],[3645])).
% 24.58/15.92 tff(3647,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1)))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3646, 3644])).
% 24.58/15.92 tff(3648,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | (~v124(constB25, bitIndex1)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3649,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | (~v124(constB25, bitIndex1))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 24.58/15.92 tff(3650,plain,
% 24.58/15.92 (~v124(constB25, bitIndex1)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3649, 2105, 3591, 3587, 3583, 3579, 3575, 3571])).
% 24.58/15.92 tff(3651,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3652,plain,
% 24.58/15.92 ((v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1))) <=> ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3653,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1)))),
% 24.58/15.92 inference(monotonicity,[status(thm)],[3652])).
% 24.58/15.92 tff(3654,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3653, 3651])).
% 24.58/15.92 tff(3655,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB25) | v124(constB25, bitIndex1) | (~v121(constB25, bitIndex1)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3656,plain,
% 24.58/15.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB25, bitIndex1)) | v26(constB25) | v124(constB25, bitIndex1)),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3655, 3654])).
% 24.58/15.92 tff(3657,plain,
% 24.58/15.92 ((~v121(constB25, bitIndex1)) | v124(constB25, bitIndex1)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3656, 476, 3518])).
% 24.58/15.92 tff(3658,plain,
% 24.58/15.92 (~v121(constB25, bitIndex1)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3657, 3650])).
% 24.58/15.92 tff(3659,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3660,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3661,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB25, constB26)) | v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3660, 3659])).
% 24.58/15.92 tff(3662,plain,
% 24.58/15.92 (v121(constB25, bitIndex1) | (~v123(constB26, bitIndex1))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3661, 494, 3533])).
% 24.58/15.92 tff(3663,plain,
% 24.58/15.92 (~v123(constB26, bitIndex1)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3662, 3658])).
% 24.58/15.92 tff(3664,plain,
% 24.58/15.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3665,plain,
% 24.58/15.92 (((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1)) <=> ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3666,plain,
% 24.58/15.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26))))),
% 24.58/15.92 inference(monotonicity,[status(thm)],[3665])).
% 24.58/15.92 tff(3667,plain,
% 24.58/15.92 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26)))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3666, 3664])).
% 24.58/15.92 tff(3668,plain,
% 24.58/15.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB26, bitIndex1)) | (~v94(constB26)) | v123(constB26, bitIndex1))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3669,plain,
% 24.58/15.92 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1) | (~v94(constB26))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3668, 3667])).
% 24.58/15.92 tff(3670,plain,
% 24.58/15.92 ((~v84(constB26, bitIndex1)) | (~v94(constB26))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3669, 509, 3663])).
% 24.58/15.92 tff(3671,plain,
% 24.58/15.92 (~v84(constB26, bitIndex1)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3670, 3567])).
% 24.58/15.92 tff(3672,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3673,plain,
% 24.58/15.92 (((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1))) <=> (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3674,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1))))),
% 24.58/15.92 inference(monotonicity,[status(thm)],[3673])).
% 24.58/15.92 tff(3675,plain,
% 24.58/15.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 24.58/15.92 inference(transitivity,[status(thm)],[3674, 3672])).
% 24.58/15.92 tff(3676,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB26, constB27)) | v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1)))),
% 24.58/15.92 inference(quant_inst,[status(thm)],[])).
% 24.58/15.92 tff(3677,plain,
% 24.58/15.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB26, bitIndex1) | (~nextState(constB26, constB27)) | v94(constB27) | (~v84(constB27, bitIndex1))),
% 24.58/15.92 inference(modus_ponens,[status(thm)],[3676, 3675])).
% 24.58/15.92 tff(3678,plain,
% 24.58/15.92 (v84(constB26, bitIndex1) | v94(constB27) | (~v84(constB27, bitIndex1))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3677, 126, 3622])).
% 24.58/15.92 tff(3679,plain,
% 24.58/15.92 (v84(constB26, bitIndex1) | (~v84(constB27, bitIndex1))),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3678, 3634])).
% 24.58/15.92 tff(3680,plain,
% 24.58/15.92 (~v84(constB27, bitIndex1)),
% 24.58/15.92 inference(unit_resolution,[status(thm)],[3679, 3671])).
% 24.58/15.92 tff(3681,plain,
% 24.58/15.92 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 24.58/15.92 inference(rewrite,[status(thm)],[])).
% 24.58/15.92 tff(3682,plain,
% 24.58/15.92 ((v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0)) <=> (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3683,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0)))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3682])).
% 24.58/15.93 tff(3684,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0))),
% 24.58/15.93 inference(transitivity,[status(thm)],[3683, 3681])).
% 24.58/15.93 tff(3685,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB25) | v145(constB25) | v115(constB25) | v116(constB25) | v172(constB25) | v118(constB25) | v124(constB25, bitIndex0))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3686,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB25) | v145(constB25) | v118(constB25) | v116(constB25) | v115(constB25) | v113(constB25) | v124(constB25, bitIndex0)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3685, 3684])).
% 24.58/15.93 tff(3687,plain,
% 24.58/15.93 (v124(constB25, bitIndex0)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3686, 2152, 3591, 3587, 3583, 3579, 3575, 3571])).
% 24.58/15.93 tff(3688,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3689,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3690,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB25) | (~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3689, 3688])).
% 24.58/15.93 tff(3691,plain,
% 24.58/15.93 ((~v124(constB25, bitIndex0)) | v121(constB25, bitIndex0)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3690, 547, 3518])).
% 24.58/15.93 tff(3692,plain,
% 24.58/15.93 (v121(constB25, bitIndex0)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3691, 3687])).
% 24.58/15.93 tff(3693,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3694,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3695,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB25, constB26)) | (~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 24.58/15.93 tff(3696,plain,
% 24.58/15.93 ((~v121(constB25, bitIndex0)) | v123(constB26, bitIndex0)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3695, 562, 3533])).
% 24.58/15.93 tff(3697,plain,
% 24.58/15.93 (v123(constB26, bitIndex0)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3696, 3692])).
% 24.58/15.93 tff(3698,plain,
% 24.58/15.93 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3699,plain,
% 24.58/15.93 ((v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0))) <=> (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3700,plain,
% 24.58/15.93 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26))))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3699])).
% 24.58/15.93 tff(3701,plain,
% 24.58/15.93 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26)))),
% 24.58/15.93 inference(transitivity,[status(thm)],[3700, 3698])).
% 24.58/15.93 tff(3702,plain,
% 24.58/15.93 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB26, bitIndex0) | (~v94(constB26)) | (~v123(constB26, bitIndex0)))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3703,plain,
% 24.58/15.93 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0)) | (~v94(constB26))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 24.58/15.93 tff(3704,plain,
% 24.58/15.93 (v84(constB26, bitIndex0) | (~v94(constB26))),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3703, 577, 3697])).
% 24.58/15.93 tff(3705,plain,
% 24.58/15.93 (v84(constB26, bitIndex0)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3704, 3567])).
% 24.58/15.93 tff(3706,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3707,plain,
% 24.58/15.93 (((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0)) <=> ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3708,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0)))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3707])).
% 24.58/15.93 tff(3709,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0))),
% 24.58/15.93 inference(transitivity,[status(thm)],[3708, 3706])).
% 24.58/15.93 tff(3710,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB26, constB27)) | (~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3711,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB26, bitIndex0)) | (~nextState(constB26, constB27)) | v94(constB27) | v84(constB27, bitIndex0)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 24.58/15.93 tff(3712,plain,
% 24.58/15.93 ((~v84(constB26, bitIndex0)) | v94(constB27) | v84(constB27, bitIndex0)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3711, 595, 3622])).
% 24.58/15.93 tff(3713,plain,
% 24.58/15.93 ((~v84(constB26, bitIndex0)) | v84(constB27, bitIndex0)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3712, 3634])).
% 24.58/15.93 tff(3714,plain,
% 24.58/15.93 (v84(constB27, bitIndex0)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3713, 3705])).
% 24.58/15.93 tff(3715,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3716,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3717,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB27, bitIndex0)) | v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | v145(constB27)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3716, 3715])).
% 24.58/15.93 tff(3718,plain,
% 24.58/15.93 (v145(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3717, 614, 3714, 3680, 3643])).
% 24.58/15.93 tff(3719,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB27) | (~v145(constB27)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB27) | (~v145(constB27)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3720,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB27) | (~v145(constB27)))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3721,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB27) | (~v145(constB27))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3720, 3719])).
% 24.58/15.93 tff(3722,plain,
% 24.58/15.93 (v112(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3721, 677, 3718])).
% 24.58/15.93 tff(3723,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB27)) | v111(constB27))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB27)) | v111(constB27))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3724,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB27)) | v111(constB27))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3725,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB27)) | v111(constB27)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 24.58/15.93 tff(3726,plain,
% 24.58/15.93 (v111(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3725, 193, 3722])).
% 24.58/15.93 tff(3727,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB27)) | v110(constB27))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB27)) | v110(constB27))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3728,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB27)) | v110(constB27))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3729,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB27)) | v110(constB27)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3728, 3727])).
% 24.58/15.93 tff(3730,plain,
% 24.58/15.93 (v110(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3729, 207, 3726])).
% 24.58/15.93 tff(3731,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB27) | (~v110(constB27)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB27) | (~v110(constB27)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3732,plain,
% 24.58/15.93 (((~v110(constB27)) | v109(constB27)) <=> (v109(constB27) | (~v110(constB27)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3733,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB27)) | v109(constB27))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB27) | (~v110(constB27))))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3732])).
% 24.58/15.93 tff(3734,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB27)) | v109(constB27))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB27) | (~v110(constB27)))),
% 24.58/15.93 inference(transitivity,[status(thm)],[3733, 3731])).
% 24.58/15.93 tff(3735,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB27)) | v109(constB27))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3736,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB27) | (~v110(constB27))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 24.58/15.93 tff(3737,plain,
% 24.58/15.93 (v109(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3736, 221, 3730])).
% 24.58/15.93 tff(3738,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB27)) | v108(constB27))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB27)) | v108(constB27))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3739,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB27)) | v108(constB27))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3740,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB27)) | v108(constB27)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3739, 3738])).
% 24.58/15.93 tff(3741,plain,
% 24.58/15.93 (v108(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3740, 235, 3737])).
% 24.58/15.93 tff(3742,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB27) | (~v108(constB27)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB27) | (~v108(constB27)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3743,plain,
% 24.58/15.93 (((~v108(constB27)) | v107(constB27)) <=> (v107(constB27) | (~v108(constB27)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3744,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB27)) | v107(constB27))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB27) | (~v108(constB27))))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3743])).
% 24.58/15.93 tff(3745,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB27)) | v107(constB27))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB27) | (~v108(constB27)))),
% 24.58/15.93 inference(transitivity,[status(thm)],[3744, 3742])).
% 24.58/15.93 tff(3746,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB27)) | v107(constB27))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3747,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB27) | (~v108(constB27))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 24.58/15.93 tff(3748,plain,
% 24.58/15.93 (v107(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3747, 249, 3741])).
% 24.58/15.93 tff(3749,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | (~v107(constB27)) | v106(constB27))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB27) | (~v107(constB27)) | v106(constB27))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3750,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB27) | (~v107(constB27)) | v106(constB27))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3751,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB27) | (~v107(constB27)) | v106(constB27)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 24.58/15.93 tff(3752,plain,
% 24.58/15.93 (v26(constB27) | v106(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3751, 263, 3748])).
% 24.58/15.93 tff(3753,plain,
% 24.58/15.93 (v106(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3752, 29])).
% 24.58/15.93 tff(3754,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB27) | (~v106(constB27)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB27) | (~v106(constB27)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3755,plain,
% 24.58/15.93 (((~v106(constB27)) | v102(constB27)) <=> (v102(constB27) | (~v106(constB27)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3756,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB27)) | v102(constB27))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB27) | (~v106(constB27))))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3755])).
% 24.58/15.93 tff(3757,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB27)) | v102(constB27))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB27) | (~v106(constB27)))),
% 24.58/15.93 inference(transitivity,[status(thm)],[3756, 3754])).
% 24.58/15.93 tff(3758,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB27)) | v102(constB27))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3759,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB27) | (~v106(constB27))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 24.58/15.93 tff(3760,plain,
% 24.58/15.93 (v102(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3759, 275, 3753])).
% 24.58/15.93 tff(3761,plain,
% 24.58/15.93 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3762,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_27_1')).
% 24.58/15.93 tff(3763,plain,
% 24.58/15.93 (nextState(constB27, constB28)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 24.58/15.93 tff(3764,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3765,plain,
% 24.58/15.93 (((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28)) <=> ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3766,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27))))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3765])).
% 24.58/15.93 tff(3767,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27)))),
% 24.58/15.93 inference(transitivity,[status(thm)],[3766, 3764])).
% 24.58/15.93 tff(3768,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB27, constB28)) | (~v102(constB27)) | v104(constB28))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3769,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB27, constB28)) | v104(constB28) | (~v102(constB27))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3768, 3767])).
% 24.58/15.93 tff(3770,plain,
% 24.58/15.93 (v104(constB28) | (~v102(constB27))),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3769, 295, 3763])).
% 24.58/15.93 tff(3771,plain,
% 24.58/15.93 (v104(constB28)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3770, 3760])).
% 24.58/15.93 tff(3772,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3773,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28)))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3774,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB27) | (~nextState(constB27, constB28)) | (~v98(constB28))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 24.58/15.93 tff(3775,plain,
% 24.58/15.93 (~v98(constB28)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3774, 313, 3763, 3619])).
% 24.58/15.93 tff(3776,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3777,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB27, constB28)) | v96(constB28) | v98(constB28))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3778,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB27, constB28)) | v96(constB28) | v98(constB28)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 24.58/15.93 tff(3779,plain,
% 24.58/15.93 (v96(constB28) | v98(constB28)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3778, 327, 3763])).
% 24.58/15.93 tff(3780,plain,
% 24.58/15.93 (v96(constB28)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3779, 3775])).
% 24.58/15.93 tff(3781,plain,
% 24.58/15.93 (v1(constB28) <=> v1(constB28)),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3782,axiom,(v1(constB28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_28_1')).
% 24.58/15.93 tff(3783,plain,
% 24.58/15.93 (v1(constB28)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3782, 3781])).
% 24.58/15.93 tff(3784,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3785,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28)))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3786,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB27, constB28)) | v95(constB28) | (~v96(constB28)) | (~v1(constB28))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 24.58/15.93 tff(3787,plain,
% 24.58/15.93 (v95(constB28) | (~v96(constB28))),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3786, 345, 3763, 3783])).
% 24.58/15.93 tff(3788,plain,
% 24.58/15.93 (v95(constB28)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3787, 3780])).
% 24.58/15.93 tff(3789,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3790,plain,
% 24.58/15.93 (((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28)) <=> ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3791,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28))))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3790])).
% 24.58/15.93 tff(3792,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28)))),
% 24.58/15.93 inference(transitivity,[status(thm)],[3791, 3789])).
% 24.58/15.93 tff(3793,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB27, constB28)) | (~v95(constB28)) | (~v104(constB28)) | v94(constB28))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3794,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB27, constB28)) | v94(constB28) | (~v95(constB28)) | (~v104(constB28))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 24.58/15.93 tff(3795,plain,
% 24.58/15.93 (v94(constB28) | (~v95(constB28)) | (~v104(constB28))),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3794, 360, 3763])).
% 24.58/15.93 tff(3796,plain,
% 24.58/15.93 (v94(constB28) | (~v104(constB28))),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3795, 3788])).
% 24.58/15.93 tff(3797,plain,
% 24.58/15.93 (v94(constB28)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3796, 3771])).
% 24.58/15.93 tff(3798,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB27)) | (~v124(constB27, bitIndex2)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3799,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex2)))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3800,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB27)) | (~v124(constB27, bitIndex2))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3799, 3798])).
% 24.58/15.93 tff(3801,plain,
% 24.58/15.93 (~v124(constB27, bitIndex2)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3800, 625, 3718])).
% 24.58/15.93 tff(3802,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3803,plain,
% 24.58/15.93 ((v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2))) <=> ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3804,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2)))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3803])).
% 24.58/15.93 tff(3805,plain,
% 24.58/15.93 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2))),
% 24.58/15.93 inference(transitivity,[status(thm)],[3804, 3802])).
% 24.58/15.93 tff(3806,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB27) | v124(constB27, bitIndex2) | (~v121(constB27, bitIndex2)))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3807,plain,
% 24.58/15.93 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB27, bitIndex2)) | v26(constB27) | v124(constB27, bitIndex2)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3806, 3805])).
% 24.58/15.93 tff(3808,plain,
% 24.58/15.93 ((~v121(constB27, bitIndex2)) | v26(constB27)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3807, 390, 3801])).
% 24.58/15.93 tff(3809,plain,
% 24.58/15.93 (~v121(constB27, bitIndex2)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3808, 29])).
% 24.58/15.93 tff(3810,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3811,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2)))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3812,plain,
% 24.58/15.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3811, 3810])).
% 24.58/15.93 tff(3813,plain,
% 24.58/15.93 (v121(constB27, bitIndex2) | (~v123(constB28, bitIndex2))),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3812, 408, 3763])).
% 24.58/15.93 tff(3814,plain,
% 24.58/15.93 (~v123(constB28, bitIndex2)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3813, 3809])).
% 24.58/15.93 tff(3815,plain,
% 24.58/15.93 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3816,plain,
% 24.58/15.93 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28)))),
% 24.58/15.93 inference(quant_inst,[status(thm)],[])).
% 24.58/15.93 tff(3817,plain,
% 24.58/15.93 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2) | (~v94(constB28))),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 24.58/15.93 tff(3818,plain,
% 24.58/15.93 ((~v84(constB28, bitIndex2)) | (~v94(constB28))),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3817, 423, 3814])).
% 24.58/15.93 tff(3819,plain,
% 24.58/15.93 (~v84(constB28, bitIndex2)),
% 24.58/15.93 inference(unit_resolution,[status(thm)],[3818, 3797])).
% 24.58/15.93 tff(3820,plain,
% 24.58/15.93 ((~v1(constB29)) <=> (~v1(constB29))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3821,axiom,(~v1(constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_29_1_1')).
% 24.58/15.93 tff(3822,plain,
% 24.58/15.93 (~v1(constB29)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3821, 3820])).
% 24.58/15.93 tff(3823,plain,
% 24.58/15.93 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3824,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_28_1')).
% 24.58/15.93 tff(3825,plain,
% 24.58/15.93 (nextState(constB28, constB29)),
% 24.58/15.93 inference(modus_ponens,[status(thm)],[3824, 3823])).
% 24.58/15.93 tff(3826,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3827,plain,
% 24.58/15.93 (((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29)) <=> (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 24.58/15.93 inference(rewrite,[status(thm)],[])).
% 24.58/15.93 tff(3828,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29))))),
% 24.58/15.93 inference(monotonicity,[status(thm)],[3827])).
% 24.58/15.93 tff(3829,plain,
% 24.58/15.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3828, 3826])).
% 24.58/15.94 tff(3830,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB28, constB29)) | (~v95(constB29)) | v1(constB29))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3831,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB29) | (~nextState(constB28, constB29)) | (~v95(constB29))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3830, 3829])).
% 24.58/15.94 tff(3832,plain,
% 24.58/15.94 (~v95(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3831, 73, 3825, 3822])).
% 24.58/15.94 tff(3833,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3834,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29)))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3835,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB28, constB29)) | v95(constB29) | (~v94(constB29))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3834, 3833])).
% 24.58/15.94 tff(3836,plain,
% 24.58/15.94 (v95(constB29) | (~v94(constB29))),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3835, 90, 3825])).
% 24.58/15.94 tff(3837,plain,
% 24.58/15.94 (~v94(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3836, 3832])).
% 24.58/15.94 tff(3838,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3839,plain,
% 24.58/15.94 (((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2))) <=> (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3840,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3839])).
% 24.58/15.94 tff(3841,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3840, 3838])).
% 24.58/15.94 tff(3842,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2)))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3843,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB28, bitIndex2) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex2))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3842, 3841])).
% 24.58/15.94 tff(3844,plain,
% 24.58/15.94 (v84(constB28, bitIndex2) | v94(constB29) | (~v84(constB29, bitIndex2))),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3843, 105, 3825])).
% 24.58/15.94 tff(3845,plain,
% 24.58/15.94 (v84(constB28, bitIndex2) | (~v84(constB29, bitIndex2))),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3844, 3837])).
% 24.58/15.94 tff(3846,plain,
% 24.58/15.94 (~v84(constB29, bitIndex2)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3845, 3819])).
% 24.58/15.94 tff(3847,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB27)) | v124(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB27)) | v124(constB27, bitIndex1))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3848,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB27)) | v124(constB27, bitIndex1))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3849,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB27)) | v124(constB27, bitIndex1)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3848, 3847])).
% 24.58/15.94 tff(3850,plain,
% 24.58/15.94 (v124(constB27, bitIndex1)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3849, 798, 3718])).
% 24.58/15.94 tff(3851,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3852,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3853,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB27) | (~v124(constB27, bitIndex1)) | v121(constB27, bitIndex1)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3852, 3851])).
% 24.58/15.94 tff(3854,plain,
% 24.58/15.94 (v26(constB27) | v121(constB27, bitIndex1)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3853, 812, 3850])).
% 24.58/15.94 tff(3855,plain,
% 24.58/15.94 (v121(constB27, bitIndex1)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3854, 29])).
% 24.58/15.94 tff(3856,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3857,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3858,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB27, constB28)) | (~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3857, 3856])).
% 24.58/15.94 tff(3859,plain,
% 24.58/15.94 ((~v121(constB27, bitIndex1)) | v123(constB28, bitIndex1)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3858, 827, 3763])).
% 24.58/15.94 tff(3860,plain,
% 24.58/15.94 (v123(constB28, bitIndex1)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3859, 3855])).
% 24.58/15.94 tff(3861,plain,
% 24.58/15.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3862,plain,
% 24.58/15.94 ((v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1))) <=> (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3863,plain,
% 24.58/15.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3862])).
% 24.58/15.94 tff(3864,plain,
% 24.58/15.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3863, 3861])).
% 24.58/15.94 tff(3865,plain,
% 24.58/15.94 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB28, bitIndex1) | (~v94(constB28)) | (~v123(constB28, bitIndex1)))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3866,plain,
% 24.58/15.94 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1)) | (~v94(constB28))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 24.58/15.94 tff(3867,plain,
% 24.58/15.94 (v84(constB28, bitIndex1) | (~v94(constB28))),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3866, 842, 3860])).
% 24.58/15.94 tff(3868,plain,
% 24.58/15.94 (v84(constB28, bitIndex1)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3867, 3797])).
% 24.58/15.94 tff(3869,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3870,plain,
% 24.58/15.94 (((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1)) <=> ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3871,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1)))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3870])).
% 24.58/15.94 tff(3872,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3871, 3869])).
% 24.58/15.94 tff(3873,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB28, constB29)) | (~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3874,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB28, bitIndex1)) | (~nextState(constB28, constB29)) | v94(constB29) | v84(constB29, bitIndex1)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3873, 3872])).
% 24.58/15.94 tff(3875,plain,
% 24.58/15.94 ((~v84(constB28, bitIndex1)) | v94(constB29) | v84(constB29, bitIndex1)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3874, 860, 3825])).
% 24.58/15.94 tff(3876,plain,
% 24.58/15.94 ((~v84(constB28, bitIndex1)) | v84(constB29, bitIndex1)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3875, 3837])).
% 24.58/15.94 tff(3877,plain,
% 24.58/15.94 (v84(constB29, bitIndex1)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3876, 3868])).
% 24.58/15.94 tff(3878,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB27)) | (~v124(constB27, bitIndex0)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3879,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB27)) | (~v124(constB27, bitIndex0)))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3880,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB27)) | (~v124(constB27, bitIndex0))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3879, 3878])).
% 24.58/15.94 tff(3881,plain,
% 24.58/15.94 (~v124(constB27, bitIndex0)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3880, 876, 3718])).
% 24.58/15.94 tff(3882,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3883,plain,
% 24.58/15.94 ((v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0))) <=> ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3884,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0)))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3883])).
% 24.58/15.94 tff(3885,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3884, 3882])).
% 24.58/15.94 tff(3886,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB27) | v124(constB27, bitIndex0) | (~v121(constB27, bitIndex0)))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3887,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB27, bitIndex0)) | v26(constB27) | v124(constB27, bitIndex0)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3886, 3885])).
% 24.58/15.94 tff(3888,plain,
% 24.58/15.94 ((~v121(constB27, bitIndex0)) | v26(constB27)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3887, 890, 3881])).
% 24.58/15.94 tff(3889,plain,
% 24.58/15.94 (~v121(constB27, bitIndex0)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3888, 29])).
% 24.58/15.94 tff(3890,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3891,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0)))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3892,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB27, constB28)) | v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3891, 3890])).
% 24.58/15.94 tff(3893,plain,
% 24.58/15.94 (v121(constB27, bitIndex0) | (~v123(constB28, bitIndex0))),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3892, 908, 3763])).
% 24.58/15.94 tff(3894,plain,
% 24.58/15.94 (~v123(constB28, bitIndex0)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3893, 3889])).
% 24.58/15.94 tff(3895,plain,
% 24.58/15.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3896,plain,
% 24.58/15.94 (((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0)) <=> ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3897,plain,
% 24.58/15.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3896])).
% 24.58/15.94 tff(3898,plain,
% 24.58/15.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3897, 3895])).
% 24.58/15.94 tff(3899,plain,
% 24.58/15.94 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB28, bitIndex0)) | (~v94(constB28)) | v123(constB28, bitIndex0))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3900,plain,
% 24.58/15.94 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0) | (~v94(constB28))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3899, 3898])).
% 24.58/15.94 tff(3901,plain,
% 24.58/15.94 ((~v84(constB28, bitIndex0)) | (~v94(constB28))),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3900, 923, 3894])).
% 24.58/15.94 tff(3902,plain,
% 24.58/15.94 (~v84(constB28, bitIndex0)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3901, 3797])).
% 24.58/15.94 tff(3903,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3904,plain,
% 24.58/15.94 (((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0))) <=> (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3905,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3904])).
% 24.58/15.94 tff(3906,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3905, 3903])).
% 24.58/15.94 tff(3907,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB28, constB29)) | v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0)))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3908,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB28, bitIndex0) | (~nextState(constB28, constB29)) | v94(constB29) | (~v84(constB29, bitIndex0))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 24.58/15.94 tff(3909,plain,
% 24.58/15.94 (v84(constB28, bitIndex0) | v94(constB29) | (~v84(constB29, bitIndex0))),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3908, 147, 3825])).
% 24.58/15.94 tff(3910,plain,
% 24.58/15.94 (v84(constB28, bitIndex0) | (~v84(constB29, bitIndex0))),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3909, 3837])).
% 24.58/15.94 tff(3911,plain,
% 24.58/15.94 (~v84(constB29, bitIndex0)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3910, 3902])).
% 24.58/15.94 tff(3912,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3913,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3914,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB29, bitIndex0) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex2) | v115(constB29)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3913, 3912])).
% 24.58/15.94 tff(3915,plain,
% 24.58/15.94 (v115(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3914, 950, 3911, 3877, 3846])).
% 24.58/15.94 tff(3916,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB29)) | v111(constB29))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB29)) | v111(constB29))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3917,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB29)) | v111(constB29))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3918,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB29)) | v111(constB29)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 24.58/15.94 tff(3919,plain,
% 24.58/15.94 (v111(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3918, 961, 3915])).
% 24.58/15.94 tff(3920,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB29) | (~v111(constB29)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB29) | (~v111(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3921,plain,
% 24.58/15.94 (((~v111(constB29)) | v110(constB29)) <=> (v110(constB29) | (~v111(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3922,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB29)) | v110(constB29))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB29) | (~v111(constB29))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3921])).
% 24.58/15.94 tff(3923,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB29)) | v110(constB29))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB29) | (~v111(constB29)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3922, 3920])).
% 24.58/15.94 tff(3924,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB29)) | v110(constB29))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3925,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB29) | (~v111(constB29))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 24.58/15.94 tff(3926,plain,
% 24.58/15.94 (v110(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3925, 207, 3919])).
% 24.58/15.94 tff(3927,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB29) | (~v110(constB29)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB29) | (~v110(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3928,plain,
% 24.58/15.94 (((~v110(constB29)) | v109(constB29)) <=> (v109(constB29) | (~v110(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3929,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB29)) | v109(constB29))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB29) | (~v110(constB29))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3928])).
% 24.58/15.94 tff(3930,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB29)) | v109(constB29))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB29) | (~v110(constB29)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3929, 3927])).
% 24.58/15.94 tff(3931,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB29)) | v109(constB29))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3932,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB29) | (~v110(constB29))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3931, 3930])).
% 24.58/15.94 tff(3933,plain,
% 24.58/15.94 (v109(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3932, 221, 3926])).
% 24.58/15.94 tff(3934,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB29)) | v108(constB29))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB29)) | v108(constB29))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3935,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB29)) | v108(constB29))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3936,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB29)) | v108(constB29)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 24.58/15.94 tff(3937,plain,
% 24.58/15.94 (v108(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3936, 235, 3933])).
% 24.58/15.94 tff(3938,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB29) | (~v108(constB29)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB29) | (~v108(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3939,plain,
% 24.58/15.94 (((~v108(constB29)) | v107(constB29)) <=> (v107(constB29) | (~v108(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3940,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB29)) | v107(constB29))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB29) | (~v108(constB29))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3939])).
% 24.58/15.94 tff(3941,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB29)) | v107(constB29))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB29) | (~v108(constB29)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3940, 3938])).
% 24.58/15.94 tff(3942,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB29)) | v107(constB29))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3943,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB29) | (~v108(constB29))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 24.58/15.94 tff(3944,plain,
% 24.58/15.94 (v107(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3943, 249, 3937])).
% 24.58/15.94 tff(3945,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | v106(constB29) | (~v107(constB29)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | v106(constB29) | (~v107(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3946,plain,
% 24.58/15.94 ((v26(constB29) | (~v107(constB29)) | v106(constB29)) <=> (v26(constB29) | v106(constB29) | (~v107(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3947,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | v106(constB29) | (~v107(constB29))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3946])).
% 24.58/15.94 tff(3948,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | v106(constB29) | (~v107(constB29)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3947, 3945])).
% 24.58/15.94 tff(3949,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB29) | (~v107(constB29)) | v106(constB29))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3950,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB29) | v106(constB29) | (~v107(constB29))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 24.58/15.94 tff(3951,plain,
% 24.58/15.94 (v26(constB29) | v106(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3950, 263, 3944])).
% 24.58/15.94 tff(3952,plain,
% 24.58/15.94 (v106(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3951, 25])).
% 24.58/15.94 tff(3953,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB29) | (~v106(constB29)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB29) | (~v106(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3954,plain,
% 24.58/15.94 (((~v106(constB29)) | v102(constB29)) <=> (v102(constB29) | (~v106(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3955,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB29)) | v102(constB29))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB29) | (~v106(constB29))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3954])).
% 24.58/15.94 tff(3956,plain,
% 24.58/15.94 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB29)) | v102(constB29))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB29) | (~v106(constB29)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3955, 3953])).
% 24.58/15.94 tff(3957,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB29)) | v102(constB29))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3958,plain,
% 24.58/15.94 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB29) | (~v106(constB29))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3957, 3956])).
% 24.58/15.94 tff(3959,plain,
% 24.58/15.94 (v102(constB29)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3958, 275, 3952])).
% 24.58/15.94 tff(3960,plain,
% 24.58/15.94 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3961,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_29_1')).
% 24.58/15.94 tff(3962,plain,
% 24.58/15.94 (nextState(constB29, constB30)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3961, 3960])).
% 24.58/15.94 tff(3963,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3964,plain,
% 24.58/15.94 (((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30)) <=> ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3965,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29))))),
% 24.58/15.94 inference(monotonicity,[status(thm)],[3964])).
% 24.58/15.94 tff(3966,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29)))),
% 24.58/15.94 inference(transitivity,[status(thm)],[3965, 3963])).
% 24.58/15.94 tff(3967,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB29, constB30)) | (~v102(constB29)) | v104(constB30))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3968,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB29, constB30)) | v104(constB30) | (~v102(constB29))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 24.58/15.94 tff(3969,plain,
% 24.58/15.94 (v104(constB30) | (~v102(constB29))),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3968, 295, 3962])).
% 24.58/15.94 tff(3970,plain,
% 24.58/15.94 (v104(constB30)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3969, 3959])).
% 24.58/15.94 tff(3971,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3972,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30)))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3973,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB29) | (~nextState(constB29, constB30)) | (~v98(constB30))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3972, 3971])).
% 24.58/15.94 tff(3974,plain,
% 24.58/15.94 (~v98(constB30)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3973, 313, 3962, 3822])).
% 24.58/15.94 tff(3975,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3976,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB29, constB30)) | v96(constB30) | v98(constB30))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3977,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB29, constB30)) | v96(constB30) | v98(constB30)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 24.58/15.94 tff(3978,plain,
% 24.58/15.94 (v96(constB30) | v98(constB30)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3977, 327, 3962])).
% 24.58/15.94 tff(3979,plain,
% 24.58/15.94 (v96(constB30)),
% 24.58/15.94 inference(unit_resolution,[status(thm)],[3978, 3974])).
% 24.58/15.94 tff(3980,plain,
% 24.58/15.94 (v1(constB30) <=> v1(constB30)),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3981,axiom,(v1(constB30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_30_1')).
% 24.58/15.94 tff(3982,plain,
% 24.58/15.94 (v1(constB30)),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3981, 3980])).
% 24.58/15.94 tff(3983,plain,
% 24.58/15.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))),
% 24.58/15.94 inference(rewrite,[status(thm)],[])).
% 24.58/15.94 tff(3984,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30)))),
% 24.58/15.94 inference(quant_inst,[status(thm)],[])).
% 24.58/15.94 tff(3985,plain,
% 24.58/15.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB29, constB30)) | v95(constB30) | (~v96(constB30)) | (~v1(constB30))),
% 24.58/15.94 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 24.58/15.94 tff(3986,plain,
% 24.58/15.94 (v95(constB30) | (~v96(constB30))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[3985, 345, 3962, 3982])).
% 24.58/15.95 tff(3987,plain,
% 24.58/15.95 (v95(constB30)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[3986, 3979])).
% 24.58/15.95 tff(3988,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(3989,plain,
% 24.58/15.95 (((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30)) <=> ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(3990,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30))))),
% 24.58/15.95 inference(monotonicity,[status(thm)],[3989])).
% 24.58/15.95 tff(3991,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30)))),
% 24.58/15.95 inference(transitivity,[status(thm)],[3990, 3988])).
% 24.58/15.95 tff(3992,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB29, constB30)) | (~v95(constB30)) | (~v104(constB30)) | v94(constB30))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(3993,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB29, constB30)) | v94(constB30) | (~v95(constB30)) | (~v104(constB30))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 24.58/15.95 tff(3994,plain,
% 24.58/15.95 (v94(constB30) | (~v95(constB30)) | (~v104(constB30))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[3993, 360, 3962])).
% 24.58/15.95 tff(3995,plain,
% 24.58/15.95 (v94(constB30) | (~v104(constB30))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[3994, 3987])).
% 24.58/15.95 tff(3996,plain,
% 24.58/15.95 (v94(constB30)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[3995, 3970])).
% 24.58/15.95 tff(3997,assumption,(v121(constB29, bitIndex2)), introduced(assumption)).
% 24.58/15.95 tff(3998,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB29)) | (~v124(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB29)) | (~v124(constB29, bitIndex2)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(3999,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB29)) | (~v124(constB29, bitIndex2)))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4000,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB29)) | (~v124(constB29, bitIndex2))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[3999, 3998])).
% 24.58/15.95 tff(4001,plain,
% 24.58/15.95 (~v124(constB29, bitIndex2)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4000, 1046, 3915])).
% 24.58/15.95 tff(4002,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4003,plain,
% 24.58/15.95 ((v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2))) <=> ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4004,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2)))),
% 24.58/15.95 inference(monotonicity,[status(thm)],[4003])).
% 24.58/15.95 tff(4005,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2))),
% 24.58/15.95 inference(transitivity,[status(thm)],[4004, 4002])).
% 24.58/15.95 tff(4006,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB29) | v124(constB29, bitIndex2) | (~v121(constB29, bitIndex2)))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4007,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB29, bitIndex2)) | v26(constB29) | v124(constB29, bitIndex2)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4006, 4005])).
% 24.58/15.95 tff(4008,plain,
% 24.58/15.95 ((~v121(constB29, bitIndex2)) | v26(constB29)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4007, 390, 4001])).
% 24.58/15.95 tff(4009,plain,
% 24.58/15.95 (v26(constB29)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4008, 3997])).
% 24.58/15.95 tff(4010,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB29)) | (~v121(constB29, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB29)) | (~v121(constB29, bitIndex2)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4011,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB29)) | (~v121(constB29, bitIndex2)))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4012,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB29)) | (~v121(constB29, bitIndex2))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 24.58/15.95 tff(4013,plain,
% 24.58/15.95 ($false),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4012, 2292, 3997, 4009])).
% 24.58/15.95 tff(4014,plain,(~v121(constB29, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.58/15.95 tff(4015,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4016,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2)))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4017,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB29, constB30)) | v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4016, 4015])).
% 24.58/15.95 tff(4018,plain,
% 24.58/15.95 (v121(constB29, bitIndex2) | (~v123(constB30, bitIndex2))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4017, 408, 3962])).
% 24.58/15.95 tff(4019,plain,
% 24.58/15.95 (~v123(constB30, bitIndex2)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4018, 4014])).
% 24.58/15.95 tff(4020,plain,
% 24.58/15.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4021,plain,
% 24.58/15.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30)))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4022,plain,
% 24.58/15.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2) | (~v94(constB30))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4021, 4020])).
% 24.58/15.95 tff(4023,plain,
% 24.58/15.95 ((~v84(constB30, bitIndex2)) | (~v94(constB30))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4022, 423, 4019])).
% 24.58/15.95 tff(4024,plain,
% 24.58/15.95 (~v84(constB30, bitIndex2)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4023, 3996])).
% 24.58/15.95 tff(4025,plain,
% 24.58/15.95 ((~v1(constB31)) <=> (~v1(constB31))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4026,axiom,(~v1(constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_31_1_1')).
% 24.58/15.95 tff(4027,plain,
% 24.58/15.95 (~v1(constB31)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 24.58/15.95 tff(4028,plain,
% 24.58/15.95 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4029,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_30_1')).
% 24.58/15.95 tff(4030,plain,
% 24.58/15.95 (nextState(constB30, constB31)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4029, 4028])).
% 24.58/15.95 tff(4031,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4032,plain,
% 24.58/15.95 (((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31)) <=> (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4033,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31))))),
% 24.58/15.95 inference(monotonicity,[status(thm)],[4032])).
% 24.58/15.95 tff(4034,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31)))),
% 24.58/15.95 inference(transitivity,[status(thm)],[4033, 4031])).
% 24.58/15.95 tff(4035,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB30, constB31)) | (~v95(constB31)) | v1(constB31))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4036,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB31) | (~nextState(constB30, constB31)) | (~v95(constB31))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 24.58/15.95 tff(4037,plain,
% 24.58/15.95 (~v95(constB31)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4036, 73, 4030, 4027])).
% 24.58/15.95 tff(4038,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4039,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31)))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4040,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB30, constB31)) | v95(constB31) | (~v94(constB31))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4039, 4038])).
% 24.58/15.95 tff(4041,plain,
% 24.58/15.95 (v95(constB31) | (~v94(constB31))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4040, 90, 4030])).
% 24.58/15.95 tff(4042,plain,
% 24.58/15.95 (~v94(constB31)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4041, 4037])).
% 24.58/15.95 tff(4043,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4044,plain,
% 24.58/15.95 (((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2))) <=> (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4045,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2))))),
% 24.58/15.95 inference(monotonicity,[status(thm)],[4044])).
% 24.58/15.95 tff(4046,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 24.58/15.95 inference(transitivity,[status(thm)],[4045, 4043])).
% 24.58/15.95 tff(4047,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB30, constB31)) | v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2)))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4048,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB30, bitIndex2) | (~nextState(constB30, constB31)) | v94(constB31) | (~v84(constB31, bitIndex2))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 24.58/15.95 tff(4049,plain,
% 24.58/15.95 (v84(constB30, bitIndex2) | v94(constB31) | (~v84(constB31, bitIndex2))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4048, 105, 4030])).
% 24.58/15.95 tff(4050,plain,
% 24.58/15.95 (v84(constB30, bitIndex2) | (~v84(constB31, bitIndex2))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4049, 4042])).
% 24.58/15.95 tff(4051,plain,
% 24.58/15.95 (~v84(constB31, bitIndex2)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4050, 4024])).
% 24.58/15.95 tff(4052,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB29)) | v124(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB29)) | v124(constB29, bitIndex1))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4053,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB29)) | v124(constB29, bitIndex1))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4054,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB29)) | v124(constB29, bitIndex1)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4053, 4052])).
% 24.58/15.95 tff(4055,plain,
% 24.58/15.95 (v124(constB29, bitIndex1)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4054, 1102, 3915])).
% 24.58/15.95 tff(4056,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4057,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4058,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB29) | (~v124(constB29, bitIndex1)) | v121(constB29, bitIndex1)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 24.58/15.95 tff(4059,plain,
% 24.58/15.95 (v26(constB29) | v121(constB29, bitIndex1)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4058, 812, 4055])).
% 24.58/15.95 tff(4060,plain,
% 24.58/15.95 (v121(constB29, bitIndex1)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4059, 25])).
% 24.58/15.95 tff(4061,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4062,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4063,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4062, 4061])).
% 24.58/15.95 tff(4064,plain,
% 24.58/15.95 ((~v121(constB29, bitIndex1)) | v123(constB30, bitIndex1)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4063, 827, 3962])).
% 24.58/15.95 tff(4065,plain,
% 24.58/15.95 (v123(constB30, bitIndex1)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4064, 4060])).
% 24.58/15.95 tff(4066,plain,
% 24.58/15.95 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4067,plain,
% 24.58/15.95 ((v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1))) <=> (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4068,plain,
% 24.58/15.95 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30))))),
% 24.58/15.95 inference(monotonicity,[status(thm)],[4067])).
% 24.58/15.95 tff(4069,plain,
% 24.58/15.95 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30)))),
% 24.58/15.95 inference(transitivity,[status(thm)],[4068, 4066])).
% 24.58/15.95 tff(4070,plain,
% 24.58/15.95 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB30, bitIndex1) | (~v94(constB30)) | (~v123(constB30, bitIndex1)))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4071,plain,
% 24.58/15.95 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1)) | (~v94(constB30))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4070, 4069])).
% 24.58/15.95 tff(4072,plain,
% 24.58/15.95 (v84(constB30, bitIndex1) | (~v94(constB30))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4071, 842, 4065])).
% 24.58/15.95 tff(4073,plain,
% 24.58/15.95 (v84(constB30, bitIndex1)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4072, 3996])).
% 24.58/15.95 tff(4074,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4075,plain,
% 24.58/15.95 (((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1)) <=> ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4076,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1)))),
% 24.58/15.95 inference(monotonicity,[status(thm)],[4075])).
% 24.58/15.95 tff(4077,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1))),
% 24.58/15.95 inference(transitivity,[status(thm)],[4076, 4074])).
% 24.58/15.95 tff(4078,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4079,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB30, bitIndex1)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex1)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4078, 4077])).
% 24.58/15.95 tff(4080,plain,
% 24.58/15.95 ((~v84(constB30, bitIndex1)) | v94(constB31) | v84(constB31, bitIndex1)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4079, 860, 4030])).
% 24.58/15.95 tff(4081,plain,
% 24.58/15.95 ((~v84(constB30, bitIndex1)) | v84(constB31, bitIndex1)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4080, 4042])).
% 24.58/15.95 tff(4082,plain,
% 24.58/15.95 (v84(constB31, bitIndex1)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4081, 4073])).
% 24.58/15.95 tff(4083,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB29)) | v124(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB29)) | v124(constB29, bitIndex0))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4084,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB29)) | v124(constB29, bitIndex0))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4085,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB29)) | v124(constB29, bitIndex0)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4084, 4083])).
% 24.58/15.95 tff(4086,plain,
% 24.58/15.95 (v124(constB29, bitIndex0)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4085, 1140, 3915])).
% 24.58/15.95 tff(4087,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4088,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4089,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB29) | (~v124(constB29, bitIndex0)) | v121(constB29, bitIndex0)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4088, 4087])).
% 24.58/15.95 tff(4090,plain,
% 24.58/15.95 (v26(constB29) | v121(constB29, bitIndex0)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4089, 547, 4086])).
% 24.58/15.95 tff(4091,plain,
% 24.58/15.95 (v121(constB29, bitIndex0)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4090, 25])).
% 24.58/15.95 tff(4092,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4093,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4094,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB29, constB30)) | (~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 24.58/15.95 tff(4095,plain,
% 24.58/15.95 ((~v121(constB29, bitIndex0)) | v123(constB30, bitIndex0)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4094, 562, 3962])).
% 24.58/15.95 tff(4096,plain,
% 24.58/15.95 (v123(constB30, bitIndex0)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4095, 4091])).
% 24.58/15.95 tff(4097,plain,
% 24.58/15.95 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4098,plain,
% 24.58/15.95 ((v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0))) <=> (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4099,plain,
% 24.58/15.95 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30))))),
% 24.58/15.95 inference(monotonicity,[status(thm)],[4098])).
% 24.58/15.95 tff(4100,plain,
% 24.58/15.95 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30)))),
% 24.58/15.95 inference(transitivity,[status(thm)],[4099, 4097])).
% 24.58/15.95 tff(4101,plain,
% 24.58/15.95 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB30, bitIndex0) | (~v94(constB30)) | (~v123(constB30, bitIndex0)))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4102,plain,
% 24.58/15.95 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0)) | (~v94(constB30))),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4101, 4100])).
% 24.58/15.95 tff(4103,plain,
% 24.58/15.95 (v84(constB30, bitIndex0) | (~v94(constB30))),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4102, 577, 4096])).
% 24.58/15.95 tff(4104,plain,
% 24.58/15.95 (v84(constB30, bitIndex0)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4103, 3996])).
% 24.58/15.95 tff(4105,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4106,plain,
% 24.58/15.95 (((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0)) <=> ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4107,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0)))),
% 24.58/15.95 inference(monotonicity,[status(thm)],[4106])).
% 24.58/15.95 tff(4108,plain,
% 24.58/15.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0))),
% 24.58/15.95 inference(transitivity,[status(thm)],[4107, 4105])).
% 24.58/15.95 tff(4109,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB30, constB31)) | (~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4110,plain,
% 24.58/15.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB30, bitIndex0)) | (~nextState(constB30, constB31)) | v94(constB31) | v84(constB31, bitIndex0)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 24.58/15.95 tff(4111,plain,
% 24.58/15.95 ((~v84(constB30, bitIndex0)) | v94(constB31) | v84(constB31, bitIndex0)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4110, 595, 4030])).
% 24.58/15.95 tff(4112,plain,
% 24.58/15.95 ((~v84(constB30, bitIndex0)) | v84(constB31, bitIndex0)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4111, 4042])).
% 24.58/15.95 tff(4113,plain,
% 24.58/15.95 (v84(constB31, bitIndex0)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4112, 4104])).
% 24.58/15.95 tff(4114,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4115,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4116,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB31, bitIndex0)) | (~v84(constB31, bitIndex1)) | v84(constB31, bitIndex2) | v116(constB31)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 24.58/15.95 tff(4117,plain,
% 24.58/15.95 (v116(constB31)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4116, 1181, 4113, 4082, 4051])).
% 24.58/15.95 tff(4118,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB31)) | v110(constB31))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB31)) | v110(constB31))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.95 tff(4119,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB31)) | v110(constB31))),
% 24.58/15.95 inference(quant_inst,[status(thm)],[])).
% 24.58/15.95 tff(4120,plain,
% 24.58/15.95 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB31)) | v110(constB31)),
% 24.58/15.95 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 24.58/15.95 tff(4121,plain,
% 24.58/15.95 (v110(constB31)),
% 24.58/15.95 inference(unit_resolution,[status(thm)],[4120, 1192, 4117])).
% 24.58/15.95 tff(4122,plain,
% 24.58/15.95 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB31)) | v109(constB31))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB31)) | v109(constB31))),
% 24.58/15.95 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4123,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB31)) | v109(constB31))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4124,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB31)) | v109(constB31)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 24.58/15.96 tff(4125,plain,
% 24.58/15.96 (v109(constB31)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4124, 221, 4121])).
% 24.58/15.96 tff(4126,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v109(constB31)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v109(constB31)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4127,plain,
% 24.58/15.96 (((~v109(constB31)) | v108(constB31)) <=> (v108(constB31) | (~v109(constB31)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4128,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB31) | (~v109(constB31))))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4127])).
% 24.58/15.96 tff(4129,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB31)) | v108(constB31))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v109(constB31)))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4128, 4126])).
% 24.58/15.96 tff(4130,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB31)) | v108(constB31))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4131,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB31) | (~v109(constB31))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 24.58/15.96 tff(4132,plain,
% 24.58/15.96 (v108(constB31)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4131, 235, 4125])).
% 24.58/15.96 tff(4133,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB31) | (~v108(constB31)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB31) | (~v108(constB31)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4134,plain,
% 24.58/15.96 (((~v108(constB31)) | v107(constB31)) <=> (v107(constB31) | (~v108(constB31)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4135,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB31)) | v107(constB31))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB31) | (~v108(constB31))))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4134])).
% 24.58/15.96 tff(4136,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB31)) | v107(constB31))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB31) | (~v108(constB31)))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4135, 4133])).
% 24.58/15.96 tff(4137,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB31)) | v107(constB31))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4138,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB31) | (~v108(constB31))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4137, 4136])).
% 24.58/15.96 tff(4139,plain,
% 24.58/15.96 (v107(constB31)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4138, 249, 4132])).
% 24.58/15.96 tff(4140,assumption,(v26(constB31)), introduced(assumption)).
% 24.58/15.96 tff(4141,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB31))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4142,plain,
% 24.58/15.96 ($false),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4141, 18, 4140])).
% 24.58/15.96 tff(4143,plain,(~v26(constB31)), inference(lemma,lemma(discharge,[]))).
% 24.58/15.96 tff(4144,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | (~v107(constB31)) | v106(constB31))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB31) | (~v107(constB31)) | v106(constB31))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4145,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB31) | (~v107(constB31)) | v106(constB31))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4146,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB31) | (~v107(constB31)) | v106(constB31)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4145, 4144])).
% 24.58/15.96 tff(4147,plain,
% 24.58/15.96 ((~v107(constB31)) | v106(constB31)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4146, 263, 4143])).
% 24.58/15.96 tff(4148,plain,
% 24.58/15.96 (v106(constB31)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4147, 4139])).
% 24.58/15.96 tff(4149,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB31) | (~v106(constB31)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB31) | (~v106(constB31)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4150,plain,
% 24.58/15.96 (((~v106(constB31)) | v102(constB31)) <=> (v102(constB31) | (~v106(constB31)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4151,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB31)) | v102(constB31))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB31) | (~v106(constB31))))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4150])).
% 24.58/15.96 tff(4152,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB31)) | v102(constB31))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB31) | (~v106(constB31)))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4151, 4149])).
% 24.58/15.96 tff(4153,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB31)) | v102(constB31))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4154,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB31) | (~v106(constB31))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4153, 4152])).
% 24.58/15.96 tff(4155,plain,
% 24.58/15.96 (v102(constB31)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4154, 275, 4148])).
% 24.58/15.96 tff(4156,plain,
% 24.58/15.96 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4157,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_31_1')).
% 24.58/15.96 tff(4158,plain,
% 24.58/15.96 (nextState(constB31, constB32)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 24.58/15.96 tff(4159,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4160,plain,
% 24.58/15.96 (((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32)) <=> ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4161,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31))))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4160])).
% 24.58/15.96 tff(4162,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31)))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4161, 4159])).
% 24.58/15.96 tff(4163,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB31, constB32)) | (~v102(constB31)) | v104(constB32))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4164,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB31, constB32)) | v104(constB32) | (~v102(constB31))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4163, 4162])).
% 24.58/15.96 tff(4165,plain,
% 24.58/15.96 (v104(constB32) | (~v102(constB31))),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4164, 295, 4158])).
% 24.58/15.96 tff(4166,plain,
% 24.58/15.96 (v104(constB32)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4165, 4155])).
% 24.58/15.96 tff(4167,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4168,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32)))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4169,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB31) | (~nextState(constB31, constB32)) | (~v98(constB32))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4168, 4167])).
% 24.58/15.96 tff(4170,plain,
% 24.58/15.96 (~v98(constB32)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4169, 313, 4158, 4027])).
% 24.58/15.96 tff(4171,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4172,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB31, constB32)) | v96(constB32) | v98(constB32))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4173,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB31, constB32)) | v96(constB32) | v98(constB32)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 24.58/15.96 tff(4174,plain,
% 24.58/15.96 (v96(constB32) | v98(constB32)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4173, 327, 4158])).
% 24.58/15.96 tff(4175,plain,
% 24.58/15.96 (v96(constB32)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4174, 4170])).
% 24.58/15.96 tff(4176,plain,
% 24.58/15.96 (v1(constB32) <=> v1(constB32)),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4177,axiom,(v1(constB32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_32_1')).
% 24.58/15.96 tff(4178,plain,
% 24.58/15.96 (v1(constB32)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 24.58/15.96 tff(4179,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4180,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32)))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4181,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB31, constB32)) | v95(constB32) | (~v96(constB32)) | (~v1(constB32))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4180, 4179])).
% 24.58/15.96 tff(4182,plain,
% 24.58/15.96 (v95(constB32) | (~v96(constB32))),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4181, 345, 4158, 4178])).
% 24.58/15.96 tff(4183,plain,
% 24.58/15.96 (v95(constB32)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4182, 4175])).
% 24.58/15.96 tff(4184,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4185,plain,
% 24.58/15.96 (((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32)) <=> ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4186,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32))))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4185])).
% 24.58/15.96 tff(4187,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32)))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4186, 4184])).
% 24.58/15.96 tff(4188,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB31, constB32)) | (~v95(constB32)) | (~v104(constB32)) | v94(constB32))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4189,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB31, constB32)) | v94(constB32) | (~v95(constB32)) | (~v104(constB32))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4188, 4187])).
% 24.58/15.96 tff(4190,plain,
% 24.58/15.96 (v94(constB32) | (~v95(constB32)) | (~v104(constB32))),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4189, 360, 4158])).
% 24.58/15.96 tff(4191,plain,
% 24.58/15.96 (v94(constB32) | (~v104(constB32))),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4190, 4183])).
% 24.58/15.96 tff(4192,plain,
% 24.58/15.96 (v94(constB32)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4191, 4166])).
% 24.58/15.96 tff(4193,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB31)) | v124(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB31)) | v124(constB31, bitIndex2))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4194,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB31)) | v124(constB31, bitIndex2))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4195,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB31)) | v124(constB31, bitIndex2)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4194, 4193])).
% 24.58/15.96 tff(4196,plain,
% 24.58/15.96 (v124(constB31, bitIndex2)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4195, 1273, 4117])).
% 24.58/15.96 tff(4197,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4198,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4199,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB31) | (~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 24.58/15.96 tff(4200,plain,
% 24.58/15.96 ((~v124(constB31, bitIndex2)) | v121(constB31, bitIndex2)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4199, 1287, 4143])).
% 24.58/15.96 tff(4201,plain,
% 24.58/15.96 (v121(constB31, bitIndex2)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4200, 4196])).
% 24.58/15.96 tff(4202,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4203,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4204,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB31, constB32)) | (~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 24.58/15.96 tff(4205,plain,
% 24.58/15.96 ((~v121(constB31, bitIndex2)) | v123(constB32, bitIndex2)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4204, 1302, 4158])).
% 24.58/15.96 tff(4206,plain,
% 24.58/15.96 (v123(constB32, bitIndex2)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4205, 4201])).
% 24.58/15.96 tff(4207,plain,
% 24.58/15.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4208,plain,
% 24.58/15.96 ((v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2))) <=> (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4209,plain,
% 24.58/15.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32))))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4208])).
% 24.58/15.96 tff(4210,plain,
% 24.58/15.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32)))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4209, 4207])).
% 24.58/15.96 tff(4211,plain,
% 24.58/15.96 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB32, bitIndex2) | (~v94(constB32)) | (~v123(constB32, bitIndex2)))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4212,plain,
% 24.58/15.96 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2)) | (~v94(constB32))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4211, 4210])).
% 24.58/15.96 tff(4213,plain,
% 24.58/15.96 (v84(constB32, bitIndex2) | (~v94(constB32))),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4212, 1317, 4206])).
% 24.58/15.96 tff(4214,plain,
% 24.58/15.96 (v84(constB32, bitIndex2)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4213, 4192])).
% 24.58/15.96 tff(4215,plain,
% 24.58/15.96 ((~v1(constB33)) <=> (~v1(constB33))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4216,axiom,(~v1(constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_33_1_1')).
% 24.58/15.96 tff(4217,plain,
% 24.58/15.96 (~v1(constB33)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4216, 4215])).
% 24.58/15.96 tff(4218,plain,
% 24.58/15.96 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4219,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_32_1')).
% 24.58/15.96 tff(4220,plain,
% 24.58/15.96 (nextState(constB32, constB33)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4219, 4218])).
% 24.58/15.96 tff(4221,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4222,plain,
% 24.58/15.96 (((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33)) <=> (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4223,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33))))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4222])).
% 24.58/15.96 tff(4224,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33)))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4223, 4221])).
% 24.58/15.96 tff(4225,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB32, constB33)) | (~v95(constB33)) | v1(constB33))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4226,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB33) | (~nextState(constB32, constB33)) | (~v95(constB33))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 24.58/15.96 tff(4227,plain,
% 24.58/15.96 (~v95(constB33)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4226, 73, 4220, 4217])).
% 24.58/15.96 tff(4228,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4229,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33)))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4230,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB32, constB33)) | v95(constB33) | (~v94(constB33))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 24.58/15.96 tff(4231,plain,
% 24.58/15.96 (v95(constB33) | (~v94(constB33))),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4230, 90, 4220])).
% 24.58/15.96 tff(4232,plain,
% 24.58/15.96 (~v94(constB33)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4231, 4227])).
% 24.58/15.96 tff(4233,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4234,plain,
% 24.58/15.96 (((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2)) <=> ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4235,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2)))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4234])).
% 24.58/15.96 tff(4236,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4235, 4233])).
% 24.58/15.96 tff(4237,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB32, constB33)) | (~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4238,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB32, bitIndex2)) | (~nextState(constB32, constB33)) | v94(constB33) | v84(constB33, bitIndex2)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4237, 4236])).
% 24.58/15.96 tff(4239,plain,
% 24.58/15.96 ((~v84(constB32, bitIndex2)) | v94(constB33) | v84(constB33, bitIndex2)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4238, 1353, 4220])).
% 24.58/15.96 tff(4240,plain,
% 24.58/15.96 ((~v84(constB32, bitIndex2)) | v84(constB33, bitIndex2)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4239, 4232])).
% 24.58/15.96 tff(4241,plain,
% 24.58/15.96 (v84(constB33, bitIndex2)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4240, 4214])).
% 24.58/15.96 tff(4242,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB31)) | (~v124(constB31, bitIndex1)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4243,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex1)))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4244,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB31)) | (~v124(constB31, bitIndex1))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4243, 4242])).
% 24.58/15.96 tff(4245,plain,
% 24.58/15.96 (~v124(constB31, bitIndex1)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4244, 1369, 4117])).
% 24.58/15.96 tff(4246,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4247,plain,
% 24.58/15.96 ((v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1))) <=> ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4248,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1)))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4247])).
% 24.58/15.96 tff(4249,plain,
% 24.58/15.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4248, 4246])).
% 24.58/15.96 tff(4250,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB31) | v124(constB31, bitIndex1) | (~v121(constB31, bitIndex1)))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4251,plain,
% 24.58/15.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB31, bitIndex1)) | v26(constB31) | v124(constB31, bitIndex1)),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 24.58/15.96 tff(4252,plain,
% 24.58/15.96 ((~v121(constB31, bitIndex1)) | v124(constB31, bitIndex1)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4251, 476, 4143])).
% 24.58/15.96 tff(4253,plain,
% 24.58/15.96 (~v121(constB31, bitIndex1)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4252, 4245])).
% 24.58/15.96 tff(4254,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4255,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1)))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4256,plain,
% 24.58/15.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4255, 4254])).
% 24.58/15.96 tff(4257,plain,
% 24.58/15.96 (v121(constB31, bitIndex1) | (~v123(constB32, bitIndex1))),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4256, 494, 4158])).
% 24.58/15.96 tff(4258,plain,
% 24.58/15.96 (~v123(constB32, bitIndex1)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4257, 4253])).
% 24.58/15.96 tff(4259,plain,
% 24.58/15.96 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4260,plain,
% 24.58/15.96 (((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1)) <=> ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4261,plain,
% 24.58/15.96 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32))))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4260])).
% 24.58/15.96 tff(4262,plain,
% 24.58/15.96 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32)))),
% 24.58/15.96 inference(transitivity,[status(thm)],[4261, 4259])).
% 24.58/15.96 tff(4263,plain,
% 24.58/15.96 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB32, bitIndex1)) | (~v94(constB32)) | v123(constB32, bitIndex1))),
% 24.58/15.96 inference(quant_inst,[status(thm)],[])).
% 24.58/15.96 tff(4264,plain,
% 24.58/15.96 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1) | (~v94(constB32))),
% 24.58/15.96 inference(modus_ponens,[status(thm)],[4263, 4262])).
% 24.58/15.96 tff(4265,plain,
% 24.58/15.96 ((~v84(constB32, bitIndex1)) | (~v94(constB32))),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4264, 509, 4258])).
% 24.58/15.96 tff(4266,plain,
% 24.58/15.96 (~v84(constB32, bitIndex1)),
% 24.58/15.96 inference(unit_resolution,[status(thm)],[4265, 4192])).
% 24.58/15.96 tff(4267,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4268,plain,
% 24.58/15.96 (((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1))) <=> (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 24.58/15.96 inference(rewrite,[status(thm)],[])).
% 24.58/15.96 tff(4269,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1))))),
% 24.58/15.96 inference(monotonicity,[status(thm)],[4268])).
% 24.58/15.96 tff(4270,plain,
% 24.58/15.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4269, 4267])).
% 24.58/15.97 tff(4271,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1)))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4272,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB32, bitIndex1) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex1))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 24.58/15.97 tff(4273,plain,
% 24.58/15.97 (v84(constB32, bitIndex1) | v94(constB33) | (~v84(constB33, bitIndex1))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4272, 126, 4220])).
% 24.58/15.97 tff(4274,plain,
% 24.58/15.97 (v84(constB32, bitIndex1) | (~v84(constB33, bitIndex1))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4273, 4232])).
% 24.58/15.97 tff(4275,plain,
% 24.58/15.97 (~v84(constB33, bitIndex1)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4274, 4266])).
% 24.58/15.97 tff(4276,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB31)) | (~v124(constB31, bitIndex0)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4277,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB31)) | (~v124(constB31, bitIndex0)))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4278,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB31)) | (~v124(constB31, bitIndex0))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4277, 4276])).
% 24.58/15.97 tff(4279,plain,
% 24.58/15.97 (~v124(constB31, bitIndex0)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4278, 1410, 4117])).
% 24.58/15.97 tff(4280,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4281,plain,
% 24.58/15.97 ((v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0))) <=> ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4282,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0)))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4281])).
% 24.58/15.97 tff(4283,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4282, 4280])).
% 24.58/15.97 tff(4284,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB31) | v124(constB31, bitIndex0) | (~v121(constB31, bitIndex0)))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4285,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB31, bitIndex0)) | v26(constB31) | v124(constB31, bitIndex0)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4284, 4283])).
% 24.58/15.97 tff(4286,plain,
% 24.58/15.97 ((~v121(constB31, bitIndex0)) | v124(constB31, bitIndex0)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4285, 890, 4143])).
% 24.58/15.97 tff(4287,plain,
% 24.58/15.97 (~v121(constB31, bitIndex0)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4286, 4279])).
% 24.58/15.97 tff(4288,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4289,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0)))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4290,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB31, constB32)) | v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 24.58/15.97 tff(4291,plain,
% 24.58/15.97 (v121(constB31, bitIndex0) | (~v123(constB32, bitIndex0))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4290, 908, 4158])).
% 24.58/15.97 tff(4292,plain,
% 24.58/15.97 (~v123(constB32, bitIndex0)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4291, 4287])).
% 24.58/15.97 tff(4293,plain,
% 24.58/15.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4294,plain,
% 24.58/15.97 (((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0)) <=> ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4295,plain,
% 24.58/15.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32))))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4294])).
% 24.58/15.97 tff(4296,plain,
% 24.58/15.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4295, 4293])).
% 24.58/15.97 tff(4297,plain,
% 24.58/15.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB32, bitIndex0)) | (~v94(constB32)) | v123(constB32, bitIndex0))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4298,plain,
% 24.58/15.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0) | (~v94(constB32))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 24.58/15.97 tff(4299,plain,
% 24.58/15.97 ((~v84(constB32, bitIndex0)) | (~v94(constB32))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4298, 923, 4292])).
% 24.58/15.97 tff(4300,plain,
% 24.58/15.97 (~v84(constB32, bitIndex0)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4299, 4192])).
% 24.58/15.97 tff(4301,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4302,plain,
% 24.58/15.97 (((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0))) <=> (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4303,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0))))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4302])).
% 24.58/15.97 tff(4304,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4303, 4301])).
% 24.58/15.97 tff(4305,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB32, constB33)) | v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0)))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4306,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB32, bitIndex0) | (~nextState(constB32, constB33)) | v94(constB33) | (~v84(constB33, bitIndex0))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4305, 4304])).
% 24.58/15.97 tff(4307,plain,
% 24.58/15.97 (v84(constB32, bitIndex0) | v94(constB33) | (~v84(constB33, bitIndex0))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4306, 147, 4220])).
% 24.58/15.97 tff(4308,plain,
% 24.58/15.97 (v84(constB32, bitIndex0) | (~v84(constB33, bitIndex0))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4307, 4232])).
% 24.58/15.97 tff(4309,plain,
% 24.58/15.97 (~v84(constB33, bitIndex0)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4308, 4300])).
% 24.58/15.97 tff(4310,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4311,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4312,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)) | v172(constB33)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4311, 4310])).
% 24.58/15.97 tff(4313,plain,
% 24.58/15.97 (v172(constB33)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4312, 1454, 4309, 4275, 4241])).
% 24.58/15.97 tff(4314,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB33) | (~v172(constB33)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB33) | (~v172(constB33)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4315,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB33) | (~v172(constB33)))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4316,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB33) | (~v172(constB33))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4315, 4314])).
% 24.58/15.97 tff(4317,plain,
% 24.58/15.97 (v109(constB33)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4316, 1468, 4313])).
% 24.58/15.97 tff(4318,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v109(constB33)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v109(constB33)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4319,plain,
% 24.58/15.97 (((~v109(constB33)) | v108(constB33)) <=> (v108(constB33) | (~v109(constB33)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4320,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB33) | (~v109(constB33))))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4319])).
% 24.58/15.97 tff(4321,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB33)) | v108(constB33))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v109(constB33)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4320, 4318])).
% 24.58/15.97 tff(4322,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB33)) | v108(constB33))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4323,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB33) | (~v109(constB33))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4322, 4321])).
% 24.58/15.97 tff(4324,plain,
% 24.58/15.97 (v108(constB33)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4323, 235, 4317])).
% 24.58/15.97 tff(4325,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB33)) | v107(constB33))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB33)) | v107(constB33))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4326,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB33)) | v107(constB33))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4327,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB33)) | v107(constB33)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 24.58/15.97 tff(4328,plain,
% 24.58/15.97 (v107(constB33)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4327, 249, 4324])).
% 24.58/15.97 tff(4329,assumption,(v26(constB33)), introduced(assumption)).
% 24.58/15.97 tff(4330,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB33))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4331,plain,
% 24.58/15.97 ($false),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4330, 18, 4329])).
% 24.58/15.97 tff(4332,plain,(~v26(constB33)), inference(lemma,lemma(discharge,[]))).
% 24.58/15.97 tff(4333,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | v106(constB33) | (~v107(constB33)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | v106(constB33) | (~v107(constB33)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4334,plain,
% 24.58/15.97 ((v26(constB33) | (~v107(constB33)) | v106(constB33)) <=> (v26(constB33) | v106(constB33) | (~v107(constB33)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4335,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | v106(constB33) | (~v107(constB33))))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4334])).
% 24.58/15.97 tff(4336,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | v106(constB33) | (~v107(constB33)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4335, 4333])).
% 24.58/15.97 tff(4337,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB33) | (~v107(constB33)) | v106(constB33))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4338,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB33) | v106(constB33) | (~v107(constB33))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4337, 4336])).
% 24.58/15.97 tff(4339,plain,
% 24.58/15.97 (v106(constB33) | (~v107(constB33))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4338, 263, 4332])).
% 24.58/15.97 tff(4340,plain,
% 24.58/15.97 (v106(constB33)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4339, 4328])).
% 24.58/15.97 tff(4341,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB33) | (~v106(constB33)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB33) | (~v106(constB33)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4342,plain,
% 24.58/15.97 (((~v106(constB33)) | v102(constB33)) <=> (v102(constB33) | (~v106(constB33)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4343,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB33)) | v102(constB33))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB33) | (~v106(constB33))))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4342])).
% 24.58/15.97 tff(4344,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB33)) | v102(constB33))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB33) | (~v106(constB33)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4343, 4341])).
% 24.58/15.97 tff(4345,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB33)) | v102(constB33))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4346,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB33) | (~v106(constB33))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 24.58/15.97 tff(4347,plain,
% 24.58/15.97 (v102(constB33)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4346, 275, 4340])).
% 24.58/15.97 tff(4348,plain,
% 24.58/15.97 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4349,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_33_1')).
% 24.58/15.97 tff(4350,plain,
% 24.58/15.97 (nextState(constB33, constB34)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 24.58/15.97 tff(4351,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4352,plain,
% 24.58/15.97 (((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34)) <=> ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4353,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33))))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4352])).
% 24.58/15.97 tff(4354,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4353, 4351])).
% 24.58/15.97 tff(4355,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB33, constB34)) | (~v102(constB33)) | v104(constB34))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4356,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB33, constB34)) | v104(constB34) | (~v102(constB33))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4355, 4354])).
% 24.58/15.97 tff(4357,plain,
% 24.58/15.97 (v104(constB34) | (~v102(constB33))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4356, 295, 4350])).
% 24.58/15.97 tff(4358,plain,
% 24.58/15.97 (v104(constB34)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4357, 4347])).
% 24.58/15.97 tff(4359,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4360,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34)))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4361,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB33) | (~nextState(constB33, constB34)) | (~v98(constB34))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 24.58/15.97 tff(4362,plain,
% 24.58/15.97 (~v98(constB34)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4361, 313, 4350, 4217])).
% 24.58/15.97 tff(4363,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4364,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB33, constB34)) | v96(constB34) | v98(constB34))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4365,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB33, constB34)) | v96(constB34) | v98(constB34)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 24.58/15.97 tff(4366,plain,
% 24.58/15.97 (v96(constB34) | v98(constB34)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4365, 327, 4350])).
% 24.58/15.97 tff(4367,plain,
% 24.58/15.97 (v96(constB34)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4366, 4362])).
% 24.58/15.97 tff(4368,plain,
% 24.58/15.97 (v1(constB34) <=> v1(constB34)),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4369,axiom,(v1(constB34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_34_1')).
% 24.58/15.97 tff(4370,plain,
% 24.58/15.97 (v1(constB34)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 24.58/15.97 tff(4371,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4372,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34)))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4373,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB33, constB34)) | v95(constB34) | (~v96(constB34)) | (~v1(constB34))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4372, 4371])).
% 24.58/15.97 tff(4374,plain,
% 24.58/15.97 (v95(constB34) | (~v96(constB34))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4373, 345, 4350, 4370])).
% 24.58/15.97 tff(4375,plain,
% 24.58/15.97 (v95(constB34)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4374, 4367])).
% 24.58/15.97 tff(4376,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4377,plain,
% 24.58/15.97 (((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34)) <=> ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4378,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34))))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4377])).
% 24.58/15.97 tff(4379,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4378, 4376])).
% 24.58/15.97 tff(4380,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB33, constB34)) | (~v95(constB34)) | (~v104(constB34)) | v94(constB34))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4381,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB33, constB34)) | v94(constB34) | (~v95(constB34)) | (~v104(constB34))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4380, 4379])).
% 24.58/15.97 tff(4382,plain,
% 24.58/15.97 (v94(constB34) | (~v95(constB34)) | (~v104(constB34))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4381, 360, 4350])).
% 24.58/15.97 tff(4383,plain,
% 24.58/15.97 (v94(constB34) | (~v104(constB34))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4382, 4375])).
% 24.58/15.97 tff(4384,plain,
% 24.58/15.97 (v94(constB34)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4383, 4358])).
% 24.58/15.97 tff(4385,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB33)) | v124(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB33)) | v124(constB33, bitIndex2))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4386,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB33)) | v124(constB33, bitIndex2))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4387,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB33)) | v124(constB33, bitIndex2)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 24.58/15.97 tff(4388,plain,
% 24.58/15.97 (v124(constB33, bitIndex2)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4387, 1539, 4313])).
% 24.58/15.97 tff(4389,plain,
% 24.58/15.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4390,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4391,plain,
% 24.58/15.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB33) | (~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 24.58/15.97 tff(4392,plain,
% 24.58/15.97 ((~v124(constB33, bitIndex2)) | v121(constB33, bitIndex2)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4391, 1287, 4332])).
% 24.58/15.97 tff(4393,plain,
% 24.58/15.97 (v121(constB33, bitIndex2)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4392, 4388])).
% 24.58/15.97 tff(4394,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4395,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4396,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4395, 4394])).
% 24.58/15.97 tff(4397,plain,
% 24.58/15.97 ((~v121(constB33, bitIndex2)) | v123(constB34, bitIndex2)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4396, 1302, 4350])).
% 24.58/15.97 tff(4398,plain,
% 24.58/15.97 (v123(constB34, bitIndex2)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4397, 4393])).
% 24.58/15.97 tff(4399,plain,
% 24.58/15.97 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4400,plain,
% 24.58/15.97 ((v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2))) <=> (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4401,plain,
% 24.58/15.97 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34))))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4400])).
% 24.58/15.97 tff(4402,plain,
% 24.58/15.97 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4401, 4399])).
% 24.58/15.97 tff(4403,plain,
% 24.58/15.97 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB34, bitIndex2) | (~v94(constB34)) | (~v123(constB34, bitIndex2)))),
% 24.58/15.97 inference(quant_inst,[status(thm)],[])).
% 24.58/15.97 tff(4404,plain,
% 24.58/15.97 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2)) | (~v94(constB34))),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4403, 4402])).
% 24.58/15.97 tff(4405,plain,
% 24.58/15.97 (v84(constB34, bitIndex2) | (~v94(constB34))),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4404, 1317, 4398])).
% 24.58/15.97 tff(4406,plain,
% 24.58/15.97 (v84(constB34, bitIndex2)),
% 24.58/15.97 inference(unit_resolution,[status(thm)],[4405, 4384])).
% 24.58/15.97 tff(4407,plain,
% 24.58/15.97 ((~v1(constB35)) <=> (~v1(constB35))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4408,axiom,(~v1(constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_35_1_1')).
% 24.58/15.97 tff(4409,plain,
% 24.58/15.97 (~v1(constB35)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 24.58/15.97 tff(4410,plain,
% 24.58/15.97 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4411,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_34_1')).
% 24.58/15.97 tff(4412,plain,
% 24.58/15.97 (nextState(constB34, constB35)),
% 24.58/15.97 inference(modus_ponens,[status(thm)],[4411, 4410])).
% 24.58/15.97 tff(4413,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4414,plain,
% 24.58/15.97 (((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35)) <=> (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 24.58/15.97 inference(rewrite,[status(thm)],[])).
% 24.58/15.97 tff(4415,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35))))),
% 24.58/15.97 inference(monotonicity,[status(thm)],[4414])).
% 24.58/15.97 tff(4416,plain,
% 24.58/15.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35)))),
% 24.58/15.97 inference(transitivity,[status(thm)],[4415, 4413])).
% 24.58/15.97 tff(4417,plain,
% 24.58/15.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB34, constB35)) | (~v95(constB35)) | v1(constB35))),
% 24.58/15.98 inference(quant_inst,[status(thm)],[])).
% 24.58/15.98 tff(4418,plain,
% 24.58/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB35) | (~nextState(constB34, constB35)) | (~v95(constB35))),
% 24.58/15.98 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 24.58/15.98 tff(4419,plain,
% 24.58/15.98 (~v95(constB35)),
% 24.58/15.98 inference(unit_resolution,[status(thm)],[4418, 73, 4412, 4409])).
% 24.58/15.98 tff(4420,plain,
% 24.58/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))),
% 24.58/15.98 inference(rewrite,[status(thm)],[])).
% 24.58/15.98 tff(4421,plain,
% 24.58/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35)))),
% 24.58/15.98 inference(quant_inst,[status(thm)],[])).
% 24.58/15.98 tff(4422,plain,
% 24.58/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB34, constB35)) | v95(constB35) | (~v94(constB35))),
% 24.58/15.98 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 24.58/15.98 tff(4423,plain,
% 24.58/15.98 (v95(constB35) | (~v94(constB35))),
% 24.58/15.98 inference(unit_resolution,[status(thm)],[4422, 90, 4412])).
% 24.58/15.98 tff(4424,plain,
% 24.58/15.98 (~v94(constB35)),
% 24.58/15.98 inference(unit_resolution,[status(thm)],[4423, 4419])).
% 24.58/15.98 tff(4425,plain,
% 24.58/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 24.58/15.98 inference(rewrite,[status(thm)],[])).
% 24.58/15.98 tff(4426,plain,
% 24.58/15.98 (((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2)) <=> ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 24.58/15.98 inference(rewrite,[status(thm)],[])).
% 24.58/15.98 tff(4427,plain,
% 24.58/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2)))),
% 24.58/15.98 inference(monotonicity,[status(thm)],[4426])).
% 24.58/15.98 tff(4428,plain,
% 24.58/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2))),
% 24.58/15.98 inference(transitivity,[status(thm)],[4427, 4425])).
% 24.58/15.98 tff(4429,plain,
% 24.58/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2))),
% 24.58/15.98 inference(quant_inst,[status(thm)],[])).
% 24.58/15.98 tff(4430,plain,
% 24.58/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB34, bitIndex2)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex2)),
% 24.58/15.98 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 24.58/15.98 tff(4431,plain,
% 24.58/15.98 ((~v84(constB34, bitIndex2)) | v94(constB35) | v84(constB35, bitIndex2)),
% 24.58/15.98 inference(unit_resolution,[status(thm)],[4430, 1353, 4412])).
% 24.58/15.98 tff(4432,plain,
% 24.58/15.98 ((~v84(constB34, bitIndex2)) | v84(constB35, bitIndex2)),
% 24.58/15.98 inference(unit_resolution,[status(thm)],[4431, 4424])).
% 24.58/15.98 tff(4433,plain,
% 24.58/15.98 (v84(constB35, bitIndex2)),
% 24.58/15.98 inference(unit_resolution,[status(thm)],[4432, 4406])).
% 24.58/15.98 tff(4434,plain,
% 24.58/15.98 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB33)) | (~v124(constB33, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB33)) | (~v124(constB33, bitIndex1)))),
% 24.58/15.98 inference(rewrite,[status(thm)],[])).
% 24.58/15.98 tff(4435,plain,
% 24.58/15.98 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB33)) | (~v124(constB33, bitIndex1)))),
% 24.58/15.98 inference(quant_inst,[status(thm)],[])).
% 24.58/15.98 tff(4436,plain,
% 24.58/15.98 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB33)) | (~v124(constB33, bitIndex1))),
% 24.58/15.98 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 24.58/15.98 tff(4437,plain,
% 24.58/15.98 (~v124(constB33, bitIndex1)),
% 24.58/15.98 inference(unit_resolution,[status(thm)],[4436, 1595, 4313])).
% 24.58/15.98 tff(4438,plain,
% 24.58/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1))),
% 24.58/15.98 inference(rewrite,[status(thm)],[])).
% 24.58/15.98 tff(4439,plain,
% 24.58/15.98 ((v26(constB33) | v124(constB33, bitIndex1) | (~v121(constB33, bitIndex1))) <=> ((~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1))),
% 24.58/15.98 inference(rewrite,[status(thm)],[])).
% 24.58/15.98 tff(4440,plain,
% 24.58/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB33) | v124(constB33, bitIndex1) | (~v121(constB33, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1)))),
% 24.58/15.98 inference(monotonicity,[status(thm)],[4439])).
% 24.58/15.98 tff(4441,plain,
% 24.58/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB33) | v124(constB33, bitIndex1) | (~v121(constB33, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1))),
% 24.58/15.98 inference(transitivity,[status(thm)],[4440, 4438])).
% 24.58/15.98 tff(4442,plain,
% 24.58/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB33) | v124(constB33, bitIndex1) | (~v121(constB33, bitIndex1)))),
% 24.58/15.98 inference(quant_inst,[status(thm)],[])).
% 24.58/15.98 tff(4443,plain,
% 24.58/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB33, bitIndex1)) | v26(constB33) | v124(constB33, bitIndex1)),
% 24.58/15.98 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 24.58/15.98 tff(4444,plain,
% 24.58/15.98 ((~v121(constB33, bitIndex1)) | v124(constB33, bitIndex1)),
% 24.58/15.98 inference(unit_resolution,[status(thm)],[4443, 476, 4332])).
% 24.58/15.98 tff(4445,plain,
% 24.58/15.98 (~v121(constB33, bitIndex1)),
% 24.58/15.98 inference(unit_resolution,[status(thm)],[4444, 4437])).
% 24.58/15.98 tff(4446,plain,
% 24.58/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4447,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB33, constB34)) | v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1)))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4448,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB33, constB34)) | v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1))),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4447, 4446])).
% 24.66/15.98 tff(4449,plain,
% 24.66/15.98 (v121(constB33, bitIndex1) | (~v123(constB34, bitIndex1))),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4448, 494, 4350])).
% 24.66/15.98 tff(4450,plain,
% 24.66/15.98 (~v123(constB34, bitIndex1)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4449, 4445])).
% 24.66/15.98 tff(4451,plain,
% 24.66/15.98 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4452,plain,
% 24.66/15.98 (((~v84(constB34, bitIndex1)) | (~v94(constB34)) | v123(constB34, bitIndex1)) <=> ((~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4453,plain,
% 24.66/15.98 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~v94(constB34)) | v123(constB34, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34))))),
% 24.66/15.98 inference(monotonicity,[status(thm)],[4452])).
% 24.66/15.98 tff(4454,plain,
% 24.66/15.98 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~v94(constB34)) | v123(constB34, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34)))),
% 24.66/15.98 inference(transitivity,[status(thm)],[4453, 4451])).
% 24.66/15.98 tff(4455,plain,
% 24.66/15.98 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB34, bitIndex1)) | (~v94(constB34)) | v123(constB34, bitIndex1))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4456,plain,
% 24.66/15.98 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1) | (~v94(constB34))),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4455, 4454])).
% 24.66/15.98 tff(4457,plain,
% 24.66/15.98 ((~v84(constB34, bitIndex1)) | (~v94(constB34))),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4456, 509, 4450])).
% 24.66/15.98 tff(4458,plain,
% 24.66/15.98 (~v84(constB34, bitIndex1)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4457, 4384])).
% 24.66/15.98 tff(4459,plain,
% 24.66/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4460,plain,
% 24.66/15.98 (((~nextState(constB34, constB35)) | v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1))) <=> (v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4461,plain,
% 24.66/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1))))),
% 24.66/15.98 inference(monotonicity,[status(thm)],[4460])).
% 24.66/15.98 tff(4462,plain,
% 24.66/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1)))),
% 24.66/15.98 inference(transitivity,[status(thm)],[4461, 4459])).
% 24.66/15.98 tff(4463,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB34, constB35)) | v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1)))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4464,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB34, bitIndex1) | (~nextState(constB34, constB35)) | v94(constB35) | (~v84(constB35, bitIndex1))),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4463, 4462])).
% 24.66/15.98 tff(4465,plain,
% 24.66/15.98 (v84(constB34, bitIndex1) | v94(constB35) | (~v84(constB35, bitIndex1))),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4464, 126, 4412])).
% 24.66/15.98 tff(4466,plain,
% 24.66/15.98 (v84(constB34, bitIndex1) | (~v84(constB35, bitIndex1))),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4465, 4424])).
% 24.66/15.98 tff(4467,plain,
% 24.66/15.98 (~v84(constB35, bitIndex1)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4466, 4458])).
% 24.66/15.98 tff(4468,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB33)) | v124(constB33, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB33)) | v124(constB33, bitIndex0))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4469,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB33)) | v124(constB33, bitIndex0))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4470,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB33)) | v124(constB33, bitIndex0)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4469, 4468])).
% 24.66/15.98 tff(4471,plain,
% 24.66/15.98 (v124(constB33, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4470, 1636, 4313])).
% 24.66/15.98 tff(4472,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB33) | (~v124(constB33, bitIndex0)) | v121(constB33, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB33) | (~v124(constB33, bitIndex0)) | v121(constB33, bitIndex0))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4473,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB33) | (~v124(constB33, bitIndex0)) | v121(constB33, bitIndex0))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4474,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB33) | (~v124(constB33, bitIndex0)) | v121(constB33, bitIndex0)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4473, 4472])).
% 24.66/15.98 tff(4475,plain,
% 24.66/15.98 ((~v124(constB33, bitIndex0)) | v121(constB33, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4474, 547, 4332])).
% 24.66/15.98 tff(4476,plain,
% 24.66/15.98 (v121(constB33, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4475, 4471])).
% 24.66/15.98 tff(4477,plain,
% 24.66/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4478,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB33, constB34)) | (~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4479,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB33, constB34)) | (~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4478, 4477])).
% 24.66/15.98 tff(4480,plain,
% 24.66/15.98 ((~v121(constB33, bitIndex0)) | v123(constB34, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4479, 562, 4350])).
% 24.66/15.98 tff(4481,plain,
% 24.66/15.98 (v123(constB34, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4480, 4476])).
% 24.66/15.98 tff(4482,plain,
% 24.66/15.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4483,plain,
% 24.66/15.98 ((v84(constB34, bitIndex0) | (~v94(constB34)) | (~v123(constB34, bitIndex0))) <=> (v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4484,plain,
% 24.66/15.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v94(constB34)) | (~v123(constB34, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34))))),
% 24.66/15.98 inference(monotonicity,[status(thm)],[4483])).
% 24.66/15.98 tff(4485,plain,
% 24.66/15.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v94(constB34)) | (~v123(constB34, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34)))),
% 24.66/15.98 inference(transitivity,[status(thm)],[4484, 4482])).
% 24.66/15.98 tff(4486,plain,
% 24.66/15.98 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB34, bitIndex0) | (~v94(constB34)) | (~v123(constB34, bitIndex0)))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4487,plain,
% 24.66/15.98 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0)) | (~v94(constB34))),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4486, 4485])).
% 24.66/15.98 tff(4488,plain,
% 24.66/15.98 (v84(constB34, bitIndex0) | (~v94(constB34))),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4487, 577, 4481])).
% 24.66/15.98 tff(4489,plain,
% 24.66/15.98 (v84(constB34, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4488, 4384])).
% 24.66/15.98 tff(4490,plain,
% 24.66/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4491,plain,
% 24.66/15.98 (((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0)) <=> ((~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4492,plain,
% 24.66/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0)))),
% 24.66/15.98 inference(monotonicity,[status(thm)],[4491])).
% 24.66/15.98 tff(4493,plain,
% 24.66/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0))),
% 24.66/15.98 inference(transitivity,[status(thm)],[4492, 4490])).
% 24.66/15.98 tff(4494,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB34, constB35)) | (~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4495,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB34, bitIndex0)) | (~nextState(constB34, constB35)) | v94(constB35) | v84(constB35, bitIndex0)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4494, 4493])).
% 24.66/15.98 tff(4496,plain,
% 24.66/15.98 ((~v84(constB34, bitIndex0)) | v94(constB35) | v84(constB35, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4495, 595, 4412])).
% 24.66/15.98 tff(4497,plain,
% 24.66/15.98 ((~v84(constB34, bitIndex0)) | v84(constB35, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4496, 4424])).
% 24.66/15.98 tff(4498,plain,
% 24.66/15.98 (v84(constB35, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4497, 4489])).
% 24.66/15.98 tff(4499,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB35, bitIndex0)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex2)) | v118(constB35))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB35, bitIndex0)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex2)) | v118(constB35))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4500,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB35, bitIndex0)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex2)) | v118(constB35))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4501,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB35, bitIndex0)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex2)) | v118(constB35)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 24.66/15.98 tff(4502,plain,
% 24.66/15.98 (v118(constB35)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4501, 1677, 4498, 4467, 4433])).
% 24.66/15.98 tff(4503,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB35)) | v124(constB35, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB35)) | v124(constB35, bitIndex1))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4504,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB35)) | v124(constB35, bitIndex1))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4505,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB35)) | v124(constB35, bitIndex1)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4504, 4503])).
% 24.66/15.98 tff(4506,plain,
% 24.66/15.98 (v124(constB35, bitIndex1)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4505, 1817, 4502])).
% 24.66/15.98 tff(4507,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB35) | (~v124(constB35, bitIndex1)) | v121(constB35, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB35) | (~v124(constB35, bitIndex1)) | v121(constB35, bitIndex1))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4508,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB35) | (~v124(constB35, bitIndex1)) | v121(constB35, bitIndex1))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4509,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB35) | (~v124(constB35, bitIndex1)) | v121(constB35, bitIndex1)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4508, 4507])).
% 24.66/15.98 tff(4510,plain,
% 24.66/15.98 (v26(constB35) | v121(constB35, bitIndex1)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4509, 812, 4506])).
% 24.66/15.98 tff(4511,plain,
% 24.66/15.98 (v121(constB35, bitIndex1)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4510, 21])).
% 24.66/15.98 tff(4512,plain,
% 24.66/15.98 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4513,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_35_1')).
% 24.66/15.98 tff(4514,plain,
% 24.66/15.98 (nextState(constB35, constB36)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4513, 4512])).
% 24.66/15.98 tff(4515,plain,
% 24.66/15.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4516,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4517,plain,
% 24.66/15.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 24.66/15.98 tff(4518,plain,
% 24.66/15.98 ((~v121(constB35, bitIndex1)) | v123(constB36, bitIndex1)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4517, 827, 4514])).
% 24.66/15.98 tff(4519,plain,
% 24.66/15.98 (v123(constB36, bitIndex1)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4518, 4511])).
% 24.66/15.98 tff(4520,assumption,(v121(constB35, bitIndex0)), introduced(assumption)).
% 24.66/15.98 tff(4521,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB35)) | (~v124(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB35)) | (~v124(constB35, bitIndex0)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4522,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB35)) | (~v124(constB35, bitIndex0)))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4523,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB35)) | (~v124(constB35, bitIndex0))),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 24.66/15.98 tff(4524,plain,
% 24.66/15.98 (~v124(constB35, bitIndex0)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4523, 1855, 4502])).
% 24.66/15.98 tff(4525,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4526,plain,
% 24.66/15.98 ((v26(constB35) | v124(constB35, bitIndex0) | (~v121(constB35, bitIndex0))) <=> ((~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4527,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB35) | v124(constB35, bitIndex0) | (~v121(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0)))),
% 24.66/15.98 inference(monotonicity,[status(thm)],[4526])).
% 24.66/15.98 tff(4528,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB35) | v124(constB35, bitIndex0) | (~v121(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0))),
% 24.66/15.98 inference(transitivity,[status(thm)],[4527, 4525])).
% 24.66/15.98 tff(4529,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB35) | v124(constB35, bitIndex0) | (~v121(constB35, bitIndex0)))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4530,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB35, bitIndex0)) | v26(constB35) | v124(constB35, bitIndex0)),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4529, 4528])).
% 24.66/15.98 tff(4531,plain,
% 24.66/15.98 ((~v121(constB35, bitIndex0)) | v26(constB35)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4530, 890, 4524])).
% 24.66/15.98 tff(4532,plain,
% 24.66/15.98 (v26(constB35)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4531, 4520])).
% 24.66/15.98 tff(4533,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB35)) | (~v121(constB35, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB35)) | (~v121(constB35, bitIndex0)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4534,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB35)) | (~v121(constB35, bitIndex0)))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4535,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB35)) | (~v121(constB35, bitIndex0))),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4534, 4533])).
% 24.66/15.98 tff(4536,plain,
% 24.66/15.98 ($false),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4535, 2385, 4520, 4532])).
% 24.66/15.98 tff(4537,plain,(~v121(constB35, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.66/15.98 tff(4538,assumption,(~v102(constB35)), introduced(assumption)).
% 24.66/15.98 tff(4539,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB35) | (~v106(constB35)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v106(constB35)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4540,plain,
% 24.66/15.98 (((~v106(constB35)) | v102(constB35)) <=> (v102(constB35) | (~v106(constB35)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4541,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB35)) | v102(constB35))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB35) | (~v106(constB35))))),
% 24.66/15.98 inference(monotonicity,[status(thm)],[4540])).
% 24.66/15.98 tff(4542,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB35)) | v102(constB35))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v106(constB35)))),
% 24.66/15.98 inference(transitivity,[status(thm)],[4541, 4539])).
% 24.66/15.98 tff(4543,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB35)) | v102(constB35))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4544,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v106(constB35))),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4543, 4542])).
% 24.66/15.98 tff(4545,plain,
% 24.66/15.98 (~v106(constB35)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4544, 275, 4538])).
% 24.66/15.98 tff(4546,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB35) | (~v26(constB35)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v26(constB35)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4547,plain,
% 24.66/15.98 (((~v26(constB35)) | v102(constB35)) <=> (v102(constB35) | (~v26(constB35)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4548,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB35)) | v102(constB35))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB35) | (~v26(constB35))))),
% 24.66/15.98 inference(monotonicity,[status(thm)],[4547])).
% 24.66/15.98 tff(4549,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB35)) | v102(constB35))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v26(constB35)))),
% 24.66/15.98 inference(transitivity,[status(thm)],[4548, 4546])).
% 24.66/15.98 tff(4550,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB35)) | v102(constB35))),
% 24.66/15.98 inference(quant_inst,[status(thm)],[])).
% 24.66/15.98 tff(4551,plain,
% 24.66/15.98 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB35) | (~v26(constB35))),
% 24.66/15.98 inference(modus_ponens,[status(thm)],[4550, 4549])).
% 24.66/15.98 tff(4552,plain,
% 24.66/15.98 (~v26(constB35)),
% 24.66/15.98 inference(unit_resolution,[status(thm)],[4551, 660, 4538])).
% 24.66/15.98 tff(4553,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | v106(constB35) | (~v107(constB35)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4554,plain,
% 24.66/15.98 ((v26(constB35) | (~v107(constB35)) | v106(constB35)) <=> (v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 24.66/15.98 inference(rewrite,[status(thm)],[])).
% 24.66/15.98 tff(4555,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | v106(constB35) | (~v107(constB35))))),
% 24.66/15.98 inference(monotonicity,[status(thm)],[4554])).
% 24.66/15.98 tff(4556,plain,
% 24.66/15.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35)))),
% 24.66/15.99 inference(transitivity,[status(thm)],[4555, 4553])).
% 24.66/15.99 tff(4557,plain,
% 24.66/15.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB35) | (~v107(constB35)) | v106(constB35))),
% 24.66/15.99 inference(quant_inst,[status(thm)],[])).
% 24.66/15.99 tff(4558,plain,
% 24.66/15.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB35) | v106(constB35) | (~v107(constB35))),
% 24.66/15.99 inference(modus_ponens,[status(thm)],[4557, 4556])).
% 24.66/15.99 tff(4559,plain,
% 24.66/15.99 (~v107(constB35)),
% 24.66/15.99 inference(unit_resolution,[status(thm)],[4558, 263, 4552, 4545])).
% 24.66/15.99 tff(4560,plain,
% 24.66/15.99 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB35) | (~v108(constB35)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB35) | (~v108(constB35)))),
% 24.66/15.99 inference(rewrite,[status(thm)],[])).
% 24.66/15.99 tff(4561,plain,
% 24.66/15.99 (((~v108(constB35)) | v107(constB35)) <=> (v107(constB35) | (~v108(constB35)))),
% 24.66/15.99 inference(rewrite,[status(thm)],[])).
% 24.66/15.99 tff(4562,plain,
% 24.66/15.99 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB35)) | v107(constB35))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB35) | (~v108(constB35))))),
% 24.66/15.99 inference(monotonicity,[status(thm)],[4561])).
% 24.66/15.99 tff(4563,plain,
% 24.66/15.99 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB35)) | v107(constB35))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB35) | (~v108(constB35)))),
% 24.66/15.99 inference(transitivity,[status(thm)],[4562, 4560])).
% 24.66/15.99 tff(4564,plain,
% 24.66/15.99 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB35)) | v107(constB35))),
% 24.66/15.99 inference(quant_inst,[status(thm)],[])).
% 24.66/15.99 tff(4565,plain,
% 24.66/15.99 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB35) | (~v108(constB35))),
% 24.66/15.99 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 24.66/15.99 tff(4566,plain,
% 24.66/15.99 (~v108(constB35)),
% 24.66/15.99 inference(unit_resolution,[status(thm)],[4565, 249, 4559])).
% 24.66/15.99 tff(4567,plain,
% 24.66/15.99 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v109(constB35)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v109(constB35)))),
% 24.66/15.99 inference(rewrite,[status(thm)],[])).
% 24.66/15.99 tff(4568,plain,
% 24.66/15.99 (((~v109(constB35)) | v108(constB35)) <=> (v108(constB35) | (~v109(constB35)))),
% 24.66/15.99 inference(rewrite,[status(thm)],[])).
% 24.66/15.99 tff(4569,plain,
% 24.66/15.99 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v109(constB35))))),
% 24.66/15.99 inference(monotonicity,[status(thm)],[4568])).
% 24.66/15.99 tff(4570,plain,
% 24.66/15.99 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v109(constB35)))),
% 24.66/15.99 inference(transitivity,[status(thm)],[4569, 4567])).
% 24.66/15.99 tff(4571,plain,
% 24.66/15.99 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB35)) | v108(constB35))),
% 24.66/15.99 inference(quant_inst,[status(thm)],[])).
% 24.66/15.99 tff(4572,plain,
% 24.66/15.99 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v109(constB35))),
% 24.66/15.99 inference(modus_ponens,[status(thm)],[4571, 4570])).
% 24.66/15.99 tff(4573,plain,
% 24.66/15.99 (~v109(constB35)),
% 24.66/15.99 inference(unit_resolution,[status(thm)],[4572, 235, 4566])).
% 24.66/15.99 tff(4574,plain,
% 24.66/15.99 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB35) | (~v110(constB35)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB35) | (~v110(constB35)))),
% 24.66/15.99 inference(rewrite,[status(thm)],[])).
% 24.66/15.99 tff(4575,plain,
% 24.66/15.99 (((~v110(constB35)) | v109(constB35)) <=> (v109(constB35) | (~v110(constB35)))),
% 24.66/15.99 inference(rewrite,[status(thm)],[])).
% 24.66/15.99 tff(4576,plain,
% 24.66/15.99 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB35)) | v109(constB35))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB35) | (~v110(constB35))))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4575])).
% 24.67/15.99 tff(4577,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB35)) | v109(constB35))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB35) | (~v110(constB35)))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4576, 4574])).
% 24.67/15.99 tff(4578,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB35)) | v109(constB35))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4579,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB35) | (~v110(constB35))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4578, 4577])).
% 24.67/15.99 tff(4580,plain,
% 24.67/15.99 (~v110(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4579, 221, 4573])).
% 24.67/15.99 tff(4581,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB35) | (~v111(constB35)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB35) | (~v111(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4582,plain,
% 24.67/15.99 (((~v111(constB35)) | v110(constB35)) <=> (v110(constB35) | (~v111(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4583,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB35)) | v110(constB35))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB35) | (~v111(constB35))))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4582])).
% 24.67/15.99 tff(4584,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB35)) | v110(constB35))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB35) | (~v111(constB35)))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4583, 4581])).
% 24.67/15.99 tff(4585,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB35)) | v110(constB35))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4586,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB35) | (~v111(constB35))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 24.67/15.99 tff(4587,plain,
% 24.67/15.99 (~v111(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4586, 207, 4580])).
% 24.67/15.99 tff(4588,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB35) | (~v112(constB35)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB35) | (~v112(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4589,plain,
% 24.67/15.99 (((~v112(constB35)) | v111(constB35)) <=> (v111(constB35) | (~v112(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4590,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB35)) | v111(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB35) | (~v112(constB35))))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4589])).
% 24.67/15.99 tff(4591,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB35)) | v111(constB35))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB35) | (~v112(constB35)))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4590, 4588])).
% 24.67/15.99 tff(4592,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB35)) | v111(constB35))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4593,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB35) | (~v112(constB35))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 24.67/15.99 tff(4594,plain,
% 24.67/15.99 (~v112(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4593, 193, 4587])).
% 24.67/15.99 tff(4595,assumption,(~v121(constB35, bitIndex0)), introduced(assumption)).
% 24.67/15.99 tff(4596,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4597,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4598,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB35) | (~v124(constB35, bitIndex0)) | v121(constB35, bitIndex0)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4597, 4596])).
% 24.67/15.99 tff(4599,plain,
% 24.67/15.99 (v26(constB35) | (~v124(constB35, bitIndex0))),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4598, 547, 4595])).
% 24.67/15.99 tff(4600,plain,
% 24.67/15.99 (~v124(constB35, bitIndex0)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4599, 4552])).
% 24.67/15.99 tff(4601,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB35)) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB35)) | v124(constB35, bitIndex0))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4602,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB35)) | v124(constB35, bitIndex0))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4603,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB35)) | v124(constB35, bitIndex0)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4602, 4601])).
% 24.67/15.99 tff(4604,plain,
% 24.67/15.99 (~v172(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4603, 1636, 4600])).
% 24.67/15.99 tff(4605,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v118(constB35)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v118(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4606,plain,
% 24.67/15.99 (((~v118(constB35)) | v108(constB35)) <=> (v108(constB35) | (~v118(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4607,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB35) | (~v118(constB35))))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4606])).
% 24.67/15.99 tff(4608,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB35)) | v108(constB35))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v118(constB35)))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4607, 4605])).
% 24.67/15.99 tff(4609,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB35)) | v108(constB35))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4610,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB35) | (~v118(constB35))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4609, 4608])).
% 24.67/15.99 tff(4611,plain,
% 24.67/15.99 (~v118(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4610, 1688, 4566])).
% 24.67/15.99 tff(4612,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB35)) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB35)) | v124(constB35, bitIndex0))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4613,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB35)) | v124(constB35, bitIndex0))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4614,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB35)) | v124(constB35, bitIndex0)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4613, 4612])).
% 24.67/15.99 tff(4615,plain,
% 24.67/15.99 (~v115(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4614, 1140, 4600])).
% 24.67/15.99 tff(4616,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB35)) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB35)) | v124(constB35, bitIndex0))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4617,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB35)) | v124(constB35, bitIndex0))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4618,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB35)) | v124(constB35, bitIndex0)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4617, 4616])).
% 24.67/15.99 tff(4619,plain,
% 24.67/15.99 (~v113(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4618, 533, 4600])).
% 24.67/15.99 tff(4620,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB35) | (~v116(constB35)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB35) | (~v116(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4621,plain,
% 24.67/15.99 (((~v116(constB35)) | v110(constB35)) <=> (v110(constB35) | (~v116(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4622,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB35)) | v110(constB35))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB35) | (~v116(constB35))))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4621])).
% 24.67/15.99 tff(4623,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB35)) | v110(constB35))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB35) | (~v116(constB35)))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4622, 4620])).
% 24.67/15.99 tff(4624,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB35)) | v110(constB35))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4625,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB35) | (~v116(constB35))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 24.67/15.99 tff(4626,plain,
% 24.67/15.99 (~v116(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4625, 1192, 4580])).
% 24.67/15.99 tff(4627,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4628,plain,
% 24.67/15.99 ((v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0)) <=> (v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4629,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4628])).
% 24.67/15.99 tff(4630,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4629, 4627])).
% 24.67/15.99 tff(4631,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35) | v118(constB35) | v124(constB35, bitIndex0))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4632,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB35, bitIndex0) | v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4631, 4630])).
% 24.67/15.99 tff(4633,plain,
% 24.67/15.99 (v118(constB35) | v113(constB35) | v145(constB35) | v115(constB35) | v116(constB35) | v172(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4632, 2152, 4600])).
% 24.67/15.99 tff(4634,plain,
% 24.67/15.99 (v145(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4633, 4626, 4619, 4615, 4611, 4604])).
% 24.67/15.99 tff(4635,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB35) | (~v145(constB35)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB35) | (~v145(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4636,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB35) | (~v145(constB35)))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4637,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB35) | (~v145(constB35))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4636, 4635])).
% 24.67/15.99 tff(4638,plain,
% 24.67/15.99 ($false),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4637, 677, 4634, 4594])).
% 24.67/15.99 tff(4639,plain,(v102(constB35) | v121(constB35, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.67/15.99 tff(4640,plain,
% 24.67/15.99 (v102(constB35)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4639, 4537])).
% 24.67/15.99 tff(4641,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4642,plain,
% 24.67/15.99 (((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36)) <=> ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4643,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35))))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4642])).
% 24.67/15.99 tff(4644,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35)))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4643, 4641])).
% 24.67/15.99 tff(4645,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB35, constB36)) | (~v102(constB35)) | v104(constB36))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4646,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB35, constB36)) | v104(constB36) | (~v102(constB35))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4645, 4644])).
% 24.67/15.99 tff(4647,plain,
% 24.67/15.99 (v104(constB36) | (~v102(constB35))),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4646, 295, 4514])).
% 24.67/15.99 tff(4648,plain,
% 24.67/15.99 (v104(constB36)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4647, 4640])).
% 24.67/15.99 tff(4649,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4650,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36)))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4651,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB35) | (~nextState(constB35, constB36)) | (~v98(constB36))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4650, 4649])).
% 24.67/15.99 tff(4652,plain,
% 24.67/15.99 (~v98(constB36)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4651, 313, 4514, 4409])).
% 24.67/15.99 tff(4653,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4654,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB35, constB36)) | v96(constB36) | v98(constB36))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4655,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB35, constB36)) | v96(constB36) | v98(constB36)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4654, 4653])).
% 24.67/15.99 tff(4656,plain,
% 24.67/15.99 (v96(constB36) | v98(constB36)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4655, 327, 4514])).
% 24.67/15.99 tff(4657,plain,
% 24.67/15.99 (v96(constB36)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4656, 4652])).
% 24.67/15.99 tff(4658,plain,
% 24.67/15.99 (v1(constB36) <=> v1(constB36)),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4659,axiom,(v1(constB36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_36_1')).
% 24.67/15.99 tff(4660,plain,
% 24.67/15.99 (v1(constB36)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 24.67/15.99 tff(4661,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4662,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36)))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4663,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB35, constB36)) | v95(constB36) | (~v96(constB36)) | (~v1(constB36))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4662, 4661])).
% 24.67/15.99 tff(4664,plain,
% 24.67/15.99 (v95(constB36) | (~v96(constB36))),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4663, 345, 4514, 4660])).
% 24.67/15.99 tff(4665,plain,
% 24.67/15.99 (v95(constB36)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4664, 4657])).
% 24.67/15.99 tff(4666,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4667,plain,
% 24.67/15.99 (((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36)) <=> ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4668,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36))))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4667])).
% 24.67/15.99 tff(4669,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36)))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4668, 4666])).
% 24.67/15.99 tff(4670,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB35, constB36)) | (~v95(constB36)) | (~v104(constB36)) | v94(constB36))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4671,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB35, constB36)) | v94(constB36) | (~v95(constB36)) | (~v104(constB36))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4670, 4669])).
% 24.67/15.99 tff(4672,plain,
% 24.67/15.99 (v94(constB36) | (~v95(constB36)) | (~v104(constB36))),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4671, 360, 4514])).
% 24.67/15.99 tff(4673,plain,
% 24.67/15.99 (v94(constB36) | (~v104(constB36))),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4672, 4665])).
% 24.67/15.99 tff(4674,plain,
% 24.67/15.99 (v94(constB36)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4673, 4648])).
% 24.67/15.99 tff(4675,plain,
% 24.67/15.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4676,plain,
% 24.67/15.99 ((v84(constB36, bitIndex1) | (~v94(constB36)) | (~v123(constB36, bitIndex1))) <=> (v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4677,plain,
% 24.67/15.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v94(constB36)) | (~v123(constB36, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36))))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4676])).
% 24.67/15.99 tff(4678,plain,
% 24.67/15.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v94(constB36)) | (~v123(constB36, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36)))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4677, 4675])).
% 24.67/15.99 tff(4679,plain,
% 24.67/15.99 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~v94(constB36)) | (~v123(constB36, bitIndex1)))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4680,plain,
% 24.67/15.99 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1)) | (~v94(constB36))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 24.67/15.99 tff(4681,plain,
% 24.67/15.99 (v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1))),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4680, 842, 4674])).
% 24.67/15.99 tff(4682,plain,
% 24.67/15.99 (v84(constB36, bitIndex1)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4681, 4519])).
% 24.67/15.99 tff(4683,plain,
% 24.67/15.99 ((~v1(constB37)) <=> (~v1(constB37))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4684,axiom,(~v1(constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_37_1_1')).
% 24.67/15.99 tff(4685,plain,
% 24.67/15.99 (~v1(constB37)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4684, 4683])).
% 24.67/15.99 tff(4686,plain,
% 24.67/15.99 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4687,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_36_1')).
% 24.67/15.99 tff(4688,plain,
% 24.67/15.99 (nextState(constB36, constB37)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4687, 4686])).
% 24.67/15.99 tff(4689,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4690,plain,
% 24.67/15.99 (((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37)) <=> (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4691,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37))))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4690])).
% 24.67/15.99 tff(4692,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37)))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4691, 4689])).
% 24.67/15.99 tff(4693,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB36, constB37)) | (~v95(constB37)) | v1(constB37))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4694,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB37) | (~nextState(constB36, constB37)) | (~v95(constB37))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4693, 4692])).
% 24.67/15.99 tff(4695,plain,
% 24.67/15.99 (~v95(constB37)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4694, 73, 4688, 4685])).
% 24.67/15.99 tff(4696,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4697,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37)))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4698,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB36, constB37)) | v95(constB37) | (~v94(constB37))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4697, 4696])).
% 24.67/15.99 tff(4699,plain,
% 24.67/15.99 (v95(constB37) | (~v94(constB37))),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4698, 90, 4688])).
% 24.67/15.99 tff(4700,plain,
% 24.67/15.99 (~v94(constB37)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4699, 4695])).
% 24.67/15.99 tff(4701,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4702,plain,
% 24.67/15.99 (((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1)) <=> ((~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4703,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1)))),
% 24.67/15.99 inference(monotonicity,[status(thm)],[4702])).
% 24.67/15.99 tff(4704,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1))),
% 24.67/15.99 inference(transitivity,[status(thm)],[4703, 4701])).
% 24.67/15.99 tff(4705,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4706,plain,
% 24.67/15.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex1)),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4705, 4704])).
% 24.67/15.99 tff(4707,plain,
% 24.67/15.99 ((~v84(constB36, bitIndex1)) | v94(constB37) | v84(constB37, bitIndex1)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4706, 860, 4688])).
% 24.67/15.99 tff(4708,plain,
% 24.67/15.99 ((~v84(constB36, bitIndex1)) | v84(constB37, bitIndex1)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4707, 4700])).
% 24.67/15.99 tff(4709,plain,
% 24.67/15.99 (v84(constB37, bitIndex1)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4708, 4682])).
% 24.67/15.99 tff(4710,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB37)) | (~v84(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB37)) | (~v84(constB37, bitIndex1)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4711,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB37)) | (~v84(constB37, bitIndex1)))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4712,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB37)) | (~v84(constB37, bitIndex1))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 24.67/15.99 tff(4713,plain,
% 24.67/15.99 (~v113(constB37)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4712, 1996, 4709])).
% 24.67/15.99 tff(4714,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB37)) | (~v84(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB37)) | (~v84(constB37, bitIndex1)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4715,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB37)) | (~v84(constB37, bitIndex1)))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4716,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB37)) | (~v84(constB37, bitIndex1))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 24.67/15.99 tff(4717,plain,
% 24.67/15.99 (~v172(constB37)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4716, 2029, 4709])).
% 24.67/15.99 tff(4718,assumption,(v115(constB37)), introduced(assumption)).
% 24.67/15.99 tff(4719,plain,
% 24.67/15.99 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB37)) | (~v84(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB37)) | (~v84(constB37, bitIndex2)))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4720,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB37)) | (~v84(constB37, bitIndex2)))),
% 24.67/15.99 inference(quant_inst,[status(thm)],[])).
% 24.67/15.99 tff(4721,plain,
% 24.67/15.99 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB37)) | (~v84(constB37, bitIndex2))),
% 24.67/15.99 inference(modus_ponens,[status(thm)],[4720, 4719])).
% 24.67/15.99 tff(4722,plain,
% 24.67/15.99 (~v84(constB37, bitIndex2)),
% 24.67/15.99 inference(unit_resolution,[status(thm)],[4721, 1974, 4718])).
% 24.67/15.99 tff(4723,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4724,plain,
% 24.67/15.99 (((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2)) <=> ((~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2))),
% 24.67/15.99 inference(rewrite,[status(thm)],[])).
% 24.67/15.99 tff(4725,plain,
% 24.67/15.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2)))),
% 24.67/16.00 inference(monotonicity,[status(thm)],[4724])).
% 24.67/16.00 tff(4726,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2))),
% 24.67/16.00 inference(transitivity,[status(thm)],[4725, 4723])).
% 24.67/16.00 tff(4727,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB36, constB37)) | (~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4728,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB36, bitIndex2)) | (~nextState(constB36, constB37)) | v94(constB37) | v84(constB37, bitIndex2)),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 24.67/16.00 tff(4729,plain,
% 24.67/16.00 ((~v84(constB36, bitIndex2)) | v94(constB37) | v84(constB37, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4728, 1353, 4688])).
% 24.67/16.00 tff(4730,plain,
% 24.67/16.00 ((~v84(constB36, bitIndex2)) | v84(constB37, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4729, 4700])).
% 24.67/16.00 tff(4731,plain,
% 24.67/16.00 (~v84(constB36, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4730, 4722])).
% 24.67/16.00 tff(4732,plain,
% 24.67/16.00 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4733,plain,
% 24.67/16.00 ((v84(constB36, bitIndex2) | (~v94(constB36)) | (~v123(constB36, bitIndex2))) <=> (v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4734,plain,
% 24.67/16.00 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v94(constB36)) | (~v123(constB36, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36))))),
% 24.67/16.00 inference(monotonicity,[status(thm)],[4733])).
% 24.67/16.00 tff(4735,plain,
% 24.67/16.00 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v94(constB36)) | (~v123(constB36, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36)))),
% 24.67/16.00 inference(transitivity,[status(thm)],[4734, 4732])).
% 24.67/16.00 tff(4736,plain,
% 24.67/16.00 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB36, bitIndex2) | (~v94(constB36)) | (~v123(constB36, bitIndex2)))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4737,plain,
% 24.67/16.00 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2)) | (~v94(constB36))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4736, 4735])).
% 24.67/16.00 tff(4738,plain,
% 24.67/16.00 (v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2))),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4737, 1317, 4674])).
% 24.67/16.00 tff(4739,plain,
% 24.67/16.00 (~v123(constB36, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4738, 4731])).
% 24.67/16.00 tff(4740,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4741,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB35, constB36)) | (~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4742,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB35, constB36)) | (~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2)),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 24.67/16.00 tff(4743,plain,
% 24.67/16.00 ((~v121(constB35, bitIndex2)) | v123(constB36, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4742, 1302, 4514])).
% 24.67/16.00 tff(4744,plain,
% 24.67/16.00 (~v121(constB35, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4743, 4739])).
% 24.67/16.00 tff(4745,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB35)) | v124(constB35, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB35)) | v124(constB35, bitIndex2))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4746,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB35)) | v124(constB35, bitIndex2))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4747,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB35)) | v124(constB35, bitIndex2)),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4746, 4745])).
% 24.67/16.00 tff(4748,plain,
% 24.67/16.00 (v124(constB35, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4747, 1761, 4502])).
% 24.67/16.00 tff(4749,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB35) | (~v124(constB35, bitIndex2)) | v121(constB35, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB35) | (~v124(constB35, bitIndex2)) | v121(constB35, bitIndex2))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4750,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB35) | (~v124(constB35, bitIndex2)) | v121(constB35, bitIndex2))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4751,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB35) | (~v124(constB35, bitIndex2)) | v121(constB35, bitIndex2)),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4750, 4749])).
% 24.67/16.00 tff(4752,plain,
% 24.67/16.00 (v26(constB35) | v121(constB35, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4751, 1287, 4748])).
% 24.67/16.00 tff(4753,plain,
% 24.67/16.00 (v26(constB35)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4752, 4744])).
% 24.67/16.00 tff(4754,plain,
% 24.67/16.00 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v115(VarCurr)) | v84(VarCurr, bitIndex1)))),
% 24.67/16.00 inference(bind,[status(th)],[])).
% 24.67/16.00 tff(4755,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 24.67/16.00 inference(quant_intro,[status(thm)],[4754])).
% 24.67/16.00 tff(4756,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4757,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 24.67/16.00 tff(4758,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4757, 4756])).
% 24.67/16.00 tff(4759,plain,(
% 24.67/16.00 ![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 24.67/16.00 inference(skolemize,[status(sab)],[4758])).
% 24.67/16.00 tff(4760,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4759, 4755])).
% 24.67/16.00 tff(4761,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v115(constB37)) | v84(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v115(constB37)) | v84(constB37, bitIndex1))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4762,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v115(constB37)) | v84(constB37, bitIndex1))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4763,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v115(constB37)) | v84(constB37, bitIndex1)),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 24.67/16.00 tff(4764,plain,
% 24.67/16.00 (v84(constB37, bitIndex1)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4763, 4760, 4718])).
% 24.67/16.00 tff(4765,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4766,plain,
% 24.67/16.00 (((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1))) <=> (v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4767,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1))))),
% 24.67/16.00 inference(monotonicity,[status(thm)],[4766])).
% 24.67/16.00 tff(4768,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 24.67/16.00 inference(transitivity,[status(thm)],[4767, 4765])).
% 24.67/16.00 tff(4769,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1)))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4770,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB36, bitIndex1) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex1))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 24.67/16.00 tff(4771,plain,
% 24.67/16.00 (v84(constB36, bitIndex1) | v94(constB37) | (~v84(constB37, bitIndex1))),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4770, 126, 4688])).
% 24.67/16.00 tff(4772,plain,
% 24.67/16.00 (v84(constB36, bitIndex1) | (~v84(constB37, bitIndex1))),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4771, 4700])).
% 24.67/16.00 tff(4773,plain,
% 24.67/16.00 (v84(constB36, bitIndex1)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4772, 4764])).
% 24.67/16.00 tff(4774,plain,
% 24.67/16.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4775,plain,
% 24.67/16.00 (((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1)) <=> ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4776,plain,
% 24.67/16.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36))))),
% 24.67/16.00 inference(monotonicity,[status(thm)],[4775])).
% 24.67/16.00 tff(4777,plain,
% 24.67/16.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36)))),
% 24.67/16.00 inference(transitivity,[status(thm)],[4776, 4774])).
% 24.67/16.00 tff(4778,plain,
% 24.67/16.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB36, bitIndex1)) | (~v94(constB36)) | v123(constB36, bitIndex1))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4779,plain,
% 24.67/16.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1) | (~v94(constB36))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 24.67/16.00 tff(4780,plain,
% 24.67/16.00 ((~v84(constB36, bitIndex1)) | v123(constB36, bitIndex1)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4779, 509, 4674])).
% 24.67/16.00 tff(4781,plain,
% 24.67/16.00 (v123(constB36, bitIndex1)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4780, 4773])).
% 24.67/16.00 tff(4782,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4783,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1)))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4784,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 24.67/16.00 tff(4785,plain,
% 24.67/16.00 (v121(constB35, bitIndex1) | (~v123(constB36, bitIndex1))),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4784, 494, 4514])).
% 24.67/16.00 tff(4786,plain,
% 24.67/16.00 (v121(constB35, bitIndex1)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4785, 4781])).
% 24.67/16.00 tff(4787,plain,
% 24.67/16.00 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1))) <=> ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1))))),
% 24.67/16.00 inference(bind,[status(th)],[])).
% 24.67/16.00 tff(4788,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 24.67/16.00 inference(quant_intro,[status(thm)],[4787])).
% 24.67/16.00 tff(4789,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4790,axiom,(![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_2')).
% 24.67/16.00 tff(4791,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4790, 4789])).
% 24.67/16.00 tff(4792,plain,(
% 24.67/16.00 ![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 24.67/16.00 inference(skolemize,[status(sab)],[4791])).
% 24.67/16.00 tff(4793,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4792, 4788])).
% 24.67/16.00 tff(4794,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | ((~v26(constB35)) | (~v121(constB35, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | (~v26(constB35)) | (~v121(constB35, bitIndex1)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4795,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | ((~v26(constB35)) | (~v121(constB35, bitIndex1)))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4796,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex1)))) | (~v26(constB35)) | (~v121(constB35, bitIndex1))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 24.67/16.00 tff(4797,plain,
% 24.67/16.00 ($false),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4796, 4793, 4786, 4753])).
% 24.67/16.00 tff(4798,plain,(~v115(constB37)), inference(lemma,lemma(discharge,[]))).
% 24.67/16.00 tff(4799,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4800,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB35, constB36)) | v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0)))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4801,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB35, constB36)) | v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4800, 4799])).
% 24.67/16.00 tff(4802,plain,
% 24.67/16.00 (v121(constB35, bitIndex0) | (~v123(constB36, bitIndex0))),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4801, 908, 4514])).
% 24.67/16.00 tff(4803,plain,
% 24.67/16.00 (~v123(constB36, bitIndex0)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4802, 4537])).
% 24.67/16.00 tff(4804,plain,
% 24.67/16.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4805,plain,
% 24.67/16.00 (((~v84(constB36, bitIndex0)) | (~v94(constB36)) | v123(constB36, bitIndex0)) <=> ((~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4806,plain,
% 24.67/16.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~v94(constB36)) | v123(constB36, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36))))),
% 24.67/16.00 inference(monotonicity,[status(thm)],[4805])).
% 24.67/16.00 tff(4807,plain,
% 24.67/16.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~v94(constB36)) | v123(constB36, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36)))),
% 24.67/16.00 inference(transitivity,[status(thm)],[4806, 4804])).
% 24.67/16.00 tff(4808,plain,
% 24.67/16.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB36, bitIndex0)) | (~v94(constB36)) | v123(constB36, bitIndex0))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4809,plain,
% 24.67/16.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0) | (~v94(constB36))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4808, 4807])).
% 24.67/16.00 tff(4810,plain,
% 24.67/16.00 (~v84(constB36, bitIndex0)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4809, 923, 4674, 4803])).
% 24.67/16.00 tff(4811,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4812,plain,
% 24.67/16.00 (((~nextState(constB36, constB37)) | v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0))) <=> (v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4813,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0))))),
% 24.67/16.00 inference(monotonicity,[status(thm)],[4812])).
% 24.67/16.00 tff(4814,plain,
% 24.67/16.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0)))),
% 24.67/16.00 inference(transitivity,[status(thm)],[4813, 4811])).
% 24.67/16.00 tff(4815,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB36, constB37)) | v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0)))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4816,plain,
% 24.67/16.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB36, bitIndex0) | (~nextState(constB36, constB37)) | v94(constB37) | (~v84(constB37, bitIndex0))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4815, 4814])).
% 24.67/16.00 tff(4817,plain,
% 24.67/16.00 (v84(constB36, bitIndex0) | v94(constB37) | (~v84(constB37, bitIndex0))),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4816, 147, 4688])).
% 24.67/16.00 tff(4818,plain,
% 24.67/16.00 (v84(constB36, bitIndex0) | (~v84(constB37, bitIndex0))),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4817, 4700])).
% 24.67/16.00 tff(4819,plain,
% 24.67/16.00 (~v84(constB37, bitIndex0)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4818, 4810])).
% 24.67/16.00 tff(4820,plain,
% 24.67/16.00 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ((~v116(VarCurr)) | v84(VarCurr, bitIndex0)))),
% 24.67/16.00 inference(bind,[status(th)],[])).
% 24.67/16.00 tff(4821,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(quant_intro,[status(thm)],[4820])).
% 24.67/16.00 tff(4822,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4823,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 24.67/16.00 tff(4824,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4823, 4822])).
% 24.67/16.00 tff(4825,plain,(
% 24.67/16.00 ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(skolemize,[status(sab)],[4824])).
% 24.67/16.00 tff(4826,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4825, 4821])).
% 24.67/16.00 tff(4827,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB37)) | v84(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB37)) | v84(constB37, bitIndex0))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4828,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB37)) | v84(constB37, bitIndex0))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4829,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB37)) | v84(constB37, bitIndex0)),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 24.67/16.00 tff(4830,plain,
% 24.67/16.00 (~v116(constB37)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4829, 4826, 4819])).
% 24.67/16.00 tff(4831,plain,
% 24.67/16.00 (^[VarCurr: state_type] : refl(((~v118(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ((~v118(VarCurr)) | v84(VarCurr, bitIndex0)))),
% 24.67/16.00 inference(bind,[status(th)],[])).
% 24.67/16.00 tff(4832,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(quant_intro,[status(thm)],[4831])).
% 24.67/16.00 tff(4833,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4834,axiom,(![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 24.67/16.00 tff(4835,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4834, 4833])).
% 24.67/16.00 tff(4836,plain,(
% 24.67/16.00 ![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(skolemize,[status(sab)],[4835])).
% 24.67/16.00 tff(4837,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4836, 4832])).
% 24.67/16.00 tff(4838,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v118(constB37)) | v84(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v118(constB37)) | v84(constB37, bitIndex0))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4839,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v118(constB37)) | v84(constB37, bitIndex0))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4840,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v118(constB37)) | v84(constB37, bitIndex0)),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4839, 4838])).
% 24.67/16.00 tff(4841,plain,
% 24.67/16.00 (~v118(constB37)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4840, 4837, 4819])).
% 24.67/16.00 tff(4842,plain,
% 24.67/16.00 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ((~v145(VarCurr)) | v84(VarCurr, bitIndex0)))),
% 24.67/16.00 inference(bind,[status(th)],[])).
% 24.67/16.00 tff(4843,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(quant_intro,[status(thm)],[4842])).
% 24.67/16.00 tff(4844,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4845,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 24.67/16.00 tff(4846,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 24.67/16.00 tff(4847,plain,(
% 24.67/16.00 ![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(skolemize,[status(sab)],[4846])).
% 24.67/16.00 tff(4848,plain,
% 24.67/16.00 (![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4847, 4843])).
% 24.67/16.00 tff(4849,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB37)) | v84(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB37)) | v84(constB37, bitIndex0))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4850,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB37)) | v84(constB37, bitIndex0))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4851,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB37)) | v84(constB37, bitIndex0)),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4850, 4849])).
% 24.67/16.00 tff(4852,plain,
% 24.67/16.00 (~v145(constB37)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4851, 4848, 4819])).
% 24.67/16.00 tff(4853,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | (~v124(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | (~v124(constB37, bitIndex2)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4854,plain,
% 24.67/16.00 ((v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2))) <=> (v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | (~v124(constB37, bitIndex2)))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4855,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | (~v124(constB37, bitIndex2))))),
% 24.67/16.00 inference(monotonicity,[status(thm)],[4854])).
% 24.67/16.00 tff(4856,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | (~v124(constB37, bitIndex2)))),
% 24.67/16.00 inference(transitivity,[status(thm)],[4855, 4853])).
% 24.67/16.00 tff(4857,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex2)))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4858,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | (~v124(constB37, bitIndex2))),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4857, 4856])).
% 24.67/16.00 tff(4859,plain,
% 24.67/16.00 (v172(constB37) | v113(constB37) | v115(constB37) | (~v124(constB37, bitIndex2))),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4858, 2043, 4852, 4841, 4830])).
% 24.67/16.00 tff(4860,plain,
% 24.67/16.00 (v172(constB37) | v113(constB37) | (~v124(constB37, bitIndex2))),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4859, 4798])).
% 24.67/16.00 tff(4861,plain,
% 24.67/16.00 (~v124(constB37, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4860, 4717, 4713])).
% 24.67/16.00 tff(4862,plain,
% 24.67/16.00 (v121(constB35, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4752, 21])).
% 24.67/16.00 tff(4863,plain,
% 24.67/16.00 (v123(constB36, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4743, 4862])).
% 24.67/16.00 tff(4864,plain,
% 24.67/16.00 (v84(constB36, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4738, 4863])).
% 24.67/16.00 tff(4865,plain,
% 24.67/16.00 (v84(constB37, bitIndex2)),
% 24.67/16.00 inference(unit_resolution,[status(thm)],[4730, 4864])).
% 24.67/16.00 tff(4866,plain,
% 24.67/16.00 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)) | v119(constB37))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)) | v119(constB37))),
% 24.67/16.00 inference(rewrite,[status(thm)],[])).
% 24.67/16.00 tff(4867,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)) | v119(constB37))),
% 24.67/16.00 inference(quant_inst,[status(thm)],[])).
% 24.67/16.00 tff(4868,plain,
% 24.67/16.00 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)) | v119(constB37)),
% 24.67/16.00 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 24.67/16.00 tff(4869,plain,
% 24.67/16.00 ((~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)) | v119(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4868, 1899, 4819])).
% 24.67/16.01 tff(4870,plain,
% 24.67/16.01 (v119(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4869, 4865, 4709])).
% 24.67/16.01 tff(4871,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB37) | (~v119(constB37)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB37) | (~v119(constB37)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4872,plain,
% 24.67/16.01 (((~v119(constB37)) | v107(constB37)) <=> (v107(constB37) | (~v119(constB37)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4873,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB37)) | v107(constB37))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB37) | (~v119(constB37))))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[4872])).
% 24.67/16.01 tff(4874,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB37)) | v107(constB37))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB37) | (~v119(constB37)))),
% 24.67/16.01 inference(transitivity,[status(thm)],[4873, 4871])).
% 24.67/16.01 tff(4875,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB37)) | v107(constB37))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4876,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB37) | (~v119(constB37))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4875, 4874])).
% 24.67/16.01 tff(4877,plain,
% 24.67/16.01 (v107(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4876, 1910, 4870])).
% 24.67/16.01 tff(4878,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | v124(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | v124(constB37, bitIndex0))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4879,plain,
% 24.67/16.01 ((v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0)) <=> (v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | v124(constB37, bitIndex0))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4880,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | v124(constB37, bitIndex0)))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[4879])).
% 24.67/16.01 tff(4881,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | v124(constB37, bitIndex0))),
% 24.67/16.01 inference(transitivity,[status(thm)],[4880, 4878])).
% 24.67/16.01 tff(4882,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v124(constB37, bitIndex0))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4883,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37) | v124(constB37, bitIndex0)),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 24.67/16.01 tff(4884,plain,
% 24.67/16.01 (v172(constB37) | v113(constB37) | v115(constB37) | v124(constB37, bitIndex0)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4883, 2152, 4852, 4841, 4830])).
% 24.67/16.01 tff(4885,plain,
% 24.67/16.01 (v172(constB37) | v113(constB37) | v124(constB37, bitIndex0)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4884, 4798])).
% 24.67/16.01 tff(4886,plain,
% 24.67/16.01 (v124(constB37, bitIndex0)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4885, 4717, 4713])).
% 24.67/16.01 tff(4887,assumption,(v124(constB37, bitIndex1)), introduced(assumption)).
% 24.67/16.01 tff(4888,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB37)) | (~v124(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB37)) | (~v124(constB37, bitIndex1)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4889,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB37)) | (~v124(constB37, bitIndex1)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4890,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB37)) | (~v124(constB37, bitIndex1))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4889, 4888])).
% 24.67/16.01 tff(4891,plain,
% 24.67/16.01 (~v172(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4890, 1595, 4887])).
% 24.67/16.01 tff(4892,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB37)) | (~v124(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB37)) | (~v124(constB37, bitIndex1)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4893,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB37)) | (~v124(constB37, bitIndex1)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4894,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB37)) | (~v124(constB37, bitIndex1))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 24.67/16.01 tff(4895,plain,
% 24.67/16.01 (~v113(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4894, 462, 4887])).
% 24.67/16.01 tff(4896,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB37) | (~v124(constB37, bitIndex1)) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB37) | (~v124(constB37, bitIndex1)) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4897,plain,
% 24.67/16.01 ((v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex1))) <=> (v145(constB37) | (~v124(constB37, bitIndex1)) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4898,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB37) | (~v124(constB37, bitIndex1)) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37)))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[4897])).
% 24.67/16.01 tff(4899,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB37) | (~v124(constB37, bitIndex1)) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37))),
% 24.67/16.01 inference(transitivity,[status(thm)],[4898, 4896])).
% 24.67/16.01 tff(4900,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB37) | v145(constB37) | v115(constB37) | v116(constB37) | v172(constB37) | v118(constB37) | (~v124(constB37, bitIndex1)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4901,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB37) | (~v124(constB37, bitIndex1)) | v116(constB37) | v172(constB37) | v118(constB37) | v113(constB37) | v115(constB37)),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4900, 4899])).
% 24.67/16.01 tff(4902,plain,
% 24.67/16.01 ((~v124(constB37, bitIndex1)) | v172(constB37) | v113(constB37) | v115(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4901, 2105, 4852, 4841, 4830])).
% 24.67/16.01 tff(4903,plain,
% 24.67/16.01 ($false),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4902, 4895, 4891, 4798, 4887])).
% 24.67/16.01 tff(4904,plain,(~v124(constB37, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.67/16.01 tff(4905,assumption,(v26(constB37)), introduced(assumption)).
% 24.67/16.01 tff(4906,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB37))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4907,plain,
% 24.67/16.01 ($false),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4906, 18, 4905])).
% 24.67/16.01 tff(4908,plain,(~v26(constB37)), inference(lemma,lemma(discharge,[]))).
% 24.67/16.01 tff(4909,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4910,plain,
% 24.67/16.01 ((v26(constB37) | v124(constB37, bitIndex1) | (~v121(constB37, bitIndex1))) <=> ((~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4911,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB37) | v124(constB37, bitIndex1) | (~v121(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1)))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[4910])).
% 24.67/16.01 tff(4912,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB37) | v124(constB37, bitIndex1) | (~v121(constB37, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1))),
% 24.67/16.01 inference(transitivity,[status(thm)],[4911, 4909])).
% 24.67/16.01 tff(4913,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB37) | v124(constB37, bitIndex1) | (~v121(constB37, bitIndex1)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4914,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB37, bitIndex1)) | v26(constB37) | v124(constB37, bitIndex1)),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 24.67/16.01 tff(4915,plain,
% 24.67/16.01 ((~v121(constB37, bitIndex1)) | v124(constB37, bitIndex1)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4914, 476, 4908])).
% 24.67/16.01 tff(4916,plain,
% 24.67/16.01 (~v121(constB37, bitIndex1)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4915, 4904])).
% 24.67/16.01 tff(4917,plain,
% 24.67/16.01 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4918,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_37_1')).
% 24.67/16.01 tff(4919,plain,
% 24.67/16.01 (nextState(constB37, constB38)),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 24.67/16.01 tff(4920,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4921,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4922,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 24.67/16.01 tff(4923,plain,
% 24.67/16.01 (v121(constB37, bitIndex1) | (~v123(constB38, bitIndex1))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4922, 494, 4919])).
% 24.67/16.01 tff(4924,plain,
% 24.67/16.01 (~v123(constB38, bitIndex1)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4923, 4916])).
% 24.67/16.01 tff(4925,assumption,(~v26(constB37)), introduced(assumption)).
% 24.67/16.01 tff(4926,assumption,(v107(constB37)), introduced(assumption)).
% 24.67/16.01 tff(4927,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | v106(constB37) | (~v107(constB37)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4928,plain,
% 24.67/16.01 ((v26(constB37) | (~v107(constB37)) | v106(constB37)) <=> (v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4929,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | v106(constB37) | (~v107(constB37))))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[4928])).
% 24.67/16.01 tff(4930,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37)))),
% 24.67/16.01 inference(transitivity,[status(thm)],[4929, 4927])).
% 24.67/16.01 tff(4931,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB37) | (~v107(constB37)) | v106(constB37))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4932,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB37) | v106(constB37) | (~v107(constB37))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4931, 4930])).
% 24.67/16.01 tff(4933,plain,
% 24.67/16.01 (v26(constB37) | v106(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4932, 263, 4926])).
% 24.67/16.01 tff(4934,plain,
% 24.67/16.01 (v106(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4933, 4925])).
% 24.67/16.01 tff(4935,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB37) | (~v106(constB37)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB37) | (~v106(constB37)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4936,plain,
% 24.67/16.01 (((~v106(constB37)) | v102(constB37)) <=> (v102(constB37) | (~v106(constB37)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4937,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB37)) | v102(constB37))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB37) | (~v106(constB37))))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[4936])).
% 24.67/16.01 tff(4938,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB37)) | v102(constB37))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB37) | (~v106(constB37)))),
% 24.67/16.01 inference(transitivity,[status(thm)],[4937, 4935])).
% 24.67/16.01 tff(4939,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB37)) | v102(constB37))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4940,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB37) | (~v106(constB37))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 24.67/16.01 tff(4941,plain,
% 24.67/16.01 (v102(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4940, 275, 4934])).
% 24.67/16.01 tff(4942,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4943,plain,
% 24.67/16.01 (((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38)) <=> ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4944,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37))))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[4943])).
% 24.67/16.01 tff(4945,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37)))),
% 24.67/16.01 inference(transitivity,[status(thm)],[4944, 4942])).
% 24.67/16.01 tff(4946,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB37, constB38)) | (~v102(constB37)) | v104(constB38))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4947,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB37, constB38)) | v104(constB38) | (~v102(constB37))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 24.67/16.01 tff(4948,plain,
% 24.67/16.01 (v104(constB38) | (~v102(constB37))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4947, 295, 4919])).
% 24.67/16.01 tff(4949,plain,
% 24.67/16.01 (v104(constB38)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4948, 4941])).
% 24.67/16.01 tff(4950,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4951,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4952,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB37) | (~nextState(constB37, constB38)) | (~v98(constB38))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4951, 4950])).
% 24.67/16.01 tff(4953,plain,
% 24.67/16.01 (~v98(constB38)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4952, 313, 4919, 4685])).
% 24.67/16.01 tff(4954,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4955,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB37, constB38)) | v96(constB38) | v98(constB38))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4956,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB37, constB38)) | v96(constB38) | v98(constB38)),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4955, 4954])).
% 24.67/16.01 tff(4957,plain,
% 24.67/16.01 (v96(constB38) | v98(constB38)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4956, 327, 4919])).
% 24.67/16.01 tff(4958,plain,
% 24.67/16.01 (v96(constB38)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4957, 4953])).
% 24.67/16.01 tff(4959,plain,
% 24.67/16.01 (v1(constB38) <=> v1(constB38)),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4960,axiom,(v1(constB38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_38_1')).
% 24.67/16.01 tff(4961,plain,
% 24.67/16.01 (v1(constB38)),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4960, 4959])).
% 24.67/16.01 tff(4962,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4963,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4964,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB37, constB38)) | v95(constB38) | (~v96(constB38)) | (~v1(constB38))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4963, 4962])).
% 24.67/16.01 tff(4965,plain,
% 24.67/16.01 (v95(constB38) | (~v96(constB38))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4964, 345, 4919, 4961])).
% 24.67/16.01 tff(4966,plain,
% 24.67/16.01 (v95(constB38)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4965, 4958])).
% 24.67/16.01 tff(4967,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4968,plain,
% 24.67/16.01 (((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38)) <=> ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4969,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38))))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[4968])).
% 24.67/16.01 tff(4970,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38)))),
% 24.67/16.01 inference(transitivity,[status(thm)],[4969, 4967])).
% 24.67/16.01 tff(4971,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB37, constB38)) | (~v95(constB38)) | (~v104(constB38)) | v94(constB38))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4972,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB37, constB38)) | v94(constB38) | (~v95(constB38)) | (~v104(constB38))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 24.67/16.01 tff(4973,plain,
% 24.67/16.01 (v94(constB38) | (~v95(constB38)) | (~v104(constB38))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4972, 360, 4919])).
% 24.67/16.01 tff(4974,plain,
% 24.67/16.01 (v94(constB38) | (~v104(constB38))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4973, 4966])).
% 24.67/16.01 tff(4975,plain,
% 24.67/16.01 (v94(constB38)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4974, 4949])).
% 24.67/16.01 tff(4976,assumption,(~v124(constB37, bitIndex2)), introduced(assumption)).
% 24.67/16.01 tff(4977,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4978,plain,
% 24.67/16.01 ((v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2))) <=> ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4979,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2)))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[4978])).
% 24.67/16.01 tff(4980,plain,
% 24.67/16.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2))),
% 24.67/16.01 inference(transitivity,[status(thm)],[4979, 4977])).
% 24.67/16.01 tff(4981,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB37) | v124(constB37, bitIndex2) | (~v121(constB37, bitIndex2)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4982,plain,
% 24.67/16.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB37, bitIndex2)) | v26(constB37) | v124(constB37, bitIndex2)),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 24.67/16.01 tff(4983,plain,
% 24.67/16.01 ((~v121(constB37, bitIndex2)) | v26(constB37)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4982, 390, 4976])).
% 24.67/16.01 tff(4984,plain,
% 24.67/16.01 (~v121(constB37, bitIndex2)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4983, 4925])).
% 24.67/16.01 tff(4985,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4986,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4987,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB37, constB38)) | v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4986, 4985])).
% 24.67/16.01 tff(4988,plain,
% 24.67/16.01 (v121(constB37, bitIndex2) | (~v123(constB38, bitIndex2))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4987, 408, 4919])).
% 24.67/16.01 tff(4989,plain,
% 24.67/16.01 (~v123(constB38, bitIndex2)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4988, 4984])).
% 24.67/16.01 tff(4990,plain,
% 24.67/16.01 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4991,plain,
% 24.67/16.01 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(4992,plain,
% 24.67/16.01 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2) | (~v94(constB38))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4991, 4990])).
% 24.67/16.01 tff(4993,plain,
% 24.67/16.01 ((~v84(constB38, bitIndex2)) | (~v94(constB38))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4992, 423, 4989])).
% 24.67/16.01 tff(4994,plain,
% 24.67/16.01 (~v84(constB38, bitIndex2)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[4993, 4975])).
% 24.67/16.01 tff(4995,plain,
% 24.67/16.01 ((~v1(constB39)) <=> (~v1(constB39))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4996,axiom,(~v1(constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_39_1_1')).
% 24.67/16.01 tff(4997,plain,
% 24.67/16.01 (~v1(constB39)),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4996, 4995])).
% 24.67/16.01 tff(4998,plain,
% 24.67/16.01 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(4999,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_38_1')).
% 24.67/16.01 tff(5000,plain,
% 24.67/16.01 (nextState(constB38, constB39)),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 24.67/16.01 tff(5001,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(5002,plain,
% 24.67/16.01 (((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39)) <=> (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(5003,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39))))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[5002])).
% 24.67/16.01 tff(5004,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39)))),
% 24.67/16.01 inference(transitivity,[status(thm)],[5003, 5001])).
% 24.67/16.01 tff(5005,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB38, constB39)) | (~v95(constB39)) | v1(constB39))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(5006,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB39) | (~nextState(constB38, constB39)) | (~v95(constB39))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[5005, 5004])).
% 24.67/16.01 tff(5007,plain,
% 24.67/16.01 (~v95(constB39)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[5006, 73, 5000, 4997])).
% 24.67/16.01 tff(5008,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(5009,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(5010,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB38, constB39)) | v95(constB39) | (~v94(constB39))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[5009, 5008])).
% 24.67/16.01 tff(5011,plain,
% 24.67/16.01 (v95(constB39) | (~v94(constB39))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[5010, 90, 5000])).
% 24.67/16.01 tff(5012,plain,
% 24.67/16.01 (~v94(constB39)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[5011, 5007])).
% 24.67/16.01 tff(5013,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(5014,plain,
% 24.67/16.01 (((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2))) <=> (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(5015,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2))))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[5014])).
% 24.67/16.01 tff(5016,plain,
% 24.67/16.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 24.67/16.01 inference(transitivity,[status(thm)],[5015, 5013])).
% 24.67/16.01 tff(5017,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2)))),
% 24.67/16.01 inference(quant_inst,[status(thm)],[])).
% 24.67/16.01 tff(5018,plain,
% 24.67/16.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB38, bitIndex2) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex2))),
% 24.67/16.01 inference(modus_ponens,[status(thm)],[5017, 5016])).
% 24.67/16.01 tff(5019,plain,
% 24.67/16.01 (v84(constB38, bitIndex2) | v94(constB39) | (~v84(constB39, bitIndex2))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[5018, 105, 5000])).
% 24.67/16.01 tff(5020,plain,
% 24.67/16.01 (v84(constB38, bitIndex2) | (~v84(constB39, bitIndex2))),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[5019, 5012])).
% 24.67/16.01 tff(5021,plain,
% 24.67/16.01 (~v84(constB39, bitIndex2)),
% 24.67/16.01 inference(unit_resolution,[status(thm)],[5020, 4994])).
% 24.67/16.01 tff(5022,assumption,(~v123(constB38, bitIndex1)), introduced(assumption)).
% 24.67/16.01 tff(5023,plain,
% 24.67/16.01 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(5024,plain,
% 24.67/16.01 (((~v84(constB38, bitIndex1)) | (~v94(constB38)) | v123(constB38, bitIndex1)) <=> ((~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38)))),
% 24.67/16.01 inference(rewrite,[status(thm)],[])).
% 24.67/16.01 tff(5025,plain,
% 24.67/16.01 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~v94(constB38)) | v123(constB38, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38))))),
% 24.67/16.01 inference(monotonicity,[status(thm)],[5024])).
% 24.67/16.01 tff(5026,plain,
% 24.67/16.01 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~v94(constB38)) | v123(constB38, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38)))),
% 24.67/16.01 inference(transitivity,[status(thm)],[5025, 5023])).
% 24.67/16.01 tff(5027,plain,
% 24.67/16.01 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB38, bitIndex1)) | (~v94(constB38)) | v123(constB38, bitIndex1))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5028,plain,
% 24.67/16.02 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1) | (~v94(constB38))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5027, 5026])).
% 24.67/16.02 tff(5029,plain,
% 24.67/16.02 ((~v84(constB38, bitIndex1)) | (~v94(constB38))),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5028, 509, 5022])).
% 24.67/16.02 tff(5030,plain,
% 24.67/16.02 (~v84(constB38, bitIndex1)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5029, 4975])).
% 24.67/16.02 tff(5031,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5032,plain,
% 24.67/16.02 (((~nextState(constB38, constB39)) | v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1))) <=> (v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5033,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1))))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5032])).
% 24.67/16.02 tff(5034,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1)))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5033, 5031])).
% 24.67/16.02 tff(5035,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB38, constB39)) | v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1)))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5036,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB38, bitIndex1) | (~nextState(constB38, constB39)) | v94(constB39) | (~v84(constB39, bitIndex1))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5035, 5034])).
% 24.67/16.02 tff(5037,plain,
% 24.67/16.02 (v84(constB38, bitIndex1) | v94(constB39) | (~v84(constB39, bitIndex1))),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5036, 126, 5000])).
% 24.67/16.02 tff(5038,plain,
% 24.67/16.02 (v84(constB38, bitIndex1) | (~v84(constB39, bitIndex1))),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5037, 5012])).
% 24.67/16.02 tff(5039,plain,
% 24.67/16.02 (~v84(constB39, bitIndex1)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5038, 5030])).
% 24.67/16.02 tff(5040,assumption,(v124(constB37, bitIndex0)), introduced(assumption)).
% 24.67/16.02 tff(5041,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB37) | (~v124(constB37, bitIndex0)) | v121(constB37, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB37) | (~v124(constB37, bitIndex0)) | v121(constB37, bitIndex0))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5042,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB37) | (~v124(constB37, bitIndex0)) | v121(constB37, bitIndex0))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5043,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB37) | (~v124(constB37, bitIndex0)) | v121(constB37, bitIndex0)),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5042, 5041])).
% 24.67/16.02 tff(5044,plain,
% 24.67/16.02 (v26(constB37) | v121(constB37, bitIndex0)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5043, 547, 5040])).
% 24.67/16.02 tff(5045,plain,
% 24.67/16.02 (v121(constB37, bitIndex0)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5044, 4925])).
% 24.67/16.02 tff(5046,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5047,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB37, constB38)) | (~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5048,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB37, constB38)) | (~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0)),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 24.67/16.02 tff(5049,plain,
% 24.67/16.02 ((~v121(constB37, bitIndex0)) | v123(constB38, bitIndex0)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5048, 562, 4919])).
% 24.67/16.02 tff(5050,plain,
% 24.67/16.02 (v123(constB38, bitIndex0)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5049, 5045])).
% 24.67/16.02 tff(5051,plain,
% 24.67/16.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5052,plain,
% 24.67/16.02 ((v84(constB38, bitIndex0) | (~v94(constB38)) | (~v123(constB38, bitIndex0))) <=> (v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5053,plain,
% 24.67/16.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v94(constB38)) | (~v123(constB38, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38))))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5052])).
% 24.67/16.02 tff(5054,plain,
% 24.67/16.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v94(constB38)) | (~v123(constB38, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38)))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5053, 5051])).
% 24.67/16.02 tff(5055,plain,
% 24.67/16.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB38, bitIndex0) | (~v94(constB38)) | (~v123(constB38, bitIndex0)))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5056,plain,
% 24.67/16.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0)) | (~v94(constB38))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5055, 5054])).
% 24.67/16.02 tff(5057,plain,
% 24.67/16.02 (v84(constB38, bitIndex0) | (~v94(constB38))),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5056, 577, 5050])).
% 24.67/16.02 tff(5058,plain,
% 24.67/16.02 (v84(constB38, bitIndex0)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5057, 4975])).
% 24.67/16.02 tff(5059,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5060,plain,
% 24.67/16.02 (((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0)) <=> ((~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5061,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0)))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5060])).
% 24.67/16.02 tff(5062,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5061, 5059])).
% 24.67/16.02 tff(5063,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB38, constB39)) | (~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5064,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB38, bitIndex0)) | (~nextState(constB38, constB39)) | v94(constB39) | v84(constB39, bitIndex0)),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5063, 5062])).
% 24.67/16.02 tff(5065,plain,
% 24.67/16.02 ((~v84(constB38, bitIndex0)) | v94(constB39) | v84(constB39, bitIndex0)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5064, 595, 5000])).
% 24.67/16.02 tff(5066,plain,
% 24.67/16.02 ((~v84(constB38, bitIndex0)) | v84(constB39, bitIndex0)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5065, 5012])).
% 24.67/16.02 tff(5067,plain,
% 24.67/16.02 (v84(constB39, bitIndex0)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5066, 5058])).
% 24.67/16.02 tff(5068,assumption,(~v145(constB39)), introduced(assumption)).
% 24.67/16.02 tff(5069,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB39, bitIndex0)) | v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | v145(constB39))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB39, bitIndex0)) | v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | v145(constB39))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5070,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB39, bitIndex0)) | v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | v145(constB39))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5071,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB39, bitIndex0)) | v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | v145(constB39)),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 24.67/16.02 tff(5072,plain,
% 24.67/16.02 ((~v84(constB39, bitIndex0)) | v84(constB39, bitIndex1) | v84(constB39, bitIndex2)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5071, 614, 5068])).
% 24.67/16.02 tff(5073,plain,
% 24.67/16.02 ($false),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5072, 5067, 5039, 5021])).
% 24.67/16.02 tff(5074,plain,(v26(constB37) | v145(constB39) | v123(constB38, bitIndex1) | v124(constB37, bitIndex2) | (~v124(constB37, bitIndex0)) | (~v107(constB37))), inference(lemma,lemma(discharge,[]))).
% 24.67/16.02 tff(5075,plain,
% 24.67/16.02 (v145(constB39) | v123(constB38, bitIndex1) | v124(constB37, bitIndex2) | (~v124(constB37, bitIndex0)) | (~v107(constB37))),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5074, 4908])).
% 24.67/16.02 tff(5076,plain,
% 24.67/16.02 (v145(constB39) | v124(constB37, bitIndex2) | (~v124(constB37, bitIndex0)) | (~v107(constB37))),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5075, 4924])).
% 24.67/16.02 tff(5077,plain,
% 24.67/16.02 (v145(constB39)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5076, 4886, 4877, 4861])).
% 24.67/16.02 tff(5078,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB39) | (~v145(constB39)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB39) | (~v145(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5079,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB39) | (~v145(constB39)))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5080,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB39) | (~v145(constB39))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 24.67/16.02 tff(5081,plain,
% 24.67/16.02 (v112(constB39)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5080, 677, 5077])).
% 24.67/16.02 tff(5082,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB39) | (~v112(constB39)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB39) | (~v112(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5083,plain,
% 24.67/16.02 (((~v112(constB39)) | v111(constB39)) <=> (v111(constB39) | (~v112(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5084,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB39)) | v111(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB39) | (~v112(constB39))))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5083])).
% 24.67/16.02 tff(5085,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB39)) | v111(constB39))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB39) | (~v112(constB39)))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5084, 5082])).
% 24.67/16.02 tff(5086,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB39)) | v111(constB39))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5087,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB39) | (~v112(constB39))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 24.67/16.02 tff(5088,plain,
% 24.67/16.02 (v111(constB39)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5087, 193, 5081])).
% 24.67/16.02 tff(5089,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB39) | (~v111(constB39)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB39) | (~v111(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5090,plain,
% 24.67/16.02 (((~v111(constB39)) | v110(constB39)) <=> (v110(constB39) | (~v111(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5091,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB39)) | v110(constB39))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB39) | (~v111(constB39))))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5090])).
% 24.67/16.02 tff(5092,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB39)) | v110(constB39))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB39) | (~v111(constB39)))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5091, 5089])).
% 24.67/16.02 tff(5093,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB39)) | v110(constB39))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5094,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB39) | (~v111(constB39))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 24.67/16.02 tff(5095,plain,
% 24.67/16.02 (v110(constB39)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5094, 207, 5088])).
% 24.67/16.02 tff(5096,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB39) | (~v110(constB39)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB39) | (~v110(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5097,plain,
% 24.67/16.02 (((~v110(constB39)) | v109(constB39)) <=> (v109(constB39) | (~v110(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5098,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB39)) | v109(constB39))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB39) | (~v110(constB39))))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5097])).
% 24.67/16.02 tff(5099,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB39)) | v109(constB39))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB39) | (~v110(constB39)))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5098, 5096])).
% 24.67/16.02 tff(5100,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB39)) | v109(constB39))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5101,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB39) | (~v110(constB39))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 24.67/16.02 tff(5102,plain,
% 24.67/16.02 (v109(constB39)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5101, 221, 5095])).
% 24.67/16.02 tff(5103,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB39)) | v108(constB39))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB39)) | v108(constB39))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5104,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB39)) | v108(constB39))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5105,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB39)) | v108(constB39)),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 24.67/16.02 tff(5106,plain,
% 24.67/16.02 (v108(constB39)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5105, 235, 5102])).
% 24.67/16.02 tff(5107,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB39) | (~v108(constB39)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB39) | (~v108(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5108,plain,
% 24.67/16.02 (((~v108(constB39)) | v107(constB39)) <=> (v107(constB39) | (~v108(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5109,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB39)) | v107(constB39))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB39) | (~v108(constB39))))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5108])).
% 24.67/16.02 tff(5110,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB39)) | v107(constB39))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB39) | (~v108(constB39)))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5109, 5107])).
% 24.67/16.02 tff(5111,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB39)) | v107(constB39))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5112,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB39) | (~v108(constB39))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 24.67/16.02 tff(5113,plain,
% 24.67/16.02 (v107(constB39)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5112, 249, 5106])).
% 24.67/16.02 tff(5114,assumption,(v26(constB39)), introduced(assumption)).
% 24.67/16.02 tff(5115,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB39))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5116,plain,
% 24.67/16.02 ($false),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5115, 18, 5114])).
% 24.67/16.02 tff(5117,plain,(~v26(constB39)), inference(lemma,lemma(discharge,[]))).
% 24.67/16.02 tff(5118,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | v106(constB39) | (~v107(constB39)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | v106(constB39) | (~v107(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5119,plain,
% 24.67/16.02 ((v26(constB39) | (~v107(constB39)) | v106(constB39)) <=> (v26(constB39) | v106(constB39) | (~v107(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5120,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | v106(constB39) | (~v107(constB39))))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5119])).
% 24.67/16.02 tff(5121,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | v106(constB39) | (~v107(constB39)))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5120, 5118])).
% 24.67/16.02 tff(5122,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB39) | (~v107(constB39)) | v106(constB39))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5123,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB39) | v106(constB39) | (~v107(constB39))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5122, 5121])).
% 24.67/16.02 tff(5124,plain,
% 24.67/16.02 (v106(constB39) | (~v107(constB39))),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5123, 263, 5117])).
% 24.67/16.02 tff(5125,plain,
% 24.67/16.02 (v106(constB39)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5124, 5113])).
% 24.67/16.02 tff(5126,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB39) | (~v106(constB39)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB39) | (~v106(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5127,plain,
% 24.67/16.02 (((~v106(constB39)) | v102(constB39)) <=> (v102(constB39) | (~v106(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5128,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB39)) | v102(constB39))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB39) | (~v106(constB39))))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5127])).
% 24.67/16.02 tff(5129,plain,
% 24.67/16.02 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB39)) | v102(constB39))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB39) | (~v106(constB39)))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5128, 5126])).
% 24.67/16.02 tff(5130,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB39)) | v102(constB39))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5131,plain,
% 24.67/16.02 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB39) | (~v106(constB39))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5130, 5129])).
% 24.67/16.02 tff(5132,plain,
% 24.67/16.02 (v102(constB39)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5131, 275, 5125])).
% 24.67/16.02 tff(5133,plain,
% 24.67/16.02 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5134,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_39_1')).
% 24.67/16.02 tff(5135,plain,
% 24.67/16.02 (nextState(constB39, constB40)),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5134, 5133])).
% 24.67/16.02 tff(5136,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5137,plain,
% 24.67/16.02 (((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40)) <=> ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5138,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39))))),
% 24.67/16.02 inference(monotonicity,[status(thm)],[5137])).
% 24.67/16.02 tff(5139,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39)))),
% 24.67/16.02 inference(transitivity,[status(thm)],[5138, 5136])).
% 24.67/16.02 tff(5140,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB39, constB40)) | (~v102(constB39)) | v104(constB40))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5141,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB39, constB40)) | v104(constB40) | (~v102(constB39))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 24.67/16.02 tff(5142,plain,
% 24.67/16.02 (v104(constB40) | (~v102(constB39))),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5141, 295, 5135])).
% 24.67/16.02 tff(5143,plain,
% 24.67/16.02 (v104(constB40)),
% 24.67/16.02 inference(unit_resolution,[status(thm)],[5142, 5132])).
% 24.67/16.02 tff(5144,plain,
% 24.67/16.02 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))),
% 24.67/16.02 inference(rewrite,[status(thm)],[])).
% 24.67/16.02 tff(5145,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40)))),
% 24.67/16.02 inference(quant_inst,[status(thm)],[])).
% 24.67/16.02 tff(5146,plain,
% 24.67/16.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB39) | (~nextState(constB39, constB40)) | (~v98(constB40))),
% 24.67/16.02 inference(modus_ponens,[status(thm)],[5145, 5144])).
% 24.67/16.02 tff(5147,plain,
% 24.67/16.02 (~v98(constB40)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5146, 313, 5135, 4997])).
% 24.71/16.02 tff(5148,plain,
% 24.71/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5149,plain,
% 24.71/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB39, constB40)) | v96(constB40) | v98(constB40))),
% 24.71/16.02 inference(quant_inst,[status(thm)],[])).
% 24.71/16.02 tff(5150,plain,
% 24.71/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB39, constB40)) | v96(constB40) | v98(constB40)),
% 24.71/16.02 inference(modus_ponens,[status(thm)],[5149, 5148])).
% 24.71/16.02 tff(5151,plain,
% 24.71/16.02 (v96(constB40) | v98(constB40)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5150, 327, 5135])).
% 24.71/16.02 tff(5152,plain,
% 24.71/16.02 (v96(constB40)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5151, 5147])).
% 24.71/16.02 tff(5153,plain,
% 24.71/16.02 (v1(constB40) <=> v1(constB40)),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5154,axiom,(v1(constB40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_40_1')).
% 24.71/16.02 tff(5155,plain,
% 24.71/16.02 (v1(constB40)),
% 24.71/16.02 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 24.71/16.02 tff(5156,plain,
% 24.71/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5157,plain,
% 24.71/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40)))),
% 24.71/16.02 inference(quant_inst,[status(thm)],[])).
% 24.71/16.02 tff(5158,plain,
% 24.71/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB39, constB40)) | v95(constB40) | (~v96(constB40)) | (~v1(constB40))),
% 24.71/16.02 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 24.71/16.02 tff(5159,plain,
% 24.71/16.02 (v95(constB40) | (~v96(constB40))),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5158, 345, 5135, 5155])).
% 24.71/16.02 tff(5160,plain,
% 24.71/16.02 (v95(constB40)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5159, 5152])).
% 24.71/16.02 tff(5161,plain,
% 24.71/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5162,plain,
% 24.71/16.02 (((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40)) <=> ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5163,plain,
% 24.71/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40))))),
% 24.71/16.02 inference(monotonicity,[status(thm)],[5162])).
% 24.71/16.02 tff(5164,plain,
% 24.71/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40)))),
% 24.71/16.02 inference(transitivity,[status(thm)],[5163, 5161])).
% 24.71/16.02 tff(5165,plain,
% 24.71/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB39, constB40)) | (~v95(constB40)) | (~v104(constB40)) | v94(constB40))),
% 24.71/16.02 inference(quant_inst,[status(thm)],[])).
% 24.71/16.02 tff(5166,plain,
% 24.71/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB39, constB40)) | v94(constB40) | (~v95(constB40)) | (~v104(constB40))),
% 24.71/16.02 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 24.71/16.02 tff(5167,plain,
% 24.71/16.02 (v94(constB40) | (~v95(constB40)) | (~v104(constB40))),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5166, 360, 5135])).
% 24.71/16.02 tff(5168,plain,
% 24.71/16.02 (v94(constB40) | (~v104(constB40))),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5167, 5160])).
% 24.71/16.02 tff(5169,plain,
% 24.71/16.02 (v94(constB40)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5168, 5143])).
% 24.71/16.02 tff(5170,plain,
% 24.71/16.02 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB39)) | (~v124(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB39)) | (~v124(constB39, bitIndex2)))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5171,plain,
% 24.71/16.02 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB39)) | (~v124(constB39, bitIndex2)))),
% 24.71/16.02 inference(quant_inst,[status(thm)],[])).
% 24.71/16.02 tff(5172,plain,
% 24.71/16.02 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB39)) | (~v124(constB39, bitIndex2))),
% 24.71/16.02 inference(modus_ponens,[status(thm)],[5171, 5170])).
% 24.71/16.02 tff(5173,plain,
% 24.71/16.02 (~v124(constB39, bitIndex2)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5172, 625, 5077])).
% 24.71/16.02 tff(5174,assumption,(v121(constB39, bitIndex2)), introduced(assumption)).
% 24.71/16.02 tff(5175,assumption,(~v124(constB39, bitIndex2)), introduced(assumption)).
% 24.71/16.02 tff(5176,plain,
% 24.71/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5177,plain,
% 24.71/16.02 ((v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2))) <=> ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5178,plain,
% 24.71/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2)))),
% 24.71/16.02 inference(monotonicity,[status(thm)],[5177])).
% 24.71/16.02 tff(5179,plain,
% 24.71/16.02 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2))),
% 24.71/16.02 inference(transitivity,[status(thm)],[5178, 5176])).
% 24.71/16.02 tff(5180,plain,
% 24.71/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB39) | v124(constB39, bitIndex2) | (~v121(constB39, bitIndex2)))),
% 24.71/16.02 inference(quant_inst,[status(thm)],[])).
% 24.71/16.02 tff(5181,plain,
% 24.71/16.02 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB39, bitIndex2)) | v26(constB39) | v124(constB39, bitIndex2)),
% 24.71/16.02 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 24.71/16.02 tff(5182,plain,
% 24.71/16.02 ((~v121(constB39, bitIndex2)) | v26(constB39)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5181, 390, 5175])).
% 24.71/16.02 tff(5183,plain,
% 24.71/16.02 (v26(constB39)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5182, 5174])).
% 24.71/16.02 tff(5184,plain,
% 24.71/16.02 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB39)) | (~v121(constB39, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB39)) | (~v121(constB39, bitIndex2)))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5185,plain,
% 24.71/16.02 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB39)) | (~v121(constB39, bitIndex2)))),
% 24.71/16.02 inference(quant_inst,[status(thm)],[])).
% 24.71/16.02 tff(5186,plain,
% 24.71/16.02 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB39)) | (~v121(constB39, bitIndex2))),
% 24.71/16.02 inference(modus_ponens,[status(thm)],[5185, 5184])).
% 24.71/16.02 tff(5187,plain,
% 24.71/16.02 ($false),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5186, 2292, 5174, 5183])).
% 24.71/16.02 tff(5188,plain,((~v121(constB39, bitIndex2)) | v124(constB39, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.71/16.02 tff(5189,plain,
% 24.71/16.02 (~v121(constB39, bitIndex2)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5188, 5173])).
% 24.71/16.02 tff(5190,plain,
% 24.71/16.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5191,plain,
% 24.71/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2)))),
% 24.71/16.02 inference(quant_inst,[status(thm)],[])).
% 24.71/16.02 tff(5192,plain,
% 24.71/16.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2))),
% 24.71/16.02 inference(modus_ponens,[status(thm)],[5191, 5190])).
% 24.71/16.02 tff(5193,plain,
% 24.71/16.02 (v121(constB39, bitIndex2) | (~v123(constB40, bitIndex2))),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5192, 408, 5135])).
% 24.71/16.02 tff(5194,plain,
% 24.71/16.02 (~v123(constB40, bitIndex2)),
% 24.71/16.02 inference(unit_resolution,[status(thm)],[5193, 5189])).
% 24.71/16.02 tff(5195,plain,
% 24.71/16.02 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 24.71/16.02 inference(rewrite,[status(thm)],[])).
% 24.71/16.02 tff(5196,plain,
% 24.71/16.02 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40)))),
% 24.71/16.02 inference(quant_inst,[status(thm)],[])).
% 24.71/16.02 tff(5197,plain,
% 24.71/16.02 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2) | (~v94(constB40))),
% 24.71/16.02 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 24.71/16.03 tff(5198,plain,
% 24.71/16.03 ((~v84(constB40, bitIndex2)) | (~v94(constB40))),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5197, 423, 5194])).
% 24.71/16.03 tff(5199,plain,
% 24.71/16.03 (~v84(constB40, bitIndex2)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5198, 5169])).
% 24.71/16.03 tff(5200,plain,
% 24.71/16.03 ((~v1(constB41)) <=> (~v1(constB41))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5201,axiom,(~v1(constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_41_1_1')).
% 24.71/16.03 tff(5202,plain,
% 24.71/16.03 (~v1(constB41)),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5201, 5200])).
% 24.71/16.03 tff(5203,plain,
% 24.71/16.03 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5204,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_40_1')).
% 24.71/16.03 tff(5205,plain,
% 24.71/16.03 (nextState(constB40, constB41)),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5204, 5203])).
% 24.71/16.03 tff(5206,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5207,plain,
% 24.71/16.03 (((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41)) <=> (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5208,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41))))),
% 24.71/16.03 inference(monotonicity,[status(thm)],[5207])).
% 24.71/16.03 tff(5209,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41)))),
% 24.71/16.03 inference(transitivity,[status(thm)],[5208, 5206])).
% 24.71/16.03 tff(5210,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB40, constB41)) | (~v95(constB41)) | v1(constB41))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5211,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB41) | (~nextState(constB40, constB41)) | (~v95(constB41))),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5210, 5209])).
% 24.71/16.03 tff(5212,plain,
% 24.71/16.03 (~v95(constB41)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5211, 73, 5205, 5202])).
% 24.71/16.03 tff(5213,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5214,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41)))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5215,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB40, constB41)) | v95(constB41) | (~v94(constB41))),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5214, 5213])).
% 24.71/16.03 tff(5216,plain,
% 24.71/16.03 (v95(constB41) | (~v94(constB41))),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5215, 90, 5205])).
% 24.71/16.03 tff(5217,plain,
% 24.71/16.03 (~v94(constB41)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5216, 5212])).
% 24.71/16.03 tff(5218,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5219,plain,
% 24.71/16.03 (((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2))) <=> (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5220,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2))))),
% 24.71/16.03 inference(monotonicity,[status(thm)],[5219])).
% 24.71/16.03 tff(5221,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 24.71/16.03 inference(transitivity,[status(thm)],[5220, 5218])).
% 24.71/16.03 tff(5222,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2)))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5223,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB40, bitIndex2) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex2))),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5222, 5221])).
% 24.71/16.03 tff(5224,plain,
% 24.71/16.03 (v84(constB40, bitIndex2) | v94(constB41) | (~v84(constB41, bitIndex2))),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5223, 105, 5205])).
% 24.71/16.03 tff(5225,plain,
% 24.71/16.03 (v84(constB40, bitIndex2) | (~v84(constB41, bitIndex2))),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5224, 5217])).
% 24.71/16.03 tff(5226,plain,
% 24.71/16.03 (~v84(constB41, bitIndex2)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5225, 5199])).
% 24.71/16.03 tff(5227,plain,
% 24.71/16.03 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB39)) | v124(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB39)) | v124(constB39, bitIndex1))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5228,plain,
% 24.71/16.03 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB39)) | v124(constB39, bitIndex1))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5229,plain,
% 24.71/16.03 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB39)) | v124(constB39, bitIndex1)),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5228, 5227])).
% 24.71/16.03 tff(5230,plain,
% 24.71/16.03 (v124(constB39, bitIndex1)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5229, 798, 5077])).
% 24.71/16.03 tff(5231,plain,
% 24.71/16.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5232,plain,
% 24.71/16.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5233,plain,
% 24.71/16.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB39) | (~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1)),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 24.71/16.03 tff(5234,plain,
% 24.71/16.03 ((~v124(constB39, bitIndex1)) | v121(constB39, bitIndex1)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5233, 812, 5117])).
% 24.71/16.03 tff(5235,plain,
% 24.71/16.03 (v121(constB39, bitIndex1)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5234, 5230])).
% 24.71/16.03 tff(5236,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5237,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5238,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB39, constB40)) | (~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1)),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5237, 5236])).
% 24.71/16.03 tff(5239,plain,
% 24.71/16.03 ((~v121(constB39, bitIndex1)) | v123(constB40, bitIndex1)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5238, 827, 5135])).
% 24.71/16.03 tff(5240,plain,
% 24.71/16.03 (v123(constB40, bitIndex1)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5239, 5235])).
% 24.71/16.03 tff(5241,plain,
% 24.71/16.03 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5242,plain,
% 24.71/16.03 ((v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1))) <=> (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5243,plain,
% 24.71/16.03 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40))))),
% 24.71/16.03 inference(monotonicity,[status(thm)],[5242])).
% 24.71/16.03 tff(5244,plain,
% 24.71/16.03 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40)))),
% 24.71/16.03 inference(transitivity,[status(thm)],[5243, 5241])).
% 24.71/16.03 tff(5245,plain,
% 24.71/16.03 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB40, bitIndex1) | (~v94(constB40)) | (~v123(constB40, bitIndex1)))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5246,plain,
% 24.71/16.03 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1)) | (~v94(constB40))),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5245, 5244])).
% 24.71/16.03 tff(5247,plain,
% 24.71/16.03 (v84(constB40, bitIndex1) | (~v94(constB40))),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5246, 842, 5240])).
% 24.71/16.03 tff(5248,plain,
% 24.71/16.03 (v84(constB40, bitIndex1)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5247, 5169])).
% 24.71/16.03 tff(5249,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5250,plain,
% 24.71/16.03 (((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1)) <=> ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5251,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1)))),
% 24.71/16.03 inference(monotonicity,[status(thm)],[5250])).
% 24.71/16.03 tff(5252,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1))),
% 24.71/16.03 inference(transitivity,[status(thm)],[5251, 5249])).
% 24.71/16.03 tff(5253,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB40, constB41)) | (~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5254,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB40, bitIndex1)) | (~nextState(constB40, constB41)) | v94(constB41) | v84(constB41, bitIndex1)),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5253, 5252])).
% 24.71/16.03 tff(5255,plain,
% 24.71/16.03 ((~v84(constB40, bitIndex1)) | v94(constB41) | v84(constB41, bitIndex1)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5254, 860, 5205])).
% 24.71/16.03 tff(5256,plain,
% 24.71/16.03 ((~v84(constB40, bitIndex1)) | v84(constB41, bitIndex1)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5255, 5217])).
% 24.71/16.03 tff(5257,plain,
% 24.71/16.03 (v84(constB41, bitIndex1)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5256, 5248])).
% 24.71/16.03 tff(5258,plain,
% 24.71/16.03 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB39)) | (~v124(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB39)) | (~v124(constB39, bitIndex0)))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5259,plain,
% 24.71/16.03 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB39)) | (~v124(constB39, bitIndex0)))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5260,plain,
% 24.71/16.03 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB39)) | (~v124(constB39, bitIndex0))),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5259, 5258])).
% 24.71/16.03 tff(5261,plain,
% 24.71/16.03 (~v124(constB39, bitIndex0)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5260, 876, 5077])).
% 24.71/16.03 tff(5262,plain,
% 24.71/16.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5263,plain,
% 24.71/16.03 ((v26(constB39) | v124(constB39, bitIndex0) | (~v121(constB39, bitIndex0))) <=> ((~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5264,plain,
% 24.71/16.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB39) | v124(constB39, bitIndex0) | (~v121(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0)))),
% 24.71/16.03 inference(monotonicity,[status(thm)],[5263])).
% 24.71/16.03 tff(5265,plain,
% 24.71/16.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB39) | v124(constB39, bitIndex0) | (~v121(constB39, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0))),
% 24.71/16.03 inference(transitivity,[status(thm)],[5264, 5262])).
% 24.71/16.03 tff(5266,plain,
% 24.71/16.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB39) | v124(constB39, bitIndex0) | (~v121(constB39, bitIndex0)))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5267,plain,
% 24.71/16.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB39, bitIndex0)) | v26(constB39) | v124(constB39, bitIndex0)),
% 24.71/16.03 inference(modus_ponens,[status(thm)],[5266, 5265])).
% 24.71/16.03 tff(5268,plain,
% 24.71/16.03 ((~v121(constB39, bitIndex0)) | v124(constB39, bitIndex0)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5267, 890, 5117])).
% 24.71/16.03 tff(5269,plain,
% 24.71/16.03 (~v121(constB39, bitIndex0)),
% 24.71/16.03 inference(unit_resolution,[status(thm)],[5268, 5261])).
% 24.71/16.03 tff(5270,plain,
% 24.71/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0)))),
% 24.71/16.03 inference(rewrite,[status(thm)],[])).
% 24.71/16.03 tff(5271,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0)))),
% 24.71/16.03 inference(quant_inst,[status(thm)],[])).
% 24.71/16.03 tff(5272,plain,
% 24.71/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB39, constB40)) | v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0))),
% 24.72/16.03 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 24.72/16.03 tff(5273,plain,
% 24.72/16.03 (v121(constB39, bitIndex0) | (~v123(constB40, bitIndex0))),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5272, 908, 5135])).
% 24.72/16.03 tff(5274,plain,
% 24.72/16.03 (~v123(constB40, bitIndex0)),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5273, 5269])).
% 24.72/16.03 tff(5275,plain,
% 24.72/16.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5276,plain,
% 24.72/16.03 (((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0)) <=> ((~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5277,plain,
% 24.72/16.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40))))),
% 24.72/16.03 inference(monotonicity,[status(thm)],[5276])).
% 24.72/16.03 tff(5278,plain,
% 24.72/16.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40)))),
% 24.72/16.03 inference(transitivity,[status(thm)],[5277, 5275])).
% 24.72/16.03 tff(5279,plain,
% 24.72/16.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB40, bitIndex0)) | (~v94(constB40)) | v123(constB40, bitIndex0))),
% 24.72/16.03 inference(quant_inst,[status(thm)],[])).
% 24.72/16.03 tff(5280,plain,
% 24.72/16.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0) | (~v94(constB40))),
% 24.72/16.03 inference(modus_ponens,[status(thm)],[5279, 5278])).
% 24.72/16.03 tff(5281,plain,
% 24.72/16.03 ((~v84(constB40, bitIndex0)) | (~v94(constB40))),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5280, 923, 5274])).
% 24.72/16.03 tff(5282,plain,
% 24.72/16.03 (~v84(constB40, bitIndex0)),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5281, 5169])).
% 24.72/16.03 tff(5283,plain,
% 24.72/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5284,plain,
% 24.72/16.03 (((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0))) <=> (v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5285,plain,
% 24.72/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0))))),
% 24.72/16.03 inference(monotonicity,[status(thm)],[5284])).
% 24.72/16.03 tff(5286,plain,
% 24.72/16.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 24.72/16.03 inference(transitivity,[status(thm)],[5285, 5283])).
% 24.72/16.03 tff(5287,plain,
% 24.72/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB40, constB41)) | v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0)))),
% 24.72/16.03 inference(quant_inst,[status(thm)],[])).
% 24.72/16.03 tff(5288,plain,
% 24.72/16.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB40, bitIndex0) | (~nextState(constB40, constB41)) | v94(constB41) | (~v84(constB41, bitIndex0))),
% 24.72/16.03 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 24.72/16.03 tff(5289,plain,
% 24.72/16.03 (v84(constB40, bitIndex0) | v94(constB41) | (~v84(constB41, bitIndex0))),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5288, 147, 5205])).
% 24.72/16.03 tff(5290,plain,
% 24.72/16.03 (v84(constB40, bitIndex0) | (~v84(constB41, bitIndex0))),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5289, 5217])).
% 24.72/16.03 tff(5291,plain,
% 24.72/16.03 (~v84(constB41, bitIndex0)),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5290, 5282])).
% 24.72/16.03 tff(5292,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v115(constB41))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v115(constB41))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5293,plain,
% 24.72/16.03 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v115(constB41))),
% 24.72/16.03 inference(quant_inst,[status(thm)],[])).
% 24.72/16.03 tff(5294,plain,
% 24.72/16.03 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB41, bitIndex0) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex2) | v115(constB41)),
% 24.72/16.03 inference(modus_ponens,[status(thm)],[5293, 5292])).
% 24.72/16.03 tff(5295,plain,
% 24.72/16.03 (v115(constB41)),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5294, 950, 5291, 5257, 5226])).
% 24.72/16.03 tff(5296,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB41) | (~v115(constB41)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB41) | (~v115(constB41)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5297,plain,
% 24.72/16.03 (((~v115(constB41)) | v111(constB41)) <=> (v111(constB41) | (~v115(constB41)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5298,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB41)) | v111(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB41) | (~v115(constB41))))),
% 24.72/16.03 inference(monotonicity,[status(thm)],[5297])).
% 24.72/16.03 tff(5299,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB41)) | v111(constB41))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB41) | (~v115(constB41)))),
% 24.72/16.03 inference(transitivity,[status(thm)],[5298, 5296])).
% 24.72/16.03 tff(5300,plain,
% 24.72/16.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB41)) | v111(constB41))),
% 24.72/16.03 inference(quant_inst,[status(thm)],[])).
% 24.72/16.03 tff(5301,plain,
% 24.72/16.03 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB41) | (~v115(constB41))),
% 24.72/16.03 inference(modus_ponens,[status(thm)],[5300, 5299])).
% 24.72/16.03 tff(5302,plain,
% 24.72/16.03 (v111(constB41)),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5301, 961, 5295])).
% 24.72/16.03 tff(5303,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB41) | (~v111(constB41)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB41) | (~v111(constB41)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5304,plain,
% 24.72/16.03 (((~v111(constB41)) | v110(constB41)) <=> (v110(constB41) | (~v111(constB41)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5305,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB41)) | v110(constB41))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB41) | (~v111(constB41))))),
% 24.72/16.03 inference(monotonicity,[status(thm)],[5304])).
% 24.72/16.03 tff(5306,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB41)) | v110(constB41))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB41) | (~v111(constB41)))),
% 24.72/16.03 inference(transitivity,[status(thm)],[5305, 5303])).
% 24.72/16.03 tff(5307,plain,
% 24.72/16.03 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB41)) | v110(constB41))),
% 24.72/16.03 inference(quant_inst,[status(thm)],[])).
% 24.72/16.03 tff(5308,plain,
% 24.72/16.03 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB41) | (~v111(constB41))),
% 24.72/16.03 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 24.72/16.03 tff(5309,plain,
% 24.72/16.03 (v110(constB41)),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5308, 207, 5302])).
% 24.72/16.03 tff(5310,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB41) | (~v110(constB41)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB41) | (~v110(constB41)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5311,plain,
% 24.72/16.03 (((~v110(constB41)) | v109(constB41)) <=> (v109(constB41) | (~v110(constB41)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5312,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB41)) | v109(constB41))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB41) | (~v110(constB41))))),
% 24.72/16.03 inference(monotonicity,[status(thm)],[5311])).
% 24.72/16.03 tff(5313,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB41)) | v109(constB41))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB41) | (~v110(constB41)))),
% 24.72/16.03 inference(transitivity,[status(thm)],[5312, 5310])).
% 24.72/16.03 tff(5314,plain,
% 24.72/16.03 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB41)) | v109(constB41))),
% 24.72/16.03 inference(quant_inst,[status(thm)],[])).
% 24.72/16.03 tff(5315,plain,
% 24.72/16.03 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB41) | (~v110(constB41))),
% 24.72/16.03 inference(modus_ponens,[status(thm)],[5314, 5313])).
% 24.72/16.03 tff(5316,plain,
% 24.72/16.03 (v109(constB41)),
% 24.72/16.03 inference(unit_resolution,[status(thm)],[5315, 221, 5309])).
% 24.72/16.03 tff(5317,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v109(constB41)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v109(constB41)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5318,plain,
% 24.72/16.03 (((~v109(constB41)) | v108(constB41)) <=> (v108(constB41) | (~v109(constB41)))),
% 24.72/16.03 inference(rewrite,[status(thm)],[])).
% 24.72/16.03 tff(5319,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB41) | (~v109(constB41))))),
% 24.72/16.03 inference(monotonicity,[status(thm)],[5318])).
% 24.72/16.03 tff(5320,plain,
% 24.72/16.03 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB41)) | v108(constB41))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v109(constB41)))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5319, 5317])).
% 24.72/16.04 tff(5321,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB41)) | v108(constB41))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5322,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB41) | (~v109(constB41))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5321, 5320])).
% 24.72/16.04 tff(5323,plain,
% 24.72/16.04 (v108(constB41)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5322, 235, 5316])).
% 24.72/16.04 tff(5324,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB41)) | v107(constB41))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB41)) | v107(constB41))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5325,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB41)) | v107(constB41))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5326,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB41)) | v107(constB41)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5325, 5324])).
% 24.72/16.04 tff(5327,plain,
% 24.72/16.04 (v107(constB41)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5326, 249, 5323])).
% 24.72/16.04 tff(5328,assumption,(v26(constB41)), introduced(assumption)).
% 24.72/16.04 tff(5329,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB41))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5330,plain,
% 24.72/16.04 ($false),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5329, 18, 5328])).
% 24.72/16.04 tff(5331,plain,(~v26(constB41)), inference(lemma,lemma(discharge,[]))).
% 24.72/16.04 tff(5332,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | v106(constB41) | (~v107(constB41)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | v106(constB41) | (~v107(constB41)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5333,plain,
% 24.72/16.04 ((v26(constB41) | (~v107(constB41)) | v106(constB41)) <=> (v26(constB41) | v106(constB41) | (~v107(constB41)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5334,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | v106(constB41) | (~v107(constB41))))),
% 24.72/16.04 inference(monotonicity,[status(thm)],[5333])).
% 24.72/16.04 tff(5335,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | v106(constB41) | (~v107(constB41)))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5334, 5332])).
% 24.72/16.04 tff(5336,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB41) | (~v107(constB41)) | v106(constB41))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5337,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB41) | v106(constB41) | (~v107(constB41))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 24.72/16.04 tff(5338,plain,
% 24.72/16.04 (v106(constB41) | (~v107(constB41))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5337, 263, 5331])).
% 24.72/16.04 tff(5339,plain,
% 24.72/16.04 (v106(constB41)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5338, 5327])).
% 24.72/16.04 tff(5340,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB41) | (~v106(constB41)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB41) | (~v106(constB41)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5341,plain,
% 24.72/16.04 (((~v106(constB41)) | v102(constB41)) <=> (v102(constB41) | (~v106(constB41)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5342,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB41)) | v102(constB41))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB41) | (~v106(constB41))))),
% 24.72/16.04 inference(monotonicity,[status(thm)],[5341])).
% 24.72/16.04 tff(5343,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB41)) | v102(constB41))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB41) | (~v106(constB41)))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5342, 5340])).
% 24.72/16.04 tff(5344,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB41)) | v102(constB41))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5345,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB41) | (~v106(constB41))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5344, 5343])).
% 24.72/16.04 tff(5346,plain,
% 24.72/16.04 (v102(constB41)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5345, 275, 5339])).
% 24.72/16.04 tff(5347,plain,
% 24.72/16.04 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5348,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_41_1')).
% 24.72/16.04 tff(5349,plain,
% 24.72/16.04 (nextState(constB41, constB42)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5348, 5347])).
% 24.72/16.04 tff(5350,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5351,plain,
% 24.72/16.04 (((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42)) <=> ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5352,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41))))),
% 24.72/16.04 inference(monotonicity,[status(thm)],[5351])).
% 24.72/16.04 tff(5353,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41)))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5352, 5350])).
% 24.72/16.04 tff(5354,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB41, constB42)) | (~v102(constB41)) | v104(constB42))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5355,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB41, constB42)) | v104(constB42) | (~v102(constB41))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5354, 5353])).
% 24.72/16.04 tff(5356,plain,
% 24.72/16.04 (v104(constB42) | (~v102(constB41))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5355, 295, 5349])).
% 24.72/16.04 tff(5357,plain,
% 24.72/16.04 (v104(constB42)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5356, 5346])).
% 24.72/16.04 tff(5358,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5359,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42)))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5360,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB41) | (~nextState(constB41, constB42)) | (~v98(constB42))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 24.72/16.04 tff(5361,plain,
% 24.72/16.04 (~v98(constB42)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5360, 313, 5349, 5202])).
% 24.72/16.04 tff(5362,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5363,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB41, constB42)) | v96(constB42) | v98(constB42))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5364,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB41, constB42)) | v96(constB42) | v98(constB42)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 24.72/16.04 tff(5365,plain,
% 24.72/16.04 (v96(constB42) | v98(constB42)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5364, 327, 5349])).
% 24.72/16.04 tff(5366,plain,
% 24.72/16.04 (v96(constB42)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5365, 5361])).
% 24.72/16.04 tff(5367,plain,
% 24.72/16.04 (v1(constB42) <=> v1(constB42)),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5368,axiom,(v1(constB42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_42_1')).
% 24.72/16.04 tff(5369,plain,
% 24.72/16.04 (v1(constB42)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5368, 5367])).
% 24.72/16.04 tff(5370,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5371,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42)))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5372,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB41, constB42)) | v95(constB42) | (~v96(constB42)) | (~v1(constB42))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 24.72/16.04 tff(5373,plain,
% 24.72/16.04 (v95(constB42) | (~v96(constB42))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5372, 345, 5349, 5369])).
% 24.72/16.04 tff(5374,plain,
% 24.72/16.04 (v95(constB42)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5373, 5366])).
% 24.72/16.04 tff(5375,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5376,plain,
% 24.72/16.04 (((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42)) <=> ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5377,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42))))),
% 24.72/16.04 inference(monotonicity,[status(thm)],[5376])).
% 24.72/16.04 tff(5378,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42)))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5377, 5375])).
% 24.72/16.04 tff(5379,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB41, constB42)) | (~v95(constB42)) | (~v104(constB42)) | v94(constB42))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5380,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB41, constB42)) | v94(constB42) | (~v95(constB42)) | (~v104(constB42))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 24.72/16.04 tff(5381,plain,
% 24.72/16.04 (v94(constB42) | (~v95(constB42)) | (~v104(constB42))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5380, 360, 5349])).
% 24.72/16.04 tff(5382,plain,
% 24.72/16.04 (v94(constB42) | (~v104(constB42))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5381, 5374])).
% 24.72/16.04 tff(5383,plain,
% 24.72/16.04 (v94(constB42)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5382, 5357])).
% 24.72/16.04 tff(5384,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB41)) | (~v124(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB41)) | (~v124(constB41, bitIndex2)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5385,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB41)) | (~v124(constB41, bitIndex2)))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5386,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB41)) | (~v124(constB41, bitIndex2))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5385, 5384])).
% 24.72/16.04 tff(5387,plain,
% 24.72/16.04 (~v124(constB41, bitIndex2)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5386, 1046, 5295])).
% 24.72/16.04 tff(5388,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5389,plain,
% 24.72/16.04 ((v26(constB41) | v124(constB41, bitIndex2) | (~v121(constB41, bitIndex2))) <=> ((~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5390,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB41) | v124(constB41, bitIndex2) | (~v121(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2)))),
% 24.72/16.04 inference(monotonicity,[status(thm)],[5389])).
% 24.72/16.04 tff(5391,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB41) | v124(constB41, bitIndex2) | (~v121(constB41, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5390, 5388])).
% 24.72/16.04 tff(5392,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB41) | v124(constB41, bitIndex2) | (~v121(constB41, bitIndex2)))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5393,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB41, bitIndex2)) | v26(constB41) | v124(constB41, bitIndex2)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5392, 5391])).
% 24.72/16.04 tff(5394,plain,
% 24.72/16.04 ((~v121(constB41, bitIndex2)) | v124(constB41, bitIndex2)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5393, 390, 5331])).
% 24.72/16.04 tff(5395,plain,
% 24.72/16.04 (~v121(constB41, bitIndex2)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5394, 5387])).
% 24.72/16.04 tff(5396,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5397,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB41, constB42)) | v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2)))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5398,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB41, constB42)) | v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5397, 5396])).
% 24.72/16.04 tff(5399,plain,
% 24.72/16.04 (v121(constB41, bitIndex2) | (~v123(constB42, bitIndex2))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5398, 408, 5349])).
% 24.72/16.04 tff(5400,plain,
% 24.72/16.04 (~v123(constB42, bitIndex2)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5399, 5395])).
% 24.72/16.04 tff(5401,plain,
% 24.72/16.04 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5402,plain,
% 24.72/16.04 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42)))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5403,plain,
% 24.72/16.04 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2) | (~v94(constB42))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 24.72/16.04 tff(5404,plain,
% 24.72/16.04 ((~v84(constB42, bitIndex2)) | (~v94(constB42))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5403, 423, 5400])).
% 24.72/16.04 tff(5405,plain,
% 24.72/16.04 (~v84(constB42, bitIndex2)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5404, 5383])).
% 24.72/16.04 tff(5406,plain,
% 24.72/16.04 ((~v1(constB43)) <=> (~v1(constB43))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5407,axiom,(~v1(constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_43_1_1')).
% 24.72/16.04 tff(5408,plain,
% 24.72/16.04 (~v1(constB43)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5407, 5406])).
% 24.72/16.04 tff(5409,plain,
% 24.72/16.04 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5410,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_42_1')).
% 24.72/16.04 tff(5411,plain,
% 24.72/16.04 (nextState(constB42, constB43)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 24.72/16.04 tff(5412,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5413,plain,
% 24.72/16.04 (((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43)) <=> (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5414,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43))))),
% 24.72/16.04 inference(monotonicity,[status(thm)],[5413])).
% 24.72/16.04 tff(5415,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43)))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5414, 5412])).
% 24.72/16.04 tff(5416,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB42, constB43)) | (~v95(constB43)) | v1(constB43))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5417,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB43) | (~nextState(constB42, constB43)) | (~v95(constB43))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5416, 5415])).
% 24.72/16.04 tff(5418,plain,
% 24.72/16.04 (~v95(constB43)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5417, 73, 5411, 5408])).
% 24.72/16.04 tff(5419,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5420,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43)))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5421,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB42, constB43)) | v95(constB43) | (~v94(constB43))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5420, 5419])).
% 24.72/16.04 tff(5422,plain,
% 24.72/16.04 (v95(constB43) | (~v94(constB43))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5421, 90, 5411])).
% 24.72/16.04 tff(5423,plain,
% 24.72/16.04 (~v94(constB43)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5422, 5418])).
% 24.72/16.04 tff(5424,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5425,plain,
% 24.72/16.04 (((~nextState(constB42, constB43)) | v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2))) <=> (v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5426,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2))))),
% 24.72/16.04 inference(monotonicity,[status(thm)],[5425])).
% 24.72/16.04 tff(5427,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2)))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5426, 5424])).
% 24.72/16.04 tff(5428,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB42, constB43)) | v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2)))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5429,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB42, bitIndex2) | (~nextState(constB42, constB43)) | v94(constB43) | (~v84(constB43, bitIndex2))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5428, 5427])).
% 24.72/16.04 tff(5430,plain,
% 24.72/16.04 (v84(constB42, bitIndex2) | v94(constB43) | (~v84(constB43, bitIndex2))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5429, 105, 5411])).
% 24.72/16.04 tff(5431,plain,
% 24.72/16.04 (v84(constB42, bitIndex2) | (~v84(constB43, bitIndex2))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5430, 5423])).
% 24.72/16.04 tff(5432,plain,
% 24.72/16.04 (~v84(constB43, bitIndex2)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5431, 5405])).
% 24.72/16.04 tff(5433,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB41)) | v124(constB41, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB41)) | v124(constB41, bitIndex1))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5434,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB41)) | v124(constB41, bitIndex1))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5435,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB41)) | v124(constB41, bitIndex1)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5434, 5433])).
% 24.72/16.04 tff(5436,plain,
% 24.72/16.04 (v124(constB41, bitIndex1)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5435, 1102, 5295])).
% 24.72/16.04 tff(5437,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB41) | (~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB41) | (~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5438,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB41) | (~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5439,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB41) | (~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 24.72/16.04 tff(5440,plain,
% 24.72/16.04 ((~v124(constB41, bitIndex1)) | v121(constB41, bitIndex1)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5439, 812, 5331])).
% 24.72/16.04 tff(5441,plain,
% 24.72/16.04 (v121(constB41, bitIndex1)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5440, 5436])).
% 24.72/16.04 tff(5442,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5443,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5444,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5443, 5442])).
% 24.72/16.04 tff(5445,plain,
% 24.72/16.04 ((~v121(constB41, bitIndex1)) | v123(constB42, bitIndex1)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5444, 827, 5349])).
% 24.72/16.04 tff(5446,plain,
% 24.72/16.04 (v123(constB42, bitIndex1)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5445, 5441])).
% 24.72/16.04 tff(5447,plain,
% 24.72/16.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5448,plain,
% 24.72/16.04 ((v84(constB42, bitIndex1) | (~v94(constB42)) | (~v123(constB42, bitIndex1))) <=> (v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42)))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5449,plain,
% 24.72/16.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v94(constB42)) | (~v123(constB42, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42))))),
% 24.72/16.04 inference(monotonicity,[status(thm)],[5448])).
% 24.72/16.04 tff(5450,plain,
% 24.72/16.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v94(constB42)) | (~v123(constB42, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42)))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5449, 5447])).
% 24.72/16.04 tff(5451,plain,
% 24.72/16.04 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB42, bitIndex1) | (~v94(constB42)) | (~v123(constB42, bitIndex1)))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5452,plain,
% 24.72/16.04 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1)) | (~v94(constB42))),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 24.72/16.04 tff(5453,plain,
% 24.72/16.04 (v84(constB42, bitIndex1) | (~v94(constB42))),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5452, 842, 5446])).
% 24.72/16.04 tff(5454,plain,
% 24.72/16.04 (v84(constB42, bitIndex1)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5453, 5383])).
% 24.72/16.04 tff(5455,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5456,plain,
% 24.72/16.04 (((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1)) <=> ((~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5457,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1)))),
% 24.72/16.04 inference(monotonicity,[status(thm)],[5456])).
% 24.72/16.04 tff(5458,plain,
% 24.72/16.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1))),
% 24.72/16.04 inference(transitivity,[status(thm)],[5457, 5455])).
% 24.72/16.04 tff(5459,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5460,plain,
% 24.72/16.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB42, bitIndex1)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex1)),
% 24.72/16.04 inference(modus_ponens,[status(thm)],[5459, 5458])).
% 24.72/16.04 tff(5461,plain,
% 24.72/16.04 ((~v84(constB42, bitIndex1)) | v94(constB43) | v84(constB43, bitIndex1)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5460, 860, 5411])).
% 24.72/16.04 tff(5462,plain,
% 24.72/16.04 ((~v84(constB42, bitIndex1)) | v84(constB43, bitIndex1)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5461, 5423])).
% 24.72/16.04 tff(5463,plain,
% 24.72/16.04 (v84(constB43, bitIndex1)),
% 24.72/16.04 inference(unit_resolution,[status(thm)],[5462, 5454])).
% 24.72/16.04 tff(5464,plain,
% 24.72/16.04 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB41)) | v124(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB41)) | v124(constB41, bitIndex0))),
% 24.72/16.04 inference(rewrite,[status(thm)],[])).
% 24.72/16.04 tff(5465,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB41)) | v124(constB41, bitIndex0))),
% 24.72/16.04 inference(quant_inst,[status(thm)],[])).
% 24.72/16.04 tff(5466,plain,
% 24.72/16.04 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB41)) | v124(constB41, bitIndex0)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5465, 5464])).
% 24.72/16.05 tff(5467,plain,
% 24.72/16.05 (v124(constB41, bitIndex0)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5466, 1140, 5295])).
% 24.72/16.05 tff(5468,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB41) | (~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB41) | (~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5469,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB41) | (~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5470,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB41) | (~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5469, 5468])).
% 24.72/16.05 tff(5471,plain,
% 24.72/16.05 ((~v124(constB41, bitIndex0)) | v121(constB41, bitIndex0)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5470, 547, 5331])).
% 24.72/16.05 tff(5472,plain,
% 24.72/16.05 (v121(constB41, bitIndex0)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5471, 5467])).
% 24.72/16.05 tff(5473,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5474,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB41, constB42)) | (~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5475,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB41, constB42)) | (~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5474, 5473])).
% 24.72/16.05 tff(5476,plain,
% 24.72/16.05 ((~v121(constB41, bitIndex0)) | v123(constB42, bitIndex0)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5475, 562, 5349])).
% 24.72/16.05 tff(5477,plain,
% 24.72/16.05 (v123(constB42, bitIndex0)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5476, 5472])).
% 24.72/16.05 tff(5478,plain,
% 24.72/16.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5479,plain,
% 24.72/16.05 ((v84(constB42, bitIndex0) | (~v94(constB42)) | (~v123(constB42, bitIndex0))) <=> (v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5480,plain,
% 24.72/16.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v94(constB42)) | (~v123(constB42, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42))))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5479])).
% 24.72/16.05 tff(5481,plain,
% 24.72/16.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v94(constB42)) | (~v123(constB42, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42)))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5480, 5478])).
% 24.72/16.05 tff(5482,plain,
% 24.72/16.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB42, bitIndex0) | (~v94(constB42)) | (~v123(constB42, bitIndex0)))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5483,plain,
% 24.72/16.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0)) | (~v94(constB42))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5482, 5481])).
% 24.72/16.05 tff(5484,plain,
% 24.72/16.05 (v84(constB42, bitIndex0) | (~v94(constB42))),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5483, 577, 5477])).
% 24.72/16.05 tff(5485,plain,
% 24.72/16.05 (v84(constB42, bitIndex0)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5484, 5383])).
% 24.72/16.05 tff(5486,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5487,plain,
% 24.72/16.05 (((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0)) <=> ((~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5488,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0)))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5487])).
% 24.72/16.05 tff(5489,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5488, 5486])).
% 24.72/16.05 tff(5490,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB42, constB43)) | (~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5491,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB42, bitIndex0)) | (~nextState(constB42, constB43)) | v94(constB43) | v84(constB43, bitIndex0)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5490, 5489])).
% 24.72/16.05 tff(5492,plain,
% 24.72/16.05 ((~v84(constB42, bitIndex0)) | v94(constB43) | v84(constB43, bitIndex0)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5491, 595, 5411])).
% 24.72/16.05 tff(5493,plain,
% 24.72/16.05 ((~v84(constB42, bitIndex0)) | v84(constB43, bitIndex0)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5492, 5423])).
% 24.72/16.05 tff(5494,plain,
% 24.72/16.05 (v84(constB43, bitIndex0)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5493, 5485])).
% 24.72/16.05 tff(5495,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5496,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5497,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB43, bitIndex0)) | (~v84(constB43, bitIndex1)) | v84(constB43, bitIndex2) | v116(constB43)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5496, 5495])).
% 24.72/16.05 tff(5498,plain,
% 24.72/16.05 (v116(constB43)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5497, 1181, 5494, 5463, 5432])).
% 24.72/16.05 tff(5499,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB43)) | v110(constB43))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB43)) | v110(constB43))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5500,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB43)) | v110(constB43))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5501,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB43)) | v110(constB43)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5500, 5499])).
% 24.72/16.05 tff(5502,plain,
% 24.72/16.05 (v110(constB43)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5501, 1192, 5498])).
% 24.72/16.05 tff(5503,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB43) | (~v110(constB43)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB43) | (~v110(constB43)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5504,plain,
% 24.72/16.05 (((~v110(constB43)) | v109(constB43)) <=> (v109(constB43) | (~v110(constB43)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5505,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB43)) | v109(constB43))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB43) | (~v110(constB43))))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5504])).
% 24.72/16.05 tff(5506,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB43)) | v109(constB43))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB43) | (~v110(constB43)))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5505, 5503])).
% 24.72/16.05 tff(5507,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB43)) | v109(constB43))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5508,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB43) | (~v110(constB43))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5507, 5506])).
% 24.72/16.05 tff(5509,plain,
% 24.72/16.05 (v109(constB43)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5508, 221, 5502])).
% 24.72/16.05 tff(5510,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB43)) | v108(constB43))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB43)) | v108(constB43))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5511,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB43)) | v108(constB43))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5512,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB43)) | v108(constB43)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5511, 5510])).
% 24.72/16.05 tff(5513,plain,
% 24.72/16.05 (v108(constB43)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5512, 235, 5509])).
% 24.72/16.05 tff(5514,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB43)) | v107(constB43))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB43)) | v107(constB43))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5515,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB43)) | v107(constB43))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5516,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB43)) | v107(constB43)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5515, 5514])).
% 24.72/16.05 tff(5517,plain,
% 24.72/16.05 (v107(constB43)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5516, 249, 5513])).
% 24.72/16.05 tff(5518,assumption,(v26(constB43)), introduced(assumption)).
% 24.72/16.05 tff(5519,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB43))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5520,plain,
% 24.72/16.05 ($false),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5519, 18, 5518])).
% 24.72/16.05 tff(5521,plain,(~v26(constB43)), inference(lemma,lemma(discharge,[]))).
% 24.72/16.05 tff(5522,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | v106(constB43) | (~v107(constB43)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5523,plain,
% 24.72/16.05 ((v26(constB43) | (~v107(constB43)) | v106(constB43)) <=> (v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5524,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | v106(constB43) | (~v107(constB43))))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5523])).
% 24.72/16.05 tff(5525,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43)))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5524, 5522])).
% 24.72/16.05 tff(5526,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB43) | (~v107(constB43)) | v106(constB43))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5527,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB43) | v106(constB43) | (~v107(constB43))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5526, 5525])).
% 24.72/16.05 tff(5528,plain,
% 24.72/16.05 (v106(constB43) | (~v107(constB43))),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5527, 263, 5521])).
% 24.72/16.05 tff(5529,plain,
% 24.72/16.05 (v106(constB43)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5528, 5517])).
% 24.72/16.05 tff(5530,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB43) | (~v106(constB43)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB43) | (~v106(constB43)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5531,plain,
% 24.72/16.05 (((~v106(constB43)) | v102(constB43)) <=> (v102(constB43) | (~v106(constB43)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5532,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB43)) | v102(constB43))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB43) | (~v106(constB43))))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5531])).
% 24.72/16.05 tff(5533,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB43)) | v102(constB43))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB43) | (~v106(constB43)))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5532, 5530])).
% 24.72/16.05 tff(5534,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB43)) | v102(constB43))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5535,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB43) | (~v106(constB43))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 24.72/16.05 tff(5536,plain,
% 24.72/16.05 (v102(constB43)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5535, 275, 5529])).
% 24.72/16.05 tff(5537,plain,
% 24.72/16.05 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5538,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_43_1')).
% 24.72/16.05 tff(5539,plain,
% 24.72/16.05 (nextState(constB43, constB44)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 24.72/16.05 tff(5540,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5541,plain,
% 24.72/16.05 (((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44)) <=> ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5542,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43))))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5541])).
% 24.72/16.05 tff(5543,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43)))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5542, 5540])).
% 24.72/16.05 tff(5544,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB43, constB44)) | (~v102(constB43)) | v104(constB44))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5545,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB43, constB44)) | v104(constB44) | (~v102(constB43))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5544, 5543])).
% 24.72/16.05 tff(5546,plain,
% 24.72/16.05 (v104(constB44) | (~v102(constB43))),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5545, 295, 5539])).
% 24.72/16.05 tff(5547,plain,
% 24.72/16.05 (v104(constB44)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5546, 5536])).
% 24.72/16.05 tff(5548,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5549,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44)))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5550,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB43) | (~nextState(constB43, constB44)) | (~v98(constB44))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5549, 5548])).
% 24.72/16.05 tff(5551,plain,
% 24.72/16.05 (~v98(constB44)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5550, 313, 5539, 5408])).
% 24.72/16.05 tff(5552,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5553,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB43, constB44)) | v96(constB44) | v98(constB44))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5554,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB43, constB44)) | v96(constB44) | v98(constB44)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 24.72/16.05 tff(5555,plain,
% 24.72/16.05 (v96(constB44) | v98(constB44)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5554, 327, 5539])).
% 24.72/16.05 tff(5556,plain,
% 24.72/16.05 (v96(constB44)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5555, 5551])).
% 24.72/16.05 tff(5557,plain,
% 24.72/16.05 (v1(constB44) <=> v1(constB44)),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5558,axiom,(v1(constB44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_44_1')).
% 24.72/16.05 tff(5559,plain,
% 24.72/16.05 (v1(constB44)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 24.72/16.05 tff(5560,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5561,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44)))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5562,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB43, constB44)) | v95(constB44) | (~v96(constB44)) | (~v1(constB44))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5561, 5560])).
% 24.72/16.05 tff(5563,plain,
% 24.72/16.05 (v95(constB44) | (~v96(constB44))),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5562, 345, 5539, 5559])).
% 24.72/16.05 tff(5564,plain,
% 24.72/16.05 (v95(constB44)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5563, 5556])).
% 24.72/16.05 tff(5565,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5566,plain,
% 24.72/16.05 (((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44)) <=> ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5567,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44))))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5566])).
% 24.72/16.05 tff(5568,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44)))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5567, 5565])).
% 24.72/16.05 tff(5569,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB43, constB44)) | (~v95(constB44)) | (~v104(constB44)) | v94(constB44))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5570,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB43, constB44)) | v94(constB44) | (~v95(constB44)) | (~v104(constB44))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5569, 5568])).
% 24.72/16.05 tff(5571,plain,
% 24.72/16.05 (v94(constB44) | (~v95(constB44)) | (~v104(constB44))),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5570, 360, 5539])).
% 24.72/16.05 tff(5572,plain,
% 24.72/16.05 (v94(constB44) | (~v104(constB44))),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5571, 5564])).
% 24.72/16.05 tff(5573,plain,
% 24.72/16.05 (v94(constB44)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5572, 5547])).
% 24.72/16.05 tff(5574,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB43)) | v124(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB43)) | v124(constB43, bitIndex2))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5575,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB43)) | v124(constB43, bitIndex2))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5576,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB43)) | v124(constB43, bitIndex2)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5575, 5574])).
% 24.72/16.05 tff(5577,plain,
% 24.72/16.05 (v124(constB43, bitIndex2)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5576, 1273, 5498])).
% 24.72/16.05 tff(5578,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5579,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5580,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB43) | (~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5579, 5578])).
% 24.72/16.05 tff(5581,plain,
% 24.72/16.05 ((~v124(constB43, bitIndex2)) | v121(constB43, bitIndex2)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5580, 1287, 5521])).
% 24.72/16.05 tff(5582,plain,
% 24.72/16.05 (v121(constB43, bitIndex2)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5581, 5577])).
% 24.72/16.05 tff(5583,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5584,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5585,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB43, constB44)) | (~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5584, 5583])).
% 24.72/16.05 tff(5586,plain,
% 24.72/16.05 ((~v121(constB43, bitIndex2)) | v123(constB44, bitIndex2)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5585, 1302, 5539])).
% 24.72/16.05 tff(5587,plain,
% 24.72/16.05 (v123(constB44, bitIndex2)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5586, 5582])).
% 24.72/16.05 tff(5588,plain,
% 24.72/16.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5589,plain,
% 24.72/16.05 ((v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2))) <=> (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5590,plain,
% 24.72/16.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44))))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5589])).
% 24.72/16.05 tff(5591,plain,
% 24.72/16.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44)))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5590, 5588])).
% 24.72/16.05 tff(5592,plain,
% 24.72/16.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB44, bitIndex2) | (~v94(constB44)) | (~v123(constB44, bitIndex2)))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5593,plain,
% 24.72/16.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2)) | (~v94(constB44))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5592, 5591])).
% 24.72/16.05 tff(5594,plain,
% 24.72/16.05 (v84(constB44, bitIndex2) | (~v94(constB44))),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5593, 1317, 5587])).
% 24.72/16.05 tff(5595,plain,
% 24.72/16.05 (v84(constB44, bitIndex2)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5594, 5573])).
% 24.72/16.05 tff(5596,plain,
% 24.72/16.05 ((~v1(constB45)) <=> (~v1(constB45))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5597,axiom,(~v1(constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_45_1_1')).
% 24.72/16.05 tff(5598,plain,
% 24.72/16.05 (~v1(constB45)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 24.72/16.05 tff(5599,plain,
% 24.72/16.05 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5600,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_44_1')).
% 24.72/16.05 tff(5601,plain,
% 24.72/16.05 (nextState(constB44, constB45)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5600, 5599])).
% 24.72/16.05 tff(5602,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5603,plain,
% 24.72/16.05 (((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45)) <=> (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5604,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45))))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5603])).
% 24.72/16.05 tff(5605,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45)))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5604, 5602])).
% 24.72/16.05 tff(5606,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB44, constB45)) | (~v95(constB45)) | v1(constB45))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5607,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB45) | (~nextState(constB44, constB45)) | (~v95(constB45))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5606, 5605])).
% 24.72/16.05 tff(5608,plain,
% 24.72/16.05 (~v95(constB45)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5607, 73, 5601, 5598])).
% 24.72/16.05 tff(5609,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5610,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45)))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5611,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB44, constB45)) | v95(constB45) | (~v94(constB45))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 24.72/16.05 tff(5612,plain,
% 24.72/16.05 (v95(constB45) | (~v94(constB45))),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5611, 90, 5601])).
% 24.72/16.05 tff(5613,plain,
% 24.72/16.05 (~v94(constB45)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5612, 5608])).
% 24.72/16.05 tff(5614,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5615,plain,
% 24.72/16.05 (((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2)) <=> ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5616,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2)))),
% 24.72/16.05 inference(monotonicity,[status(thm)],[5615])).
% 24.72/16.05 tff(5617,plain,
% 24.72/16.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2))),
% 24.72/16.05 inference(transitivity,[status(thm)],[5616, 5614])).
% 24.72/16.05 tff(5618,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB44, constB45)) | (~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5619,plain,
% 24.72/16.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB44, bitIndex2)) | (~nextState(constB44, constB45)) | v94(constB45) | v84(constB45, bitIndex2)),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5618, 5617])).
% 24.72/16.05 tff(5620,plain,
% 24.72/16.05 ((~v84(constB44, bitIndex2)) | v94(constB45) | v84(constB45, bitIndex2)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5619, 1353, 5601])).
% 24.72/16.05 tff(5621,plain,
% 24.72/16.05 ((~v84(constB44, bitIndex2)) | v84(constB45, bitIndex2)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5620, 5613])).
% 24.72/16.05 tff(5622,plain,
% 24.72/16.05 (v84(constB45, bitIndex2)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5621, 5595])).
% 24.72/16.05 tff(5623,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB43)) | (~v124(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB43)) | (~v124(constB43, bitIndex1)))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5624,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB43)) | (~v124(constB43, bitIndex1)))),
% 24.72/16.05 inference(quant_inst,[status(thm)],[])).
% 24.72/16.05 tff(5625,plain,
% 24.72/16.05 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB43)) | (~v124(constB43, bitIndex1))),
% 24.72/16.05 inference(modus_ponens,[status(thm)],[5624, 5623])).
% 24.72/16.05 tff(5626,plain,
% 24.72/16.05 (~v124(constB43, bitIndex1)),
% 24.72/16.05 inference(unit_resolution,[status(thm)],[5625, 1369, 5498])).
% 24.72/16.05 tff(5627,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5628,plain,
% 24.72/16.05 ((v26(constB43) | v124(constB43, bitIndex1) | (~v121(constB43, bitIndex1))) <=> ((~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1))),
% 24.72/16.05 inference(rewrite,[status(thm)],[])).
% 24.72/16.05 tff(5629,plain,
% 24.72/16.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB43) | v124(constB43, bitIndex1) | (~v121(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1)))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5628])).
% 24.72/16.06 tff(5630,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB43) | v124(constB43, bitIndex1) | (~v121(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5629, 5627])).
% 24.72/16.06 tff(5631,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB43) | v124(constB43, bitIndex1) | (~v121(constB43, bitIndex1)))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5632,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB43, bitIndex1)) | v26(constB43) | v124(constB43, bitIndex1)),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5631, 5630])).
% 24.72/16.06 tff(5633,plain,
% 24.72/16.06 ((~v121(constB43, bitIndex1)) | v124(constB43, bitIndex1)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5632, 476, 5521])).
% 24.72/16.06 tff(5634,plain,
% 24.72/16.06 (~v121(constB43, bitIndex1)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5633, 5626])).
% 24.72/16.06 tff(5635,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5636,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1)))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5637,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 24.72/16.06 tff(5638,plain,
% 24.72/16.06 (v121(constB43, bitIndex1) | (~v123(constB44, bitIndex1))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5637, 494, 5539])).
% 24.72/16.06 tff(5639,plain,
% 24.72/16.06 (~v123(constB44, bitIndex1)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5638, 5634])).
% 24.72/16.06 tff(5640,plain,
% 24.72/16.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5641,plain,
% 24.72/16.06 (((~v84(constB44, bitIndex1)) | (~v94(constB44)) | v123(constB44, bitIndex1)) <=> ((~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5642,plain,
% 24.72/16.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~v94(constB44)) | v123(constB44, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44))))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5641])).
% 24.72/16.06 tff(5643,plain,
% 24.72/16.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~v94(constB44)) | v123(constB44, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44)))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5642, 5640])).
% 24.72/16.06 tff(5644,plain,
% 24.72/16.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB44, bitIndex1)) | (~v94(constB44)) | v123(constB44, bitIndex1))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5645,plain,
% 24.72/16.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1) | (~v94(constB44))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5644, 5643])).
% 24.72/16.06 tff(5646,plain,
% 24.72/16.06 ((~v84(constB44, bitIndex1)) | (~v94(constB44))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5645, 509, 5639])).
% 24.72/16.06 tff(5647,plain,
% 24.72/16.06 (~v84(constB44, bitIndex1)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5646, 5573])).
% 24.72/16.06 tff(5648,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5649,plain,
% 24.72/16.06 (((~nextState(constB44, constB45)) | v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1))) <=> (v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5650,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1))))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5649])).
% 24.72/16.06 tff(5651,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1)))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5650, 5648])).
% 24.72/16.06 tff(5652,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1)))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5653,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB44, bitIndex1) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex1))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5652, 5651])).
% 24.72/16.06 tff(5654,plain,
% 24.72/16.06 (v84(constB44, bitIndex1) | v94(constB45) | (~v84(constB45, bitIndex1))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5653, 126, 5601])).
% 24.72/16.06 tff(5655,plain,
% 24.72/16.06 (v84(constB44, bitIndex1) | (~v84(constB45, bitIndex1))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5654, 5613])).
% 24.72/16.06 tff(5656,plain,
% 24.72/16.06 (~v84(constB45, bitIndex1)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5655, 5647])).
% 24.72/16.06 tff(5657,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB43)) | (~v124(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB43)) | (~v124(constB43, bitIndex0)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5658,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB43)) | (~v124(constB43, bitIndex0)))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5659,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB43)) | (~v124(constB43, bitIndex0))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5658, 5657])).
% 24.72/16.06 tff(5660,plain,
% 24.72/16.06 (~v124(constB43, bitIndex0)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5659, 1410, 5498])).
% 24.72/16.06 tff(5661,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5662,plain,
% 24.72/16.06 ((v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0))) <=> ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5663,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0)))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5662])).
% 24.72/16.06 tff(5664,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5663, 5661])).
% 24.72/16.06 tff(5665,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB43) | v124(constB43, bitIndex0) | (~v121(constB43, bitIndex0)))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5666,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB43, bitIndex0)) | v26(constB43) | v124(constB43, bitIndex0)),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 24.72/16.06 tff(5667,plain,
% 24.72/16.06 ((~v121(constB43, bitIndex0)) | v124(constB43, bitIndex0)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5666, 890, 5521])).
% 24.72/16.06 tff(5668,plain,
% 24.72/16.06 (~v121(constB43, bitIndex0)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5667, 5660])).
% 24.72/16.06 tff(5669,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5670,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0)))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5671,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB43, constB44)) | v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5670, 5669])).
% 24.72/16.06 tff(5672,plain,
% 24.72/16.06 (v121(constB43, bitIndex0) | (~v123(constB44, bitIndex0))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5671, 908, 5539])).
% 24.72/16.06 tff(5673,plain,
% 24.72/16.06 (~v123(constB44, bitIndex0)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5672, 5668])).
% 24.72/16.06 tff(5674,plain,
% 24.72/16.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5675,plain,
% 24.72/16.06 (((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0)) <=> ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5676,plain,
% 24.72/16.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44))))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5675])).
% 24.72/16.06 tff(5677,plain,
% 24.72/16.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44)))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5676, 5674])).
% 24.72/16.06 tff(5678,plain,
% 24.72/16.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB44, bitIndex0)) | (~v94(constB44)) | v123(constB44, bitIndex0))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5679,plain,
% 24.72/16.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0) | (~v94(constB44))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5678, 5677])).
% 24.72/16.06 tff(5680,plain,
% 24.72/16.06 ((~v84(constB44, bitIndex0)) | (~v94(constB44))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5679, 923, 5673])).
% 24.72/16.06 tff(5681,plain,
% 24.72/16.06 (~v84(constB44, bitIndex0)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5680, 5573])).
% 24.72/16.06 tff(5682,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5683,plain,
% 24.72/16.06 (((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0))) <=> (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5684,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0))))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5683])).
% 24.72/16.06 tff(5685,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5684, 5682])).
% 24.72/16.06 tff(5686,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB44, constB45)) | v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0)))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5687,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB44, bitIndex0) | (~nextState(constB44, constB45)) | v94(constB45) | (~v84(constB45, bitIndex0))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5686, 5685])).
% 24.72/16.06 tff(5688,plain,
% 24.72/16.06 (v84(constB44, bitIndex0) | v94(constB45) | (~v84(constB45, bitIndex0))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5687, 147, 5601])).
% 24.72/16.06 tff(5689,plain,
% 24.72/16.06 (v84(constB44, bitIndex0) | (~v84(constB45, bitIndex0))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5688, 5613])).
% 24.72/16.06 tff(5690,plain,
% 24.72/16.06 (~v84(constB45, bitIndex0)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5689, 5681])).
% 24.72/16.06 tff(5691,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v172(constB45))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v172(constB45))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5692,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v172(constB45))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5693,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v172(constB45)),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5692, 5691])).
% 24.72/16.06 tff(5694,plain,
% 24.72/16.06 (v172(constB45)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5693, 1454, 5690, 5656, 5622])).
% 24.72/16.06 tff(5695,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB45)) | v124(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB45)) | v124(constB45, bitIndex2))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5696,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB45)) | v124(constB45, bitIndex2))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5697,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB45)) | v124(constB45, bitIndex2)),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 24.72/16.06 tff(5698,plain,
% 24.72/16.06 (v124(constB45, bitIndex2)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5697, 1539, 5694])).
% 24.72/16.06 tff(5699,assumption,(v26(constB45)), introduced(assumption)).
% 24.72/16.06 tff(5700,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB45))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5701,plain,
% 24.72/16.06 ($false),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5700, 18, 5699])).
% 24.72/16.06 tff(5702,plain,(~v26(constB45)), inference(lemma,lemma(discharge,[]))).
% 24.72/16.06 tff(5703,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB45) | (~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB45) | (~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5704,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB45) | (~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5705,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB45) | (~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2)),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5704, 5703])).
% 24.72/16.06 tff(5706,plain,
% 24.72/16.06 ((~v124(constB45, bitIndex2)) | v121(constB45, bitIndex2)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5705, 1287, 5702])).
% 24.72/16.06 tff(5707,plain,
% 24.72/16.06 (v121(constB45, bitIndex2)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5706, 5698])).
% 24.72/16.06 tff(5708,plain,
% 24.72/16.06 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5709,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_45_1')).
% 24.72/16.06 tff(5710,plain,
% 24.72/16.06 (nextState(constB45, constB46)),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5709, 5708])).
% 24.72/16.06 tff(5711,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5712,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5713,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2)),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 24.72/16.06 tff(5714,plain,
% 24.72/16.06 ((~v121(constB45, bitIndex2)) | v123(constB46, bitIndex2)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5713, 1302, 5710])).
% 24.72/16.06 tff(5715,plain,
% 24.72/16.06 (v123(constB46, bitIndex2)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5714, 5707])).
% 24.72/16.06 tff(5716,assumption,(~v104(constB46)), introduced(assumption)).
% 24.72/16.06 tff(5717,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5718,plain,
% 24.72/16.06 (((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46)) <=> ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5719,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45))))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5718])).
% 24.72/16.06 tff(5720,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45)))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5719, 5717])).
% 24.72/16.06 tff(5721,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB45, constB46)) | (~v102(constB45)) | v104(constB46))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5722,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v102(constB45))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5721, 5720])).
% 24.72/16.06 tff(5723,plain,
% 24.72/16.06 (v104(constB46) | (~v102(constB45))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5722, 295, 5710])).
% 24.72/16.06 tff(5724,plain,
% 24.72/16.06 (~v102(constB45)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5723, 5716])).
% 24.72/16.06 tff(5725,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB45) | (~v106(constB45)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB45) | (~v106(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5726,plain,
% 24.72/16.06 (((~v106(constB45)) | v102(constB45)) <=> (v102(constB45) | (~v106(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5727,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB45)) | v102(constB45))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB45) | (~v106(constB45))))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5726])).
% 24.72/16.06 tff(5728,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB45)) | v102(constB45))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB45) | (~v106(constB45)))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5727, 5725])).
% 24.72/16.06 tff(5729,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB45)) | v102(constB45))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5730,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB45) | (~v106(constB45))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5729, 5728])).
% 24.72/16.06 tff(5731,plain,
% 24.72/16.06 (~v106(constB45)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5730, 275, 5724])).
% 24.72/16.06 tff(5732,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB45) | (~v26(constB45)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB45) | (~v26(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5733,plain,
% 24.72/16.06 (((~v26(constB45)) | v102(constB45)) <=> (v102(constB45) | (~v26(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5734,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB45)) | v102(constB45))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB45) | (~v26(constB45))))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5733])).
% 24.72/16.06 tff(5735,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB45)) | v102(constB45))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB45) | (~v26(constB45)))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5734, 5732])).
% 24.72/16.06 tff(5736,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB45)) | v102(constB45))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5737,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB45) | (~v26(constB45))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 24.72/16.06 tff(5738,plain,
% 24.72/16.06 (~v26(constB45)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5737, 660, 5724])).
% 24.72/16.06 tff(5739,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB45) | (~v107(constB45)) | v106(constB45))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB45) | (~v107(constB45)) | v106(constB45))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5740,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB45) | (~v107(constB45)) | v106(constB45))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5741,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB45) | (~v107(constB45)) | v106(constB45)),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 24.72/16.06 tff(5742,plain,
% 24.72/16.06 (~v107(constB45)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5741, 263, 5738, 5731])).
% 24.72/16.06 tff(5743,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB45) | (~v108(constB45)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB45) | (~v108(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5744,plain,
% 24.72/16.06 (((~v108(constB45)) | v107(constB45)) <=> (v107(constB45) | (~v108(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5745,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB45)) | v107(constB45))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB45) | (~v108(constB45))))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5744])).
% 24.72/16.06 tff(5746,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB45)) | v107(constB45))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB45) | (~v108(constB45)))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5745, 5743])).
% 24.72/16.06 tff(5747,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB45)) | v107(constB45))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5748,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB45) | (~v108(constB45))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5747, 5746])).
% 24.72/16.06 tff(5749,plain,
% 24.72/16.06 (~v108(constB45)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5748, 249, 5742])).
% 24.72/16.06 tff(5750,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v109(constB45)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v109(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5751,plain,
% 24.72/16.06 (((~v109(constB45)) | v108(constB45)) <=> (v108(constB45) | (~v109(constB45)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5752,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v109(constB45))))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5751])).
% 24.72/16.06 tff(5753,plain,
% 24.72/16.06 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v109(constB45)))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5752, 5750])).
% 24.72/16.06 tff(5754,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB45)) | v108(constB45))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5755,plain,
% 24.72/16.06 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v109(constB45))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5754, 5753])).
% 24.72/16.06 tff(5756,plain,
% 24.72/16.06 (~v109(constB45)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5755, 235, 5749])).
% 24.72/16.06 tff(5757,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v94(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v94(constB46)))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5758,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB45, constB46)) | v104(constB46) | (~v94(constB46)))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5759,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB45, constB46)) | v104(constB46) | (~v94(constB46))),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 24.72/16.06 tff(5760,plain,
% 24.72/16.06 (v104(constB46) | (~v94(constB46))),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5759, 2887, 5710])).
% 24.72/16.06 tff(5761,plain,
% 24.72/16.06 (~v94(constB46)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5760, 5716])).
% 24.72/16.06 tff(5762,assumption,(~v84(constB45, bitIndex1)), introduced(assumption)).
% 24.72/16.06 tff(5763,assumption,(~v84(constB46, bitIndex2)), introduced(assumption)).
% 24.72/16.06 tff(5764,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v94(constB46) | v84(constB46, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v94(constB46) | v84(constB46, bitIndex2))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5765,plain,
% 24.72/16.06 (((~nextState(constB45, constB46)) | (~v84(constB45, bitIndex2)) | v94(constB46) | v84(constB46, bitIndex2)) <=> ((~v84(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v94(constB46) | v84(constB46, bitIndex2))),
% 24.72/16.06 inference(rewrite,[status(thm)],[])).
% 24.72/16.06 tff(5766,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v84(constB45, bitIndex2)) | v94(constB46) | v84(constB46, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v94(constB46) | v84(constB46, bitIndex2)))),
% 24.72/16.06 inference(monotonicity,[status(thm)],[5765])).
% 24.72/16.06 tff(5767,plain,
% 24.72/16.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v84(constB45, bitIndex2)) | v94(constB46) | v84(constB46, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v94(constB46) | v84(constB46, bitIndex2))),
% 24.72/16.06 inference(transitivity,[status(thm)],[5766, 5764])).
% 24.72/16.06 tff(5768,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB45, constB46)) | (~v84(constB45, bitIndex2)) | v94(constB46) | v84(constB46, bitIndex2))),
% 24.72/16.06 inference(quant_inst,[status(thm)],[])).
% 24.72/16.06 tff(5769,plain,
% 24.72/16.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB45, bitIndex2)) | (~nextState(constB45, constB46)) | v94(constB46) | v84(constB46, bitIndex2)),
% 24.72/16.06 inference(modus_ponens,[status(thm)],[5768, 5767])).
% 24.72/16.06 tff(5770,plain,
% 24.72/16.06 ((~v84(constB45, bitIndex2)) | v94(constB46) | v84(constB46, bitIndex2)),
% 24.72/16.06 inference(unit_resolution,[status(thm)],[5769, 1353, 5710])).
% 24.72/16.06 tff(5771,plain,
% 24.72/16.06 (~v84(constB45, bitIndex2)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5770, 5761, 5763])).
% 24.72/16.07 tff(5772,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB45)) | v109(constB45))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB45)) | v109(constB45))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5773,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB45)) | v109(constB45))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5774,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB45)) | v109(constB45)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5773, 5772])).
% 24.72/16.07 tff(5775,plain,
% 24.72/16.07 (~v110(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5774, 221, 5756])).
% 24.72/16.07 tff(5776,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB45) | (~v111(constB45)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB45) | (~v111(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5777,plain,
% 24.72/16.07 (((~v111(constB45)) | v110(constB45)) <=> (v110(constB45) | (~v111(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5778,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB45)) | v110(constB45))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB45) | (~v111(constB45))))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5777])).
% 24.72/16.07 tff(5779,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB45)) | v110(constB45))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB45) | (~v111(constB45)))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5778, 5776])).
% 24.72/16.07 tff(5780,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB45)) | v110(constB45))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5781,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB45) | (~v111(constB45))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5780, 5779])).
% 24.72/16.07 tff(5782,plain,
% 24.72/16.07 (~v111(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5781, 207, 5775])).
% 24.72/16.07 tff(5783,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB45) | (~v112(constB45)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB45) | (~v112(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5784,plain,
% 24.72/16.07 (((~v112(constB45)) | v111(constB45)) <=> (v111(constB45) | (~v112(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5785,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB45)) | v111(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB45) | (~v112(constB45))))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5784])).
% 24.72/16.07 tff(5786,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB45)) | v111(constB45))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB45) | (~v112(constB45)))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5785, 5783])).
% 24.72/16.07 tff(5787,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB45)) | v111(constB45))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5788,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB45) | (~v112(constB45))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 24.72/16.07 tff(5789,plain,
% 24.72/16.07 (~v112(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5788, 193, 5782])).
% 24.72/16.07 tff(5790,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB45) | (~v113(constB45)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB45) | (~v113(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5791,plain,
% 24.72/16.07 (((~v113(constB45)) | v112(constB45)) <=> (v112(constB45) | (~v113(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5792,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB45) | (~v113(constB45))))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5791])).
% 24.72/16.07 tff(5793,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB45)) | v112(constB45))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB45) | (~v113(constB45)))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5792, 5790])).
% 24.72/16.07 tff(5794,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB45)) | v112(constB45))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5795,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB45) | (~v113(constB45))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5794, 5793])).
% 24.72/16.07 tff(5796,plain,
% 24.72/16.07 (~v113(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5795, 182, 5789])).
% 24.72/16.07 tff(5797,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB45) | (~v145(constB45)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB45) | (~v145(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5798,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB45) | (~v145(constB45)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5799,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB45) | (~v145(constB45))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5798, 5797])).
% 24.72/16.07 tff(5800,plain,
% 24.72/16.07 (~v145(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5799, 677, 5789])).
% 24.72/16.07 tff(5801,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v145(constB45))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v145(constB45))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5802,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v145(constB45))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5803,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v145(constB45)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5802, 5801])).
% 24.72/16.07 tff(5804,plain,
% 24.72/16.07 ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex2) | v145(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5803, 614, 5762])).
% 24.72/16.07 tff(5805,plain,
% 24.72/16.07 (~v84(constB45, bitIndex0)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5804, 5800, 5771])).
% 24.72/16.07 tff(5806,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v113(constB45))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v113(constB45))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5807,plain,
% 24.72/16.07 ((v84(constB45, bitIndex0) | v113(constB45) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2)) <=> (v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v113(constB45))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5808,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB45, bitIndex0) | v113(constB45) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v113(constB45)))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5807])).
% 24.72/16.07 tff(5809,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB45, bitIndex0) | v113(constB45) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v113(constB45))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5808, 5806])).
% 24.72/16.07 tff(5810,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB45, bitIndex0) | v113(constB45) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5811,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | v113(constB45)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5810, 5809])).
% 24.72/16.07 tff(5812,plain,
% 24.72/16.07 (v84(constB45, bitIndex0) | v84(constB45, bitIndex2) | v113(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5811, 168, 5762])).
% 24.72/16.07 tff(5813,plain,
% 24.72/16.07 ($false),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5812, 5805, 5796, 5771])).
% 24.72/16.07 tff(5814,plain,(v104(constB46) | v84(constB45, bitIndex1) | v84(constB46, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.72/16.07 tff(5815,plain,
% 24.72/16.07 (v84(constB46, bitIndex2)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5814, 5716, 5762])).
% 24.72/16.07 tff(5816,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v94(constB46) | (~v84(constB46, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v94(constB46) | (~v84(constB46, bitIndex2)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5817,plain,
% 24.72/16.07 (((~nextState(constB45, constB46)) | v84(constB45, bitIndex2) | v94(constB46) | (~v84(constB46, bitIndex2))) <=> (v84(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v94(constB46) | (~v84(constB46, bitIndex2)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5818,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v84(constB45, bitIndex2) | v94(constB46) | (~v84(constB46, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v94(constB46) | (~v84(constB46, bitIndex2))))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5817])).
% 24.72/16.07 tff(5819,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v84(constB45, bitIndex2) | v94(constB46) | (~v84(constB46, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v94(constB46) | (~v84(constB46, bitIndex2)))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5818, 5816])).
% 24.72/16.07 tff(5820,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB45, constB46)) | v84(constB45, bitIndex2) | v94(constB46) | (~v84(constB46, bitIndex2)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5821,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB45, bitIndex2) | (~nextState(constB45, constB46)) | v94(constB46) | (~v84(constB46, bitIndex2))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 24.72/16.07 tff(5822,plain,
% 24.72/16.07 (v84(constB45, bitIndex2) | v94(constB46) | (~v84(constB46, bitIndex2))),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5821, 105, 5710])).
% 24.72/16.07 tff(5823,plain,
% 24.72/16.07 (v84(constB45, bitIndex2)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5822, 5815, 5761])).
% 24.72/16.07 tff(5824,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v118(constB45)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v118(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5825,plain,
% 24.72/16.07 (((~v118(constB45)) | v108(constB45)) <=> (v108(constB45) | (~v118(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5826,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB45) | (~v118(constB45))))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5825])).
% 24.72/16.07 tff(5827,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB45)) | v108(constB45))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v118(constB45)))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5826, 5824])).
% 24.72/16.07 tff(5828,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB45)) | v108(constB45))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5829,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB45) | (~v118(constB45))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 24.72/16.07 tff(5830,plain,
% 24.72/16.07 (~v118(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5829, 1688, 5749])).
% 24.72/16.07 tff(5831,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v118(constB45))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v118(constB45))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5832,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v118(constB45))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5833,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB45, bitIndex0)) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)) | v118(constB45)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 24.72/16.07 tff(5834,plain,
% 24.72/16.07 ((~v84(constB45, bitIndex0)) | (~v84(constB45, bitIndex2)) | v118(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5833, 1677, 5762])).
% 24.72/16.07 tff(5835,plain,
% 24.72/16.07 (~v84(constB45, bitIndex0)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5834, 5830, 5823])).
% 24.72/16.07 tff(5836,plain,
% 24.72/16.07 (v84(constB45, bitIndex0) | (~v84(constB45, bitIndex2)) | v172(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5693, 1454, 5762])).
% 24.72/16.07 tff(5837,plain,
% 24.72/16.07 (v172(constB45)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5836, 5835, 5823])).
% 24.72/16.07 tff(5838,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB45) | (~v172(constB45)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB45) | (~v172(constB45)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5839,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB45) | (~v172(constB45)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5840,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB45) | (~v172(constB45))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 24.72/16.07 tff(5841,plain,
% 24.72/16.07 ($false),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5840, 1468, 5837, 5756])).
% 24.72/16.07 tff(5842,plain,(v104(constB46) | v84(constB45, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.72/16.07 tff(5843,plain,
% 24.72/16.07 (v104(constB46)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5842, 5656])).
% 24.72/16.07 tff(5844,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5845,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5846,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB45) | (~nextState(constB45, constB46)) | (~v98(constB46))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5845, 5844])).
% 24.72/16.07 tff(5847,plain,
% 24.72/16.07 (~v98(constB46)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5846, 313, 5710, 5598])).
% 24.72/16.07 tff(5848,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5849,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB45, constB46)) | v96(constB46) | v98(constB46))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5850,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB45, constB46)) | v96(constB46) | v98(constB46)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5849, 5848])).
% 24.72/16.07 tff(5851,plain,
% 24.72/16.07 (v96(constB46) | v98(constB46)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5850, 327, 5710])).
% 24.72/16.07 tff(5852,plain,
% 24.72/16.07 (v96(constB46)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5851, 5847])).
% 24.72/16.07 tff(5853,plain,
% 24.72/16.07 (v1(constB46) <=> v1(constB46)),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5854,axiom,(v1(constB46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_46_1')).
% 24.72/16.07 tff(5855,plain,
% 24.72/16.07 (v1(constB46)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5854, 5853])).
% 24.72/16.07 tff(5856,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5857,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5858,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB45, constB46)) | v95(constB46) | (~v96(constB46)) | (~v1(constB46))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5857, 5856])).
% 24.72/16.07 tff(5859,plain,
% 24.72/16.07 (v95(constB46) | (~v96(constB46))),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5858, 345, 5710, 5855])).
% 24.72/16.07 tff(5860,plain,
% 24.72/16.07 (v95(constB46)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5859, 5852])).
% 24.72/16.07 tff(5861,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5862,plain,
% 24.72/16.07 (((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46)) <=> ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5863,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46))))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5862])).
% 24.72/16.07 tff(5864,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46)))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5863, 5861])).
% 24.72/16.07 tff(5865,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB45, constB46)) | (~v95(constB46)) | (~v104(constB46)) | v94(constB46))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5866,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB45, constB46)) | v94(constB46) | (~v95(constB46)) | (~v104(constB46))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 24.72/16.07 tff(5867,plain,
% 24.72/16.07 (v94(constB46) | (~v95(constB46)) | (~v104(constB46))),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5866, 360, 5710])).
% 24.72/16.07 tff(5868,plain,
% 24.72/16.07 (v94(constB46) | (~v104(constB46))),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5867, 5860])).
% 24.72/16.07 tff(5869,plain,
% 24.72/16.07 (v94(constB46)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5868, 5843])).
% 24.72/16.07 tff(5870,plain,
% 24.72/16.07 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5871,plain,
% 24.72/16.07 ((v84(constB46, bitIndex2) | (~v94(constB46)) | (~v123(constB46, bitIndex2))) <=> (v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5872,plain,
% 24.72/16.07 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v94(constB46)) | (~v123(constB46, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46))))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5871])).
% 24.72/16.07 tff(5873,plain,
% 24.72/16.07 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v94(constB46)) | (~v123(constB46, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46)))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5872, 5870])).
% 24.72/16.07 tff(5874,plain,
% 24.72/16.07 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB46, bitIndex2) | (~v94(constB46)) | (~v123(constB46, bitIndex2)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5875,plain,
% 24.72/16.07 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2)) | (~v94(constB46))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5874, 5873])).
% 24.72/16.07 tff(5876,plain,
% 24.72/16.07 (v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2))),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5875, 1317, 5869])).
% 24.72/16.07 tff(5877,plain,
% 24.72/16.07 (v84(constB46, bitIndex2)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5876, 5715])).
% 24.72/16.07 tff(5878,plain,
% 24.72/16.07 ((~v1(constB47)) <=> (~v1(constB47))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5879,axiom,(~v1(constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_47_1_1')).
% 24.72/16.07 tff(5880,plain,
% 24.72/16.07 (~v1(constB47)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5879, 5878])).
% 24.72/16.07 tff(5881,plain,
% 24.72/16.07 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5882,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_46_1')).
% 24.72/16.07 tff(5883,plain,
% 24.72/16.07 (nextState(constB46, constB47)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5882, 5881])).
% 24.72/16.07 tff(5884,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5885,plain,
% 24.72/16.07 (((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47)) <=> (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5886,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47))))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5885])).
% 24.72/16.07 tff(5887,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47)))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5886, 5884])).
% 24.72/16.07 tff(5888,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB46, constB47)) | (~v95(constB47)) | v1(constB47))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5889,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB47) | (~nextState(constB46, constB47)) | (~v95(constB47))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 24.72/16.07 tff(5890,plain,
% 24.72/16.07 (~v95(constB47)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5889, 73, 5883, 5880])).
% 24.72/16.07 tff(5891,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5892,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5893,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB46, constB47)) | v95(constB47) | (~v94(constB47))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5892, 5891])).
% 24.72/16.07 tff(5894,plain,
% 24.72/16.07 (v95(constB47) | (~v94(constB47))),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5893, 90, 5883])).
% 24.72/16.07 tff(5895,plain,
% 24.72/16.07 (~v94(constB47)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5894, 5890])).
% 24.72/16.07 tff(5896,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5897,plain,
% 24.72/16.07 (((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2)) <=> ((~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5898,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2)))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5897])).
% 24.72/16.07 tff(5899,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5898, 5896])).
% 24.72/16.07 tff(5900,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5901,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB46, bitIndex2)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex2)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 24.72/16.07 tff(5902,plain,
% 24.72/16.07 ((~v84(constB46, bitIndex2)) | v94(constB47) | v84(constB47, bitIndex2)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5901, 1353, 5883])).
% 24.72/16.07 tff(5903,plain,
% 24.72/16.07 ((~v84(constB46, bitIndex2)) | v84(constB47, bitIndex2)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5902, 5895])).
% 24.72/16.07 tff(5904,plain,
% 24.72/16.07 (v84(constB47, bitIndex2)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5903, 5877])).
% 24.72/16.07 tff(5905,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB45)) | (~v124(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB45)) | (~v124(constB45, bitIndex1)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5906,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB45)) | (~v124(constB45, bitIndex1)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5907,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB45)) | (~v124(constB45, bitIndex1))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5906, 5905])).
% 24.72/16.07 tff(5908,plain,
% 24.72/16.07 (~v124(constB45, bitIndex1)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5907, 1595, 5694])).
% 24.72/16.07 tff(5909,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5910,plain,
% 24.72/16.07 ((v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1))) <=> ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5911,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1)))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5910])).
% 24.72/16.07 tff(5912,plain,
% 24.72/16.07 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5911, 5909])).
% 24.72/16.07 tff(5913,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB45) | v124(constB45, bitIndex1) | (~v121(constB45, bitIndex1)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5914,plain,
% 24.72/16.07 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB45, bitIndex1)) | v26(constB45) | v124(constB45, bitIndex1)),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5913, 5912])).
% 24.72/16.07 tff(5915,plain,
% 24.72/16.07 ((~v121(constB45, bitIndex1)) | v124(constB45, bitIndex1)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5914, 476, 5702])).
% 24.72/16.07 tff(5916,plain,
% 24.72/16.07 (~v121(constB45, bitIndex1)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5915, 5908])).
% 24.72/16.07 tff(5917,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5918,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1)))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5919,plain,
% 24.72/16.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB45, constB46)) | v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5918, 5917])).
% 24.72/16.07 tff(5920,plain,
% 24.72/16.07 (v121(constB45, bitIndex1) | (~v123(constB46, bitIndex1))),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5919, 494, 5710])).
% 24.72/16.07 tff(5921,plain,
% 24.72/16.07 (~v123(constB46, bitIndex1)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5920, 5916])).
% 24.72/16.07 tff(5922,plain,
% 24.72/16.07 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5923,plain,
% 24.72/16.07 (((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1)) <=> ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5924,plain,
% 24.72/16.07 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46))))),
% 24.72/16.07 inference(monotonicity,[status(thm)],[5923])).
% 24.72/16.07 tff(5925,plain,
% 24.72/16.07 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46)))),
% 24.72/16.07 inference(transitivity,[status(thm)],[5924, 5922])).
% 24.72/16.07 tff(5926,plain,
% 24.72/16.07 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB46, bitIndex1)) | (~v94(constB46)) | v123(constB46, bitIndex1))),
% 24.72/16.07 inference(quant_inst,[status(thm)],[])).
% 24.72/16.07 tff(5927,plain,
% 24.72/16.07 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1) | (~v94(constB46))),
% 24.72/16.07 inference(modus_ponens,[status(thm)],[5926, 5925])).
% 24.72/16.07 tff(5928,plain,
% 24.72/16.07 ((~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5927, 509, 5869])).
% 24.72/16.07 tff(5929,plain,
% 24.72/16.07 (~v84(constB46, bitIndex1)),
% 24.72/16.07 inference(unit_resolution,[status(thm)],[5928, 5921])).
% 24.72/16.07 tff(5930,plain,
% 24.72/16.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 24.72/16.07 inference(rewrite,[status(thm)],[])).
% 24.72/16.07 tff(5931,plain,
% 24.72/16.08 (((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1))) <=> (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5932,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1))))),
% 24.72/16.08 inference(monotonicity,[status(thm)],[5931])).
% 24.72/16.08 tff(5933,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 24.72/16.08 inference(transitivity,[status(thm)],[5932, 5930])).
% 24.72/16.08 tff(5934,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB46, constB47)) | v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1)))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5935,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB46, bitIndex1) | (~nextState(constB46, constB47)) | v94(constB47) | (~v84(constB47, bitIndex1))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 24.72/16.08 tff(5936,plain,
% 24.72/16.08 (v84(constB46, bitIndex1) | v94(constB47) | (~v84(constB47, bitIndex1))),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5935, 126, 5883])).
% 24.72/16.08 tff(5937,plain,
% 24.72/16.08 (v84(constB46, bitIndex1) | (~v84(constB47, bitIndex1))),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5936, 5895])).
% 24.72/16.08 tff(5938,plain,
% 24.72/16.08 (~v84(constB47, bitIndex1)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5937, 5929])).
% 24.72/16.08 tff(5939,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB45)) | v124(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB45)) | v124(constB45, bitIndex0))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5940,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB45)) | v124(constB45, bitIndex0))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5941,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB45)) | v124(constB45, bitIndex0)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5940, 5939])).
% 24.72/16.08 tff(5942,plain,
% 24.72/16.08 (v124(constB45, bitIndex0)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5941, 1636, 5694])).
% 24.72/16.08 tff(5943,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5944,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5945,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB45) | (~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 24.72/16.08 tff(5946,plain,
% 24.72/16.08 ((~v124(constB45, bitIndex0)) | v121(constB45, bitIndex0)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5945, 547, 5702])).
% 24.72/16.08 tff(5947,plain,
% 24.72/16.08 (v121(constB45, bitIndex0)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5946, 5942])).
% 24.72/16.08 tff(5948,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5949,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5950,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB45, constB46)) | (~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 24.72/16.08 tff(5951,plain,
% 24.72/16.08 ((~v121(constB45, bitIndex0)) | v123(constB46, bitIndex0)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5950, 562, 5710])).
% 24.72/16.08 tff(5952,plain,
% 24.72/16.08 (v123(constB46, bitIndex0)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5951, 5947])).
% 24.72/16.08 tff(5953,plain,
% 24.72/16.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5954,plain,
% 24.72/16.08 ((v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0))) <=> (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5955,plain,
% 24.72/16.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46))))),
% 24.72/16.08 inference(monotonicity,[status(thm)],[5954])).
% 24.72/16.08 tff(5956,plain,
% 24.72/16.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46)))),
% 24.72/16.08 inference(transitivity,[status(thm)],[5955, 5953])).
% 24.72/16.08 tff(5957,plain,
% 24.72/16.08 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB46, bitIndex0) | (~v94(constB46)) | (~v123(constB46, bitIndex0)))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5958,plain,
% 24.72/16.08 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0)) | (~v94(constB46))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5957, 5956])).
% 24.72/16.08 tff(5959,plain,
% 24.72/16.08 (v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0))),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5958, 577, 5869])).
% 24.72/16.08 tff(5960,plain,
% 24.72/16.08 (v84(constB46, bitIndex0)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5959, 5952])).
% 24.72/16.08 tff(5961,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5962,plain,
% 24.72/16.08 (((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0)) <=> ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5963,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0)))),
% 24.72/16.08 inference(monotonicity,[status(thm)],[5962])).
% 24.72/16.08 tff(5964,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0))),
% 24.72/16.08 inference(transitivity,[status(thm)],[5963, 5961])).
% 24.72/16.08 tff(5965,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB46, constB47)) | (~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5966,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB46, bitIndex0)) | (~nextState(constB46, constB47)) | v94(constB47) | v84(constB47, bitIndex0)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5965, 5964])).
% 24.72/16.08 tff(5967,plain,
% 24.72/16.08 ((~v84(constB46, bitIndex0)) | v94(constB47) | v84(constB47, bitIndex0)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5966, 595, 5883])).
% 24.72/16.08 tff(5968,plain,
% 24.72/16.08 ((~v84(constB46, bitIndex0)) | v84(constB47, bitIndex0)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5967, 5895])).
% 24.72/16.08 tff(5969,plain,
% 24.72/16.08 (v84(constB47, bitIndex0)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5968, 5960])).
% 24.72/16.08 tff(5970,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex2)) | v118(constB47))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex2)) | v118(constB47))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5971,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex2)) | v118(constB47))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5972,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB47, bitIndex0)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex2)) | v118(constB47)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 24.72/16.08 tff(5973,plain,
% 24.72/16.08 (v118(constB47)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5972, 1677, 5969, 5938, 5904])).
% 24.72/16.08 tff(5974,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB47)) | v108(constB47))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB47)) | v108(constB47))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5975,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB47)) | v108(constB47))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5976,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB47)) | v108(constB47)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 24.72/16.08 tff(5977,plain,
% 24.72/16.08 (v108(constB47)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5976, 1688, 5973])).
% 24.72/16.08 tff(5978,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB47) | (~v108(constB47)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB47) | (~v108(constB47)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5979,plain,
% 24.72/16.08 (((~v108(constB47)) | v107(constB47)) <=> (v107(constB47) | (~v108(constB47)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5980,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB47)) | v107(constB47))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB47) | (~v108(constB47))))),
% 24.72/16.08 inference(monotonicity,[status(thm)],[5979])).
% 24.72/16.08 tff(5981,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB47)) | v107(constB47))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB47) | (~v108(constB47)))),
% 24.72/16.08 inference(transitivity,[status(thm)],[5980, 5978])).
% 24.72/16.08 tff(5982,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB47)) | v107(constB47))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5983,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB47) | (~v108(constB47))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5982, 5981])).
% 24.72/16.08 tff(5984,plain,
% 24.72/16.08 (v107(constB47)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5983, 249, 5977])).
% 24.72/16.08 tff(5985,assumption,(v26(constB47)), introduced(assumption)).
% 24.72/16.08 tff(5986,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB47))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5987,plain,
% 24.72/16.08 ($false),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5986, 18, 5985])).
% 24.72/16.08 tff(5988,plain,(~v26(constB47)), inference(lemma,lemma(discharge,[]))).
% 24.72/16.08 tff(5989,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB47) | (~v107(constB47)) | v106(constB47))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB47) | (~v107(constB47)) | v106(constB47))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5990,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB47) | (~v107(constB47)) | v106(constB47))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5991,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB47) | (~v107(constB47)) | v106(constB47)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5990, 5989])).
% 24.72/16.08 tff(5992,plain,
% 24.72/16.08 ((~v107(constB47)) | v106(constB47)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5991, 263, 5988])).
% 24.72/16.08 tff(5993,plain,
% 24.72/16.08 (v106(constB47)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5992, 5984])).
% 24.72/16.08 tff(5994,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB47) | (~v106(constB47)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB47) | (~v106(constB47)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5995,plain,
% 24.72/16.08 (((~v106(constB47)) | v102(constB47)) <=> (v102(constB47) | (~v106(constB47)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(5996,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB47)) | v102(constB47))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB47) | (~v106(constB47))))),
% 24.72/16.08 inference(monotonicity,[status(thm)],[5995])).
% 24.72/16.08 tff(5997,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB47)) | v102(constB47))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB47) | (~v106(constB47)))),
% 24.72/16.08 inference(transitivity,[status(thm)],[5996, 5994])).
% 24.72/16.08 tff(5998,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB47)) | v102(constB47))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(5999,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB47) | (~v106(constB47))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 24.72/16.08 tff(6000,plain,
% 24.72/16.08 (v102(constB47)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[5999, 275, 5993])).
% 24.72/16.08 tff(6001,plain,
% 24.72/16.08 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6002,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_47_1')).
% 24.72/16.08 tff(6003,plain,
% 24.72/16.08 (nextState(constB47, constB48)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6002, 6001])).
% 24.72/16.08 tff(6004,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6005,plain,
% 24.72/16.08 (((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48)) <=> ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6006,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47))))),
% 24.72/16.08 inference(monotonicity,[status(thm)],[6005])).
% 24.72/16.08 tff(6007,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47)))),
% 24.72/16.08 inference(transitivity,[status(thm)],[6006, 6004])).
% 24.72/16.08 tff(6008,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB47, constB48)) | (~v102(constB47)) | v104(constB48))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6009,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB47, constB48)) | v104(constB48) | (~v102(constB47))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6008, 6007])).
% 24.72/16.08 tff(6010,plain,
% 24.72/16.08 (v104(constB48) | (~v102(constB47))),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6009, 295, 6003])).
% 24.72/16.08 tff(6011,plain,
% 24.72/16.08 (v104(constB48)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6010, 6000])).
% 24.72/16.08 tff(6012,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6013,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48)))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6014,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB47) | (~nextState(constB47, constB48)) | (~v98(constB48))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 24.72/16.08 tff(6015,plain,
% 24.72/16.08 (~v98(constB48)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6014, 313, 6003, 5880])).
% 24.72/16.08 tff(6016,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6017,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB47, constB48)) | v96(constB48) | v98(constB48))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6018,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB47, constB48)) | v96(constB48) | v98(constB48)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6017, 6016])).
% 24.72/16.08 tff(6019,plain,
% 24.72/16.08 (v96(constB48) | v98(constB48)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6018, 327, 6003])).
% 24.72/16.08 tff(6020,plain,
% 24.72/16.08 (v96(constB48)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6019, 6015])).
% 24.72/16.08 tff(6021,plain,
% 24.72/16.08 (v1(constB48) <=> v1(constB48)),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6022,axiom,(v1(constB48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_48_1')).
% 24.72/16.08 tff(6023,plain,
% 24.72/16.08 (v1(constB48)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6022, 6021])).
% 24.72/16.08 tff(6024,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6025,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48)))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6026,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB47, constB48)) | v95(constB48) | (~v96(constB48)) | (~v1(constB48))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6025, 6024])).
% 24.72/16.08 tff(6027,plain,
% 24.72/16.08 (v95(constB48) | (~v96(constB48))),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6026, 345, 6003, 6023])).
% 24.72/16.08 tff(6028,plain,
% 24.72/16.08 (v95(constB48)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6027, 6020])).
% 24.72/16.08 tff(6029,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6030,plain,
% 24.72/16.08 (((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48)) <=> ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6031,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48))))),
% 24.72/16.08 inference(monotonicity,[status(thm)],[6030])).
% 24.72/16.08 tff(6032,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48)))),
% 24.72/16.08 inference(transitivity,[status(thm)],[6031, 6029])).
% 24.72/16.08 tff(6033,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB47, constB48)) | (~v95(constB48)) | (~v104(constB48)) | v94(constB48))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6034,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB47, constB48)) | v94(constB48) | (~v95(constB48)) | (~v104(constB48))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6033, 6032])).
% 24.72/16.08 tff(6035,plain,
% 24.72/16.08 (v94(constB48) | (~v95(constB48)) | (~v104(constB48))),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6034, 360, 6003])).
% 24.72/16.08 tff(6036,plain,
% 24.72/16.08 (v94(constB48) | (~v104(constB48))),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6035, 6028])).
% 24.72/16.08 tff(6037,plain,
% 24.72/16.08 (v94(constB48)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6036, 6011])).
% 24.72/16.08 tff(6038,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB47)) | v124(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB47)) | v124(constB47, bitIndex2))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6039,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB47)) | v124(constB47, bitIndex2))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6040,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB47)) | v124(constB47, bitIndex2)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 24.72/16.08 tff(6041,plain,
% 24.72/16.08 (v124(constB47, bitIndex2)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6040, 1761, 5973])).
% 24.72/16.08 tff(6042,plain,
% 24.72/16.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB47) | (~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB47) | (~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6043,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB47) | (~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6044,plain,
% 24.72/16.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB47) | (~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 24.72/16.08 tff(6045,plain,
% 24.72/16.08 ((~v124(constB47, bitIndex2)) | v121(constB47, bitIndex2)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6044, 1287, 5988])).
% 24.72/16.08 tff(6046,plain,
% 24.72/16.08 (v121(constB47, bitIndex2)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6045, 6041])).
% 24.72/16.08 tff(6047,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6048,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6049,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 24.72/16.08 tff(6050,plain,
% 24.72/16.08 ((~v121(constB47, bitIndex2)) | v123(constB48, bitIndex2)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6049, 1302, 6003])).
% 24.72/16.08 tff(6051,plain,
% 24.72/16.08 (v123(constB48, bitIndex2)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6050, 6046])).
% 24.72/16.08 tff(6052,plain,
% 24.72/16.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6053,plain,
% 24.72/16.08 ((v84(constB48, bitIndex2) | (~v94(constB48)) | (~v123(constB48, bitIndex2))) <=> (v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6054,plain,
% 24.72/16.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v94(constB48)) | (~v123(constB48, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48))))),
% 24.72/16.08 inference(monotonicity,[status(thm)],[6053])).
% 24.72/16.08 tff(6055,plain,
% 24.72/16.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v94(constB48)) | (~v123(constB48, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48)))),
% 24.72/16.08 inference(transitivity,[status(thm)],[6054, 6052])).
% 24.72/16.08 tff(6056,plain,
% 24.72/16.08 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB48, bitIndex2) | (~v94(constB48)) | (~v123(constB48, bitIndex2)))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6057,plain,
% 24.72/16.08 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2)) | (~v94(constB48))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6056, 6055])).
% 24.72/16.08 tff(6058,plain,
% 24.72/16.08 (v84(constB48, bitIndex2) | (~v94(constB48))),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6057, 1317, 6051])).
% 24.72/16.08 tff(6059,plain,
% 24.72/16.08 (v84(constB48, bitIndex2)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6058, 6037])).
% 24.72/16.08 tff(6060,plain,
% 24.72/16.08 ((~v1(constB49)) <=> (~v1(constB49))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6061,axiom,(~v1(constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_49_1_1')).
% 24.72/16.08 tff(6062,plain,
% 24.72/16.08 (~v1(constB49)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 24.72/16.08 tff(6063,plain,
% 24.72/16.08 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6064,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_48_1')).
% 24.72/16.08 tff(6065,plain,
% 24.72/16.08 (nextState(constB48, constB49)),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6064, 6063])).
% 24.72/16.08 tff(6066,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6067,plain,
% 24.72/16.08 (((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49)) <=> (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6068,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49))))),
% 24.72/16.08 inference(monotonicity,[status(thm)],[6067])).
% 24.72/16.08 tff(6069,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49)))),
% 24.72/16.08 inference(transitivity,[status(thm)],[6068, 6066])).
% 24.72/16.08 tff(6070,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB48, constB49)) | (~v95(constB49)) | v1(constB49))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6071,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB49) | (~nextState(constB48, constB49)) | (~v95(constB49))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6070, 6069])).
% 24.72/16.08 tff(6072,plain,
% 24.72/16.08 (~v95(constB49)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6071, 73, 6065, 6062])).
% 24.72/16.08 tff(6073,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))),
% 24.72/16.08 inference(rewrite,[status(thm)],[])).
% 24.72/16.08 tff(6074,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49)))),
% 24.72/16.08 inference(quant_inst,[status(thm)],[])).
% 24.72/16.08 tff(6075,plain,
% 24.72/16.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB48, constB49)) | v95(constB49) | (~v94(constB49))),
% 24.72/16.08 inference(modus_ponens,[status(thm)],[6074, 6073])).
% 24.72/16.08 tff(6076,plain,
% 24.72/16.08 (v95(constB49) | (~v94(constB49))),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6075, 90, 6065])).
% 24.72/16.08 tff(6077,plain,
% 24.72/16.08 (~v94(constB49)),
% 24.72/16.08 inference(unit_resolution,[status(thm)],[6076, 6072])).
% 24.72/16.08 tff(6078,plain,
% 24.72/16.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6079,plain,
% 24.72/16.09 (((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2)) <=> ((~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6080,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2)))),
% 24.72/16.09 inference(monotonicity,[status(thm)],[6079])).
% 24.72/16.09 tff(6081,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2))),
% 24.72/16.09 inference(transitivity,[status(thm)],[6080, 6078])).
% 24.72/16.09 tff(6082,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6083,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB48, bitIndex2)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex2)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 24.72/16.09 tff(6084,plain,
% 24.72/16.09 ((~v84(constB48, bitIndex2)) | v94(constB49) | v84(constB49, bitIndex2)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6083, 1353, 6065])).
% 24.72/16.09 tff(6085,plain,
% 24.72/16.09 ((~v84(constB48, bitIndex2)) | v84(constB49, bitIndex2)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6084, 6077])).
% 24.72/16.09 tff(6086,plain,
% 24.72/16.09 (v84(constB49, bitIndex2)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6085, 6059])).
% 24.72/16.09 tff(6087,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB47)) | v124(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB47)) | v124(constB47, bitIndex1))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6088,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB47)) | v124(constB47, bitIndex1))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6089,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB47)) | v124(constB47, bitIndex1)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6088, 6087])).
% 24.72/16.09 tff(6090,plain,
% 24.72/16.09 (v124(constB47, bitIndex1)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6089, 1817, 5973])).
% 24.72/16.09 tff(6091,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6092,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6093,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB47) | (~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 24.72/16.09 tff(6094,plain,
% 24.72/16.09 ((~v124(constB47, bitIndex1)) | v121(constB47, bitIndex1)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6093, 812, 5988])).
% 24.72/16.09 tff(6095,plain,
% 24.72/16.09 (v121(constB47, bitIndex1)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6094, 6090])).
% 24.72/16.09 tff(6096,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6097,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6098,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB47, constB48)) | (~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6097, 6096])).
% 24.72/16.09 tff(6099,plain,
% 24.72/16.09 ((~v121(constB47, bitIndex1)) | v123(constB48, bitIndex1)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6098, 827, 6003])).
% 24.72/16.09 tff(6100,plain,
% 24.72/16.09 (v123(constB48, bitIndex1)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6099, 6095])).
% 24.72/16.09 tff(6101,plain,
% 24.72/16.09 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6102,plain,
% 24.72/16.09 ((v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1))) <=> (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6103,plain,
% 24.72/16.09 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48))))),
% 24.72/16.09 inference(monotonicity,[status(thm)],[6102])).
% 24.72/16.09 tff(6104,plain,
% 24.72/16.09 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48)))),
% 24.72/16.09 inference(transitivity,[status(thm)],[6103, 6101])).
% 24.72/16.09 tff(6105,plain,
% 24.72/16.09 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB48, bitIndex1) | (~v94(constB48)) | (~v123(constB48, bitIndex1)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6106,plain,
% 24.72/16.09 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1)) | (~v94(constB48))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 24.72/16.09 tff(6107,plain,
% 24.72/16.09 (v84(constB48, bitIndex1) | (~v94(constB48))),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6106, 842, 6100])).
% 24.72/16.09 tff(6108,plain,
% 24.72/16.09 (v84(constB48, bitIndex1)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6107, 6037])).
% 24.72/16.09 tff(6109,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6110,plain,
% 24.72/16.09 (((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1)) <=> ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6111,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1)))),
% 24.72/16.09 inference(monotonicity,[status(thm)],[6110])).
% 24.72/16.09 tff(6112,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1))),
% 24.72/16.09 inference(transitivity,[status(thm)],[6111, 6109])).
% 24.72/16.09 tff(6113,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB48, constB49)) | (~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6114,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB48, bitIndex1)) | (~nextState(constB48, constB49)) | v94(constB49) | v84(constB49, bitIndex1)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 24.72/16.09 tff(6115,plain,
% 24.72/16.09 ((~v84(constB48, bitIndex1)) | v94(constB49) | v84(constB49, bitIndex1)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6114, 860, 6065])).
% 24.72/16.09 tff(6116,plain,
% 24.72/16.09 ((~v84(constB48, bitIndex1)) | v84(constB49, bitIndex1)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6115, 6077])).
% 24.72/16.09 tff(6117,plain,
% 24.72/16.09 (v84(constB49, bitIndex1)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6116, 6108])).
% 24.72/16.09 tff(6118,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB47)) | (~v124(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB47)) | (~v124(constB47, bitIndex0)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6119,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB47)) | (~v124(constB47, bitIndex0)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6120,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB47)) | (~v124(constB47, bitIndex0))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6119, 6118])).
% 24.72/16.09 tff(6121,plain,
% 24.72/16.09 (~v124(constB47, bitIndex0)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6120, 1855, 5973])).
% 24.72/16.09 tff(6122,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6123,plain,
% 24.72/16.09 ((v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0))) <=> ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6124,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0)))),
% 24.72/16.09 inference(monotonicity,[status(thm)],[6123])).
% 24.72/16.09 tff(6125,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0))),
% 24.72/16.09 inference(transitivity,[status(thm)],[6124, 6122])).
% 24.72/16.09 tff(6126,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB47) | v124(constB47, bitIndex0) | (~v121(constB47, bitIndex0)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6127,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB47, bitIndex0)) | v26(constB47) | v124(constB47, bitIndex0)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 24.72/16.09 tff(6128,plain,
% 24.72/16.09 ((~v121(constB47, bitIndex0)) | v124(constB47, bitIndex0)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6127, 890, 5988])).
% 24.72/16.09 tff(6129,plain,
% 24.72/16.09 (~v121(constB47, bitIndex0)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6128, 6121])).
% 24.72/16.09 tff(6130,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6131,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6132,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB47, constB48)) | v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6131, 6130])).
% 24.72/16.09 tff(6133,plain,
% 24.72/16.09 (v121(constB47, bitIndex0) | (~v123(constB48, bitIndex0))),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6132, 908, 6003])).
% 24.72/16.09 tff(6134,plain,
% 24.72/16.09 (~v123(constB48, bitIndex0)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6133, 6129])).
% 24.72/16.09 tff(6135,plain,
% 24.72/16.09 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6136,plain,
% 24.72/16.09 (((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0)) <=> ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6137,plain,
% 24.72/16.09 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48))))),
% 24.72/16.09 inference(monotonicity,[status(thm)],[6136])).
% 24.72/16.09 tff(6138,plain,
% 24.72/16.09 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48)))),
% 24.72/16.09 inference(transitivity,[status(thm)],[6137, 6135])).
% 24.72/16.09 tff(6139,plain,
% 24.72/16.09 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB48, bitIndex0)) | (~v94(constB48)) | v123(constB48, bitIndex0))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6140,plain,
% 24.72/16.09 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0) | (~v94(constB48))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6139, 6138])).
% 24.72/16.09 tff(6141,plain,
% 24.72/16.09 ((~v84(constB48, bitIndex0)) | (~v94(constB48))),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6140, 923, 6134])).
% 24.72/16.09 tff(6142,plain,
% 24.72/16.09 (~v84(constB48, bitIndex0)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6141, 6037])).
% 24.72/16.09 tff(6143,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6144,plain,
% 24.72/16.09 (((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0))) <=> (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6145,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0))))),
% 24.72/16.09 inference(monotonicity,[status(thm)],[6144])).
% 24.72/16.09 tff(6146,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 24.72/16.09 inference(transitivity,[status(thm)],[6145, 6143])).
% 24.72/16.09 tff(6147,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB48, constB49)) | v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6148,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB48, bitIndex0) | (~nextState(constB48, constB49)) | v94(constB49) | (~v84(constB49, bitIndex0))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6147, 6146])).
% 24.72/16.09 tff(6149,plain,
% 24.72/16.09 (v84(constB48, bitIndex0) | v94(constB49) | (~v84(constB49, bitIndex0))),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6148, 147, 6065])).
% 24.72/16.09 tff(6150,plain,
% 24.72/16.09 (v84(constB48, bitIndex0) | (~v84(constB49, bitIndex0))),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6149, 6077])).
% 24.72/16.09 tff(6151,plain,
% 24.72/16.09 (~v84(constB49, bitIndex0)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6150, 6142])).
% 24.72/16.09 tff(6152,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)) | v119(constB49))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)) | v119(constB49))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6153,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)) | v119(constB49))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6154,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)) | v119(constB49)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6153, 6152])).
% 24.72/16.09 tff(6155,plain,
% 24.72/16.09 (v119(constB49)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6154, 1899, 6151, 6117, 6086])).
% 24.72/16.09 tff(6156,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB49)) | v107(constB49))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB49)) | v107(constB49))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6157,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB49)) | v107(constB49))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6158,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB49)) | v107(constB49)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6157, 6156])).
% 24.72/16.09 tff(6159,plain,
% 24.72/16.09 (v107(constB49)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6158, 1910, 6155])).
% 24.72/16.09 tff(6160,assumption,(v26(constB49)), introduced(assumption)).
% 24.72/16.09 tff(6161,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB49))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6162,plain,
% 24.72/16.09 ($false),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6161, 18, 6160])).
% 24.72/16.09 tff(6163,plain,(~v26(constB49)), inference(lemma,lemma(discharge,[]))).
% 24.72/16.09 tff(6164,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB49) | (~v107(constB49)) | v106(constB49))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB49) | (~v107(constB49)) | v106(constB49))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6165,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB49) | (~v107(constB49)) | v106(constB49))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6166,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB49) | (~v107(constB49)) | v106(constB49)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6165, 6164])).
% 24.72/16.09 tff(6167,plain,
% 24.72/16.09 ((~v107(constB49)) | v106(constB49)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6166, 263, 6163])).
% 24.72/16.09 tff(6168,plain,
% 24.72/16.09 (v106(constB49)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6167, 6159])).
% 24.72/16.09 tff(6169,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB49) | (~v106(constB49)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB49) | (~v106(constB49)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6170,plain,
% 24.72/16.09 (((~v106(constB49)) | v102(constB49)) <=> (v102(constB49) | (~v106(constB49)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6171,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB49)) | v102(constB49))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB49) | (~v106(constB49))))),
% 24.72/16.09 inference(monotonicity,[status(thm)],[6170])).
% 24.72/16.09 tff(6172,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB49)) | v102(constB49))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB49) | (~v106(constB49)))),
% 24.72/16.09 inference(transitivity,[status(thm)],[6171, 6169])).
% 24.72/16.09 tff(6173,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB49)) | v102(constB49))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6174,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB49) | (~v106(constB49))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6173, 6172])).
% 24.72/16.09 tff(6175,plain,
% 24.72/16.09 (v102(constB49)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6174, 275, 6168])).
% 24.72/16.09 tff(6176,plain,
% 24.72/16.09 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6177,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_49_1')).
% 24.72/16.09 tff(6178,plain,
% 24.72/16.09 (nextState(constB49, constB50)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6177, 6176])).
% 24.72/16.09 tff(6179,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6180,plain,
% 24.72/16.09 (((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50)) <=> ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6181,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49))))),
% 24.72/16.09 inference(monotonicity,[status(thm)],[6180])).
% 24.72/16.09 tff(6182,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49)))),
% 24.72/16.09 inference(transitivity,[status(thm)],[6181, 6179])).
% 24.72/16.09 tff(6183,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB49, constB50)) | (~v102(constB49)) | v104(constB50))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6184,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB49, constB50)) | v104(constB50) | (~v102(constB49))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6183, 6182])).
% 24.72/16.09 tff(6185,plain,
% 24.72/16.09 (v104(constB50) | (~v102(constB49))),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6184, 295, 6178])).
% 24.72/16.09 tff(6186,plain,
% 24.72/16.09 (v104(constB50)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6185, 6175])).
% 24.72/16.09 tff(6187,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6188,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6189,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB49) | (~nextState(constB49, constB50)) | (~v98(constB50))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 24.72/16.09 tff(6190,plain,
% 24.72/16.09 (~v98(constB50)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6189, 313, 6178, 6062])).
% 24.72/16.09 tff(6191,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6192,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB49, constB50)) | v96(constB50) | v98(constB50))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6193,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB49, constB50)) | v96(constB50) | v98(constB50)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 24.72/16.09 tff(6194,plain,
% 24.72/16.09 (v96(constB50) | v98(constB50)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6193, 327, 6178])).
% 24.72/16.09 tff(6195,plain,
% 24.72/16.09 (v96(constB50)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6194, 6190])).
% 24.72/16.09 tff(6196,plain,
% 24.72/16.09 (v1(constB50) <=> v1(constB50)),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6197,axiom,(v1(constB50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_50_1')).
% 24.72/16.09 tff(6198,plain,
% 24.72/16.09 (v1(constB50)),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 24.72/16.09 tff(6199,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6200,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6201,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB49, constB50)) | v95(constB50) | (~v96(constB50)) | (~v1(constB50))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6200, 6199])).
% 24.72/16.09 tff(6202,plain,
% 24.72/16.09 (v95(constB50) | (~v96(constB50))),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6201, 345, 6178, 6198])).
% 24.72/16.09 tff(6203,plain,
% 24.72/16.09 (v95(constB50)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6202, 6195])).
% 24.72/16.09 tff(6204,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6205,plain,
% 24.72/16.09 (((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50)) <=> ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6206,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50))))),
% 24.72/16.09 inference(monotonicity,[status(thm)],[6205])).
% 24.72/16.09 tff(6207,plain,
% 24.72/16.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50)))),
% 24.72/16.09 inference(transitivity,[status(thm)],[6206, 6204])).
% 24.72/16.09 tff(6208,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB49, constB50)) | (~v95(constB50)) | (~v104(constB50)) | v94(constB50))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6209,plain,
% 24.72/16.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB49, constB50)) | v94(constB50) | (~v95(constB50)) | (~v104(constB50))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6208, 6207])).
% 24.72/16.09 tff(6210,plain,
% 24.72/16.09 (v94(constB50) | (~v95(constB50)) | (~v104(constB50))),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6209, 360, 6178])).
% 24.72/16.09 tff(6211,plain,
% 24.72/16.09 (v94(constB50) | (~v104(constB50))),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6210, 6203])).
% 24.72/16.09 tff(6212,plain,
% 24.72/16.09 (v94(constB50)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6211, 6186])).
% 24.72/16.09 tff(6213,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB49)) | (~v84(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB49)) | (~v84(constB49, bitIndex2)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6214,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB49)) | (~v84(constB49, bitIndex2)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6215,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB49)) | (~v84(constB49, bitIndex2))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 24.72/16.09 tff(6216,plain,
% 24.72/16.09 (~v115(constB49)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6215, 1974, 6086])).
% 24.72/16.09 tff(6217,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB49)) | (~v84(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB49)) | (~v84(constB49, bitIndex1)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6218,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB49)) | (~v84(constB49, bitIndex1)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6219,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB49)) | (~v84(constB49, bitIndex1))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 24.72/16.09 tff(6220,plain,
% 24.72/16.09 (~v113(constB49)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6219, 1996, 6117])).
% 24.72/16.09 tff(6221,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB49)) | (~v84(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB49)) | (~v84(constB49, bitIndex1)))),
% 24.72/16.09 inference(rewrite,[status(thm)],[])).
% 24.72/16.09 tff(6222,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB49)) | (~v84(constB49, bitIndex1)))),
% 24.72/16.09 inference(quant_inst,[status(thm)],[])).
% 24.72/16.09 tff(6223,plain,
% 24.72/16.09 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB49)) | (~v84(constB49, bitIndex1))),
% 24.72/16.09 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 24.72/16.09 tff(6224,plain,
% 24.72/16.09 (~v118(constB49)),
% 24.72/16.09 inference(unit_resolution,[status(thm)],[6223, 2007, 6117])).
% 24.72/16.09 tff(6225,plain,
% 24.72/16.09 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB49)) | (~v84(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB49)) | (~v84(constB49, bitIndex1)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6226,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB49)) | (~v84(constB49, bitIndex1)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6227,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB49)) | (~v84(constB49, bitIndex1))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6226, 6225])).
% 24.72/16.10 tff(6228,plain,
% 24.72/16.10 (~v172(constB49)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6227, 2029, 6117])).
% 24.72/16.10 tff(6229,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB49)) | (~v84(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB49)) | (~v84(constB49, bitIndex2)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6230,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB49)) | (~v84(constB49, bitIndex2)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6231,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB49)) | (~v84(constB49, bitIndex2))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6230, 6229])).
% 24.72/16.10 tff(6232,plain,
% 24.72/16.10 (~v116(constB49)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6231, 1985, 6086])).
% 24.72/16.10 tff(6233,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB49)) | (~v84(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB49)) | (~v84(constB49, bitIndex1)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6234,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB49)) | (~v84(constB49, bitIndex1)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6235,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB49)) | (~v84(constB49, bitIndex1))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6234, 6233])).
% 24.72/16.10 tff(6236,plain,
% 24.72/16.10 (~v145(constB49)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6235, 2018, 6117])).
% 24.72/16.10 tff(6237,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex2)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6238,plain,
% 24.72/16.10 ((v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex2))) <=> (v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex2)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6239,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex2))))),
% 24.72/16.10 inference(monotonicity,[status(thm)],[6238])).
% 24.72/16.10 tff(6240,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex2)))),
% 24.72/16.10 inference(transitivity,[status(thm)],[6239, 6237])).
% 24.72/16.10 tff(6241,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex2)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6242,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex2))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 24.72/16.10 tff(6243,plain,
% 24.72/16.10 (~v124(constB49, bitIndex2)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6242, 2043, 6236, 6232, 6228, 6224, 6220, 6216])).
% 24.72/16.10 tff(6244,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6245,plain,
% 24.72/16.10 ((v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2))) <=> ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6246,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2)))),
% 24.72/16.10 inference(monotonicity,[status(thm)],[6245])).
% 24.72/16.10 tff(6247,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2))),
% 24.72/16.10 inference(transitivity,[status(thm)],[6246, 6244])).
% 24.72/16.10 tff(6248,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB49) | v124(constB49, bitIndex2) | (~v121(constB49, bitIndex2)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6249,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB49, bitIndex2)) | v26(constB49) | v124(constB49, bitIndex2)),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6248, 6247])).
% 24.72/16.10 tff(6250,plain,
% 24.72/16.10 ((~v121(constB49, bitIndex2)) | v124(constB49, bitIndex2)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6249, 390, 6163])).
% 24.72/16.10 tff(6251,plain,
% 24.72/16.10 (~v121(constB49, bitIndex2)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6250, 6243])).
% 24.72/16.10 tff(6252,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6253,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6254,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 24.72/16.10 tff(6255,plain,
% 24.72/16.10 (v121(constB49, bitIndex2) | (~v123(constB50, bitIndex2))),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6254, 408, 6178])).
% 24.72/16.10 tff(6256,plain,
% 24.72/16.10 (~v123(constB50, bitIndex2)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6255, 6251])).
% 24.72/16.10 tff(6257,plain,
% 24.72/16.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6258,plain,
% 24.72/16.10 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6259,plain,
% 24.72/16.10 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2) | (~v94(constB50))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 24.72/16.10 tff(6260,plain,
% 24.72/16.10 ((~v84(constB50, bitIndex2)) | (~v94(constB50))),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6259, 423, 6256])).
% 24.72/16.10 tff(6261,plain,
% 24.72/16.10 (~v84(constB50, bitIndex2)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6260, 6212])).
% 24.72/16.10 tff(6262,plain,
% 24.72/16.10 ((~v1(constB51)) <=> (~v1(constB51))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6263,axiom,(~v1(constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_51_1_1')).
% 24.72/16.10 tff(6264,plain,
% 24.72/16.10 (~v1(constB51)),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6263, 6262])).
% 24.72/16.10 tff(6265,plain,
% 24.72/16.10 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6266,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_50_1')).
% 24.72/16.10 tff(6267,plain,
% 24.72/16.10 (nextState(constB50, constB51)),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6266, 6265])).
% 24.72/16.10 tff(6268,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6269,plain,
% 24.72/16.10 (((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51)) <=> (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6270,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51))))),
% 24.72/16.10 inference(monotonicity,[status(thm)],[6269])).
% 24.72/16.10 tff(6271,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51)))),
% 24.72/16.10 inference(transitivity,[status(thm)],[6270, 6268])).
% 24.72/16.10 tff(6272,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB50, constB51)) | (~v95(constB51)) | v1(constB51))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6273,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB51) | (~nextState(constB50, constB51)) | (~v95(constB51))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6272, 6271])).
% 24.72/16.10 tff(6274,plain,
% 24.72/16.10 (~v95(constB51)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6273, 73, 6267, 6264])).
% 24.72/16.10 tff(6275,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6276,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6277,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB50, constB51)) | v95(constB51) | (~v94(constB51))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6276, 6275])).
% 24.72/16.10 tff(6278,plain,
% 24.72/16.10 (v95(constB51) | (~v94(constB51))),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6277, 90, 6267])).
% 24.72/16.10 tff(6279,plain,
% 24.72/16.10 (~v94(constB51)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6278, 6274])).
% 24.72/16.10 tff(6280,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6281,plain,
% 24.72/16.10 (((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2))) <=> (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6282,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2))))),
% 24.72/16.10 inference(monotonicity,[status(thm)],[6281])).
% 24.72/16.10 tff(6283,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 24.72/16.10 inference(transitivity,[status(thm)],[6282, 6280])).
% 24.72/16.10 tff(6284,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6285,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB50, bitIndex2) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex2))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6284, 6283])).
% 24.72/16.10 tff(6286,plain,
% 24.72/16.10 (v84(constB50, bitIndex2) | v94(constB51) | (~v84(constB51, bitIndex2))),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6285, 105, 6267])).
% 24.72/16.10 tff(6287,plain,
% 24.72/16.10 (v84(constB50, bitIndex2) | (~v84(constB51, bitIndex2))),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6286, 6279])).
% 24.72/16.10 tff(6288,plain,
% 24.72/16.10 (~v84(constB51, bitIndex2)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6287, 6261])).
% 24.72/16.10 tff(6289,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex1)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6290,plain,
% 24.72/16.10 ((v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex1))) <=> (v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex1)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6291,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex1))))),
% 24.72/16.10 inference(monotonicity,[status(thm)],[6290])).
% 24.72/16.10 tff(6292,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex1)))),
% 24.72/16.10 inference(transitivity,[status(thm)],[6291, 6289])).
% 24.72/16.10 tff(6293,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | (~v124(constB49, bitIndex1)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6294,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | (~v124(constB49, bitIndex1))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 24.72/16.10 tff(6295,plain,
% 24.72/16.10 (~v124(constB49, bitIndex1)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6294, 2105, 6236, 6232, 6228, 6224, 6220, 6216])).
% 24.72/16.10 tff(6296,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6297,plain,
% 24.72/16.10 ((v26(constB49) | v124(constB49, bitIndex1) | (~v121(constB49, bitIndex1))) <=> ((~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6298,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB49) | v124(constB49, bitIndex1) | (~v121(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1)))),
% 24.72/16.10 inference(monotonicity,[status(thm)],[6297])).
% 24.72/16.10 tff(6299,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB49) | v124(constB49, bitIndex1) | (~v121(constB49, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1))),
% 24.72/16.10 inference(transitivity,[status(thm)],[6298, 6296])).
% 24.72/16.10 tff(6300,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB49) | v124(constB49, bitIndex1) | (~v121(constB49, bitIndex1)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6301,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB49, bitIndex1)) | v26(constB49) | v124(constB49, bitIndex1)),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6300, 6299])).
% 24.72/16.10 tff(6302,plain,
% 24.72/16.10 ((~v121(constB49, bitIndex1)) | v124(constB49, bitIndex1)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6301, 476, 6163])).
% 24.72/16.10 tff(6303,plain,
% 24.72/16.10 (~v121(constB49, bitIndex1)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6302, 6295])).
% 24.72/16.10 tff(6304,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6305,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB49, constB50)) | v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6306,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB49, constB50)) | v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 24.72/16.10 tff(6307,plain,
% 24.72/16.10 (v121(constB49, bitIndex1) | (~v123(constB50, bitIndex1))),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6306, 494, 6178])).
% 24.72/16.10 tff(6308,plain,
% 24.72/16.10 (~v123(constB50, bitIndex1)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6307, 6303])).
% 24.72/16.10 tff(6309,plain,
% 24.72/16.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6310,plain,
% 24.72/16.10 (((~v84(constB50, bitIndex1)) | (~v94(constB50)) | v123(constB50, bitIndex1)) <=> ((~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6311,plain,
% 24.72/16.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~v94(constB50)) | v123(constB50, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50))))),
% 24.72/16.10 inference(monotonicity,[status(thm)],[6310])).
% 24.72/16.10 tff(6312,plain,
% 24.72/16.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~v94(constB50)) | v123(constB50, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50)))),
% 24.72/16.10 inference(transitivity,[status(thm)],[6311, 6309])).
% 24.72/16.10 tff(6313,plain,
% 24.72/16.10 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB50, bitIndex1)) | (~v94(constB50)) | v123(constB50, bitIndex1))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6314,plain,
% 24.72/16.10 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1) | (~v94(constB50))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6313, 6312])).
% 24.72/16.10 tff(6315,plain,
% 24.72/16.10 ((~v84(constB50, bitIndex1)) | (~v94(constB50))),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6314, 509, 6308])).
% 24.72/16.10 tff(6316,plain,
% 24.72/16.10 (~v84(constB50, bitIndex1)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6315, 6212])).
% 24.72/16.10 tff(6317,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6318,plain,
% 24.72/16.10 (((~nextState(constB50, constB51)) | v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1))) <=> (v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1)))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6319,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1))))),
% 24.72/16.10 inference(monotonicity,[status(thm)],[6318])).
% 24.72/16.10 tff(6320,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1)))),
% 24.72/16.10 inference(transitivity,[status(thm)],[6319, 6317])).
% 24.72/16.10 tff(6321,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB50, constB51)) | v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1)))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6322,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB50, bitIndex1) | (~nextState(constB50, constB51)) | v94(constB51) | (~v84(constB51, bitIndex1))),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6321, 6320])).
% 24.72/16.10 tff(6323,plain,
% 24.72/16.10 (v84(constB50, bitIndex1) | v94(constB51) | (~v84(constB51, bitIndex1))),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6322, 126, 6267])).
% 24.72/16.10 tff(6324,plain,
% 24.72/16.10 (v84(constB50, bitIndex1) | (~v84(constB51, bitIndex1))),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6323, 6279])).
% 24.72/16.10 tff(6325,plain,
% 24.72/16.10 (~v84(constB51, bitIndex1)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6324, 6316])).
% 24.72/16.10 tff(6326,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | v124(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | v124(constB49, bitIndex0))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6327,plain,
% 24.72/16.10 ((v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | v124(constB49, bitIndex0)) <=> (v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | v124(constB49, bitIndex0))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6328,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | v124(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | v124(constB49, bitIndex0)))),
% 24.72/16.10 inference(monotonicity,[status(thm)],[6327])).
% 24.72/16.10 tff(6329,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | v124(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | v124(constB49, bitIndex0))),
% 24.72/16.10 inference(transitivity,[status(thm)],[6328, 6326])).
% 24.72/16.10 tff(6330,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB49) | v145(constB49) | v115(constB49) | v116(constB49) | v172(constB49) | v118(constB49) | v124(constB49, bitIndex0))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6331,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB49) | v172(constB49) | v118(constB49) | v115(constB49) | v113(constB49) | v116(constB49) | v124(constB49, bitIndex0)),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6330, 6329])).
% 24.72/16.10 tff(6332,plain,
% 24.72/16.10 (v124(constB49, bitIndex0)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6331, 2152, 6236, 6232, 6228, 6224, 6220, 6216])).
% 24.72/16.10 tff(6333,plain,
% 24.72/16.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6334,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0))),
% 24.72/16.10 inference(quant_inst,[status(thm)],[])).
% 24.72/16.10 tff(6335,plain,
% 24.72/16.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB49) | (~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0)),
% 24.72/16.10 inference(modus_ponens,[status(thm)],[6334, 6333])).
% 24.72/16.10 tff(6336,plain,
% 24.72/16.10 ((~v124(constB49, bitIndex0)) | v121(constB49, bitIndex0)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6335, 547, 6163])).
% 24.72/16.10 tff(6337,plain,
% 24.72/16.10 (v121(constB49, bitIndex0)),
% 24.72/16.10 inference(unit_resolution,[status(thm)],[6336, 6332])).
% 24.72/16.10 tff(6338,plain,
% 24.72/16.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))),
% 24.72/16.10 inference(rewrite,[status(thm)],[])).
% 24.72/16.10 tff(6339,plain,
% 24.72/16.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6340,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB49, constB50)) | (~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6339, 6338])).
% 24.79/16.11 tff(6341,plain,
% 24.79/16.11 ((~v121(constB49, bitIndex0)) | v123(constB50, bitIndex0)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6340, 562, 6178])).
% 24.79/16.11 tff(6342,plain,
% 24.79/16.11 (v123(constB50, bitIndex0)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6341, 6337])).
% 24.79/16.11 tff(6343,plain,
% 24.79/16.11 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6344,plain,
% 24.79/16.11 ((v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0))) <=> (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6345,plain,
% 24.79/16.11 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6344])).
% 24.79/16.11 tff(6346,plain,
% 24.79/16.11 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6345, 6343])).
% 24.79/16.11 tff(6347,plain,
% 24.79/16.11 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB50, bitIndex0) | (~v94(constB50)) | (~v123(constB50, bitIndex0)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6348,plain,
% 24.79/16.11 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0)) | (~v94(constB50))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6347, 6346])).
% 24.79/16.11 tff(6349,plain,
% 24.79/16.11 (v84(constB50, bitIndex0) | (~v94(constB50))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6348, 577, 6342])).
% 24.79/16.11 tff(6350,plain,
% 24.79/16.11 (v84(constB50, bitIndex0)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6349, 6212])).
% 24.79/16.11 tff(6351,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6352,plain,
% 24.79/16.11 (((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0)) <=> ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6353,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0)))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6352])).
% 24.79/16.11 tff(6354,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6353, 6351])).
% 24.79/16.11 tff(6355,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB50, constB51)) | (~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6356,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB50, bitIndex0)) | (~nextState(constB50, constB51)) | v94(constB51) | v84(constB51, bitIndex0)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6355, 6354])).
% 24.79/16.11 tff(6357,plain,
% 24.79/16.11 ((~v84(constB50, bitIndex0)) | v94(constB51) | v84(constB51, bitIndex0)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6356, 595, 6267])).
% 24.79/16.11 tff(6358,plain,
% 24.79/16.11 ((~v84(constB50, bitIndex0)) | v84(constB51, bitIndex0)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6357, 6279])).
% 24.79/16.11 tff(6359,plain,
% 24.79/16.11 (v84(constB51, bitIndex0)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6358, 6350])).
% 24.79/16.11 tff(6360,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB51, bitIndex0)) | v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | v145(constB51))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB51, bitIndex0)) | v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | v145(constB51))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6361,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB51, bitIndex0)) | v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | v145(constB51))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6362,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB51, bitIndex0)) | v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | v145(constB51)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6361, 6360])).
% 24.79/16.11 tff(6363,plain,
% 24.79/16.11 (v145(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6362, 614, 6359, 6325, 6288])).
% 24.79/16.11 tff(6364,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB51) | (~v145(constB51)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB51) | (~v145(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6365,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB51) | (~v145(constB51)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6366,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB51) | (~v145(constB51))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6365, 6364])).
% 24.79/16.11 tff(6367,plain,
% 24.79/16.11 (v112(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6366, 677, 6363])).
% 24.79/16.11 tff(6368,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB51) | (~v112(constB51)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB51) | (~v112(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6369,plain,
% 24.79/16.11 (((~v112(constB51)) | v111(constB51)) <=> (v111(constB51) | (~v112(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6370,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB51)) | v111(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB51) | (~v112(constB51))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6369])).
% 24.79/16.11 tff(6371,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB51)) | v111(constB51))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB51) | (~v112(constB51)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6370, 6368])).
% 24.79/16.11 tff(6372,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB51)) | v111(constB51))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6373,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB51) | (~v112(constB51))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 24.79/16.11 tff(6374,plain,
% 24.79/16.11 (v111(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6373, 193, 6367])).
% 24.79/16.11 tff(6375,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB51) | (~v111(constB51)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB51) | (~v111(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6376,plain,
% 24.79/16.11 (((~v111(constB51)) | v110(constB51)) <=> (v110(constB51) | (~v111(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6377,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB51)) | v110(constB51))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB51) | (~v111(constB51))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6376])).
% 24.79/16.11 tff(6378,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB51)) | v110(constB51))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB51) | (~v111(constB51)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6377, 6375])).
% 24.79/16.11 tff(6379,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB51)) | v110(constB51))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6380,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB51) | (~v111(constB51))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 24.79/16.11 tff(6381,plain,
% 24.79/16.11 (v110(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6380, 207, 6374])).
% 24.79/16.11 tff(6382,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB51) | (~v110(constB51)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB51) | (~v110(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6383,plain,
% 24.79/16.11 (((~v110(constB51)) | v109(constB51)) <=> (v109(constB51) | (~v110(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6384,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB51)) | v109(constB51))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB51) | (~v110(constB51))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6383])).
% 24.79/16.11 tff(6385,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB51)) | v109(constB51))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB51) | (~v110(constB51)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6384, 6382])).
% 24.79/16.11 tff(6386,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB51)) | v109(constB51))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6387,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB51) | (~v110(constB51))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6386, 6385])).
% 24.79/16.11 tff(6388,plain,
% 24.79/16.11 (v109(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6387, 221, 6381])).
% 24.79/16.11 tff(6389,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB51)) | v108(constB51))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB51)) | v108(constB51))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6390,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB51)) | v108(constB51))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6391,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB51)) | v108(constB51)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6390, 6389])).
% 24.79/16.11 tff(6392,plain,
% 24.79/16.11 (v108(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6391, 235, 6388])).
% 24.79/16.11 tff(6393,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB51) | (~v108(constB51)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB51) | (~v108(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6394,plain,
% 24.79/16.11 (((~v108(constB51)) | v107(constB51)) <=> (v107(constB51) | (~v108(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6395,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB51)) | v107(constB51))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB51) | (~v108(constB51))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6394])).
% 24.79/16.11 tff(6396,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB51)) | v107(constB51))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB51) | (~v108(constB51)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6395, 6393])).
% 24.79/16.11 tff(6397,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB51)) | v107(constB51))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6398,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB51) | (~v108(constB51))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6397, 6396])).
% 24.79/16.11 tff(6399,plain,
% 24.79/16.11 (v107(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6398, 249, 6392])).
% 24.79/16.11 tff(6400,assumption,(v26(constB51)), introduced(assumption)).
% 24.79/16.11 tff(6401,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB51))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6402,plain,
% 24.79/16.11 ($false),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6401, 18, 6400])).
% 24.79/16.11 tff(6403,plain,(~v26(constB51)), inference(lemma,lemma(discharge,[]))).
% 24.79/16.11 tff(6404,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB51) | (~v107(constB51)) | v106(constB51))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB51) | (~v107(constB51)) | v106(constB51))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6405,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB51) | (~v107(constB51)) | v106(constB51))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6406,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB51) | (~v107(constB51)) | v106(constB51)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6405, 6404])).
% 24.79/16.11 tff(6407,plain,
% 24.79/16.11 ((~v107(constB51)) | v106(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6406, 263, 6403])).
% 24.79/16.11 tff(6408,plain,
% 24.79/16.11 (v106(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6407, 6399])).
% 24.79/16.11 tff(6409,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB51) | (~v106(constB51)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB51) | (~v106(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6410,plain,
% 24.79/16.11 (((~v106(constB51)) | v102(constB51)) <=> (v102(constB51) | (~v106(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6411,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB51)) | v102(constB51))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB51) | (~v106(constB51))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6410])).
% 24.79/16.11 tff(6412,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB51)) | v102(constB51))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB51) | (~v106(constB51)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6411, 6409])).
% 24.79/16.11 tff(6413,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB51)) | v102(constB51))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6414,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB51) | (~v106(constB51))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6413, 6412])).
% 24.79/16.11 tff(6415,plain,
% 24.79/16.11 (v102(constB51)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6414, 275, 6408])).
% 24.79/16.11 tff(6416,plain,
% 24.79/16.11 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6417,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_51_1')).
% 24.79/16.11 tff(6418,plain,
% 24.79/16.11 (nextState(constB51, constB52)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6417, 6416])).
% 24.79/16.11 tff(6419,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6420,plain,
% 24.79/16.11 (((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52)) <=> ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6421,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6420])).
% 24.79/16.11 tff(6422,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6421, 6419])).
% 24.79/16.11 tff(6423,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB51, constB52)) | (~v102(constB51)) | v104(constB52))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6424,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB51, constB52)) | v104(constB52) | (~v102(constB51))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6423, 6422])).
% 24.79/16.11 tff(6425,plain,
% 24.79/16.11 (v104(constB52) | (~v102(constB51))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6424, 295, 6418])).
% 24.79/16.11 tff(6426,plain,
% 24.79/16.11 (v104(constB52)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6425, 6415])).
% 24.79/16.11 tff(6427,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6428,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6429,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB51) | (~nextState(constB51, constB52)) | (~v98(constB52))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6428, 6427])).
% 24.79/16.11 tff(6430,plain,
% 24.79/16.11 (~v98(constB52)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6429, 313, 6418, 6264])).
% 24.79/16.11 tff(6431,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6432,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB51, constB52)) | v96(constB52) | v98(constB52))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6433,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB51, constB52)) | v96(constB52) | v98(constB52)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 24.79/16.11 tff(6434,plain,
% 24.79/16.11 (v96(constB52) | v98(constB52)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6433, 327, 6418])).
% 24.79/16.11 tff(6435,plain,
% 24.79/16.11 (v96(constB52)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6434, 6430])).
% 24.79/16.11 tff(6436,plain,
% 24.79/16.11 (v1(constB52) <=> v1(constB52)),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6437,axiom,(v1(constB52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_52_1')).
% 24.79/16.11 tff(6438,plain,
% 24.79/16.11 (v1(constB52)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 24.79/16.11 tff(6439,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6440,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6441,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB51, constB52)) | v95(constB52) | (~v96(constB52)) | (~v1(constB52))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6440, 6439])).
% 24.79/16.11 tff(6442,plain,
% 24.79/16.11 (v95(constB52) | (~v96(constB52))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6441, 345, 6418, 6438])).
% 24.79/16.11 tff(6443,plain,
% 24.79/16.11 (v95(constB52)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6442, 6435])).
% 24.79/16.11 tff(6444,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6445,plain,
% 24.79/16.11 (((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52)) <=> ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6446,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6445])).
% 24.79/16.11 tff(6447,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6446, 6444])).
% 24.79/16.11 tff(6448,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB51, constB52)) | (~v95(constB52)) | (~v104(constB52)) | v94(constB52))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6449,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB51, constB52)) | v94(constB52) | (~v95(constB52)) | (~v104(constB52))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 24.79/16.11 tff(6450,plain,
% 24.79/16.11 (v94(constB52) | (~v95(constB52)) | (~v104(constB52))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6449, 360, 6418])).
% 24.79/16.11 tff(6451,plain,
% 24.79/16.11 (v94(constB52) | (~v104(constB52))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6450, 6443])).
% 24.79/16.11 tff(6452,plain,
% 24.79/16.11 (v94(constB52)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6451, 6426])).
% 24.79/16.11 tff(6453,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB51)) | (~v124(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB51)) | (~v124(constB51, bitIndex2)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6454,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB51)) | (~v124(constB51, bitIndex2)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6455,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB51)) | (~v124(constB51, bitIndex2))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6454, 6453])).
% 24.79/16.11 tff(6456,plain,
% 24.79/16.11 (~v124(constB51, bitIndex2)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6455, 625, 6363])).
% 24.79/16.11 tff(6457,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6458,plain,
% 24.79/16.11 ((v26(constB51) | v124(constB51, bitIndex2) | (~v121(constB51, bitIndex2))) <=> ((~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6459,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB51) | v124(constB51, bitIndex2) | (~v121(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2)))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6458])).
% 24.79/16.11 tff(6460,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB51) | v124(constB51, bitIndex2) | (~v121(constB51, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6459, 6457])).
% 24.79/16.11 tff(6461,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB51) | v124(constB51, bitIndex2) | (~v121(constB51, bitIndex2)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6462,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB51, bitIndex2)) | v26(constB51) | v124(constB51, bitIndex2)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 24.79/16.11 tff(6463,plain,
% 24.79/16.11 ((~v121(constB51, bitIndex2)) | v124(constB51, bitIndex2)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6462, 390, 6403])).
% 24.79/16.11 tff(6464,plain,
% 24.79/16.11 (~v121(constB51, bitIndex2)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6463, 6456])).
% 24.79/16.11 tff(6465,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6466,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6467,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6466, 6465])).
% 24.79/16.11 tff(6468,plain,
% 24.79/16.11 (v121(constB51, bitIndex2) | (~v123(constB52, bitIndex2))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6467, 408, 6418])).
% 24.79/16.11 tff(6469,plain,
% 24.79/16.11 (~v123(constB52, bitIndex2)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6468, 6464])).
% 24.79/16.11 tff(6470,plain,
% 24.79/16.11 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6471,plain,
% 24.79/16.11 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6472,plain,
% 24.79/16.11 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2) | (~v94(constB52))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 24.79/16.11 tff(6473,plain,
% 24.79/16.11 ((~v84(constB52, bitIndex2)) | (~v94(constB52))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6472, 423, 6469])).
% 24.79/16.11 tff(6474,plain,
% 24.79/16.11 (~v84(constB52, bitIndex2)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6473, 6452])).
% 24.79/16.11 tff(6475,plain,
% 24.79/16.11 ((~v1(constB53)) <=> (~v1(constB53))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6476,axiom,(~v1(constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_53_1_1')).
% 24.79/16.11 tff(6477,plain,
% 24.79/16.11 (~v1(constB53)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6476, 6475])).
% 24.79/16.11 tff(6478,plain,
% 24.79/16.11 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6479,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_52_1')).
% 24.79/16.11 tff(6480,plain,
% 24.79/16.11 (nextState(constB52, constB53)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 24.79/16.11 tff(6481,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6482,plain,
% 24.79/16.11 (((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53)) <=> (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6483,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6482])).
% 24.79/16.11 tff(6484,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6483, 6481])).
% 24.79/16.11 tff(6485,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB52, constB53)) | (~v95(constB53)) | v1(constB53))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6486,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB53) | (~nextState(constB52, constB53)) | (~v95(constB53))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6485, 6484])).
% 24.79/16.11 tff(6487,plain,
% 24.79/16.11 (~v95(constB53)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6486, 73, 6480, 6477])).
% 24.79/16.11 tff(6488,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6489,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6490,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB52, constB53)) | v95(constB53) | (~v94(constB53))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6489, 6488])).
% 24.79/16.11 tff(6491,plain,
% 24.79/16.11 (v95(constB53) | (~v94(constB53))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6490, 90, 6480])).
% 24.79/16.11 tff(6492,plain,
% 24.79/16.11 (~v94(constB53)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6491, 6487])).
% 24.79/16.11 tff(6493,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6494,plain,
% 24.79/16.11 (((~nextState(constB52, constB53)) | v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2))) <=> (v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2)))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6495,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2))))),
% 24.79/16.11 inference(monotonicity,[status(thm)],[6494])).
% 24.79/16.11 tff(6496,plain,
% 24.79/16.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2)))),
% 24.79/16.11 inference(transitivity,[status(thm)],[6495, 6493])).
% 24.79/16.11 tff(6497,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2)))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6498,plain,
% 24.79/16.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB52, bitIndex2) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex2))),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 24.79/16.11 tff(6499,plain,
% 24.79/16.11 (v84(constB52, bitIndex2) | v94(constB53) | (~v84(constB53, bitIndex2))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6498, 105, 6480])).
% 24.79/16.11 tff(6500,plain,
% 24.79/16.11 (v84(constB52, bitIndex2) | (~v84(constB53, bitIndex2))),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6499, 6492])).
% 24.79/16.11 tff(6501,plain,
% 24.79/16.11 (~v84(constB53, bitIndex2)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6500, 6474])).
% 24.79/16.11 tff(6502,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB51)) | v124(constB51, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB51)) | v124(constB51, bitIndex1))),
% 24.79/16.11 inference(rewrite,[status(thm)],[])).
% 24.79/16.11 tff(6503,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB51)) | v124(constB51, bitIndex1))),
% 24.79/16.11 inference(quant_inst,[status(thm)],[])).
% 24.79/16.11 tff(6504,plain,
% 24.79/16.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB51)) | v124(constB51, bitIndex1)),
% 24.79/16.11 inference(modus_ponens,[status(thm)],[6503, 6502])).
% 24.79/16.11 tff(6505,plain,
% 24.79/16.11 (v124(constB51, bitIndex1)),
% 24.79/16.11 inference(unit_resolution,[status(thm)],[6504, 798, 6363])).
% 24.79/16.11 tff(6506,plain,
% 24.79/16.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB51) | (~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB51) | (~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6507,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB51) | (~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6508,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB51) | (~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 24.79/16.12 tff(6509,plain,
% 24.79/16.12 ((~v124(constB51, bitIndex1)) | v121(constB51, bitIndex1)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6508, 812, 6403])).
% 24.79/16.12 tff(6510,plain,
% 24.79/16.12 (v121(constB51, bitIndex1)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6509, 6505])).
% 24.79/16.12 tff(6511,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6512,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB51, constB52)) | (~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6513,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB51, constB52)) | (~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6512, 6511])).
% 24.79/16.12 tff(6514,plain,
% 24.79/16.12 ((~v121(constB51, bitIndex1)) | v123(constB52, bitIndex1)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6513, 827, 6418])).
% 24.79/16.12 tff(6515,plain,
% 24.79/16.12 (v123(constB52, bitIndex1)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6514, 6510])).
% 24.79/16.12 tff(6516,plain,
% 24.79/16.12 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6517,plain,
% 24.79/16.12 ((v84(constB52, bitIndex1) | (~v94(constB52)) | (~v123(constB52, bitIndex1))) <=> (v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6518,plain,
% 24.79/16.12 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v94(constB52)) | (~v123(constB52, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6517])).
% 24.79/16.12 tff(6519,plain,
% 24.79/16.12 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v94(constB52)) | (~v123(constB52, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6518, 6516])).
% 24.79/16.12 tff(6520,plain,
% 24.79/16.12 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB52, bitIndex1) | (~v94(constB52)) | (~v123(constB52, bitIndex1)))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6521,plain,
% 24.79/16.12 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1)) | (~v94(constB52))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 24.79/16.12 tff(6522,plain,
% 24.79/16.12 (v84(constB52, bitIndex1) | (~v94(constB52))),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6521, 842, 6515])).
% 24.79/16.12 tff(6523,plain,
% 24.79/16.12 (v84(constB52, bitIndex1)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6522, 6452])).
% 24.79/16.12 tff(6524,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6525,plain,
% 24.79/16.12 (((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1)) <=> ((~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6526,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1)))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6525])).
% 24.79/16.12 tff(6527,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6526, 6524])).
% 24.79/16.12 tff(6528,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB52, constB53)) | (~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6529,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB52, bitIndex1)) | (~nextState(constB52, constB53)) | v94(constB53) | v84(constB53, bitIndex1)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 24.79/16.12 tff(6530,plain,
% 24.79/16.12 ((~v84(constB52, bitIndex1)) | v94(constB53) | v84(constB53, bitIndex1)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6529, 860, 6480])).
% 24.79/16.12 tff(6531,plain,
% 24.79/16.12 ((~v84(constB52, bitIndex1)) | v84(constB53, bitIndex1)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6530, 6492])).
% 24.79/16.12 tff(6532,plain,
% 24.79/16.12 (v84(constB53, bitIndex1)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6531, 6523])).
% 24.79/16.12 tff(6533,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB51)) | (~v124(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB51)) | (~v124(constB51, bitIndex0)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6534,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB51)) | (~v124(constB51, bitIndex0)))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6535,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB51)) | (~v124(constB51, bitIndex0))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6534, 6533])).
% 24.79/16.12 tff(6536,plain,
% 24.79/16.12 (~v124(constB51, bitIndex0)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6535, 876, 6363])).
% 24.79/16.12 tff(6537,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6538,plain,
% 24.79/16.12 ((v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0))) <=> ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6539,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0)))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6538])).
% 24.79/16.12 tff(6540,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6539, 6537])).
% 24.79/16.12 tff(6541,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB51) | v124(constB51, bitIndex0) | (~v121(constB51, bitIndex0)))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6542,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB51, bitIndex0)) | v26(constB51) | v124(constB51, bitIndex0)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6541, 6540])).
% 24.79/16.12 tff(6543,plain,
% 24.79/16.12 ((~v121(constB51, bitIndex0)) | v124(constB51, bitIndex0)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6542, 890, 6403])).
% 24.79/16.12 tff(6544,plain,
% 24.79/16.12 (~v121(constB51, bitIndex0)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6543, 6536])).
% 24.79/16.12 tff(6545,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6546,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0)))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6547,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB51, constB52)) | v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6546, 6545])).
% 24.79/16.12 tff(6548,plain,
% 24.79/16.12 (v121(constB51, bitIndex0) | (~v123(constB52, bitIndex0))),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6547, 908, 6418])).
% 24.79/16.12 tff(6549,plain,
% 24.79/16.12 (~v123(constB52, bitIndex0)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6548, 6544])).
% 24.79/16.12 tff(6550,plain,
% 24.79/16.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6551,plain,
% 24.79/16.12 (((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0)) <=> ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6552,plain,
% 24.79/16.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6551])).
% 24.79/16.12 tff(6553,plain,
% 24.79/16.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6552, 6550])).
% 24.79/16.12 tff(6554,plain,
% 24.79/16.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB52, bitIndex0)) | (~v94(constB52)) | v123(constB52, bitIndex0))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6555,plain,
% 24.79/16.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0) | (~v94(constB52))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6554, 6553])).
% 24.79/16.12 tff(6556,plain,
% 24.79/16.12 ((~v84(constB52, bitIndex0)) | (~v94(constB52))),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6555, 923, 6549])).
% 24.79/16.12 tff(6557,plain,
% 24.79/16.12 (~v84(constB52, bitIndex0)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6556, 6452])).
% 24.79/16.12 tff(6558,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6559,plain,
% 24.79/16.12 (((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0))) <=> (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6560,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6559])).
% 24.79/16.12 tff(6561,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6560, 6558])).
% 24.79/16.12 tff(6562,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB52, constB53)) | v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0)))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6563,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB52, bitIndex0) | (~nextState(constB52, constB53)) | v94(constB53) | (~v84(constB53, bitIndex0))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 24.79/16.12 tff(6564,plain,
% 24.79/16.12 (v84(constB52, bitIndex0) | v94(constB53) | (~v84(constB53, bitIndex0))),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6563, 147, 6480])).
% 24.79/16.12 tff(6565,plain,
% 24.79/16.12 (v84(constB52, bitIndex0) | (~v84(constB53, bitIndex0))),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6564, 6492])).
% 24.79/16.12 tff(6566,plain,
% 24.79/16.12 (~v84(constB53, bitIndex0)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6565, 6557])).
% 24.79/16.12 tff(6567,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6568,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6569,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB53, bitIndex0) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex2) | v115(constB53)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6568, 6567])).
% 24.79/16.12 tff(6570,plain,
% 24.79/16.12 (v115(constB53)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6569, 950, 6566, 6532, 6501])).
% 24.79/16.12 tff(6571,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB53)) | v111(constB53))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB53)) | v111(constB53))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6572,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB53)) | v111(constB53))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6573,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB53)) | v111(constB53)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6572, 6571])).
% 24.79/16.12 tff(6574,plain,
% 24.79/16.12 (v111(constB53)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6573, 961, 6570])).
% 24.79/16.12 tff(6575,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB53)) | v110(constB53))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB53)) | v110(constB53))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6576,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB53)) | v110(constB53))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6577,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB53)) | v110(constB53)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6576, 6575])).
% 24.79/16.12 tff(6578,plain,
% 24.79/16.12 (v110(constB53)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6577, 207, 6574])).
% 24.79/16.12 tff(6579,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB53) | (~v110(constB53)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB53) | (~v110(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6580,plain,
% 24.79/16.12 (((~v110(constB53)) | v109(constB53)) <=> (v109(constB53) | (~v110(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6581,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB53)) | v109(constB53))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB53) | (~v110(constB53))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6580])).
% 24.79/16.12 tff(6582,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB53)) | v109(constB53))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB53) | (~v110(constB53)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6581, 6579])).
% 24.79/16.12 tff(6583,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB53)) | v109(constB53))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6584,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB53) | (~v110(constB53))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 24.79/16.12 tff(6585,plain,
% 24.79/16.12 (v109(constB53)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6584, 221, 6578])).
% 24.79/16.12 tff(6586,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v109(constB53)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v109(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6587,plain,
% 24.79/16.12 (((~v109(constB53)) | v108(constB53)) <=> (v108(constB53) | (~v109(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6588,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB53) | (~v109(constB53))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6587])).
% 24.79/16.12 tff(6589,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB53)) | v108(constB53))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v109(constB53)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6588, 6586])).
% 24.79/16.12 tff(6590,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB53)) | v108(constB53))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6591,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB53) | (~v109(constB53))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6590, 6589])).
% 24.79/16.12 tff(6592,plain,
% 24.79/16.12 (v108(constB53)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6591, 235, 6585])).
% 24.79/16.12 tff(6593,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB53) | (~v108(constB53)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB53) | (~v108(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6594,plain,
% 24.79/16.12 (((~v108(constB53)) | v107(constB53)) <=> (v107(constB53) | (~v108(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6595,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB53)) | v107(constB53))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB53) | (~v108(constB53))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6594])).
% 24.79/16.12 tff(6596,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB53)) | v107(constB53))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB53) | (~v108(constB53)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6595, 6593])).
% 24.79/16.12 tff(6597,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB53)) | v107(constB53))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6598,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB53) | (~v108(constB53))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6597, 6596])).
% 24.79/16.12 tff(6599,plain,
% 24.79/16.12 (v107(constB53)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6598, 249, 6592])).
% 24.79/16.12 tff(6600,assumption,(v26(constB53)), introduced(assumption)).
% 24.79/16.12 tff(6601,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB53))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6602,plain,
% 24.79/16.12 ($false),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6601, 18, 6600])).
% 24.79/16.12 tff(6603,plain,(~v26(constB53)), inference(lemma,lemma(discharge,[]))).
% 24.79/16.12 tff(6604,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | v106(constB53) | (~v107(constB53)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6605,plain,
% 24.79/16.12 ((v26(constB53) | (~v107(constB53)) | v106(constB53)) <=> (v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6606,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | v106(constB53) | (~v107(constB53))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6605])).
% 24.79/16.12 tff(6607,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6606, 6604])).
% 24.79/16.12 tff(6608,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB53) | (~v107(constB53)) | v106(constB53))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6609,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB53) | v106(constB53) | (~v107(constB53))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6608, 6607])).
% 24.79/16.12 tff(6610,plain,
% 24.79/16.12 (v106(constB53) | (~v107(constB53))),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6609, 263, 6603])).
% 24.79/16.12 tff(6611,plain,
% 24.79/16.12 (v106(constB53)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6610, 6599])).
% 24.79/16.12 tff(6612,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB53) | (~v106(constB53)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB53) | (~v106(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6613,plain,
% 24.79/16.12 (((~v106(constB53)) | v102(constB53)) <=> (v102(constB53) | (~v106(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6614,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB53)) | v102(constB53))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB53) | (~v106(constB53))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6613])).
% 24.79/16.12 tff(6615,plain,
% 24.79/16.12 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB53)) | v102(constB53))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB53) | (~v106(constB53)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6614, 6612])).
% 24.79/16.12 tff(6616,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB53)) | v102(constB53))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6617,plain,
% 24.79/16.12 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB53) | (~v106(constB53))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6616, 6615])).
% 24.79/16.12 tff(6618,plain,
% 24.79/16.12 (v102(constB53)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6617, 275, 6611])).
% 24.79/16.12 tff(6619,plain,
% 24.79/16.12 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6620,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_53_1')).
% 24.79/16.12 tff(6621,plain,
% 24.79/16.12 (nextState(constB53, constB54)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6620, 6619])).
% 24.79/16.12 tff(6622,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6623,plain,
% 24.79/16.12 (((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54)) <=> ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6624,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6623])).
% 24.79/16.12 tff(6625,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6624, 6622])).
% 24.79/16.12 tff(6626,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB53, constB54)) | (~v102(constB53)) | v104(constB54))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6627,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB53, constB54)) | v104(constB54) | (~v102(constB53))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 24.79/16.12 tff(6628,plain,
% 24.79/16.12 (v104(constB54) | (~v102(constB53))),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6627, 295, 6621])).
% 24.79/16.12 tff(6629,plain,
% 24.79/16.12 (v104(constB54)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6628, 6618])).
% 24.79/16.12 tff(6630,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6631,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54)))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6632,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB53) | (~nextState(constB53, constB54)) | (~v98(constB54))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6631, 6630])).
% 24.79/16.12 tff(6633,plain,
% 24.79/16.12 (~v98(constB54)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6632, 313, 6621, 6477])).
% 24.79/16.12 tff(6634,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6635,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB53, constB54)) | v96(constB54) | v98(constB54))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6636,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB53, constB54)) | v96(constB54) | v98(constB54)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6635, 6634])).
% 24.79/16.12 tff(6637,plain,
% 24.79/16.12 (v96(constB54) | v98(constB54)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6636, 327, 6621])).
% 24.79/16.12 tff(6638,plain,
% 24.79/16.12 (v96(constB54)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6637, 6633])).
% 24.79/16.12 tff(6639,plain,
% 24.79/16.12 (v1(constB54) <=> v1(constB54)),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6640,axiom,(v1(constB54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_54_1')).
% 24.79/16.12 tff(6641,plain,
% 24.79/16.12 (v1(constB54)),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6640, 6639])).
% 24.79/16.12 tff(6642,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6643,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54)))),
% 24.79/16.12 inference(quant_inst,[status(thm)],[])).
% 24.79/16.12 tff(6644,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB53, constB54)) | v95(constB54) | (~v96(constB54)) | (~v1(constB54))),
% 24.79/16.12 inference(modus_ponens,[status(thm)],[6643, 6642])).
% 24.79/16.12 tff(6645,plain,
% 24.79/16.12 (v95(constB54) | (~v96(constB54))),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6644, 345, 6621, 6641])).
% 24.79/16.12 tff(6646,plain,
% 24.79/16.12 (v95(constB54)),
% 24.79/16.12 inference(unit_resolution,[status(thm)],[6645, 6638])).
% 24.79/16.12 tff(6647,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6648,plain,
% 24.79/16.12 (((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54)) <=> ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 24.79/16.12 inference(rewrite,[status(thm)],[])).
% 24.79/16.12 tff(6649,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54))))),
% 24.79/16.12 inference(monotonicity,[status(thm)],[6648])).
% 24.79/16.12 tff(6650,plain,
% 24.79/16.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54)))),
% 24.79/16.12 inference(transitivity,[status(thm)],[6649, 6647])).
% 24.79/16.12 tff(6651,plain,
% 24.79/16.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB53, constB54)) | (~v95(constB54)) | (~v104(constB54)) | v94(constB54))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6652,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB53, constB54)) | v94(constB54) | (~v95(constB54)) | (~v104(constB54))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6651, 6650])).
% 24.79/16.13 tff(6653,plain,
% 24.79/16.13 (v94(constB54) | (~v95(constB54)) | (~v104(constB54))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6652, 360, 6621])).
% 24.79/16.13 tff(6654,plain,
% 24.79/16.13 (v94(constB54) | (~v104(constB54))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6653, 6646])).
% 24.79/16.13 tff(6655,plain,
% 24.79/16.13 (v94(constB54)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6654, 6629])).
% 24.79/16.13 tff(6656,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB53)) | v124(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB53)) | v124(constB53, bitIndex0))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6657,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB53)) | v124(constB53, bitIndex0))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6658,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB53)) | v124(constB53, bitIndex0)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6657, 6656])).
% 24.79/16.13 tff(6659,plain,
% 24.79/16.13 (v124(constB53, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6658, 1140, 6570])).
% 24.79/16.13 tff(6660,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB53) | (~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB53) | (~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6661,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB53) | (~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6662,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB53) | (~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6661, 6660])).
% 24.79/16.13 tff(6663,plain,
% 24.79/16.13 ((~v124(constB53, bitIndex0)) | v121(constB53, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6662, 547, 6603])).
% 24.79/16.13 tff(6664,plain,
% 24.79/16.13 (v121(constB53, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6663, 6659])).
% 24.79/16.13 tff(6665,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6666,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6667,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6666, 6665])).
% 24.79/16.13 tff(6668,plain,
% 24.79/16.13 ((~v121(constB53, bitIndex0)) | v123(constB54, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6667, 562, 6621])).
% 24.79/16.13 tff(6669,plain,
% 24.79/16.13 (v123(constB54, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6668, 6664])).
% 24.79/16.13 tff(6670,plain,
% 24.79/16.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6671,plain,
% 24.79/16.13 ((v84(constB54, bitIndex0) | (~v94(constB54)) | (~v123(constB54, bitIndex0))) <=> (v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6672,plain,
% 24.79/16.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v94(constB54)) | (~v123(constB54, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54))))),
% 24.79/16.13 inference(monotonicity,[status(thm)],[6671])).
% 24.79/16.13 tff(6673,plain,
% 24.79/16.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v94(constB54)) | (~v123(constB54, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54)))),
% 24.79/16.13 inference(transitivity,[status(thm)],[6672, 6670])).
% 24.79/16.13 tff(6674,plain,
% 24.79/16.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB54, bitIndex0) | (~v94(constB54)) | (~v123(constB54, bitIndex0)))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6675,plain,
% 24.79/16.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0)) | (~v94(constB54))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 24.79/16.13 tff(6676,plain,
% 24.79/16.13 (v84(constB54, bitIndex0) | (~v94(constB54))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6675, 577, 6669])).
% 24.79/16.13 tff(6677,plain,
% 24.79/16.13 (v84(constB54, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6676, 6655])).
% 24.79/16.13 tff(6678,plain,
% 24.79/16.13 ((~v1(constB55)) <=> (~v1(constB55))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6679,axiom,(~v1(constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_55_1_1')).
% 24.79/16.13 tff(6680,plain,
% 24.79/16.13 (~v1(constB55)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6679, 6678])).
% 24.79/16.13 tff(6681,plain,
% 24.79/16.13 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6682,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_54_1')).
% 24.79/16.13 tff(6683,plain,
% 24.79/16.13 (nextState(constB54, constB55)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 24.79/16.13 tff(6684,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6685,plain,
% 24.79/16.13 (((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55)) <=> (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6686,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55))))),
% 24.79/16.13 inference(monotonicity,[status(thm)],[6685])).
% 24.79/16.13 tff(6687,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55)))),
% 24.79/16.13 inference(transitivity,[status(thm)],[6686, 6684])).
% 24.79/16.13 tff(6688,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB54, constB55)) | (~v95(constB55)) | v1(constB55))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6689,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB55) | (~nextState(constB54, constB55)) | (~v95(constB55))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6688, 6687])).
% 24.79/16.13 tff(6690,plain,
% 24.79/16.13 (~v95(constB55)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6689, 73, 6683, 6680])).
% 24.79/16.13 tff(6691,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6692,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55)))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6693,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB54, constB55)) | v95(constB55) | (~v94(constB55))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6692, 6691])).
% 24.79/16.13 tff(6694,plain,
% 24.79/16.13 (v95(constB55) | (~v94(constB55))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6693, 90, 6683])).
% 24.79/16.13 tff(6695,plain,
% 24.79/16.13 (~v94(constB55)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6694, 6690])).
% 24.79/16.13 tff(6696,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6697,plain,
% 24.79/16.13 (((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0)) <=> ((~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6698,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0)))),
% 24.79/16.13 inference(monotonicity,[status(thm)],[6697])).
% 24.79/16.13 tff(6699,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0))),
% 24.79/16.13 inference(transitivity,[status(thm)],[6698, 6696])).
% 24.79/16.13 tff(6700,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6701,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB54, bitIndex0)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex0)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6700, 6699])).
% 24.79/16.13 tff(6702,plain,
% 24.79/16.13 ((~v84(constB54, bitIndex0)) | v94(constB55) | v84(constB55, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6701, 595, 6683])).
% 24.79/16.13 tff(6703,plain,
% 24.79/16.13 ((~v84(constB54, bitIndex0)) | v84(constB55, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6702, 6695])).
% 24.79/16.13 tff(6704,plain,
% 24.79/16.13 (v84(constB55, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6703, 6677])).
% 24.79/16.13 tff(6705,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB53)) | (~v124(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB53)) | (~v124(constB53, bitIndex2)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6706,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB53)) | (~v124(constB53, bitIndex2)))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6707,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB53)) | (~v124(constB53, bitIndex2))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6706, 6705])).
% 24.79/16.13 tff(6708,plain,
% 24.79/16.13 (~v124(constB53, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6707, 1046, 6570])).
% 24.79/16.13 tff(6709,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6710,plain,
% 24.79/16.13 ((v26(constB53) | v124(constB53, bitIndex2) | (~v121(constB53, bitIndex2))) <=> ((~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6711,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB53) | v124(constB53, bitIndex2) | (~v121(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2)))),
% 24.79/16.13 inference(monotonicity,[status(thm)],[6710])).
% 24.79/16.13 tff(6712,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB53) | v124(constB53, bitIndex2) | (~v121(constB53, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2))),
% 24.79/16.13 inference(transitivity,[status(thm)],[6711, 6709])).
% 24.79/16.13 tff(6713,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB53) | v124(constB53, bitIndex2) | (~v121(constB53, bitIndex2)))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6714,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB53, bitIndex2)) | v26(constB53) | v124(constB53, bitIndex2)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6713, 6712])).
% 24.79/16.13 tff(6715,plain,
% 24.79/16.13 ((~v121(constB53, bitIndex2)) | v124(constB53, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6714, 390, 6603])).
% 24.79/16.13 tff(6716,plain,
% 24.79/16.13 (~v121(constB53, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6715, 6708])).
% 24.79/16.13 tff(6717,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6718,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB53, constB54)) | v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2)))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6719,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB53, constB54)) | v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 24.79/16.13 tff(6720,plain,
% 24.79/16.13 (v121(constB53, bitIndex2) | (~v123(constB54, bitIndex2))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6719, 408, 6621])).
% 24.79/16.13 tff(6721,plain,
% 24.79/16.13 (~v123(constB54, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6720, 6716])).
% 24.79/16.13 tff(6722,plain,
% 24.79/16.13 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6723,plain,
% 24.79/16.13 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54)))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6724,plain,
% 24.79/16.13 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2) | (~v94(constB54))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6723, 6722])).
% 24.79/16.13 tff(6725,plain,
% 24.79/16.13 ((~v84(constB54, bitIndex2)) | (~v94(constB54))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6724, 423, 6721])).
% 24.79/16.13 tff(6726,plain,
% 24.79/16.13 (~v84(constB54, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6725, 6655])).
% 24.79/16.13 tff(6727,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6728,plain,
% 24.79/16.13 (((~nextState(constB54, constB55)) | v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2))) <=> (v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6729,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2))))),
% 24.79/16.13 inference(monotonicity,[status(thm)],[6728])).
% 24.79/16.13 tff(6730,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2)))),
% 24.79/16.13 inference(transitivity,[status(thm)],[6729, 6727])).
% 24.79/16.13 tff(6731,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB54, constB55)) | v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2)))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6732,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB54, bitIndex2) | (~nextState(constB54, constB55)) | v94(constB55) | (~v84(constB55, bitIndex2))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6731, 6730])).
% 24.79/16.13 tff(6733,plain,
% 24.79/16.13 (v84(constB54, bitIndex2) | v94(constB55) | (~v84(constB55, bitIndex2))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6732, 105, 6683])).
% 24.79/16.13 tff(6734,plain,
% 24.79/16.13 (v84(constB54, bitIndex2) | (~v84(constB55, bitIndex2))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6733, 6695])).
% 24.79/16.13 tff(6735,plain,
% 24.79/16.13 (~v84(constB55, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6734, 6726])).
% 24.79/16.13 tff(6736,assumption,(v145(constB51)), introduced(assumption)).
% 24.79/16.13 tff(6737,plain,
% 24.79/16.13 (v112(constB51)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6366, 677, 6736])).
% 24.79/16.13 tff(6738,plain,
% 24.79/16.13 (v111(constB51)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6373, 193, 6737])).
% 24.79/16.13 tff(6739,plain,
% 24.79/16.13 (v110(constB51)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6380, 207, 6738])).
% 24.79/16.13 tff(6740,plain,
% 24.79/16.13 (v109(constB51)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6387, 221, 6739])).
% 24.79/16.13 tff(6741,plain,
% 24.79/16.13 (v108(constB51)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6391, 235, 6740])).
% 24.79/16.13 tff(6742,plain,
% 24.79/16.13 (v107(constB51)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6398, 249, 6741])).
% 24.79/16.13 tff(6743,plain,
% 24.79/16.13 (v106(constB51)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6407, 6742])).
% 24.79/16.13 tff(6744,plain,
% 24.79/16.13 (v102(constB51)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6414, 275, 6743])).
% 24.79/16.13 tff(6745,plain,
% 24.79/16.13 (v104(constB52)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6425, 6744])).
% 24.79/16.13 tff(6746,plain,
% 24.79/16.13 (v94(constB52)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6451, 6745])).
% 24.79/16.13 tff(6747,plain,
% 24.79/16.13 (~v124(constB51, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6455, 625, 6736])).
% 24.79/16.13 tff(6748,plain,
% 24.79/16.13 (~v121(constB51, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6463, 6747])).
% 24.79/16.13 tff(6749,plain,
% 24.79/16.13 (~v123(constB52, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6468, 6748])).
% 24.79/16.13 tff(6750,plain,
% 24.79/16.13 ((~v84(constB52, bitIndex2)) | (~v94(constB52))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6472, 423, 6749])).
% 24.79/16.13 tff(6751,plain,
% 24.79/16.13 (~v84(constB52, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6750, 6746])).
% 24.79/16.13 tff(6752,plain,
% 24.79/16.13 (~v84(constB53, bitIndex2)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6500, 6751])).
% 24.79/16.13 tff(6753,plain,
% 24.79/16.13 (v124(constB51, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6504, 798, 6736])).
% 24.79/16.13 tff(6754,plain,
% 24.79/16.13 (v121(constB51, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6509, 6753])).
% 24.79/16.13 tff(6755,plain,
% 24.79/16.13 (v123(constB52, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6514, 6754])).
% 24.79/16.13 tff(6756,plain,
% 24.79/16.13 (v84(constB52, bitIndex1) | (~v94(constB52))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6521, 842, 6755])).
% 24.79/16.13 tff(6757,plain,
% 24.79/16.13 (v84(constB52, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6756, 6746])).
% 24.79/16.13 tff(6758,plain,
% 24.79/16.13 (v84(constB53, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6531, 6757])).
% 24.79/16.13 tff(6759,plain,
% 24.79/16.13 (~v124(constB51, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6535, 876, 6736])).
% 24.79/16.13 tff(6760,plain,
% 24.79/16.13 (~v121(constB51, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6543, 6759])).
% 24.79/16.13 tff(6761,plain,
% 24.79/16.13 (~v123(constB52, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6548, 6760])).
% 24.79/16.13 tff(6762,plain,
% 24.79/16.13 ((~v84(constB52, bitIndex0)) | (~v94(constB52))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6555, 923, 6761])).
% 24.79/16.13 tff(6763,plain,
% 24.79/16.13 (~v84(constB52, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6762, 6746])).
% 24.79/16.13 tff(6764,plain,
% 24.79/16.13 (~v84(constB53, bitIndex0)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6565, 6763])).
% 24.79/16.13 tff(6765,plain,
% 24.79/16.13 (v115(constB53)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6569, 950, 6764, 6758, 6752])).
% 24.79/16.13 tff(6766,assumption,(~v84(constB54, bitIndex1)), introduced(assumption)).
% 24.79/16.13 tff(6767,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6768,plain,
% 24.79/16.13 (((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1)) <=> ((~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6769,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1)))),
% 24.79/16.13 inference(monotonicity,[status(thm)],[6768])).
% 24.79/16.13 tff(6770,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1))),
% 24.79/16.13 inference(transitivity,[status(thm)],[6769, 6767])).
% 24.79/16.13 tff(6771,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6772,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB53, bitIndex1)) | (~nextState(constB53, constB54)) | v94(constB54) | v84(constB54, bitIndex1)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6771, 6770])).
% 24.79/16.13 tff(6773,plain,
% 24.79/16.13 ((~v84(constB53, bitIndex1)) | v94(constB54) | v84(constB54, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6772, 860, 6621])).
% 24.79/16.13 tff(6774,plain,
% 24.79/16.13 (v94(constB54)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6773, 6758, 6766])).
% 24.79/16.13 tff(6775,plain,
% 24.79/16.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6776,plain,
% 24.79/16.13 ((v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1))) <=> (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6777,plain,
% 24.79/16.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54))))),
% 24.79/16.13 inference(monotonicity,[status(thm)],[6776])).
% 24.79/16.13 tff(6778,plain,
% 24.79/16.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54)))),
% 24.79/16.13 inference(transitivity,[status(thm)],[6777, 6775])).
% 24.79/16.13 tff(6779,plain,
% 24.79/16.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB54, bitIndex1) | (~v94(constB54)) | (~v123(constB54, bitIndex1)))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6780,plain,
% 24.79/16.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1)) | (~v94(constB54))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6779, 6778])).
% 24.79/16.13 tff(6781,plain,
% 24.79/16.13 ((~v123(constB54, bitIndex1)) | (~v94(constB54))),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6780, 842, 6766])).
% 24.79/16.13 tff(6782,plain,
% 24.79/16.13 (~v123(constB54, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6781, 6774])).
% 24.79/16.13 tff(6783,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6784,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6785,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB53, constB54)) | (~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6784, 6783])).
% 24.79/16.13 tff(6786,plain,
% 24.79/16.13 ((~v121(constB53, bitIndex1)) | v123(constB54, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6785, 827, 6621])).
% 24.79/16.13 tff(6787,plain,
% 24.79/16.13 (~v121(constB53, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6786, 6782])).
% 24.79/16.13 tff(6788,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6789,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6790,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB53) | (~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6789, 6788])).
% 24.79/16.13 tff(6791,plain,
% 24.79/16.13 ((~v124(constB53, bitIndex1)) | v121(constB53, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6790, 812, 6603])).
% 24.79/16.13 tff(6792,plain,
% 24.79/16.13 (~v124(constB53, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6791, 6787])).
% 24.79/16.13 tff(6793,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB53)) | v124(constB53, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB53)) | v124(constB53, bitIndex1))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6794,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB53)) | v124(constB53, bitIndex1))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6795,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB53)) | v124(constB53, bitIndex1)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 24.79/16.13 tff(6796,plain,
% 24.79/16.13 ($false),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6795, 1102, 6792, 6765])).
% 24.79/16.13 tff(6797,plain,((~v145(constB51)) | v84(constB54, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.79/16.13 tff(6798,plain,
% 24.79/16.13 (v84(constB54, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6797, 6363])).
% 24.79/16.13 tff(6799,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6800,plain,
% 24.79/16.13 (((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1)) <=> ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6801,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1)))),
% 24.79/16.13 inference(monotonicity,[status(thm)],[6800])).
% 24.79/16.13 tff(6802,plain,
% 24.79/16.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1))),
% 24.79/16.13 inference(transitivity,[status(thm)],[6801, 6799])).
% 24.79/16.13 tff(6803,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB54, constB55)) | (~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6804,plain,
% 24.79/16.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB54, bitIndex1)) | (~nextState(constB54, constB55)) | v94(constB55) | v84(constB55, bitIndex1)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6803, 6802])).
% 24.79/16.13 tff(6805,plain,
% 24.79/16.13 ((~v84(constB54, bitIndex1)) | v94(constB55) | v84(constB55, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6804, 860, 6683])).
% 24.79/16.13 tff(6806,plain,
% 24.79/16.13 ((~v84(constB54, bitIndex1)) | v84(constB55, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6805, 6695])).
% 24.79/16.13 tff(6807,plain,
% 24.79/16.13 (v84(constB55, bitIndex1)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6806, 6798])).
% 24.79/16.13 tff(6808,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6809,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6810,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB55, bitIndex0)) | (~v84(constB55, bitIndex1)) | v84(constB55, bitIndex2) | v116(constB55)),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 24.79/16.13 tff(6811,plain,
% 24.79/16.13 ((~v84(constB55, bitIndex0)) | v84(constB55, bitIndex2) | v116(constB55)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6810, 1181, 6807])).
% 24.79/16.13 tff(6812,plain,
% 24.79/16.13 (v116(constB55)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6811, 6735, 6704])).
% 24.79/16.13 tff(6813,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB55) | (~v116(constB55)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB55) | (~v116(constB55)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6814,plain,
% 24.79/16.13 (((~v116(constB55)) | v110(constB55)) <=> (v110(constB55) | (~v116(constB55)))),
% 24.79/16.13 inference(rewrite,[status(thm)],[])).
% 24.79/16.13 tff(6815,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB55)) | v110(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB55) | (~v116(constB55))))),
% 24.79/16.13 inference(monotonicity,[status(thm)],[6814])).
% 24.79/16.13 tff(6816,plain,
% 24.79/16.13 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB55)) | v110(constB55))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB55) | (~v116(constB55)))),
% 24.79/16.13 inference(transitivity,[status(thm)],[6815, 6813])).
% 24.79/16.13 tff(6817,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB55)) | v110(constB55))),
% 24.79/16.13 inference(quant_inst,[status(thm)],[])).
% 24.79/16.13 tff(6818,plain,
% 24.79/16.13 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB55) | (~v116(constB55))),
% 24.79/16.13 inference(modus_ponens,[status(thm)],[6817, 6816])).
% 24.79/16.13 tff(6819,plain,
% 24.79/16.13 (v110(constB55)),
% 24.79/16.13 inference(unit_resolution,[status(thm)],[6818, 1192, 6812])).
% 24.79/16.14 tff(6820,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB55) | (~v110(constB55)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB55) | (~v110(constB55)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6821,plain,
% 24.79/16.14 (((~v110(constB55)) | v109(constB55)) <=> (v109(constB55) | (~v110(constB55)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6822,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB55)) | v109(constB55))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB55) | (~v110(constB55))))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6821])).
% 24.79/16.14 tff(6823,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB55)) | v109(constB55))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB55) | (~v110(constB55)))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6822, 6820])).
% 24.79/16.14 tff(6824,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB55)) | v109(constB55))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6825,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB55) | (~v110(constB55))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6824, 6823])).
% 24.79/16.14 tff(6826,plain,
% 24.79/16.14 (v109(constB55)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6825, 221, 6819])).
% 24.79/16.14 tff(6827,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB55)) | v108(constB55))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB55)) | v108(constB55))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6828,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB55)) | v108(constB55))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6829,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB55)) | v108(constB55)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6828, 6827])).
% 24.79/16.14 tff(6830,plain,
% 24.79/16.14 (v108(constB55)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6829, 235, 6826])).
% 24.79/16.14 tff(6831,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB55) | (~v108(constB55)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB55) | (~v108(constB55)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6832,plain,
% 24.79/16.14 (((~v108(constB55)) | v107(constB55)) <=> (v107(constB55) | (~v108(constB55)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6833,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB55)) | v107(constB55))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB55) | (~v108(constB55))))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6832])).
% 24.79/16.14 tff(6834,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB55)) | v107(constB55))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB55) | (~v108(constB55)))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6833, 6831])).
% 24.79/16.14 tff(6835,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB55)) | v107(constB55))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6836,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB55) | (~v108(constB55))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6835, 6834])).
% 24.79/16.14 tff(6837,plain,
% 24.79/16.14 (v107(constB55)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6836, 249, 6830])).
% 24.79/16.14 tff(6838,assumption,(v26(constB55)), introduced(assumption)).
% 24.79/16.14 tff(6839,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB55))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6840,plain,
% 24.79/16.14 ($false),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6839, 18, 6838])).
% 24.79/16.14 tff(6841,plain,(~v26(constB55)), inference(lemma,lemma(discharge,[]))).
% 24.79/16.14 tff(6842,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | (~v107(constB55)) | v106(constB55))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6843,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB55) | (~v107(constB55)) | v106(constB55))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6844,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB55) | (~v107(constB55)) | v106(constB55)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 24.79/16.14 tff(6845,plain,
% 24.79/16.14 ((~v107(constB55)) | v106(constB55)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6844, 263, 6841])).
% 24.79/16.14 tff(6846,plain,
% 24.79/16.14 (v106(constB55)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6845, 6837])).
% 24.79/16.14 tff(6847,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB55) | (~v106(constB55)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB55) | (~v106(constB55)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6848,plain,
% 24.79/16.14 (((~v106(constB55)) | v102(constB55)) <=> (v102(constB55) | (~v106(constB55)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6849,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB55)) | v102(constB55))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB55) | (~v106(constB55))))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6848])).
% 24.79/16.14 tff(6850,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB55)) | v102(constB55))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB55) | (~v106(constB55)))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6849, 6847])).
% 24.79/16.14 tff(6851,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB55)) | v102(constB55))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6852,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB55) | (~v106(constB55))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6851, 6850])).
% 24.79/16.14 tff(6853,plain,
% 24.79/16.14 (v102(constB55)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6852, 275, 6846])).
% 24.79/16.14 tff(6854,plain,
% 24.79/16.14 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6855,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_55_1')).
% 24.79/16.14 tff(6856,plain,
% 24.79/16.14 (nextState(constB55, constB56)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6855, 6854])).
% 24.79/16.14 tff(6857,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6858,plain,
% 24.79/16.14 (((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56)) <=> ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6859,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55))))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6858])).
% 24.79/16.14 tff(6860,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55)))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6859, 6857])).
% 24.79/16.14 tff(6861,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB55, constB56)) | (~v102(constB55)) | v104(constB56))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6862,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB55, constB56)) | v104(constB56) | (~v102(constB55))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6861, 6860])).
% 24.79/16.14 tff(6863,plain,
% 24.79/16.14 (v104(constB56) | (~v102(constB55))),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6862, 295, 6856])).
% 24.79/16.14 tff(6864,plain,
% 24.79/16.14 (v104(constB56)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6863, 6853])).
% 24.79/16.14 tff(6865,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6866,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56)))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6867,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB55) | (~nextState(constB55, constB56)) | (~v98(constB56))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6866, 6865])).
% 24.79/16.14 tff(6868,plain,
% 24.79/16.14 (~v98(constB56)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6867, 313, 6856, 6680])).
% 24.79/16.14 tff(6869,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6870,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB55, constB56)) | v96(constB56) | v98(constB56))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6871,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB55, constB56)) | v96(constB56) | v98(constB56)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6870, 6869])).
% 24.79/16.14 tff(6872,plain,
% 24.79/16.14 (v96(constB56) | v98(constB56)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6871, 327, 6856])).
% 24.79/16.14 tff(6873,plain,
% 24.79/16.14 (v96(constB56)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6872, 6868])).
% 24.79/16.14 tff(6874,plain,
% 24.79/16.14 (v1(constB56) <=> v1(constB56)),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6875,axiom,(v1(constB56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_56_1')).
% 24.79/16.14 tff(6876,plain,
% 24.79/16.14 (v1(constB56)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6875, 6874])).
% 24.79/16.14 tff(6877,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6878,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56)))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6879,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB55, constB56)) | v95(constB56) | (~v96(constB56)) | (~v1(constB56))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6878, 6877])).
% 24.79/16.14 tff(6880,plain,
% 24.79/16.14 (v95(constB56) | (~v96(constB56))),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6879, 345, 6856, 6876])).
% 24.79/16.14 tff(6881,plain,
% 24.79/16.14 (v95(constB56)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6880, 6873])).
% 24.79/16.14 tff(6882,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6883,plain,
% 24.79/16.14 (((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56)) <=> ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6884,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56))))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6883])).
% 24.79/16.14 tff(6885,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56)))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6884, 6882])).
% 24.79/16.14 tff(6886,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB55, constB56)) | (~v95(constB56)) | (~v104(constB56)) | v94(constB56))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6887,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB55, constB56)) | v94(constB56) | (~v95(constB56)) | (~v104(constB56))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 24.79/16.14 tff(6888,plain,
% 24.79/16.14 (v94(constB56) | (~v95(constB56)) | (~v104(constB56))),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6887, 360, 6856])).
% 24.79/16.14 tff(6889,plain,
% 24.79/16.14 (v94(constB56) | (~v104(constB56))),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6888, 6881])).
% 24.79/16.14 tff(6890,plain,
% 24.79/16.14 (v94(constB56)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6889, 6864])).
% 24.79/16.14 tff(6891,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB55)) | v124(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB55)) | v124(constB55, bitIndex2))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6892,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB55)) | v124(constB55, bitIndex2))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6893,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB55)) | v124(constB55, bitIndex2)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 24.79/16.14 tff(6894,plain,
% 24.79/16.14 (v124(constB55, bitIndex2)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6893, 1273, 6812])).
% 24.79/16.14 tff(6895,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6896,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6897,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB55) | (~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6896, 6895])).
% 24.79/16.14 tff(6898,plain,
% 24.79/16.14 ((~v124(constB55, bitIndex2)) | v121(constB55, bitIndex2)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6897, 1287, 6841])).
% 24.79/16.14 tff(6899,plain,
% 24.79/16.14 (v121(constB55, bitIndex2)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6898, 6894])).
% 24.79/16.14 tff(6900,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6901,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6902,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB55, constB56)) | (~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6901, 6900])).
% 24.79/16.14 tff(6903,plain,
% 24.79/16.14 ((~v121(constB55, bitIndex2)) | v123(constB56, bitIndex2)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6902, 1302, 6856])).
% 24.79/16.14 tff(6904,plain,
% 24.79/16.14 (v123(constB56, bitIndex2)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6903, 6899])).
% 24.79/16.14 tff(6905,plain,
% 24.79/16.14 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6906,plain,
% 24.79/16.14 ((v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2))) <=> (v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6907,plain,
% 24.79/16.14 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56))))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6906])).
% 24.79/16.14 tff(6908,plain,
% 24.79/16.14 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56)))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6907, 6905])).
% 24.79/16.14 tff(6909,plain,
% 24.79/16.14 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB56, bitIndex2) | (~v94(constB56)) | (~v123(constB56, bitIndex2)))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6910,plain,
% 24.79/16.14 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2)) | (~v94(constB56))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 24.79/16.14 tff(6911,plain,
% 24.79/16.14 (v84(constB56, bitIndex2) | (~v94(constB56))),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6910, 1317, 6904])).
% 24.79/16.14 tff(6912,plain,
% 24.79/16.14 (v84(constB56, bitIndex2)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6911, 6890])).
% 24.79/16.14 tff(6913,plain,
% 24.79/16.14 ((~v1(constB57)) <=> (~v1(constB57))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6914,axiom,(~v1(constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_57_1_1')).
% 24.79/16.14 tff(6915,plain,
% 24.79/16.14 (~v1(constB57)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6914, 6913])).
% 24.79/16.14 tff(6916,plain,
% 24.79/16.14 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6917,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_56_1')).
% 24.79/16.14 tff(6918,plain,
% 24.79/16.14 (nextState(constB56, constB57)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6917, 6916])).
% 24.79/16.14 tff(6919,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6920,plain,
% 24.79/16.14 (((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57)) <=> (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6921,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57))))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6920])).
% 24.79/16.14 tff(6922,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57)))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6921, 6919])).
% 24.79/16.14 tff(6923,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB56, constB57)) | (~v95(constB57)) | v1(constB57))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6924,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB57) | (~nextState(constB56, constB57)) | (~v95(constB57))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6923, 6922])).
% 24.79/16.14 tff(6925,plain,
% 24.79/16.14 (~v95(constB57)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6924, 73, 6918, 6915])).
% 24.79/16.14 tff(6926,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6927,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57)))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6928,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB56, constB57)) | v95(constB57) | (~v94(constB57))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6927, 6926])).
% 24.79/16.14 tff(6929,plain,
% 24.79/16.14 (v95(constB57) | (~v94(constB57))),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6928, 90, 6918])).
% 24.79/16.14 tff(6930,plain,
% 24.79/16.14 (~v94(constB57)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6929, 6925])).
% 24.79/16.14 tff(6931,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6932,plain,
% 24.79/16.14 (((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2)) <=> ((~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6933,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2)))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6932])).
% 24.79/16.14 tff(6934,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6933, 6931])).
% 24.79/16.14 tff(6935,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB56, constB57)) | (~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6936,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB56, bitIndex2)) | (~nextState(constB56, constB57)) | v94(constB57) | v84(constB57, bitIndex2)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 24.79/16.14 tff(6937,plain,
% 24.79/16.14 ((~v84(constB56, bitIndex2)) | v94(constB57) | v84(constB57, bitIndex2)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6936, 1353, 6918])).
% 24.79/16.14 tff(6938,plain,
% 24.79/16.14 ((~v84(constB56, bitIndex2)) | v84(constB57, bitIndex2)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6937, 6930])).
% 24.79/16.14 tff(6939,plain,
% 24.79/16.14 (v84(constB57, bitIndex2)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6938, 6912])).
% 24.79/16.14 tff(6940,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB55)) | (~v124(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB55)) | (~v124(constB55, bitIndex1)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6941,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB55)) | (~v124(constB55, bitIndex1)))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6942,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB55)) | (~v124(constB55, bitIndex1))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 24.79/16.14 tff(6943,plain,
% 24.79/16.14 (~v124(constB55, bitIndex1)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6942, 1369, 6812])).
% 24.79/16.14 tff(6944,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6945,plain,
% 24.79/16.14 ((v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1))) <=> ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6946,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1)))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6945])).
% 24.79/16.14 tff(6947,plain,
% 24.79/16.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6946, 6944])).
% 24.79/16.14 tff(6948,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB55) | v124(constB55, bitIndex1) | (~v121(constB55, bitIndex1)))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6949,plain,
% 24.79/16.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB55, bitIndex1)) | v26(constB55) | v124(constB55, bitIndex1)),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6948, 6947])).
% 24.79/16.14 tff(6950,plain,
% 24.79/16.14 ((~v121(constB55, bitIndex1)) | v124(constB55, bitIndex1)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6949, 476, 6841])).
% 24.79/16.14 tff(6951,plain,
% 24.79/16.14 (~v121(constB55, bitIndex1)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6950, 6943])).
% 24.79/16.14 tff(6952,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6953,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1)))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6954,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6953, 6952])).
% 24.79/16.14 tff(6955,plain,
% 24.79/16.14 (v121(constB55, bitIndex1) | (~v123(constB56, bitIndex1))),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6954, 494, 6856])).
% 24.79/16.14 tff(6956,plain,
% 24.79/16.14 (~v123(constB56, bitIndex1)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6955, 6951])).
% 24.79/16.14 tff(6957,plain,
% 24.79/16.14 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6958,plain,
% 24.79/16.14 (((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1)) <=> ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6959,plain,
% 24.79/16.14 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56))))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6958])).
% 24.79/16.14 tff(6960,plain,
% 24.79/16.14 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56)))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6959, 6957])).
% 24.79/16.14 tff(6961,plain,
% 24.79/16.14 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB56, bitIndex1)) | (~v94(constB56)) | v123(constB56, bitIndex1))),
% 24.79/16.14 inference(quant_inst,[status(thm)],[])).
% 24.79/16.14 tff(6962,plain,
% 24.79/16.14 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1) | (~v94(constB56))),
% 24.79/16.14 inference(modus_ponens,[status(thm)],[6961, 6960])).
% 24.79/16.14 tff(6963,plain,
% 24.79/16.14 ((~v84(constB56, bitIndex1)) | (~v94(constB56))),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6962, 509, 6956])).
% 24.79/16.14 tff(6964,plain,
% 24.79/16.14 (~v84(constB56, bitIndex1)),
% 24.79/16.14 inference(unit_resolution,[status(thm)],[6963, 6890])).
% 24.79/16.14 tff(6965,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6966,plain,
% 24.79/16.14 (((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1))) <=> (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 24.79/16.14 inference(rewrite,[status(thm)],[])).
% 24.79/16.14 tff(6967,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1))))),
% 24.79/16.14 inference(monotonicity,[status(thm)],[6966])).
% 24.79/16.14 tff(6968,plain,
% 24.79/16.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 24.79/16.14 inference(transitivity,[status(thm)],[6967, 6965])).
% 24.79/16.14 tff(6969,plain,
% 24.79/16.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(6970,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB56, bitIndex1) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex1))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 24.79/16.15 tff(6971,plain,
% 24.79/16.15 (v84(constB56, bitIndex1) | v94(constB57) | (~v84(constB57, bitIndex1))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6970, 126, 6918])).
% 24.79/16.15 tff(6972,plain,
% 24.79/16.15 (v84(constB56, bitIndex1) | (~v84(constB57, bitIndex1))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6971, 6930])).
% 24.79/16.15 tff(6973,plain,
% 24.79/16.15 (~v84(constB57, bitIndex1)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6972, 6964])).
% 24.79/16.15 tff(6974,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB55)) | (~v124(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB55)) | (~v124(constB55, bitIndex0)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(6975,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB55)) | (~v124(constB55, bitIndex0)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(6976,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB55)) | (~v124(constB55, bitIndex0))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[6975, 6974])).
% 24.79/16.15 tff(6977,plain,
% 24.79/16.15 (~v124(constB55, bitIndex0)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6976, 1410, 6812])).
% 24.79/16.15 tff(6978,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(6979,plain,
% 24.79/16.15 ((v26(constB55) | v124(constB55, bitIndex0) | (~v121(constB55, bitIndex0))) <=> ((~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(6980,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB55) | v124(constB55, bitIndex0) | (~v121(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0)))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[6979])).
% 24.79/16.15 tff(6981,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB55) | v124(constB55, bitIndex0) | (~v121(constB55, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0))),
% 24.79/16.15 inference(transitivity,[status(thm)],[6980, 6978])).
% 24.79/16.15 tff(6982,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB55) | v124(constB55, bitIndex0) | (~v121(constB55, bitIndex0)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(6983,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB55, bitIndex0)) | v26(constB55) | v124(constB55, bitIndex0)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[6982, 6981])).
% 24.79/16.15 tff(6984,plain,
% 24.79/16.15 ((~v121(constB55, bitIndex0)) | v124(constB55, bitIndex0)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6983, 890, 6841])).
% 24.79/16.15 tff(6985,plain,
% 24.79/16.15 (~v121(constB55, bitIndex0)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6984, 6977])).
% 24.79/16.15 tff(6986,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(6987,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB55, constB56)) | v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(6988,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB55, constB56)) | v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 24.79/16.15 tff(6989,plain,
% 24.79/16.15 (v121(constB55, bitIndex0) | (~v123(constB56, bitIndex0))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6988, 908, 6856])).
% 24.79/16.15 tff(6990,plain,
% 24.79/16.15 (~v123(constB56, bitIndex0)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6989, 6985])).
% 24.79/16.15 tff(6991,plain,
% 24.79/16.15 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(6992,plain,
% 24.79/16.15 (((~v84(constB56, bitIndex0)) | (~v94(constB56)) | v123(constB56, bitIndex0)) <=> ((~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(6993,plain,
% 24.79/16.15 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~v94(constB56)) | v123(constB56, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56))))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[6992])).
% 24.79/16.15 tff(6994,plain,
% 24.79/16.15 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~v94(constB56)) | v123(constB56, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56)))),
% 24.79/16.15 inference(transitivity,[status(thm)],[6993, 6991])).
% 24.79/16.15 tff(6995,plain,
% 24.79/16.15 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB56, bitIndex0)) | (~v94(constB56)) | v123(constB56, bitIndex0))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(6996,plain,
% 24.79/16.15 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0) | (~v94(constB56))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 24.79/16.15 tff(6997,plain,
% 24.79/16.15 ((~v84(constB56, bitIndex0)) | (~v94(constB56))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6996, 923, 6990])).
% 24.79/16.15 tff(6998,plain,
% 24.79/16.15 (~v84(constB56, bitIndex0)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[6997, 6890])).
% 24.79/16.15 tff(6999,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7000,plain,
% 24.79/16.15 (((~nextState(constB56, constB57)) | v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0))) <=> (v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7001,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0))))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[7000])).
% 24.79/16.15 tff(7002,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0)))),
% 24.79/16.15 inference(transitivity,[status(thm)],[7001, 6999])).
% 24.79/16.15 tff(7003,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB56, constB57)) | v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7004,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB56, bitIndex0) | (~nextState(constB56, constB57)) | v94(constB57) | (~v84(constB57, bitIndex0))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 24.79/16.15 tff(7005,plain,
% 24.79/16.15 (v84(constB56, bitIndex0) | v94(constB57) | (~v84(constB57, bitIndex0))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7004, 147, 6918])).
% 24.79/16.15 tff(7006,plain,
% 24.79/16.15 (v84(constB56, bitIndex0) | (~v84(constB57, bitIndex0))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7005, 6930])).
% 24.79/16.15 tff(7007,plain,
% 24.79/16.15 (~v84(constB57, bitIndex0)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7006, 6998])).
% 24.79/16.15 tff(7008,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)) | v172(constB57))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)) | v172(constB57))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7009,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)) | v172(constB57))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7010,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)) | v172(constB57)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 24.79/16.15 tff(7011,plain,
% 24.79/16.15 (v172(constB57)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7010, 1454, 7007, 6973, 6939])).
% 24.79/16.15 tff(7012,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB57) | (~v172(constB57)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB57) | (~v172(constB57)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7013,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB57) | (~v172(constB57)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7014,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB57) | (~v172(constB57))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7013, 7012])).
% 24.79/16.15 tff(7015,plain,
% 24.79/16.15 (v109(constB57)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7014, 1468, 7011])).
% 24.79/16.15 tff(7016,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB57)) | v108(constB57))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB57)) | v108(constB57))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7017,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB57)) | v108(constB57))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7018,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB57)) | v108(constB57)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7017, 7016])).
% 24.79/16.15 tff(7019,plain,
% 24.79/16.15 (v108(constB57)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7018, 235, 7015])).
% 24.79/16.15 tff(7020,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB57)) | v107(constB57))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB57)) | v107(constB57))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7021,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB57)) | v107(constB57))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7022,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB57)) | v107(constB57)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7021, 7020])).
% 24.79/16.15 tff(7023,plain,
% 24.79/16.15 (v107(constB57)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7022, 249, 7019])).
% 24.79/16.15 tff(7024,assumption,(v26(constB57)), introduced(assumption)).
% 24.79/16.15 tff(7025,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB57))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7026,plain,
% 24.79/16.15 ($false),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7025, 18, 7024])).
% 24.79/16.15 tff(7027,plain,(~v26(constB57)), inference(lemma,lemma(discharge,[]))).
% 24.79/16.15 tff(7028,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | v106(constB57) | (~v107(constB57)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | v106(constB57) | (~v107(constB57)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7029,plain,
% 24.79/16.15 ((v26(constB57) | (~v107(constB57)) | v106(constB57)) <=> (v26(constB57) | v106(constB57) | (~v107(constB57)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7030,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | v106(constB57) | (~v107(constB57))))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[7029])).
% 24.79/16.15 tff(7031,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | v106(constB57) | (~v107(constB57)))),
% 24.79/16.15 inference(transitivity,[status(thm)],[7030, 7028])).
% 24.79/16.15 tff(7032,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB57) | (~v107(constB57)) | v106(constB57))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7033,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB57) | v106(constB57) | (~v107(constB57))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7032, 7031])).
% 24.79/16.15 tff(7034,plain,
% 24.79/16.15 (v106(constB57) | (~v107(constB57))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7033, 263, 7027])).
% 24.79/16.15 tff(7035,plain,
% 24.79/16.15 (v106(constB57)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7034, 7023])).
% 24.79/16.15 tff(7036,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB57) | (~v106(constB57)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB57) | (~v106(constB57)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7037,plain,
% 24.79/16.15 (((~v106(constB57)) | v102(constB57)) <=> (v102(constB57) | (~v106(constB57)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7038,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB57)) | v102(constB57))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB57) | (~v106(constB57))))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[7037])).
% 24.79/16.15 tff(7039,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB57)) | v102(constB57))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB57) | (~v106(constB57)))),
% 24.79/16.15 inference(transitivity,[status(thm)],[7038, 7036])).
% 24.79/16.15 tff(7040,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB57)) | v102(constB57))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7041,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB57) | (~v106(constB57))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7040, 7039])).
% 24.79/16.15 tff(7042,plain,
% 24.79/16.15 (v102(constB57)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7041, 275, 7035])).
% 24.79/16.15 tff(7043,plain,
% 24.79/16.15 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7044,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_57_1')).
% 24.79/16.15 tff(7045,plain,
% 24.79/16.15 (nextState(constB57, constB58)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7044, 7043])).
% 24.79/16.15 tff(7046,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7047,plain,
% 24.79/16.15 (((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58)) <=> ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7048,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57))))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[7047])).
% 24.79/16.15 tff(7049,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57)))),
% 24.79/16.15 inference(transitivity,[status(thm)],[7048, 7046])).
% 24.79/16.15 tff(7050,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB57, constB58)) | (~v102(constB57)) | v104(constB58))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7051,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB57, constB58)) | v104(constB58) | (~v102(constB57))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7050, 7049])).
% 24.79/16.15 tff(7052,plain,
% 24.79/16.15 (v104(constB58) | (~v102(constB57))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7051, 295, 7045])).
% 24.79/16.15 tff(7053,plain,
% 24.79/16.15 (v104(constB58)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7052, 7042])).
% 24.79/16.15 tff(7054,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7055,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7056,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB57) | (~nextState(constB57, constB58)) | (~v98(constB58))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7055, 7054])).
% 24.79/16.15 tff(7057,plain,
% 24.79/16.15 (~v98(constB58)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7056, 313, 7045, 6915])).
% 24.79/16.15 tff(7058,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7059,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB57, constB58)) | v96(constB58) | v98(constB58))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7060,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB57, constB58)) | v96(constB58) | v98(constB58)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7059, 7058])).
% 24.79/16.15 tff(7061,plain,
% 24.79/16.15 (v96(constB58) | v98(constB58)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7060, 327, 7045])).
% 24.79/16.15 tff(7062,plain,
% 24.79/16.15 (v96(constB58)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7061, 7057])).
% 24.79/16.15 tff(7063,plain,
% 24.79/16.15 (v1(constB58) <=> v1(constB58)),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7064,axiom,(v1(constB58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_58_1')).
% 24.79/16.15 tff(7065,plain,
% 24.79/16.15 (v1(constB58)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 24.79/16.15 tff(7066,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7067,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7068,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB57, constB58)) | v95(constB58) | (~v96(constB58)) | (~v1(constB58))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7067, 7066])).
% 24.79/16.15 tff(7069,plain,
% 24.79/16.15 (v95(constB58) | (~v96(constB58))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7068, 345, 7045, 7065])).
% 24.79/16.15 tff(7070,plain,
% 24.79/16.15 (v95(constB58)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7069, 7062])).
% 24.79/16.15 tff(7071,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7072,plain,
% 24.79/16.15 (((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58)) <=> ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7073,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58))))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[7072])).
% 24.79/16.15 tff(7074,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58)))),
% 24.79/16.15 inference(transitivity,[status(thm)],[7073, 7071])).
% 24.79/16.15 tff(7075,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB57, constB58)) | (~v95(constB58)) | (~v104(constB58)) | v94(constB58))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7076,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB57, constB58)) | v94(constB58) | (~v95(constB58)) | (~v104(constB58))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 24.79/16.15 tff(7077,plain,
% 24.79/16.15 (v94(constB58) | (~v95(constB58)) | (~v104(constB58))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7076, 360, 7045])).
% 24.79/16.15 tff(7078,plain,
% 24.79/16.15 (v94(constB58) | (~v104(constB58))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7077, 7070])).
% 24.79/16.15 tff(7079,plain,
% 24.79/16.15 (v94(constB58)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7078, 7053])).
% 24.79/16.15 tff(7080,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB57)) | v124(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB57)) | v124(constB57, bitIndex2))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7081,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB57)) | v124(constB57, bitIndex2))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7082,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB57)) | v124(constB57, bitIndex2)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7081, 7080])).
% 24.79/16.15 tff(7083,plain,
% 24.79/16.15 (v124(constB57, bitIndex2)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7082, 1539, 7011])).
% 24.79/16.15 tff(7084,plain,
% 24.79/16.15 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB57) | (~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB57) | (~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7085,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB57) | (~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7086,plain,
% 24.79/16.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB57) | (~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7085, 7084])).
% 24.79/16.15 tff(7087,plain,
% 24.79/16.15 ((~v124(constB57, bitIndex2)) | v121(constB57, bitIndex2)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7086, 1287, 7027])).
% 24.79/16.15 tff(7088,plain,
% 24.79/16.15 (v121(constB57, bitIndex2)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7087, 7083])).
% 24.79/16.15 tff(7089,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7090,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7091,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7090, 7089])).
% 24.79/16.15 tff(7092,plain,
% 24.79/16.15 ((~v121(constB57, bitIndex2)) | v123(constB58, bitIndex2)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7091, 1302, 7045])).
% 24.79/16.15 tff(7093,plain,
% 24.79/16.15 (v123(constB58, bitIndex2)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7092, 7088])).
% 24.79/16.15 tff(7094,plain,
% 24.79/16.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7095,plain,
% 24.79/16.15 ((v84(constB58, bitIndex2) | (~v94(constB58)) | (~v123(constB58, bitIndex2))) <=> (v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7096,plain,
% 24.79/16.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v94(constB58)) | (~v123(constB58, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58))))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[7095])).
% 24.79/16.15 tff(7097,plain,
% 24.79/16.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v94(constB58)) | (~v123(constB58, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58)))),
% 24.79/16.15 inference(transitivity,[status(thm)],[7096, 7094])).
% 24.79/16.15 tff(7098,plain,
% 24.79/16.15 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB58, bitIndex2) | (~v94(constB58)) | (~v123(constB58, bitIndex2)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7099,plain,
% 24.79/16.15 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2)) | (~v94(constB58))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7098, 7097])).
% 24.79/16.15 tff(7100,plain,
% 24.79/16.15 (v84(constB58, bitIndex2) | (~v94(constB58))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7099, 1317, 7093])).
% 24.79/16.15 tff(7101,plain,
% 24.79/16.15 (v84(constB58, bitIndex2)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7100, 7079])).
% 24.79/16.15 tff(7102,plain,
% 24.79/16.15 ((~v1(constB59)) <=> (~v1(constB59))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7103,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 24.79/16.15 tff(7104,plain,
% 24.79/16.15 (~v1(constB59)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7103, 7102])).
% 24.79/16.15 tff(7105,plain,
% 24.79/16.15 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7106,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_58_1')).
% 24.79/16.15 tff(7107,plain,
% 24.79/16.15 (nextState(constB58, constB59)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7106, 7105])).
% 24.79/16.15 tff(7108,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7109,plain,
% 24.79/16.15 (((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59)) <=> (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7110,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59))))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[7109])).
% 24.79/16.15 tff(7111,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59)))),
% 24.79/16.15 inference(transitivity,[status(thm)],[7110, 7108])).
% 24.79/16.15 tff(7112,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB58, constB59)) | (~v95(constB59)) | v1(constB59))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7113,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB59) | (~nextState(constB58, constB59)) | (~v95(constB59))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7112, 7111])).
% 24.79/16.15 tff(7114,plain,
% 24.79/16.15 (~v95(constB59)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7113, 73, 7107, 7104])).
% 24.79/16.15 tff(7115,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7116,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59)))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7117,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB58, constB59)) | v95(constB59) | (~v94(constB59))),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 24.79/16.15 tff(7118,plain,
% 24.79/16.15 (v95(constB59) | (~v94(constB59))),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7117, 90, 7107])).
% 24.79/16.15 tff(7119,plain,
% 24.79/16.15 (~v94(constB59)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7118, 7114])).
% 24.79/16.15 tff(7120,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7121,plain,
% 24.79/16.15 (((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2)) <=> ((~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2))),
% 24.79/16.15 inference(rewrite,[status(thm)],[])).
% 24.79/16.15 tff(7122,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2)))),
% 24.79/16.15 inference(monotonicity,[status(thm)],[7121])).
% 24.79/16.15 tff(7123,plain,
% 24.79/16.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2))),
% 24.79/16.15 inference(transitivity,[status(thm)],[7122, 7120])).
% 24.79/16.15 tff(7124,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2))),
% 24.79/16.15 inference(quant_inst,[status(thm)],[])).
% 24.79/16.15 tff(7125,plain,
% 24.79/16.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB58, bitIndex2)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex2)),
% 24.79/16.15 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 24.79/16.15 tff(7126,plain,
% 24.79/16.15 ((~v84(constB58, bitIndex2)) | v94(constB59) | v84(constB59, bitIndex2)),
% 24.79/16.15 inference(unit_resolution,[status(thm)],[7125, 1353, 7107])).
% 24.79/16.16 tff(7127,plain,
% 24.79/16.16 ((~v84(constB58, bitIndex2)) | v84(constB59, bitIndex2)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7126, 7119])).
% 24.79/16.16 tff(7128,plain,
% 24.79/16.16 (v84(constB59, bitIndex2)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7127, 7101])).
% 24.79/16.16 tff(7129,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB57)) | (~v124(constB57, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB57)) | (~v124(constB57, bitIndex1)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7130,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB57)) | (~v124(constB57, bitIndex1)))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7131,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB57)) | (~v124(constB57, bitIndex1))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7130, 7129])).
% 24.79/16.16 tff(7132,plain,
% 24.79/16.16 (~v124(constB57, bitIndex1)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7131, 1595, 7011])).
% 24.79/16.16 tff(7133,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7134,plain,
% 24.79/16.16 ((v26(constB57) | v124(constB57, bitIndex1) | (~v121(constB57, bitIndex1))) <=> ((~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7135,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB57) | v124(constB57, bitIndex1) | (~v121(constB57, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1)))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7134])).
% 24.79/16.16 tff(7136,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB57) | v124(constB57, bitIndex1) | (~v121(constB57, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7135, 7133])).
% 24.79/16.16 tff(7137,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB57) | v124(constB57, bitIndex1) | (~v121(constB57, bitIndex1)))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7138,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB57, bitIndex1)) | v26(constB57) | v124(constB57, bitIndex1)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7137, 7136])).
% 24.79/16.16 tff(7139,plain,
% 24.79/16.16 ((~v121(constB57, bitIndex1)) | v124(constB57, bitIndex1)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7138, 476, 7027])).
% 24.79/16.16 tff(7140,plain,
% 24.79/16.16 (~v121(constB57, bitIndex1)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7139, 7132])).
% 24.79/16.16 tff(7141,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7142,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB57, constB58)) | v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1)))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7143,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB57, constB58)) | v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7142, 7141])).
% 24.79/16.16 tff(7144,plain,
% 24.79/16.16 (v121(constB57, bitIndex1) | (~v123(constB58, bitIndex1))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7143, 494, 7045])).
% 24.79/16.16 tff(7145,plain,
% 24.79/16.16 (~v123(constB58, bitIndex1)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7144, 7140])).
% 24.79/16.16 tff(7146,plain,
% 24.79/16.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7147,plain,
% 24.79/16.16 (((~v84(constB58, bitIndex1)) | (~v94(constB58)) | v123(constB58, bitIndex1)) <=> ((~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7148,plain,
% 24.79/16.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~v94(constB58)) | v123(constB58, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58))))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7147])).
% 24.79/16.16 tff(7149,plain,
% 24.79/16.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~v94(constB58)) | v123(constB58, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58)))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7148, 7146])).
% 24.79/16.16 tff(7150,plain,
% 24.79/16.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB58, bitIndex1)) | (~v94(constB58)) | v123(constB58, bitIndex1))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7151,plain,
% 24.79/16.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1) | (~v94(constB58))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7150, 7149])).
% 24.79/16.16 tff(7152,plain,
% 24.79/16.16 ((~v84(constB58, bitIndex1)) | (~v94(constB58))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7151, 509, 7145])).
% 24.79/16.16 tff(7153,plain,
% 24.79/16.16 (~v84(constB58, bitIndex1)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7152, 7079])).
% 24.79/16.16 tff(7154,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7155,plain,
% 24.79/16.16 (((~nextState(constB58, constB59)) | v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1))) <=> (v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7156,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1))))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7155])).
% 24.79/16.16 tff(7157,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1)))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7156, 7154])).
% 24.79/16.16 tff(7158,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB58, constB59)) | v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1)))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7159,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB58, bitIndex1) | (~nextState(constB58, constB59)) | v94(constB59) | (~v84(constB59, bitIndex1))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7158, 7157])).
% 24.79/16.16 tff(7160,plain,
% 24.79/16.16 (v84(constB58, bitIndex1) | v94(constB59) | (~v84(constB59, bitIndex1))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7159, 126, 7107])).
% 24.79/16.16 tff(7161,plain,
% 24.79/16.16 (v84(constB58, bitIndex1) | (~v84(constB59, bitIndex1))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7160, 7119])).
% 24.79/16.16 tff(7162,plain,
% 24.79/16.16 (~v84(constB59, bitIndex1)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7161, 7153])).
% 24.79/16.16 tff(7163,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB57)) | v124(constB57, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB57)) | v124(constB57, bitIndex0))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7164,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB57)) | v124(constB57, bitIndex0))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7165,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB57)) | v124(constB57, bitIndex0)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7164, 7163])).
% 24.79/16.16 tff(7166,plain,
% 24.79/16.16 (v124(constB57, bitIndex0)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7165, 1636, 7011])).
% 24.79/16.16 tff(7167,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB57) | (~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB57) | (~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7168,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB57) | (~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7169,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB57) | (~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7168, 7167])).
% 24.79/16.16 tff(7170,plain,
% 24.79/16.16 ((~v124(constB57, bitIndex0)) | v121(constB57, bitIndex0)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7169, 547, 7027])).
% 24.79/16.16 tff(7171,plain,
% 24.79/16.16 (v121(constB57, bitIndex0)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7170, 7166])).
% 24.79/16.16 tff(7172,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7173,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB57, constB58)) | (~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7174,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB57, constB58)) | (~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7173, 7172])).
% 24.79/16.16 tff(7175,plain,
% 24.79/16.16 ((~v121(constB57, bitIndex0)) | v123(constB58, bitIndex0)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7174, 562, 7045])).
% 24.79/16.16 tff(7176,plain,
% 24.79/16.16 (v123(constB58, bitIndex0)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7175, 7171])).
% 24.79/16.16 tff(7177,plain,
% 24.79/16.16 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7178,plain,
% 24.79/16.16 ((v84(constB58, bitIndex0) | (~v94(constB58)) | (~v123(constB58, bitIndex0))) <=> (v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7179,plain,
% 24.79/16.16 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v94(constB58)) | (~v123(constB58, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58))))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7178])).
% 24.79/16.16 tff(7180,plain,
% 24.79/16.16 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v94(constB58)) | (~v123(constB58, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58)))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7179, 7177])).
% 24.79/16.16 tff(7181,plain,
% 24.79/16.16 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB58, bitIndex0) | (~v94(constB58)) | (~v123(constB58, bitIndex0)))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7182,plain,
% 24.79/16.16 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0)) | (~v94(constB58))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7181, 7180])).
% 24.79/16.16 tff(7183,plain,
% 24.79/16.16 (v84(constB58, bitIndex0) | (~v94(constB58))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7182, 577, 7176])).
% 24.79/16.16 tff(7184,plain,
% 24.79/16.16 (v84(constB58, bitIndex0)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7183, 7079])).
% 24.79/16.16 tff(7185,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7186,plain,
% 24.79/16.16 (((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0)) <=> ((~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7187,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0)))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7186])).
% 24.79/16.16 tff(7188,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7187, 7185])).
% 24.79/16.16 tff(7189,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB58, constB59)) | (~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7190,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB58, bitIndex0)) | (~nextState(constB58, constB59)) | v94(constB59) | v84(constB59, bitIndex0)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 24.79/16.16 tff(7191,plain,
% 24.79/16.16 ((~v84(constB58, bitIndex0)) | v94(constB59) | v84(constB59, bitIndex0)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7190, 595, 7107])).
% 24.79/16.16 tff(7192,plain,
% 24.79/16.16 ((~v84(constB58, bitIndex0)) | v84(constB59, bitIndex0)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7191, 7119])).
% 24.79/16.16 tff(7193,plain,
% 24.79/16.16 (v84(constB59, bitIndex0)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7192, 7184])).
% 24.79/16.16 tff(7194,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7195,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7196,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 24.79/16.16 tff(7197,plain,
% 24.79/16.16 (v118(constB59)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7196, 1677, 7193, 7162, 7128])).
% 24.79/16.16 tff(7198,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB59)) | v108(constB59))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB59)) | v108(constB59))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7199,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB59)) | v108(constB59))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7200,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB59)) | v108(constB59)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 24.79/16.16 tff(7201,plain,
% 24.79/16.16 (v108(constB59)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7200, 1688, 7197])).
% 24.79/16.16 tff(7202,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB59) | (~v108(constB59)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB59) | (~v108(constB59)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7203,plain,
% 24.79/16.16 (((~v108(constB59)) | v107(constB59)) <=> (v107(constB59) | (~v108(constB59)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7204,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB59)) | v107(constB59))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB59) | (~v108(constB59))))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7203])).
% 24.79/16.16 tff(7205,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB59)) | v107(constB59))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB59) | (~v108(constB59)))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7204, 7202])).
% 24.79/16.16 tff(7206,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB59)) | v107(constB59))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7207,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB59) | (~v108(constB59))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 24.79/16.16 tff(7208,plain,
% 24.79/16.16 (v107(constB59)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7207, 249, 7201])).
% 24.79/16.16 tff(7209,assumption,(v26(constB59)), introduced(assumption)).
% 24.79/16.16 tff(7210,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB59))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7211,plain,
% 24.79/16.16 ($false),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7210, 18, 7209])).
% 24.79/16.16 tff(7212,plain,(~v26(constB59)), inference(lemma,lemma(discharge,[]))).
% 24.79/16.16 tff(7213,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7214,plain,
% 24.79/16.16 ((v26(constB59) | (~v107(constB59)) | v106(constB59)) <=> (v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7215,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59))))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7214])).
% 24.79/16.16 tff(7216,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7215, 7213])).
% 24.79/16.16 tff(7217,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7218,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 24.79/16.16 tff(7219,plain,
% 24.79/16.16 (v106(constB59) | (~v107(constB59))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7218, 263, 7212])).
% 24.79/16.16 tff(7220,plain,
% 24.79/16.16 (v106(constB59)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7219, 7208])).
% 24.79/16.16 tff(7221,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB59) | (~v106(constB59)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB59) | (~v106(constB59)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7222,plain,
% 24.79/16.16 (((~v106(constB59)) | v102(constB59)) <=> (v102(constB59) | (~v106(constB59)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7223,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB59)) | v102(constB59))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB59) | (~v106(constB59))))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7222])).
% 24.79/16.16 tff(7224,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB59)) | v102(constB59))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB59) | (~v106(constB59)))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7223, 7221])).
% 24.79/16.16 tff(7225,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB59)) | v102(constB59))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7226,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB59) | (~v106(constB59))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7225, 7224])).
% 24.79/16.16 tff(7227,plain,
% 24.79/16.16 (v102(constB59)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7226, 275, 7220])).
% 24.79/16.16 tff(7228,plain,
% 24.79/16.16 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7229,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 24.79/16.16 tff(7230,plain,
% 24.79/16.16 (nextState(constB59, constB60)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7229, 7228])).
% 24.79/16.16 tff(7231,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7232,plain,
% 24.79/16.16 (((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60)) <=> ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7233,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7232])).
% 24.79/16.16 tff(7234,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7233, 7231])).
% 24.79/16.16 tff(7235,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7236,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 24.79/16.16 tff(7237,plain,
% 24.79/16.16 (v104(constB60) | (~v102(constB59))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7236, 295, 7230])).
% 24.79/16.16 tff(7238,plain,
% 24.79/16.16 (v104(constB60)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7237, 7227])).
% 24.79/16.16 tff(7239,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7240,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7241,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7240, 7239])).
% 24.79/16.16 tff(7242,plain,
% 24.79/16.16 (~v98(constB60)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7241, 313, 7230, 7104])).
% 24.79/16.16 tff(7243,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7244,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7245,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 24.79/16.16 tff(7246,plain,
% 24.79/16.16 (v96(constB60) | v98(constB60)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7245, 327, 7230])).
% 24.79/16.16 tff(7247,plain,
% 24.79/16.16 (v96(constB60)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7246, 7242])).
% 24.79/16.16 tff(7248,plain,
% 24.79/16.16 (v1(constB60) <=> v1(constB60)),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7249,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 24.79/16.16 tff(7250,plain,
% 24.79/16.16 (v1(constB60)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7249, 7248])).
% 24.79/16.16 tff(7251,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7252,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7253,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7252, 7251])).
% 24.79/16.16 tff(7254,plain,
% 24.79/16.16 (v95(constB60) | (~v96(constB60))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7253, 345, 7230, 7250])).
% 24.79/16.16 tff(7255,plain,
% 24.79/16.16 (v95(constB60)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7254, 7247])).
% 24.79/16.16 tff(7256,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7257,plain,
% 24.79/16.16 (((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60)) <=> ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7258,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60))))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7257])).
% 24.79/16.16 tff(7259,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60)))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7258, 7256])).
% 24.79/16.16 tff(7260,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7261,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | v94(constB60) | (~v95(constB60)) | (~v104(constB60))),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7260, 7259])).
% 24.79/16.16 tff(7262,plain,
% 24.79/16.16 (v94(constB60) | (~v95(constB60)) | (~v104(constB60))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7261, 360, 7230])).
% 24.79/16.16 tff(7263,plain,
% 24.79/16.16 (v94(constB60) | (~v104(constB60))),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7262, 7255])).
% 24.79/16.16 tff(7264,plain,
% 24.79/16.16 (v94(constB60)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7263, 7238])).
% 24.79/16.16 tff(7265,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB59)) | v124(constB59, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB59)) | v124(constB59, bitIndex2))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7266,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB59)) | v124(constB59, bitIndex2))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7267,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB59)) | v124(constB59, bitIndex2)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 24.79/16.16 tff(7268,plain,
% 24.79/16.16 (v124(constB59, bitIndex2)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7267, 1761, 7197])).
% 24.79/16.16 tff(7269,plain,
% 24.79/16.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB59) | (~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB59) | (~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7270,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB59) | (~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7271,plain,
% 24.79/16.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB59) | (~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 24.79/16.16 tff(7272,plain,
% 24.79/16.16 ((~v124(constB59, bitIndex2)) | v121(constB59, bitIndex2)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7271, 1287, 7212])).
% 24.79/16.16 tff(7273,plain,
% 24.79/16.16 (v121(constB59, bitIndex2)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7272, 7268])).
% 24.79/16.16 tff(7274,plain,
% 24.79/16.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7275,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7276,plain,
% 24.79/16.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2)),
% 24.79/16.16 inference(modus_ponens,[status(thm)],[7275, 7274])).
% 24.79/16.16 tff(7277,plain,
% 24.79/16.16 ((~v121(constB59, bitIndex2)) | v123(constB60, bitIndex2)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7276, 1302, 7230])).
% 24.79/16.16 tff(7278,plain,
% 24.79/16.16 (v123(constB60, bitIndex2)),
% 24.79/16.16 inference(unit_resolution,[status(thm)],[7277, 7273])).
% 24.79/16.16 tff(7279,plain,
% 24.79/16.16 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7280,plain,
% 24.79/16.16 ((v84(constB60, bitIndex2) | (~v94(constB60)) | (~v123(constB60, bitIndex2))) <=> (v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60)))),
% 24.79/16.16 inference(rewrite,[status(thm)],[])).
% 24.79/16.16 tff(7281,plain,
% 24.79/16.16 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v94(constB60)) | (~v123(constB60, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60))))),
% 24.79/16.16 inference(monotonicity,[status(thm)],[7280])).
% 24.79/16.16 tff(7282,plain,
% 24.79/16.16 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v94(constB60)) | (~v123(constB60, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60)))),
% 24.79/16.16 inference(transitivity,[status(thm)],[7281, 7279])).
% 24.79/16.16 tff(7283,plain,
% 24.79/16.16 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB60, bitIndex2) | (~v94(constB60)) | (~v123(constB60, bitIndex2)))),
% 24.79/16.16 inference(quant_inst,[status(thm)],[])).
% 24.79/16.16 tff(7284,plain,
% 24.79/16.16 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2)) | (~v94(constB60))),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7283, 7282])).
% 24.79/16.17 tff(7285,plain,
% 24.79/16.17 (v84(constB60, bitIndex2) | (~v94(constB60))),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7284, 1317, 7278])).
% 24.79/16.17 tff(7286,plain,
% 24.79/16.17 (v84(constB60, bitIndex2)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7285, 7264])).
% 24.79/16.17 tff(7287,plain,
% 24.79/16.17 ((~v1(constB61)) <=> (~v1(constB61))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7288,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 24.79/16.17 tff(7289,plain,
% 24.79/16.17 (~v1(constB61)),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 24.79/16.17 tff(7290,plain,
% 24.79/16.17 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7291,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 24.79/16.17 tff(7292,plain,
% 24.79/16.17 (nextState(constB60, constB61)),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7291, 7290])).
% 24.79/16.17 tff(7293,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7294,plain,
% 24.79/16.17 (((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7295,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))))),
% 24.79/16.17 inference(monotonicity,[status(thm)],[7294])).
% 24.79/16.17 tff(7296,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 24.79/16.17 inference(transitivity,[status(thm)],[7295, 7293])).
% 24.79/16.17 tff(7297,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))),
% 24.79/16.17 inference(quant_inst,[status(thm)],[])).
% 24.79/16.17 tff(7298,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7297, 7296])).
% 24.79/16.17 tff(7299,plain,
% 24.79/16.17 (~v95(constB61)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7298, 73, 7292, 7289])).
% 24.79/16.17 tff(7300,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7301,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 24.79/16.17 inference(quant_inst,[status(thm)],[])).
% 24.79/16.17 tff(7302,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61))),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7301, 7300])).
% 24.79/16.17 tff(7303,plain,
% 24.79/16.17 (v95(constB61) | (~v94(constB61))),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7302, 90, 7292])).
% 24.79/16.17 tff(7304,plain,
% 24.79/16.17 (~v94(constB61)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7303, 7299])).
% 24.79/16.17 tff(7305,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7306,plain,
% 24.79/16.17 (((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2)) <=> ((~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7307,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2)))),
% 24.79/16.17 inference(monotonicity,[status(thm)],[7306])).
% 24.79/16.17 tff(7308,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2))),
% 24.79/16.17 inference(transitivity,[status(thm)],[7307, 7305])).
% 24.79/16.17 tff(7309,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2))),
% 24.79/16.17 inference(quant_inst,[status(thm)],[])).
% 24.79/16.17 tff(7310,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB60, bitIndex2)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex2)),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 24.79/16.17 tff(7311,plain,
% 24.79/16.17 ((~v84(constB60, bitIndex2)) | v94(constB61) | v84(constB61, bitIndex2)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7310, 1353, 7292])).
% 24.79/16.17 tff(7312,plain,
% 24.79/16.17 ((~v84(constB60, bitIndex2)) | v84(constB61, bitIndex2)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7311, 7304])).
% 24.79/16.17 tff(7313,plain,
% 24.79/16.17 (v84(constB61, bitIndex2)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7312, 7286])).
% 24.79/16.17 tff(7314,plain,
% 24.79/16.17 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB59)) | v124(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB59)) | v124(constB59, bitIndex1))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7315,plain,
% 24.79/16.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB59)) | v124(constB59, bitIndex1))),
% 24.79/16.17 inference(quant_inst,[status(thm)],[])).
% 24.79/16.17 tff(7316,plain,
% 24.79/16.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB59)) | v124(constB59, bitIndex1)),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7315, 7314])).
% 24.79/16.17 tff(7317,plain,
% 24.79/16.17 (v124(constB59, bitIndex1)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7316, 1817, 7197])).
% 24.79/16.17 tff(7318,plain,
% 24.79/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7319,plain,
% 24.79/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1))),
% 24.79/16.17 inference(quant_inst,[status(thm)],[])).
% 24.79/16.17 tff(7320,plain,
% 24.79/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB59) | (~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1)),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7319, 7318])).
% 24.79/16.17 tff(7321,plain,
% 24.79/16.17 ((~v124(constB59, bitIndex1)) | v121(constB59, bitIndex1)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7320, 812, 7212])).
% 24.79/16.17 tff(7322,plain,
% 24.79/16.17 (v121(constB59, bitIndex1)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7321, 7317])).
% 24.79/16.17 tff(7323,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7324,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1))),
% 24.79/16.17 inference(quant_inst,[status(thm)],[])).
% 24.79/16.17 tff(7325,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB59, constB60)) | (~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1)),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7324, 7323])).
% 24.79/16.17 tff(7326,plain,
% 24.79/16.17 ((~v121(constB59, bitIndex1)) | v123(constB60, bitIndex1)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7325, 827, 7230])).
% 24.79/16.17 tff(7327,plain,
% 24.79/16.17 (v123(constB60, bitIndex1)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7326, 7322])).
% 24.79/16.17 tff(7328,plain,
% 24.79/16.17 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7329,plain,
% 24.79/16.17 ((v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1))) <=> (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7330,plain,
% 24.79/16.17 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60))))),
% 24.79/16.17 inference(monotonicity,[status(thm)],[7329])).
% 24.79/16.17 tff(7331,plain,
% 24.79/16.17 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60)))),
% 24.79/16.17 inference(transitivity,[status(thm)],[7330, 7328])).
% 24.79/16.17 tff(7332,plain,
% 24.79/16.17 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB60, bitIndex1) | (~v94(constB60)) | (~v123(constB60, bitIndex1)))),
% 24.79/16.17 inference(quant_inst,[status(thm)],[])).
% 24.79/16.17 tff(7333,plain,
% 24.79/16.17 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1)) | (~v94(constB60))),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7332, 7331])).
% 24.79/16.17 tff(7334,plain,
% 24.79/16.17 (v84(constB60, bitIndex1) | (~v94(constB60))),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7333, 842, 7327])).
% 24.79/16.17 tff(7335,plain,
% 24.79/16.17 (v84(constB60, bitIndex1)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7334, 7264])).
% 24.79/16.17 tff(7336,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7337,plain,
% 24.79/16.17 (((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1)) <=> ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 24.79/16.17 inference(rewrite,[status(thm)],[])).
% 24.79/16.17 tff(7338,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1)))),
% 24.79/16.17 inference(monotonicity,[status(thm)],[7337])).
% 24.79/16.17 tff(7339,plain,
% 24.79/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1))),
% 24.79/16.17 inference(transitivity,[status(thm)],[7338, 7336])).
% 24.79/16.17 tff(7340,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB60, constB61)) | (~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1))),
% 24.79/16.17 inference(quant_inst,[status(thm)],[])).
% 24.79/16.17 tff(7341,plain,
% 24.79/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB60, bitIndex1)) | (~nextState(constB60, constB61)) | v94(constB61) | v84(constB61, bitIndex1)),
% 24.79/16.17 inference(modus_ponens,[status(thm)],[7340, 7339])).
% 24.79/16.17 tff(7342,plain,
% 24.79/16.17 ((~v84(constB60, bitIndex1)) | v94(constB61) | v84(constB61, bitIndex1)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7341, 860, 7292])).
% 24.79/16.17 tff(7343,plain,
% 24.79/16.17 ((~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1)),
% 24.79/16.17 inference(unit_resolution,[status(thm)],[7342, 7304])).
% 24.86/16.17 tff(7344,plain,
% 24.86/16.17 (v84(constB61, bitIndex1)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7343, 7335])).
% 24.86/16.17 tff(7345,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB59)) | (~v124(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB59)) | (~v124(constB59, bitIndex0)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7346,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB59)) | (~v124(constB59, bitIndex0)))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7347,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB59)) | (~v124(constB59, bitIndex0))),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 24.86/16.17 tff(7348,plain,
% 24.86/16.17 (~v124(constB59, bitIndex0)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7347, 1855, 7197])).
% 24.86/16.17 tff(7349,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7350,plain,
% 24.86/16.17 ((v26(constB59) | v124(constB59, bitIndex0) | (~v121(constB59, bitIndex0))) <=> ((~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7351,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB59) | v124(constB59, bitIndex0) | (~v121(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0)))),
% 24.86/16.17 inference(monotonicity,[status(thm)],[7350])).
% 24.86/16.17 tff(7352,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB59) | v124(constB59, bitIndex0) | (~v121(constB59, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0))),
% 24.86/16.17 inference(transitivity,[status(thm)],[7351, 7349])).
% 24.86/16.17 tff(7353,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB59) | v124(constB59, bitIndex0) | (~v121(constB59, bitIndex0)))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7354,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB59, bitIndex0)) | v26(constB59) | v124(constB59, bitIndex0)),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7353, 7352])).
% 24.86/16.17 tff(7355,plain,
% 24.86/16.17 ((~v121(constB59, bitIndex0)) | v124(constB59, bitIndex0)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7354, 890, 7212])).
% 24.86/16.17 tff(7356,plain,
% 24.86/16.17 (~v121(constB59, bitIndex0)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7355, 7348])).
% 24.86/16.17 tff(7357,plain,
% 24.86/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7358,plain,
% 24.86/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB59, constB60)) | v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0)))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7359,plain,
% 24.86/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB59, constB60)) | v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0))),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7358, 7357])).
% 24.86/16.17 tff(7360,plain,
% 24.86/16.17 (v121(constB59, bitIndex0) | (~v123(constB60, bitIndex0))),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7359, 908, 7230])).
% 24.86/16.17 tff(7361,plain,
% 24.86/16.17 (~v123(constB60, bitIndex0)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7360, 7356])).
% 24.86/16.17 tff(7362,plain,
% 24.86/16.17 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7363,plain,
% 24.86/16.17 (((~v84(constB60, bitIndex0)) | (~v94(constB60)) | v123(constB60, bitIndex0)) <=> ((~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7364,plain,
% 24.86/16.17 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~v94(constB60)) | v123(constB60, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60))))),
% 24.86/16.17 inference(monotonicity,[status(thm)],[7363])).
% 24.86/16.17 tff(7365,plain,
% 24.86/16.17 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~v94(constB60)) | v123(constB60, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60)))),
% 24.86/16.17 inference(transitivity,[status(thm)],[7364, 7362])).
% 24.86/16.17 tff(7366,plain,
% 24.86/16.17 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB60, bitIndex0)) | (~v94(constB60)) | v123(constB60, bitIndex0))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7367,plain,
% 24.86/16.17 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0) | (~v94(constB60))),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7366, 7365])).
% 24.86/16.17 tff(7368,plain,
% 24.86/16.17 ((~v84(constB60, bitIndex0)) | (~v94(constB60))),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7367, 923, 7361])).
% 24.86/16.17 tff(7369,plain,
% 24.86/16.17 (~v84(constB60, bitIndex0)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7368, 7264])).
% 24.86/16.17 tff(7370,plain,
% 24.86/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7371,plain,
% 24.86/16.17 (((~nextState(constB60, constB61)) | v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0))) <=> (v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7372,plain,
% 24.86/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0))))),
% 24.86/16.17 inference(monotonicity,[status(thm)],[7371])).
% 24.86/16.17 tff(7373,plain,
% 24.86/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0)))),
% 24.86/16.17 inference(transitivity,[status(thm)],[7372, 7370])).
% 24.86/16.17 tff(7374,plain,
% 24.86/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB60, constB61)) | v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0)))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7375,plain,
% 24.86/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB60, bitIndex0) | (~nextState(constB60, constB61)) | v94(constB61) | (~v84(constB61, bitIndex0))),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 24.86/16.17 tff(7376,plain,
% 24.86/16.17 (v84(constB60, bitIndex0) | v94(constB61) | (~v84(constB61, bitIndex0))),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7375, 147, 7292])).
% 24.86/16.17 tff(7377,plain,
% 24.86/16.17 (v84(constB60, bitIndex0) | (~v84(constB61, bitIndex0))),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7376, 7304])).
% 24.86/16.17 tff(7378,plain,
% 24.86/16.17 (~v84(constB61, bitIndex0)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7377, 7369])).
% 24.86/16.17 tff(7379,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)) | v119(constB61))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)) | v119(constB61))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7380,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)) | v119(constB61))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7381,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)) | v119(constB61)),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7380, 7379])).
% 24.86/16.17 tff(7382,plain,
% 24.86/16.17 (v119(constB61)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7381, 1899, 7378, 7344, 7313])).
% 24.86/16.17 tff(7383,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB61) | (~v119(constB61)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB61) | (~v119(constB61)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7384,plain,
% 24.86/16.17 (((~v119(constB61)) | v107(constB61)) <=> (v107(constB61) | (~v119(constB61)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7385,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB61)) | v107(constB61))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB61) | (~v119(constB61))))),
% 24.86/16.17 inference(monotonicity,[status(thm)],[7384])).
% 24.86/16.17 tff(7386,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB61)) | v107(constB61))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB61) | (~v119(constB61)))),
% 24.86/16.17 inference(transitivity,[status(thm)],[7385, 7383])).
% 24.86/16.17 tff(7387,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB61)) | v107(constB61))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7388,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB61) | (~v119(constB61))),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7387, 7386])).
% 24.86/16.17 tff(7389,plain,
% 24.86/16.17 (v107(constB61)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7388, 1910, 7382])).
% 24.86/16.17 tff(7390,assumption,(v26(constB61)), introduced(assumption)).
% 24.86/16.17 tff(7391,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB61))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7392,plain,
% 24.86/16.17 ($false),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7391, 18, 7390])).
% 24.86/16.17 tff(7393,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 24.86/16.17 tff(7394,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | v106(constB61) | (~v107(constB61)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7395,plain,
% 24.86/16.17 ((v26(constB61) | (~v107(constB61)) | v106(constB61)) <=> (v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7396,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | v106(constB61) | (~v107(constB61))))),
% 24.86/16.17 inference(monotonicity,[status(thm)],[7395])).
% 24.86/16.17 tff(7397,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61)))),
% 24.86/16.17 inference(transitivity,[status(thm)],[7396, 7394])).
% 24.86/16.17 tff(7398,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7399,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | v106(constB61) | (~v107(constB61))),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 24.86/16.17 tff(7400,plain,
% 24.86/16.17 (v106(constB61) | (~v107(constB61))),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7399, 263, 7393])).
% 24.86/16.17 tff(7401,plain,
% 24.86/16.17 (v106(constB61)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7400, 7389])).
% 24.86/16.17 tff(7402,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB61) | (~v106(constB61)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB61) | (~v106(constB61)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7403,plain,
% 24.86/16.17 (((~v106(constB61)) | v102(constB61)) <=> (v102(constB61) | (~v106(constB61)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7404,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB61)) | v102(constB61))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB61) | (~v106(constB61))))),
% 24.86/16.17 inference(monotonicity,[status(thm)],[7403])).
% 24.86/16.17 tff(7405,plain,
% 24.86/16.17 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB61)) | v102(constB61))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB61) | (~v106(constB61)))),
% 24.86/16.17 inference(transitivity,[status(thm)],[7404, 7402])).
% 24.86/16.17 tff(7406,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB61)) | v102(constB61))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7407,plain,
% 24.86/16.17 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB61) | (~v106(constB61))),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 24.86/16.17 tff(7408,plain,
% 24.86/16.17 (v102(constB61)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7407, 275, 7401])).
% 24.86/16.17 tff(7409,plain,
% 24.86/16.17 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7410,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 24.86/16.17 tff(7411,plain,
% 24.86/16.17 (nextState(constB61, constB62)),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7410, 7409])).
% 24.86/16.17 tff(7412,plain,
% 24.86/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7413,plain,
% 24.86/16.17 (((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62)) <=> ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7414,plain,
% 24.86/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))))),
% 24.86/16.17 inference(monotonicity,[status(thm)],[7413])).
% 24.86/16.17 tff(7415,plain,
% 24.86/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 24.86/16.17 inference(transitivity,[status(thm)],[7414, 7412])).
% 24.86/16.17 tff(7416,plain,
% 24.86/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7417,plain,
% 24.86/16.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7416, 7415])).
% 24.86/16.17 tff(7418,plain,
% 24.86/16.17 (v104(constB62) | (~v102(constB61))),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7417, 295, 7411])).
% 24.86/16.17 tff(7419,plain,
% 24.86/16.17 (v104(constB62)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7418, 7408])).
% 24.86/16.17 tff(7420,plain,
% 24.86/16.17 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 24.86/16.17 inference(rewrite,[status(thm)],[])).
% 24.86/16.17 tff(7421,plain,
% 24.86/16.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 24.86/16.17 inference(quant_inst,[status(thm)],[])).
% 24.86/16.17 tff(7422,plain,
% 24.86/16.17 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62))),
% 24.86/16.17 inference(modus_ponens,[status(thm)],[7421, 7420])).
% 24.86/16.17 tff(7423,plain,
% 24.86/16.17 (~v98(constB62)),
% 24.86/16.17 inference(unit_resolution,[status(thm)],[7422, 313, 7411, 7289])).
% 24.86/16.17 tff(7424,plain,
% 24.86/16.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7425,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7426,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62)),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7425, 7424])).
% 24.86/16.18 tff(7427,plain,
% 24.86/16.18 (v96(constB62) | v98(constB62)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7426, 327, 7411])).
% 24.86/16.18 tff(7428,plain,
% 24.86/16.18 (v96(constB62)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7427, 7423])).
% 24.86/16.18 tff(7429,plain,
% 24.86/16.18 (v1(constB62) <=> v1(constB62)),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7430,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 24.86/16.18 tff(7431,plain,
% 24.86/16.18 (v1(constB62)),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 24.86/16.18 tff(7432,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7433,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7434,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 24.86/16.18 tff(7435,plain,
% 24.86/16.18 (v95(constB62) | (~v96(constB62))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7434, 345, 7411, 7431])).
% 24.86/16.18 tff(7436,plain,
% 24.86/16.18 (v95(constB62)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7435, 7428])).
% 24.86/16.18 tff(7437,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7438,plain,
% 24.86/16.18 (((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62)) <=> ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7439,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62))))),
% 24.86/16.18 inference(monotonicity,[status(thm)],[7438])).
% 24.86/16.18 tff(7440,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62)))),
% 24.86/16.18 inference(transitivity,[status(thm)],[7439, 7437])).
% 24.86/16.18 tff(7441,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7442,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | v94(constB62) | (~v95(constB62)) | (~v104(constB62))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7441, 7440])).
% 24.86/16.18 tff(7443,plain,
% 24.86/16.18 (v94(constB62) | (~v95(constB62)) | (~v104(constB62))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7442, 360, 7411])).
% 24.86/16.18 tff(7444,plain,
% 24.86/16.18 (v94(constB62) | (~v104(constB62))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7443, 7436])).
% 24.86/16.18 tff(7445,plain,
% 24.86/16.18 (v94(constB62)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7444, 7419])).
% 24.86/16.18 tff(7446,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB61)) | (~v84(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB61)) | (~v84(constB61, bitIndex2)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7447,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB61)) | (~v84(constB61, bitIndex2)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7448,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB61)) | (~v84(constB61, bitIndex2))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7447, 7446])).
% 24.86/16.18 tff(7449,plain,
% 24.86/16.18 (~v115(constB61)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7448, 1974, 7313])).
% 24.86/16.18 tff(7450,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB61)) | (~v84(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB61)) | (~v84(constB61, bitIndex1)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7451,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB61)) | (~v84(constB61, bitIndex1)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7452,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB61)) | (~v84(constB61, bitIndex1))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7451, 7450])).
% 24.86/16.18 tff(7453,plain,
% 24.86/16.18 (~v113(constB61)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7452, 1996, 7344])).
% 24.86/16.18 tff(7454,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB61)) | (~v84(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB61)) | (~v84(constB61, bitIndex1)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7455,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB61)) | (~v84(constB61, bitIndex1)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7456,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB61)) | (~v84(constB61, bitIndex1))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7455, 7454])).
% 24.86/16.18 tff(7457,plain,
% 24.86/16.18 (~v118(constB61)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7456, 2007, 7344])).
% 24.86/16.18 tff(7458,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB61)) | (~v84(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB61)) | (~v84(constB61, bitIndex1)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7459,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB61)) | (~v84(constB61, bitIndex1)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7460,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB61)) | (~v84(constB61, bitIndex1))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 24.86/16.18 tff(7461,plain,
% 24.86/16.18 (~v172(constB61)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7460, 2029, 7344])).
% 24.86/16.18 tff(7462,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB61)) | (~v84(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB61)) | (~v84(constB61, bitIndex2)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7463,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB61)) | (~v84(constB61, bitIndex2)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7464,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB61)) | (~v84(constB61, bitIndex2))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7463, 7462])).
% 24.86/16.18 tff(7465,plain,
% 24.86/16.18 (~v116(constB61)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7464, 1985, 7313])).
% 24.86/16.18 tff(7466,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB61)) | (~v84(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB61)) | (~v84(constB61, bitIndex1)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7467,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB61)) | (~v84(constB61, bitIndex1)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7468,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB61)) | (~v84(constB61, bitIndex1))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7467, 7466])).
% 24.86/16.18 tff(7469,plain,
% 24.86/16.18 (~v145(constB61)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7468, 2018, 7344])).
% 24.86/16.18 tff(7470,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB61) | (~v124(constB61, bitIndex2)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB61) | (~v124(constB61, bitIndex2)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7471,plain,
% 24.86/16.18 ((v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex2))) <=> (v145(constB61) | (~v124(constB61, bitIndex2)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7472,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB61) | (~v124(constB61, bitIndex2)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61)))),
% 24.86/16.18 inference(monotonicity,[status(thm)],[7471])).
% 24.86/16.18 tff(7473,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB61) | (~v124(constB61, bitIndex2)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))),
% 24.86/16.18 inference(transitivity,[status(thm)],[7472, 7470])).
% 24.86/16.18 tff(7474,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex2)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7475,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB61) | (~v124(constB61, bitIndex2)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61)),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 24.86/16.18 tff(7476,plain,
% 24.86/16.18 (~v124(constB61, bitIndex2)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7475, 2043, 7469, 7465, 7461, 7457, 7453, 7449])).
% 24.86/16.18 tff(7477,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7478,plain,
% 24.86/16.18 ((v26(constB61) | v124(constB61, bitIndex2) | (~v121(constB61, bitIndex2))) <=> ((~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7479,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB61) | v124(constB61, bitIndex2) | (~v121(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2)))),
% 24.86/16.18 inference(monotonicity,[status(thm)],[7478])).
% 24.86/16.18 tff(7480,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB61) | v124(constB61, bitIndex2) | (~v121(constB61, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2))),
% 24.86/16.18 inference(transitivity,[status(thm)],[7479, 7477])).
% 24.86/16.18 tff(7481,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB61) | v124(constB61, bitIndex2) | (~v121(constB61, bitIndex2)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7482,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB61, bitIndex2)) | v26(constB61) | v124(constB61, bitIndex2)),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 24.86/16.18 tff(7483,plain,
% 24.86/16.18 ((~v121(constB61, bitIndex2)) | v124(constB61, bitIndex2)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7482, 390, 7393])).
% 24.86/16.18 tff(7484,plain,
% 24.86/16.18 (~v121(constB61, bitIndex2)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7483, 7476])).
% 24.86/16.18 tff(7485,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7486,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7487,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7486, 7485])).
% 24.86/16.18 tff(7488,plain,
% 24.86/16.18 (v121(constB61, bitIndex2) | (~v123(constB62, bitIndex2))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7487, 408, 7411])).
% 24.86/16.18 tff(7489,plain,
% 24.86/16.18 (~v123(constB62, bitIndex2)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7488, 7484])).
% 24.86/16.18 tff(7490,plain,
% 24.86/16.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7491,plain,
% 24.86/16.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7492,plain,
% 24.86/16.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2) | (~v94(constB62))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7491, 7490])).
% 24.86/16.18 tff(7493,plain,
% 24.86/16.18 ((~v84(constB62, bitIndex2)) | (~v94(constB62))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7492, 423, 7489])).
% 24.86/16.18 tff(7494,plain,
% 24.86/16.18 (~v84(constB62, bitIndex2)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7493, 7445])).
% 24.86/16.18 tff(7495,plain,
% 24.86/16.18 ((~v1(constB63)) <=> (~v1(constB63))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7496,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 24.86/16.18 tff(7497,plain,
% 24.86/16.18 (~v1(constB63)),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7496, 7495])).
% 24.86/16.18 tff(7498,plain,
% 24.86/16.18 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7499,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 24.86/16.18 tff(7500,plain,
% 24.86/16.18 (nextState(constB62, constB63)),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7499, 7498])).
% 24.86/16.18 tff(7501,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7502,plain,
% 24.86/16.18 (((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7503,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))))),
% 24.86/16.18 inference(monotonicity,[status(thm)],[7502])).
% 24.86/16.18 tff(7504,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 24.86/16.18 inference(transitivity,[status(thm)],[7503, 7501])).
% 24.86/16.18 tff(7505,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7506,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 24.86/16.18 tff(7507,plain,
% 24.86/16.18 (~v95(constB63)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7506, 73, 7500, 7497])).
% 24.86/16.18 tff(7508,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7509,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7510,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 24.86/16.18 tff(7511,plain,
% 24.86/16.18 (v95(constB63) | (~v94(constB63))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7510, 90, 7500])).
% 24.86/16.18 tff(7512,plain,
% 24.86/16.18 (~v94(constB63)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7511, 7507])).
% 24.86/16.18 tff(7513,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7514,plain,
% 24.86/16.18 (((~nextState(constB62, constB63)) | v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2))) <=> (v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7515,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2))))),
% 24.86/16.18 inference(monotonicity,[status(thm)],[7514])).
% 24.86/16.18 tff(7516,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2)))),
% 24.86/16.18 inference(transitivity,[status(thm)],[7515, 7513])).
% 24.86/16.18 tff(7517,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7518,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB62, bitIndex2) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex2))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7517, 7516])).
% 24.86/16.18 tff(7519,plain,
% 24.86/16.18 (v84(constB62, bitIndex2) | v94(constB63) | (~v84(constB63, bitIndex2))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7518, 105, 7500])).
% 24.86/16.18 tff(7520,plain,
% 24.86/16.18 (v84(constB62, bitIndex2) | (~v84(constB63, bitIndex2))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7519, 7512])).
% 24.86/16.18 tff(7521,plain,
% 24.86/16.18 (~v84(constB63, bitIndex2)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7520, 7494])).
% 24.86/16.18 tff(7522,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB61) | (~v124(constB61, bitIndex1)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB61) | (~v124(constB61, bitIndex1)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7523,plain,
% 24.86/16.18 ((v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex1))) <=> (v145(constB61) | (~v124(constB61, bitIndex1)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7524,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB61) | (~v124(constB61, bitIndex1)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61)))),
% 24.86/16.18 inference(monotonicity,[status(thm)],[7523])).
% 24.86/16.18 tff(7525,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB61) | (~v124(constB61, bitIndex1)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))),
% 24.86/16.18 inference(transitivity,[status(thm)],[7524, 7522])).
% 24.86/16.18 tff(7526,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | (~v124(constB61, bitIndex1)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7527,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB61) | (~v124(constB61, bitIndex1)) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61)),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7526, 7525])).
% 24.86/16.18 tff(7528,plain,
% 24.86/16.18 (~v124(constB61, bitIndex1)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7527, 2105, 7469, 7465, 7461, 7457, 7453, 7449])).
% 24.86/16.18 tff(7529,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7530,plain,
% 24.86/16.18 ((v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1))) <=> ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7531,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1)))),
% 24.86/16.18 inference(monotonicity,[status(thm)],[7530])).
% 24.86/16.18 tff(7532,plain,
% 24.86/16.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1))),
% 24.86/16.18 inference(transitivity,[status(thm)],[7531, 7529])).
% 24.86/16.18 tff(7533,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB61) | v124(constB61, bitIndex1) | (~v121(constB61, bitIndex1)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7534,plain,
% 24.86/16.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB61, bitIndex1)) | v26(constB61) | v124(constB61, bitIndex1)),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 24.86/16.18 tff(7535,plain,
% 24.86/16.18 ((~v121(constB61, bitIndex1)) | v124(constB61, bitIndex1)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7534, 476, 7393])).
% 24.86/16.18 tff(7536,plain,
% 24.86/16.18 (~v121(constB61, bitIndex1)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7535, 7528])).
% 24.86/16.18 tff(7537,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7538,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1)))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7539,plain,
% 24.86/16.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB61, constB62)) | v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 24.86/16.18 tff(7540,plain,
% 24.86/16.18 (v121(constB61, bitIndex1) | (~v123(constB62, bitIndex1))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7539, 494, 7411])).
% 24.86/16.18 tff(7541,plain,
% 24.86/16.18 (~v123(constB62, bitIndex1)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7540, 7536])).
% 24.86/16.18 tff(7542,plain,
% 24.86/16.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7543,plain,
% 24.86/16.18 (((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1)) <=> ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7544,plain,
% 24.86/16.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62))))),
% 24.86/16.18 inference(monotonicity,[status(thm)],[7543])).
% 24.86/16.18 tff(7545,plain,
% 24.86/16.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62)))),
% 24.86/16.18 inference(transitivity,[status(thm)],[7544, 7542])).
% 24.86/16.18 tff(7546,plain,
% 24.86/16.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB62, bitIndex1)) | (~v94(constB62)) | v123(constB62, bitIndex1))),
% 24.86/16.18 inference(quant_inst,[status(thm)],[])).
% 24.86/16.18 tff(7547,plain,
% 24.86/16.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1) | (~v94(constB62))),
% 24.86/16.18 inference(modus_ponens,[status(thm)],[7546, 7545])).
% 24.86/16.18 tff(7548,plain,
% 24.86/16.18 ((~v84(constB62, bitIndex1)) | (~v94(constB62))),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7547, 509, 7541])).
% 24.86/16.18 tff(7549,plain,
% 24.86/16.18 (~v84(constB62, bitIndex1)),
% 24.86/16.18 inference(unit_resolution,[status(thm)],[7548, 7445])).
% 24.86/16.18 tff(7550,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7551,plain,
% 24.86/16.18 (((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1))) <=> (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 24.86/16.18 inference(rewrite,[status(thm)],[])).
% 24.86/16.18 tff(7552,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1))))),
% 24.86/16.18 inference(monotonicity,[status(thm)],[7551])).
% 24.86/16.18 tff(7553,plain,
% 24.86/16.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 24.86/16.18 inference(transitivity,[status(thm)],[7552, 7550])).
% 24.86/16.19 tff(7554,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB62, constB63)) | v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1)))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7555,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB62, bitIndex1) | (~nextState(constB62, constB63)) | v94(constB63) | (~v84(constB63, bitIndex1))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7554, 7553])).
% 24.86/16.19 tff(7556,plain,
% 24.86/16.19 (v84(constB62, bitIndex1) | v94(constB63) | (~v84(constB63, bitIndex1))),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7555, 126, 7500])).
% 24.86/16.19 tff(7557,plain,
% 24.86/16.19 (v84(constB62, bitIndex1) | (~v84(constB63, bitIndex1))),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7556, 7512])).
% 24.86/16.19 tff(7558,plain,
% 24.86/16.19 (~v84(constB63, bitIndex1)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7557, 7549])).
% 24.86/16.19 tff(7559,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB61) | v124(constB61, bitIndex0) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB61) | v124(constB61, bitIndex0) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7560,plain,
% 24.86/16.19 ((v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | v124(constB61, bitIndex0)) <=> (v145(constB61) | v124(constB61, bitIndex0) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7561,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | v124(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB61) | v124(constB61, bitIndex0) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61)))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7560])).
% 24.86/16.19 tff(7562,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | v124(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB61) | v124(constB61, bitIndex0) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7561, 7559])).
% 24.86/16.19 tff(7563,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB61) | v145(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61) | v124(constB61, bitIndex0))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7564,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB61) | v124(constB61, bitIndex0) | v113(constB61) | v115(constB61) | v116(constB61) | v172(constB61) | v118(constB61)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7563, 7562])).
% 24.86/16.19 tff(7565,plain,
% 24.86/16.19 (v124(constB61, bitIndex0)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7564, 2152, 7469, 7465, 7461, 7457, 7453, 7449])).
% 24.86/16.19 tff(7566,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB61) | (~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB61) | (~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7567,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB61) | (~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7568,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB61) | (~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7567, 7566])).
% 24.86/16.19 tff(7569,plain,
% 24.86/16.19 ((~v124(constB61, bitIndex0)) | v121(constB61, bitIndex0)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7568, 547, 7393])).
% 24.86/16.19 tff(7570,plain,
% 24.86/16.19 (v121(constB61, bitIndex0)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7569, 7565])).
% 24.86/16.19 tff(7571,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7572,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB61, constB62)) | (~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7573,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB61, constB62)) | (~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7572, 7571])).
% 24.86/16.19 tff(7574,plain,
% 24.86/16.19 ((~v121(constB61, bitIndex0)) | v123(constB62, bitIndex0)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7573, 562, 7411])).
% 24.86/16.19 tff(7575,plain,
% 24.86/16.19 (v123(constB62, bitIndex0)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7574, 7570])).
% 24.86/16.19 tff(7576,plain,
% 24.86/16.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7577,plain,
% 24.86/16.19 ((v84(constB62, bitIndex0) | (~v94(constB62)) | (~v123(constB62, bitIndex0))) <=> (v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7578,plain,
% 24.86/16.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v94(constB62)) | (~v123(constB62, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62))))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7577])).
% 24.86/16.19 tff(7579,plain,
% 24.86/16.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v94(constB62)) | (~v123(constB62, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62)))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7578, 7576])).
% 24.86/16.19 tff(7580,plain,
% 24.86/16.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB62, bitIndex0) | (~v94(constB62)) | (~v123(constB62, bitIndex0)))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7581,plain,
% 24.86/16.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0)) | (~v94(constB62))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 24.86/16.19 tff(7582,plain,
% 24.86/16.19 (v84(constB62, bitIndex0) | (~v94(constB62))),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7581, 577, 7575])).
% 24.86/16.19 tff(7583,plain,
% 24.86/16.19 (v84(constB62, bitIndex0)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7582, 7445])).
% 24.86/16.19 tff(7584,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7585,plain,
% 24.86/16.19 (((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0)) <=> ((~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7586,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0)))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7585])).
% 24.86/16.19 tff(7587,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7586, 7584])).
% 24.86/16.19 tff(7588,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB62, constB63)) | (~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7589,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB62, bitIndex0)) | (~nextState(constB62, constB63)) | v94(constB63) | v84(constB63, bitIndex0)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7588, 7587])).
% 24.86/16.19 tff(7590,plain,
% 24.86/16.19 ((~v84(constB62, bitIndex0)) | v94(constB63) | v84(constB63, bitIndex0)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7589, 595, 7500])).
% 24.86/16.19 tff(7591,plain,
% 24.86/16.19 ((~v84(constB62, bitIndex0)) | v84(constB63, bitIndex0)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7590, 7512])).
% 24.86/16.19 tff(7592,plain,
% 24.86/16.19 (v84(constB63, bitIndex0)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7591, 7583])).
% 24.86/16.19 tff(7593,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7594,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7595,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 24.86/16.19 tff(7596,plain,
% 24.86/16.19 (v145(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7595, 614, 7592, 7558, 7521])).
% 24.86/16.19 tff(7597,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB63) | (~v145(constB63)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB63) | (~v145(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7598,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB63) | (~v145(constB63)))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7599,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB63) | (~v145(constB63))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7598, 7597])).
% 24.86/16.19 tff(7600,plain,
% 24.86/16.19 (v112(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7599, 677, 7596])).
% 24.86/16.19 tff(7601,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB63) | (~v112(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7602,plain,
% 24.86/16.19 (((~v112(constB63)) | v111(constB63)) <=> (v111(constB63) | (~v112(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7603,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB63)) | v111(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB63) | (~v112(constB63))))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7602])).
% 24.86/16.19 tff(7604,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB63)) | v111(constB63))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB63) | (~v112(constB63)))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7603, 7601])).
% 24.86/16.19 tff(7605,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB63)) | v111(constB63))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7606,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB63) | (~v112(constB63))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7605, 7604])).
% 24.86/16.19 tff(7607,plain,
% 24.86/16.19 (v111(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7606, 193, 7600])).
% 24.86/16.19 tff(7608,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB63) | (~v111(constB63)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB63) | (~v111(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7609,plain,
% 24.86/16.19 (((~v111(constB63)) | v110(constB63)) <=> (v110(constB63) | (~v111(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7610,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB63)) | v110(constB63))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB63) | (~v111(constB63))))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7609])).
% 24.86/16.19 tff(7611,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB63)) | v110(constB63))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB63) | (~v111(constB63)))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7610, 7608])).
% 24.86/16.19 tff(7612,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB63)) | v110(constB63))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7613,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB63) | (~v111(constB63))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7612, 7611])).
% 24.86/16.19 tff(7614,plain,
% 24.86/16.19 (v110(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7613, 207, 7607])).
% 24.86/16.19 tff(7615,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB63)) | v109(constB63))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB63)) | v109(constB63))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7616,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB63)) | v109(constB63))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7617,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB63)) | v109(constB63)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7616, 7615])).
% 24.86/16.19 tff(7618,plain,
% 24.86/16.19 (v109(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7617, 221, 7614])).
% 24.86/16.19 tff(7619,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v109(constB63)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v109(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7620,plain,
% 24.86/16.19 (((~v109(constB63)) | v108(constB63)) <=> (v108(constB63) | (~v109(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7621,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB63) | (~v109(constB63))))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7620])).
% 24.86/16.19 tff(7622,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB63)) | v108(constB63))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v109(constB63)))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7621, 7619])).
% 24.86/16.19 tff(7623,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB63)) | v108(constB63))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7624,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB63) | (~v109(constB63))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7623, 7622])).
% 24.86/16.19 tff(7625,plain,
% 24.86/16.19 (v108(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7624, 235, 7618])).
% 24.86/16.19 tff(7626,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB63) | (~v108(constB63)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB63) | (~v108(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7627,plain,
% 24.86/16.19 (((~v108(constB63)) | v107(constB63)) <=> (v107(constB63) | (~v108(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7628,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB63)) | v107(constB63))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB63) | (~v108(constB63))))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7627])).
% 24.86/16.19 tff(7629,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB63)) | v107(constB63))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB63) | (~v108(constB63)))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7628, 7626])).
% 24.86/16.19 tff(7630,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB63)) | v107(constB63))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7631,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB63) | (~v108(constB63))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7630, 7629])).
% 24.86/16.19 tff(7632,plain,
% 24.86/16.19 (v107(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7631, 249, 7625])).
% 24.86/16.19 tff(7633,assumption,(v26(constB63)), introduced(assumption)).
% 24.86/16.19 tff(7634,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB63))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7635,plain,
% 24.86/16.19 ($false),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7634, 18, 7633])).
% 24.86/16.19 tff(7636,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 24.86/16.19 tff(7637,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | (~v107(constB63)) | v106(constB63))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7638,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7639,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | (~v107(constB63)) | v106(constB63)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7638, 7637])).
% 24.86/16.19 tff(7640,plain,
% 24.86/16.19 ((~v107(constB63)) | v106(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7639, 263, 7636])).
% 24.86/16.19 tff(7641,plain,
% 24.86/16.19 (v106(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7640, 7632])).
% 24.86/16.19 tff(7642,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB63) | (~v106(constB63)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB63) | (~v106(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7643,plain,
% 24.86/16.19 (((~v106(constB63)) | v102(constB63)) <=> (v102(constB63) | (~v106(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7644,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB63)) | v102(constB63))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB63) | (~v106(constB63))))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7643])).
% 24.86/16.19 tff(7645,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB63)) | v102(constB63))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB63) | (~v106(constB63)))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7644, 7642])).
% 24.86/16.19 tff(7646,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB63)) | v102(constB63))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7647,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB63) | (~v106(constB63))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 24.86/16.19 tff(7648,plain,
% 24.86/16.19 (v102(constB63)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7647, 275, 7641])).
% 24.86/16.19 tff(7649,plain,
% 24.86/16.19 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7650,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 24.86/16.19 tff(7651,plain,
% 24.86/16.19 (nextState(constB63, constB64)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7650, 7649])).
% 24.86/16.19 tff(7652,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7653,plain,
% 24.86/16.19 (((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64)) <=> ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7654,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7653])).
% 24.86/16.19 tff(7655,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7654, 7652])).
% 24.86/16.19 tff(7656,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7657,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7656, 7655])).
% 24.86/16.19 tff(7658,plain,
% 24.86/16.19 (v104(constB64) | (~v102(constB63))),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7657, 295, 7651])).
% 24.86/16.19 tff(7659,plain,
% 24.86/16.19 (v104(constB64)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7658, 7648])).
% 24.86/16.19 tff(7660,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7661,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7662,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7661, 7660])).
% 24.86/16.19 tff(7663,plain,
% 24.86/16.19 (~v98(constB64)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7662, 313, 7651, 7497])).
% 24.86/16.19 tff(7664,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7665,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7666,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7665, 7664])).
% 24.86/16.19 tff(7667,plain,
% 24.86/16.19 (v96(constB64) | v98(constB64)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7666, 327, 7651])).
% 24.86/16.19 tff(7668,plain,
% 24.86/16.19 (v96(constB64)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7667, 7663])).
% 24.86/16.19 tff(7669,plain,
% 24.86/16.19 (v1(constB64) <=> v1(constB64)),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7670,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 24.86/16.19 tff(7671,plain,
% 24.86/16.19 (v1(constB64)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7670, 7669])).
% 24.86/16.19 tff(7672,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7673,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7674,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7673, 7672])).
% 24.86/16.19 tff(7675,plain,
% 24.86/16.19 (v95(constB64) | (~v96(constB64))),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7674, 345, 7651, 7671])).
% 24.86/16.19 tff(7676,plain,
% 24.86/16.19 (v95(constB64)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7675, 7668])).
% 24.86/16.19 tff(7677,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7678,plain,
% 24.86/16.19 (((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64)) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7679,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64))))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7678])).
% 24.86/16.19 tff(7680,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64)))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7679, 7677])).
% 24.86/16.19 tff(7681,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7682,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | v94(constB64) | (~v95(constB64)) | (~v104(constB64))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7681, 7680])).
% 24.86/16.19 tff(7683,plain,
% 24.86/16.19 (v94(constB64) | (~v95(constB64)) | (~v104(constB64))),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7682, 360, 7651])).
% 24.86/16.19 tff(7684,plain,
% 24.86/16.19 (v94(constB64) | (~v104(constB64))),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7683, 7676])).
% 24.86/16.19 tff(7685,plain,
% 24.86/16.19 (v94(constB64)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7684, 7659])).
% 24.86/16.19 tff(7686,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB63)) | (~v124(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB63)) | (~v124(constB63, bitIndex2)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7687,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB63)) | (~v124(constB63, bitIndex2)))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7688,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB63)) | (~v124(constB63, bitIndex2))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7687, 7686])).
% 24.86/16.19 tff(7689,plain,
% 24.86/16.19 (~v124(constB63, bitIndex2)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7688, 625, 7596])).
% 24.86/16.19 tff(7690,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7691,plain,
% 24.86/16.19 ((v26(constB63) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2))) <=> ((~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7692,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB63) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2)))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7691])).
% 24.86/16.19 tff(7693,plain,
% 24.86/16.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB63) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7692, 7690])).
% 24.86/16.19 tff(7694,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB63) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2)))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7695,plain,
% 24.86/16.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB63, bitIndex2)) | v26(constB63) | v124(constB63, bitIndex2)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7694, 7693])).
% 24.86/16.19 tff(7696,plain,
% 24.86/16.19 ((~v121(constB63, bitIndex2)) | v124(constB63, bitIndex2)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7695, 390, 7636])).
% 24.86/16.19 tff(7697,plain,
% 24.86/16.19 (~v121(constB63, bitIndex2)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7696, 7689])).
% 24.86/16.19 tff(7698,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7699,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2)))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7700,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7699, 7698])).
% 24.86/16.19 tff(7701,plain,
% 24.86/16.19 (v121(constB63, bitIndex2) | (~v123(constB64, bitIndex2))),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7700, 408, 7651])).
% 24.86/16.19 tff(7702,plain,
% 24.86/16.19 (~v123(constB64, bitIndex2)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7701, 7697])).
% 24.86/16.19 tff(7703,plain,
% 24.86/16.19 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7704,plain,
% 24.86/16.19 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64)))),
% 24.86/16.19 inference(quant_inst,[status(thm)],[])).
% 24.86/16.19 tff(7705,plain,
% 24.86/16.19 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2) | (~v94(constB64))),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7704, 7703])).
% 24.86/16.19 tff(7706,plain,
% 24.86/16.19 ((~v84(constB64, bitIndex2)) | (~v94(constB64))),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7705, 423, 7702])).
% 24.86/16.19 tff(7707,plain,
% 24.86/16.19 (~v84(constB64, bitIndex2)),
% 24.86/16.19 inference(unit_resolution,[status(thm)],[7706, 7685])).
% 24.86/16.19 tff(7708,plain,
% 24.86/16.19 ((~v1(constB65)) <=> (~v1(constB65))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7709,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 24.86/16.19 tff(7710,plain,
% 24.86/16.19 (~v1(constB65)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7709, 7708])).
% 24.86/16.19 tff(7711,plain,
% 24.86/16.19 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7712,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 24.86/16.19 tff(7713,plain,
% 24.86/16.19 (nextState(constB64, constB65)),
% 24.86/16.19 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 24.86/16.19 tff(7714,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7715,plain,
% 24.86/16.19 (((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 24.86/16.19 inference(rewrite,[status(thm)],[])).
% 24.86/16.19 tff(7716,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))))),
% 24.86/16.19 inference(monotonicity,[status(thm)],[7715])).
% 24.86/16.19 tff(7717,plain,
% 24.86/16.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 24.86/16.19 inference(transitivity,[status(thm)],[7716, 7714])).
% 24.86/16.19 tff(7718,plain,
% 24.86/16.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7719,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7718, 7717])).
% 24.86/16.20 tff(7720,plain,
% 24.86/16.20 (~v95(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7719, 73, 7713, 7710])).
% 24.86/16.20 tff(7721,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7722,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7723,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7722, 7721])).
% 24.86/16.20 tff(7724,plain,
% 24.86/16.20 (v95(constB65) | (~v94(constB65))),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7723, 90, 7713])).
% 24.86/16.20 tff(7725,plain,
% 24.86/16.20 (~v94(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7724, 7720])).
% 24.86/16.20 tff(7726,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7727,plain,
% 24.86/16.20 (((~nextState(constB64, constB65)) | v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2))) <=> (v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7728,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2))))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7727])).
% 24.86/16.20 tff(7729,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2)))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7728, 7726])).
% 24.86/16.20 tff(7730,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2)))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7731,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB64, bitIndex2) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex2))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7730, 7729])).
% 24.86/16.20 tff(7732,plain,
% 24.86/16.20 (v84(constB64, bitIndex2) | v94(constB65) | (~v84(constB65, bitIndex2))),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7731, 105, 7713])).
% 24.86/16.20 tff(7733,plain,
% 24.86/16.20 (v84(constB64, bitIndex2) | (~v84(constB65, bitIndex2))),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7732, 7725])).
% 24.86/16.20 tff(7734,plain,
% 24.86/16.20 (~v84(constB65, bitIndex2)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7733, 7707])).
% 24.86/16.20 tff(7735,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB63)) | v124(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB63)) | v124(constB63, bitIndex1))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7736,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB63)) | v124(constB63, bitIndex1))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7737,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB63)) | v124(constB63, bitIndex1)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7736, 7735])).
% 24.86/16.20 tff(7738,plain,
% 24.86/16.20 (v124(constB63, bitIndex1)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7737, 798, 7596])).
% 24.86/16.20 tff(7739,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7740,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7741,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB63) | (~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7740, 7739])).
% 24.86/16.20 tff(7742,plain,
% 24.86/16.20 ((~v124(constB63, bitIndex1)) | v121(constB63, bitIndex1)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7741, 812, 7636])).
% 24.86/16.20 tff(7743,plain,
% 24.86/16.20 (v121(constB63, bitIndex1)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7742, 7738])).
% 24.86/16.20 tff(7744,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7745,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7746,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB63, constB64)) | (~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 24.86/16.20 tff(7747,plain,
% 24.86/16.20 ((~v121(constB63, bitIndex1)) | v123(constB64, bitIndex1)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7746, 827, 7651])).
% 24.86/16.20 tff(7748,plain,
% 24.86/16.20 (v123(constB64, bitIndex1)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7747, 7743])).
% 24.86/16.20 tff(7749,plain,
% 24.86/16.20 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7750,plain,
% 24.86/16.20 ((v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1))) <=> (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7751,plain,
% 24.86/16.20 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64))))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7750])).
% 24.86/16.20 tff(7752,plain,
% 24.86/16.20 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64)))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7751, 7749])).
% 24.86/16.20 tff(7753,plain,
% 24.86/16.20 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB64, bitIndex1) | (~v94(constB64)) | (~v123(constB64, bitIndex1)))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7754,plain,
% 24.86/16.20 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)) | (~v94(constB64))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 24.86/16.20 tff(7755,plain,
% 24.86/16.20 (v84(constB64, bitIndex1) | (~v94(constB64))),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7754, 842, 7748])).
% 24.86/16.20 tff(7756,plain,
% 24.86/16.20 (v84(constB64, bitIndex1)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7755, 7685])).
% 24.86/16.20 tff(7757,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7758,plain,
% 24.86/16.20 (((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1)) <=> ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7759,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1)))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7758])).
% 24.86/16.20 tff(7760,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7759, 7757])).
% 24.86/16.20 tff(7761,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB64, constB65)) | (~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7762,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB64, bitIndex1)) | (~nextState(constB64, constB65)) | v94(constB65) | v84(constB65, bitIndex1)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7761, 7760])).
% 24.86/16.20 tff(7763,plain,
% 24.86/16.20 ((~v84(constB64, bitIndex1)) | v94(constB65) | v84(constB65, bitIndex1)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7762, 860, 7713])).
% 24.86/16.20 tff(7764,plain,
% 24.86/16.20 ((~v84(constB64, bitIndex1)) | v84(constB65, bitIndex1)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7763, 7725])).
% 24.86/16.20 tff(7765,plain,
% 24.86/16.20 (v84(constB65, bitIndex1)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7764, 7756])).
% 24.86/16.20 tff(7766,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB63)) | (~v124(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB63)) | (~v124(constB63, bitIndex0)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7767,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB63)) | (~v124(constB63, bitIndex0)))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7768,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB63)) | (~v124(constB63, bitIndex0))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7767, 7766])).
% 24.86/16.20 tff(7769,plain,
% 24.86/16.20 (~v124(constB63, bitIndex0)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7768, 876, 7596])).
% 24.86/16.20 tff(7770,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7771,plain,
% 24.86/16.20 ((v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0))) <=> ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7772,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0)))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7771])).
% 24.86/16.20 tff(7773,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7772, 7770])).
% 24.86/16.20 tff(7774,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB63) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7775,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB63, bitIndex0)) | v26(constB63) | v124(constB63, bitIndex0)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7774, 7773])).
% 24.86/16.20 tff(7776,plain,
% 24.86/16.20 ((~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7775, 890, 7636])).
% 24.86/16.20 tff(7777,plain,
% 24.86/16.20 (~v121(constB63, bitIndex0)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7776, 7769])).
% 24.86/16.20 tff(7778,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7779,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0)))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7780,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB63, constB64)) | v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7779, 7778])).
% 24.86/16.20 tff(7781,plain,
% 24.86/16.20 (v121(constB63, bitIndex0) | (~v123(constB64, bitIndex0))),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7780, 908, 7651])).
% 24.86/16.20 tff(7782,plain,
% 24.86/16.20 (~v123(constB64, bitIndex0)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7781, 7777])).
% 24.86/16.20 tff(7783,plain,
% 24.86/16.20 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7784,plain,
% 24.86/16.20 (((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0)) <=> ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7785,plain,
% 24.86/16.20 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64))))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7784])).
% 24.86/16.20 tff(7786,plain,
% 24.86/16.20 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64)))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7785, 7783])).
% 24.86/16.20 tff(7787,plain,
% 24.86/16.20 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB64, bitIndex0)) | (~v94(constB64)) | v123(constB64, bitIndex0))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7788,plain,
% 24.86/16.20 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0) | (~v94(constB64))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7787, 7786])).
% 24.86/16.20 tff(7789,plain,
% 24.86/16.20 ((~v84(constB64, bitIndex0)) | (~v94(constB64))),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7788, 923, 7782])).
% 24.86/16.20 tff(7790,plain,
% 24.86/16.20 (~v84(constB64, bitIndex0)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7789, 7685])).
% 24.86/16.20 tff(7791,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7792,plain,
% 24.86/16.20 (((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0))) <=> (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7793,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0))))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7792])).
% 24.86/16.20 tff(7794,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7793, 7791])).
% 24.86/16.20 tff(7795,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB64, constB65)) | v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0)))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7796,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB64, bitIndex0) | (~nextState(constB64, constB65)) | v94(constB65) | (~v84(constB65, bitIndex0))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 24.86/16.20 tff(7797,plain,
% 24.86/16.20 (v84(constB64, bitIndex0) | v94(constB65) | (~v84(constB65, bitIndex0))),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7796, 147, 7713])).
% 24.86/16.20 tff(7798,plain,
% 24.86/16.20 (v84(constB64, bitIndex0) | (~v84(constB65, bitIndex0))),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7797, 7725])).
% 24.86/16.20 tff(7799,plain,
% 24.86/16.20 (~v84(constB65, bitIndex0)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7798, 7790])).
% 24.86/16.20 tff(7800,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex2) | v115(constB65))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex2) | v115(constB65))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7801,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex2) | v115(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7802,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB65, bitIndex0) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex2) | v115(constB65)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7801, 7800])).
% 24.86/16.20 tff(7803,plain,
% 24.86/16.20 (v115(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7802, 950, 7799, 7765, 7734])).
% 24.86/16.20 tff(7804,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB65)) | v111(constB65))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB65)) | v111(constB65))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7805,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB65)) | v111(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7806,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB65)) | v111(constB65)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7805, 7804])).
% 24.86/16.20 tff(7807,plain,
% 24.86/16.20 (v111(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7806, 961, 7803])).
% 24.86/16.20 tff(7808,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB65) | (~v111(constB65)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB65) | (~v111(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7809,plain,
% 24.86/16.20 (((~v111(constB65)) | v110(constB65)) <=> (v110(constB65) | (~v111(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7810,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB65)) | v110(constB65))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB65) | (~v111(constB65))))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7809])).
% 24.86/16.20 tff(7811,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB65)) | v110(constB65))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB65) | (~v111(constB65)))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7810, 7808])).
% 24.86/16.20 tff(7812,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB65)) | v110(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7813,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB65) | (~v111(constB65))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 24.86/16.20 tff(7814,plain,
% 24.86/16.20 (v110(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7813, 207, 7807])).
% 24.86/16.20 tff(7815,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB65) | (~v110(constB65)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB65) | (~v110(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7816,plain,
% 24.86/16.20 (((~v110(constB65)) | v109(constB65)) <=> (v109(constB65) | (~v110(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7817,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB65)) | v109(constB65))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB65) | (~v110(constB65))))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7816])).
% 24.86/16.20 tff(7818,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB65)) | v109(constB65))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB65) | (~v110(constB65)))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7817, 7815])).
% 24.86/16.20 tff(7819,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB65)) | v109(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7820,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB65) | (~v110(constB65))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7819, 7818])).
% 24.86/16.20 tff(7821,plain,
% 24.86/16.20 (v109(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7820, 221, 7814])).
% 24.86/16.20 tff(7822,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB65)) | v108(constB65))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB65)) | v108(constB65))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7823,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB65)) | v108(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7824,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB65)) | v108(constB65)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7823, 7822])).
% 24.86/16.20 tff(7825,plain,
% 24.86/16.20 (v108(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7824, 235, 7821])).
% 24.86/16.20 tff(7826,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB65) | (~v108(constB65)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB65) | (~v108(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7827,plain,
% 24.86/16.20 (((~v108(constB65)) | v107(constB65)) <=> (v107(constB65) | (~v108(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7828,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB65)) | v107(constB65))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB65) | (~v108(constB65))))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7827])).
% 24.86/16.20 tff(7829,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB65)) | v107(constB65))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB65) | (~v108(constB65)))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7828, 7826])).
% 24.86/16.20 tff(7830,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB65)) | v107(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7831,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB65) | (~v108(constB65))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7830, 7829])).
% 24.86/16.20 tff(7832,plain,
% 24.86/16.20 (v107(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7831, 249, 7825])).
% 24.86/16.20 tff(7833,assumption,(v26(constB65)), introduced(assumption)).
% 24.86/16.20 tff(7834,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7835,plain,
% 24.86/16.20 ($false),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7834, 18, 7833])).
% 24.86/16.20 tff(7836,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 24.86/16.20 tff(7837,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB65) | (~v107(constB65)) | v106(constB65))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB65) | (~v107(constB65)) | v106(constB65))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7838,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB65) | (~v107(constB65)) | v106(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7839,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB65) | (~v107(constB65)) | v106(constB65)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7838, 7837])).
% 24.86/16.20 tff(7840,plain,
% 24.86/16.20 ((~v107(constB65)) | v106(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7839, 263, 7836])).
% 24.86/16.20 tff(7841,plain,
% 24.86/16.20 (v106(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7840, 7832])).
% 24.86/16.20 tff(7842,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB65) | (~v106(constB65)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB65) | (~v106(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7843,plain,
% 24.86/16.20 (((~v106(constB65)) | v102(constB65)) <=> (v102(constB65) | (~v106(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7844,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB65)) | v102(constB65))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB65) | (~v106(constB65))))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7843])).
% 24.86/16.20 tff(7845,plain,
% 24.86/16.20 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB65)) | v102(constB65))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB65) | (~v106(constB65)))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7844, 7842])).
% 24.86/16.20 tff(7846,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB65)) | v102(constB65))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7847,plain,
% 24.86/16.20 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB65) | (~v106(constB65))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7846, 7845])).
% 24.86/16.20 tff(7848,plain,
% 24.86/16.20 (v102(constB65)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7847, 275, 7841])).
% 24.86/16.20 tff(7849,plain,
% 24.86/16.20 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7850,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 24.86/16.20 tff(7851,plain,
% 24.86/16.20 (nextState(constB65, constB66)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7850, 7849])).
% 24.86/16.20 tff(7852,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7853,plain,
% 24.86/16.20 (((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66)) <=> ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7854,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65))))),
% 24.86/16.20 inference(monotonicity,[status(thm)],[7853])).
% 24.86/16.20 tff(7855,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65)))),
% 24.86/16.20 inference(transitivity,[status(thm)],[7854, 7852])).
% 24.86/16.20 tff(7856,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB65, constB66)) | (~v102(constB65)) | v104(constB66))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7857,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v102(constB65))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7856, 7855])).
% 24.86/16.20 tff(7858,plain,
% 24.86/16.20 (v104(constB66) | (~v102(constB65))),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7857, 295, 7851])).
% 24.86/16.20 tff(7859,plain,
% 24.86/16.20 (v104(constB66)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7858, 7848])).
% 24.86/16.20 tff(7860,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7861,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66)))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7862,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB65) | (~nextState(constB65, constB66)) | (~v98(constB66))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7861, 7860])).
% 24.86/16.20 tff(7863,plain,
% 24.86/16.20 (~v98(constB66)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7862, 313, 7851, 7710])).
% 24.86/16.20 tff(7864,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7865,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB65, constB66)) | v96(constB66) | v98(constB66))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7866,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB65, constB66)) | v96(constB66) | v98(constB66)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7865, 7864])).
% 24.86/16.20 tff(7867,plain,
% 24.86/16.20 (v96(constB66) | v98(constB66)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7866, 327, 7851])).
% 24.86/16.20 tff(7868,plain,
% 24.86/16.20 (v96(constB66)),
% 24.86/16.20 inference(unit_resolution,[status(thm)],[7867, 7863])).
% 24.86/16.20 tff(7869,plain,
% 24.86/16.20 (v1(constB66) <=> v1(constB66)),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7870,axiom,(v1(constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_66_1')).
% 24.86/16.20 tff(7871,plain,
% 24.86/16.20 (v1(constB66)),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 24.86/16.20 tff(7872,plain,
% 24.86/16.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))),
% 24.86/16.20 inference(rewrite,[status(thm)],[])).
% 24.86/16.20 tff(7873,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66)))),
% 24.86/16.20 inference(quant_inst,[status(thm)],[])).
% 24.86/16.20 tff(7874,plain,
% 24.86/16.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB65, constB66)) | v95(constB66) | (~v96(constB66)) | (~v1(constB66))),
% 24.86/16.20 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 24.86/16.21 tff(7875,plain,
% 24.86/16.21 (v95(constB66) | (~v96(constB66))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7874, 345, 7851, 7871])).
% 24.86/16.21 tff(7876,plain,
% 24.86/16.21 (v95(constB66)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7875, 7868])).
% 24.86/16.21 tff(7877,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7878,plain,
% 24.86/16.21 (((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66)) <=> ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7879,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66))))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[7878])).
% 24.86/16.21 tff(7880,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66)))),
% 24.86/16.21 inference(transitivity,[status(thm)],[7879, 7877])).
% 24.86/16.21 tff(7881,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB65, constB66)) | (~v95(constB66)) | (~v104(constB66)) | v94(constB66))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7882,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB65, constB66)) | v94(constB66) | (~v95(constB66)) | (~v104(constB66))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7881, 7880])).
% 24.86/16.21 tff(7883,plain,
% 24.86/16.21 (v94(constB66) | (~v95(constB66)) | (~v104(constB66))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7882, 360, 7851])).
% 24.86/16.21 tff(7884,plain,
% 24.86/16.21 (v94(constB66) | (~v104(constB66))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7883, 7876])).
% 24.86/16.21 tff(7885,plain,
% 24.86/16.21 (v94(constB66)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7884, 7859])).
% 24.86/16.21 tff(7886,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB65)) | (~v124(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB65)) | (~v124(constB65, bitIndex2)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7887,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB65)) | (~v124(constB65, bitIndex2)))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7888,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB65)) | (~v124(constB65, bitIndex2))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 24.86/16.21 tff(7889,plain,
% 24.86/16.21 (~v124(constB65, bitIndex2)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7888, 1046, 7803])).
% 24.86/16.21 tff(7890,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7891,plain,
% 24.86/16.21 ((v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2))) <=> ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7892,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2)))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[7891])).
% 24.86/16.21 tff(7893,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2))),
% 24.86/16.21 inference(transitivity,[status(thm)],[7892, 7890])).
% 24.86/16.21 tff(7894,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB65) | v124(constB65, bitIndex2) | (~v121(constB65, bitIndex2)))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7895,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB65, bitIndex2)) | v26(constB65) | v124(constB65, bitIndex2)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 24.86/16.21 tff(7896,plain,
% 24.86/16.21 ((~v121(constB65, bitIndex2)) | v124(constB65, bitIndex2)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7895, 390, 7836])).
% 24.86/16.21 tff(7897,plain,
% 24.86/16.21 (~v121(constB65, bitIndex2)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7896, 7889])).
% 24.86/16.21 tff(7898,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7899,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2)))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7900,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB65, constB66)) | v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7899, 7898])).
% 24.86/16.21 tff(7901,plain,
% 24.86/16.21 (v121(constB65, bitIndex2) | (~v123(constB66, bitIndex2))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7900, 408, 7851])).
% 24.86/16.21 tff(7902,plain,
% 24.86/16.21 (~v123(constB66, bitIndex2)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7901, 7897])).
% 24.86/16.21 tff(7903,plain,
% 24.86/16.21 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7904,plain,
% 24.86/16.21 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66)))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7905,plain,
% 24.86/16.21 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2) | (~v94(constB66))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7904, 7903])).
% 24.86/16.21 tff(7906,plain,
% 24.86/16.21 ((~v84(constB66, bitIndex2)) | (~v94(constB66))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7905, 423, 7902])).
% 24.86/16.21 tff(7907,plain,
% 24.86/16.21 (~v84(constB66, bitIndex2)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7906, 7885])).
% 24.86/16.21 tff(7908,plain,
% 24.86/16.21 ((~v1(constB67)) <=> (~v1(constB67))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7909,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 24.86/16.21 tff(7910,plain,
% 24.86/16.21 (~v1(constB67)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 24.86/16.21 tff(7911,plain,
% 24.86/16.21 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7912,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 24.86/16.21 tff(7913,plain,
% 24.86/16.21 (nextState(constB66, constB67)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7912, 7911])).
% 24.86/16.21 tff(7914,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7915,plain,
% 24.86/16.21 (((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7916,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[7915])).
% 24.86/16.21 tff(7917,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 24.86/16.21 inference(transitivity,[status(thm)],[7916, 7914])).
% 24.86/16.21 tff(7918,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7919,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 24.86/16.21 tff(7920,plain,
% 24.86/16.21 (~v95(constB67)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7919, 73, 7913, 7910])).
% 24.86/16.21 tff(7921,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7922,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7923,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7922, 7921])).
% 24.86/16.21 tff(7924,plain,
% 24.86/16.21 (v95(constB67) | (~v94(constB67))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7923, 90, 7913])).
% 24.86/16.21 tff(7925,plain,
% 24.86/16.21 (~v94(constB67)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7924, 7920])).
% 24.86/16.21 tff(7926,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7927,plain,
% 24.86/16.21 (((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2))) <=> (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7928,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2))))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[7927])).
% 24.86/16.21 tff(7929,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 24.86/16.21 inference(transitivity,[status(thm)],[7928, 7926])).
% 24.86/16.21 tff(7930,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB66, constB67)) | v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2)))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7931,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB66, bitIndex2) | (~nextState(constB66, constB67)) | v94(constB67) | (~v84(constB67, bitIndex2))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 24.86/16.21 tff(7932,plain,
% 24.86/16.21 (v84(constB66, bitIndex2) | v94(constB67) | (~v84(constB67, bitIndex2))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7931, 105, 7913])).
% 24.86/16.21 tff(7933,plain,
% 24.86/16.21 (v84(constB66, bitIndex2) | (~v84(constB67, bitIndex2))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7932, 7925])).
% 24.86/16.21 tff(7934,plain,
% 24.86/16.21 (~v84(constB67, bitIndex2)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7933, 7907])).
% 24.86/16.21 tff(7935,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB65)) | v124(constB65, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB65)) | v124(constB65, bitIndex1))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7936,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB65)) | v124(constB65, bitIndex1))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7937,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB65)) | v124(constB65, bitIndex1)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7936, 7935])).
% 24.86/16.21 tff(7938,plain,
% 24.86/16.21 (v124(constB65, bitIndex1)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7937, 1102, 7803])).
% 24.86/16.21 tff(7939,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB65) | (~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB65) | (~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7940,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB65) | (~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7941,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB65) | (~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 24.86/16.21 tff(7942,plain,
% 24.86/16.21 ((~v124(constB65, bitIndex1)) | v121(constB65, bitIndex1)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7941, 812, 7836])).
% 24.86/16.21 tff(7943,plain,
% 24.86/16.21 (v121(constB65, bitIndex1)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7942, 7938])).
% 24.86/16.21 tff(7944,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7945,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7946,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 24.86/16.21 tff(7947,plain,
% 24.86/16.21 ((~v121(constB65, bitIndex1)) | v123(constB66, bitIndex1)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7946, 827, 7851])).
% 24.86/16.21 tff(7948,plain,
% 24.86/16.21 (v123(constB66, bitIndex1)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7947, 7943])).
% 24.86/16.21 tff(7949,plain,
% 24.86/16.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7950,plain,
% 24.86/16.21 ((v84(constB66, bitIndex1) | (~v94(constB66)) | (~v123(constB66, bitIndex1))) <=> (v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7951,plain,
% 24.86/16.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v94(constB66)) | (~v123(constB66, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66))))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[7950])).
% 24.86/16.21 tff(7952,plain,
% 24.86/16.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v94(constB66)) | (~v123(constB66, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66)))),
% 24.86/16.21 inference(transitivity,[status(thm)],[7951, 7949])).
% 24.86/16.21 tff(7953,plain,
% 24.86/16.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB66, bitIndex1) | (~v94(constB66)) | (~v123(constB66, bitIndex1)))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7954,plain,
% 24.86/16.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1)) | (~v94(constB66))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 24.86/16.21 tff(7955,plain,
% 24.86/16.21 (v84(constB66, bitIndex1) | (~v94(constB66))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7954, 842, 7948])).
% 24.86/16.21 tff(7956,plain,
% 24.86/16.21 (v84(constB66, bitIndex1)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7955, 7885])).
% 24.86/16.21 tff(7957,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7958,plain,
% 24.86/16.21 (((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1)) <=> ((~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7959,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1)))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[7958])).
% 24.86/16.21 tff(7960,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1))),
% 24.86/16.21 inference(transitivity,[status(thm)],[7959, 7957])).
% 24.86/16.21 tff(7961,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7962,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB66, bitIndex1)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex1)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 24.86/16.21 tff(7963,plain,
% 24.86/16.21 ((~v84(constB66, bitIndex1)) | v94(constB67) | v84(constB67, bitIndex1)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7962, 860, 7913])).
% 24.86/16.21 tff(7964,plain,
% 24.86/16.21 ((~v84(constB66, bitIndex1)) | v84(constB67, bitIndex1)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7963, 7925])).
% 24.86/16.21 tff(7965,plain,
% 24.86/16.21 (v84(constB67, bitIndex1)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7964, 7956])).
% 24.86/16.21 tff(7966,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB65)) | v124(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB65)) | v124(constB65, bitIndex0))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7967,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB65)) | v124(constB65, bitIndex0))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7968,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB65)) | v124(constB65, bitIndex0)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7967, 7966])).
% 24.86/16.21 tff(7969,plain,
% 24.86/16.21 (v124(constB65, bitIndex0)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7968, 1140, 7803])).
% 24.86/16.21 tff(7970,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7971,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7972,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB65) | (~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7971, 7970])).
% 24.86/16.21 tff(7973,plain,
% 24.86/16.21 ((~v124(constB65, bitIndex0)) | v121(constB65, bitIndex0)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7972, 547, 7836])).
% 24.86/16.21 tff(7974,plain,
% 24.86/16.21 (v121(constB65, bitIndex0)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7973, 7969])).
% 24.86/16.21 tff(7975,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7976,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7977,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB65, constB66)) | (~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7976, 7975])).
% 24.86/16.21 tff(7978,plain,
% 24.86/16.21 ((~v121(constB65, bitIndex0)) | v123(constB66, bitIndex0)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7977, 562, 7851])).
% 24.86/16.21 tff(7979,plain,
% 24.86/16.21 (v123(constB66, bitIndex0)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7978, 7974])).
% 24.86/16.21 tff(7980,plain,
% 24.86/16.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7981,plain,
% 24.86/16.21 ((v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0))) <=> (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7982,plain,
% 24.86/16.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66))))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[7981])).
% 24.86/16.21 tff(7983,plain,
% 24.86/16.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66)))),
% 24.86/16.21 inference(transitivity,[status(thm)],[7982, 7980])).
% 24.86/16.21 tff(7984,plain,
% 24.86/16.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB66, bitIndex0) | (~v94(constB66)) | (~v123(constB66, bitIndex0)))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7985,plain,
% 24.86/16.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0)) | (~v94(constB66))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7984, 7983])).
% 24.86/16.21 tff(7986,plain,
% 24.86/16.21 (v84(constB66, bitIndex0) | (~v94(constB66))),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7985, 577, 7979])).
% 24.86/16.21 tff(7987,plain,
% 24.86/16.21 (v84(constB66, bitIndex0)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7986, 7885])).
% 24.86/16.21 tff(7988,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7989,plain,
% 24.86/16.21 (((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0)) <=> ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7990,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0)))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[7989])).
% 24.86/16.21 tff(7991,plain,
% 24.86/16.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0))),
% 24.86/16.21 inference(transitivity,[status(thm)],[7990, 7988])).
% 24.86/16.21 tff(7992,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB66, constB67)) | (~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7993,plain,
% 24.86/16.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB66, bitIndex0)) | (~nextState(constB66, constB67)) | v94(constB67) | v84(constB67, bitIndex0)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7992, 7991])).
% 24.86/16.21 tff(7994,plain,
% 24.86/16.21 ((~v84(constB66, bitIndex0)) | v94(constB67) | v84(constB67, bitIndex0)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7993, 595, 7913])).
% 24.86/16.21 tff(7995,plain,
% 24.86/16.21 ((~v84(constB66, bitIndex0)) | v84(constB67, bitIndex0)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7994, 7925])).
% 24.86/16.21 tff(7996,plain,
% 24.86/16.21 (v84(constB67, bitIndex0)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7995, 7987])).
% 24.86/16.21 tff(7997,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex1)) | v84(constB67, bitIndex2) | v116(constB67))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex1)) | v84(constB67, bitIndex2) | v116(constB67))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(7998,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex1)) | v84(constB67, bitIndex2) | v116(constB67))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(7999,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex1)) | v84(constB67, bitIndex2) | v116(constB67)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[7998, 7997])).
% 24.86/16.21 tff(8000,plain,
% 24.86/16.21 (v116(constB67)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[7999, 1181, 7996, 7965, 7934])).
% 24.86/16.21 tff(8001,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB67)) | v110(constB67))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB67)) | v110(constB67))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(8002,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB67)) | v110(constB67))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(8003,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB67)) | v110(constB67)),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[8002, 8001])).
% 24.86/16.21 tff(8004,plain,
% 24.86/16.21 (v110(constB67)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[8003, 1192, 8000])).
% 24.86/16.21 tff(8005,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB67) | (~v110(constB67)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB67) | (~v110(constB67)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(8006,plain,
% 24.86/16.21 (((~v110(constB67)) | v109(constB67)) <=> (v109(constB67) | (~v110(constB67)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(8007,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB67)) | v109(constB67))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB67) | (~v110(constB67))))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[8006])).
% 24.86/16.21 tff(8008,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB67)) | v109(constB67))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB67) | (~v110(constB67)))),
% 24.86/16.21 inference(transitivity,[status(thm)],[8007, 8005])).
% 24.86/16.21 tff(8009,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB67)) | v109(constB67))),
% 24.86/16.21 inference(quant_inst,[status(thm)],[])).
% 24.86/16.21 tff(8010,plain,
% 24.86/16.21 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB67) | (~v110(constB67))),
% 24.86/16.21 inference(modus_ponens,[status(thm)],[8009, 8008])).
% 24.86/16.21 tff(8011,plain,
% 24.86/16.21 (v109(constB67)),
% 24.86/16.21 inference(unit_resolution,[status(thm)],[8010, 221, 8004])).
% 24.86/16.21 tff(8012,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v109(constB67)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v109(constB67)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(8013,plain,
% 24.86/16.21 (((~v109(constB67)) | v108(constB67)) <=> (v108(constB67) | (~v109(constB67)))),
% 24.86/16.21 inference(rewrite,[status(thm)],[])).
% 24.86/16.21 tff(8014,plain,
% 24.86/16.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB67) | (~v109(constB67))))),
% 24.86/16.21 inference(monotonicity,[status(thm)],[8013])).
% 24.86/16.22 tff(8015,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB67)) | v108(constB67))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v109(constB67)))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8014, 8012])).
% 24.86/16.22 tff(8016,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB67)) | v108(constB67))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8017,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB67) | (~v109(constB67))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8016, 8015])).
% 24.86/16.22 tff(8018,plain,
% 24.86/16.22 (v108(constB67)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8017, 235, 8011])).
% 24.86/16.22 tff(8019,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB67)) | v107(constB67))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB67)) | v107(constB67))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8020,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB67)) | v107(constB67))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8021,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB67)) | v107(constB67)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 24.86/16.22 tff(8022,plain,
% 24.86/16.22 (v107(constB67)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8021, 249, 8018])).
% 24.86/16.22 tff(8023,assumption,(v26(constB67)), introduced(assumption)).
% 24.86/16.22 tff(8024,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB67))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8025,plain,
% 24.86/16.22 ($false),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8024, 18, 8023])).
% 24.86/16.22 tff(8026,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 24.86/16.22 tff(8027,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8028,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8029,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8028, 8027])).
% 24.86/16.22 tff(8030,plain,
% 24.86/16.22 ((~v107(constB67)) | v106(constB67)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8029, 263, 8026])).
% 24.86/16.22 tff(8031,plain,
% 24.86/16.22 (v106(constB67)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8030, 8022])).
% 24.86/16.22 tff(8032,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB67) | (~v106(constB67)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB67) | (~v106(constB67)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8033,plain,
% 24.86/16.22 (((~v106(constB67)) | v102(constB67)) <=> (v102(constB67) | (~v106(constB67)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8034,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB67)) | v102(constB67))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB67) | (~v106(constB67))))),
% 24.86/16.22 inference(monotonicity,[status(thm)],[8033])).
% 24.86/16.22 tff(8035,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB67)) | v102(constB67))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB67) | (~v106(constB67)))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8034, 8032])).
% 24.86/16.22 tff(8036,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB67)) | v102(constB67))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8037,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB67) | (~v106(constB67))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8036, 8035])).
% 24.86/16.22 tff(8038,plain,
% 24.86/16.22 (v102(constB67)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8037, 275, 8031])).
% 24.86/16.22 tff(8039,plain,
% 24.86/16.22 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8040,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 24.86/16.22 tff(8041,plain,
% 24.86/16.22 (nextState(constB67, constB68)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8040, 8039])).
% 24.86/16.22 tff(8042,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8043,plain,
% 24.86/16.22 (((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68)) <=> ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8044,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))))),
% 24.86/16.22 inference(monotonicity,[status(thm)],[8043])).
% 24.86/16.22 tff(8045,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8044, 8042])).
% 24.86/16.22 tff(8046,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8047,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 24.86/16.22 tff(8048,plain,
% 24.86/16.22 (v104(constB68) | (~v102(constB67))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8047, 295, 8041])).
% 24.86/16.22 tff(8049,plain,
% 24.86/16.22 (v104(constB68)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8048, 8038])).
% 24.86/16.22 tff(8050,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8051,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8052,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8051, 8050])).
% 24.86/16.22 tff(8053,plain,
% 24.86/16.22 (~v98(constB68)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8052, 313, 8041, 7910])).
% 24.86/16.22 tff(8054,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8055,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8056,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8055, 8054])).
% 24.86/16.22 tff(8057,plain,
% 24.86/16.22 (v96(constB68) | v98(constB68)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8056, 327, 8041])).
% 24.86/16.22 tff(8058,plain,
% 24.86/16.22 (v96(constB68)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8057, 8053])).
% 24.86/16.22 tff(8059,plain,
% 24.86/16.22 (v1(constB68) <=> v1(constB68)),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8060,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 24.86/16.22 tff(8061,plain,
% 24.86/16.22 (v1(constB68)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8060, 8059])).
% 24.86/16.22 tff(8062,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8063,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8064,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8063, 8062])).
% 24.86/16.22 tff(8065,plain,
% 24.86/16.22 (v95(constB68) | (~v96(constB68))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8064, 345, 8041, 8061])).
% 24.86/16.22 tff(8066,plain,
% 24.86/16.22 (v95(constB68)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8065, 8058])).
% 24.86/16.22 tff(8067,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8068,plain,
% 24.86/16.22 (((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68)) <=> ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8069,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68))))),
% 24.86/16.22 inference(monotonicity,[status(thm)],[8068])).
% 24.86/16.22 tff(8070,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68)))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8069, 8067])).
% 24.86/16.22 tff(8071,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8072,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | v94(constB68) | (~v95(constB68)) | (~v104(constB68))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8071, 8070])).
% 24.86/16.22 tff(8073,plain,
% 24.86/16.22 (v94(constB68) | (~v95(constB68)) | (~v104(constB68))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8072, 360, 8041])).
% 24.86/16.22 tff(8074,plain,
% 24.86/16.22 (v94(constB68) | (~v104(constB68))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8073, 8066])).
% 24.86/16.22 tff(8075,plain,
% 24.86/16.22 (v94(constB68)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8074, 8049])).
% 24.86/16.22 tff(8076,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB67)) | v124(constB67, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB67)) | v124(constB67, bitIndex2))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8077,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB67)) | v124(constB67, bitIndex2))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8078,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB67)) | v124(constB67, bitIndex2)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8077, 8076])).
% 24.86/16.22 tff(8079,plain,
% 24.86/16.22 (v124(constB67, bitIndex2)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8078, 1273, 8000])).
% 24.86/16.22 tff(8080,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8081,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8082,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB67) | (~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 24.86/16.22 tff(8083,plain,
% 24.86/16.22 ((~v124(constB67, bitIndex2)) | v121(constB67, bitIndex2)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8082, 1287, 8026])).
% 24.86/16.22 tff(8084,plain,
% 24.86/16.22 (v121(constB67, bitIndex2)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8083, 8079])).
% 24.86/16.22 tff(8085,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8086,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8087,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB67, constB68)) | (~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 24.86/16.22 tff(8088,plain,
% 24.86/16.22 ((~v121(constB67, bitIndex2)) | v123(constB68, bitIndex2)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8087, 1302, 8041])).
% 24.86/16.22 tff(8089,plain,
% 24.86/16.22 (v123(constB68, bitIndex2)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8088, 8084])).
% 24.86/16.22 tff(8090,plain,
% 24.86/16.22 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8091,plain,
% 24.86/16.22 ((v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2))) <=> (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8092,plain,
% 24.86/16.22 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68))))),
% 24.86/16.22 inference(monotonicity,[status(thm)],[8091])).
% 24.86/16.22 tff(8093,plain,
% 24.86/16.22 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68)))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8092, 8090])).
% 24.86/16.22 tff(8094,plain,
% 24.86/16.22 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB68, bitIndex2) | (~v94(constB68)) | (~v123(constB68, bitIndex2)))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8095,plain,
% 24.86/16.22 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2)) | (~v94(constB68))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8094, 8093])).
% 24.86/16.22 tff(8096,plain,
% 24.86/16.22 (v84(constB68, bitIndex2) | (~v94(constB68))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8095, 1317, 8089])).
% 24.86/16.22 tff(8097,plain,
% 24.86/16.22 (v84(constB68, bitIndex2)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8096, 8075])).
% 24.86/16.22 tff(8098,plain,
% 24.86/16.22 ((~v1(constB69)) <=> (~v1(constB69))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8099,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 24.86/16.22 tff(8100,plain,
% 24.86/16.22 (~v1(constB69)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 24.86/16.22 tff(8101,plain,
% 24.86/16.22 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8102,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 24.86/16.22 tff(8103,plain,
% 24.86/16.22 (nextState(constB68, constB69)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 24.86/16.22 tff(8104,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8105,plain,
% 24.86/16.22 (((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8106,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))))),
% 24.86/16.22 inference(monotonicity,[status(thm)],[8105])).
% 24.86/16.22 tff(8107,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8106, 8104])).
% 24.86/16.22 tff(8108,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8109,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8108, 8107])).
% 24.86/16.22 tff(8110,plain,
% 24.86/16.22 (~v95(constB69)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8109, 73, 8103, 8100])).
% 24.86/16.22 tff(8111,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8112,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8113,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8112, 8111])).
% 24.86/16.22 tff(8114,plain,
% 24.86/16.22 (v95(constB69) | (~v94(constB69))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8113, 90, 8103])).
% 24.86/16.22 tff(8115,plain,
% 24.86/16.22 (~v94(constB69)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8114, 8110])).
% 24.86/16.22 tff(8116,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8117,plain,
% 24.86/16.22 (((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2)) <=> ((~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8118,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2)))),
% 24.86/16.22 inference(monotonicity,[status(thm)],[8117])).
% 24.86/16.22 tff(8119,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8118, 8116])).
% 24.86/16.22 tff(8120,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB68, constB69)) | (~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8121,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB68, bitIndex2)) | (~nextState(constB68, constB69)) | v94(constB69) | v84(constB69, bitIndex2)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8120, 8119])).
% 24.86/16.22 tff(8122,plain,
% 24.86/16.22 ((~v84(constB68, bitIndex2)) | v94(constB69) | v84(constB69, bitIndex2)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8121, 1353, 8103])).
% 24.86/16.22 tff(8123,plain,
% 24.86/16.22 ((~v84(constB68, bitIndex2)) | v84(constB69, bitIndex2)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8122, 8115])).
% 24.86/16.22 tff(8124,plain,
% 24.86/16.22 (v84(constB69, bitIndex2)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8123, 8097])).
% 24.86/16.22 tff(8125,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB67)) | (~v124(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB67)) | (~v124(constB67, bitIndex1)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8126,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB67)) | (~v124(constB67, bitIndex1)))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8127,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB67)) | (~v124(constB67, bitIndex1))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8126, 8125])).
% 24.86/16.22 tff(8128,plain,
% 24.86/16.22 (~v124(constB67, bitIndex1)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8127, 1369, 8000])).
% 24.86/16.22 tff(8129,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8130,plain,
% 24.86/16.22 ((v26(constB67) | v124(constB67, bitIndex1) | (~v121(constB67, bitIndex1))) <=> ((~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8131,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB67) | v124(constB67, bitIndex1) | (~v121(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1)))),
% 24.86/16.22 inference(monotonicity,[status(thm)],[8130])).
% 24.86/16.22 tff(8132,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB67) | v124(constB67, bitIndex1) | (~v121(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8131, 8129])).
% 24.86/16.22 tff(8133,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB67) | v124(constB67, bitIndex1) | (~v121(constB67, bitIndex1)))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8134,plain,
% 24.86/16.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB67, bitIndex1)) | v26(constB67) | v124(constB67, bitIndex1)),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8133, 8132])).
% 24.86/16.22 tff(8135,plain,
% 24.86/16.22 ((~v121(constB67, bitIndex1)) | v124(constB67, bitIndex1)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8134, 476, 8026])).
% 24.86/16.22 tff(8136,plain,
% 24.86/16.22 (~v121(constB67, bitIndex1)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8135, 8128])).
% 24.86/16.22 tff(8137,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8138,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1)))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8139,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8138, 8137])).
% 24.86/16.22 tff(8140,plain,
% 24.86/16.22 (v121(constB67, bitIndex1) | (~v123(constB68, bitIndex1))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8139, 494, 8041])).
% 24.86/16.22 tff(8141,plain,
% 24.86/16.22 (~v123(constB68, bitIndex1)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8140, 8136])).
% 24.86/16.22 tff(8142,plain,
% 24.86/16.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8143,plain,
% 24.86/16.22 (((~v84(constB68, bitIndex1)) | (~v94(constB68)) | v123(constB68, bitIndex1)) <=> ((~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8144,plain,
% 24.86/16.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~v94(constB68)) | v123(constB68, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68))))),
% 24.86/16.22 inference(monotonicity,[status(thm)],[8143])).
% 24.86/16.22 tff(8145,plain,
% 24.86/16.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~v94(constB68)) | v123(constB68, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68)))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8144, 8142])).
% 24.86/16.22 tff(8146,plain,
% 24.86/16.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB68, bitIndex1)) | (~v94(constB68)) | v123(constB68, bitIndex1))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8147,plain,
% 24.86/16.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1) | (~v94(constB68))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 24.86/16.22 tff(8148,plain,
% 24.86/16.22 ((~v84(constB68, bitIndex1)) | (~v94(constB68))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8147, 509, 8141])).
% 24.86/16.22 tff(8149,plain,
% 24.86/16.22 (~v84(constB68, bitIndex1)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8148, 8075])).
% 24.86/16.22 tff(8150,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8151,plain,
% 24.86/16.22 (((~nextState(constB68, constB69)) | v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1))) <=> (v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.22 tff(8152,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1))))),
% 24.86/16.22 inference(monotonicity,[status(thm)],[8151])).
% 24.86/16.22 tff(8153,plain,
% 24.86/16.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1)))),
% 24.86/16.22 inference(transitivity,[status(thm)],[8152, 8150])).
% 24.86/16.22 tff(8154,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1)))),
% 24.86/16.22 inference(quant_inst,[status(thm)],[])).
% 24.86/16.22 tff(8155,plain,
% 24.86/16.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB68, bitIndex1) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex1))),
% 24.86/16.22 inference(modus_ponens,[status(thm)],[8154, 8153])).
% 24.86/16.22 tff(8156,plain,
% 24.86/16.22 (v84(constB68, bitIndex1) | v94(constB69) | (~v84(constB69, bitIndex1))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8155, 126, 8103])).
% 24.86/16.22 tff(8157,plain,
% 24.86/16.22 (v84(constB68, bitIndex1) | (~v84(constB69, bitIndex1))),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8156, 8115])).
% 24.86/16.22 tff(8158,plain,
% 24.86/16.22 (~v84(constB69, bitIndex1)),
% 24.86/16.22 inference(unit_resolution,[status(thm)],[8157, 8149])).
% 24.86/16.22 tff(8159,plain,
% 24.86/16.22 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB67)) | (~v124(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB67)) | (~v124(constB67, bitIndex0)))),
% 24.86/16.22 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8160,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB67)) | (~v124(constB67, bitIndex0)))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8161,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB67)) | (~v124(constB67, bitIndex0))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8160, 8159])).
% 24.86/16.23 tff(8162,plain,
% 24.86/16.23 (~v124(constB67, bitIndex0)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8161, 1410, 8000])).
% 24.86/16.23 tff(8163,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8164,plain,
% 24.86/16.23 ((v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0))) <=> ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8165,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0)))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8164])).
% 24.86/16.23 tff(8166,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8165, 8163])).
% 24.86/16.23 tff(8167,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB67) | v124(constB67, bitIndex0) | (~v121(constB67, bitIndex0)))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8168,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB67, bitIndex0)) | v26(constB67) | v124(constB67, bitIndex0)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 24.86/16.23 tff(8169,plain,
% 24.86/16.23 ((~v121(constB67, bitIndex0)) | v124(constB67, bitIndex0)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8168, 890, 8026])).
% 24.86/16.23 tff(8170,plain,
% 24.86/16.23 (~v121(constB67, bitIndex0)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8169, 8162])).
% 24.86/16.23 tff(8171,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8172,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0)))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8173,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB67, constB68)) | v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8172, 8171])).
% 24.86/16.23 tff(8174,plain,
% 24.86/16.23 (v121(constB67, bitIndex0) | (~v123(constB68, bitIndex0))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8173, 908, 8041])).
% 24.86/16.23 tff(8175,plain,
% 24.86/16.23 (~v123(constB68, bitIndex0)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8174, 8170])).
% 24.86/16.23 tff(8176,plain,
% 24.86/16.23 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8177,plain,
% 24.86/16.23 (((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0)) <=> ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8178,plain,
% 24.86/16.23 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68))))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8177])).
% 24.86/16.23 tff(8179,plain,
% 24.86/16.23 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68)))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8178, 8176])).
% 24.86/16.23 tff(8180,plain,
% 24.86/16.23 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB68, bitIndex0)) | (~v94(constB68)) | v123(constB68, bitIndex0))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8181,plain,
% 24.86/16.23 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0) | (~v94(constB68))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8180, 8179])).
% 24.86/16.23 tff(8182,plain,
% 24.86/16.23 ((~v84(constB68, bitIndex0)) | (~v94(constB68))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8181, 923, 8175])).
% 24.86/16.23 tff(8183,plain,
% 24.86/16.23 (~v84(constB68, bitIndex0)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8182, 8075])).
% 24.86/16.23 tff(8184,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8185,plain,
% 24.86/16.23 (((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0))) <=> (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8186,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0))))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8185])).
% 24.86/16.23 tff(8187,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8186, 8184])).
% 24.86/16.23 tff(8188,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB68, constB69)) | v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0)))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8189,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB68, bitIndex0) | (~nextState(constB68, constB69)) | v94(constB69) | (~v84(constB69, bitIndex0))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8188, 8187])).
% 24.86/16.23 tff(8190,plain,
% 24.86/16.23 (v84(constB68, bitIndex0) | v94(constB69) | (~v84(constB69, bitIndex0))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8189, 147, 8103])).
% 24.86/16.23 tff(8191,plain,
% 24.86/16.23 (v84(constB68, bitIndex0) | (~v84(constB69, bitIndex0))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8190, 8115])).
% 24.86/16.23 tff(8192,plain,
% 24.86/16.23 (~v84(constB69, bitIndex0)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8191, 8183])).
% 24.86/16.23 tff(8193,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8194,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8195,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8194, 8193])).
% 24.86/16.23 tff(8196,plain,
% 24.86/16.23 (v172(constB69)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8195, 1454, 8192, 8158, 8124])).
% 24.86/16.23 tff(8197,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB69) | (~v172(constB69)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB69) | (~v172(constB69)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8198,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB69) | (~v172(constB69)))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8199,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB69) | (~v172(constB69))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8198, 8197])).
% 24.86/16.23 tff(8200,plain,
% 24.86/16.23 (v109(constB69)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8199, 1468, 8196])).
% 24.86/16.23 tff(8201,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB69)) | v108(constB69))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB69)) | v108(constB69))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8202,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB69)) | v108(constB69))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8203,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB69)) | v108(constB69)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8202, 8201])).
% 24.86/16.23 tff(8204,plain,
% 24.86/16.23 (v108(constB69)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8203, 235, 8200])).
% 24.86/16.23 tff(8205,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB69) | (~v108(constB69)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB69) | (~v108(constB69)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8206,plain,
% 24.86/16.23 (((~v108(constB69)) | v107(constB69)) <=> (v107(constB69) | (~v108(constB69)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8207,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB69)) | v107(constB69))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB69) | (~v108(constB69))))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8206])).
% 24.86/16.23 tff(8208,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB69)) | v107(constB69))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB69) | (~v108(constB69)))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8207, 8205])).
% 24.86/16.23 tff(8209,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB69)) | v107(constB69))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8210,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB69) | (~v108(constB69))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8209, 8208])).
% 24.86/16.23 tff(8211,plain,
% 24.86/16.23 (v107(constB69)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8210, 249, 8204])).
% 24.86/16.23 tff(8212,assumption,(~v102(constB69)), introduced(assumption)).
% 24.86/16.23 tff(8213,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB69) | (~v106(constB69)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB69) | (~v106(constB69)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8214,plain,
% 24.86/16.23 (((~v106(constB69)) | v102(constB69)) <=> (v102(constB69) | (~v106(constB69)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8215,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB69)) | v102(constB69))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB69) | (~v106(constB69))))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8214])).
% 24.86/16.23 tff(8216,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB69)) | v102(constB69))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB69) | (~v106(constB69)))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8215, 8213])).
% 24.86/16.23 tff(8217,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB69)) | v102(constB69))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8218,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB69) | (~v106(constB69))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8217, 8216])).
% 24.86/16.23 tff(8219,plain,
% 24.86/16.23 (~v106(constB69)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8218, 275, 8212])).
% 24.86/16.23 tff(8220,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB69) | (~v26(constB69)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB69) | (~v26(constB69)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8221,plain,
% 24.86/16.23 (((~v26(constB69)) | v102(constB69)) <=> (v102(constB69) | (~v26(constB69)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8222,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB69)) | v102(constB69))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB69) | (~v26(constB69))))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8221])).
% 24.86/16.23 tff(8223,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB69)) | v102(constB69))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB69) | (~v26(constB69)))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8222, 8220])).
% 24.86/16.23 tff(8224,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB69)) | v102(constB69))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8225,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB69) | (~v26(constB69))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 24.86/16.23 tff(8226,plain,
% 24.86/16.23 (~v26(constB69)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8225, 660, 8212])).
% 24.86/16.23 tff(8227,assumption,(v107(constB69)), introduced(assumption)).
% 24.86/16.23 tff(8228,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | (~v107(constB69)) | v106(constB69))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8229,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8230,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | (~v107(constB69)) | v106(constB69)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8229, 8228])).
% 24.86/16.23 tff(8231,plain,
% 24.86/16.23 (v26(constB69) | v106(constB69)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8230, 263, 8227])).
% 24.86/16.23 tff(8232,plain,
% 24.86/16.23 ($false),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8231, 8226, 8219])).
% 24.86/16.23 tff(8233,plain,(v102(constB69) | (~v107(constB69))), inference(lemma,lemma(discharge,[]))).
% 24.86/16.23 tff(8234,plain,
% 24.86/16.23 (v102(constB69)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8233, 8211])).
% 24.86/16.23 tff(8235,plain,
% 24.86/16.23 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8236,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 24.86/16.23 tff(8237,plain,
% 24.86/16.23 (nextState(constB69, constB70)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8236, 8235])).
% 24.86/16.23 tff(8238,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8239,plain,
% 24.86/16.23 (((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70)) <=> ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8240,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8239])).
% 24.86/16.23 tff(8241,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8240, 8238])).
% 24.86/16.23 tff(8242,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8243,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8242, 8241])).
% 24.86/16.23 tff(8244,plain,
% 24.86/16.23 (v104(constB70) | (~v102(constB69))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8243, 295, 8237])).
% 24.86/16.23 tff(8245,plain,
% 24.86/16.23 (v104(constB70)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8244, 8234])).
% 24.86/16.23 tff(8246,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8247,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8248,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 24.86/16.23 tff(8249,plain,
% 24.86/16.23 (~v98(constB70)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8248, 313, 8237, 8100])).
% 24.86/16.23 tff(8250,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8251,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8252,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 24.86/16.23 tff(8253,plain,
% 24.86/16.23 (v96(constB70) | v98(constB70)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8252, 327, 8237])).
% 24.86/16.23 tff(8254,plain,
% 24.86/16.23 (v96(constB70)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8253, 8249])).
% 24.86/16.23 tff(8255,plain,
% 24.86/16.23 (v1(constB70) <=> v1(constB70)),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8256,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 24.86/16.23 tff(8257,plain,
% 24.86/16.23 (v1(constB70)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8256, 8255])).
% 24.86/16.23 tff(8258,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8259,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8260,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8259, 8258])).
% 24.86/16.23 tff(8261,plain,
% 24.86/16.23 (v95(constB70) | (~v96(constB70))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8260, 345, 8237, 8257])).
% 24.86/16.23 tff(8262,plain,
% 24.86/16.23 (v95(constB70)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8261, 8254])).
% 24.86/16.23 tff(8263,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8264,plain,
% 24.86/16.23 (((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70)) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8265,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70))))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8264])).
% 24.86/16.23 tff(8266,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70)))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8265, 8263])).
% 24.86/16.23 tff(8267,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8268,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | v94(constB70) | (~v95(constB70)) | (~v104(constB70))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 24.86/16.23 tff(8269,plain,
% 24.86/16.23 (v94(constB70) | (~v95(constB70)) | (~v104(constB70))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8268, 360, 8237])).
% 24.86/16.23 tff(8270,plain,
% 24.86/16.23 (v94(constB70) | (~v104(constB70))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8269, 8262])).
% 24.86/16.23 tff(8271,plain,
% 24.86/16.23 (v94(constB70)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8270, 8245])).
% 24.86/16.23 tff(8272,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB69)) | v124(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB69)) | v124(constB69, bitIndex2))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8273,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB69)) | v124(constB69, bitIndex2))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8274,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB69)) | v124(constB69, bitIndex2)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8273, 8272])).
% 24.86/16.23 tff(8275,plain,
% 24.86/16.23 (v124(constB69, bitIndex2)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8274, 1539, 8196])).
% 24.86/16.23 tff(8276,assumption,(v26(constB69)), introduced(assumption)).
% 24.86/16.23 tff(8277,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB69))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8278,plain,
% 24.86/16.23 ($false),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8277, 18, 8276])).
% 24.86/16.23 tff(8279,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 24.86/16.23 tff(8280,plain,
% 24.86/16.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB69) | (~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB69) | (~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8281,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB69) | (~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8282,plain,
% 24.86/16.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB69) | (~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8281, 8280])).
% 24.86/16.23 tff(8283,plain,
% 24.86/16.23 ((~v124(constB69, bitIndex2)) | v121(constB69, bitIndex2)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8282, 1287, 8279])).
% 24.86/16.23 tff(8284,plain,
% 24.86/16.23 (v121(constB69, bitIndex2)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8283, 8275])).
% 24.86/16.23 tff(8285,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8286,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8287,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8286, 8285])).
% 24.86/16.23 tff(8288,plain,
% 24.86/16.23 ((~v121(constB69, bitIndex2)) | v123(constB70, bitIndex2)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8287, 1302, 8237])).
% 24.86/16.23 tff(8289,plain,
% 24.86/16.23 (v123(constB70, bitIndex2)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8288, 8284])).
% 24.86/16.23 tff(8290,plain,
% 24.86/16.23 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8291,plain,
% 24.86/16.23 ((v84(constB70, bitIndex2) | (~v94(constB70)) | (~v123(constB70, bitIndex2))) <=> (v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8292,plain,
% 24.86/16.23 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v94(constB70)) | (~v123(constB70, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70))))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8291])).
% 24.86/16.23 tff(8293,plain,
% 24.86/16.23 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v94(constB70)) | (~v123(constB70, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70)))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8292, 8290])).
% 24.86/16.23 tff(8294,plain,
% 24.86/16.23 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB70, bitIndex2) | (~v94(constB70)) | (~v123(constB70, bitIndex2)))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8295,plain,
% 24.86/16.23 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2)) | (~v94(constB70))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8294, 8293])).
% 24.86/16.23 tff(8296,plain,
% 24.86/16.23 (v84(constB70, bitIndex2) | (~v94(constB70))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8295, 1317, 8289])).
% 24.86/16.23 tff(8297,plain,
% 24.86/16.23 (v84(constB70, bitIndex2)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8296, 8271])).
% 24.86/16.23 tff(8298,plain,
% 24.86/16.23 ((~v1(constB71)) <=> (~v1(constB71))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8299,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 24.86/16.23 tff(8300,plain,
% 24.86/16.23 (~v1(constB71)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8299, 8298])).
% 24.86/16.23 tff(8301,plain,
% 24.86/16.23 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8302,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 24.86/16.23 tff(8303,plain,
% 24.86/16.23 (nextState(constB70, constB71)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8302, 8301])).
% 24.86/16.23 tff(8304,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8305,plain,
% 24.86/16.23 (((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8306,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8305])).
% 24.86/16.23 tff(8307,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8306, 8304])).
% 24.86/16.23 tff(8308,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8309,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8308, 8307])).
% 24.86/16.23 tff(8310,plain,
% 24.86/16.23 (~v95(constB71)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8309, 73, 8303, 8300])).
% 24.86/16.23 tff(8311,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8312,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8313,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71))),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8312, 8311])).
% 24.86/16.23 tff(8314,plain,
% 24.86/16.23 (v95(constB71) | (~v94(constB71))),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8313, 90, 8303])).
% 24.86/16.23 tff(8315,plain,
% 24.86/16.23 (~v94(constB71)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8314, 8310])).
% 24.86/16.23 tff(8316,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8317,plain,
% 24.86/16.23 (((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2)) <=> ((~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2))),
% 24.86/16.23 inference(rewrite,[status(thm)],[])).
% 24.86/16.23 tff(8318,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2)))),
% 24.86/16.23 inference(monotonicity,[status(thm)],[8317])).
% 24.86/16.23 tff(8319,plain,
% 24.86/16.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2))),
% 24.86/16.23 inference(transitivity,[status(thm)],[8318, 8316])).
% 24.86/16.23 tff(8320,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2))),
% 24.86/16.23 inference(quant_inst,[status(thm)],[])).
% 24.86/16.23 tff(8321,plain,
% 24.86/16.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB70, bitIndex2)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex2)),
% 24.86/16.23 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 24.86/16.23 tff(8322,plain,
% 24.86/16.23 ((~v84(constB70, bitIndex2)) | v94(constB71) | v84(constB71, bitIndex2)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8321, 1353, 8303])).
% 24.86/16.23 tff(8323,plain,
% 24.86/16.23 ((~v84(constB70, bitIndex2)) | v84(constB71, bitIndex2)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8322, 8315])).
% 24.86/16.23 tff(8324,plain,
% 24.86/16.23 (v84(constB71, bitIndex2)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8323, 8297])).
% 24.86/16.23 tff(8325,plain,
% 24.86/16.23 ($false),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8324, 10])).
% 24.86/16.23 tff(8326,plain,((~(constB71 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 24.86/16.23 tff(8327,plain,
% 24.86/16.23 (~(constB71 = sK0_VarCurr)),
% 24.86/16.23 inference(unit_resolution,[status(thm)],[8326, 5])).
% 24.86/16.24 tff(8328,assumption,(constB143 = sK0_VarCurr), introduced(assumption)).
% 24.86/16.24 tff(8329,plain,
% 24.86/16.24 (v84(constB143, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8328])).
% 24.86/16.24 tff(8330,plain,
% 24.86/16.24 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB143, bitIndex2)),
% 24.86/16.24 inference(symmetry,[status(thm)],[8329])).
% 24.86/16.24 tff(8331,plain,
% 24.86/16.24 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB143, bitIndex2))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8330])).
% 24.86/16.24 tff(8332,plain,
% 24.86/16.24 (~v84(constB143, bitIndex2)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[5, 8331])).
% 24.86/16.24 tff(8333,assumption,(v26(constB137)), introduced(assumption)).
% 24.86/16.24 tff(8334,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB137))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8335,plain,
% 24.86/16.24 ($false),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8334, 18, 8333])).
% 24.86/16.24 tff(8336,plain,(~v26(constB137)), inference(lemma,lemma(discharge,[]))).
% 24.86/16.24 tff(8337,assumption,(v26(constB135)), introduced(assumption)).
% 24.86/16.24 tff(8338,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB135))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8339,plain,
% 24.86/16.24 ($false),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8338, 18, 8337])).
% 24.86/16.24 tff(8340,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 24.86/16.24 tff(8341,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB69)) | (~v124(constB69, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB69)) | (~v124(constB69, bitIndex1)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8342,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB69)) | (~v124(constB69, bitIndex1)))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8343,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB69)) | (~v124(constB69, bitIndex1))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8342, 8341])).
% 24.86/16.24 tff(8344,plain,
% 24.86/16.24 (~v124(constB69, bitIndex1)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8343, 1595, 8196])).
% 24.86/16.24 tff(8345,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8346,plain,
% 24.86/16.24 ((v26(constB69) | v124(constB69, bitIndex1) | (~v121(constB69, bitIndex1))) <=> ((~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8347,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB69) | v124(constB69, bitIndex1) | (~v121(constB69, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1)))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8346])).
% 24.86/16.24 tff(8348,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB69) | v124(constB69, bitIndex1) | (~v121(constB69, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8347, 8345])).
% 24.86/16.24 tff(8349,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB69) | v124(constB69, bitIndex1) | (~v121(constB69, bitIndex1)))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8350,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB69, bitIndex1)) | v26(constB69) | v124(constB69, bitIndex1)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8349, 8348])).
% 24.86/16.24 tff(8351,plain,
% 24.86/16.24 ((~v121(constB69, bitIndex1)) | v124(constB69, bitIndex1)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8350, 476, 8279])).
% 24.86/16.24 tff(8352,plain,
% 24.86/16.24 (~v121(constB69, bitIndex1)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8351, 8344])).
% 24.86/16.24 tff(8353,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8354,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB69, constB70)) | v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1)))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8355,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB69, constB70)) | v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8354, 8353])).
% 24.86/16.24 tff(8356,plain,
% 24.86/16.24 (v121(constB69, bitIndex1) | (~v123(constB70, bitIndex1))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8355, 494, 8237])).
% 24.86/16.24 tff(8357,plain,
% 24.86/16.24 (~v123(constB70, bitIndex1)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8356, 8352])).
% 24.86/16.24 tff(8358,plain,
% 24.86/16.24 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8359,plain,
% 24.86/16.24 (((~v84(constB70, bitIndex1)) | (~v94(constB70)) | v123(constB70, bitIndex1)) <=> ((~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8360,plain,
% 24.86/16.24 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~v94(constB70)) | v123(constB70, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70))))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8359])).
% 24.86/16.24 tff(8361,plain,
% 24.86/16.24 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~v94(constB70)) | v123(constB70, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70)))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8360, 8358])).
% 24.86/16.24 tff(8362,plain,
% 24.86/16.24 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB70, bitIndex1)) | (~v94(constB70)) | v123(constB70, bitIndex1))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8363,plain,
% 24.86/16.24 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1) | (~v94(constB70))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8362, 8361])).
% 24.86/16.24 tff(8364,plain,
% 24.86/16.24 ((~v84(constB70, bitIndex1)) | (~v94(constB70))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8363, 509, 8357])).
% 24.86/16.24 tff(8365,plain,
% 24.86/16.24 (~v84(constB70, bitIndex1)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8364, 8271])).
% 24.86/16.24 tff(8366,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8367,plain,
% 24.86/16.24 (((~nextState(constB70, constB71)) | v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1))) <=> (v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8368,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1))))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8367])).
% 24.86/16.24 tff(8369,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1)))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8368, 8366])).
% 24.86/16.24 tff(8370,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB70, constB71)) | v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1)))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8371,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB70, bitIndex1) | (~nextState(constB70, constB71)) | v94(constB71) | (~v84(constB71, bitIndex1))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 24.86/16.24 tff(8372,plain,
% 24.86/16.24 (v84(constB70, bitIndex1) | v94(constB71) | (~v84(constB71, bitIndex1))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8371, 126, 8303])).
% 24.86/16.24 tff(8373,plain,
% 24.86/16.24 (v84(constB70, bitIndex1) | (~v84(constB71, bitIndex1))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8372, 8315])).
% 24.86/16.24 tff(8374,plain,
% 24.86/16.24 (~v84(constB71, bitIndex1)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8373, 8365])).
% 24.86/16.24 tff(8375,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB69)) | v124(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB69)) | v124(constB69, bitIndex0))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8376,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB69)) | v124(constB69, bitIndex0))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8377,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB69)) | v124(constB69, bitIndex0)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8376, 8375])).
% 24.86/16.24 tff(8378,plain,
% 24.86/16.24 (v124(constB69, bitIndex0)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8377, 1636, 8196])).
% 24.86/16.24 tff(8379,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8380,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8381,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB69) | (~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8380, 8379])).
% 24.86/16.24 tff(8382,plain,
% 24.86/16.24 ((~v124(constB69, bitIndex0)) | v121(constB69, bitIndex0)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8381, 547, 8279])).
% 24.86/16.24 tff(8383,plain,
% 24.86/16.24 (v121(constB69, bitIndex0)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8382, 8378])).
% 24.86/16.24 tff(8384,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8385,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8386,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB69, constB70)) | (~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8385, 8384])).
% 24.86/16.24 tff(8387,plain,
% 24.86/16.24 ((~v121(constB69, bitIndex0)) | v123(constB70, bitIndex0)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8386, 562, 8237])).
% 24.86/16.24 tff(8388,plain,
% 24.86/16.24 (v123(constB70, bitIndex0)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8387, 8383])).
% 24.86/16.24 tff(8389,plain,
% 24.86/16.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8390,plain,
% 24.86/16.24 ((v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0))) <=> (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8391,plain,
% 24.86/16.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70))))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8390])).
% 24.86/16.24 tff(8392,plain,
% 24.86/16.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70)))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8391, 8389])).
% 24.86/16.24 tff(8393,plain,
% 24.86/16.24 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB70, bitIndex0) | (~v94(constB70)) | (~v123(constB70, bitIndex0)))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8394,plain,
% 24.86/16.24 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)) | (~v94(constB70))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 24.86/16.24 tff(8395,plain,
% 24.86/16.24 (v84(constB70, bitIndex0) | (~v94(constB70))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8394, 577, 8388])).
% 24.86/16.24 tff(8396,plain,
% 24.86/16.24 (v84(constB70, bitIndex0)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8395, 8271])).
% 24.86/16.24 tff(8397,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8398,plain,
% 24.86/16.24 (((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0)) <=> ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8399,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0)))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8398])).
% 24.86/16.24 tff(8400,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8399, 8397])).
% 24.86/16.24 tff(8401,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB70, constB71)) | (~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8402,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB70, bitIndex0)) | (~nextState(constB70, constB71)) | v94(constB71) | v84(constB71, bitIndex0)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8401, 8400])).
% 24.86/16.24 tff(8403,plain,
% 24.86/16.24 ((~v84(constB70, bitIndex0)) | v94(constB71) | v84(constB71, bitIndex0)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8402, 595, 8303])).
% 24.86/16.24 tff(8404,plain,
% 24.86/16.24 ((~v84(constB70, bitIndex0)) | v84(constB71, bitIndex0)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8403, 8315])).
% 24.86/16.24 tff(8405,plain,
% 24.86/16.24 (v84(constB71, bitIndex0)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8404, 8396])).
% 24.86/16.24 tff(8406,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8407,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8408,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8407, 8406])).
% 24.86/16.24 tff(8409,plain,
% 24.86/16.24 (v118(constB71)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8408, 1677, 8405, 8374, 8324])).
% 24.86/16.24 tff(8410,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB71)) | v108(constB71))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB71)) | v108(constB71))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8411,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB71)) | v108(constB71))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8412,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB71)) | v108(constB71)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8411, 8410])).
% 24.86/16.24 tff(8413,plain,
% 24.86/16.24 (v108(constB71)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8412, 1688, 8409])).
% 24.86/16.24 tff(8414,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB71) | (~v108(constB71)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB71) | (~v108(constB71)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8415,plain,
% 24.86/16.24 (((~v108(constB71)) | v107(constB71)) <=> (v107(constB71) | (~v108(constB71)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8416,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB71)) | v107(constB71))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB71) | (~v108(constB71))))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8415])).
% 24.86/16.24 tff(8417,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB71)) | v107(constB71))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB71) | (~v108(constB71)))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8416, 8414])).
% 24.86/16.24 tff(8418,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB71)) | v107(constB71))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8419,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB71) | (~v108(constB71))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8418, 8417])).
% 24.86/16.24 tff(8420,plain,
% 24.86/16.24 (v107(constB71)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8419, 249, 8413])).
% 24.86/16.24 tff(8421,assumption,(v26(constB71)), introduced(assumption)).
% 24.86/16.24 tff(8422,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB71))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8423,plain,
% 24.86/16.24 ($false),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8422, 18, 8421])).
% 24.86/16.24 tff(8424,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 24.86/16.24 tff(8425,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8426,plain,
% 24.86/16.24 ((v26(constB71) | (~v107(constB71)) | v106(constB71)) <=> (v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8427,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71))))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8426])).
% 24.86/16.24 tff(8428,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8427, 8425])).
% 24.86/16.24 tff(8429,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8430,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8429, 8428])).
% 24.86/16.24 tff(8431,plain,
% 24.86/16.24 (v106(constB71) | (~v107(constB71))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8430, 263, 8424])).
% 24.86/16.24 tff(8432,plain,
% 24.86/16.24 (v106(constB71)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8431, 8420])).
% 24.86/16.24 tff(8433,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB71) | (~v106(constB71)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB71) | (~v106(constB71)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8434,plain,
% 24.86/16.24 (((~v106(constB71)) | v102(constB71)) <=> (v102(constB71) | (~v106(constB71)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8435,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB71)) | v102(constB71))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB71) | (~v106(constB71))))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8434])).
% 24.86/16.24 tff(8436,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB71)) | v102(constB71))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB71) | (~v106(constB71)))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8435, 8433])).
% 24.86/16.24 tff(8437,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB71)) | v102(constB71))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8438,plain,
% 24.86/16.24 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB71) | (~v106(constB71))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8437, 8436])).
% 24.86/16.24 tff(8439,plain,
% 24.86/16.24 (v102(constB71)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8438, 275, 8432])).
% 24.86/16.24 tff(8440,plain,
% 24.86/16.24 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8441,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 24.86/16.24 tff(8442,plain,
% 24.86/16.24 (nextState(constB71, constB72)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8441, 8440])).
% 24.86/16.24 tff(8443,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8444,plain,
% 24.86/16.24 (((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72)) <=> ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8445,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8444])).
% 24.86/16.24 tff(8446,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8445, 8443])).
% 24.86/16.24 tff(8447,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8448,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8447, 8446])).
% 24.86/16.24 tff(8449,plain,
% 24.86/16.24 (v104(constB72) | (~v102(constB71))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8448, 295, 8442])).
% 24.86/16.24 tff(8450,plain,
% 24.86/16.24 (v104(constB72)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8449, 8439])).
% 24.86/16.24 tff(8451,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8452,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8453,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8452, 8451])).
% 24.86/16.24 tff(8454,plain,
% 24.86/16.24 (~v98(constB72)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8453, 313, 8442, 8300])).
% 24.86/16.24 tff(8455,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8456,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8457,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8456, 8455])).
% 24.86/16.24 tff(8458,plain,
% 24.86/16.24 (v96(constB72) | v98(constB72)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8457, 327, 8442])).
% 24.86/16.24 tff(8459,plain,
% 24.86/16.24 (v96(constB72)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8458, 8454])).
% 24.86/16.24 tff(8460,plain,
% 24.86/16.24 (v1(constB72) <=> v1(constB72)),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8461,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 24.86/16.24 tff(8462,plain,
% 24.86/16.24 (v1(constB72)),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 24.86/16.24 tff(8463,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8464,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8465,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8464, 8463])).
% 24.86/16.24 tff(8466,plain,
% 24.86/16.24 (v95(constB72) | (~v96(constB72))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8465, 345, 8442, 8462])).
% 24.86/16.24 tff(8467,plain,
% 24.86/16.24 (v95(constB72)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8466, 8459])).
% 24.86/16.24 tff(8468,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8469,plain,
% 24.86/16.24 (((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72)) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 24.86/16.24 inference(rewrite,[status(thm)],[])).
% 24.86/16.24 tff(8470,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72))))),
% 24.86/16.24 inference(monotonicity,[status(thm)],[8469])).
% 24.86/16.24 tff(8471,plain,
% 24.86/16.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72)))),
% 24.86/16.24 inference(transitivity,[status(thm)],[8470, 8468])).
% 24.86/16.24 tff(8472,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))),
% 24.86/16.24 inference(quant_inst,[status(thm)],[])).
% 24.86/16.24 tff(8473,plain,
% 24.86/16.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | v94(constB72) | (~v95(constB72)) | (~v104(constB72))),
% 24.86/16.24 inference(modus_ponens,[status(thm)],[8472, 8471])).
% 24.86/16.24 tff(8474,plain,
% 24.86/16.24 (v94(constB72) | (~v95(constB72)) | (~v104(constB72))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8473, 360, 8442])).
% 24.86/16.24 tff(8475,plain,
% 24.86/16.24 (v94(constB72) | (~v104(constB72))),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8474, 8467])).
% 24.86/16.24 tff(8476,plain,
% 24.86/16.24 (v94(constB72)),
% 24.86/16.24 inference(unit_resolution,[status(thm)],[8475, 8450])).
% 24.86/16.24 tff(8477,plain,
% 24.86/16.24 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB71)) | v124(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB71)) | v124(constB71, bitIndex2))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8478,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB71)) | v124(constB71, bitIndex2))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8479,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB71)) | v124(constB71, bitIndex2)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8478, 8477])).
% 24.86/16.25 tff(8480,plain,
% 24.86/16.25 (v124(constB71, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8479, 1761, 8409])).
% 24.86/16.25 tff(8481,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8482,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8483,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB71) | (~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 24.86/16.25 tff(8484,plain,
% 24.86/16.25 ((~v124(constB71, bitIndex2)) | v121(constB71, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8483, 1287, 8424])).
% 24.86/16.25 tff(8485,plain,
% 24.86/16.25 (v121(constB71, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8484, 8480])).
% 24.86/16.25 tff(8486,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8487,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8488,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 24.86/16.25 tff(8489,plain,
% 24.86/16.25 ((~v121(constB71, bitIndex2)) | v123(constB72, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8488, 1302, 8442])).
% 24.86/16.25 tff(8490,plain,
% 24.86/16.25 (v123(constB72, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8489, 8485])).
% 24.86/16.25 tff(8491,plain,
% 24.86/16.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8492,plain,
% 24.86/16.25 ((v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2))) <=> (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8493,plain,
% 24.86/16.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72))))),
% 24.86/16.25 inference(monotonicity,[status(thm)],[8492])).
% 24.86/16.25 tff(8494,plain,
% 24.86/16.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72)))),
% 24.86/16.25 inference(transitivity,[status(thm)],[8493, 8491])).
% 24.86/16.25 tff(8495,plain,
% 24.86/16.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB72, bitIndex2) | (~v94(constB72)) | (~v123(constB72, bitIndex2)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8496,plain,
% 24.86/16.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2)) | (~v94(constB72))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 24.86/16.25 tff(8497,plain,
% 24.86/16.25 (v84(constB72, bitIndex2) | (~v94(constB72))),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8496, 1317, 8490])).
% 24.86/16.25 tff(8498,plain,
% 24.86/16.25 (v84(constB72, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8497, 8476])).
% 24.86/16.25 tff(8499,plain,
% 24.86/16.25 ((~v1(constB73)) <=> (~v1(constB73))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8500,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 24.86/16.25 tff(8501,plain,
% 24.86/16.25 (~v1(constB73)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8500, 8499])).
% 24.86/16.25 tff(8502,plain,
% 24.86/16.25 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8503,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 24.86/16.25 tff(8504,plain,
% 24.86/16.25 (nextState(constB72, constB73)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 24.86/16.25 tff(8505,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8506,plain,
% 24.86/16.25 (((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8507,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))))),
% 24.86/16.25 inference(monotonicity,[status(thm)],[8506])).
% 24.86/16.25 tff(8508,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 24.86/16.25 inference(transitivity,[status(thm)],[8507, 8505])).
% 24.86/16.25 tff(8509,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8510,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 24.86/16.25 tff(8511,plain,
% 24.86/16.25 (~v95(constB73)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8510, 73, 8504, 8501])).
% 24.86/16.25 tff(8512,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8513,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8514,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8513, 8512])).
% 24.86/16.25 tff(8515,plain,
% 24.86/16.25 (v95(constB73) | (~v94(constB73))),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8514, 90, 8504])).
% 24.86/16.25 tff(8516,plain,
% 24.86/16.25 (~v94(constB73)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8515, 8511])).
% 24.86/16.25 tff(8517,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8518,plain,
% 24.86/16.25 (((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2)) <=> ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8519,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2)))),
% 24.86/16.25 inference(monotonicity,[status(thm)],[8518])).
% 24.86/16.25 tff(8520,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2))),
% 24.86/16.25 inference(transitivity,[status(thm)],[8519, 8517])).
% 24.86/16.25 tff(8521,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8522,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB72, bitIndex2)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex2)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8521, 8520])).
% 24.86/16.25 tff(8523,plain,
% 24.86/16.25 ((~v84(constB72, bitIndex2)) | v94(constB73) | v84(constB73, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8522, 1353, 8504])).
% 24.86/16.25 tff(8524,plain,
% 24.86/16.25 ((~v84(constB72, bitIndex2)) | v84(constB73, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8523, 8516])).
% 24.86/16.25 tff(8525,plain,
% 24.86/16.25 (v84(constB73, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8524, 8498])).
% 24.86/16.25 tff(8526,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB73)) | (~v84(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB73)) | (~v84(constB73, bitIndex2)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8527,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB73)) | (~v84(constB73, bitIndex2)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8528,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB73)) | (~v84(constB73, bitIndex2))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8527, 8526])).
% 24.86/16.25 tff(8529,plain,
% 24.86/16.25 (~v116(constB73)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8528, 1985, 8525])).
% 24.86/16.25 tff(8530,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB73)) | (~v84(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB73)) | (~v84(constB73, bitIndex2)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8531,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB73)) | (~v84(constB73, bitIndex2)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8532,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB73)) | (~v84(constB73, bitIndex2))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8531, 8530])).
% 24.86/16.25 tff(8533,plain,
% 24.86/16.25 (~v115(constB73)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8532, 1974, 8525])).
% 24.86/16.25 tff(8534,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB71)) | v124(constB71, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB71)) | v124(constB71, bitIndex1))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8535,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB71)) | v124(constB71, bitIndex1))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8536,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB71)) | v124(constB71, bitIndex1)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8535, 8534])).
% 24.86/16.25 tff(8537,plain,
% 24.86/16.25 (v124(constB71, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8536, 1817, 8409])).
% 24.86/16.25 tff(8538,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB71) | (~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB71) | (~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8539,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB71) | (~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8540,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB71) | (~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8539, 8538])).
% 24.86/16.25 tff(8541,plain,
% 24.86/16.25 ((~v124(constB71, bitIndex1)) | v121(constB71, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8540, 812, 8424])).
% 24.86/16.25 tff(8542,plain,
% 24.86/16.25 (v121(constB71, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8541, 8537])).
% 24.86/16.25 tff(8543,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8544,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB71, constB72)) | (~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8545,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB71, constB72)) | (~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 24.86/16.25 tff(8546,plain,
% 24.86/16.25 ((~v121(constB71, bitIndex1)) | v123(constB72, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8545, 827, 8442])).
% 24.86/16.25 tff(8547,plain,
% 24.86/16.25 (v123(constB72, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8546, 8542])).
% 24.86/16.25 tff(8548,plain,
% 24.86/16.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8549,plain,
% 24.86/16.25 ((v84(constB72, bitIndex1) | (~v94(constB72)) | (~v123(constB72, bitIndex1))) <=> (v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8550,plain,
% 24.86/16.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v94(constB72)) | (~v123(constB72, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72))))),
% 24.86/16.25 inference(monotonicity,[status(thm)],[8549])).
% 24.86/16.25 tff(8551,plain,
% 24.86/16.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v94(constB72)) | (~v123(constB72, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72)))),
% 24.86/16.25 inference(transitivity,[status(thm)],[8550, 8548])).
% 24.86/16.25 tff(8552,plain,
% 24.86/16.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB72, bitIndex1) | (~v94(constB72)) | (~v123(constB72, bitIndex1)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8553,plain,
% 24.86/16.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1)) | (~v94(constB72))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8552, 8551])).
% 24.86/16.25 tff(8554,plain,
% 24.86/16.25 (v84(constB72, bitIndex1) | (~v94(constB72))),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8553, 842, 8547])).
% 24.86/16.25 tff(8555,plain,
% 24.86/16.25 (v84(constB72, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8554, 8476])).
% 24.86/16.25 tff(8556,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8557,plain,
% 24.86/16.25 (((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1)) <=> ((~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8558,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1)))),
% 24.86/16.25 inference(monotonicity,[status(thm)],[8557])).
% 24.86/16.25 tff(8559,plain,
% 24.86/16.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1))),
% 24.86/16.25 inference(transitivity,[status(thm)],[8558, 8556])).
% 24.86/16.25 tff(8560,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB72, constB73)) | (~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8561,plain,
% 24.86/16.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB72, bitIndex1)) | (~nextState(constB72, constB73)) | v94(constB73) | v84(constB73, bitIndex1)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8560, 8559])).
% 24.86/16.25 tff(8562,plain,
% 24.86/16.25 ((~v84(constB72, bitIndex1)) | v94(constB73) | v84(constB73, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8561, 860, 8504])).
% 24.86/16.25 tff(8563,plain,
% 24.86/16.25 ((~v84(constB72, bitIndex1)) | v84(constB73, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8562, 8516])).
% 24.86/16.25 tff(8564,plain,
% 24.86/16.25 (v84(constB73, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8563, 8555])).
% 24.86/16.25 tff(8565,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB73)) | (~v84(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB73)) | (~v84(constB73, bitIndex1)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8566,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB73)) | (~v84(constB73, bitIndex1)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8567,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB73)) | (~v84(constB73, bitIndex1))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8566, 8565])).
% 24.86/16.25 tff(8568,plain,
% 24.86/16.25 (~v118(constB73)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8567, 2007, 8564])).
% 24.86/16.25 tff(8569,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB73)) | (~v84(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB73)) | (~v84(constB73, bitIndex1)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8570,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB73)) | (~v84(constB73, bitIndex1)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8571,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB73)) | (~v84(constB73, bitIndex1))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 24.86/16.25 tff(8572,plain,
% 24.86/16.25 (~v145(constB73)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8571, 2018, 8564])).
% 24.86/16.25 tff(8573,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB73)) | (~v84(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB73)) | (~v84(constB73, bitIndex1)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8574,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB73)) | (~v84(constB73, bitIndex1)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8575,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB73)) | (~v84(constB73, bitIndex1))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 24.86/16.25 tff(8576,plain,
% 24.86/16.25 (~v172(constB73)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8575, 2029, 8564])).
% 24.86/16.25 tff(8577,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB73)) | (~v84(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB73)) | (~v84(constB73, bitIndex1)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8578,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB73)) | (~v84(constB73, bitIndex1)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8579,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB73)) | (~v84(constB73, bitIndex1))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 24.86/16.25 tff(8580,plain,
% 24.86/16.25 (~v113(constB73)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8579, 1996, 8564])).
% 24.86/16.25 tff(8581,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8582,plain,
% 24.86/16.25 ((v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0)) <=> (v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8583,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73)))),
% 24.86/16.25 inference(monotonicity,[status(thm)],[8582])).
% 24.86/16.25 tff(8584,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 24.86/16.25 inference(transitivity,[status(thm)],[8583, 8581])).
% 24.86/16.25 tff(8585,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | v124(constB73, bitIndex0))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8586,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB73, bitIndex0) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 24.86/16.25 tff(8587,plain,
% 24.86/16.25 (v124(constB73, bitIndex0)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8586, 2152, 8580, 8576, 8572, 8568, 8533, 8529])).
% 24.86/16.25 tff(8588,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB73, bitIndex2)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB73, bitIndex2)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8589,plain,
% 24.86/16.25 ((v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex2))) <=> ((~v124(constB73, bitIndex2)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8590,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB73, bitIndex2)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73)))),
% 24.86/16.25 inference(monotonicity,[status(thm)],[8589])).
% 24.86/16.25 tff(8591,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB73, bitIndex2)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 24.86/16.25 inference(transitivity,[status(thm)],[8590, 8588])).
% 24.86/16.25 tff(8592,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex2)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8593,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB73, bitIndex2)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8592, 8591])).
% 24.86/16.25 tff(8594,plain,
% 24.86/16.25 (~v124(constB73, bitIndex2)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8593, 2043, 8580, 8576, 8572, 8568, 8533, 8529])).
% 24.86/16.25 tff(8595,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB73, bitIndex1)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB73, bitIndex1)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8596,plain,
% 24.86/16.25 ((v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex1))) <=> ((~v124(constB73, bitIndex1)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8597,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB73, bitIndex1)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73)))),
% 24.86/16.25 inference(monotonicity,[status(thm)],[8596])).
% 24.86/16.25 tff(8598,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB73, bitIndex1)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73))),
% 24.86/16.25 inference(transitivity,[status(thm)],[8597, 8595])).
% 24.86/16.25 tff(8599,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~v124(constB73, bitIndex1)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8600,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB73, bitIndex1)) | v172(constB73) | v145(constB73) | v118(constB73) | v116(constB73) | v115(constB73) | v113(constB73)),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8599, 8598])).
% 24.86/16.25 tff(8601,plain,
% 24.86/16.25 (~v124(constB73, bitIndex1)),
% 24.86/16.25 inference(unit_resolution,[status(thm)],[8600, 2105, 8580, 8576, 8572, 8568, 8533, 8529])).
% 24.86/16.25 tff(8602,plain,
% 24.86/16.25 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB71)) | (~v124(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB71)) | (~v124(constB71, bitIndex0)))),
% 24.86/16.25 inference(rewrite,[status(thm)],[])).
% 24.86/16.25 tff(8603,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB71)) | (~v124(constB71, bitIndex0)))),
% 24.86/16.25 inference(quant_inst,[status(thm)],[])).
% 24.86/16.25 tff(8604,plain,
% 24.86/16.25 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB71)) | (~v124(constB71, bitIndex0))),
% 24.86/16.25 inference(modus_ponens,[status(thm)],[8603, 8602])).
% 24.86/16.25 tff(8605,plain,
% 24.86/16.25 (~v124(constB71, bitIndex0)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8604, 1855, 8409])).
% 24.86/16.26 tff(8606,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8607,plain,
% 24.86/16.26 ((v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0))) <=> ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8608,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0)))),
% 24.86/16.26 inference(monotonicity,[status(thm)],[8607])).
% 24.86/16.26 tff(8609,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0))),
% 24.86/16.26 inference(transitivity,[status(thm)],[8608, 8606])).
% 24.86/16.26 tff(8610,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB71) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8611,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB71, bitIndex0)) | v26(constB71) | v124(constB71, bitIndex0)),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8610, 8609])).
% 24.86/16.26 tff(8612,plain,
% 24.86/16.26 ((~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8611, 890, 8424])).
% 24.86/16.26 tff(8613,plain,
% 24.86/16.26 (~v121(constB71, bitIndex0)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8612, 8605])).
% 24.86/16.26 tff(8614,plain,
% 24.86/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8615,plain,
% 24.86/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0)))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8616,plain,
% 24.86/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB71, constB72)) | v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0))),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8615, 8614])).
% 24.86/16.26 tff(8617,plain,
% 24.86/16.26 (v121(constB71, bitIndex0) | (~v123(constB72, bitIndex0))),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8616, 908, 8442])).
% 24.86/16.26 tff(8618,plain,
% 24.86/16.26 (~v123(constB72, bitIndex0)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8617, 8613])).
% 24.86/16.26 tff(8619,plain,
% 24.86/16.26 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8620,plain,
% 24.86/16.26 (((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0)) <=> ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8621,plain,
% 24.86/16.26 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72))))),
% 24.86/16.26 inference(monotonicity,[status(thm)],[8620])).
% 24.86/16.26 tff(8622,plain,
% 24.86/16.26 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72)))),
% 24.86/16.26 inference(transitivity,[status(thm)],[8621, 8619])).
% 24.86/16.26 tff(8623,plain,
% 24.86/16.26 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB72, bitIndex0)) | (~v94(constB72)) | v123(constB72, bitIndex0))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8624,plain,
% 24.86/16.26 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0) | (~v94(constB72))),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8623, 8622])).
% 24.86/16.26 tff(8625,plain,
% 24.86/16.26 ((~v84(constB72, bitIndex0)) | (~v94(constB72))),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8624, 923, 8618])).
% 24.86/16.26 tff(8626,plain,
% 24.86/16.26 (~v84(constB72, bitIndex0)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8625, 8476])).
% 24.86/16.26 tff(8627,plain,
% 24.86/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8628,plain,
% 24.86/16.26 (((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0))) <=> (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8629,plain,
% 24.86/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0))))),
% 24.86/16.26 inference(monotonicity,[status(thm)],[8628])).
% 24.86/16.26 tff(8630,plain,
% 24.86/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 24.86/16.26 inference(transitivity,[status(thm)],[8629, 8627])).
% 24.86/16.26 tff(8631,plain,
% 24.86/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB72, constB73)) | v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0)))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8632,plain,
% 24.86/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB72, bitIndex0) | (~nextState(constB72, constB73)) | v94(constB73) | (~v84(constB73, bitIndex0))),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8631, 8630])).
% 24.86/16.26 tff(8633,plain,
% 24.86/16.26 (v84(constB72, bitIndex0) | v94(constB73) | (~v84(constB73, bitIndex0))),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8632, 147, 8504])).
% 24.86/16.26 tff(8634,plain,
% 24.86/16.26 (v84(constB72, bitIndex0) | (~v84(constB73, bitIndex0))),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8633, 8516])).
% 24.86/16.26 tff(8635,plain,
% 24.86/16.26 (~v84(constB73, bitIndex0)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8634, 8626])).
% 24.86/16.26 tff(8636,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8637,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8638,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73)),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8637, 8636])).
% 24.86/16.26 tff(8639,plain,
% 24.86/16.26 (v119(constB73)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8638, 1899, 8635, 8564, 8525])).
% 24.86/16.26 tff(8640,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB73) | (~v119(constB73)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB73) | (~v119(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8641,plain,
% 24.86/16.26 (((~v119(constB73)) | v107(constB73)) <=> (v107(constB73) | (~v119(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8642,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB73)) | v107(constB73))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB73) | (~v119(constB73))))),
% 24.86/16.26 inference(monotonicity,[status(thm)],[8641])).
% 24.86/16.26 tff(8643,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB73)) | v107(constB73))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB73) | (~v119(constB73)))),
% 24.86/16.26 inference(transitivity,[status(thm)],[8642, 8640])).
% 24.86/16.26 tff(8644,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB73)) | v107(constB73))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8645,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB73) | (~v119(constB73))),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8644, 8643])).
% 24.86/16.26 tff(8646,plain,
% 24.86/16.26 (v107(constB73)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8645, 1910, 8639])).
% 24.86/16.26 tff(8647,assumption,(~v102(constB73)), introduced(assumption)).
% 24.86/16.26 tff(8648,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB73) | (~v106(constB73)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v106(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8649,plain,
% 24.86/16.26 (((~v106(constB73)) | v102(constB73)) <=> (v102(constB73) | (~v106(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8650,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB73)) | v102(constB73))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB73) | (~v106(constB73))))),
% 24.86/16.26 inference(monotonicity,[status(thm)],[8649])).
% 24.86/16.26 tff(8651,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB73)) | v102(constB73))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v106(constB73)))),
% 24.86/16.26 inference(transitivity,[status(thm)],[8650, 8648])).
% 24.86/16.26 tff(8652,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB73)) | v102(constB73))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8653,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v106(constB73))),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8652, 8651])).
% 24.86/16.26 tff(8654,plain,
% 24.86/16.26 (~v106(constB73)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8653, 275, 8647])).
% 24.86/16.26 tff(8655,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB73) | (~v26(constB73)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v26(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8656,plain,
% 24.86/16.26 (((~v26(constB73)) | v102(constB73)) <=> (v102(constB73) | (~v26(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8657,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB73)) | v102(constB73))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB73) | (~v26(constB73))))),
% 24.86/16.26 inference(monotonicity,[status(thm)],[8656])).
% 24.86/16.26 tff(8658,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB73)) | v102(constB73))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v26(constB73)))),
% 24.86/16.26 inference(transitivity,[status(thm)],[8657, 8655])).
% 24.86/16.26 tff(8659,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB73)) | v102(constB73))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8660,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB73) | (~v26(constB73))),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 24.86/16.26 tff(8661,plain,
% 24.86/16.26 (~v26(constB73)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8660, 660, 8647])).
% 24.86/16.26 tff(8662,assumption,(v107(constB73)), introduced(assumption)).
% 24.86/16.26 tff(8663,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8664,plain,
% 24.86/16.26 ((v26(constB73) | (~v107(constB73)) | v106(constB73)) <=> (v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8665,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73))))),
% 24.86/16.26 inference(monotonicity,[status(thm)],[8664])).
% 24.86/16.26 tff(8666,plain,
% 24.86/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 24.86/16.26 inference(transitivity,[status(thm)],[8665, 8663])).
% 24.86/16.26 tff(8667,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8668,plain,
% 24.86/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73))),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8667, 8666])).
% 24.86/16.26 tff(8669,plain,
% 24.86/16.26 (v26(constB73) | v106(constB73)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8668, 263, 8662])).
% 24.86/16.26 tff(8670,plain,
% 24.86/16.26 ($false),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8669, 8661, 8654])).
% 24.86/16.26 tff(8671,plain,(v102(constB73) | (~v107(constB73))), inference(lemma,lemma(discharge,[]))).
% 24.86/16.26 tff(8672,plain,
% 24.86/16.26 (v102(constB73)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8671, 8646])).
% 24.86/16.26 tff(8673,plain,
% 24.86/16.26 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8674,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 24.86/16.26 tff(8675,plain,
% 24.86/16.26 (nextState(constB73, constB74)),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 24.86/16.26 tff(8676,plain,
% 24.86/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8677,plain,
% 24.86/16.26 (((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74)) <=> ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8678,plain,
% 24.86/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))))),
% 24.86/16.26 inference(monotonicity,[status(thm)],[8677])).
% 24.86/16.26 tff(8679,plain,
% 24.86/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 24.86/16.26 inference(transitivity,[status(thm)],[8678, 8676])).
% 24.86/16.26 tff(8680,plain,
% 24.86/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8681,plain,
% 24.86/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))),
% 24.86/16.26 inference(modus_ponens,[status(thm)],[8680, 8679])).
% 24.86/16.26 tff(8682,plain,
% 24.86/16.26 (v104(constB74) | (~v102(constB73))),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8681, 295, 8675])).
% 24.86/16.26 tff(8683,plain,
% 24.86/16.26 (v104(constB74)),
% 24.86/16.26 inference(unit_resolution,[status(thm)],[8682, 8672])).
% 24.86/16.26 tff(8684,plain,
% 24.86/16.26 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 24.86/16.26 inference(rewrite,[status(thm)],[])).
% 24.86/16.26 tff(8685,plain,
% 24.86/16.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 24.86/16.26 inference(quant_inst,[status(thm)],[])).
% 24.86/16.26 tff(8686,plain,
% 24.86/16.26 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74))),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 24.95/16.26 tff(8687,plain,
% 24.95/16.26 (~v98(constB74)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8686, 313, 8675, 8501])).
% 24.95/16.26 tff(8688,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8689,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8690,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74)),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8689, 8688])).
% 24.95/16.26 tff(8691,plain,
% 24.95/16.26 (v96(constB74) | v98(constB74)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8690, 327, 8675])).
% 24.95/16.26 tff(8692,plain,
% 24.95/16.26 (v96(constB74)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8691, 8687])).
% 24.95/16.26 tff(8693,plain,
% 24.95/16.26 (v1(constB74) <=> v1(constB74)),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8694,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 24.95/16.26 tff(8695,plain,
% 24.95/16.26 (v1(constB74)),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 24.95/16.26 tff(8696,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8697,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8698,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74))),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8697, 8696])).
% 24.95/16.26 tff(8699,plain,
% 24.95/16.26 (v95(constB74) | (~v96(constB74))),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8698, 345, 8675, 8695])).
% 24.95/16.26 tff(8700,plain,
% 24.95/16.26 (v95(constB74)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8699, 8692])).
% 24.95/16.26 tff(8701,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8702,plain,
% 24.95/16.26 (((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74)) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8703,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74))))),
% 24.95/16.26 inference(monotonicity,[status(thm)],[8702])).
% 24.95/16.26 tff(8704,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74)))),
% 24.95/16.26 inference(transitivity,[status(thm)],[8703, 8701])).
% 24.95/16.26 tff(8705,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8706,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | v94(constB74) | (~v95(constB74)) | (~v104(constB74))),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8705, 8704])).
% 24.95/16.26 tff(8707,plain,
% 24.95/16.26 (v94(constB74) | (~v95(constB74)) | (~v104(constB74))),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8706, 360, 8675])).
% 24.95/16.26 tff(8708,plain,
% 24.95/16.26 (v94(constB74) | (~v104(constB74))),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8707, 8700])).
% 24.95/16.26 tff(8709,plain,
% 24.95/16.26 (v94(constB74)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8708, 8683])).
% 24.95/16.26 tff(8710,assumption,(v26(constB73)), introduced(assumption)).
% 24.95/16.26 tff(8711,plain,
% 24.95/16.26 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB73))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8712,plain,
% 24.95/16.26 ($false),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8711, 18, 8710])).
% 24.95/16.26 tff(8713,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 24.95/16.26 tff(8714,assumption,(~v26(constB73)), introduced(assumption)).
% 24.95/16.26 tff(8715,assumption,(~v124(constB73, bitIndex2)), introduced(assumption)).
% 24.95/16.26 tff(8716,plain,
% 24.95/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8717,plain,
% 24.95/16.26 ((v26(constB73) | v124(constB73, bitIndex2) | (~v121(constB73, bitIndex2))) <=> ((~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8718,plain,
% 24.95/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB73) | v124(constB73, bitIndex2) | (~v121(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2)))),
% 24.95/16.26 inference(monotonicity,[status(thm)],[8717])).
% 24.95/16.26 tff(8719,plain,
% 24.95/16.26 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB73) | v124(constB73, bitIndex2) | (~v121(constB73, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2))),
% 24.95/16.26 inference(transitivity,[status(thm)],[8718, 8716])).
% 24.95/16.26 tff(8720,plain,
% 24.95/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB73) | v124(constB73, bitIndex2) | (~v121(constB73, bitIndex2)))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8721,plain,
% 24.95/16.26 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB73, bitIndex2)) | v26(constB73) | v124(constB73, bitIndex2)),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 24.95/16.26 tff(8722,plain,
% 24.95/16.26 ((~v121(constB73, bitIndex2)) | v26(constB73)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8721, 390, 8715])).
% 24.95/16.26 tff(8723,plain,
% 24.95/16.26 (~v121(constB73, bitIndex2)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8722, 8714])).
% 24.95/16.26 tff(8724,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8725,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2)))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8726,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2))),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8725, 8724])).
% 24.95/16.26 tff(8727,plain,
% 24.95/16.26 (v121(constB73, bitIndex2) | (~v123(constB74, bitIndex2))),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8726, 408, 8675])).
% 24.95/16.26 tff(8728,plain,
% 24.95/16.26 (~v123(constB74, bitIndex2)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8727, 8723])).
% 24.95/16.26 tff(8729,assumption,(v94(constB74)), introduced(assumption)).
% 24.95/16.26 tff(8730,plain,
% 24.95/16.26 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8731,plain,
% 24.95/16.26 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74)))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8732,plain,
% 24.95/16.26 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2) | (~v94(constB74))),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8731, 8730])).
% 24.95/16.26 tff(8733,plain,
% 24.95/16.26 ((~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8732, 423, 8729])).
% 24.95/16.26 tff(8734,plain,
% 24.95/16.26 (~v84(constB74, bitIndex2)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8733, 8728])).
% 24.95/16.26 tff(8735,plain,
% 24.95/16.26 ((~v1(constB75)) <=> (~v1(constB75))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8736,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 24.95/16.26 tff(8737,plain,
% 24.95/16.26 (~v1(constB75)),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8736, 8735])).
% 24.95/16.26 tff(8738,plain,
% 24.95/16.26 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8739,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 24.95/16.26 tff(8740,plain,
% 24.95/16.26 (nextState(constB74, constB75)),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8739, 8738])).
% 24.95/16.26 tff(8741,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8742,plain,
% 24.95/16.26 (((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8743,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))))),
% 24.95/16.26 inference(monotonicity,[status(thm)],[8742])).
% 24.95/16.26 tff(8744,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 24.95/16.26 inference(transitivity,[status(thm)],[8743, 8741])).
% 24.95/16.26 tff(8745,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8746,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 24.95/16.26 tff(8747,plain,
% 24.95/16.26 (~v95(constB75)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8746, 73, 8740, 8737])).
% 24.95/16.26 tff(8748,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8749,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8750,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75))),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8749, 8748])).
% 24.95/16.26 tff(8751,plain,
% 24.95/16.26 (v95(constB75) | (~v94(constB75))),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8750, 90, 8740])).
% 24.95/16.26 tff(8752,plain,
% 24.95/16.26 (~v94(constB75)),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8751, 8747])).
% 24.95/16.26 tff(8753,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8754,plain,
% 24.95/16.26 (((~nextState(constB74, constB75)) | v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2))) <=> (v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2)))),
% 24.95/16.26 inference(rewrite,[status(thm)],[])).
% 24.95/16.26 tff(8755,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2))))),
% 24.95/16.26 inference(monotonicity,[status(thm)],[8754])).
% 24.95/16.26 tff(8756,plain,
% 24.95/16.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2)))),
% 24.95/16.26 inference(transitivity,[status(thm)],[8755, 8753])).
% 24.95/16.26 tff(8757,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2)))),
% 24.95/16.26 inference(quant_inst,[status(thm)],[])).
% 24.95/16.26 tff(8758,plain,
% 24.95/16.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB74, bitIndex2) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex2))),
% 24.95/16.26 inference(modus_ponens,[status(thm)],[8757, 8756])).
% 24.95/16.26 tff(8759,plain,
% 24.95/16.26 (v84(constB74, bitIndex2) | v94(constB75) | (~v84(constB75, bitIndex2))),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8758, 105, 8740])).
% 24.95/16.26 tff(8760,plain,
% 24.95/16.26 (v84(constB74, bitIndex2) | (~v84(constB75, bitIndex2))),
% 24.95/16.26 inference(unit_resolution,[status(thm)],[8759, 8752])).
% 24.95/16.26 tff(8761,plain,
% 24.95/16.26 (~v84(constB75, bitIndex2)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8760, 8734])).
% 24.95/16.27 tff(8762,assumption,(v124(constB73, bitIndex0)), introduced(assumption)).
% 24.95/16.27 tff(8763,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8764,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8765,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB73) | (~v124(constB73, bitIndex0)) | v121(constB73, bitIndex0)),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8764, 8763])).
% 24.95/16.27 tff(8766,plain,
% 24.95/16.27 (v26(constB73) | v121(constB73, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8765, 547, 8762])).
% 24.95/16.27 tff(8767,plain,
% 24.95/16.27 (v121(constB73, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8766, 8714])).
% 24.95/16.27 tff(8768,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8769,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8770,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB73, constB74)) | (~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0)),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8769, 8768])).
% 24.95/16.27 tff(8771,plain,
% 24.95/16.27 ((~v121(constB73, bitIndex0)) | v123(constB74, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8770, 562, 8675])).
% 24.95/16.27 tff(8772,plain,
% 24.95/16.27 (v123(constB74, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8771, 8767])).
% 24.95/16.27 tff(8773,plain,
% 24.95/16.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8774,plain,
% 24.95/16.27 ((v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0))) <=> (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8775,plain,
% 24.95/16.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74))))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8774])).
% 24.95/16.27 tff(8776,plain,
% 24.95/16.27 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74)))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8775, 8773])).
% 24.95/16.27 tff(8777,plain,
% 24.95/16.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB74, bitIndex0) | (~v94(constB74)) | (~v123(constB74, bitIndex0)))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8778,plain,
% 24.95/16.27 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0)) | (~v94(constB74))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 24.95/16.27 tff(8779,plain,
% 24.95/16.27 (v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0))),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8778, 577, 8729])).
% 24.95/16.27 tff(8780,plain,
% 24.95/16.27 (v84(constB74, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8779, 8772])).
% 24.95/16.27 tff(8781,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8782,plain,
% 24.95/16.27 (((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0)) <=> ((~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8783,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0)))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8782])).
% 24.95/16.27 tff(8784,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8783, 8781])).
% 24.95/16.27 tff(8785,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB74, constB75)) | (~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8786,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB74, bitIndex0)) | (~nextState(constB74, constB75)) | v94(constB75) | v84(constB75, bitIndex0)),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8785, 8784])).
% 24.95/16.27 tff(8787,plain,
% 24.95/16.27 ((~v84(constB74, bitIndex0)) | v94(constB75) | v84(constB75, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8786, 595, 8740])).
% 24.95/16.27 tff(8788,plain,
% 24.95/16.27 ((~v84(constB74, bitIndex0)) | v84(constB75, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8787, 8752])).
% 24.95/16.27 tff(8789,plain,
% 24.95/16.27 (v84(constB75, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8788, 8780])).
% 24.95/16.27 tff(8790,assumption,(~v124(constB73, bitIndex1)), introduced(assumption)).
% 24.95/16.27 tff(8791,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8792,plain,
% 24.95/16.27 ((v26(constB73) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1))) <=> ((~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8793,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB73) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1)))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8792])).
% 24.95/16.27 tff(8794,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB73) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8793, 8791])).
% 24.95/16.27 tff(8795,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB73) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1)))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8796,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB73, bitIndex1)) | v26(constB73) | v124(constB73, bitIndex1)),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8795, 8794])).
% 24.95/16.27 tff(8797,plain,
% 24.95/16.27 ((~v121(constB73, bitIndex1)) | v26(constB73)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8796, 476, 8790])).
% 24.95/16.27 tff(8798,plain,
% 24.95/16.27 (~v121(constB73, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8797, 8714])).
% 24.95/16.27 tff(8799,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8800,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB73, constB74)) | v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1)))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8801,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB73, constB74)) | v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 24.95/16.27 tff(8802,plain,
% 24.95/16.27 (v121(constB73, bitIndex1) | (~v123(constB74, bitIndex1))),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8801, 494, 8675])).
% 24.95/16.27 tff(8803,plain,
% 24.95/16.27 (~v123(constB74, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8802, 8798])).
% 24.95/16.27 tff(8804,plain,
% 24.95/16.27 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8805,plain,
% 24.95/16.27 (((~v84(constB74, bitIndex1)) | (~v94(constB74)) | v123(constB74, bitIndex1)) <=> ((~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8806,plain,
% 24.95/16.27 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~v94(constB74)) | v123(constB74, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74))))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8805])).
% 24.95/16.27 tff(8807,plain,
% 24.95/16.27 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~v94(constB74)) | v123(constB74, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74)))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8806, 8804])).
% 24.95/16.27 tff(8808,plain,
% 24.95/16.27 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB74, bitIndex1)) | (~v94(constB74)) | v123(constB74, bitIndex1))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8809,plain,
% 24.95/16.27 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1) | (~v94(constB74))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8808, 8807])).
% 24.95/16.27 tff(8810,plain,
% 24.95/16.27 ((~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8809, 509, 8729])).
% 24.95/16.27 tff(8811,plain,
% 24.95/16.27 (~v84(constB74, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8810, 8803])).
% 24.95/16.27 tff(8812,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8813,plain,
% 24.95/16.27 (((~nextState(constB74, constB75)) | v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1))) <=> (v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8814,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1))))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8813])).
% 24.95/16.27 tff(8815,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1)))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8814, 8812])).
% 24.95/16.27 tff(8816,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB74, constB75)) | v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1)))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8817,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB74, bitIndex1) | (~nextState(constB74, constB75)) | v94(constB75) | (~v84(constB75, bitIndex1))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8816, 8815])).
% 24.95/16.27 tff(8818,plain,
% 24.95/16.27 (v84(constB74, bitIndex1) | v94(constB75) | (~v84(constB75, bitIndex1))),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8817, 126, 8740])).
% 24.95/16.27 tff(8819,plain,
% 24.95/16.27 (v84(constB74, bitIndex1) | (~v84(constB75, bitIndex1))),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8818, 8752])).
% 24.95/16.27 tff(8820,plain,
% 24.95/16.27 (~v84(constB75, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8819, 8811])).
% 24.95/16.27 tff(8821,assumption,(~v145(constB75)), introduced(assumption)).
% 24.95/16.27 tff(8822,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8823,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8824,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75)),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 24.95/16.27 tff(8825,plain,
% 24.95/16.27 ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8824, 614, 8821])).
% 24.95/16.27 tff(8826,plain,
% 24.95/16.27 ($false),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8825, 8820, 8789, 8761])).
% 24.95/16.27 tff(8827,plain,(v26(constB73) | v145(constB75) | (~v94(constB74)) | v124(constB73, bitIndex2) | v124(constB73, bitIndex1) | (~v124(constB73, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 24.95/16.27 tff(8828,plain,
% 24.95/16.27 (v145(constB75) | (~v94(constB74)) | v124(constB73, bitIndex2) | v124(constB73, bitIndex1) | (~v124(constB73, bitIndex0))),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8827, 8713])).
% 24.95/16.27 tff(8829,plain,
% 24.95/16.27 (v145(constB75)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8828, 8709, 8601, 8594, 8587])).
% 24.95/16.27 tff(8830,plain,
% 24.95/16.27 ((~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8796, 476, 8713])).
% 24.95/16.27 tff(8831,plain,
% 24.95/16.27 (~v121(constB73, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8830, 8601])).
% 24.95/16.27 tff(8832,plain,
% 24.95/16.27 (~v123(constB74, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8802, 8831])).
% 24.95/16.27 tff(8833,plain,
% 24.95/16.27 (~v84(constB74, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8809, 509, 8709, 8832])).
% 24.95/16.27 tff(8834,plain,
% 24.95/16.27 (~v84(constB75, bitIndex1)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8819, 8833])).
% 24.95/16.27 tff(8835,assumption,(~v102(constB75)), introduced(assumption)).
% 24.95/16.27 tff(8836,plain,
% 24.95/16.27 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8837,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 24.95/16.27 tff(8838,plain,
% 24.95/16.27 (nextState(constB75, constB76)),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 24.95/16.27 tff(8839,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8840,plain,
% 24.95/16.27 (((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76))) <=> ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8841,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75)))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8840])).
% 24.95/16.27 tff(8842,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8841, 8839])).
% 24.95/16.27 tff(8843,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8844,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75)),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8843, 8842])).
% 24.95/16.27 tff(8845,plain,
% 24.95/16.27 ((~v104(constB76)) | v102(constB75)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8844, 2869, 8838])).
% 24.95/16.27 tff(8846,plain,
% 24.95/16.27 (~v104(constB76)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8845, 8835])).
% 24.95/16.27 tff(8847,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8848,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8849,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 24.95/16.27 tff(8850,plain,
% 24.95/16.27 (v104(constB76) | (~v94(constB76))),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8849, 2887, 8838])).
% 24.95/16.27 tff(8851,plain,
% 24.95/16.27 (~v94(constB76)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8850, 8846])).
% 24.95/16.27 tff(8852,assumption,(~v84(constB75, bitIndex1)), introduced(assumption)).
% 24.95/16.27 tff(8853,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB75) | (~v26(constB75)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v26(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8854,plain,
% 24.95/16.27 (((~v26(constB75)) | v102(constB75)) <=> (v102(constB75) | (~v26(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8855,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB75)) | v102(constB75))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB75) | (~v26(constB75))))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8854])).
% 24.95/16.27 tff(8856,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB75)) | v102(constB75))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v26(constB75)))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8855, 8853])).
% 24.95/16.27 tff(8857,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB75)) | v102(constB75))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8858,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v26(constB75))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8857, 8856])).
% 24.95/16.27 tff(8859,plain,
% 24.95/16.27 (~v26(constB75)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8858, 660, 8835])).
% 24.95/16.27 tff(8860,assumption,(~v84(constB76, bitIndex0)), introduced(assumption)).
% 24.95/16.27 tff(8861,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8862,plain,
% 24.95/16.27 (((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0)) <=> ((~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8863,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0)))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8862])).
% 24.95/16.27 tff(8864,plain,
% 24.95/16.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8863, 8861])).
% 24.95/16.27 tff(8865,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB75, constB76)) | (~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8866,plain,
% 24.95/16.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB75, bitIndex0)) | (~nextState(constB75, constB76)) | v94(constB76) | v84(constB76, bitIndex0)),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8865, 8864])).
% 24.95/16.27 tff(8867,plain,
% 24.95/16.27 ((~v84(constB75, bitIndex0)) | v94(constB76) | v84(constB76, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8866, 595, 8838])).
% 24.95/16.27 tff(8868,plain,
% 24.95/16.27 (~v84(constB75, bitIndex0)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8867, 8851, 8860])).
% 24.95/16.27 tff(8869,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB75) | (~v106(constB75)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v106(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8870,plain,
% 24.95/16.27 (((~v106(constB75)) | v102(constB75)) <=> (v102(constB75) | (~v106(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8871,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB75)) | v102(constB75))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB75) | (~v106(constB75))))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8870])).
% 24.95/16.27 tff(8872,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB75)) | v102(constB75))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v106(constB75)))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8871, 8869])).
% 24.95/16.27 tff(8873,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB75)) | v102(constB75))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8874,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB75) | (~v106(constB75))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8873, 8872])).
% 24.95/16.27 tff(8875,plain,
% 24.95/16.27 (~v106(constB75)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8874, 275, 8835])).
% 24.95/16.27 tff(8876,assumption,(~v26(constB75)), introduced(assumption)).
% 24.95/16.27 tff(8877,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8878,plain,
% 24.95/16.27 ((v26(constB75) | (~v107(constB75)) | v106(constB75)) <=> (v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8879,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75))))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8878])).
% 24.95/16.27 tff(8880,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8879, 8877])).
% 24.95/16.27 tff(8881,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8882,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8881, 8880])).
% 24.95/16.27 tff(8883,plain,
% 24.95/16.27 (v106(constB75) | (~v107(constB75))),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8882, 263, 8876])).
% 24.95/16.27 tff(8884,plain,
% 24.95/16.27 (~v107(constB75)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8883, 8875])).
% 24.95/16.27 tff(8885,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB75) | (~v108(constB75)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB75) | (~v108(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8886,plain,
% 24.95/16.27 (((~v108(constB75)) | v107(constB75)) <=> (v107(constB75) | (~v108(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8887,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB75)) | v107(constB75))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB75) | (~v108(constB75))))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8886])).
% 24.95/16.27 tff(8888,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB75)) | v107(constB75))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB75) | (~v108(constB75)))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8887, 8885])).
% 24.95/16.27 tff(8889,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB75)) | v107(constB75))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8890,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB75) | (~v108(constB75))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8889, 8888])).
% 24.95/16.27 tff(8891,plain,
% 24.95/16.27 (~v108(constB75)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8890, 249, 8884])).
% 24.95/16.27 tff(8892,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v109(constB75)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v109(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8893,plain,
% 24.95/16.27 (((~v109(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v109(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8894,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v109(constB75))))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8893])).
% 24.95/16.27 tff(8895,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v109(constB75)))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8894, 8892])).
% 24.95/16.27 tff(8896,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB75)) | v108(constB75))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8897,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v109(constB75))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8896, 8895])).
% 24.95/16.27 tff(8898,plain,
% 24.95/16.27 (~v109(constB75)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8897, 235, 8891])).
% 24.95/16.27 tff(8899,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB75) | (~v172(constB75)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB75) | (~v172(constB75)))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8900,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB75) | (~v172(constB75)))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8901,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB75) | (~v172(constB75))),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 24.95/16.27 tff(8902,plain,
% 24.95/16.27 (~v172(constB75)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8901, 1468, 8898])).
% 24.95/16.27 tff(8903,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8904,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))),
% 24.95/16.27 inference(quant_inst,[status(thm)],[])).
% 24.95/16.27 tff(8905,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75)),
% 24.95/16.27 inference(modus_ponens,[status(thm)],[8904, 8903])).
% 24.95/16.27 tff(8906,plain,
% 24.95/16.27 (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex2)) | v172(constB75)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8905, 1454, 8852])).
% 24.95/16.27 tff(8907,plain,
% 24.95/16.27 (~v84(constB75, bitIndex2)),
% 24.95/16.27 inference(unit_resolution,[status(thm)],[8906, 8902, 8868])).
% 24.95/16.27 tff(8908,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8909,plain,
% 24.95/16.27 ((v84(constB75, bitIndex0) | v113(constB75) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2)) <=> (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75))),
% 24.95/16.27 inference(rewrite,[status(thm)],[])).
% 24.95/16.27 tff(8910,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v113(constB75) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75)))),
% 24.95/16.27 inference(monotonicity,[status(thm)],[8909])).
% 24.95/16.27 tff(8911,plain,
% 24.95/16.27 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v113(constB75) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75))),
% 24.95/16.27 inference(transitivity,[status(thm)],[8910, 8908])).
% 24.95/16.27 tff(8912,plain,
% 24.95/16.27 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB75, bitIndex0) | v113(constB75) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8913,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v113(constB75)),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8912, 8911])).
% 24.95/16.28 tff(8914,plain,
% 24.95/16.28 (v84(constB75, bitIndex0) | v84(constB75, bitIndex2) | v113(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8913, 168, 8852])).
% 24.95/16.28 tff(8915,plain,
% 24.95/16.28 (v113(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8914, 8907, 8868])).
% 24.95/16.28 tff(8916,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB75) | (~v113(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8917,plain,
% 24.95/16.28 (((~v113(constB75)) | v112(constB75)) <=> (v112(constB75) | (~v113(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8918,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB75) | (~v113(constB75))))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[8917])).
% 24.95/16.28 tff(8919,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB75)) | v112(constB75))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB75) | (~v113(constB75)))),
% 24.95/16.28 inference(transitivity,[status(thm)],[8918, 8916])).
% 24.95/16.28 tff(8920,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB75)) | v112(constB75))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8921,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB75) | (~v113(constB75))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 24.95/16.28 tff(8922,plain,
% 24.95/16.28 (v112(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8921, 182, 8915])).
% 24.95/16.28 tff(8923,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB75)) | v109(constB75))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB75)) | v109(constB75))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8924,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB75)) | v109(constB75))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8925,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB75)) | v109(constB75)),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8924, 8923])).
% 24.95/16.28 tff(8926,plain,
% 24.95/16.28 (~v110(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8925, 221, 8898])).
% 24.95/16.28 tff(8927,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB75) | (~v111(constB75)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB75) | (~v111(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8928,plain,
% 24.95/16.28 (((~v111(constB75)) | v110(constB75)) <=> (v110(constB75) | (~v111(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8929,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB75)) | v110(constB75))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB75) | (~v111(constB75))))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[8928])).
% 24.95/16.28 tff(8930,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB75)) | v110(constB75))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB75) | (~v111(constB75)))),
% 24.95/16.28 inference(transitivity,[status(thm)],[8929, 8927])).
% 24.95/16.28 tff(8931,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB75)) | v110(constB75))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8932,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB75) | (~v111(constB75))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 24.95/16.28 tff(8933,plain,
% 24.95/16.28 (~v111(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8932, 207, 8926])).
% 24.95/16.28 tff(8934,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB75) | (~v112(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8935,plain,
% 24.95/16.28 (((~v112(constB75)) | v111(constB75)) <=> (v111(constB75) | (~v112(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8936,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB75)) | v111(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB75) | (~v112(constB75))))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[8935])).
% 24.95/16.28 tff(8937,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB75)) | v111(constB75))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB75) | (~v112(constB75)))),
% 24.95/16.28 inference(transitivity,[status(thm)],[8936, 8934])).
% 24.95/16.28 tff(8938,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB75)) | v111(constB75))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8939,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB75) | (~v112(constB75))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8938, 8937])).
% 24.95/16.28 tff(8940,plain,
% 24.95/16.28 ($false),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8939, 193, 8933, 8922])).
% 24.95/16.28 tff(8941,plain,(v102(constB75) | v84(constB75, bitIndex1) | v26(constB75) | v84(constB76, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 24.95/16.28 tff(8942,plain,
% 24.95/16.28 (v84(constB76, bitIndex0)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8941, 8859, 8852, 8835])).
% 24.95/16.28 tff(8943,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8944,plain,
% 24.95/16.28 (((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0))) <=> (v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8945,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0))))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[8944])).
% 24.95/16.28 tff(8946,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 24.95/16.28 inference(transitivity,[status(thm)],[8945, 8943])).
% 24.95/16.28 tff(8947,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8948,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB75, bitIndex0) | (~nextState(constB75, constB76)) | v94(constB76) | (~v84(constB76, bitIndex0))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8947, 8946])).
% 24.95/16.28 tff(8949,plain,
% 24.95/16.28 (v84(constB75, bitIndex0) | v94(constB76) | (~v84(constB76, bitIndex0))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8948, 147, 8838])).
% 24.95/16.28 tff(8950,plain,
% 24.95/16.28 (v84(constB75, bitIndex0)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8949, 8942, 8851])).
% 24.95/16.28 tff(8951,plain,
% 24.95/16.28 (~v107(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8882, 263, 8859, 8875])).
% 24.95/16.28 tff(8952,plain,
% 24.95/16.28 (~v108(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8890, 249, 8951])).
% 24.95/16.28 tff(8953,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v118(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8954,plain,
% 24.95/16.28 (((~v118(constB75)) | v108(constB75)) <=> (v108(constB75) | (~v118(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8955,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB75) | (~v118(constB75))))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[8954])).
% 24.95/16.28 tff(8956,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB75)) | v108(constB75))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v118(constB75)))),
% 24.95/16.28 inference(transitivity,[status(thm)],[8955, 8953])).
% 24.95/16.28 tff(8957,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB75)) | v108(constB75))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8958,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB75) | (~v118(constB75))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8957, 8956])).
% 24.95/16.28 tff(8959,plain,
% 24.95/16.28 (~v118(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8958, 1688, 8952])).
% 24.95/16.28 tff(8960,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8961,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8962,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75)),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8961, 8960])).
% 24.95/16.28 tff(8963,plain,
% 24.95/16.28 ((~v84(constB75, bitIndex0)) | (~v84(constB75, bitIndex2)) | v118(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8962, 1677, 8852])).
% 24.95/16.28 tff(8964,plain,
% 24.95/16.28 (~v84(constB75, bitIndex2)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8963, 8959, 8950])).
% 24.95/16.28 tff(8965,plain,
% 24.95/16.28 ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | v145(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8824, 614, 8852])).
% 24.95/16.28 tff(8966,plain,
% 24.95/16.28 (v145(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8965, 8964, 8950])).
% 24.95/16.28 tff(8967,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB75) | (~v145(constB75)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB75) | (~v145(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8968,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB75) | (~v145(constB75)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8969,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB75) | (~v145(constB75))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8968, 8967])).
% 24.95/16.28 tff(8970,plain,
% 24.95/16.28 (v112(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8969, 677, 8966])).
% 24.95/16.28 tff(8971,plain,
% 24.95/16.28 (~v109(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8897, 235, 8952])).
% 24.95/16.28 tff(8972,plain,
% 24.95/16.28 (~v110(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8925, 221, 8971])).
% 24.95/16.28 tff(8973,plain,
% 24.95/16.28 (~v111(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8932, 207, 8972])).
% 24.95/16.28 tff(8974,plain,
% 24.95/16.28 ($false),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8939, 193, 8973, 8970])).
% 24.95/16.28 tff(8975,plain,(v102(constB75) | v84(constB75, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 24.95/16.28 tff(8976,plain,
% 24.95/16.28 (v102(constB75)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8975, 8834])).
% 24.95/16.28 tff(8977,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8978,plain,
% 24.95/16.28 (((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76)) <=> ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8979,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[8978])).
% 24.95/16.28 tff(8980,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 24.95/16.28 inference(transitivity,[status(thm)],[8979, 8977])).
% 24.95/16.28 tff(8981,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8982,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8981, 8980])).
% 24.95/16.28 tff(8983,plain,
% 24.95/16.28 (v104(constB76) | (~v102(constB75))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8982, 295, 8838])).
% 24.95/16.28 tff(8984,plain,
% 24.95/16.28 (v104(constB76)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8983, 8976])).
% 24.95/16.28 tff(8985,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8986,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8987,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 24.95/16.28 tff(8988,plain,
% 24.95/16.28 (~v98(constB76)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8987, 313, 8838, 8737])).
% 24.95/16.28 tff(8989,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8990,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8991,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76)),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8990, 8989])).
% 24.95/16.28 tff(8992,plain,
% 24.95/16.28 (v96(constB76) | v98(constB76)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8991, 327, 8838])).
% 24.95/16.28 tff(8993,plain,
% 24.95/16.28 (v96(constB76)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8992, 8988])).
% 24.95/16.28 tff(8994,plain,
% 24.95/16.28 (v1(constB76) <=> v1(constB76)),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8995,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 24.95/16.28 tff(8996,plain,
% 24.95/16.28 (v1(constB76)),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8995, 8994])).
% 24.95/16.28 tff(8997,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(8998,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(8999,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[8998, 8997])).
% 24.95/16.28 tff(9000,plain,
% 24.95/16.28 (v95(constB76) | (~v96(constB76))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[8999, 345, 8838, 8996])).
% 24.95/16.28 tff(9001,plain,
% 24.95/16.28 (v95(constB76)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9000, 8993])).
% 24.95/16.28 tff(9002,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9003,plain,
% 24.95/16.28 (((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76)) <=> ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9004,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76))))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[9003])).
% 24.95/16.28 tff(9005,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76)))),
% 24.95/16.28 inference(transitivity,[status(thm)],[9004, 9002])).
% 24.95/16.28 tff(9006,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9007,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | v94(constB76) | (~v95(constB76)) | (~v104(constB76))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9006, 9005])).
% 24.95/16.28 tff(9008,plain,
% 24.95/16.28 (v94(constB76) | (~v95(constB76)) | (~v104(constB76))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9007, 360, 8838])).
% 24.95/16.28 tff(9009,plain,
% 24.95/16.28 (v94(constB76) | (~v104(constB76))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9008, 9001])).
% 24.95/16.28 tff(9010,plain,
% 24.95/16.28 (v94(constB76)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9009, 8984])).
% 24.95/16.28 tff(9011,assumption,(v145(constB75)), introduced(assumption)).
% 24.95/16.28 tff(9012,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB75)) | (~v124(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB75)) | (~v124(constB75, bitIndex2)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9013,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB75)) | (~v124(constB75, bitIndex2)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9014,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB75)) | (~v124(constB75, bitIndex2))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9013, 9012])).
% 24.95/16.28 tff(9015,plain,
% 24.95/16.28 (~v124(constB75, bitIndex2)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9014, 625, 9011])).
% 24.95/16.28 tff(9016,assumption,(v26(constB75)), introduced(assumption)).
% 24.95/16.28 tff(9017,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB75))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9018,plain,
% 24.95/16.28 ($false),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9017, 18, 9016])).
% 24.95/16.28 tff(9019,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 24.95/16.28 tff(9020,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9021,plain,
% 24.95/16.28 ((v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2))) <=> ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9022,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2)))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[9021])).
% 24.95/16.28 tff(9023,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2))),
% 24.95/16.28 inference(transitivity,[status(thm)],[9022, 9020])).
% 24.95/16.28 tff(9024,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB75) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9025,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB75, bitIndex2)) | v26(constB75) | v124(constB75, bitIndex2)),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 24.95/16.28 tff(9026,plain,
% 24.95/16.28 ((~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9025, 390, 9019])).
% 24.95/16.28 tff(9027,plain,
% 24.95/16.28 (~v121(constB75, bitIndex2)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9026, 9015])).
% 24.95/16.28 tff(9028,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9029,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9030,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 24.95/16.28 tff(9031,plain,
% 24.95/16.28 (v121(constB75, bitIndex2) | (~v123(constB76, bitIndex2))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9030, 408, 8838])).
% 24.95/16.28 tff(9032,plain,
% 24.95/16.28 (~v123(constB76, bitIndex2)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9031, 9027])).
% 24.95/16.28 tff(9033,assumption,(v94(constB76)), introduced(assumption)).
% 24.95/16.28 tff(9034,plain,
% 24.95/16.28 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9035,plain,
% 24.95/16.28 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9036,plain,
% 24.95/16.28 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2) | (~v94(constB76))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9035, 9034])).
% 24.95/16.28 tff(9037,plain,
% 24.95/16.28 ((~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9036, 423, 9033])).
% 24.95/16.28 tff(9038,plain,
% 24.95/16.28 (~v84(constB76, bitIndex2)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9037, 9032])).
% 24.95/16.28 tff(9039,plain,
% 24.95/16.28 ((~v1(constB77)) <=> (~v1(constB77))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9040,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 24.95/16.28 tff(9041,plain,
% 24.95/16.28 (~v1(constB77)),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9040, 9039])).
% 24.95/16.28 tff(9042,plain,
% 24.95/16.28 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9043,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 24.95/16.28 tff(9044,plain,
% 24.95/16.28 (nextState(constB76, constB77)),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9043, 9042])).
% 24.95/16.28 tff(9045,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9046,plain,
% 24.95/16.28 (((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9047,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[9046])).
% 24.95/16.28 tff(9048,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 24.95/16.28 inference(transitivity,[status(thm)],[9047, 9045])).
% 24.95/16.28 tff(9049,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9050,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9049, 9048])).
% 24.95/16.28 tff(9051,plain,
% 24.95/16.28 (~v95(constB77)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9050, 73, 9044, 9041])).
% 24.95/16.28 tff(9052,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9053,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9054,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9053, 9052])).
% 24.95/16.28 tff(9055,plain,
% 24.95/16.28 (v95(constB77) | (~v94(constB77))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9054, 90, 9044])).
% 24.95/16.28 tff(9056,plain,
% 24.95/16.28 (~v94(constB77)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9055, 9051])).
% 24.95/16.28 tff(9057,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9058,plain,
% 24.95/16.28 (((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2))) <=> (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9059,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2))))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[9058])).
% 24.95/16.28 tff(9060,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 24.95/16.28 inference(transitivity,[status(thm)],[9059, 9057])).
% 24.95/16.28 tff(9061,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9062,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB76, bitIndex2) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex2))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9061, 9060])).
% 24.95/16.28 tff(9063,plain,
% 24.95/16.28 (v84(constB76, bitIndex2) | v94(constB77) | (~v84(constB77, bitIndex2))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9062, 105, 9044])).
% 24.95/16.28 tff(9064,plain,
% 24.95/16.28 (v84(constB76, bitIndex2) | (~v84(constB77, bitIndex2))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9063, 9056])).
% 24.95/16.28 tff(9065,plain,
% 24.95/16.28 (~v84(constB77, bitIndex2)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9064, 9038])).
% 24.95/16.28 tff(9066,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB75)) | (~v124(constB75, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB75)) | (~v124(constB75, bitIndex0)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9067,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB75)) | (~v124(constB75, bitIndex0)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9068,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB75)) | (~v124(constB75, bitIndex0))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9067, 9066])).
% 24.95/16.28 tff(9069,plain,
% 24.95/16.28 (~v124(constB75, bitIndex0)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9068, 876, 9011])).
% 24.95/16.28 tff(9070,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9071,plain,
% 24.95/16.28 ((v26(constB75) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0))) <=> ((~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9072,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB75) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0)))),
% 24.95/16.28 inference(monotonicity,[status(thm)],[9071])).
% 24.95/16.28 tff(9073,plain,
% 24.95/16.28 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB75) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0))),
% 24.95/16.28 inference(transitivity,[status(thm)],[9072, 9070])).
% 24.95/16.28 tff(9074,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB75) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9075,plain,
% 24.95/16.28 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB75, bitIndex0)) | v26(constB75) | v124(constB75, bitIndex0)),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9074, 9073])).
% 24.95/16.28 tff(9076,plain,
% 24.95/16.28 ((~v121(constB75, bitIndex0)) | v124(constB75, bitIndex0)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9075, 890, 9019])).
% 24.95/16.28 tff(9077,plain,
% 24.95/16.28 (~v121(constB75, bitIndex0)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9076, 9069])).
% 24.95/16.28 tff(9078,plain,
% 24.95/16.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0)))),
% 24.95/16.28 inference(rewrite,[status(thm)],[])).
% 24.95/16.28 tff(9079,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB75, constB76)) | v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0)))),
% 24.95/16.28 inference(quant_inst,[status(thm)],[])).
% 24.95/16.28 tff(9080,plain,
% 24.95/16.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB75, constB76)) | v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0))),
% 24.95/16.28 inference(modus_ponens,[status(thm)],[9079, 9078])).
% 24.95/16.28 tff(9081,plain,
% 24.95/16.28 (v121(constB75, bitIndex0) | (~v123(constB76, bitIndex0))),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9080, 908, 8838])).
% 24.95/16.28 tff(9082,plain,
% 24.95/16.28 (~v123(constB76, bitIndex0)),
% 24.95/16.28 inference(unit_resolution,[status(thm)],[9081, 9077])).
% 24.95/16.28 tff(9083,plain,
% 24.95/16.28 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9084,plain,
% 24.97/16.29 (((~v84(constB76, bitIndex0)) | (~v94(constB76)) | v123(constB76, bitIndex0)) <=> ((~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9085,plain,
% 24.97/16.29 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~v94(constB76)) | v123(constB76, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9084])).
% 24.97/16.29 tff(9086,plain,
% 24.97/16.29 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~v94(constB76)) | v123(constB76, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9085, 9083])).
% 24.97/16.29 tff(9087,plain,
% 24.97/16.29 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB76, bitIndex0)) | (~v94(constB76)) | v123(constB76, bitIndex0))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9088,plain,
% 24.97/16.29 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0) | (~v94(constB76))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 24.97/16.29 tff(9089,plain,
% 24.97/16.29 ((~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9088, 923, 9033])).
% 24.97/16.29 tff(9090,plain,
% 24.97/16.29 (~v84(constB76, bitIndex0)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9089, 9082])).
% 24.97/16.29 tff(9091,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9092,plain,
% 24.97/16.29 (((~nextState(constB76, constB77)) | v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0))) <=> (v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9093,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9092])).
% 24.97/16.29 tff(9094,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9093, 9091])).
% 24.97/16.29 tff(9095,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB76, constB77)) | v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0)))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9096,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB76, bitIndex0) | (~nextState(constB76, constB77)) | v94(constB77) | (~v84(constB77, bitIndex0))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 24.97/16.29 tff(9097,plain,
% 24.97/16.29 (v84(constB76, bitIndex0) | v94(constB77) | (~v84(constB77, bitIndex0))),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9096, 147, 9044])).
% 24.97/16.29 tff(9098,plain,
% 24.97/16.29 (v84(constB76, bitIndex0) | (~v84(constB77, bitIndex0))),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9097, 9056])).
% 24.97/16.29 tff(9099,plain,
% 24.97/16.29 (~v84(constB77, bitIndex0)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9098, 9090])).
% 24.97/16.29 tff(9100,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB75)) | v124(constB75, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB75)) | v124(constB75, bitIndex1))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9101,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB75)) | v124(constB75, bitIndex1))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9102,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB75)) | v124(constB75, bitIndex1)),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9101, 9100])).
% 24.97/16.29 tff(9103,plain,
% 24.97/16.29 (v124(constB75, bitIndex1)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9102, 798, 9011])).
% 24.97/16.29 tff(9104,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB75) | (~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB75) | (~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9105,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB75) | (~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9106,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB75) | (~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1)),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9105, 9104])).
% 24.97/16.29 tff(9107,plain,
% 24.97/16.29 ((~v124(constB75, bitIndex1)) | v121(constB75, bitIndex1)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9106, 812, 9019])).
% 24.97/16.29 tff(9108,plain,
% 24.97/16.29 (v121(constB75, bitIndex1)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9107, 9103])).
% 24.97/16.29 tff(9109,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9110,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB75, constB76)) | (~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9111,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB75, constB76)) | (~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1)),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9110, 9109])).
% 24.97/16.29 tff(9112,plain,
% 24.97/16.29 ((~v121(constB75, bitIndex1)) | v123(constB76, bitIndex1)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9111, 827, 8838])).
% 24.97/16.29 tff(9113,plain,
% 24.97/16.29 (v123(constB76, bitIndex1)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9112, 9108])).
% 24.97/16.29 tff(9114,plain,
% 24.97/16.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9115,plain,
% 24.97/16.29 ((v84(constB76, bitIndex1) | (~v94(constB76)) | (~v123(constB76, bitIndex1))) <=> (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9116,plain,
% 24.97/16.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v94(constB76)) | (~v123(constB76, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9115])).
% 24.97/16.29 tff(9117,plain,
% 24.97/16.29 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v94(constB76)) | (~v123(constB76, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9116, 9114])).
% 24.97/16.29 tff(9118,plain,
% 24.97/16.29 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB76, bitIndex1) | (~v94(constB76)) | (~v123(constB76, bitIndex1)))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9119,plain,
% 24.97/16.29 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1)) | (~v94(constB76))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9118, 9117])).
% 24.97/16.29 tff(9120,plain,
% 24.97/16.29 (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1))),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9119, 842, 9033])).
% 24.97/16.29 tff(9121,plain,
% 24.97/16.29 (v84(constB76, bitIndex1)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9120, 9113])).
% 24.97/16.29 tff(9122,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9123,plain,
% 24.97/16.29 (((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1)) <=> ((~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9124,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1)))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9123])).
% 24.97/16.29 tff(9125,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9124, 9122])).
% 24.97/16.29 tff(9126,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB76, constB77)) | (~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9127,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB76, bitIndex1)) | (~nextState(constB76, constB77)) | v94(constB77) | v84(constB77, bitIndex1)),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 24.97/16.29 tff(9128,plain,
% 24.97/16.29 ((~v84(constB76, bitIndex1)) | v94(constB77) | v84(constB77, bitIndex1)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9127, 860, 9044])).
% 24.97/16.29 tff(9129,plain,
% 24.97/16.29 ((~v84(constB76, bitIndex1)) | v84(constB77, bitIndex1)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9128, 9056])).
% 24.97/16.29 tff(9130,plain,
% 24.97/16.29 (v84(constB77, bitIndex1)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9129, 9121])).
% 24.97/16.29 tff(9131,assumption,(~v115(constB77)), introduced(assumption)).
% 24.97/16.29 tff(9132,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9133,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9134,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77)),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9133, 9132])).
% 24.97/16.29 tff(9135,plain,
% 24.97/16.29 (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9134, 950, 9131])).
% 24.97/16.29 tff(9136,plain,
% 24.97/16.29 ($false),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9135, 9130, 9099, 9065])).
% 24.97/16.29 tff(9137,plain,((~v145(constB75)) | v115(constB77) | (~v94(constB76))), inference(lemma,lemma(discharge,[]))).
% 24.97/16.29 tff(9138,plain,
% 24.97/16.29 (v115(constB77)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9137, 9010, 8829])).
% 24.97/16.29 tff(9139,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB77) | (~v115(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9140,plain,
% 24.97/16.29 (((~v115(constB77)) | v111(constB77)) <=> (v111(constB77) | (~v115(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9141,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB77)) | v111(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB77) | (~v115(constB77))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9140])).
% 24.97/16.29 tff(9142,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB77)) | v111(constB77))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB77) | (~v115(constB77)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9141, 9139])).
% 24.97/16.29 tff(9143,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB77)) | v111(constB77))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9144,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB77) | (~v115(constB77))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9143, 9142])).
% 24.97/16.29 tff(9145,plain,
% 24.97/16.29 (v111(constB77)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9144, 961, 9138])).
% 24.97/16.29 tff(9146,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB77) | (~v111(constB77)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB77) | (~v111(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9147,plain,
% 24.97/16.29 (((~v111(constB77)) | v110(constB77)) <=> (v110(constB77) | (~v111(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9148,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB77)) | v110(constB77))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB77) | (~v111(constB77))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9147])).
% 24.97/16.29 tff(9149,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB77)) | v110(constB77))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB77) | (~v111(constB77)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9148, 9146])).
% 24.97/16.29 tff(9150,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB77)) | v110(constB77))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9151,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB77) | (~v111(constB77))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 24.97/16.29 tff(9152,plain,
% 24.97/16.29 (v110(constB77)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9151, 207, 9145])).
% 24.97/16.29 tff(9153,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB77) | (~v110(constB77)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB77) | (~v110(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9154,plain,
% 24.97/16.29 (((~v110(constB77)) | v109(constB77)) <=> (v109(constB77) | (~v110(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9155,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB77)) | v109(constB77))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB77) | (~v110(constB77))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9154])).
% 24.97/16.29 tff(9156,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB77)) | v109(constB77))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB77) | (~v110(constB77)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9155, 9153])).
% 24.97/16.29 tff(9157,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB77)) | v109(constB77))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9158,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB77) | (~v110(constB77))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9157, 9156])).
% 24.97/16.29 tff(9159,plain,
% 24.97/16.29 (v109(constB77)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9158, 221, 9152])).
% 24.97/16.29 tff(9160,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v109(constB77)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v109(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9161,plain,
% 24.97/16.29 (((~v109(constB77)) | v108(constB77)) <=> (v108(constB77) | (~v109(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9162,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB77) | (~v109(constB77))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9161])).
% 24.97/16.29 tff(9163,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB77)) | v108(constB77))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v109(constB77)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9162, 9160])).
% 24.97/16.29 tff(9164,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB77)) | v108(constB77))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9165,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB77) | (~v109(constB77))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9164, 9163])).
% 24.97/16.29 tff(9166,plain,
% 24.97/16.29 (v108(constB77)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9165, 235, 9159])).
% 24.97/16.29 tff(9167,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB77)) | v107(constB77))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB77)) | v107(constB77))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9168,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB77)) | v107(constB77))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9169,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB77)) | v107(constB77)),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9168, 9167])).
% 24.97/16.29 tff(9170,plain,
% 24.97/16.29 (v107(constB77)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9169, 249, 9166])).
% 24.97/16.29 tff(9171,assumption,(v26(constB77)), introduced(assumption)).
% 24.97/16.29 tff(9172,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB77))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9173,plain,
% 24.97/16.29 ($false),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9172, 18, 9171])).
% 24.97/16.29 tff(9174,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 24.97/16.29 tff(9175,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9176,plain,
% 24.97/16.29 ((v26(constB77) | (~v107(constB77)) | v106(constB77)) <=> (v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9177,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9176])).
% 24.97/16.29 tff(9178,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9177, 9175])).
% 24.97/16.29 tff(9179,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9180,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9179, 9178])).
% 24.97/16.29 tff(9181,plain,
% 24.97/16.29 (v106(constB77) | (~v107(constB77))),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9180, 263, 9174])).
% 24.97/16.29 tff(9182,plain,
% 24.97/16.29 (v106(constB77)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9181, 9170])).
% 24.97/16.29 tff(9183,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB77) | (~v106(constB77)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB77) | (~v106(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9184,plain,
% 24.97/16.29 (((~v106(constB77)) | v102(constB77)) <=> (v102(constB77) | (~v106(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9185,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB77)) | v102(constB77))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB77) | (~v106(constB77))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9184])).
% 24.97/16.29 tff(9186,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB77)) | v102(constB77))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB77) | (~v106(constB77)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9185, 9183])).
% 24.97/16.29 tff(9187,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB77)) | v102(constB77))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9188,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB77) | (~v106(constB77))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9187, 9186])).
% 24.97/16.29 tff(9189,plain,
% 24.97/16.29 (v102(constB77)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9188, 275, 9182])).
% 24.97/16.29 tff(9190,plain,
% 24.97/16.29 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9191,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 24.97/16.29 tff(9192,plain,
% 24.97/16.29 (nextState(constB77, constB78)),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9191, 9190])).
% 24.97/16.29 tff(9193,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9194,plain,
% 24.97/16.29 (((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78)) <=> ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9195,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9194])).
% 24.97/16.29 tff(9196,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9195, 9193])).
% 24.97/16.29 tff(9197,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9198,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9197, 9196])).
% 24.97/16.29 tff(9199,plain,
% 24.97/16.29 (v104(constB78) | (~v102(constB77))),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9198, 295, 9192])).
% 24.97/16.29 tff(9200,plain,
% 24.97/16.29 (v104(constB78)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9199, 9189])).
% 24.97/16.29 tff(9201,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9202,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9203,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 24.97/16.29 tff(9204,plain,
% 24.97/16.29 (~v98(constB78)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9203, 313, 9192, 9041])).
% 24.97/16.29 tff(9205,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9206,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9207,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78)),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 24.97/16.29 tff(9208,plain,
% 24.97/16.29 (v96(constB78) | v98(constB78)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9207, 327, 9192])).
% 24.97/16.29 tff(9209,plain,
% 24.97/16.29 (v96(constB78)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9208, 9204])).
% 24.97/16.29 tff(9210,plain,
% 24.97/16.29 (v1(constB78) <=> v1(constB78)),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9211,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 24.97/16.29 tff(9212,plain,
% 24.97/16.29 (v1(constB78)),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9211, 9210])).
% 24.97/16.29 tff(9213,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9214,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9215,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9214, 9213])).
% 24.97/16.29 tff(9216,plain,
% 24.97/16.29 (v95(constB78) | (~v96(constB78))),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9215, 345, 9192, 9212])).
% 24.97/16.29 tff(9217,plain,
% 24.97/16.29 (v95(constB78)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9216, 9209])).
% 24.97/16.29 tff(9218,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9219,plain,
% 24.97/16.29 (((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78)) <=> ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9220,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78))))),
% 24.97/16.29 inference(monotonicity,[status(thm)],[9219])).
% 24.97/16.29 tff(9221,plain,
% 24.97/16.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78)))),
% 24.97/16.29 inference(transitivity,[status(thm)],[9220, 9218])).
% 24.97/16.29 tff(9222,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9223,plain,
% 24.97/16.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | v94(constB78) | (~v95(constB78)) | (~v104(constB78))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 24.97/16.29 tff(9224,plain,
% 24.97/16.29 (v94(constB78) | (~v95(constB78)) | (~v104(constB78))),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9223, 360, 9192])).
% 24.97/16.29 tff(9225,plain,
% 24.97/16.29 (v94(constB78) | (~v104(constB78))),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9224, 9217])).
% 24.97/16.29 tff(9226,plain,
% 24.97/16.29 (v94(constB78)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9225, 9200])).
% 24.97/16.29 tff(9227,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB77)) | (~v124(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB77)) | (~v124(constB77, bitIndex2)))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9228,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB77)) | (~v124(constB77, bitIndex2)))),
% 24.97/16.29 inference(quant_inst,[status(thm)],[])).
% 24.97/16.29 tff(9229,plain,
% 24.97/16.29 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB77)) | (~v124(constB77, bitIndex2))),
% 24.97/16.29 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 24.97/16.29 tff(9230,plain,
% 24.97/16.29 (~v124(constB77, bitIndex2)),
% 24.97/16.29 inference(unit_resolution,[status(thm)],[9229, 1046, 9138])).
% 24.97/16.29 tff(9231,plain,
% 24.97/16.29 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 24.97/16.29 inference(rewrite,[status(thm)],[])).
% 24.97/16.29 tff(9232,plain,
% 24.97/16.29 ((v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2))) <=> ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9233,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2)))),
% 24.97/16.30 inference(monotonicity,[status(thm)],[9232])).
% 24.97/16.30 tff(9234,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2))),
% 24.97/16.30 inference(transitivity,[status(thm)],[9233, 9231])).
% 24.97/16.30 tff(9235,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB77) | v124(constB77, bitIndex2) | (~v121(constB77, bitIndex2)))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9236,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB77, bitIndex2)) | v26(constB77) | v124(constB77, bitIndex2)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9235, 9234])).
% 24.97/16.30 tff(9237,plain,
% 24.97/16.30 ((~v121(constB77, bitIndex2)) | v124(constB77, bitIndex2)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9236, 390, 9174])).
% 24.97/16.30 tff(9238,plain,
% 24.97/16.30 (~v121(constB77, bitIndex2)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9237, 9230])).
% 24.97/16.30 tff(9239,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9240,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2)))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9241,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB77, constB78)) | v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2))),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9240, 9239])).
% 24.97/16.30 tff(9242,plain,
% 24.97/16.30 (v121(constB77, bitIndex2) | (~v123(constB78, bitIndex2))),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9241, 408, 9192])).
% 24.97/16.30 tff(9243,plain,
% 24.97/16.30 (~v123(constB78, bitIndex2)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9242, 9238])).
% 24.97/16.30 tff(9244,plain,
% 24.97/16.30 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9245,plain,
% 24.97/16.30 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78)))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9246,plain,
% 24.97/16.30 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2) | (~v94(constB78))),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9245, 9244])).
% 24.97/16.30 tff(9247,plain,
% 24.97/16.30 ((~v84(constB78, bitIndex2)) | (~v94(constB78))),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9246, 423, 9243])).
% 24.97/16.30 tff(9248,plain,
% 24.97/16.30 (~v84(constB78, bitIndex2)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9247, 9226])).
% 24.97/16.30 tff(9249,plain,
% 24.97/16.30 ((~v1(constB79)) <=> (~v1(constB79))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9250,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 24.97/16.30 tff(9251,plain,
% 24.97/16.30 (~v1(constB79)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9250, 9249])).
% 24.97/16.30 tff(9252,plain,
% 24.97/16.30 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9253,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 24.97/16.30 tff(9254,plain,
% 24.97/16.30 (nextState(constB78, constB79)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9253, 9252])).
% 24.97/16.30 tff(9255,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9256,plain,
% 24.97/16.30 (((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9257,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))))),
% 24.97/16.30 inference(monotonicity,[status(thm)],[9256])).
% 24.97/16.30 tff(9258,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 24.97/16.30 inference(transitivity,[status(thm)],[9257, 9255])).
% 24.97/16.30 tff(9259,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9260,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9259, 9258])).
% 24.97/16.30 tff(9261,plain,
% 24.97/16.30 (~v95(constB79)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9260, 73, 9254, 9251])).
% 24.97/16.30 tff(9262,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9263,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9264,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79))),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 24.97/16.30 tff(9265,plain,
% 24.97/16.30 (v95(constB79) | (~v94(constB79))),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9264, 90, 9254])).
% 24.97/16.30 tff(9266,plain,
% 24.97/16.30 (~v94(constB79)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9265, 9261])).
% 24.97/16.30 tff(9267,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9268,plain,
% 24.97/16.30 (((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2))) <=> (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9269,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2))))),
% 24.97/16.30 inference(monotonicity,[status(thm)],[9268])).
% 24.97/16.30 tff(9270,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 24.97/16.30 inference(transitivity,[status(thm)],[9269, 9267])).
% 24.97/16.30 tff(9271,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB78, constB79)) | v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2)))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9272,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB78, bitIndex2) | (~nextState(constB78, constB79)) | v94(constB79) | (~v84(constB79, bitIndex2))),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9271, 9270])).
% 24.97/16.30 tff(9273,plain,
% 24.97/16.30 (v84(constB78, bitIndex2) | v94(constB79) | (~v84(constB79, bitIndex2))),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9272, 105, 9254])).
% 24.97/16.30 tff(9274,plain,
% 24.97/16.30 (v84(constB78, bitIndex2) | (~v84(constB79, bitIndex2))),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9273, 9266])).
% 24.97/16.30 tff(9275,plain,
% 24.97/16.30 (~v84(constB79, bitIndex2)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9274, 9248])).
% 24.97/16.30 tff(9276,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB77)) | v124(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB77)) | v124(constB77, bitIndex1))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9277,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB77)) | v124(constB77, bitIndex1))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9278,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB77)) | v124(constB77, bitIndex1)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 24.97/16.30 tff(9279,plain,
% 24.97/16.30 (v124(constB77, bitIndex1)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9278, 1102, 9138])).
% 24.97/16.30 tff(9280,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9281,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9282,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB77) | (~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 24.97/16.30 tff(9283,plain,
% 24.97/16.30 ((~v124(constB77, bitIndex1)) | v121(constB77, bitIndex1)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9282, 812, 9174])).
% 24.97/16.30 tff(9284,plain,
% 24.97/16.30 (v121(constB77, bitIndex1)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9283, 9279])).
% 24.97/16.30 tff(9285,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9286,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9287,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 24.97/16.30 tff(9288,plain,
% 24.97/16.30 ((~v121(constB77, bitIndex1)) | v123(constB78, bitIndex1)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9287, 827, 9192])).
% 24.97/16.30 tff(9289,plain,
% 24.97/16.30 (v123(constB78, bitIndex1)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9288, 9284])).
% 24.97/16.30 tff(9290,plain,
% 24.97/16.30 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9291,plain,
% 24.97/16.30 ((v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1))) <=> (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9292,plain,
% 24.97/16.30 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78))))),
% 24.97/16.30 inference(monotonicity,[status(thm)],[9291])).
% 24.97/16.30 tff(9293,plain,
% 24.97/16.30 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78)))),
% 24.97/16.30 inference(transitivity,[status(thm)],[9292, 9290])).
% 24.97/16.30 tff(9294,plain,
% 24.97/16.30 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB78, bitIndex1) | (~v94(constB78)) | (~v123(constB78, bitIndex1)))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9295,plain,
% 24.97/16.30 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1)) | (~v94(constB78))),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9294, 9293])).
% 24.97/16.30 tff(9296,plain,
% 24.97/16.30 (v84(constB78, bitIndex1) | (~v94(constB78))),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9295, 842, 9289])).
% 24.97/16.30 tff(9297,plain,
% 24.97/16.30 (v84(constB78, bitIndex1)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9296, 9226])).
% 24.97/16.30 tff(9298,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9299,plain,
% 24.97/16.30 (((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1)) <=> ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9300,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1)))),
% 24.97/16.30 inference(monotonicity,[status(thm)],[9299])).
% 24.97/16.30 tff(9301,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1))),
% 24.97/16.30 inference(transitivity,[status(thm)],[9300, 9298])).
% 24.97/16.30 tff(9302,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9303,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB78, bitIndex1)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex1)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 24.97/16.30 tff(9304,plain,
% 24.97/16.30 ((~v84(constB78, bitIndex1)) | v94(constB79) | v84(constB79, bitIndex1)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9303, 860, 9254])).
% 24.97/16.30 tff(9305,plain,
% 24.97/16.30 ((~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9304, 9266])).
% 24.97/16.30 tff(9306,plain,
% 24.97/16.30 (v84(constB79, bitIndex1)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9305, 9297])).
% 24.97/16.30 tff(9307,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB77)) | v124(constB77, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB77)) | v124(constB77, bitIndex0))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9308,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB77)) | v124(constB77, bitIndex0))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9309,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB77)) | v124(constB77, bitIndex0)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9308, 9307])).
% 24.97/16.30 tff(9310,plain,
% 24.97/16.30 (v124(constB77, bitIndex0)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9309, 1140, 9138])).
% 24.97/16.30 tff(9311,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9312,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9313,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB77) | (~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9312, 9311])).
% 24.97/16.30 tff(9314,plain,
% 24.97/16.30 ((~v124(constB77, bitIndex0)) | v121(constB77, bitIndex0)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9313, 547, 9174])).
% 24.97/16.30 tff(9315,plain,
% 24.97/16.30 (v121(constB77, bitIndex0)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9314, 9310])).
% 24.97/16.30 tff(9316,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9317,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9318,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB77, constB78)) | (~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 24.97/16.30 tff(9319,plain,
% 24.97/16.30 ((~v121(constB77, bitIndex0)) | v123(constB78, bitIndex0)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9318, 562, 9192])).
% 24.97/16.30 tff(9320,plain,
% 24.97/16.30 (v123(constB78, bitIndex0)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9319, 9315])).
% 24.97/16.30 tff(9321,plain,
% 24.97/16.30 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9322,plain,
% 24.97/16.30 ((v84(constB78, bitIndex0) | (~v94(constB78)) | (~v123(constB78, bitIndex0))) <=> (v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9323,plain,
% 24.97/16.30 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v94(constB78)) | (~v123(constB78, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78))))),
% 24.97/16.30 inference(monotonicity,[status(thm)],[9322])).
% 24.97/16.30 tff(9324,plain,
% 24.97/16.30 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v94(constB78)) | (~v123(constB78, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78)))),
% 24.97/16.30 inference(transitivity,[status(thm)],[9323, 9321])).
% 24.97/16.30 tff(9325,plain,
% 24.97/16.30 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB78, bitIndex0) | (~v94(constB78)) | (~v123(constB78, bitIndex0)))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9326,plain,
% 24.97/16.30 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0)) | (~v94(constB78))),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9325, 9324])).
% 24.97/16.30 tff(9327,plain,
% 24.97/16.30 (v84(constB78, bitIndex0) | (~v94(constB78))),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9326, 577, 9320])).
% 24.97/16.30 tff(9328,plain,
% 24.97/16.30 (v84(constB78, bitIndex0)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9327, 9226])).
% 24.97/16.30 tff(9329,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9330,plain,
% 24.97/16.30 (((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0)) <=> ((~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9331,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0)))),
% 24.97/16.30 inference(monotonicity,[status(thm)],[9330])).
% 24.97/16.30 tff(9332,plain,
% 24.97/16.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0))),
% 24.97/16.30 inference(transitivity,[status(thm)],[9331, 9329])).
% 24.97/16.30 tff(9333,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB78, constB79)) | (~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9334,plain,
% 24.97/16.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB78, bitIndex0)) | (~nextState(constB78, constB79)) | v94(constB79) | v84(constB79, bitIndex0)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9333, 9332])).
% 24.97/16.30 tff(9335,plain,
% 24.97/16.30 ((~v84(constB78, bitIndex0)) | v94(constB79) | v84(constB79, bitIndex0)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9334, 595, 9254])).
% 24.97/16.30 tff(9336,plain,
% 24.97/16.30 ((~v84(constB78, bitIndex0)) | v84(constB79, bitIndex0)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9335, 9266])).
% 24.97/16.30 tff(9337,plain,
% 24.97/16.30 (v84(constB79, bitIndex0)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9336, 9328])).
% 24.97/16.30 tff(9338,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9339,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9340,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9339, 9338])).
% 24.97/16.30 tff(9341,plain,
% 24.97/16.30 (v116(constB79)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9340, 1181, 9337, 9306, 9275])).
% 24.97/16.30 tff(9342,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB79)) | v110(constB79))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB79)) | v110(constB79))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9343,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB79)) | v110(constB79))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9344,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB79)) | v110(constB79)),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9343, 9342])).
% 24.97/16.30 tff(9345,plain,
% 24.97/16.30 (v110(constB79)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9344, 1192, 9341])).
% 24.97/16.30 tff(9346,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB79) | (~v110(constB79)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB79) | (~v110(constB79)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9347,plain,
% 24.97/16.30 (((~v110(constB79)) | v109(constB79)) <=> (v109(constB79) | (~v110(constB79)))),
% 24.97/16.30 inference(rewrite,[status(thm)],[])).
% 24.97/16.30 tff(9348,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB79)) | v109(constB79))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB79) | (~v110(constB79))))),
% 24.97/16.30 inference(monotonicity,[status(thm)],[9347])).
% 24.97/16.30 tff(9349,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB79)) | v109(constB79))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB79) | (~v110(constB79)))),
% 24.97/16.30 inference(transitivity,[status(thm)],[9348, 9346])).
% 24.97/16.30 tff(9350,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB79)) | v109(constB79))),
% 24.97/16.30 inference(quant_inst,[status(thm)],[])).
% 24.97/16.30 tff(9351,plain,
% 24.97/16.30 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB79) | (~v110(constB79))),
% 24.97/16.30 inference(modus_ponens,[status(thm)],[9350, 9349])).
% 24.97/16.30 tff(9352,plain,
% 24.97/16.30 (v109(constB79)),
% 24.97/16.30 inference(unit_resolution,[status(thm)],[9351, 221, 9345])).
% 24.97/16.30 tff(9353,plain,
% 24.97/16.30 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB79)) | v108(constB79))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB79)) | v108(constB79))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9354,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB79)) | v108(constB79))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9355,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB79)) | v108(constB79)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 24.97/16.31 tff(9356,plain,
% 24.97/16.31 (v108(constB79)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9355, 235, 9352])).
% 24.97/16.31 tff(9357,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB79) | (~v108(constB79)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB79) | (~v108(constB79)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9358,plain,
% 24.97/16.31 (((~v108(constB79)) | v107(constB79)) <=> (v107(constB79) | (~v108(constB79)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9359,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB79)) | v107(constB79))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB79) | (~v108(constB79))))),
% 24.97/16.31 inference(monotonicity,[status(thm)],[9358])).
% 24.97/16.31 tff(9360,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB79)) | v107(constB79))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB79) | (~v108(constB79)))),
% 24.97/16.31 inference(transitivity,[status(thm)],[9359, 9357])).
% 24.97/16.31 tff(9361,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB79)) | v107(constB79))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9362,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB79) | (~v108(constB79))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 24.97/16.31 tff(9363,plain,
% 24.97/16.31 (v107(constB79)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9362, 249, 9356])).
% 24.97/16.31 tff(9364,assumption,(v26(constB79)), introduced(assumption)).
% 24.97/16.31 tff(9365,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB79))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9366,plain,
% 24.97/16.31 ($false),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9365, 18, 9364])).
% 24.97/16.31 tff(9367,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 24.97/16.31 tff(9368,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | v106(constB79) | (~v107(constB79)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9369,plain,
% 24.97/16.31 ((v26(constB79) | (~v107(constB79)) | v106(constB79)) <=> (v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9370,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | v106(constB79) | (~v107(constB79))))),
% 24.97/16.31 inference(monotonicity,[status(thm)],[9369])).
% 24.97/16.31 tff(9371,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 24.97/16.31 inference(transitivity,[status(thm)],[9370, 9368])).
% 24.97/16.31 tff(9372,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9373,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9372, 9371])).
% 24.97/16.31 tff(9374,plain,
% 24.97/16.31 (v106(constB79) | (~v107(constB79))),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9373, 263, 9367])).
% 24.97/16.31 tff(9375,plain,
% 24.97/16.31 (v106(constB79)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9374, 9363])).
% 24.97/16.31 tff(9376,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB79) | (~v106(constB79)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB79) | (~v106(constB79)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9377,plain,
% 24.97/16.31 (((~v106(constB79)) | v102(constB79)) <=> (v102(constB79) | (~v106(constB79)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9378,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB79)) | v102(constB79))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB79) | (~v106(constB79))))),
% 24.97/16.31 inference(monotonicity,[status(thm)],[9377])).
% 24.97/16.31 tff(9379,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB79)) | v102(constB79))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB79) | (~v106(constB79)))),
% 24.97/16.31 inference(transitivity,[status(thm)],[9378, 9376])).
% 24.97/16.31 tff(9380,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB79)) | v102(constB79))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9381,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB79) | (~v106(constB79))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9380, 9379])).
% 24.97/16.31 tff(9382,plain,
% 24.97/16.31 (v102(constB79)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9381, 275, 9375])).
% 24.97/16.31 tff(9383,plain,
% 24.97/16.31 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9384,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 24.97/16.31 tff(9385,plain,
% 24.97/16.31 (nextState(constB79, constB80)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9384, 9383])).
% 24.97/16.31 tff(9386,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9387,plain,
% 24.97/16.31 (((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80)) <=> ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9388,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))))),
% 24.97/16.31 inference(monotonicity,[status(thm)],[9387])).
% 24.97/16.31 tff(9389,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 24.97/16.31 inference(transitivity,[status(thm)],[9388, 9386])).
% 24.97/16.31 tff(9390,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9391,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9390, 9389])).
% 24.97/16.31 tff(9392,plain,
% 24.97/16.31 (v104(constB80) | (~v102(constB79))),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9391, 295, 9385])).
% 24.97/16.31 tff(9393,plain,
% 24.97/16.31 (v104(constB80)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9392, 9382])).
% 24.97/16.31 tff(9394,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9395,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9396,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9395, 9394])).
% 24.97/16.31 tff(9397,plain,
% 24.97/16.31 (~v98(constB80)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9396, 313, 9385, 9251])).
% 24.97/16.31 tff(9398,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9399,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9400,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9399, 9398])).
% 24.97/16.31 tff(9401,plain,
% 24.97/16.31 (v96(constB80) | v98(constB80)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9400, 327, 9385])).
% 24.97/16.31 tff(9402,plain,
% 24.97/16.31 (v96(constB80)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9401, 9397])).
% 24.97/16.31 tff(9403,plain,
% 24.97/16.31 (v1(constB80) <=> v1(constB80)),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9404,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 24.97/16.31 tff(9405,plain,
% 24.97/16.31 (v1(constB80)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9404, 9403])).
% 24.97/16.31 tff(9406,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9407,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9408,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9407, 9406])).
% 24.97/16.31 tff(9409,plain,
% 24.97/16.31 (v95(constB80) | (~v96(constB80))),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9408, 345, 9385, 9405])).
% 24.97/16.31 tff(9410,plain,
% 24.97/16.31 (v95(constB80)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9409, 9402])).
% 24.97/16.31 tff(9411,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9412,plain,
% 24.97/16.31 (((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80)) <=> ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9413,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80))))),
% 24.97/16.31 inference(monotonicity,[status(thm)],[9412])).
% 24.97/16.31 tff(9414,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80)))),
% 24.97/16.31 inference(transitivity,[status(thm)],[9413, 9411])).
% 24.97/16.31 tff(9415,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9416,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | v94(constB80) | (~v95(constB80)) | (~v104(constB80))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9415, 9414])).
% 24.97/16.31 tff(9417,plain,
% 24.97/16.31 (v94(constB80) | (~v95(constB80)) | (~v104(constB80))),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9416, 360, 9385])).
% 24.97/16.31 tff(9418,plain,
% 24.97/16.31 (v94(constB80) | (~v104(constB80))),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9417, 9410])).
% 24.97/16.31 tff(9419,plain,
% 24.97/16.31 (v94(constB80)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9418, 9393])).
% 24.97/16.31 tff(9420,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB79)) | v124(constB79, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB79)) | v124(constB79, bitIndex2))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9421,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB79)) | v124(constB79, bitIndex2))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9422,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB79)) | v124(constB79, bitIndex2)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9421, 9420])).
% 24.97/16.31 tff(9423,plain,
% 24.97/16.31 (v124(constB79, bitIndex2)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9422, 1273, 9341])).
% 24.97/16.31 tff(9424,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB79) | (~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB79) | (~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9425,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB79) | (~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9426,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB79) | (~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9425, 9424])).
% 24.97/16.31 tff(9427,plain,
% 24.97/16.31 ((~v124(constB79, bitIndex2)) | v121(constB79, bitIndex2)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9426, 1287, 9367])).
% 24.97/16.31 tff(9428,plain,
% 24.97/16.31 (v121(constB79, bitIndex2)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9427, 9423])).
% 24.97/16.31 tff(9429,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9430,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB79, constB80)) | (~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9431,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB79, constB80)) | (~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9430, 9429])).
% 24.97/16.31 tff(9432,plain,
% 24.97/16.31 ((~v121(constB79, bitIndex2)) | v123(constB80, bitIndex2)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9431, 1302, 9385])).
% 24.97/16.31 tff(9433,plain,
% 24.97/16.31 (v123(constB80, bitIndex2)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9432, 9428])).
% 24.97/16.31 tff(9434,plain,
% 24.97/16.31 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9435,plain,
% 24.97/16.31 ((v84(constB80, bitIndex2) | (~v94(constB80)) | (~v123(constB80, bitIndex2))) <=> (v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9436,plain,
% 24.97/16.31 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v94(constB80)) | (~v123(constB80, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80))))),
% 24.97/16.31 inference(monotonicity,[status(thm)],[9435])).
% 24.97/16.31 tff(9437,plain,
% 24.97/16.31 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v94(constB80)) | (~v123(constB80, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80)))),
% 24.97/16.31 inference(transitivity,[status(thm)],[9436, 9434])).
% 24.97/16.31 tff(9438,plain,
% 24.97/16.31 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB80, bitIndex2) | (~v94(constB80)) | (~v123(constB80, bitIndex2)))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9439,plain,
% 24.97/16.31 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2)) | (~v94(constB80))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9438, 9437])).
% 24.97/16.31 tff(9440,plain,
% 24.97/16.31 (v84(constB80, bitIndex2) | (~v94(constB80))),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9439, 1317, 9433])).
% 24.97/16.31 tff(9441,plain,
% 24.97/16.31 (v84(constB80, bitIndex2)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9440, 9419])).
% 24.97/16.31 tff(9442,plain,
% 24.97/16.31 ((~v1(constB81)) <=> (~v1(constB81))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9443,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 24.97/16.31 tff(9444,plain,
% 24.97/16.31 (~v1(constB81)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9443, 9442])).
% 24.97/16.31 tff(9445,plain,
% 24.97/16.31 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9446,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 24.97/16.31 tff(9447,plain,
% 24.97/16.31 (nextState(constB80, constB81)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9446, 9445])).
% 24.97/16.31 tff(9448,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9449,plain,
% 24.97/16.31 (((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9450,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))))),
% 24.97/16.31 inference(monotonicity,[status(thm)],[9449])).
% 24.97/16.31 tff(9451,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 24.97/16.31 inference(transitivity,[status(thm)],[9450, 9448])).
% 24.97/16.31 tff(9452,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9453,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 24.97/16.31 tff(9454,plain,
% 24.97/16.31 (~v95(constB81)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9453, 73, 9447, 9444])).
% 24.97/16.31 tff(9455,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9456,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9457,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 24.97/16.31 tff(9458,plain,
% 24.97/16.31 (v95(constB81) | (~v94(constB81))),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9457, 90, 9447])).
% 24.97/16.31 tff(9459,plain,
% 24.97/16.31 (~v94(constB81)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9458, 9454])).
% 24.97/16.31 tff(9460,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9461,plain,
% 24.97/16.31 (((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2)) <=> ((~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9462,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2)))),
% 24.97/16.31 inference(monotonicity,[status(thm)],[9461])).
% 24.97/16.31 tff(9463,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2))),
% 24.97/16.31 inference(transitivity,[status(thm)],[9462, 9460])).
% 24.97/16.31 tff(9464,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB80, constB81)) | (~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9465,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB80, bitIndex2)) | (~nextState(constB80, constB81)) | v94(constB81) | v84(constB81, bitIndex2)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9464, 9463])).
% 24.97/16.31 tff(9466,plain,
% 24.97/16.31 ((~v84(constB80, bitIndex2)) | v94(constB81) | v84(constB81, bitIndex2)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9465, 1353, 9447])).
% 24.97/16.31 tff(9467,plain,
% 24.97/16.31 ((~v84(constB80, bitIndex2)) | v84(constB81, bitIndex2)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9466, 9459])).
% 24.97/16.31 tff(9468,plain,
% 24.97/16.31 (v84(constB81, bitIndex2)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9467, 9441])).
% 24.97/16.31 tff(9469,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB79)) | (~v124(constB79, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB79)) | (~v124(constB79, bitIndex1)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9470,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB79)) | (~v124(constB79, bitIndex1)))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9471,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB79)) | (~v124(constB79, bitIndex1))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9470, 9469])).
% 24.97/16.31 tff(9472,plain,
% 24.97/16.31 (~v124(constB79, bitIndex1)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9471, 1369, 9341])).
% 24.97/16.31 tff(9473,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9474,plain,
% 24.97/16.31 ((v26(constB79) | v124(constB79, bitIndex1) | (~v121(constB79, bitIndex1))) <=> ((~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9475,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB79) | v124(constB79, bitIndex1) | (~v121(constB79, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1)))),
% 24.97/16.31 inference(monotonicity,[status(thm)],[9474])).
% 24.97/16.31 tff(9476,plain,
% 24.97/16.31 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB79) | v124(constB79, bitIndex1) | (~v121(constB79, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1))),
% 24.97/16.31 inference(transitivity,[status(thm)],[9475, 9473])).
% 24.97/16.31 tff(9477,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB79) | v124(constB79, bitIndex1) | (~v121(constB79, bitIndex1)))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9478,plain,
% 24.97/16.31 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB79, bitIndex1)) | v26(constB79) | v124(constB79, bitIndex1)),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9477, 9476])).
% 24.97/16.31 tff(9479,plain,
% 24.97/16.31 ((~v121(constB79, bitIndex1)) | v124(constB79, bitIndex1)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9478, 476, 9367])).
% 24.97/16.31 tff(9480,plain,
% 24.97/16.31 (~v121(constB79, bitIndex1)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9479, 9472])).
% 24.97/16.31 tff(9481,plain,
% 24.97/16.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1)))),
% 24.97/16.31 inference(rewrite,[status(thm)],[])).
% 24.97/16.31 tff(9482,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1)))),
% 24.97/16.31 inference(quant_inst,[status(thm)],[])).
% 24.97/16.31 tff(9483,plain,
% 24.97/16.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1))),
% 24.97/16.31 inference(modus_ponens,[status(thm)],[9482, 9481])).
% 24.97/16.31 tff(9484,plain,
% 24.97/16.31 (v121(constB79, bitIndex1) | (~v123(constB80, bitIndex1))),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9483, 494, 9385])).
% 24.97/16.31 tff(9485,plain,
% 24.97/16.31 (~v123(constB80, bitIndex1)),
% 24.97/16.31 inference(unit_resolution,[status(thm)],[9484, 9480])).
% 24.97/16.31 tff(9486,plain,
% 24.97/16.31 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9487,plain,
% 24.97/16.32 (((~v84(constB80, bitIndex1)) | (~v94(constB80)) | v123(constB80, bitIndex1)) <=> ((~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9488,plain,
% 24.97/16.32 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~v94(constB80)) | v123(constB80, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80))))),
% 24.97/16.32 inference(monotonicity,[status(thm)],[9487])).
% 24.97/16.32 tff(9489,plain,
% 24.97/16.32 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~v94(constB80)) | v123(constB80, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80)))),
% 24.97/16.32 inference(transitivity,[status(thm)],[9488, 9486])).
% 24.97/16.32 tff(9490,plain,
% 24.97/16.32 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB80, bitIndex1)) | (~v94(constB80)) | v123(constB80, bitIndex1))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9491,plain,
% 24.97/16.32 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1) | (~v94(constB80))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9490, 9489])).
% 24.97/16.32 tff(9492,plain,
% 24.97/16.32 ((~v84(constB80, bitIndex1)) | (~v94(constB80))),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9491, 509, 9485])).
% 24.97/16.32 tff(9493,plain,
% 24.97/16.32 (~v84(constB80, bitIndex1)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9492, 9419])).
% 24.97/16.32 tff(9494,plain,
% 24.97/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9495,plain,
% 24.97/16.32 (((~nextState(constB80, constB81)) | v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1))) <=> (v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9496,plain,
% 24.97/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1))))),
% 24.97/16.32 inference(monotonicity,[status(thm)],[9495])).
% 24.97/16.32 tff(9497,plain,
% 24.97/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1)))),
% 24.97/16.32 inference(transitivity,[status(thm)],[9496, 9494])).
% 24.97/16.32 tff(9498,plain,
% 24.97/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1)))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9499,plain,
% 24.97/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB80, bitIndex1) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex1))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9498, 9497])).
% 24.97/16.32 tff(9500,plain,
% 24.97/16.32 (v84(constB80, bitIndex1) | v94(constB81) | (~v84(constB81, bitIndex1))),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9499, 126, 9447])).
% 24.97/16.32 tff(9501,plain,
% 24.97/16.32 (v84(constB80, bitIndex1) | (~v84(constB81, bitIndex1))),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9500, 9459])).
% 24.97/16.32 tff(9502,plain,
% 24.97/16.32 (~v84(constB81, bitIndex1)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9501, 9493])).
% 24.97/16.32 tff(9503,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB79)) | (~v124(constB79, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB79)) | (~v124(constB79, bitIndex0)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9504,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB79)) | (~v124(constB79, bitIndex0)))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9505,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB79)) | (~v124(constB79, bitIndex0))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9504, 9503])).
% 24.97/16.32 tff(9506,plain,
% 24.97/16.32 (~v124(constB79, bitIndex0)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9505, 1410, 9341])).
% 24.97/16.32 tff(9507,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9508,plain,
% 24.97/16.32 ((v26(constB79) | v124(constB79, bitIndex0) | (~v121(constB79, bitIndex0))) <=> ((~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9509,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB79) | v124(constB79, bitIndex0) | (~v121(constB79, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0)))),
% 24.97/16.32 inference(monotonicity,[status(thm)],[9508])).
% 24.97/16.32 tff(9510,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB79) | v124(constB79, bitIndex0) | (~v121(constB79, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0))),
% 24.97/16.32 inference(transitivity,[status(thm)],[9509, 9507])).
% 24.97/16.32 tff(9511,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB79) | v124(constB79, bitIndex0) | (~v121(constB79, bitIndex0)))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9512,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB79, bitIndex0)) | v26(constB79) | v124(constB79, bitIndex0)),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9511, 9510])).
% 24.97/16.32 tff(9513,plain,
% 24.97/16.32 ((~v121(constB79, bitIndex0)) | v124(constB79, bitIndex0)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9512, 890, 9367])).
% 24.97/16.32 tff(9514,plain,
% 24.97/16.32 (~v121(constB79, bitIndex0)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9513, 9506])).
% 24.97/16.32 tff(9515,plain,
% 24.97/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9516,plain,
% 24.97/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB79, constB80)) | v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0)))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9517,plain,
% 24.97/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB79, constB80)) | v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 24.97/16.32 tff(9518,plain,
% 24.97/16.32 (v121(constB79, bitIndex0) | (~v123(constB80, bitIndex0))),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9517, 908, 9385])).
% 24.97/16.32 tff(9519,plain,
% 24.97/16.32 (~v123(constB80, bitIndex0)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9518, 9514])).
% 24.97/16.32 tff(9520,plain,
% 24.97/16.32 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9521,plain,
% 24.97/16.32 (((~v84(constB80, bitIndex0)) | (~v94(constB80)) | v123(constB80, bitIndex0)) <=> ((~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9522,plain,
% 24.97/16.32 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~v94(constB80)) | v123(constB80, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80))))),
% 24.97/16.32 inference(monotonicity,[status(thm)],[9521])).
% 24.97/16.32 tff(9523,plain,
% 24.97/16.32 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~v94(constB80)) | v123(constB80, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80)))),
% 24.97/16.32 inference(transitivity,[status(thm)],[9522, 9520])).
% 24.97/16.32 tff(9524,plain,
% 24.97/16.32 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB80, bitIndex0)) | (~v94(constB80)) | v123(constB80, bitIndex0))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9525,plain,
% 24.97/16.32 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0) | (~v94(constB80))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9524, 9523])).
% 24.97/16.32 tff(9526,plain,
% 24.97/16.32 ((~v84(constB80, bitIndex0)) | (~v94(constB80))),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9525, 923, 9519])).
% 24.97/16.32 tff(9527,plain,
% 24.97/16.32 (~v84(constB80, bitIndex0)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9526, 9419])).
% 24.97/16.32 tff(9528,plain,
% 24.97/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9529,plain,
% 24.97/16.32 (((~nextState(constB80, constB81)) | v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0))) <=> (v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9530,plain,
% 24.97/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0))))),
% 24.97/16.32 inference(monotonicity,[status(thm)],[9529])).
% 24.97/16.32 tff(9531,plain,
% 24.97/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0)))),
% 24.97/16.32 inference(transitivity,[status(thm)],[9530, 9528])).
% 24.97/16.32 tff(9532,plain,
% 24.97/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB80, constB81)) | v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0)))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9533,plain,
% 24.97/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB80, bitIndex0) | (~nextState(constB80, constB81)) | v94(constB81) | (~v84(constB81, bitIndex0))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9532, 9531])).
% 24.97/16.32 tff(9534,plain,
% 24.97/16.32 (v84(constB80, bitIndex0) | v94(constB81) | (~v84(constB81, bitIndex0))),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9533, 147, 9447])).
% 24.97/16.32 tff(9535,plain,
% 24.97/16.32 (v84(constB80, bitIndex0) | (~v84(constB81, bitIndex0))),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9534, 9459])).
% 24.97/16.32 tff(9536,plain,
% 24.97/16.32 (~v84(constB81, bitIndex0)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9535, 9527])).
% 24.97/16.32 tff(9537,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9538,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9539,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81)),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9538, 9537])).
% 24.97/16.32 tff(9540,plain,
% 24.97/16.32 (v172(constB81)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9539, 1454, 9536, 9502, 9468])).
% 24.97/16.32 tff(9541,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB81) | (~v172(constB81)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB81) | (~v172(constB81)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9542,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB81) | (~v172(constB81)))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9543,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB81) | (~v172(constB81))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9542, 9541])).
% 24.97/16.32 tff(9544,plain,
% 24.97/16.32 (v109(constB81)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9543, 1468, 9540])).
% 24.97/16.32 tff(9545,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB81)) | v108(constB81))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB81)) | v108(constB81))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9546,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB81)) | v108(constB81))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9547,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB81)) | v108(constB81)),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9546, 9545])).
% 24.97/16.32 tff(9548,plain,
% 24.97/16.32 (v108(constB81)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9547, 235, 9544])).
% 24.97/16.32 tff(9549,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB81) | (~v108(constB81)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB81) | (~v108(constB81)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9550,plain,
% 24.97/16.32 (((~v108(constB81)) | v107(constB81)) <=> (v107(constB81) | (~v108(constB81)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9551,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB81)) | v107(constB81))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB81) | (~v108(constB81))))),
% 24.97/16.32 inference(monotonicity,[status(thm)],[9550])).
% 24.97/16.32 tff(9552,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB81)) | v107(constB81))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB81) | (~v108(constB81)))),
% 24.97/16.32 inference(transitivity,[status(thm)],[9551, 9549])).
% 24.97/16.32 tff(9553,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB81)) | v107(constB81))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9554,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB81) | (~v108(constB81))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9553, 9552])).
% 24.97/16.32 tff(9555,plain,
% 24.97/16.32 (v107(constB81)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9554, 249, 9548])).
% 24.97/16.32 tff(9556,assumption,(v26(constB81)), introduced(assumption)).
% 24.97/16.32 tff(9557,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB81))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9558,plain,
% 24.97/16.32 ($false),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9557, 18, 9556])).
% 24.97/16.32 tff(9559,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 24.97/16.32 tff(9560,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9561,plain,
% 24.97/16.32 ((v26(constB81) | (~v107(constB81)) | v106(constB81)) <=> (v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9562,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81))))),
% 24.97/16.32 inference(monotonicity,[status(thm)],[9561])).
% 24.97/16.32 tff(9563,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 24.97/16.32 inference(transitivity,[status(thm)],[9562, 9560])).
% 24.97/16.32 tff(9564,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9565,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9564, 9563])).
% 24.97/16.32 tff(9566,plain,
% 24.97/16.32 (v106(constB81) | (~v107(constB81))),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9565, 263, 9559])).
% 24.97/16.32 tff(9567,plain,
% 24.97/16.32 (v106(constB81)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9566, 9555])).
% 24.97/16.32 tff(9568,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB81) | (~v106(constB81)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB81) | (~v106(constB81)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9569,plain,
% 24.97/16.32 (((~v106(constB81)) | v102(constB81)) <=> (v102(constB81) | (~v106(constB81)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9570,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB81)) | v102(constB81))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB81) | (~v106(constB81))))),
% 24.97/16.32 inference(monotonicity,[status(thm)],[9569])).
% 24.97/16.32 tff(9571,plain,
% 24.97/16.32 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB81)) | v102(constB81))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB81) | (~v106(constB81)))),
% 24.97/16.32 inference(transitivity,[status(thm)],[9570, 9568])).
% 24.97/16.32 tff(9572,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB81)) | v102(constB81))),
% 24.97/16.32 inference(quant_inst,[status(thm)],[])).
% 24.97/16.32 tff(9573,plain,
% 24.97/16.32 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB81) | (~v106(constB81))),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 24.97/16.32 tff(9574,plain,
% 24.97/16.32 (v102(constB81)),
% 24.97/16.32 inference(unit_resolution,[status(thm)],[9573, 275, 9567])).
% 24.97/16.32 tff(9575,plain,
% 24.97/16.32 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9576,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 24.97/16.32 tff(9577,plain,
% 24.97/16.32 (nextState(constB81, constB82)),
% 24.97/16.32 inference(modus_ponens,[status(thm)],[9576, 9575])).
% 24.97/16.32 tff(9578,plain,
% 24.97/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9579,plain,
% 24.97/16.32 (((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82)) <=> ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 24.97/16.32 inference(rewrite,[status(thm)],[])).
% 24.97/16.32 tff(9580,plain,
% 24.97/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))))),
% 24.97/16.32 inference(monotonicity,[status(thm)],[9579])).
% 25.01/16.32 tff(9581,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 25.01/16.32 inference(transitivity,[status(thm)],[9580, 9578])).
% 25.01/16.32 tff(9582,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9583,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9582, 9581])).
% 25.01/16.32 tff(9584,plain,
% 25.01/16.32 (v104(constB82) | (~v102(constB81))),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9583, 295, 9577])).
% 25.01/16.32 tff(9585,plain,
% 25.01/16.32 (v104(constB82)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9584, 9574])).
% 25.01/16.32 tff(9586,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9587,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9588,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82))),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9587, 9586])).
% 25.01/16.32 tff(9589,plain,
% 25.01/16.32 (~v98(constB82)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9588, 313, 9577, 9444])).
% 25.01/16.32 tff(9590,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9591,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9592,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82)),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9591, 9590])).
% 25.01/16.32 tff(9593,plain,
% 25.01/16.32 (v96(constB82) | v98(constB82)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9592, 327, 9577])).
% 25.01/16.32 tff(9594,plain,
% 25.01/16.32 (v96(constB82)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9593, 9589])).
% 25.01/16.32 tff(9595,plain,
% 25.01/16.32 (v1(constB82) <=> v1(constB82)),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9596,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 25.01/16.32 tff(9597,plain,
% 25.01/16.32 (v1(constB82)),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9596, 9595])).
% 25.01/16.32 tff(9598,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9599,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9600,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82))),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9599, 9598])).
% 25.01/16.32 tff(9601,plain,
% 25.01/16.32 (v95(constB82) | (~v96(constB82))),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9600, 345, 9577, 9597])).
% 25.01/16.32 tff(9602,plain,
% 25.01/16.32 (v95(constB82)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9601, 9594])).
% 25.01/16.32 tff(9603,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9604,plain,
% 25.01/16.32 (((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82)) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9605,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82))))),
% 25.01/16.32 inference(monotonicity,[status(thm)],[9604])).
% 25.01/16.32 tff(9606,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82)))),
% 25.01/16.32 inference(transitivity,[status(thm)],[9605, 9603])).
% 25.01/16.32 tff(9607,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9608,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | v94(constB82) | (~v95(constB82)) | (~v104(constB82))),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 25.01/16.32 tff(9609,plain,
% 25.01/16.32 (v94(constB82) | (~v95(constB82)) | (~v104(constB82))),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9608, 360, 9577])).
% 25.01/16.32 tff(9610,plain,
% 25.01/16.32 (v94(constB82) | (~v104(constB82))),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9609, 9602])).
% 25.01/16.32 tff(9611,plain,
% 25.01/16.32 (v94(constB82)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9610, 9585])).
% 25.01/16.32 tff(9612,plain,
% 25.01/16.32 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB81)) | v124(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB81)) | v124(constB81, bitIndex2))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9613,plain,
% 25.01/16.32 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB81)) | v124(constB81, bitIndex2))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9614,plain,
% 25.01/16.32 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB81)) | v124(constB81, bitIndex2)),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9613, 9612])).
% 25.01/16.32 tff(9615,plain,
% 25.01/16.32 (v124(constB81, bitIndex2)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9614, 1539, 9540])).
% 25.01/16.32 tff(9616,plain,
% 25.01/16.32 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9617,plain,
% 25.01/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9618,plain,
% 25.01/16.32 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB81) | (~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2)),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9617, 9616])).
% 25.01/16.32 tff(9619,plain,
% 25.01/16.32 ((~v124(constB81, bitIndex2)) | v121(constB81, bitIndex2)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9618, 1287, 9559])).
% 25.01/16.32 tff(9620,plain,
% 25.01/16.32 (v121(constB81, bitIndex2)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9619, 9615])).
% 25.01/16.32 tff(9621,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9622,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9623,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2)),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 25.01/16.32 tff(9624,plain,
% 25.01/16.32 ((~v121(constB81, bitIndex2)) | v123(constB82, bitIndex2)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9623, 1302, 9577])).
% 25.01/16.32 tff(9625,plain,
% 25.01/16.32 (v123(constB82, bitIndex2)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9624, 9620])).
% 25.01/16.32 tff(9626,plain,
% 25.01/16.32 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9627,plain,
% 25.01/16.32 ((v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2))) <=> (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9628,plain,
% 25.01/16.32 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82))))),
% 25.01/16.32 inference(monotonicity,[status(thm)],[9627])).
% 25.01/16.32 tff(9629,plain,
% 25.01/16.32 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82)))),
% 25.01/16.32 inference(transitivity,[status(thm)],[9628, 9626])).
% 25.01/16.32 tff(9630,plain,
% 25.01/16.32 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB82, bitIndex2) | (~v94(constB82)) | (~v123(constB82, bitIndex2)))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9631,plain,
% 25.01/16.32 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2)) | (~v94(constB82))),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 25.01/16.32 tff(9632,plain,
% 25.01/16.32 (v84(constB82, bitIndex2) | (~v94(constB82))),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9631, 1317, 9625])).
% 25.01/16.32 tff(9633,plain,
% 25.01/16.32 (v84(constB82, bitIndex2)),
% 25.01/16.32 inference(unit_resolution,[status(thm)],[9632, 9611])).
% 25.01/16.32 tff(9634,plain,
% 25.01/16.32 ((~v1(constB83)) <=> (~v1(constB83))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9635,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 25.01/16.32 tff(9636,plain,
% 25.01/16.32 (~v1(constB83)),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 25.01/16.32 tff(9637,plain,
% 25.01/16.32 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9638,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 25.01/16.32 tff(9639,plain,
% 25.01/16.32 (nextState(constB82, constB83)),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9638, 9637])).
% 25.01/16.32 tff(9640,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9641,plain,
% 25.01/16.32 (((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 25.01/16.32 inference(rewrite,[status(thm)],[])).
% 25.01/16.32 tff(9642,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))))),
% 25.01/16.32 inference(monotonicity,[status(thm)],[9641])).
% 25.01/16.32 tff(9643,plain,
% 25.01/16.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 25.01/16.32 inference(transitivity,[status(thm)],[9642, 9640])).
% 25.01/16.32 tff(9644,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))),
% 25.01/16.32 inference(quant_inst,[status(thm)],[])).
% 25.01/16.32 tff(9645,plain,
% 25.01/16.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))),
% 25.01/16.32 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 25.01/16.32 tff(9646,plain,
% 25.01/16.32 (~v95(constB83)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9645, 73, 9639, 9636])).
% 25.01/16.33 tff(9647,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9648,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9649,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83))),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9648, 9647])).
% 25.01/16.33 tff(9650,plain,
% 25.01/16.33 (v95(constB83) | (~v94(constB83))),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9649, 90, 9639])).
% 25.01/16.33 tff(9651,plain,
% 25.01/16.33 (~v94(constB83)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9650, 9646])).
% 25.01/16.33 tff(9652,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9653,plain,
% 25.01/16.33 (((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2)) <=> ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9654,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2)))),
% 25.01/16.33 inference(monotonicity,[status(thm)],[9653])).
% 25.01/16.33 tff(9655,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2))),
% 25.01/16.33 inference(transitivity,[status(thm)],[9654, 9652])).
% 25.01/16.33 tff(9656,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9657,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB82, bitIndex2)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex2)),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9656, 9655])).
% 25.01/16.33 tff(9658,plain,
% 25.01/16.33 ((~v84(constB82, bitIndex2)) | v94(constB83) | v84(constB83, bitIndex2)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9657, 1353, 9639])).
% 25.01/16.33 tff(9659,plain,
% 25.01/16.33 ((~v84(constB82, bitIndex2)) | v84(constB83, bitIndex2)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9658, 9651])).
% 25.01/16.33 tff(9660,plain,
% 25.01/16.33 (v84(constB83, bitIndex2)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9659, 9633])).
% 25.01/16.33 tff(9661,plain,
% 25.01/16.33 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB81)) | (~v124(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB81)) | (~v124(constB81, bitIndex1)))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9662,plain,
% 25.01/16.33 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB81)) | (~v124(constB81, bitIndex1)))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9663,plain,
% 25.01/16.33 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB81)) | (~v124(constB81, bitIndex1))),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9662, 9661])).
% 25.01/16.33 tff(9664,plain,
% 25.01/16.33 (~v124(constB81, bitIndex1)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9663, 1595, 9540])).
% 25.01/16.33 tff(9665,plain,
% 25.01/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9666,plain,
% 25.01/16.33 ((v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1))) <=> ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9667,plain,
% 25.01/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1)))),
% 25.01/16.33 inference(monotonicity,[status(thm)],[9666])).
% 25.01/16.33 tff(9668,plain,
% 25.01/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1))),
% 25.01/16.33 inference(transitivity,[status(thm)],[9667, 9665])).
% 25.01/16.33 tff(9669,plain,
% 25.01/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB81) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9670,plain,
% 25.01/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB81, bitIndex1)) | v26(constB81) | v124(constB81, bitIndex1)),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9669, 9668])).
% 25.01/16.33 tff(9671,plain,
% 25.01/16.33 ((~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9670, 476, 9559])).
% 25.01/16.33 tff(9672,plain,
% 25.01/16.33 (~v121(constB81, bitIndex1)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9671, 9664])).
% 25.01/16.33 tff(9673,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9674,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1)))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9675,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB81, constB82)) | v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1))),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9674, 9673])).
% 25.01/16.33 tff(9676,plain,
% 25.01/16.33 (v121(constB81, bitIndex1) | (~v123(constB82, bitIndex1))),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9675, 494, 9577])).
% 25.01/16.33 tff(9677,plain,
% 25.01/16.33 (~v123(constB82, bitIndex1)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9676, 9672])).
% 25.01/16.33 tff(9678,plain,
% 25.01/16.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9679,plain,
% 25.01/16.33 (((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1)) <=> ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9680,plain,
% 25.01/16.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82))))),
% 25.01/16.33 inference(monotonicity,[status(thm)],[9679])).
% 25.01/16.33 tff(9681,plain,
% 25.01/16.33 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82)))),
% 25.01/16.33 inference(transitivity,[status(thm)],[9680, 9678])).
% 25.01/16.33 tff(9682,plain,
% 25.01/16.33 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB82, bitIndex1)) | (~v94(constB82)) | v123(constB82, bitIndex1))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9683,plain,
% 25.01/16.33 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1) | (~v94(constB82))),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9682, 9681])).
% 25.01/16.33 tff(9684,plain,
% 25.01/16.33 ((~v84(constB82, bitIndex1)) | (~v94(constB82))),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9683, 509, 9677])).
% 25.01/16.33 tff(9685,plain,
% 25.01/16.33 (~v84(constB82, bitIndex1)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9684, 9611])).
% 25.01/16.33 tff(9686,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9687,plain,
% 25.01/16.33 (((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1))) <=> (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9688,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1))))),
% 25.01/16.33 inference(monotonicity,[status(thm)],[9687])).
% 25.01/16.33 tff(9689,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 25.01/16.33 inference(transitivity,[status(thm)],[9688, 9686])).
% 25.01/16.33 tff(9690,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB82, constB83)) | v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1)))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9691,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB82, bitIndex1) | (~nextState(constB82, constB83)) | v94(constB83) | (~v84(constB83, bitIndex1))),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9690, 9689])).
% 25.01/16.33 tff(9692,plain,
% 25.01/16.33 (v84(constB82, bitIndex1) | v94(constB83) | (~v84(constB83, bitIndex1))),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9691, 126, 9639])).
% 25.01/16.33 tff(9693,plain,
% 25.01/16.33 (v84(constB82, bitIndex1) | (~v84(constB83, bitIndex1))),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9692, 9651])).
% 25.01/16.33 tff(9694,plain,
% 25.01/16.33 (~v84(constB83, bitIndex1)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9693, 9685])).
% 25.01/16.33 tff(9695,plain,
% 25.01/16.33 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB81)) | v124(constB81, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB81)) | v124(constB81, bitIndex0))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9696,plain,
% 25.01/16.33 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB81)) | v124(constB81, bitIndex0))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9697,plain,
% 25.01/16.33 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB81)) | v124(constB81, bitIndex0)),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9696, 9695])).
% 25.01/16.33 tff(9698,plain,
% 25.01/16.33 (v124(constB81, bitIndex0)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9697, 1636, 9540])).
% 25.01/16.33 tff(9699,plain,
% 25.01/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB81) | (~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB81) | (~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9700,plain,
% 25.01/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB81) | (~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9701,plain,
% 25.01/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB81) | (~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0)),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9700, 9699])).
% 25.01/16.33 tff(9702,plain,
% 25.01/16.33 ((~v124(constB81, bitIndex0)) | v121(constB81, bitIndex0)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9701, 547, 9559])).
% 25.01/16.33 tff(9703,plain,
% 25.01/16.33 (v121(constB81, bitIndex0)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9702, 9698])).
% 25.01/16.33 tff(9704,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9705,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB81, constB82)) | (~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9706,plain,
% 25.01/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB81, constB82)) | (~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0)),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9705, 9704])).
% 25.01/16.33 tff(9707,plain,
% 25.01/16.33 ((~v121(constB81, bitIndex0)) | v123(constB82, bitIndex0)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9706, 562, 9577])).
% 25.01/16.33 tff(9708,plain,
% 25.01/16.33 (v123(constB82, bitIndex0)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9707, 9703])).
% 25.01/16.33 tff(9709,plain,
% 25.01/16.33 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82)))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9710,plain,
% 25.01/16.33 ((v84(constB82, bitIndex0) | (~v94(constB82)) | (~v123(constB82, bitIndex0))) <=> (v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82)))),
% 25.01/16.33 inference(rewrite,[status(thm)],[])).
% 25.01/16.33 tff(9711,plain,
% 25.01/16.33 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v94(constB82)) | (~v123(constB82, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82))))),
% 25.01/16.33 inference(monotonicity,[status(thm)],[9710])).
% 25.01/16.33 tff(9712,plain,
% 25.01/16.33 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v94(constB82)) | (~v123(constB82, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82)))),
% 25.01/16.33 inference(transitivity,[status(thm)],[9711, 9709])).
% 25.01/16.33 tff(9713,plain,
% 25.01/16.33 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB82, bitIndex0) | (~v94(constB82)) | (~v123(constB82, bitIndex0)))),
% 25.01/16.33 inference(quant_inst,[status(thm)],[])).
% 25.01/16.33 tff(9714,plain,
% 25.01/16.33 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0)) | (~v94(constB82))),
% 25.01/16.33 inference(modus_ponens,[status(thm)],[9713, 9712])).
% 25.01/16.33 tff(9715,plain,
% 25.01/16.33 (v84(constB82, bitIndex0) | (~v94(constB82))),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9714, 577, 9708])).
% 25.01/16.33 tff(9716,plain,
% 25.01/16.33 (v84(constB82, bitIndex0)),
% 25.01/16.33 inference(unit_resolution,[status(thm)],[9715, 9611])).
% 25.01/16.33 tff(9717,plain,
% 25.01/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9718,plain,
% 25.02/16.33 (((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0)) <=> ((~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9719,plain,
% 25.02/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0)))),
% 25.02/16.33 inference(monotonicity,[status(thm)],[9718])).
% 25.02/16.33 tff(9720,plain,
% 25.02/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0))),
% 25.02/16.33 inference(transitivity,[status(thm)],[9719, 9717])).
% 25.02/16.33 tff(9721,plain,
% 25.02/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB82, constB83)) | (~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9722,plain,
% 25.02/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB82, bitIndex0)) | (~nextState(constB82, constB83)) | v94(constB83) | v84(constB83, bitIndex0)),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9721, 9720])).
% 25.02/16.33 tff(9723,plain,
% 25.02/16.33 ((~v84(constB82, bitIndex0)) | v94(constB83) | v84(constB83, bitIndex0)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9722, 595, 9639])).
% 25.02/16.33 tff(9724,plain,
% 25.02/16.33 ((~v84(constB82, bitIndex0)) | v84(constB83, bitIndex0)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9723, 9651])).
% 25.02/16.33 tff(9725,plain,
% 25.02/16.33 (v84(constB83, bitIndex0)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9724, 9716])).
% 25.02/16.33 tff(9726,plain,
% 25.02/16.33 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9727,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9728,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83)),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9727, 9726])).
% 25.02/16.33 tff(9729,plain,
% 25.02/16.33 (v118(constB83)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9728, 1677, 9725, 9694, 9660])).
% 25.02/16.33 tff(9730,plain,
% 25.02/16.33 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB83)) | v108(constB83))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB83)) | v108(constB83))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9731,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB83)) | v108(constB83))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9732,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB83)) | v108(constB83)),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 25.02/16.33 tff(9733,plain,
% 25.02/16.33 (v108(constB83)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9732, 1688, 9729])).
% 25.02/16.33 tff(9734,plain,
% 25.02/16.33 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB83) | (~v108(constB83)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB83) | (~v108(constB83)))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9735,plain,
% 25.02/16.33 (((~v108(constB83)) | v107(constB83)) <=> (v107(constB83) | (~v108(constB83)))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9736,plain,
% 25.02/16.33 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB83)) | v107(constB83))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB83) | (~v108(constB83))))),
% 25.02/16.33 inference(monotonicity,[status(thm)],[9735])).
% 25.02/16.33 tff(9737,plain,
% 25.02/16.33 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB83)) | v107(constB83))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB83) | (~v108(constB83)))),
% 25.02/16.33 inference(transitivity,[status(thm)],[9736, 9734])).
% 25.02/16.33 tff(9738,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB83)) | v107(constB83))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9739,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB83) | (~v108(constB83))),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9738, 9737])).
% 25.02/16.33 tff(9740,plain,
% 25.02/16.33 (v107(constB83)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9739, 249, 9733])).
% 25.02/16.33 tff(9741,assumption,(v26(constB83)), introduced(assumption)).
% 25.02/16.33 tff(9742,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB83))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9743,plain,
% 25.02/16.33 ($false),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9742, 18, 9741])).
% 25.02/16.33 tff(9744,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 25.02/16.33 tff(9745,plain,
% 25.02/16.33 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | (~v107(constB83)) | v106(constB83))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9746,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9747,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | (~v107(constB83)) | v106(constB83)),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9746, 9745])).
% 25.02/16.33 tff(9748,plain,
% 25.02/16.33 ((~v107(constB83)) | v106(constB83)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9747, 263, 9744])).
% 25.02/16.33 tff(9749,plain,
% 25.02/16.33 (v106(constB83)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9748, 9740])).
% 25.02/16.33 tff(9750,plain,
% 25.02/16.33 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB83) | (~v106(constB83)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB83) | (~v106(constB83)))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9751,plain,
% 25.02/16.33 (((~v106(constB83)) | v102(constB83)) <=> (v102(constB83) | (~v106(constB83)))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9752,plain,
% 25.02/16.33 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB83)) | v102(constB83))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB83) | (~v106(constB83))))),
% 25.02/16.33 inference(monotonicity,[status(thm)],[9751])).
% 25.02/16.33 tff(9753,plain,
% 25.02/16.33 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB83)) | v102(constB83))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB83) | (~v106(constB83)))),
% 25.02/16.33 inference(transitivity,[status(thm)],[9752, 9750])).
% 25.02/16.33 tff(9754,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB83)) | v102(constB83))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9755,plain,
% 25.02/16.33 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB83) | (~v106(constB83))),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9754, 9753])).
% 25.02/16.33 tff(9756,plain,
% 25.02/16.33 (v102(constB83)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9755, 275, 9749])).
% 25.02/16.33 tff(9757,plain,
% 25.02/16.33 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9758,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 25.02/16.33 tff(9759,plain,
% 25.02/16.33 (nextState(constB83, constB84)),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9758, 9757])).
% 25.02/16.33 tff(9760,plain,
% 25.02/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9761,plain,
% 25.02/16.33 (((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84)) <=> ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9762,plain,
% 25.02/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))))),
% 25.02/16.33 inference(monotonicity,[status(thm)],[9761])).
% 25.02/16.33 tff(9763,plain,
% 25.02/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 25.02/16.33 inference(transitivity,[status(thm)],[9762, 9760])).
% 25.02/16.33 tff(9764,plain,
% 25.02/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9765,plain,
% 25.02/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9764, 9763])).
% 25.02/16.33 tff(9766,plain,
% 25.02/16.33 (v104(constB84) | (~v102(constB83))),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9765, 295, 9759])).
% 25.02/16.33 tff(9767,plain,
% 25.02/16.33 (v104(constB84)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9766, 9756])).
% 25.02/16.33 tff(9768,plain,
% 25.02/16.33 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9769,plain,
% 25.02/16.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9770,plain,
% 25.02/16.33 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84))),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9769, 9768])).
% 25.02/16.33 tff(9771,plain,
% 25.02/16.33 (~v98(constB84)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9770, 313, 9759, 9636])).
% 25.02/16.33 tff(9772,plain,
% 25.02/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9773,plain,
% 25.02/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 25.02/16.33 inference(quant_inst,[status(thm)],[])).
% 25.02/16.33 tff(9774,plain,
% 25.02/16.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84)),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 25.02/16.33 tff(9775,plain,
% 25.02/16.33 (v96(constB84) | v98(constB84)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9774, 327, 9759])).
% 25.02/16.33 tff(9776,plain,
% 25.02/16.33 (v96(constB84)),
% 25.02/16.33 inference(unit_resolution,[status(thm)],[9775, 9771])).
% 25.02/16.33 tff(9777,plain,
% 25.02/16.33 (v1(constB84) <=> v1(constB84)),
% 25.02/16.33 inference(rewrite,[status(thm)],[])).
% 25.02/16.33 tff(9778,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 25.02/16.33 tff(9779,plain,
% 25.02/16.33 (v1(constB84)),
% 25.02/16.33 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 25.02/16.33 tff(9780,plain,
% 25.02/16.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9781,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9782,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84))),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9781, 9780])).
% 25.02/16.34 tff(9783,plain,
% 25.02/16.34 (v95(constB84) | (~v96(constB84))),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9782, 345, 9759, 9779])).
% 25.02/16.34 tff(9784,plain,
% 25.02/16.34 (v95(constB84)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9783, 9776])).
% 25.02/16.34 tff(9785,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9786,plain,
% 25.02/16.34 (((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84)) <=> ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9787,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84))))),
% 25.02/16.34 inference(monotonicity,[status(thm)],[9786])).
% 25.02/16.34 tff(9788,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84)))),
% 25.02/16.34 inference(transitivity,[status(thm)],[9787, 9785])).
% 25.02/16.34 tff(9789,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9790,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | v94(constB84) | (~v95(constB84)) | (~v104(constB84))),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 25.02/16.34 tff(9791,plain,
% 25.02/16.34 (v94(constB84) | (~v95(constB84)) | (~v104(constB84))),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9790, 360, 9759])).
% 25.02/16.34 tff(9792,plain,
% 25.02/16.34 (v94(constB84) | (~v104(constB84))),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9791, 9784])).
% 25.02/16.34 tff(9793,plain,
% 25.02/16.34 (v94(constB84)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9792, 9767])).
% 25.02/16.34 tff(9794,plain,
% 25.02/16.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB83)) | v124(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB83)) | v124(constB83, bitIndex2))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9795,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB83)) | v124(constB83, bitIndex2))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9796,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB83)) | v124(constB83, bitIndex2)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9795, 9794])).
% 25.02/16.34 tff(9797,plain,
% 25.02/16.34 (v124(constB83, bitIndex2)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9796, 1761, 9729])).
% 25.02/16.34 tff(9798,plain,
% 25.02/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9799,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9800,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB83) | (~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9799, 9798])).
% 25.02/16.34 tff(9801,plain,
% 25.02/16.34 ((~v124(constB83, bitIndex2)) | v121(constB83, bitIndex2)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9800, 1287, 9744])).
% 25.02/16.34 tff(9802,plain,
% 25.02/16.34 (v121(constB83, bitIndex2)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9801, 9797])).
% 25.02/16.34 tff(9803,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9804,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9805,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9804, 9803])).
% 25.02/16.34 tff(9806,plain,
% 25.02/16.34 ((~v121(constB83, bitIndex2)) | v123(constB84, bitIndex2)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9805, 1302, 9759])).
% 25.02/16.34 tff(9807,plain,
% 25.02/16.34 (v123(constB84, bitIndex2)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9806, 9802])).
% 25.02/16.34 tff(9808,plain,
% 25.02/16.34 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9809,plain,
% 25.02/16.34 ((v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2))) <=> (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9810,plain,
% 25.02/16.34 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84))))),
% 25.02/16.34 inference(monotonicity,[status(thm)],[9809])).
% 25.02/16.34 tff(9811,plain,
% 25.02/16.34 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84)))),
% 25.02/16.34 inference(transitivity,[status(thm)],[9810, 9808])).
% 25.02/16.34 tff(9812,plain,
% 25.02/16.34 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB84, bitIndex2) | (~v94(constB84)) | (~v123(constB84, bitIndex2)))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9813,plain,
% 25.02/16.34 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2)) | (~v94(constB84))),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9812, 9811])).
% 25.02/16.34 tff(9814,plain,
% 25.02/16.34 (v84(constB84, bitIndex2) | (~v94(constB84))),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9813, 1317, 9807])).
% 25.02/16.34 tff(9815,plain,
% 25.02/16.34 (v84(constB84, bitIndex2)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9814, 9793])).
% 25.02/16.34 tff(9816,plain,
% 25.02/16.34 ((~v1(constB85)) <=> (~v1(constB85))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9817,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 25.02/16.34 tff(9818,plain,
% 25.02/16.34 (~v1(constB85)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9817, 9816])).
% 25.02/16.34 tff(9819,plain,
% 25.02/16.34 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9820,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 25.02/16.34 tff(9821,plain,
% 25.02/16.34 (nextState(constB84, constB85)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9820, 9819])).
% 25.02/16.34 tff(9822,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9823,plain,
% 25.02/16.34 (((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9824,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))))),
% 25.02/16.34 inference(monotonicity,[status(thm)],[9823])).
% 25.02/16.34 tff(9825,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 25.02/16.34 inference(transitivity,[status(thm)],[9824, 9822])).
% 25.02/16.34 tff(9826,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9827,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9826, 9825])).
% 25.02/16.34 tff(9828,plain,
% 25.02/16.34 (~v95(constB85)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9827, 73, 9821, 9818])).
% 25.02/16.34 tff(9829,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9830,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9831,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85))),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 25.02/16.34 tff(9832,plain,
% 25.02/16.34 (v95(constB85) | (~v94(constB85))),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9831, 90, 9821])).
% 25.02/16.34 tff(9833,plain,
% 25.02/16.34 (~v94(constB85)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9832, 9828])).
% 25.02/16.34 tff(9834,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9835,plain,
% 25.02/16.34 (((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2)) <=> ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9836,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2)))),
% 25.02/16.34 inference(monotonicity,[status(thm)],[9835])).
% 25.02/16.34 tff(9837,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2))),
% 25.02/16.34 inference(transitivity,[status(thm)],[9836, 9834])).
% 25.02/16.34 tff(9838,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9839,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB84, bitIndex2)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex2)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9838, 9837])).
% 25.02/16.34 tff(9840,plain,
% 25.02/16.34 ((~v84(constB84, bitIndex2)) | v94(constB85) | v84(constB85, bitIndex2)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9839, 1353, 9821])).
% 25.02/16.34 tff(9841,plain,
% 25.02/16.34 ((~v84(constB84, bitIndex2)) | v84(constB85, bitIndex2)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9840, 9833])).
% 25.02/16.34 tff(9842,plain,
% 25.02/16.34 (v84(constB85, bitIndex2)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9841, 9815])).
% 25.02/16.34 tff(9843,plain,
% 25.02/16.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB83)) | v124(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB83)) | v124(constB83, bitIndex1))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9844,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB83)) | v124(constB83, bitIndex1))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9845,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB83)) | v124(constB83, bitIndex1)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9844, 9843])).
% 25.02/16.34 tff(9846,plain,
% 25.02/16.34 (v124(constB83, bitIndex1)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9845, 1817, 9729])).
% 25.02/16.34 tff(9847,plain,
% 25.02/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9848,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9849,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB83) | (~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9848, 9847])).
% 25.02/16.34 tff(9850,plain,
% 25.02/16.34 ((~v124(constB83, bitIndex1)) | v121(constB83, bitIndex1)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9849, 812, 9744])).
% 25.02/16.34 tff(9851,plain,
% 25.02/16.34 (v121(constB83, bitIndex1)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9850, 9846])).
% 25.02/16.34 tff(9852,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9853,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9854,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB83, constB84)) | (~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9853, 9852])).
% 25.02/16.34 tff(9855,plain,
% 25.02/16.34 ((~v121(constB83, bitIndex1)) | v123(constB84, bitIndex1)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9854, 827, 9759])).
% 25.02/16.34 tff(9856,plain,
% 25.02/16.34 (v123(constB84, bitIndex1)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9855, 9851])).
% 25.02/16.34 tff(9857,plain,
% 25.02/16.34 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9858,plain,
% 25.02/16.34 ((v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1))) <=> (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9859,plain,
% 25.02/16.34 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84))))),
% 25.02/16.34 inference(monotonicity,[status(thm)],[9858])).
% 25.02/16.34 tff(9860,plain,
% 25.02/16.34 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84)))),
% 25.02/16.34 inference(transitivity,[status(thm)],[9859, 9857])).
% 25.02/16.34 tff(9861,plain,
% 25.02/16.34 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB84, bitIndex1) | (~v94(constB84)) | (~v123(constB84, bitIndex1)))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9862,plain,
% 25.02/16.34 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1)) | (~v94(constB84))),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9861, 9860])).
% 25.02/16.34 tff(9863,plain,
% 25.02/16.34 (v84(constB84, bitIndex1) | (~v94(constB84))),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9862, 842, 9856])).
% 25.02/16.34 tff(9864,plain,
% 25.02/16.34 (v84(constB84, bitIndex1)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9863, 9793])).
% 25.02/16.34 tff(9865,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9866,plain,
% 25.02/16.34 (((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1)) <=> ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9867,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1)))),
% 25.02/16.34 inference(monotonicity,[status(thm)],[9866])).
% 25.02/16.34 tff(9868,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1))),
% 25.02/16.34 inference(transitivity,[status(thm)],[9867, 9865])).
% 25.02/16.34 tff(9869,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB84, constB85)) | (~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9870,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB84, bitIndex1)) | (~nextState(constB84, constB85)) | v94(constB85) | v84(constB85, bitIndex1)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9869, 9868])).
% 25.02/16.34 tff(9871,plain,
% 25.02/16.34 ((~v84(constB84, bitIndex1)) | v94(constB85) | v84(constB85, bitIndex1)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9870, 860, 9821])).
% 25.02/16.34 tff(9872,plain,
% 25.02/16.34 ((~v84(constB84, bitIndex1)) | v84(constB85, bitIndex1)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9871, 9833])).
% 25.02/16.34 tff(9873,plain,
% 25.02/16.34 (v84(constB85, bitIndex1)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9872, 9864])).
% 25.02/16.34 tff(9874,plain,
% 25.02/16.34 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB83)) | (~v124(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB83)) | (~v124(constB83, bitIndex0)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9875,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB83)) | (~v124(constB83, bitIndex0)))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9876,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB83)) | (~v124(constB83, bitIndex0))),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9875, 9874])).
% 25.02/16.34 tff(9877,plain,
% 25.02/16.34 (~v124(constB83, bitIndex0)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9876, 1855, 9729])).
% 25.02/16.34 tff(9878,plain,
% 25.02/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9879,plain,
% 25.02/16.34 ((v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0))) <=> ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9880,plain,
% 25.02/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0)))),
% 25.02/16.34 inference(monotonicity,[status(thm)],[9879])).
% 25.02/16.34 tff(9881,plain,
% 25.02/16.34 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0))),
% 25.02/16.34 inference(transitivity,[status(thm)],[9880, 9878])).
% 25.02/16.34 tff(9882,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB83) | v124(constB83, bitIndex0) | (~v121(constB83, bitIndex0)))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9883,plain,
% 25.02/16.34 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB83, bitIndex0)) | v26(constB83) | v124(constB83, bitIndex0)),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9882, 9881])).
% 25.02/16.34 tff(9884,plain,
% 25.02/16.34 ((~v121(constB83, bitIndex0)) | v124(constB83, bitIndex0)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9883, 890, 9744])).
% 25.02/16.34 tff(9885,plain,
% 25.02/16.34 (~v121(constB83, bitIndex0)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9884, 9877])).
% 25.02/16.34 tff(9886,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9887,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0)))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9888,plain,
% 25.02/16.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB83, constB84)) | v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0))),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9887, 9886])).
% 25.02/16.34 tff(9889,plain,
% 25.02/16.34 (v121(constB83, bitIndex0) | (~v123(constB84, bitIndex0))),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9888, 908, 9759])).
% 25.02/16.34 tff(9890,plain,
% 25.02/16.34 (~v123(constB84, bitIndex0)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9889, 9885])).
% 25.02/16.34 tff(9891,plain,
% 25.02/16.34 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9892,plain,
% 25.02/16.34 (((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0)) <=> ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9893,plain,
% 25.02/16.34 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84))))),
% 25.02/16.34 inference(monotonicity,[status(thm)],[9892])).
% 25.02/16.34 tff(9894,plain,
% 25.02/16.34 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84)))),
% 25.02/16.34 inference(transitivity,[status(thm)],[9893, 9891])).
% 25.02/16.34 tff(9895,plain,
% 25.02/16.34 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB84, bitIndex0)) | (~v94(constB84)) | v123(constB84, bitIndex0))),
% 25.02/16.34 inference(quant_inst,[status(thm)],[])).
% 25.02/16.34 tff(9896,plain,
% 25.02/16.34 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0) | (~v94(constB84))),
% 25.02/16.34 inference(modus_ponens,[status(thm)],[9895, 9894])).
% 25.02/16.34 tff(9897,plain,
% 25.02/16.34 ((~v84(constB84, bitIndex0)) | (~v94(constB84))),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9896, 923, 9890])).
% 25.02/16.34 tff(9898,plain,
% 25.02/16.34 (~v84(constB84, bitIndex0)),
% 25.02/16.34 inference(unit_resolution,[status(thm)],[9897, 9793])).
% 25.02/16.34 tff(9899,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9900,plain,
% 25.02/16.34 (((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0))) <=> (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 25.02/16.34 inference(rewrite,[status(thm)],[])).
% 25.02/16.34 tff(9901,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0))))),
% 25.02/16.34 inference(monotonicity,[status(thm)],[9900])).
% 25.02/16.34 tff(9902,plain,
% 25.02/16.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 25.02/16.34 inference(transitivity,[status(thm)],[9901, 9899])).
% 25.02/16.35 tff(9903,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB84, constB85)) | v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9904,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB84, bitIndex0) | (~nextState(constB84, constB85)) | v94(constB85) | (~v84(constB85, bitIndex0))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9903, 9902])).
% 25.02/16.35 tff(9905,plain,
% 25.02/16.35 (v84(constB84, bitIndex0) | v94(constB85) | (~v84(constB85, bitIndex0))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9904, 147, 9821])).
% 25.02/16.35 tff(9906,plain,
% 25.02/16.35 (v84(constB84, bitIndex0) | (~v84(constB85, bitIndex0))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9905, 9833])).
% 25.02/16.35 tff(9907,plain,
% 25.02/16.35 (~v84(constB85, bitIndex0)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9906, 9898])).
% 25.02/16.35 tff(9908,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9909,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9910,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 25.02/16.35 tff(9911,plain,
% 25.02/16.35 (v119(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9910, 1899, 9907, 9873, 9842])).
% 25.02/16.35 tff(9912,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB85)) | v107(constB85))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB85)) | v107(constB85))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9913,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB85)) | v107(constB85))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9914,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB85)) | v107(constB85)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 25.02/16.35 tff(9915,plain,
% 25.02/16.35 (v107(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9914, 1910, 9911])).
% 25.02/16.35 tff(9916,assumption,(v26(constB85)), introduced(assumption)).
% 25.02/16.35 tff(9917,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB85))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9918,plain,
% 25.02/16.35 ($false),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9917, 18, 9916])).
% 25.02/16.35 tff(9919,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 25.02/16.35 tff(9920,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | (~v107(constB85)) | v106(constB85))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9921,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9922,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | (~v107(constB85)) | v106(constB85)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 25.02/16.35 tff(9923,plain,
% 25.02/16.35 ((~v107(constB85)) | v106(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9922, 263, 9919])).
% 25.02/16.35 tff(9924,plain,
% 25.02/16.35 (v106(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9923, 9915])).
% 25.02/16.35 tff(9925,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB85) | (~v106(constB85)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB85) | (~v106(constB85)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9926,plain,
% 25.02/16.35 (((~v106(constB85)) | v102(constB85)) <=> (v102(constB85) | (~v106(constB85)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9927,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB85)) | v102(constB85))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB85) | (~v106(constB85))))),
% 25.02/16.35 inference(monotonicity,[status(thm)],[9926])).
% 25.02/16.35 tff(9928,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB85)) | v102(constB85))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB85) | (~v106(constB85)))),
% 25.02/16.35 inference(transitivity,[status(thm)],[9927, 9925])).
% 25.02/16.35 tff(9929,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB85)) | v102(constB85))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9930,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB85) | (~v106(constB85))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9929, 9928])).
% 25.02/16.35 tff(9931,plain,
% 25.02/16.35 (v102(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9930, 275, 9924])).
% 25.02/16.35 tff(9932,plain,
% 25.02/16.35 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9933,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 25.02/16.35 tff(9934,plain,
% 25.02/16.35 (nextState(constB85, constB86)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9933, 9932])).
% 25.02/16.35 tff(9935,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9936,plain,
% 25.02/16.35 (((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86)) <=> ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9937,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))))),
% 25.02/16.35 inference(monotonicity,[status(thm)],[9936])).
% 25.02/16.35 tff(9938,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 25.02/16.35 inference(transitivity,[status(thm)],[9937, 9935])).
% 25.02/16.35 tff(9939,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9940,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9939, 9938])).
% 25.02/16.35 tff(9941,plain,
% 25.02/16.35 (v104(constB86) | (~v102(constB85))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9940, 295, 9934])).
% 25.02/16.35 tff(9942,plain,
% 25.02/16.35 (v104(constB86)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9941, 9931])).
% 25.02/16.35 tff(9943,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9944,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9945,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9944, 9943])).
% 25.02/16.35 tff(9946,plain,
% 25.02/16.35 (~v98(constB86)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9945, 313, 9934, 9818])).
% 25.02/16.35 tff(9947,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9948,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9949,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9948, 9947])).
% 25.02/16.35 tff(9950,plain,
% 25.02/16.35 (v96(constB86) | v98(constB86)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9949, 327, 9934])).
% 25.02/16.35 tff(9951,plain,
% 25.02/16.35 (v96(constB86)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9950, 9946])).
% 25.02/16.35 tff(9952,plain,
% 25.02/16.35 (v1(constB86) <=> v1(constB86)),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9953,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 25.02/16.35 tff(9954,plain,
% 25.02/16.35 (v1(constB86)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9953, 9952])).
% 25.02/16.35 tff(9955,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9956,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9957,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9956, 9955])).
% 25.02/16.35 tff(9958,plain,
% 25.02/16.35 (v95(constB86) | (~v96(constB86))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9957, 345, 9934, 9954])).
% 25.02/16.35 tff(9959,plain,
% 25.02/16.35 (v95(constB86)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9958, 9951])).
% 25.02/16.35 tff(9960,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9961,plain,
% 25.02/16.35 (((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86)) <=> ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9962,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86))))),
% 25.02/16.35 inference(monotonicity,[status(thm)],[9961])).
% 25.02/16.35 tff(9963,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86)))),
% 25.02/16.35 inference(transitivity,[status(thm)],[9962, 9960])).
% 25.02/16.35 tff(9964,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9965,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | v94(constB86) | (~v95(constB86)) | (~v104(constB86))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9964, 9963])).
% 25.02/16.35 tff(9966,plain,
% 25.02/16.35 (v94(constB86) | (~v95(constB86)) | (~v104(constB86))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9965, 360, 9934])).
% 25.02/16.35 tff(9967,plain,
% 25.02/16.35 (v94(constB86) | (~v104(constB86))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9966, 9959])).
% 25.02/16.35 tff(9968,plain,
% 25.02/16.35 (v94(constB86)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9967, 9942])).
% 25.02/16.35 tff(9969,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB85)) | (~v84(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB85)) | (~v84(constB85, bitIndex2)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9970,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB85)) | (~v84(constB85, bitIndex2)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9971,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB85)) | (~v84(constB85, bitIndex2))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9970, 9969])).
% 25.02/16.35 tff(9972,plain,
% 25.02/16.35 (~v115(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9971, 1974, 9842])).
% 25.02/16.35 tff(9973,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB85)) | (~v84(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB85)) | (~v84(constB85, bitIndex2)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9974,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB85)) | (~v84(constB85, bitIndex2)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9975,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB85)) | (~v84(constB85, bitIndex2))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9974, 9973])).
% 25.02/16.35 tff(9976,plain,
% 25.02/16.35 (~v116(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9975, 1985, 9842])).
% 25.02/16.35 tff(9977,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB85)) | (~v84(constB85, bitIndex1)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9978,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB85)) | (~v84(constB85, bitIndex1)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9979,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB85)) | (~v84(constB85, bitIndex1))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9978, 9977])).
% 25.02/16.35 tff(9980,plain,
% 25.02/16.35 (~v172(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9979, 2029, 9873])).
% 25.02/16.35 tff(9981,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9982,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9983,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9982, 9981])).
% 25.02/16.35 tff(9984,plain,
% 25.02/16.35 (~v113(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9983, 1996, 9873])).
% 25.02/16.35 tff(9985,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB85)) | (~v84(constB85, bitIndex1)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9986,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB85)) | (~v84(constB85, bitIndex1)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9987,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB85)) | (~v84(constB85, bitIndex1))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9986, 9985])).
% 25.02/16.35 tff(9988,plain,
% 25.02/16.35 (~v118(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9987, 2007, 9873])).
% 25.02/16.35 tff(9989,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB85)) | (~v84(constB85, bitIndex1)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9990,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB85)) | (~v84(constB85, bitIndex1)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9991,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB85)) | (~v84(constB85, bitIndex1))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9990, 9989])).
% 25.02/16.35 tff(9992,plain,
% 25.02/16.35 (~v145(constB85)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9991, 2018, 9873])).
% 25.02/16.35 tff(9993,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9994,plain,
% 25.02/16.35 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2))) <=> (v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(9995,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex2))))),
% 25.02/16.35 inference(monotonicity,[status(thm)],[9994])).
% 25.02/16.35 tff(9996,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex2)))),
% 25.02/16.35 inference(transitivity,[status(thm)],[9995, 9993])).
% 25.02/16.35 tff(9997,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex2)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(9998,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex2))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 25.02/16.35 tff(9999,plain,
% 25.02/16.35 (~v124(constB85, bitIndex2)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[9998, 2043, 9992, 9988, 9984, 9980, 9976, 9972])).
% 25.02/16.35 tff(10000,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10001,plain,
% 25.02/16.35 ((v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2))) <=> ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10002,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2)))),
% 25.02/16.35 inference(monotonicity,[status(thm)],[10001])).
% 25.02/16.35 tff(10003,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2))),
% 25.02/16.35 inference(transitivity,[status(thm)],[10002, 10000])).
% 25.02/16.35 tff(10004,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB85) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(10005,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB85, bitIndex2)) | v26(constB85) | v124(constB85, bitIndex2)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10004, 10003])).
% 25.02/16.35 tff(10006,plain,
% 25.02/16.35 ((~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10005, 390, 9919])).
% 25.02/16.35 tff(10007,plain,
% 25.02/16.35 (~v121(constB85, bitIndex2)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10006, 9999])).
% 25.02/16.35 tff(10008,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10009,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(10010,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10009, 10008])).
% 25.02/16.35 tff(10011,plain,
% 25.02/16.35 (v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10010, 408, 9934])).
% 25.02/16.35 tff(10012,plain,
% 25.02/16.35 (~v123(constB86, bitIndex2)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10011, 10007])).
% 25.02/16.35 tff(10013,plain,
% 25.02/16.35 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10014,plain,
% 25.02/16.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(10015,plain,
% 25.02/16.35 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2) | (~v94(constB86))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10014, 10013])).
% 25.02/16.35 tff(10016,plain,
% 25.02/16.35 ((~v84(constB86, bitIndex2)) | (~v94(constB86))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10015, 423, 10012])).
% 25.02/16.35 tff(10017,plain,
% 25.02/16.35 (~v84(constB86, bitIndex2)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10016, 9968])).
% 25.02/16.35 tff(10018,plain,
% 25.02/16.35 ((~v1(constB87)) <=> (~v1(constB87))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10019,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 25.02/16.35 tff(10020,plain,
% 25.02/16.35 (~v1(constB87)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 25.02/16.35 tff(10021,plain,
% 25.02/16.35 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10022,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 25.02/16.35 tff(10023,plain,
% 25.02/16.35 (nextState(constB86, constB87)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10022, 10021])).
% 25.02/16.35 tff(10024,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10025,plain,
% 25.02/16.35 (((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10026,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))))),
% 25.02/16.35 inference(monotonicity,[status(thm)],[10025])).
% 25.02/16.35 tff(10027,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 25.02/16.35 inference(transitivity,[status(thm)],[10026, 10024])).
% 25.02/16.35 tff(10028,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(10029,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10028, 10027])).
% 25.02/16.35 tff(10030,plain,
% 25.02/16.35 (~v95(constB87)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10029, 73, 10023, 10020])).
% 25.02/16.35 tff(10031,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10032,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(10033,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10032, 10031])).
% 25.02/16.35 tff(10034,plain,
% 25.02/16.35 (v95(constB87) | (~v94(constB87))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10033, 90, 10023])).
% 25.02/16.35 tff(10035,plain,
% 25.02/16.35 (~v94(constB87)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10034, 10030])).
% 25.02/16.35 tff(10036,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10037,plain,
% 25.02/16.35 (((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2))) <=> (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10038,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2))))),
% 25.02/16.35 inference(monotonicity,[status(thm)],[10037])).
% 25.02/16.35 tff(10039,plain,
% 25.02/16.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 25.02/16.35 inference(transitivity,[status(thm)],[10038, 10036])).
% 25.02/16.35 tff(10040,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(10041,plain,
% 25.02/16.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB86, bitIndex2) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex2))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10040, 10039])).
% 25.02/16.35 tff(10042,plain,
% 25.02/16.35 (v84(constB86, bitIndex2) | v94(constB87) | (~v84(constB87, bitIndex2))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10041, 105, 10023])).
% 25.02/16.35 tff(10043,plain,
% 25.02/16.35 (v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2))),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10042, 10035])).
% 25.02/16.35 tff(10044,plain,
% 25.02/16.35 (~v84(constB87, bitIndex2)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10043, 10017])).
% 25.02/16.35 tff(10045,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10046,plain,
% 25.02/16.35 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1))) <=> (v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10047,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex1))))),
% 25.02/16.35 inference(monotonicity,[status(thm)],[10046])).
% 25.02/16.35 tff(10048,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex1)))),
% 25.02/16.35 inference(transitivity,[status(thm)],[10047, 10045])).
% 25.02/16.35 tff(10049,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~v124(constB85, bitIndex1)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(10050,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | (~v124(constB85, bitIndex1))),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 25.02/16.35 tff(10051,plain,
% 25.02/16.35 (~v124(constB85, bitIndex1)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10050, 2105, 9992, 9988, 9984, 9980, 9976, 9972])).
% 25.02/16.35 tff(10052,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10053,plain,
% 25.02/16.35 ((v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1))) <=> ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 25.02/16.35 inference(rewrite,[status(thm)],[])).
% 25.02/16.35 tff(10054,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1)))),
% 25.02/16.35 inference(monotonicity,[status(thm)],[10053])).
% 25.02/16.35 tff(10055,plain,
% 25.02/16.35 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1))),
% 25.02/16.35 inference(transitivity,[status(thm)],[10054, 10052])).
% 25.02/16.35 tff(10056,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB85) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))),
% 25.02/16.35 inference(quant_inst,[status(thm)],[])).
% 25.02/16.35 tff(10057,plain,
% 25.02/16.35 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB85, bitIndex1)) | v26(constB85) | v124(constB85, bitIndex1)),
% 25.02/16.35 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 25.02/16.35 tff(10058,plain,
% 25.02/16.35 ((~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1)),
% 25.02/16.35 inference(unit_resolution,[status(thm)],[10057, 476, 9919])).
% 25.02/16.36 tff(10059,plain,
% 25.02/16.36 (~v121(constB85, bitIndex1)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10058, 10051])).
% 25.02/16.36 tff(10060,plain,
% 25.02/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10061,plain,
% 25.02/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1)))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10062,plain,
% 25.02/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB85, constB86)) | v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1))),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10061, 10060])).
% 25.02/16.36 tff(10063,plain,
% 25.02/16.36 (v121(constB85, bitIndex1) | (~v123(constB86, bitIndex1))),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10062, 494, 9934])).
% 25.02/16.36 tff(10064,plain,
% 25.02/16.36 (~v123(constB86, bitIndex1)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10063, 10059])).
% 25.02/16.36 tff(10065,plain,
% 25.02/16.36 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10066,plain,
% 25.02/16.36 (((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1)) <=> ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10067,plain,
% 25.02/16.36 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86))))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10066])).
% 25.02/16.36 tff(10068,plain,
% 25.02/16.36 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86)))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10067, 10065])).
% 25.02/16.36 tff(10069,plain,
% 25.02/16.36 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB86, bitIndex1)) | (~v94(constB86)) | v123(constB86, bitIndex1))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10070,plain,
% 25.02/16.36 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1) | (~v94(constB86))),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10069, 10068])).
% 25.02/16.36 tff(10071,plain,
% 25.02/16.36 ((~v84(constB86, bitIndex1)) | (~v94(constB86))),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10070, 509, 10064])).
% 25.02/16.36 tff(10072,plain,
% 25.02/16.36 (~v84(constB86, bitIndex1)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10071, 9968])).
% 25.02/16.36 tff(10073,plain,
% 25.02/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10074,plain,
% 25.02/16.36 (((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1))) <=> (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10075,plain,
% 25.02/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1))))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10074])).
% 25.02/16.36 tff(10076,plain,
% 25.02/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10075, 10073])).
% 25.02/16.36 tff(10077,plain,
% 25.02/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB86, constB87)) | v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1)))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10078,plain,
% 25.02/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB86, bitIndex1) | (~nextState(constB86, constB87)) | v94(constB87) | (~v84(constB87, bitIndex1))),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10077, 10076])).
% 25.02/16.36 tff(10079,plain,
% 25.02/16.36 (v84(constB86, bitIndex1) | v94(constB87) | (~v84(constB87, bitIndex1))),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10078, 126, 10023])).
% 25.02/16.36 tff(10080,plain,
% 25.02/16.36 (v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1))),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10079, 10035])).
% 25.02/16.36 tff(10081,plain,
% 25.02/16.36 (~v84(constB87, bitIndex1)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10080, 10072])).
% 25.02/16.36 tff(10082,assumption,(~v124(constB85, bitIndex0)), introduced(assumption)).
% 25.02/16.36 tff(10083,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB85)) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB85)) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10084,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB85)) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10085,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB85)) | v124(constB85, bitIndex0)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10084, 10083])).
% 25.02/16.36 tff(10086,plain,
% 25.02/16.36 (~v113(constB85)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10085, 533, 10082])).
% 25.02/16.36 tff(10087,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB85)) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB85)) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10088,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB85)) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10089,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB85)) | v124(constB85, bitIndex0)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10088, 10087])).
% 25.02/16.36 tff(10090,plain,
% 25.02/16.36 (~v115(constB85)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10089, 1140, 10082])).
% 25.02/16.36 tff(10091,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB85)) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB85)) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10092,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB85)) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10093,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB85)) | v124(constB85, bitIndex0)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 25.02/16.36 tff(10094,plain,
% 25.02/16.36 (~v172(constB85)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10093, 1636, 10082])).
% 25.02/16.36 tff(10095,assumption,(~v84(constB85, bitIndex0)), introduced(assumption)).
% 25.02/16.36 tff(10096,assumption,(~v113(constB85)), introduced(assumption)).
% 25.02/16.36 tff(10097,assumption,(~v84(constB85, bitIndex1)), introduced(assumption)).
% 25.02/16.36 tff(10098,assumption,(~v172(constB85)), introduced(assumption)).
% 25.02/16.36 tff(10099,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10100,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10101,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 25.02/16.36 tff(10102,plain,
% 25.02/16.36 (v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10101, 1454, 10095])).
% 25.02/16.36 tff(10103,plain,
% 25.02/16.36 (~v84(constB85, bitIndex2)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10102, 10097, 10098])).
% 25.02/16.36 tff(10104,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v113(constB85))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v113(constB85))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10105,plain,
% 25.02/16.36 ((v84(constB85, bitIndex0) | v113(constB85) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)) <=> (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v113(constB85))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10106,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB85, bitIndex0) | v113(constB85) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v113(constB85)))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10105])).
% 25.02/16.36 tff(10107,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB85, bitIndex0) | v113(constB85) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v113(constB85))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10106, 10104])).
% 25.02/16.36 tff(10108,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB85, bitIndex0) | v113(constB85) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10109,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v113(constB85)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 25.02/16.36 tff(10110,plain,
% 25.02/16.36 (v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v113(constB85)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10109, 168, 10095])).
% 25.02/16.36 tff(10111,plain,
% 25.02/16.36 ($false),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10110, 10103, 10097, 10096])).
% 25.02/16.36 tff(10112,plain,(v84(constB85, bitIndex1) | v113(constB85) | v84(constB85, bitIndex0) | v172(constB85)), inference(lemma,lemma(discharge,[]))).
% 25.02/16.36 tff(10113,plain,
% 25.02/16.36 (v84(constB85, bitIndex1)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10112, 10095, 10086, 10094])).
% 25.02/16.36 tff(10114,plain,
% 25.02/16.36 (~v145(constB85)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[9991, 2018, 10113])).
% 25.02/16.36 tff(10115,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v115(constB85))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v115(constB85))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10116,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v115(constB85))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10117,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v115(constB85)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 25.02/16.36 tff(10118,plain,
% 25.02/16.36 (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10117, 950, 10090])).
% 25.02/16.36 tff(10119,plain,
% 25.02/16.36 (v84(constB85, bitIndex2)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10118, 10113, 10095])).
% 25.02/16.36 tff(10120,plain,
% 25.02/16.36 (~v116(constB85)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[9975, 1985, 10119])).
% 25.02/16.36 tff(10121,assumption,(~v118(constB85)), introduced(assumption)).
% 25.02/16.36 tff(10122,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10123,plain,
% 25.02/16.36 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0)) <=> (v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10124,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | v124(constB85, bitIndex0)))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10123])).
% 25.02/16.36 tff(10125,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10124, 10122])).
% 25.02/16.36 tff(10126,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | v124(constB85, bitIndex0))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10127,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB85) | v118(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | v124(constB85, bitIndex0)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10126, 10125])).
% 25.02/16.36 tff(10128,plain,
% 25.02/16.36 (v145(constB85) | v172(constB85) | v115(constB85) | v113(constB85) | v116(constB85) | v124(constB85, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10127, 2152, 10121])).
% 25.02/16.36 tff(10129,plain,
% 25.02/16.36 ($false),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10128, 10120, 10114, 10082, 10094, 10090, 10086])).
% 25.02/16.36 tff(10130,plain,(v84(constB85, bitIndex0) | v124(constB85, bitIndex0) | v118(constB85)), inference(lemma,lemma(discharge,[]))).
% 25.02/16.36 tff(10131,plain,
% 25.02/16.36 (v124(constB85, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10130, 9988, 9907])).
% 25.02/16.36 tff(10132,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10133,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10134,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB85) | (~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 25.02/16.36 tff(10135,plain,
% 25.02/16.36 ((~v124(constB85, bitIndex0)) | v121(constB85, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10134, 547, 9919])).
% 25.02/16.36 tff(10136,plain,
% 25.02/16.36 (v121(constB85, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10135, 10131])).
% 25.02/16.36 tff(10137,plain,
% 25.02/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10138,plain,
% 25.02/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10139,plain,
% 25.02/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB85, constB86)) | (~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10138, 10137])).
% 25.02/16.36 tff(10140,plain,
% 25.02/16.36 ((~v121(constB85, bitIndex0)) | v123(constB86, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10139, 562, 9934])).
% 25.02/16.36 tff(10141,plain,
% 25.02/16.36 (v123(constB86, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10140, 10136])).
% 25.02/16.36 tff(10142,plain,
% 25.02/16.36 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10143,plain,
% 25.02/16.36 ((v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0))) <=> (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10144,plain,
% 25.02/16.36 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86))))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10143])).
% 25.02/16.36 tff(10145,plain,
% 25.02/16.36 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86)))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10144, 10142])).
% 25.02/16.36 tff(10146,plain,
% 25.02/16.36 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB86, bitIndex0) | (~v94(constB86)) | (~v123(constB86, bitIndex0)))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10147,plain,
% 25.02/16.36 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0)) | (~v94(constB86))),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10146, 10145])).
% 25.02/16.36 tff(10148,plain,
% 25.02/16.36 (v84(constB86, bitIndex0) | (~v94(constB86))),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10147, 577, 10141])).
% 25.02/16.36 tff(10149,plain,
% 25.02/16.36 (v84(constB86, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10148, 9968])).
% 25.02/16.36 tff(10150,plain,
% 25.02/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10151,plain,
% 25.02/16.36 (((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0)) <=> ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10152,plain,
% 25.02/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0)))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10151])).
% 25.02/16.36 tff(10153,plain,
% 25.02/16.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10152, 10150])).
% 25.02/16.36 tff(10154,plain,
% 25.02/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB86, constB87)) | (~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10155,plain,
% 25.02/16.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB86, bitIndex0)) | (~nextState(constB86, constB87)) | v94(constB87) | v84(constB87, bitIndex0)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10154, 10153])).
% 25.02/16.36 tff(10156,plain,
% 25.02/16.36 ((~v84(constB86, bitIndex0)) | v94(constB87) | v84(constB87, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10155, 595, 10023])).
% 25.02/16.36 tff(10157,plain,
% 25.02/16.36 ((~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10156, 10035])).
% 25.02/16.36 tff(10158,plain,
% 25.02/16.36 (v84(constB87, bitIndex0)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10157, 10149])).
% 25.02/16.36 tff(10159,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10160,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10161,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10160, 10159])).
% 25.02/16.36 tff(10162,plain,
% 25.02/16.36 (v145(constB87)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10161, 614, 10158, 10081, 10044])).
% 25.02/16.36 tff(10163,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10164,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10165,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87))),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10164, 10163])).
% 25.02/16.36 tff(10166,plain,
% 25.02/16.36 (v112(constB87)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10165, 677, 10162])).
% 25.02/16.36 tff(10167,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB87) | (~v112(constB87)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10168,plain,
% 25.02/16.36 (((~v112(constB87)) | v111(constB87)) <=> (v111(constB87) | (~v112(constB87)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10169,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB87)) | v111(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB87) | (~v112(constB87))))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10168])).
% 25.02/16.36 tff(10170,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB87)) | v111(constB87))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB87) | (~v112(constB87)))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10169, 10167])).
% 25.02/16.36 tff(10171,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB87)) | v111(constB87))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10172,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB87) | (~v112(constB87))),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10171, 10170])).
% 25.02/16.36 tff(10173,plain,
% 25.02/16.36 (v111(constB87)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10172, 193, 10166])).
% 25.02/16.36 tff(10174,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB87)) | v110(constB87))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB87)) | v110(constB87))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10175,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB87)) | v110(constB87))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10176,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB87)) | v110(constB87)),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10175, 10174])).
% 25.02/16.36 tff(10177,plain,
% 25.02/16.36 (v110(constB87)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10176, 207, 10173])).
% 25.02/16.36 tff(10178,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB87) | (~v110(constB87)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB87) | (~v110(constB87)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10179,plain,
% 25.02/16.36 (((~v110(constB87)) | v109(constB87)) <=> (v109(constB87) | (~v110(constB87)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10180,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB87)) | v109(constB87))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB87) | (~v110(constB87))))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10179])).
% 25.02/16.36 tff(10181,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB87)) | v109(constB87))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB87) | (~v110(constB87)))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10180, 10178])).
% 25.02/16.36 tff(10182,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB87)) | v109(constB87))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10183,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB87) | (~v110(constB87))),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10182, 10181])).
% 25.02/16.36 tff(10184,plain,
% 25.02/16.36 (v109(constB87)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10183, 221, 10177])).
% 25.02/16.36 tff(10185,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v109(constB87)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v109(constB87)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10186,plain,
% 25.02/16.36 (((~v109(constB87)) | v108(constB87)) <=> (v108(constB87) | (~v109(constB87)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10187,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB87) | (~v109(constB87))))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10186])).
% 25.02/16.36 tff(10188,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB87)) | v108(constB87))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v109(constB87)))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10187, 10185])).
% 25.02/16.36 tff(10189,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB87)) | v108(constB87))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10190,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB87) | (~v109(constB87))),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10189, 10188])).
% 25.02/16.36 tff(10191,plain,
% 25.02/16.36 (v108(constB87)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10190, 235, 10184])).
% 25.02/16.36 tff(10192,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB87) | (~v108(constB87)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB87) | (~v108(constB87)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10193,plain,
% 25.02/16.36 (((~v108(constB87)) | v107(constB87)) <=> (v107(constB87) | (~v108(constB87)))),
% 25.02/16.36 inference(rewrite,[status(thm)],[])).
% 25.02/16.36 tff(10194,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB87)) | v107(constB87))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB87) | (~v108(constB87))))),
% 25.02/16.36 inference(monotonicity,[status(thm)],[10193])).
% 25.02/16.36 tff(10195,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB87)) | v107(constB87))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB87) | (~v108(constB87)))),
% 25.02/16.36 inference(transitivity,[status(thm)],[10194, 10192])).
% 25.02/16.36 tff(10196,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB87)) | v107(constB87))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10197,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB87) | (~v108(constB87))),
% 25.02/16.36 inference(modus_ponens,[status(thm)],[10196, 10195])).
% 25.02/16.36 tff(10198,plain,
% 25.02/16.36 (v107(constB87)),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10197, 249, 10191])).
% 25.02/16.36 tff(10199,assumption,(v26(constB87)), introduced(assumption)).
% 25.02/16.36 tff(10200,plain,
% 25.02/16.36 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB87))),
% 25.02/16.36 inference(quant_inst,[status(thm)],[])).
% 25.02/16.36 tff(10201,plain,
% 25.02/16.36 ($false),
% 25.02/16.36 inference(unit_resolution,[status(thm)],[10200, 18, 10199])).
% 25.02/16.36 tff(10202,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 25.02/16.36 tff(10203,plain,
% 25.02/16.36 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10204,plain,
% 25.02/16.37 ((v26(constB87) | (~v107(constB87)) | v106(constB87)) <=> (v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10205,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87))))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10204])).
% 25.02/16.37 tff(10206,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10205, 10203])).
% 25.02/16.37 tff(10207,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10208,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10207, 10206])).
% 25.02/16.37 tff(10209,plain,
% 25.02/16.37 (v106(constB87) | (~v107(constB87))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10208, 263, 10202])).
% 25.02/16.37 tff(10210,plain,
% 25.02/16.37 (v106(constB87)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10209, 10198])).
% 25.02/16.37 tff(10211,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB87) | (~v106(constB87)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB87) | (~v106(constB87)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10212,plain,
% 25.02/16.37 (((~v106(constB87)) | v102(constB87)) <=> (v102(constB87) | (~v106(constB87)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10213,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB87)) | v102(constB87))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB87) | (~v106(constB87))))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10212])).
% 25.02/16.37 tff(10214,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB87)) | v102(constB87))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB87) | (~v106(constB87)))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10213, 10211])).
% 25.02/16.37 tff(10215,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB87)) | v102(constB87))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10216,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB87) | (~v106(constB87))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10215, 10214])).
% 25.02/16.37 tff(10217,plain,
% 25.02/16.37 (v102(constB87)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10216, 275, 10210])).
% 25.02/16.37 tff(10218,plain,
% 25.02/16.37 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10219,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 25.02/16.37 tff(10220,plain,
% 25.02/16.37 (nextState(constB87, constB88)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10219, 10218])).
% 25.02/16.37 tff(10221,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10222,plain,
% 25.02/16.37 (((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88)) <=> ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10223,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10222])).
% 25.02/16.37 tff(10224,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10223, 10221])).
% 25.02/16.37 tff(10225,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10226,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10225, 10224])).
% 25.02/16.37 tff(10227,plain,
% 25.02/16.37 (v104(constB88) | (~v102(constB87))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10226, 295, 10220])).
% 25.02/16.37 tff(10228,plain,
% 25.02/16.37 (v104(constB88)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10227, 10217])).
% 25.02/16.37 tff(10229,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10230,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10231,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10230, 10229])).
% 25.02/16.37 tff(10232,plain,
% 25.02/16.37 (~v98(constB88)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10231, 313, 10220, 10020])).
% 25.02/16.37 tff(10233,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10234,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10235,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10234, 10233])).
% 25.02/16.37 tff(10236,plain,
% 25.02/16.37 (v96(constB88) | v98(constB88)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10235, 327, 10220])).
% 25.02/16.37 tff(10237,plain,
% 25.02/16.37 (v96(constB88)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10236, 10232])).
% 25.02/16.37 tff(10238,plain,
% 25.02/16.37 (v1(constB88) <=> v1(constB88)),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10239,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 25.02/16.37 tff(10240,plain,
% 25.02/16.37 (v1(constB88)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10239, 10238])).
% 25.02/16.37 tff(10241,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10242,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10243,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10242, 10241])).
% 25.02/16.37 tff(10244,plain,
% 25.02/16.37 (v95(constB88) | (~v96(constB88))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10243, 345, 10220, 10240])).
% 25.02/16.37 tff(10245,plain,
% 25.02/16.37 (v95(constB88)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10244, 10237])).
% 25.02/16.37 tff(10246,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10247,plain,
% 25.02/16.37 (((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88)) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10248,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88))))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10247])).
% 25.02/16.37 tff(10249,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88)))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10248, 10246])).
% 25.02/16.37 tff(10250,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10251,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | v94(constB88) | (~v95(constB88)) | (~v104(constB88))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10250, 10249])).
% 25.02/16.37 tff(10252,plain,
% 25.02/16.37 (v94(constB88) | (~v95(constB88)) | (~v104(constB88))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10251, 360, 10220])).
% 25.02/16.37 tff(10253,plain,
% 25.02/16.37 (v94(constB88) | (~v104(constB88))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10252, 10245])).
% 25.02/16.37 tff(10254,plain,
% 25.02/16.37 (v94(constB88)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10253, 10228])).
% 25.02/16.37 tff(10255,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10256,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10257,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB87)) | (~v124(constB87, bitIndex2))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10256, 10255])).
% 25.02/16.37 tff(10258,plain,
% 25.02/16.37 (~v124(constB87, bitIndex2)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10257, 625, 10162])).
% 25.02/16.37 tff(10259,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10260,plain,
% 25.02/16.37 ((v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2))) <=> ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10261,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2)))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10260])).
% 25.02/16.37 tff(10262,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10261, 10259])).
% 25.02/16.37 tff(10263,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB87) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10264,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB87, bitIndex2)) | v26(constB87) | v124(constB87, bitIndex2)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 25.02/16.37 tff(10265,plain,
% 25.02/16.37 ((~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10264, 390, 10202])).
% 25.02/16.37 tff(10266,plain,
% 25.02/16.37 (~v121(constB87, bitIndex2)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10265, 10258])).
% 25.02/16.37 tff(10267,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10268,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10269,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10268, 10267])).
% 25.02/16.37 tff(10270,plain,
% 25.02/16.37 (v121(constB87, bitIndex2) | (~v123(constB88, bitIndex2))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10269, 408, 10220])).
% 25.02/16.37 tff(10271,plain,
% 25.02/16.37 (~v123(constB88, bitIndex2)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10270, 10266])).
% 25.02/16.37 tff(10272,plain,
% 25.02/16.37 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10273,plain,
% 25.02/16.37 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10274,plain,
% 25.02/16.37 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2) | (~v94(constB88))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10273, 10272])).
% 25.02/16.37 tff(10275,plain,
% 25.02/16.37 ((~v84(constB88, bitIndex2)) | (~v94(constB88))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10274, 423, 10271])).
% 25.02/16.37 tff(10276,plain,
% 25.02/16.37 (~v84(constB88, bitIndex2)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10275, 10254])).
% 25.02/16.37 tff(10277,plain,
% 25.02/16.37 ((~v1(constB89)) <=> (~v1(constB89))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10278,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 25.02/16.37 tff(10279,plain,
% 25.02/16.37 (~v1(constB89)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 25.02/16.37 tff(10280,plain,
% 25.02/16.37 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10281,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 25.02/16.37 tff(10282,plain,
% 25.02/16.37 (nextState(constB88, constB89)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10281, 10280])).
% 25.02/16.37 tff(10283,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10284,plain,
% 25.02/16.37 (((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10285,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10284])).
% 25.02/16.37 tff(10286,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10285, 10283])).
% 25.02/16.37 tff(10287,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10288,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10287, 10286])).
% 25.02/16.37 tff(10289,plain,
% 25.02/16.37 (~v95(constB89)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10288, 73, 10282, 10279])).
% 25.02/16.37 tff(10290,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10291,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10292,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 25.02/16.37 tff(10293,plain,
% 25.02/16.37 (v95(constB89) | (~v94(constB89))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10292, 90, 10282])).
% 25.02/16.37 tff(10294,plain,
% 25.02/16.37 (~v94(constB89)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10293, 10289])).
% 25.02/16.37 tff(10295,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10296,plain,
% 25.02/16.37 (((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2))) <=> (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10297,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2))))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10296])).
% 25.02/16.37 tff(10298,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10297, 10295])).
% 25.02/16.37 tff(10299,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10300,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB88, bitIndex2) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex2))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10299, 10298])).
% 25.02/16.37 tff(10301,plain,
% 25.02/16.37 (v84(constB88, bitIndex2) | v94(constB89) | (~v84(constB89, bitIndex2))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10300, 105, 10282])).
% 25.02/16.37 tff(10302,plain,
% 25.02/16.37 (v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10301, 10294])).
% 25.02/16.37 tff(10303,plain,
% 25.02/16.37 (~v84(constB89, bitIndex2)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10302, 10276])).
% 25.02/16.37 tff(10304,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB87)) | v124(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB87)) | v124(constB87, bitIndex1))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10305,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB87)) | v124(constB87, bitIndex1))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10306,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB87)) | v124(constB87, bitIndex1)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10305, 10304])).
% 25.02/16.37 tff(10307,plain,
% 25.02/16.37 (v124(constB87, bitIndex1)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10306, 798, 10162])).
% 25.02/16.37 tff(10308,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10309,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10310,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB87) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10309, 10308])).
% 25.02/16.37 tff(10311,plain,
% 25.02/16.37 ((~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10310, 812, 10202])).
% 25.02/16.37 tff(10312,plain,
% 25.02/16.37 (v121(constB87, bitIndex1)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10311, 10307])).
% 25.02/16.37 tff(10313,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10314,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10315,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB87, constB88)) | (~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10314, 10313])).
% 25.02/16.37 tff(10316,plain,
% 25.02/16.37 ((~v121(constB87, bitIndex1)) | v123(constB88, bitIndex1)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10315, 827, 10220])).
% 25.02/16.37 tff(10317,plain,
% 25.02/16.37 (v123(constB88, bitIndex1)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10316, 10312])).
% 25.02/16.37 tff(10318,plain,
% 25.02/16.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10319,plain,
% 25.02/16.37 ((v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1))) <=> (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10320,plain,
% 25.02/16.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88))))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10319])).
% 25.02/16.37 tff(10321,plain,
% 25.02/16.37 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88)))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10320, 10318])).
% 25.02/16.37 tff(10322,plain,
% 25.02/16.37 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB88, bitIndex1) | (~v94(constB88)) | (~v123(constB88, bitIndex1)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10323,plain,
% 25.02/16.37 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)) | (~v94(constB88))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10322, 10321])).
% 25.02/16.37 tff(10324,plain,
% 25.02/16.37 (v84(constB88, bitIndex1) | (~v94(constB88))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10323, 842, 10317])).
% 25.02/16.37 tff(10325,plain,
% 25.02/16.37 (v84(constB88, bitIndex1)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10324, 10254])).
% 25.02/16.37 tff(10326,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10327,plain,
% 25.02/16.37 (((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1)) <=> ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10328,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1)))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10327])).
% 25.02/16.37 tff(10329,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10328, 10326])).
% 25.02/16.37 tff(10330,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB88, constB89)) | (~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10331,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB88, bitIndex1)) | (~nextState(constB88, constB89)) | v94(constB89) | v84(constB89, bitIndex1)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 25.02/16.37 tff(10332,plain,
% 25.02/16.37 ((~v84(constB88, bitIndex1)) | v94(constB89) | v84(constB89, bitIndex1)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10331, 860, 10282])).
% 25.02/16.37 tff(10333,plain,
% 25.02/16.37 ((~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10332, 10294])).
% 25.02/16.37 tff(10334,plain,
% 25.02/16.37 (v84(constB89, bitIndex1)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10333, 10325])).
% 25.02/16.37 tff(10335,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10336,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10337,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB87)) | (~v124(constB87, bitIndex0))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10336, 10335])).
% 25.02/16.37 tff(10338,plain,
% 25.02/16.37 (~v124(constB87, bitIndex0)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10337, 876, 10162])).
% 25.02/16.37 tff(10339,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10340,plain,
% 25.02/16.37 ((v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0))) <=> ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10341,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0)))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10340])).
% 25.02/16.37 tff(10342,plain,
% 25.02/16.37 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10341, 10339])).
% 25.02/16.37 tff(10343,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB87) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10344,plain,
% 25.02/16.37 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB87, bitIndex0)) | v26(constB87) | v124(constB87, bitIndex0)),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10343, 10342])).
% 25.02/16.37 tff(10345,plain,
% 25.02/16.37 ((~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10344, 890, 10202])).
% 25.02/16.37 tff(10346,plain,
% 25.02/16.37 (~v121(constB87, bitIndex0)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10345, 10338])).
% 25.02/16.37 tff(10347,plain,
% 25.02/16.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10348,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10349,plain,
% 25.02/16.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB87, constB88)) | v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0))),
% 25.02/16.37 inference(modus_ponens,[status(thm)],[10348, 10347])).
% 25.02/16.37 tff(10350,plain,
% 25.02/16.37 (v121(constB87, bitIndex0) | (~v123(constB88, bitIndex0))),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10349, 908, 10220])).
% 25.02/16.37 tff(10351,plain,
% 25.02/16.37 (~v123(constB88, bitIndex0)),
% 25.02/16.37 inference(unit_resolution,[status(thm)],[10350, 10346])).
% 25.02/16.37 tff(10352,plain,
% 25.02/16.37 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10353,plain,
% 25.02/16.37 (((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0)) <=> ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 25.02/16.37 inference(rewrite,[status(thm)],[])).
% 25.02/16.37 tff(10354,plain,
% 25.02/16.37 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88))))),
% 25.02/16.37 inference(monotonicity,[status(thm)],[10353])).
% 25.02/16.37 tff(10355,plain,
% 25.02/16.37 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88)))),
% 25.02/16.37 inference(transitivity,[status(thm)],[10354, 10352])).
% 25.02/16.37 tff(10356,plain,
% 25.02/16.37 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB88, bitIndex0)) | (~v94(constB88)) | v123(constB88, bitIndex0))),
% 25.02/16.37 inference(quant_inst,[status(thm)],[])).
% 25.02/16.37 tff(10357,plain,
% 25.02/16.37 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0) | (~v94(constB88))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 25.02/16.38 tff(10358,plain,
% 25.02/16.38 ((~v84(constB88, bitIndex0)) | (~v94(constB88))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10357, 923, 10351])).
% 25.02/16.38 tff(10359,plain,
% 25.02/16.38 (~v84(constB88, bitIndex0)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10358, 10254])).
% 25.02/16.38 tff(10360,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10361,plain,
% 25.02/16.38 (((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0))) <=> (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10362,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10361])).
% 25.02/16.38 tff(10363,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10362, 10360])).
% 25.02/16.38 tff(10364,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB88, constB89)) | v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0)))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10365,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB88, bitIndex0) | (~nextState(constB88, constB89)) | v94(constB89) | (~v84(constB89, bitIndex0))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 25.02/16.38 tff(10366,plain,
% 25.02/16.38 (v84(constB88, bitIndex0) | v94(constB89) | (~v84(constB89, bitIndex0))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10365, 147, 10282])).
% 25.02/16.38 tff(10367,plain,
% 25.02/16.38 (v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10366, 10294])).
% 25.02/16.38 tff(10368,plain,
% 25.02/16.38 (~v84(constB89, bitIndex0)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10367, 10359])).
% 25.02/16.38 tff(10369,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10370,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10371,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10370, 10369])).
% 25.02/16.38 tff(10372,plain,
% 25.02/16.38 (v115(constB89)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10371, 950, 10368, 10334, 10303])).
% 25.02/16.38 tff(10373,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB89)) | v111(constB89))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB89)) | v111(constB89))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10374,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB89)) | v111(constB89))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10375,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB89)) | v111(constB89)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 25.02/16.38 tff(10376,plain,
% 25.02/16.38 (v111(constB89)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10375, 961, 10372])).
% 25.02/16.38 tff(10377,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB89) | (~v111(constB89)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB89) | (~v111(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10378,plain,
% 25.02/16.38 (((~v111(constB89)) | v110(constB89)) <=> (v110(constB89) | (~v111(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10379,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB89)) | v110(constB89))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB89) | (~v111(constB89))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10378])).
% 25.02/16.38 tff(10380,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB89)) | v110(constB89))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB89) | (~v111(constB89)))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10379, 10377])).
% 25.02/16.38 tff(10381,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB89)) | v110(constB89))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10382,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB89) | (~v111(constB89))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10381, 10380])).
% 25.02/16.38 tff(10383,plain,
% 25.02/16.38 (v110(constB89)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10382, 207, 10376])).
% 25.02/16.38 tff(10384,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB89) | (~v110(constB89)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB89) | (~v110(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10385,plain,
% 25.02/16.38 (((~v110(constB89)) | v109(constB89)) <=> (v109(constB89) | (~v110(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10386,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB89)) | v109(constB89))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB89) | (~v110(constB89))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10385])).
% 25.02/16.38 tff(10387,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB89)) | v109(constB89))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB89) | (~v110(constB89)))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10386, 10384])).
% 25.02/16.38 tff(10388,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB89)) | v109(constB89))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10389,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB89) | (~v110(constB89))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10388, 10387])).
% 25.02/16.38 tff(10390,plain,
% 25.02/16.38 (v109(constB89)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10389, 221, 10383])).
% 25.02/16.38 tff(10391,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB89)) | v108(constB89))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB89)) | v108(constB89))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10392,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB89)) | v108(constB89))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10393,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB89)) | v108(constB89)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10392, 10391])).
% 25.02/16.38 tff(10394,plain,
% 25.02/16.38 (v108(constB89)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10393, 235, 10390])).
% 25.02/16.38 tff(10395,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB89)) | v107(constB89))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB89)) | v107(constB89))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10396,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB89)) | v107(constB89))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10397,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB89)) | v107(constB89)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10396, 10395])).
% 25.02/16.38 tff(10398,plain,
% 25.02/16.38 (v107(constB89)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10397, 249, 10394])).
% 25.02/16.38 tff(10399,assumption,(v26(constB89)), introduced(assumption)).
% 25.02/16.38 tff(10400,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB89))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10401,plain,
% 25.02/16.38 ($false),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10400, 18, 10399])).
% 25.02/16.38 tff(10402,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 25.02/16.38 tff(10403,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | v106(constB89) | (~v107(constB89)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10404,plain,
% 25.02/16.38 ((v26(constB89) | (~v107(constB89)) | v106(constB89)) <=> (v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10405,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | v106(constB89) | (~v107(constB89))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10404])).
% 25.02/16.38 tff(10406,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10405, 10403])).
% 25.02/16.38 tff(10407,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10408,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10407, 10406])).
% 25.02/16.38 tff(10409,plain,
% 25.02/16.38 (v106(constB89) | (~v107(constB89))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10408, 263, 10402])).
% 25.02/16.38 tff(10410,plain,
% 25.02/16.38 (v106(constB89)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10409, 10398])).
% 25.02/16.38 tff(10411,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB89) | (~v106(constB89)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB89) | (~v106(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10412,plain,
% 25.02/16.38 (((~v106(constB89)) | v102(constB89)) <=> (v102(constB89) | (~v106(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10413,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB89)) | v102(constB89))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB89) | (~v106(constB89))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10412])).
% 25.02/16.38 tff(10414,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB89)) | v102(constB89))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB89) | (~v106(constB89)))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10413, 10411])).
% 25.02/16.38 tff(10415,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB89)) | v102(constB89))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10416,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB89) | (~v106(constB89))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10415, 10414])).
% 25.02/16.38 tff(10417,plain,
% 25.02/16.38 (v102(constB89)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10416, 275, 10410])).
% 25.02/16.38 tff(10418,plain,
% 25.02/16.38 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10419,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 25.02/16.38 tff(10420,plain,
% 25.02/16.38 (nextState(constB89, constB90)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10419, 10418])).
% 25.02/16.38 tff(10421,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10422,plain,
% 25.02/16.38 (((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90)) <=> ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10423,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10422])).
% 25.02/16.38 tff(10424,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10423, 10421])).
% 25.02/16.38 tff(10425,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10426,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10425, 10424])).
% 25.02/16.38 tff(10427,plain,
% 25.02/16.38 (v104(constB90) | (~v102(constB89))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10426, 295, 10420])).
% 25.02/16.38 tff(10428,plain,
% 25.02/16.38 (v104(constB90)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10427, 10417])).
% 25.02/16.38 tff(10429,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10430,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10431,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 25.02/16.38 tff(10432,plain,
% 25.02/16.38 (~v98(constB90)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10431, 313, 10420, 10279])).
% 25.02/16.38 tff(10433,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10434,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10435,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10434, 10433])).
% 25.02/16.38 tff(10436,plain,
% 25.02/16.38 (v96(constB90) | v98(constB90)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10435, 327, 10420])).
% 25.02/16.38 tff(10437,plain,
% 25.02/16.38 (v96(constB90)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10436, 10432])).
% 25.02/16.38 tff(10438,plain,
% 25.02/16.38 (v1(constB90) <=> v1(constB90)),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10439,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 25.02/16.38 tff(10440,plain,
% 25.02/16.38 (v1(constB90)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10439, 10438])).
% 25.02/16.38 tff(10441,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10442,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10443,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 25.02/16.38 tff(10444,plain,
% 25.02/16.38 (v95(constB90) | (~v96(constB90))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10443, 345, 10420, 10440])).
% 25.02/16.38 tff(10445,plain,
% 25.02/16.38 (v95(constB90)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10444, 10437])).
% 25.02/16.38 tff(10446,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10447,plain,
% 25.02/16.38 (((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90)) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10448,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10447])).
% 25.02/16.38 tff(10449,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90)))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10448, 10446])).
% 25.02/16.38 tff(10450,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10451,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | v94(constB90) | (~v95(constB90)) | (~v104(constB90))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 25.02/16.38 tff(10452,plain,
% 25.02/16.38 (v94(constB90) | (~v95(constB90)) | (~v104(constB90))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10451, 360, 10420])).
% 25.02/16.38 tff(10453,plain,
% 25.02/16.38 (v94(constB90) | (~v104(constB90))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10452, 10445])).
% 25.02/16.38 tff(10454,plain,
% 25.02/16.38 (v94(constB90)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10453, 10428])).
% 25.02/16.38 tff(10455,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB89)) | (~v124(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10456,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10457,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB89)) | (~v124(constB89, bitIndex2))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10456, 10455])).
% 25.02/16.38 tff(10458,plain,
% 25.02/16.38 (~v124(constB89, bitIndex2)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10457, 1046, 10372])).
% 25.02/16.38 tff(10459,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10460,plain,
% 25.02/16.38 ((v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2))) <=> ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10461,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2)))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10460])).
% 25.02/16.38 tff(10462,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10461, 10459])).
% 25.02/16.38 tff(10463,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB89) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10464,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB89, bitIndex2)) | v26(constB89) | v124(constB89, bitIndex2)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10463, 10462])).
% 25.02/16.38 tff(10465,plain,
% 25.02/16.38 ((~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10464, 390, 10402])).
% 25.02/16.38 tff(10466,plain,
% 25.02/16.38 (~v121(constB89, bitIndex2)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10465, 10458])).
% 25.02/16.38 tff(10467,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10468,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2)))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10469,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB89, constB90)) | v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10468, 10467])).
% 25.02/16.38 tff(10470,plain,
% 25.02/16.38 (v121(constB89, bitIndex2) | (~v123(constB90, bitIndex2))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10469, 408, 10420])).
% 25.02/16.38 tff(10471,plain,
% 25.02/16.38 (~v123(constB90, bitIndex2)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10470, 10466])).
% 25.02/16.38 tff(10472,plain,
% 25.02/16.38 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10473,plain,
% 25.02/16.38 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90)))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10474,plain,
% 25.02/16.38 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2) | (~v94(constB90))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10473, 10472])).
% 25.02/16.38 tff(10475,plain,
% 25.02/16.38 ((~v84(constB90, bitIndex2)) | (~v94(constB90))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10474, 423, 10471])).
% 25.02/16.38 tff(10476,plain,
% 25.02/16.38 (~v84(constB90, bitIndex2)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10475, 10454])).
% 25.02/16.38 tff(10477,plain,
% 25.02/16.38 ((~v1(constB91)) <=> (~v1(constB91))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10478,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 25.02/16.38 tff(10479,plain,
% 25.02/16.38 (~v1(constB91)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10478, 10477])).
% 25.02/16.38 tff(10480,plain,
% 25.02/16.38 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10481,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 25.02/16.38 tff(10482,plain,
% 25.02/16.38 (nextState(constB90, constB91)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10481, 10480])).
% 25.02/16.38 tff(10483,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10484,plain,
% 25.02/16.38 (((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10485,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10484])).
% 25.02/16.38 tff(10486,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10485, 10483])).
% 25.02/16.38 tff(10487,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10488,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10487, 10486])).
% 25.02/16.38 tff(10489,plain,
% 25.02/16.38 (~v95(constB91)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10488, 73, 10482, 10479])).
% 25.02/16.38 tff(10490,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10491,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10492,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10491, 10490])).
% 25.02/16.38 tff(10493,plain,
% 25.02/16.38 (v95(constB91) | (~v94(constB91))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10492, 90, 10482])).
% 25.02/16.38 tff(10494,plain,
% 25.02/16.38 (~v94(constB91)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10493, 10489])).
% 25.02/16.38 tff(10495,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10496,plain,
% 25.02/16.38 (((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2))) <=> (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10497,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10496])).
% 25.02/16.38 tff(10498,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 25.02/16.38 inference(transitivity,[status(thm)],[10497, 10495])).
% 25.02/16.38 tff(10499,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB90, constB91)) | v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2)))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10500,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB90, bitIndex2) | (~nextState(constB90, constB91)) | v94(constB91) | (~v84(constB91, bitIndex2))),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10499, 10498])).
% 25.02/16.38 tff(10501,plain,
% 25.02/16.38 (v84(constB90, bitIndex2) | v94(constB91) | (~v84(constB91, bitIndex2))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10500, 105, 10482])).
% 25.02/16.38 tff(10502,plain,
% 25.02/16.38 (v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2))),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10501, 10494])).
% 25.02/16.38 tff(10503,plain,
% 25.02/16.38 (~v84(constB91, bitIndex2)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10502, 10476])).
% 25.02/16.38 tff(10504,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB89)) | v124(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB89)) | v124(constB89, bitIndex1))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10505,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB89)) | v124(constB89, bitIndex1))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10506,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB89)) | v124(constB89, bitIndex1)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 25.02/16.38 tff(10507,plain,
% 25.02/16.38 (v124(constB89, bitIndex1)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10506, 1102, 10372])).
% 25.02/16.38 tff(10508,plain,
% 25.02/16.38 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10509,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10510,plain,
% 25.02/16.38 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB89) | (~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10509, 10508])).
% 25.02/16.38 tff(10511,plain,
% 25.02/16.38 ((~v124(constB89, bitIndex1)) | v121(constB89, bitIndex1)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10510, 812, 10402])).
% 25.02/16.38 tff(10512,plain,
% 25.02/16.38 (v121(constB89, bitIndex1)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10511, 10507])).
% 25.02/16.38 tff(10513,plain,
% 25.02/16.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10514,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1))),
% 25.02/16.38 inference(quant_inst,[status(thm)],[])).
% 25.02/16.38 tff(10515,plain,
% 25.02/16.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1)),
% 25.02/16.38 inference(modus_ponens,[status(thm)],[10514, 10513])).
% 25.02/16.38 tff(10516,plain,
% 25.02/16.38 ((~v121(constB89, bitIndex1)) | v123(constB90, bitIndex1)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10515, 827, 10420])).
% 25.02/16.38 tff(10517,plain,
% 25.02/16.38 (v123(constB90, bitIndex1)),
% 25.02/16.38 inference(unit_resolution,[status(thm)],[10516, 10512])).
% 25.02/16.38 tff(10518,plain,
% 25.02/16.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10519,plain,
% 25.02/16.38 ((v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1))) <=> (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 25.02/16.38 inference(rewrite,[status(thm)],[])).
% 25.02/16.38 tff(10520,plain,
% 25.02/16.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90))))),
% 25.02/16.38 inference(monotonicity,[status(thm)],[10519])).
% 25.02/16.38 tff(10521,plain,
% 25.02/16.38 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90)))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10520, 10518])).
% 25.02/16.39 tff(10522,plain,
% 25.02/16.39 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1)))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10523,plain,
% 25.02/16.39 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)) | (~v94(constB90))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10522, 10521])).
% 25.02/16.39 tff(10524,plain,
% 25.02/16.39 (v84(constB90, bitIndex1) | (~v94(constB90))),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10523, 842, 10517])).
% 25.02/16.39 tff(10525,plain,
% 25.02/16.39 (v84(constB90, bitIndex1)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10524, 10454])).
% 25.02/16.39 tff(10526,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10527,plain,
% 25.02/16.39 (((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1)) <=> ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10528,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1)))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10527])).
% 25.02/16.39 tff(10529,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10528, 10526])).
% 25.02/16.39 tff(10530,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10531,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB90, bitIndex1)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex1)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 25.02/16.39 tff(10532,plain,
% 25.02/16.39 ((~v84(constB90, bitIndex1)) | v94(constB91) | v84(constB91, bitIndex1)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10531, 860, 10482])).
% 25.02/16.39 tff(10533,plain,
% 25.02/16.39 ((~v84(constB90, bitIndex1)) | v84(constB91, bitIndex1)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10532, 10494])).
% 25.02/16.39 tff(10534,plain,
% 25.02/16.39 (v84(constB91, bitIndex1)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10533, 10525])).
% 25.02/16.39 tff(10535,assumption,(~v84(constB89, bitIndex0)), introduced(assumption)).
% 25.02/16.39 tff(10536,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB89)) | v84(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB89)) | v84(constB89, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10537,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB89)) | v84(constB89, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10538,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB89)) | v84(constB89, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10537, 10536])).
% 25.02/16.39 tff(10539,plain,
% 25.02/16.39 (~v116(constB89)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10538, 4826, 10535])).
% 25.02/16.39 tff(10540,assumption,(~v124(constB89, bitIndex0)), introduced(assumption)).
% 25.02/16.39 tff(10541,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB89)) | v124(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB89)) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10542,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB89)) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10543,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB89)) | v124(constB89, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10542, 10541])).
% 25.02/16.39 tff(10544,plain,
% 25.02/16.39 (~v113(constB89)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10543, 533, 10540])).
% 25.02/16.39 tff(10545,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB89)) | v124(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB89)) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10546,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB89)) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10547,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB89)) | v124(constB89, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10546, 10545])).
% 25.02/16.39 tff(10548,plain,
% 25.02/16.39 (~v172(constB89)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10547, 1636, 10540])).
% 25.02/16.39 tff(10549,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB89)) | v124(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB89)) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10550,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB89)) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10551,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB89)) | v124(constB89, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10550, 10549])).
% 25.02/16.39 tff(10552,plain,
% 25.02/16.39 (~v115(constB89)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10551, 1140, 10540])).
% 25.02/16.39 tff(10553,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB89)) | v84(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB89)) | v84(constB89, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10554,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB89)) | v84(constB89, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10555,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB89)) | v84(constB89, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 25.02/16.39 tff(10556,plain,
% 25.02/16.39 (~v145(constB89)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10555, 4848, 10535])).
% 25.02/16.39 tff(10557,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v118(constB89)) | v84(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v118(constB89)) | v84(constB89, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10558,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v118(constB89)) | v84(constB89, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10559,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v118(constB89)) | v84(constB89, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 25.02/16.39 tff(10560,plain,
% 25.02/16.39 (~v118(constB89)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10559, 4837, 10535])).
% 25.02/16.39 tff(10561,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB89) | v172(constB89) | v115(constB89) | v145(constB89) | v118(constB89) | v116(constB89) | v124(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB89) | v172(constB89) | v115(constB89) | v145(constB89) | v118(constB89) | v116(constB89) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10562,plain,
% 25.02/16.39 ((v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | v124(constB89, bitIndex0)) <=> (v113(constB89) | v172(constB89) | v115(constB89) | v145(constB89) | v118(constB89) | v116(constB89) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10563,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | v124(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB89) | v172(constB89) | v115(constB89) | v145(constB89) | v118(constB89) | v116(constB89) | v124(constB89, bitIndex0)))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10562])).
% 25.02/16.39 tff(10564,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | v124(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB89) | v172(constB89) | v115(constB89) | v145(constB89) | v118(constB89) | v116(constB89) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10563, 10561])).
% 25.02/16.39 tff(10565,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | v124(constB89, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10566,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB89) | v172(constB89) | v115(constB89) | v145(constB89) | v118(constB89) | v116(constB89) | v124(constB89, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10565, 10564])).
% 25.02/16.39 tff(10567,plain,
% 25.02/16.39 (v113(constB89) | v172(constB89) | v115(constB89) | v145(constB89) | v118(constB89) | v116(constB89)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10566, 2152, 10540])).
% 25.02/16.39 tff(10568,plain,
% 25.02/16.39 ($false),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10567, 10560, 10556, 10552, 10548, 10544, 10539])).
% 25.02/16.39 tff(10569,plain,(v84(constB89, bitIndex0) | v124(constB89, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.02/16.39 tff(10570,plain,
% 25.02/16.39 (v124(constB89, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10569, 10368])).
% 25.02/16.39 tff(10571,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10572,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10573,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB89) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10572, 10571])).
% 25.02/16.39 tff(10574,plain,
% 25.02/16.39 ((~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10573, 547, 10402])).
% 25.02/16.39 tff(10575,plain,
% 25.02/16.39 (v121(constB89, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10574, 10570])).
% 25.02/16.39 tff(10576,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10577,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10578,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB89, constB90)) | (~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10577, 10576])).
% 25.02/16.39 tff(10579,plain,
% 25.02/16.39 ((~v121(constB89, bitIndex0)) | v123(constB90, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10578, 562, 10420])).
% 25.02/16.39 tff(10580,plain,
% 25.02/16.39 (v123(constB90, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10579, 10575])).
% 25.02/16.39 tff(10581,plain,
% 25.02/16.39 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10582,plain,
% 25.02/16.39 ((v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0))) <=> (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10583,plain,
% 25.02/16.39 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90))))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10582])).
% 25.02/16.39 tff(10584,plain,
% 25.02/16.39 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90)))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10583, 10581])).
% 25.02/16.39 tff(10585,plain,
% 25.02/16.39 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0)))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10586,plain,
% 25.02/16.39 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)) | (~v94(constB90))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10585, 10584])).
% 25.02/16.39 tff(10587,plain,
% 25.02/16.39 (v84(constB90, bitIndex0) | (~v94(constB90))),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10586, 577, 10580])).
% 25.02/16.39 tff(10588,plain,
% 25.02/16.39 (v84(constB90, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10587, 10454])).
% 25.02/16.39 tff(10589,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10590,plain,
% 25.02/16.39 (((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0)) <=> ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10591,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0)))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10590])).
% 25.02/16.39 tff(10592,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10591, 10589])).
% 25.02/16.39 tff(10593,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB90, constB91)) | (~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10594,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB90, bitIndex0)) | (~nextState(constB90, constB91)) | v94(constB91) | v84(constB91, bitIndex0)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10593, 10592])).
% 25.02/16.39 tff(10595,plain,
% 25.02/16.39 ((~v84(constB90, bitIndex0)) | v94(constB91) | v84(constB91, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10594, 595, 10482])).
% 25.02/16.39 tff(10596,plain,
% 25.02/16.39 ((~v84(constB90, bitIndex0)) | v84(constB91, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10595, 10494])).
% 25.02/16.39 tff(10597,plain,
% 25.02/16.39 (v84(constB91, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10596, 10588])).
% 25.02/16.39 tff(10598,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10599,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10600,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10599, 10598])).
% 25.02/16.39 tff(10601,plain,
% 25.02/16.39 (v116(constB91)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10600, 1181, 10597, 10534, 10503])).
% 25.02/16.39 tff(10602,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB91) | (~v116(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10603,plain,
% 25.02/16.39 (((~v116(constB91)) | v110(constB91)) <=> (v110(constB91) | (~v116(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10604,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB91)) | v110(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB91) | (~v116(constB91))))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10603])).
% 25.02/16.39 tff(10605,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB91)) | v110(constB91))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB91) | (~v116(constB91)))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10604, 10602])).
% 25.02/16.39 tff(10606,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB91)) | v110(constB91))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10607,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB91) | (~v116(constB91))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 25.02/16.39 tff(10608,plain,
% 25.02/16.39 (v110(constB91)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10607, 1192, 10601])).
% 25.02/16.39 tff(10609,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB91) | (~v110(constB91)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB91) | (~v110(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10610,plain,
% 25.02/16.39 (((~v110(constB91)) | v109(constB91)) <=> (v109(constB91) | (~v110(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10611,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB91)) | v109(constB91))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB91) | (~v110(constB91))))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10610])).
% 25.02/16.39 tff(10612,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB91)) | v109(constB91))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB91) | (~v110(constB91)))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10611, 10609])).
% 25.02/16.39 tff(10613,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB91)) | v109(constB91))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10614,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB91) | (~v110(constB91))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10613, 10612])).
% 25.02/16.39 tff(10615,plain,
% 25.02/16.39 (v109(constB91)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10614, 221, 10608])).
% 25.02/16.39 tff(10616,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB91)) | v108(constB91))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB91)) | v108(constB91))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10617,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB91)) | v108(constB91))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10618,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB91)) | v108(constB91)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10617, 10616])).
% 25.02/16.39 tff(10619,plain,
% 25.02/16.39 (v108(constB91)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10618, 235, 10615])).
% 25.02/16.39 tff(10620,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB91) | (~v108(constB91)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB91) | (~v108(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10621,plain,
% 25.02/16.39 (((~v108(constB91)) | v107(constB91)) <=> (v107(constB91) | (~v108(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10622,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB91)) | v107(constB91))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB91) | (~v108(constB91))))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10621])).
% 25.02/16.39 tff(10623,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB91)) | v107(constB91))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB91) | (~v108(constB91)))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10622, 10620])).
% 25.02/16.39 tff(10624,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB91)) | v107(constB91))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10625,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB91) | (~v108(constB91))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10624, 10623])).
% 25.02/16.39 tff(10626,plain,
% 25.02/16.39 (v107(constB91)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10625, 249, 10619])).
% 25.02/16.39 tff(10627,assumption,(v26(constB91)), introduced(assumption)).
% 25.02/16.39 tff(10628,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB91))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10629,plain,
% 25.02/16.39 ($false),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10628, 18, 10627])).
% 25.02/16.39 tff(10630,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 25.02/16.39 tff(10631,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10632,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10633,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10632, 10631])).
% 25.02/16.39 tff(10634,plain,
% 25.02/16.39 ((~v107(constB91)) | v106(constB91)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10633, 263, 10630])).
% 25.02/16.39 tff(10635,plain,
% 25.02/16.39 (v106(constB91)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10634, 10626])).
% 25.02/16.39 tff(10636,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB91) | (~v106(constB91)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB91) | (~v106(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10637,plain,
% 25.02/16.39 (((~v106(constB91)) | v102(constB91)) <=> (v102(constB91) | (~v106(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10638,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB91)) | v102(constB91))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB91) | (~v106(constB91))))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10637])).
% 25.02/16.39 tff(10639,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB91)) | v102(constB91))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB91) | (~v106(constB91)))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10638, 10636])).
% 25.02/16.39 tff(10640,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB91)) | v102(constB91))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10641,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB91) | (~v106(constB91))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10640, 10639])).
% 25.02/16.39 tff(10642,plain,
% 25.02/16.39 (v102(constB91)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10641, 275, 10635])).
% 25.02/16.39 tff(10643,plain,
% 25.02/16.39 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10644,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 25.02/16.39 tff(10645,plain,
% 25.02/16.39 (nextState(constB91, constB92)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10644, 10643])).
% 25.02/16.39 tff(10646,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10647,plain,
% 25.02/16.39 (((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92)) <=> ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10648,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10647])).
% 25.02/16.39 tff(10649,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10648, 10646])).
% 25.02/16.39 tff(10650,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10651,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 25.02/16.39 tff(10652,plain,
% 25.02/16.39 (v104(constB92) | (~v102(constB91))),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10651, 295, 10645])).
% 25.02/16.39 tff(10653,plain,
% 25.02/16.39 (v104(constB92)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10652, 10642])).
% 25.02/16.39 tff(10654,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10655,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10656,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10655, 10654])).
% 25.02/16.39 tff(10657,plain,
% 25.02/16.39 (~v98(constB92)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10656, 313, 10645, 10479])).
% 25.02/16.39 tff(10658,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10659,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10660,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10659, 10658])).
% 25.02/16.39 tff(10661,plain,
% 25.02/16.39 (v96(constB92) | v98(constB92)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10660, 327, 10645])).
% 25.02/16.39 tff(10662,plain,
% 25.02/16.39 (v96(constB92)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10661, 10657])).
% 25.02/16.39 tff(10663,plain,
% 25.02/16.39 (v1(constB92) <=> v1(constB92)),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10664,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 25.02/16.39 tff(10665,plain,
% 25.02/16.39 (v1(constB92)),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10664, 10663])).
% 25.02/16.39 tff(10666,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10667,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10668,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10667, 10666])).
% 25.02/16.39 tff(10669,plain,
% 25.02/16.39 (v95(constB92) | (~v96(constB92))),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10668, 345, 10645, 10665])).
% 25.02/16.39 tff(10670,plain,
% 25.02/16.39 (v95(constB92)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10669, 10662])).
% 25.02/16.39 tff(10671,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10672,plain,
% 25.02/16.39 (((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92)) <=> ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10673,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92))))),
% 25.02/16.39 inference(monotonicity,[status(thm)],[10672])).
% 25.02/16.39 tff(10674,plain,
% 25.02/16.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92)))),
% 25.02/16.39 inference(transitivity,[status(thm)],[10673, 10671])).
% 25.02/16.39 tff(10675,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10676,plain,
% 25.02/16.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | v94(constB92) | (~v95(constB92)) | (~v104(constB92))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10675, 10674])).
% 25.02/16.39 tff(10677,plain,
% 25.02/16.39 (v94(constB92) | (~v95(constB92)) | (~v104(constB92))),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10676, 360, 10645])).
% 25.02/16.39 tff(10678,plain,
% 25.02/16.39 (v94(constB92) | (~v104(constB92))),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10677, 10670])).
% 25.02/16.39 tff(10679,plain,
% 25.02/16.39 (v94(constB92)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10678, 10653])).
% 25.02/16.39 tff(10680,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB91)) | (~v124(constB91, bitIndex0)))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10681,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex0)))),
% 25.02/16.39 inference(quant_inst,[status(thm)],[])).
% 25.02/16.39 tff(10682,plain,
% 25.02/16.39 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB91)) | (~v124(constB91, bitIndex0))),
% 25.02/16.39 inference(modus_ponens,[status(thm)],[10681, 10680])).
% 25.02/16.39 tff(10683,plain,
% 25.02/16.39 (~v124(constB91, bitIndex0)),
% 25.02/16.39 inference(unit_resolution,[status(thm)],[10682, 1410, 10601])).
% 25.02/16.39 tff(10684,plain,
% 25.02/16.39 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 25.02/16.39 inference(rewrite,[status(thm)],[])).
% 25.02/16.39 tff(10685,plain,
% 25.02/16.39 ((v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0))) <=> ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10686,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0)))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10685])).
% 25.02/16.40 tff(10687,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10686, 10684])).
% 25.02/16.40 tff(10688,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB91) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10689,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB91, bitIndex0)) | v26(constB91) | v124(constB91, bitIndex0)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10688, 10687])).
% 25.02/16.40 tff(10690,plain,
% 25.02/16.40 ((~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10689, 890, 10630])).
% 25.02/16.40 tff(10691,plain,
% 25.02/16.40 (~v121(constB91, bitIndex0)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10690, 10683])).
% 25.02/16.40 tff(10692,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10693,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10694,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 25.02/16.40 tff(10695,plain,
% 25.02/16.40 (v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10694, 908, 10645])).
% 25.02/16.40 tff(10696,plain,
% 25.02/16.40 (~v123(constB92, bitIndex0)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10695, 10691])).
% 25.02/16.40 tff(10697,plain,
% 25.02/16.40 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10698,plain,
% 25.02/16.40 (((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0)) <=> ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10699,plain,
% 25.02/16.40 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92))))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10698])).
% 25.02/16.40 tff(10700,plain,
% 25.02/16.40 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92)))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10699, 10697])).
% 25.02/16.40 tff(10701,plain,
% 25.02/16.40 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB92, bitIndex0)) | (~v94(constB92)) | v123(constB92, bitIndex0))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10702,plain,
% 25.02/16.40 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0) | (~v94(constB92))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10701, 10700])).
% 25.02/16.40 tff(10703,plain,
% 25.02/16.40 ((~v84(constB92, bitIndex0)) | (~v94(constB92))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10702, 923, 10696])).
% 25.02/16.40 tff(10704,plain,
% 25.02/16.40 (~v84(constB92, bitIndex0)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10703, 10679])).
% 25.02/16.40 tff(10705,plain,
% 25.02/16.40 ((~v1(constB93)) <=> (~v1(constB93))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10706,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 25.02/16.40 tff(10707,plain,
% 25.02/16.40 (~v1(constB93)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 25.02/16.40 tff(10708,plain,
% 25.02/16.40 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10709,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 25.02/16.40 tff(10710,plain,
% 25.02/16.40 (nextState(constB92, constB93)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10709, 10708])).
% 25.02/16.40 tff(10711,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10712,plain,
% 25.02/16.40 (((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10713,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10712])).
% 25.02/16.40 tff(10714,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10713, 10711])).
% 25.02/16.40 tff(10715,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10716,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10715, 10714])).
% 25.02/16.40 tff(10717,plain,
% 25.02/16.40 (~v95(constB93)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10716, 73, 10710, 10707])).
% 25.02/16.40 tff(10718,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10719,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10720,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10719, 10718])).
% 25.02/16.40 tff(10721,plain,
% 25.02/16.40 (v95(constB93) | (~v94(constB93))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10720, 90, 10710])).
% 25.02/16.40 tff(10722,plain,
% 25.02/16.40 (~v94(constB93)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10721, 10717])).
% 25.02/16.40 tff(10723,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10724,plain,
% 25.02/16.40 (((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0))) <=> (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10725,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0))))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10724])).
% 25.02/16.40 tff(10726,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10725, 10723])).
% 25.02/16.40 tff(10727,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10728,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB92, bitIndex0) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex0))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10727, 10726])).
% 25.02/16.40 tff(10729,plain,
% 25.02/16.40 (v84(constB92, bitIndex0) | v94(constB93) | (~v84(constB93, bitIndex0))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10728, 147, 10710])).
% 25.02/16.40 tff(10730,plain,
% 25.02/16.40 (v84(constB92, bitIndex0) | (~v84(constB93, bitIndex0))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10729, 10722])).
% 25.02/16.40 tff(10731,plain,
% 25.02/16.40 (~v84(constB93, bitIndex0)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10730, 10704])).
% 25.02/16.40 tff(10732,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB91)) | v124(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB91)) | v124(constB91, bitIndex2))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10733,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB91)) | v124(constB91, bitIndex2))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10734,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB91)) | v124(constB91, bitIndex2)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10733, 10732])).
% 25.02/16.40 tff(10735,plain,
% 25.02/16.40 (v124(constB91, bitIndex2)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10734, 1273, 10601])).
% 25.02/16.40 tff(10736,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10737,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10738,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB91) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10737, 10736])).
% 25.02/16.40 tff(10739,plain,
% 25.02/16.40 ((~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10738, 1287, 10630])).
% 25.02/16.40 tff(10740,plain,
% 25.02/16.40 (v121(constB91, bitIndex2)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10739, 10735])).
% 25.02/16.40 tff(10741,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10742,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10743,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB91, constB92)) | (~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10742, 10741])).
% 25.02/16.40 tff(10744,plain,
% 25.02/16.40 ((~v121(constB91, bitIndex2)) | v123(constB92, bitIndex2)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10743, 1302, 10645])).
% 25.02/16.40 tff(10745,plain,
% 25.02/16.40 (v123(constB92, bitIndex2)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10744, 10740])).
% 25.02/16.40 tff(10746,plain,
% 25.02/16.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10747,plain,
% 25.02/16.40 ((v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2))) <=> (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10748,plain,
% 25.02/16.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92))))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10747])).
% 25.02/16.40 tff(10749,plain,
% 25.02/16.40 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92)))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10748, 10746])).
% 25.02/16.40 tff(10750,plain,
% 25.02/16.40 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB92, bitIndex2) | (~v94(constB92)) | (~v123(constB92, bitIndex2)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10751,plain,
% 25.02/16.40 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)) | (~v94(constB92))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10750, 10749])).
% 25.02/16.40 tff(10752,plain,
% 25.02/16.40 (v84(constB92, bitIndex2) | (~v94(constB92))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10751, 1317, 10745])).
% 25.02/16.40 tff(10753,plain,
% 25.02/16.40 (v84(constB92, bitIndex2)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10752, 10679])).
% 25.02/16.40 tff(10754,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10755,plain,
% 25.02/16.40 (((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2)) <=> ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10756,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2)))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10755])).
% 25.02/16.40 tff(10757,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10756, 10754])).
% 25.02/16.40 tff(10758,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB92, constB93)) | (~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10759,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB92, bitIndex2)) | (~nextState(constB92, constB93)) | v94(constB93) | v84(constB93, bitIndex2)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10758, 10757])).
% 25.02/16.40 tff(10760,plain,
% 25.02/16.40 ((~v84(constB92, bitIndex2)) | v94(constB93) | v84(constB93, bitIndex2)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10759, 1353, 10710])).
% 25.02/16.40 tff(10761,plain,
% 25.02/16.40 ((~v84(constB92, bitIndex2)) | v84(constB93, bitIndex2)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10760, 10722])).
% 25.02/16.40 tff(10762,plain,
% 25.02/16.40 (v84(constB93, bitIndex2)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10761, 10753])).
% 25.02/16.40 tff(10763,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB91)) | (~v124(constB91, bitIndex1)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10764,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB91)) | (~v124(constB91, bitIndex1)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10765,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB91)) | (~v124(constB91, bitIndex1))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10764, 10763])).
% 25.02/16.40 tff(10766,plain,
% 25.02/16.40 (~v124(constB91, bitIndex1)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10765, 1369, 10601])).
% 25.02/16.40 tff(10767,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10768,plain,
% 25.02/16.40 ((v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1))) <=> ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10769,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1)))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10768])).
% 25.02/16.40 tff(10770,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10769, 10767])).
% 25.02/16.40 tff(10771,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB91) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10772,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB91, bitIndex1)) | v26(constB91) | v124(constB91, bitIndex1)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10771, 10770])).
% 25.02/16.40 tff(10773,plain,
% 25.02/16.40 ((~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10772, 476, 10630])).
% 25.02/16.40 tff(10774,plain,
% 25.02/16.40 (~v121(constB91, bitIndex1)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10773, 10766])).
% 25.02/16.40 tff(10775,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10776,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10777,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB91, constB92)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10776, 10775])).
% 25.02/16.40 tff(10778,plain,
% 25.02/16.40 (v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10777, 494, 10645])).
% 25.02/16.40 tff(10779,plain,
% 25.02/16.40 (~v123(constB92, bitIndex1)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10778, 10774])).
% 25.02/16.40 tff(10780,plain,
% 25.02/16.40 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10781,plain,
% 25.02/16.40 (((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1)) <=> ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10782,plain,
% 25.02/16.40 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92))))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10781])).
% 25.02/16.40 tff(10783,plain,
% 25.02/16.40 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92)))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10782, 10780])).
% 25.02/16.40 tff(10784,plain,
% 25.02/16.40 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10785,plain,
% 25.02/16.40 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1) | (~v94(constB92))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10784, 10783])).
% 25.02/16.40 tff(10786,plain,
% 25.02/16.40 ((~v84(constB92, bitIndex1)) | (~v94(constB92))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10785, 509, 10779])).
% 25.02/16.40 tff(10787,plain,
% 25.02/16.40 (~v84(constB92, bitIndex1)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10786, 10679])).
% 25.02/16.40 tff(10788,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10789,plain,
% 25.02/16.40 (((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1))) <=> (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10790,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1))))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10789])).
% 25.02/16.40 tff(10791,plain,
% 25.02/16.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10790, 10788])).
% 25.02/16.40 tff(10792,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB92, constB93)) | v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10793,plain,
% 25.02/16.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB92, bitIndex1) | (~nextState(constB92, constB93)) | v94(constB93) | (~v84(constB93, bitIndex1))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10792, 10791])).
% 25.02/16.40 tff(10794,plain,
% 25.02/16.40 (v84(constB92, bitIndex1) | v94(constB93) | (~v84(constB93, bitIndex1))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10793, 126, 10710])).
% 25.02/16.40 tff(10795,plain,
% 25.02/16.40 (v84(constB92, bitIndex1) | (~v84(constB93, bitIndex1))),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10794, 10722])).
% 25.02/16.40 tff(10796,plain,
% 25.02/16.40 (~v84(constB93, bitIndex1)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10795, 10787])).
% 25.02/16.40 tff(10797,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10798,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10799,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 25.02/16.40 tff(10800,plain,
% 25.02/16.40 (v172(constB93)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10799, 1454, 10731, 10796, 10762])).
% 25.02/16.40 tff(10801,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB93)) | v124(constB93, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB93)) | v124(constB93, bitIndex0))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10802,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB93)) | v124(constB93, bitIndex0))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10803,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB93)) | v124(constB93, bitIndex0)),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10802, 10801])).
% 25.02/16.40 tff(10804,plain,
% 25.02/16.40 (v124(constB93, bitIndex0)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10803, 1636, 10800])).
% 25.02/16.40 tff(10805,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10806,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10807,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10806, 10805])).
% 25.02/16.40 tff(10808,plain,
% 25.02/16.40 (v109(constB93)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10807, 1468, 10800])).
% 25.02/16.40 tff(10809,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v109(constB93)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v109(constB93)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10810,plain,
% 25.02/16.40 (((~v109(constB93)) | v108(constB93)) <=> (v108(constB93) | (~v109(constB93)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10811,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB93) | (~v109(constB93))))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10810])).
% 25.02/16.40 tff(10812,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB93)) | v108(constB93))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v109(constB93)))),
% 25.02/16.40 inference(transitivity,[status(thm)],[10811, 10809])).
% 25.02/16.40 tff(10813,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB93)) | v108(constB93))),
% 25.02/16.40 inference(quant_inst,[status(thm)],[])).
% 25.02/16.40 tff(10814,plain,
% 25.02/16.40 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB93) | (~v109(constB93))),
% 25.02/16.40 inference(modus_ponens,[status(thm)],[10813, 10812])).
% 25.02/16.40 tff(10815,plain,
% 25.02/16.40 (v108(constB93)),
% 25.02/16.40 inference(unit_resolution,[status(thm)],[10814, 235, 10808])).
% 25.02/16.40 tff(10816,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB93) | (~v108(constB93)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB93) | (~v108(constB93)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10817,plain,
% 25.02/16.40 (((~v108(constB93)) | v107(constB93)) <=> (v107(constB93) | (~v108(constB93)))),
% 25.02/16.40 inference(rewrite,[status(thm)],[])).
% 25.02/16.40 tff(10818,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB93)) | v107(constB93))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB93) | (~v108(constB93))))),
% 25.02/16.40 inference(monotonicity,[status(thm)],[10817])).
% 25.02/16.40 tff(10819,plain,
% 25.02/16.40 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB93)) | v107(constB93))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB93) | (~v108(constB93)))),
% 25.09/16.41 inference(transitivity,[status(thm)],[10818, 10816])).
% 25.09/16.41 tff(10820,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB93)) | v107(constB93))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10821,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB93) | (~v108(constB93))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10820, 10819])).
% 25.09/16.41 tff(10822,plain,
% 25.09/16.41 (v107(constB93)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10821, 249, 10815])).
% 25.09/16.41 tff(10823,assumption,(v26(constB93)), introduced(assumption)).
% 25.09/16.41 tff(10824,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB93))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10825,plain,
% 25.09/16.41 ($false),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10824, 18, 10823])).
% 25.09/16.41 tff(10826,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.41 tff(10827,assumption,(~v26(constB93)), introduced(assumption)).
% 25.09/16.41 tff(10828,assumption,(v107(constB93)), introduced(assumption)).
% 25.09/16.41 tff(10829,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | (~v107(constB93)) | v106(constB93))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10830,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10831,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | (~v107(constB93)) | v106(constB93)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10830, 10829])).
% 25.09/16.41 tff(10832,plain,
% 25.09/16.41 (v26(constB93) | v106(constB93)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10831, 263, 10828])).
% 25.09/16.41 tff(10833,plain,
% 25.09/16.41 (v106(constB93)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10832, 10827])).
% 25.09/16.41 tff(10834,assumption,(v124(constB93, bitIndex0)), introduced(assumption)).
% 25.09/16.41 tff(10835,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB93) | (~v124(constB93, bitIndex0)) | v121(constB93, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB93) | (~v124(constB93, bitIndex0)) | v121(constB93, bitIndex0))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10836,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB93) | (~v124(constB93, bitIndex0)) | v121(constB93, bitIndex0))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10837,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB93) | (~v124(constB93, bitIndex0)) | v121(constB93, bitIndex0)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10836, 10835])).
% 25.09/16.41 tff(10838,plain,
% 25.09/16.41 (v26(constB93) | v121(constB93, bitIndex0)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10837, 547, 10834])).
% 25.09/16.41 tff(10839,plain,
% 25.09/16.41 (v121(constB93, bitIndex0)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10838, 10827])).
% 25.09/16.41 tff(10840,plain,
% 25.09/16.41 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10841,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 25.09/16.41 tff(10842,plain,
% 25.09/16.41 (nextState(constB93, constB94)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10841, 10840])).
% 25.09/16.41 tff(10843,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10844,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10845,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10844, 10843])).
% 25.09/16.41 tff(10846,plain,
% 25.09/16.41 ((~v121(constB93, bitIndex0)) | v123(constB94, bitIndex0)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10845, 562, 10842])).
% 25.09/16.41 tff(10847,plain,
% 25.09/16.41 (v123(constB94, bitIndex0)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10846, 10839])).
% 25.09/16.41 tff(10848,assumption,(~v84(constB94, bitIndex0)), introduced(assumption)).
% 25.09/16.41 tff(10849,plain,
% 25.09/16.41 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10850,plain,
% 25.09/16.41 ((v84(constB94, bitIndex0) | (~v94(constB94)) | (~v123(constB94, bitIndex0))) <=> (v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10851,plain,
% 25.09/16.41 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v94(constB94)) | (~v123(constB94, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94))))),
% 25.09/16.41 inference(monotonicity,[status(thm)],[10850])).
% 25.09/16.41 tff(10852,plain,
% 25.09/16.41 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v94(constB94)) | (~v123(constB94, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94)))),
% 25.09/16.41 inference(transitivity,[status(thm)],[10851, 10849])).
% 25.09/16.41 tff(10853,plain,
% 25.09/16.41 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB94, bitIndex0) | (~v94(constB94)) | (~v123(constB94, bitIndex0)))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10854,plain,
% 25.09/16.41 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)) | (~v94(constB94))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10853, 10852])).
% 25.09/16.41 tff(10855,plain,
% 25.09/16.41 ((~v123(constB94, bitIndex0)) | (~v94(constB94))),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10854, 577, 10848])).
% 25.09/16.41 tff(10856,plain,
% 25.09/16.41 (~v94(constB94)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10855, 10847])).
% 25.09/16.41 tff(10857,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10858,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10859,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10858, 10857])).
% 25.09/16.41 tff(10860,plain,
% 25.09/16.41 (~v98(constB94)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10859, 313, 10842, 10707])).
% 25.09/16.41 tff(10861,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10862,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10863,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10862, 10861])).
% 25.09/16.41 tff(10864,plain,
% 25.09/16.41 (v96(constB94) | v98(constB94)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10863, 327, 10842])).
% 25.09/16.41 tff(10865,plain,
% 25.09/16.41 (v96(constB94)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10864, 10860])).
% 25.09/16.41 tff(10866,plain,
% 25.09/16.41 (v1(constB94) <=> v1(constB94)),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10867,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 25.09/16.41 tff(10868,plain,
% 25.09/16.41 (v1(constB94)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10867, 10866])).
% 25.09/16.41 tff(10869,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10870,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10871,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 25.09/16.41 tff(10872,plain,
% 25.09/16.41 (v95(constB94) | (~v96(constB94))),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10871, 345, 10842, 10868])).
% 25.09/16.41 tff(10873,plain,
% 25.09/16.41 (v95(constB94)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10872, 10865])).
% 25.09/16.41 tff(10874,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10875,plain,
% 25.09/16.41 (((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94)) <=> ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10876,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94))))),
% 25.09/16.41 inference(monotonicity,[status(thm)],[10875])).
% 25.09/16.41 tff(10877,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94)))),
% 25.09/16.41 inference(transitivity,[status(thm)],[10876, 10874])).
% 25.09/16.41 tff(10878,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10879,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | v94(constB94) | (~v95(constB94)) | (~v104(constB94))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10878, 10877])).
% 25.09/16.41 tff(10880,plain,
% 25.09/16.41 (v94(constB94) | (~v95(constB94)) | (~v104(constB94))),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10879, 360, 10842])).
% 25.09/16.41 tff(10881,plain,
% 25.09/16.41 (v94(constB94) | (~v104(constB94))),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10880, 10873])).
% 25.09/16.41 tff(10882,plain,
% 25.09/16.41 (~v104(constB94)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10881, 10856])).
% 25.09/16.41 tff(10883,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10884,plain,
% 25.09/16.41 (((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94)) <=> ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10885,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))))),
% 25.09/16.41 inference(monotonicity,[status(thm)],[10884])).
% 25.09/16.41 tff(10886,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 25.09/16.41 inference(transitivity,[status(thm)],[10885, 10883])).
% 25.09/16.41 tff(10887,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10888,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10887, 10886])).
% 25.09/16.41 tff(10889,plain,
% 25.09/16.41 (v104(constB94) | (~v102(constB93))),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10888, 295, 10842])).
% 25.09/16.41 tff(10890,plain,
% 25.09/16.41 (~v102(constB93)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10889, 10882])).
% 25.09/16.41 tff(10891,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB93) | (~v106(constB93)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB93) | (~v106(constB93)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10892,plain,
% 25.09/16.41 (((~v106(constB93)) | v102(constB93)) <=> (v102(constB93) | (~v106(constB93)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10893,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB93)) | v102(constB93))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB93) | (~v106(constB93))))),
% 25.09/16.41 inference(monotonicity,[status(thm)],[10892])).
% 25.09/16.41 tff(10894,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB93)) | v102(constB93))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB93) | (~v106(constB93)))),
% 25.09/16.41 inference(transitivity,[status(thm)],[10893, 10891])).
% 25.09/16.41 tff(10895,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB93)) | v102(constB93))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10896,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB93) | (~v106(constB93))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10895, 10894])).
% 25.09/16.41 tff(10897,plain,
% 25.09/16.41 ($false),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10896, 275, 10890, 10833])).
% 25.09/16.41 tff(10898,plain,(v26(constB93) | v84(constB94, bitIndex0) | (~v107(constB93)) | (~v124(constB93, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.09/16.41 tff(10899,plain,
% 25.09/16.41 (v84(constB94, bitIndex0) | (~v107(constB93)) | (~v124(constB93, bitIndex0))),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10898, 10826])).
% 25.09/16.41 tff(10900,plain,
% 25.09/16.41 (v84(constB94, bitIndex0)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10899, 10822, 10804])).
% 25.09/16.41 tff(10901,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v94(constB94) | (~v84(constB94, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v94(constB94) | (~v84(constB94, bitIndex0)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10902,plain,
% 25.09/16.41 (((~nextState(constB93, constB94)) | v84(constB93, bitIndex0) | v94(constB94) | (~v84(constB94, bitIndex0))) <=> (v84(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v94(constB94) | (~v84(constB94, bitIndex0)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10903,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v84(constB93, bitIndex0) | v94(constB94) | (~v84(constB94, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v94(constB94) | (~v84(constB94, bitIndex0))))),
% 25.09/16.41 inference(monotonicity,[status(thm)],[10902])).
% 25.09/16.41 tff(10904,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v84(constB93, bitIndex0) | v94(constB94) | (~v84(constB94, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v94(constB94) | (~v84(constB94, bitIndex0)))),
% 25.09/16.41 inference(transitivity,[status(thm)],[10903, 10901])).
% 25.09/16.41 tff(10905,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB93, constB94)) | v84(constB93, bitIndex0) | v94(constB94) | (~v84(constB94, bitIndex0)))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10906,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB93, bitIndex0) | (~nextState(constB93, constB94)) | v94(constB94) | (~v84(constB94, bitIndex0))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10905, 10904])).
% 25.09/16.41 tff(10907,plain,
% 25.09/16.41 (v84(constB93, bitIndex0) | v94(constB94) | (~v84(constB94, bitIndex0))),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10906, 147, 10842])).
% 25.09/16.41 tff(10908,plain,
% 25.09/16.41 (v94(constB94)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10907, 10900, 10731])).
% 25.09/16.41 tff(10909,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB93)) | v124(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB93)) | v124(constB93, bitIndex2))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10910,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB93)) | v124(constB93, bitIndex2))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10911,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB93)) | v124(constB93, bitIndex2)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10910, 10909])).
% 25.09/16.41 tff(10912,plain,
% 25.09/16.41 (v124(constB93, bitIndex2)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10911, 1539, 10800])).
% 25.09/16.41 tff(10913,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10914,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10915,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB93) | (~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10914, 10913])).
% 25.09/16.41 tff(10916,plain,
% 25.09/16.41 ((~v124(constB93, bitIndex2)) | v121(constB93, bitIndex2)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10915, 1287, 10826])).
% 25.09/16.41 tff(10917,plain,
% 25.09/16.41 (v121(constB93, bitIndex2)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10916, 10912])).
% 25.09/16.41 tff(10918,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10919,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10920,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB93, constB94)) | (~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10919, 10918])).
% 25.09/16.41 tff(10921,plain,
% 25.09/16.41 ((~v121(constB93, bitIndex2)) | v123(constB94, bitIndex2)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10920, 1302, 10842])).
% 25.09/16.41 tff(10922,plain,
% 25.09/16.41 (v123(constB94, bitIndex2)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10921, 10917])).
% 25.09/16.41 tff(10923,plain,
% 25.09/16.41 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10924,plain,
% 25.09/16.41 ((v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2))) <=> (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10925,plain,
% 25.09/16.41 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94))))),
% 25.09/16.41 inference(monotonicity,[status(thm)],[10924])).
% 25.09/16.41 tff(10926,plain,
% 25.09/16.41 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94)))),
% 25.09/16.41 inference(transitivity,[status(thm)],[10925, 10923])).
% 25.09/16.41 tff(10927,plain,
% 25.09/16.41 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB94, bitIndex2) | (~v94(constB94)) | (~v123(constB94, bitIndex2)))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10928,plain,
% 25.09/16.41 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)) | (~v94(constB94))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10927, 10926])).
% 25.09/16.41 tff(10929,plain,
% 25.09/16.41 (v84(constB94, bitIndex2) | (~v94(constB94))),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10928, 1317, 10922])).
% 25.09/16.41 tff(10930,plain,
% 25.09/16.41 (v84(constB94, bitIndex2)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10929, 10908])).
% 25.09/16.41 tff(10931,plain,
% 25.09/16.41 ((~v1(constB95)) <=> (~v1(constB95))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10932,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 25.09/16.41 tff(10933,plain,
% 25.09/16.41 (~v1(constB95)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 25.09/16.41 tff(10934,plain,
% 25.09/16.41 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10935,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 25.09/16.41 tff(10936,plain,
% 25.09/16.41 (nextState(constB94, constB95)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 25.09/16.41 tff(10937,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10938,plain,
% 25.09/16.41 (((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10939,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))))),
% 25.09/16.41 inference(monotonicity,[status(thm)],[10938])).
% 25.09/16.41 tff(10940,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 25.09/16.41 inference(transitivity,[status(thm)],[10939, 10937])).
% 25.09/16.41 tff(10941,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10942,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10941, 10940])).
% 25.09/16.41 tff(10943,plain,
% 25.09/16.41 (~v95(constB95)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10942, 73, 10936, 10933])).
% 25.09/16.41 tff(10944,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10945,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10946,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10945, 10944])).
% 25.09/16.41 tff(10947,plain,
% 25.09/16.41 (v95(constB95) | (~v94(constB95))),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10946, 90, 10936])).
% 25.09/16.41 tff(10948,plain,
% 25.09/16.41 (~v94(constB95)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10947, 10943])).
% 25.09/16.41 tff(10949,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10950,plain,
% 25.09/16.41 (((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2)) <=> ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10951,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2)))),
% 25.09/16.41 inference(monotonicity,[status(thm)],[10950])).
% 25.09/16.41 tff(10952,plain,
% 25.09/16.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2))),
% 25.09/16.41 inference(transitivity,[status(thm)],[10951, 10949])).
% 25.09/16.41 tff(10953,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10954,plain,
% 25.09/16.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB94, bitIndex2)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex2)),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10953, 10952])).
% 25.09/16.41 tff(10955,plain,
% 25.09/16.41 ((~v84(constB94, bitIndex2)) | v94(constB95) | v84(constB95, bitIndex2)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10954, 1353, 10936])).
% 25.09/16.41 tff(10956,plain,
% 25.09/16.41 ((~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10955, 10948])).
% 25.09/16.41 tff(10957,plain,
% 25.09/16.41 (v84(constB95, bitIndex2)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10956, 10930])).
% 25.09/16.41 tff(10958,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB93)) | (~v124(constB93, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB93)) | (~v124(constB93, bitIndex1)))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10959,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB93)) | (~v124(constB93, bitIndex1)))),
% 25.09/16.41 inference(quant_inst,[status(thm)],[])).
% 25.09/16.41 tff(10960,plain,
% 25.09/16.41 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB93)) | (~v124(constB93, bitIndex1))),
% 25.09/16.41 inference(modus_ponens,[status(thm)],[10959, 10958])).
% 25.09/16.41 tff(10961,plain,
% 25.09/16.41 (~v124(constB93, bitIndex1)),
% 25.09/16.41 inference(unit_resolution,[status(thm)],[10960, 1595, 10800])).
% 25.09/16.41 tff(10962,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10963,plain,
% 25.09/16.41 ((v26(constB93) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1))) <=> ((~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1))),
% 25.09/16.41 inference(rewrite,[status(thm)],[])).
% 25.09/16.41 tff(10964,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB93) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1)))),
% 25.09/16.41 inference(monotonicity,[status(thm)],[10963])).
% 25.09/16.41 tff(10965,plain,
% 25.09/16.41 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB93) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1))),
% 25.09/16.42 inference(transitivity,[status(thm)],[10964, 10962])).
% 25.09/16.42 tff(10966,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB93) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1)))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(10967,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB93, bitIndex1)) | v26(constB93) | v124(constB93, bitIndex1)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[10966, 10965])).
% 25.09/16.42 tff(10968,plain,
% 25.09/16.42 ((~v121(constB93, bitIndex1)) | v124(constB93, bitIndex1)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10967, 476, 10826])).
% 25.09/16.42 tff(10969,plain,
% 25.09/16.42 (~v121(constB93, bitIndex1)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10968, 10961])).
% 25.09/16.42 tff(10970,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(10971,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB93, constB94)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(10972,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB93, constB94)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[10971, 10970])).
% 25.09/16.42 tff(10973,plain,
% 25.09/16.42 (v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10972, 494, 10842])).
% 25.09/16.42 tff(10974,plain,
% 25.09/16.42 (~v123(constB94, bitIndex1)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10973, 10969])).
% 25.09/16.42 tff(10975,plain,
% 25.09/16.42 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(10976,plain,
% 25.09/16.42 (((~v84(constB94, bitIndex1)) | (~v94(constB94)) | v123(constB94, bitIndex1)) <=> ((~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(10977,plain,
% 25.09/16.42 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~v94(constB94)) | v123(constB94, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94))))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[10976])).
% 25.09/16.42 tff(10978,plain,
% 25.09/16.42 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~v94(constB94)) | v123(constB94, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94)))),
% 25.09/16.42 inference(transitivity,[status(thm)],[10977, 10975])).
% 25.09/16.42 tff(10979,plain,
% 25.09/16.42 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB94, bitIndex1)) | (~v94(constB94)) | v123(constB94, bitIndex1))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(10980,plain,
% 25.09/16.42 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1) | (~v94(constB94))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[10979, 10978])).
% 25.09/16.42 tff(10981,plain,
% 25.09/16.42 ((~v84(constB94, bitIndex1)) | (~v94(constB94))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10980, 509, 10974])).
% 25.09/16.42 tff(10982,plain,
% 25.09/16.42 (~v84(constB94, bitIndex1)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10981, 10908])).
% 25.09/16.42 tff(10983,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(10984,plain,
% 25.09/16.42 (((~nextState(constB94, constB95)) | v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1))) <=> (v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(10985,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1))))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[10984])).
% 25.09/16.42 tff(10986,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1)))),
% 25.09/16.42 inference(transitivity,[status(thm)],[10985, 10983])).
% 25.09/16.42 tff(10987,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB94, constB95)) | v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1)))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(10988,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB94, bitIndex1) | (~nextState(constB94, constB95)) | v94(constB95) | (~v84(constB95, bitIndex1))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[10987, 10986])).
% 25.09/16.42 tff(10989,plain,
% 25.09/16.42 (v84(constB94, bitIndex1) | v94(constB95) | (~v84(constB95, bitIndex1))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10988, 126, 10936])).
% 25.09/16.42 tff(10990,plain,
% 25.09/16.42 (v84(constB94, bitIndex1) | (~v84(constB95, bitIndex1))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10989, 10948])).
% 25.09/16.42 tff(10991,plain,
% 25.09/16.42 (~v84(constB95, bitIndex1)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10990, 10982])).
% 25.09/16.42 tff(10992,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(10993,plain,
% 25.09/16.42 (((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0)) <=> ((~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(10994,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0)))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[10993])).
% 25.09/16.42 tff(10995,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0))),
% 25.09/16.42 inference(transitivity,[status(thm)],[10994, 10992])).
% 25.09/16.42 tff(10996,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB94, constB95)) | (~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(10997,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB94, bitIndex0)) | (~nextState(constB94, constB95)) | v94(constB95) | v84(constB95, bitIndex0)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[10996, 10995])).
% 25.09/16.42 tff(10998,plain,
% 25.09/16.42 ((~v84(constB94, bitIndex0)) | v94(constB95) | v84(constB95, bitIndex0)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10997, 595, 10936])).
% 25.09/16.42 tff(10999,plain,
% 25.09/16.42 ((~v84(constB94, bitIndex0)) | v84(constB95, bitIndex0)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10998, 10948])).
% 25.09/16.42 tff(11000,plain,
% 25.09/16.42 (v84(constB95, bitIndex0)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[10999, 10900])).
% 25.09/16.42 tff(11001,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11002,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11003,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11002, 11001])).
% 25.09/16.42 tff(11004,plain,
% 25.09/16.42 (v118(constB95)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11003, 1677, 11000, 10991, 10957])).
% 25.09/16.42 tff(11005,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB95)) | v108(constB95))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB95)) | v108(constB95))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11006,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB95)) | v108(constB95))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11007,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB95)) | v108(constB95)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11006, 11005])).
% 25.09/16.42 tff(11008,plain,
% 25.09/16.42 (v108(constB95)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11007, 1688, 11004])).
% 25.09/16.42 tff(11009,assumption,(~v107(constB95)), introduced(assumption)).
% 25.09/16.42 tff(11010,assumption,(v108(constB95)), introduced(assumption)).
% 25.09/16.42 tff(11011,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB95) | (~v108(constB95)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB95) | (~v108(constB95)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11012,plain,
% 25.09/16.42 (((~v108(constB95)) | v107(constB95)) <=> (v107(constB95) | (~v108(constB95)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11013,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB95)) | v107(constB95))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB95) | (~v108(constB95))))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[11012])).
% 25.09/16.42 tff(11014,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB95)) | v107(constB95))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB95) | (~v108(constB95)))),
% 25.09/16.42 inference(transitivity,[status(thm)],[11013, 11011])).
% 25.09/16.42 tff(11015,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB95)) | v107(constB95))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11016,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB95) | (~v108(constB95))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11015, 11014])).
% 25.09/16.42 tff(11017,plain,
% 25.09/16.42 ($false),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11016, 249, 11010, 11009])).
% 25.09/16.42 tff(11018,plain,(v107(constB95) | (~v108(constB95))), inference(lemma,lemma(discharge,[]))).
% 25.09/16.42 tff(11019,plain,
% 25.09/16.42 (v107(constB95)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11018, 11008])).
% 25.09/16.42 tff(11020,assumption,(v26(constB95)), introduced(assumption)).
% 25.09/16.42 tff(11021,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB95))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11022,plain,
% 25.09/16.42 ($false),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11021, 18, 11020])).
% 25.09/16.42 tff(11023,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.42 tff(11024,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | v106(constB95) | (~v107(constB95)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11025,plain,
% 25.09/16.42 ((v26(constB95) | (~v107(constB95)) | v106(constB95)) <=> (v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11026,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | v106(constB95) | (~v107(constB95))))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[11025])).
% 25.09/16.42 tff(11027,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 25.09/16.42 inference(transitivity,[status(thm)],[11026, 11024])).
% 25.09/16.42 tff(11028,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11029,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11028, 11027])).
% 25.09/16.42 tff(11030,plain,
% 25.09/16.42 (v106(constB95) | (~v107(constB95))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11029, 263, 11023])).
% 25.09/16.42 tff(11031,plain,
% 25.09/16.42 (v106(constB95)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11030, 11019])).
% 25.09/16.42 tff(11032,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB95) | (~v106(constB95)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB95) | (~v106(constB95)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11033,plain,
% 25.09/16.42 (((~v106(constB95)) | v102(constB95)) <=> (v102(constB95) | (~v106(constB95)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11034,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB95)) | v102(constB95))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB95) | (~v106(constB95))))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[11033])).
% 25.09/16.42 tff(11035,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB95)) | v102(constB95))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB95) | (~v106(constB95)))),
% 25.09/16.42 inference(transitivity,[status(thm)],[11034, 11032])).
% 25.09/16.42 tff(11036,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB95)) | v102(constB95))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11037,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB95) | (~v106(constB95))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11036, 11035])).
% 25.09/16.42 tff(11038,plain,
% 25.09/16.42 (v102(constB95)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11037, 275, 11031])).
% 25.09/16.42 tff(11039,plain,
% 25.09/16.42 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11040,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 25.09/16.42 tff(11041,plain,
% 25.09/16.42 (nextState(constB95, constB96)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11040, 11039])).
% 25.09/16.42 tff(11042,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11043,plain,
% 25.09/16.42 (((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96)) <=> ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11044,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[11043])).
% 25.09/16.42 tff(11045,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 25.09/16.42 inference(transitivity,[status(thm)],[11044, 11042])).
% 25.09/16.42 tff(11046,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11047,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11046, 11045])).
% 25.09/16.42 tff(11048,plain,
% 25.09/16.42 (v104(constB96) | (~v102(constB95))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11047, 295, 11041])).
% 25.09/16.42 tff(11049,plain,
% 25.09/16.42 (v104(constB96)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11048, 11038])).
% 25.09/16.42 tff(11050,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11051,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11052,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11051, 11050])).
% 25.09/16.42 tff(11053,plain,
% 25.09/16.42 (~v98(constB96)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11052, 313, 11041, 10933])).
% 25.09/16.42 tff(11054,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11055,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11056,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11055, 11054])).
% 25.09/16.42 tff(11057,plain,
% 25.09/16.42 (v96(constB96) | v98(constB96)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11056, 327, 11041])).
% 25.09/16.42 tff(11058,plain,
% 25.09/16.42 (v96(constB96)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11057, 11053])).
% 25.09/16.42 tff(11059,plain,
% 25.09/16.42 (v1(constB96) <=> v1(constB96)),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11060,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 25.09/16.42 tff(11061,plain,
% 25.09/16.42 (v1(constB96)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11060, 11059])).
% 25.09/16.42 tff(11062,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11063,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11064,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11063, 11062])).
% 25.09/16.42 tff(11065,plain,
% 25.09/16.42 (v95(constB96) | (~v96(constB96))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11064, 345, 11041, 11061])).
% 25.09/16.42 tff(11066,plain,
% 25.09/16.42 (v95(constB96)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11065, 11058])).
% 25.09/16.42 tff(11067,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11068,plain,
% 25.09/16.42 (((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96)) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11069,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96))))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[11068])).
% 25.09/16.42 tff(11070,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96)))),
% 25.09/16.42 inference(transitivity,[status(thm)],[11069, 11067])).
% 25.09/16.42 tff(11071,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11072,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | v94(constB96) | (~v95(constB96)) | (~v104(constB96))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11071, 11070])).
% 25.09/16.42 tff(11073,plain,
% 25.09/16.42 (v94(constB96) | (~v95(constB96)) | (~v104(constB96))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11072, 360, 11041])).
% 25.09/16.42 tff(11074,plain,
% 25.09/16.42 (v94(constB96) | (~v104(constB96))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11073, 11066])).
% 25.09/16.42 tff(11075,plain,
% 25.09/16.42 (v94(constB96)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11074, 11049])).
% 25.09/16.42 tff(11076,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB95)) | v124(constB95, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB95)) | v124(constB95, bitIndex2))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11077,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB95)) | v124(constB95, bitIndex2))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11078,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB95)) | v124(constB95, bitIndex2)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11077, 11076])).
% 25.09/16.42 tff(11079,plain,
% 25.09/16.42 (v124(constB95, bitIndex2)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11078, 1761, 11004])).
% 25.09/16.42 tff(11080,plain,
% 25.09/16.42 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB95) | (~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB95) | (~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11081,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB95) | (~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11082,plain,
% 25.09/16.42 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB95) | (~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11081, 11080])).
% 25.09/16.42 tff(11083,plain,
% 25.09/16.42 ((~v124(constB95, bitIndex2)) | v121(constB95, bitIndex2)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11082, 1287, 11023])).
% 25.09/16.42 tff(11084,plain,
% 25.09/16.42 (v121(constB95, bitIndex2)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11083, 11079])).
% 25.09/16.42 tff(11085,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11086,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11087,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11086, 11085])).
% 25.09/16.42 tff(11088,plain,
% 25.09/16.42 ((~v121(constB95, bitIndex2)) | v123(constB96, bitIndex2)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11087, 1302, 11041])).
% 25.09/16.42 tff(11089,plain,
% 25.09/16.42 (v123(constB96, bitIndex2)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11088, 11084])).
% 25.09/16.42 tff(11090,plain,
% 25.09/16.42 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11091,plain,
% 25.09/16.42 ((v84(constB96, bitIndex2) | (~v94(constB96)) | (~v123(constB96, bitIndex2))) <=> (v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11092,plain,
% 25.09/16.42 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v94(constB96)) | (~v123(constB96, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96))))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[11091])).
% 25.09/16.42 tff(11093,plain,
% 25.09/16.42 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v94(constB96)) | (~v123(constB96, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96)))),
% 25.09/16.42 inference(transitivity,[status(thm)],[11092, 11090])).
% 25.09/16.42 tff(11094,plain,
% 25.09/16.42 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB96, bitIndex2) | (~v94(constB96)) | (~v123(constB96, bitIndex2)))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11095,plain,
% 25.09/16.42 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)) | (~v94(constB96))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11094, 11093])).
% 25.09/16.42 tff(11096,plain,
% 25.09/16.42 (v84(constB96, bitIndex2) | (~v94(constB96))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11095, 1317, 11089])).
% 25.09/16.42 tff(11097,plain,
% 25.09/16.42 (v84(constB96, bitIndex2)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11096, 11075])).
% 25.09/16.42 tff(11098,plain,
% 25.09/16.42 ((~v1(constB97)) <=> (~v1(constB97))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11099,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 25.09/16.42 tff(11100,plain,
% 25.09/16.42 (~v1(constB97)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11099, 11098])).
% 25.09/16.42 tff(11101,plain,
% 25.09/16.42 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11102,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 25.09/16.42 tff(11103,plain,
% 25.09/16.42 (nextState(constB96, constB97)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11102, 11101])).
% 25.09/16.42 tff(11104,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11105,plain,
% 25.09/16.42 (((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11106,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[11105])).
% 25.09/16.42 tff(11107,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 25.09/16.42 inference(transitivity,[status(thm)],[11106, 11104])).
% 25.09/16.42 tff(11108,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11109,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11108, 11107])).
% 25.09/16.42 tff(11110,plain,
% 25.09/16.42 (~v95(constB97)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11109, 73, 11103, 11100])).
% 25.09/16.42 tff(11111,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11112,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11113,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97))),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11112, 11111])).
% 25.09/16.42 tff(11114,plain,
% 25.09/16.42 (v95(constB97) | (~v94(constB97))),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11113, 90, 11103])).
% 25.09/16.42 tff(11115,plain,
% 25.09/16.42 (~v94(constB97)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11114, 11110])).
% 25.09/16.42 tff(11116,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11117,plain,
% 25.09/16.42 (((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2)) <=> ((~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2))),
% 25.09/16.42 inference(rewrite,[status(thm)],[])).
% 25.09/16.42 tff(11118,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2)))),
% 25.09/16.42 inference(monotonicity,[status(thm)],[11117])).
% 25.09/16.42 tff(11119,plain,
% 25.09/16.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2))),
% 25.09/16.42 inference(transitivity,[status(thm)],[11118, 11116])).
% 25.09/16.42 tff(11120,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2))),
% 25.09/16.42 inference(quant_inst,[status(thm)],[])).
% 25.09/16.42 tff(11121,plain,
% 25.09/16.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB96, bitIndex2)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex2)),
% 25.09/16.42 inference(modus_ponens,[status(thm)],[11120, 11119])).
% 25.09/16.42 tff(11122,plain,
% 25.09/16.42 ((~v84(constB96, bitIndex2)) | v94(constB97) | v84(constB97, bitIndex2)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11121, 1353, 11103])).
% 25.09/16.42 tff(11123,plain,
% 25.09/16.42 ((~v84(constB96, bitIndex2)) | v84(constB97, bitIndex2)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11122, 11115])).
% 25.09/16.42 tff(11124,plain,
% 25.09/16.42 (v84(constB97, bitIndex2)),
% 25.09/16.42 inference(unit_resolution,[status(thm)],[11123, 11097])).
% 25.09/16.42 tff(11125,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB95)) | v124(constB95, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB95)) | v124(constB95, bitIndex1))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11126,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB95)) | v124(constB95, bitIndex1))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11127,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB95)) | v124(constB95, bitIndex1)),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11126, 11125])).
% 25.09/16.43 tff(11128,plain,
% 25.09/16.43 (v124(constB95, bitIndex1)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11127, 1817, 11004])).
% 25.09/16.43 tff(11129,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB95) | (~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB95) | (~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11130,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB95) | (~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11131,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB95) | (~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1)),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11130, 11129])).
% 25.09/16.43 tff(11132,plain,
% 25.09/16.43 ((~v124(constB95, bitIndex1)) | v121(constB95, bitIndex1)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11131, 812, 11023])).
% 25.09/16.43 tff(11133,plain,
% 25.09/16.43 (v121(constB95, bitIndex1)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11132, 11128])).
% 25.09/16.43 tff(11134,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11135,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB95, constB96)) | (~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11136,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB95, constB96)) | (~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1)),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11135, 11134])).
% 25.09/16.43 tff(11137,plain,
% 25.09/16.43 ((~v121(constB95, bitIndex1)) | v123(constB96, bitIndex1)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11136, 827, 11041])).
% 25.09/16.43 tff(11138,plain,
% 25.09/16.43 (v123(constB96, bitIndex1)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11137, 11133])).
% 25.09/16.43 tff(11139,plain,
% 25.09/16.43 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11140,plain,
% 25.09/16.43 ((v84(constB96, bitIndex1) | (~v94(constB96)) | (~v123(constB96, bitIndex1))) <=> (v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11141,plain,
% 25.09/16.43 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v94(constB96)) | (~v123(constB96, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96))))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11140])).
% 25.09/16.43 tff(11142,plain,
% 25.09/16.43 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v94(constB96)) | (~v123(constB96, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96)))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11141, 11139])).
% 25.09/16.43 tff(11143,plain,
% 25.09/16.43 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB96, bitIndex1) | (~v94(constB96)) | (~v123(constB96, bitIndex1)))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11144,plain,
% 25.09/16.43 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)) | (~v94(constB96))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11143, 11142])).
% 25.09/16.43 tff(11145,plain,
% 25.09/16.43 (v84(constB96, bitIndex1) | (~v94(constB96))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11144, 842, 11138])).
% 25.09/16.43 tff(11146,plain,
% 25.09/16.43 (v84(constB96, bitIndex1)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11145, 11075])).
% 25.09/16.43 tff(11147,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11148,plain,
% 25.09/16.43 (((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1)) <=> ((~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11149,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1)))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11148])).
% 25.09/16.43 tff(11150,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11149, 11147])).
% 25.09/16.43 tff(11151,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB96, constB97)) | (~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11152,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB96, bitIndex1)) | (~nextState(constB96, constB97)) | v94(constB97) | v84(constB97, bitIndex1)),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11151, 11150])).
% 25.09/16.43 tff(11153,plain,
% 25.09/16.43 ((~v84(constB96, bitIndex1)) | v94(constB97) | v84(constB97, bitIndex1)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11152, 860, 11103])).
% 25.09/16.43 tff(11154,plain,
% 25.09/16.43 ((~v84(constB96, bitIndex1)) | v84(constB97, bitIndex1)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11153, 11115])).
% 25.09/16.43 tff(11155,plain,
% 25.09/16.43 (v84(constB97, bitIndex1)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11154, 11146])).
% 25.09/16.43 tff(11156,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB95)) | (~v124(constB95, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB95)) | (~v124(constB95, bitIndex0)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11157,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB95)) | (~v124(constB95, bitIndex0)))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11158,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB95)) | (~v124(constB95, bitIndex0))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11157, 11156])).
% 25.09/16.43 tff(11159,plain,
% 25.09/16.43 (~v124(constB95, bitIndex0)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11158, 1855, 11004])).
% 25.09/16.43 tff(11160,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11161,plain,
% 25.09/16.43 ((v26(constB95) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0))) <=> ((~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11162,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB95) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0)))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11161])).
% 25.09/16.43 tff(11163,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB95) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11162, 11160])).
% 25.09/16.43 tff(11164,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB95) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0)))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11165,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB95, bitIndex0)) | v26(constB95) | v124(constB95, bitIndex0)),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11164, 11163])).
% 25.09/16.43 tff(11166,plain,
% 25.09/16.43 ((~v121(constB95, bitIndex0)) | v124(constB95, bitIndex0)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11165, 890, 11023])).
% 25.09/16.43 tff(11167,plain,
% 25.09/16.43 (~v121(constB95, bitIndex0)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11166, 11159])).
% 25.09/16.43 tff(11168,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11169,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB95, constB96)) | v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0)))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11170,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB95, constB96)) | v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11169, 11168])).
% 25.09/16.43 tff(11171,plain,
% 25.09/16.43 (v121(constB95, bitIndex0) | (~v123(constB96, bitIndex0))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11170, 908, 11041])).
% 25.09/16.43 tff(11172,plain,
% 25.09/16.43 (~v123(constB96, bitIndex0)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11171, 11167])).
% 25.09/16.43 tff(11173,plain,
% 25.09/16.43 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11174,plain,
% 25.09/16.43 (((~v84(constB96, bitIndex0)) | (~v94(constB96)) | v123(constB96, bitIndex0)) <=> ((~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11175,plain,
% 25.09/16.43 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~v94(constB96)) | v123(constB96, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96))))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11174])).
% 25.09/16.43 tff(11176,plain,
% 25.09/16.43 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~v94(constB96)) | v123(constB96, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96)))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11175, 11173])).
% 25.09/16.43 tff(11177,plain,
% 25.09/16.43 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB96, bitIndex0)) | (~v94(constB96)) | v123(constB96, bitIndex0))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11178,plain,
% 25.09/16.43 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0) | (~v94(constB96))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11177, 11176])).
% 25.09/16.43 tff(11179,plain,
% 25.09/16.43 ((~v84(constB96, bitIndex0)) | (~v94(constB96))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11178, 923, 11172])).
% 25.09/16.43 tff(11180,plain,
% 25.09/16.43 (~v84(constB96, bitIndex0)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11179, 11075])).
% 25.09/16.43 tff(11181,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11182,plain,
% 25.09/16.43 (((~nextState(constB96, constB97)) | v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0))) <=> (v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11183,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0))))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11182])).
% 25.09/16.43 tff(11184,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0)))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11183, 11181])).
% 25.09/16.43 tff(11185,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB96, constB97)) | v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0)))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11186,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB96, bitIndex0) | (~nextState(constB96, constB97)) | v94(constB97) | (~v84(constB97, bitIndex0))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11185, 11184])).
% 25.09/16.43 tff(11187,plain,
% 25.09/16.43 (v84(constB96, bitIndex0) | v94(constB97) | (~v84(constB97, bitIndex0))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11186, 147, 11103])).
% 25.09/16.43 tff(11188,plain,
% 25.09/16.43 (v84(constB96, bitIndex0) | (~v84(constB97, bitIndex0))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11187, 11115])).
% 25.09/16.43 tff(11189,plain,
% 25.09/16.43 (~v84(constB97, bitIndex0)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11188, 11180])).
% 25.09/16.43 tff(11190,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11191,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11192,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97)),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11191, 11190])).
% 25.09/16.43 tff(11193,plain,
% 25.09/16.43 (v119(constB97)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11192, 1899, 11189, 11155, 11124])).
% 25.09/16.43 tff(11194,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB97) | (~v119(constB97)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB97) | (~v119(constB97)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11195,plain,
% 25.09/16.43 (((~v119(constB97)) | v107(constB97)) <=> (v107(constB97) | (~v119(constB97)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11196,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB97)) | v107(constB97))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB97) | (~v119(constB97))))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11195])).
% 25.09/16.43 tff(11197,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB97)) | v107(constB97))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB97) | (~v119(constB97)))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11196, 11194])).
% 25.09/16.43 tff(11198,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB97)) | v107(constB97))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11199,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB97) | (~v119(constB97))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 25.09/16.43 tff(11200,plain,
% 25.09/16.43 (v107(constB97)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11199, 1910, 11193])).
% 25.09/16.43 tff(11201,assumption,(v26(constB97)), introduced(assumption)).
% 25.09/16.43 tff(11202,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB97))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11203,plain,
% 25.09/16.43 ($false),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11202, 18, 11201])).
% 25.09/16.43 tff(11204,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.43 tff(11205,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | v106(constB97) | (~v107(constB97)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11206,plain,
% 25.09/16.43 ((v26(constB97) | (~v107(constB97)) | v106(constB97)) <=> (v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11207,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | v106(constB97) | (~v107(constB97))))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11206])).
% 25.09/16.43 tff(11208,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11207, 11205])).
% 25.09/16.43 tff(11209,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11210,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11209, 11208])).
% 25.09/16.43 tff(11211,plain,
% 25.09/16.43 (v106(constB97) | (~v107(constB97))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11210, 263, 11204])).
% 25.09/16.43 tff(11212,plain,
% 25.09/16.43 (v106(constB97)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11211, 11200])).
% 25.09/16.43 tff(11213,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB97) | (~v106(constB97)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB97) | (~v106(constB97)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11214,plain,
% 25.09/16.43 (((~v106(constB97)) | v102(constB97)) <=> (v102(constB97) | (~v106(constB97)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11215,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB97)) | v102(constB97))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB97) | (~v106(constB97))))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11214])).
% 25.09/16.43 tff(11216,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB97)) | v102(constB97))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB97) | (~v106(constB97)))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11215, 11213])).
% 25.09/16.43 tff(11217,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB97)) | v102(constB97))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11218,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB97) | (~v106(constB97))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 25.09/16.43 tff(11219,plain,
% 25.09/16.43 (v102(constB97)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11218, 275, 11212])).
% 25.09/16.43 tff(11220,plain,
% 25.09/16.43 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11221,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 25.09/16.43 tff(11222,plain,
% 25.09/16.43 (nextState(constB97, constB98)),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11221, 11220])).
% 25.09/16.43 tff(11223,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11224,plain,
% 25.09/16.43 (((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98)) <=> ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11225,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11224])).
% 25.09/16.43 tff(11226,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11225, 11223])).
% 25.09/16.43 tff(11227,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11228,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11227, 11226])).
% 25.09/16.43 tff(11229,plain,
% 25.09/16.43 (v104(constB98) | (~v102(constB97))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11228, 295, 11222])).
% 25.09/16.43 tff(11230,plain,
% 25.09/16.43 (v104(constB98)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11229, 11219])).
% 25.09/16.43 tff(11231,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11232,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11233,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11232, 11231])).
% 25.09/16.43 tff(11234,plain,
% 25.09/16.43 (~v98(constB98)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11233, 313, 11222, 11100])).
% 25.09/16.43 tff(11235,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11236,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11237,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98)),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11236, 11235])).
% 25.09/16.43 tff(11238,plain,
% 25.09/16.43 (v96(constB98) | v98(constB98)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11237, 327, 11222])).
% 25.09/16.43 tff(11239,plain,
% 25.09/16.43 (v96(constB98)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11238, 11234])).
% 25.09/16.43 tff(11240,plain,
% 25.09/16.43 (v1(constB98) <=> v1(constB98)),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11241,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 25.09/16.43 tff(11242,plain,
% 25.09/16.43 (v1(constB98)),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11241, 11240])).
% 25.09/16.43 tff(11243,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11244,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11245,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11244, 11243])).
% 25.09/16.43 tff(11246,plain,
% 25.09/16.43 (v95(constB98) | (~v96(constB98))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11245, 345, 11222, 11242])).
% 25.09/16.43 tff(11247,plain,
% 25.09/16.43 (v95(constB98)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11246, 11239])).
% 25.09/16.43 tff(11248,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11249,plain,
% 25.09/16.43 (((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98)) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11250,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98))))),
% 25.09/16.43 inference(monotonicity,[status(thm)],[11249])).
% 25.09/16.43 tff(11251,plain,
% 25.09/16.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98)))),
% 25.09/16.43 inference(transitivity,[status(thm)],[11250, 11248])).
% 25.09/16.43 tff(11252,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11253,plain,
% 25.09/16.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | v94(constB98) | (~v95(constB98)) | (~v104(constB98))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11252, 11251])).
% 25.09/16.43 tff(11254,plain,
% 25.09/16.43 (v94(constB98) | (~v95(constB98)) | (~v104(constB98))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11253, 360, 11222])).
% 25.09/16.43 tff(11255,plain,
% 25.09/16.43 (v94(constB98) | (~v104(constB98))),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11254, 11247])).
% 25.09/16.43 tff(11256,plain,
% 25.09/16.43 (v94(constB98)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11255, 11230])).
% 25.09/16.43 tff(11257,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB97)) | (~v84(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB97)) | (~v84(constB97, bitIndex2)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11258,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB97)) | (~v84(constB97, bitIndex2)))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11259,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB97)) | (~v84(constB97, bitIndex2))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11258, 11257])).
% 25.09/16.43 tff(11260,plain,
% 25.09/16.43 (~v115(constB97)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11259, 1974, 11124])).
% 25.09/16.43 tff(11261,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB97)) | (~v84(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB97)) | (~v84(constB97, bitIndex2)))),
% 25.09/16.43 inference(rewrite,[status(thm)],[])).
% 25.09/16.43 tff(11262,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB97)) | (~v84(constB97, bitIndex2)))),
% 25.09/16.43 inference(quant_inst,[status(thm)],[])).
% 25.09/16.43 tff(11263,plain,
% 25.09/16.43 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB97)) | (~v84(constB97, bitIndex2))),
% 25.09/16.43 inference(modus_ponens,[status(thm)],[11262, 11261])).
% 25.09/16.43 tff(11264,plain,
% 25.09/16.43 (~v116(constB97)),
% 25.09/16.43 inference(unit_resolution,[status(thm)],[11263, 1985, 11124])).
% 25.09/16.43 tff(11265,plain,
% 25.09/16.43 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB97)) | (~v84(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB97)) | (~v84(constB97, bitIndex1)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11266,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB97)) | (~v84(constB97, bitIndex1)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11267,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB97)) | (~v84(constB97, bitIndex1))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11266, 11265])).
% 25.09/16.44 tff(11268,plain,
% 25.09/16.44 (~v113(constB97)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11267, 1996, 11155])).
% 25.09/16.44 tff(11269,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB97)) | (~v84(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB97)) | (~v84(constB97, bitIndex1)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11270,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB97)) | (~v84(constB97, bitIndex1)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11271,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB97)) | (~v84(constB97, bitIndex1))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11270, 11269])).
% 25.09/16.44 tff(11272,plain,
% 25.09/16.44 (~v118(constB97)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11271, 2007, 11155])).
% 25.09/16.44 tff(11273,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB97)) | (~v84(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB97)) | (~v84(constB97, bitIndex1)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11274,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB97)) | (~v84(constB97, bitIndex1)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11275,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB97)) | (~v84(constB97, bitIndex1))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11274, 11273])).
% 25.09/16.44 tff(11276,plain,
% 25.09/16.44 (~v145(constB97)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11275, 2018, 11155])).
% 25.09/16.44 tff(11277,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB97)) | (~v84(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB97)) | (~v84(constB97, bitIndex1)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11278,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB97)) | (~v84(constB97, bitIndex1)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11279,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB97)) | (~v84(constB97, bitIndex1))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11278, 11277])).
% 25.09/16.44 tff(11280,plain,
% 25.09/16.44 (~v172(constB97)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11279, 2029, 11155])).
% 25.09/16.44 tff(11281,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB97, bitIndex2)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB97, bitIndex2)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11282,plain,
% 25.09/16.44 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex2))) <=> ((~v124(constB97, bitIndex2)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11283,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB97, bitIndex2)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97)))),
% 25.09/16.44 inference(monotonicity,[status(thm)],[11282])).
% 25.09/16.44 tff(11284,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB97, bitIndex2)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))),
% 25.09/16.44 inference(transitivity,[status(thm)],[11283, 11281])).
% 25.09/16.44 tff(11285,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex2)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11286,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB97, bitIndex2)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97)),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11285, 11284])).
% 25.09/16.44 tff(11287,plain,
% 25.09/16.44 (~v124(constB97, bitIndex2)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11286, 2043, 11280, 11276, 11272, 11268, 11264, 11260])).
% 25.09/16.44 tff(11288,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11289,plain,
% 25.09/16.44 ((v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2))) <=> ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11290,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2)))),
% 25.09/16.44 inference(monotonicity,[status(thm)],[11289])).
% 25.09/16.44 tff(11291,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2))),
% 25.09/16.44 inference(transitivity,[status(thm)],[11290, 11288])).
% 25.09/16.44 tff(11292,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB97) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11293,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB97, bitIndex2)) | v26(constB97) | v124(constB97, bitIndex2)),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11292, 11291])).
% 25.09/16.44 tff(11294,plain,
% 25.09/16.44 ((~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11293, 390, 11204])).
% 25.09/16.44 tff(11295,plain,
% 25.09/16.44 (~v121(constB97, bitIndex2)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11294, 11287])).
% 25.09/16.44 tff(11296,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11297,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11298,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11297, 11296])).
% 25.09/16.44 tff(11299,plain,
% 25.09/16.44 (v121(constB97, bitIndex2) | (~v123(constB98, bitIndex2))),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11298, 408, 11222])).
% 25.09/16.44 tff(11300,plain,
% 25.09/16.44 (~v123(constB98, bitIndex2)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11299, 11295])).
% 25.09/16.44 tff(11301,plain,
% 25.09/16.44 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11302,plain,
% 25.09/16.44 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11303,plain,
% 25.09/16.44 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2) | (~v94(constB98))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11302, 11301])).
% 25.09/16.44 tff(11304,plain,
% 25.09/16.44 ((~v84(constB98, bitIndex2)) | (~v94(constB98))),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11303, 423, 11300])).
% 25.09/16.44 tff(11305,plain,
% 25.09/16.44 (~v84(constB98, bitIndex2)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11304, 11256])).
% 25.09/16.44 tff(11306,plain,
% 25.09/16.44 ((~v1(constB99)) <=> (~v1(constB99))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11307,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 25.09/16.44 tff(11308,plain,
% 25.09/16.44 (~v1(constB99)),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11307, 11306])).
% 25.09/16.44 tff(11309,plain,
% 25.09/16.44 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11310,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 25.09/16.44 tff(11311,plain,
% 25.09/16.44 (nextState(constB98, constB99)),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11310, 11309])).
% 25.09/16.44 tff(11312,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11313,plain,
% 25.09/16.44 (((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11314,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))))),
% 25.09/16.44 inference(monotonicity,[status(thm)],[11313])).
% 25.09/16.44 tff(11315,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 25.09/16.44 inference(transitivity,[status(thm)],[11314, 11312])).
% 25.09/16.44 tff(11316,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11317,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11316, 11315])).
% 25.09/16.44 tff(11318,plain,
% 25.09/16.44 (~v95(constB99)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11317, 73, 11311, 11308])).
% 25.09/16.44 tff(11319,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11320,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11321,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11320, 11319])).
% 25.09/16.44 tff(11322,plain,
% 25.09/16.44 (v95(constB99) | (~v94(constB99))),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11321, 90, 11311])).
% 25.09/16.44 tff(11323,plain,
% 25.09/16.44 (~v94(constB99)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11322, 11318])).
% 25.09/16.44 tff(11324,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11325,plain,
% 25.09/16.44 (((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2))) <=> (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11326,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2))))),
% 25.09/16.44 inference(monotonicity,[status(thm)],[11325])).
% 25.09/16.44 tff(11327,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 25.09/16.44 inference(transitivity,[status(thm)],[11326, 11324])).
% 25.09/16.44 tff(11328,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11329,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB98, bitIndex2) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex2))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11328, 11327])).
% 25.09/16.44 tff(11330,plain,
% 25.09/16.44 (v84(constB98, bitIndex2) | v94(constB99) | (~v84(constB99, bitIndex2))),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11329, 105, 11311])).
% 25.09/16.44 tff(11331,plain,
% 25.09/16.44 (v84(constB98, bitIndex2) | (~v84(constB99, bitIndex2))),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11330, 11323])).
% 25.09/16.44 tff(11332,plain,
% 25.09/16.44 (~v84(constB99, bitIndex2)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11331, 11305])).
% 25.09/16.44 tff(11333,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB97, bitIndex1)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB97, bitIndex1)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11334,plain,
% 25.09/16.44 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1))) <=> ((~v124(constB97, bitIndex1)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11335,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB97, bitIndex1)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97)))),
% 25.09/16.44 inference(monotonicity,[status(thm)],[11334])).
% 25.09/16.44 tff(11336,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB97, bitIndex1)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))),
% 25.09/16.44 inference(transitivity,[status(thm)],[11335, 11333])).
% 25.09/16.44 tff(11337,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~v124(constB97, bitIndex1)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11338,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB97, bitIndex1)) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97)),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 25.09/16.44 tff(11339,plain,
% 25.09/16.44 (~v124(constB97, bitIndex1)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11338, 2105, 11280, 11276, 11272, 11268, 11264, 11260])).
% 25.09/16.44 tff(11340,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11341,plain,
% 25.09/16.44 ((v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1))) <=> ((~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11342,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1)))),
% 25.09/16.44 inference(monotonicity,[status(thm)],[11341])).
% 25.09/16.44 tff(11343,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1))),
% 25.09/16.44 inference(transitivity,[status(thm)],[11342, 11340])).
% 25.09/16.44 tff(11344,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB97) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11345,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB97, bitIndex1)) | v26(constB97) | v124(constB97, bitIndex1)),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11344, 11343])).
% 25.09/16.44 tff(11346,plain,
% 25.09/16.44 ((~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11345, 476, 11204])).
% 25.09/16.44 tff(11347,plain,
% 25.09/16.44 (~v121(constB97, bitIndex1)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11346, 11339])).
% 25.09/16.44 tff(11348,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11349,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11350,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB97, constB98)) | v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11349, 11348])).
% 25.09/16.44 tff(11351,plain,
% 25.09/16.44 (v121(constB97, bitIndex1) | (~v123(constB98, bitIndex1))),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11350, 494, 11222])).
% 25.09/16.44 tff(11352,plain,
% 25.09/16.44 (~v123(constB98, bitIndex1)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11351, 11347])).
% 25.09/16.44 tff(11353,plain,
% 25.09/16.44 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11354,plain,
% 25.09/16.44 (((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1)) <=> ((~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11355,plain,
% 25.09/16.44 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98))))),
% 25.09/16.44 inference(monotonicity,[status(thm)],[11354])).
% 25.09/16.44 tff(11356,plain,
% 25.09/16.44 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98)))),
% 25.09/16.44 inference(transitivity,[status(thm)],[11355, 11353])).
% 25.09/16.44 tff(11357,plain,
% 25.09/16.44 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB98, bitIndex1)) | (~v94(constB98)) | v123(constB98, bitIndex1))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11358,plain,
% 25.09/16.44 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1) | (~v94(constB98))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11357, 11356])).
% 25.09/16.44 tff(11359,plain,
% 25.09/16.44 ((~v84(constB98, bitIndex1)) | (~v94(constB98))),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11358, 509, 11352])).
% 25.09/16.44 tff(11360,plain,
% 25.09/16.44 (~v84(constB98, bitIndex1)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11359, 11256])).
% 25.09/16.44 tff(11361,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11362,plain,
% 25.09/16.44 (((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1))) <=> (v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11363,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1))))),
% 25.09/16.44 inference(monotonicity,[status(thm)],[11362])).
% 25.09/16.44 tff(11364,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 25.09/16.44 inference(transitivity,[status(thm)],[11363, 11361])).
% 25.09/16.44 tff(11365,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB98, constB99)) | v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1)))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11366,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB98, bitIndex1) | (~nextState(constB98, constB99)) | v94(constB99) | (~v84(constB99, bitIndex1))),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11365, 11364])).
% 25.09/16.44 tff(11367,plain,
% 25.09/16.44 (v84(constB98, bitIndex1) | v94(constB99) | (~v84(constB99, bitIndex1))),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11366, 126, 11311])).
% 25.09/16.44 tff(11368,plain,
% 25.09/16.44 (v84(constB98, bitIndex1) | (~v84(constB99, bitIndex1))),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11367, 11323])).
% 25.09/16.44 tff(11369,plain,
% 25.09/16.44 (~v84(constB99, bitIndex1)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11368, 11360])).
% 25.09/16.44 tff(11370,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB97, bitIndex0) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB97, bitIndex0) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11371,plain,
% 25.09/16.44 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | v124(constB97, bitIndex0)) <=> (v124(constB97, bitIndex0) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11372,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | v124(constB97, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB97, bitIndex0) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97)))),
% 25.09/16.44 inference(monotonicity,[status(thm)],[11371])).
% 25.09/16.44 tff(11373,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | v124(constB97, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB97, bitIndex0) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97))),
% 25.09/16.44 inference(transitivity,[status(thm)],[11372, 11370])).
% 25.09/16.44 tff(11374,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | v124(constB97, bitIndex0))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11375,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB97, bitIndex0) | v172(constB97) | v145(constB97) | v118(constB97) | v116(constB97) | v115(constB97) | v113(constB97)),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11374, 11373])).
% 25.09/16.44 tff(11376,plain,
% 25.09/16.44 (v124(constB97, bitIndex0)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11375, 2152, 11280, 11276, 11272, 11268, 11264, 11260])).
% 25.09/16.44 tff(11377,plain,
% 25.09/16.44 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB97) | (~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB97) | (~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11378,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB97) | (~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11379,plain,
% 25.09/16.44 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB97) | (~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0)),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11378, 11377])).
% 25.09/16.44 tff(11380,plain,
% 25.09/16.44 ((~v124(constB97, bitIndex0)) | v121(constB97, bitIndex0)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11379, 547, 11204])).
% 25.09/16.44 tff(11381,plain,
% 25.09/16.44 (v121(constB97, bitIndex0)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11380, 11376])).
% 25.09/16.44 tff(11382,plain,
% 25.09/16.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0))),
% 25.09/16.44 inference(rewrite,[status(thm)],[])).
% 25.09/16.44 tff(11383,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB97, constB98)) | (~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0))),
% 25.09/16.44 inference(quant_inst,[status(thm)],[])).
% 25.09/16.44 tff(11384,plain,
% 25.09/16.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB97, constB98)) | (~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0)),
% 25.09/16.44 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 25.09/16.44 tff(11385,plain,
% 25.09/16.44 ((~v121(constB97, bitIndex0)) | v123(constB98, bitIndex0)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11384, 562, 11222])).
% 25.09/16.44 tff(11386,plain,
% 25.09/16.44 (v123(constB98, bitIndex0)),
% 25.09/16.44 inference(unit_resolution,[status(thm)],[11385, 11381])).
% 25.09/16.44 tff(11387,plain,
% 25.09/16.44 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11388,plain,
% 25.09/16.45 ((v84(constB98, bitIndex0) | (~v94(constB98)) | (~v123(constB98, bitIndex0))) <=> (v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11389,plain,
% 25.09/16.45 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v94(constB98)) | (~v123(constB98, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11388])).
% 25.09/16.45 tff(11390,plain,
% 25.09/16.45 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v94(constB98)) | (~v123(constB98, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11389, 11387])).
% 25.09/16.45 tff(11391,plain,
% 25.09/16.45 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB98, bitIndex0) | (~v94(constB98)) | (~v123(constB98, bitIndex0)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11392,plain,
% 25.09/16.45 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)) | (~v94(constB98))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 25.09/16.45 tff(11393,plain,
% 25.09/16.45 (v84(constB98, bitIndex0) | (~v94(constB98))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11392, 577, 11386])).
% 25.09/16.45 tff(11394,plain,
% 25.09/16.45 (v84(constB98, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11393, 11256])).
% 25.09/16.45 tff(11395,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11396,plain,
% 25.09/16.45 (((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0)) <=> ((~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11397,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0)))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11396])).
% 25.09/16.45 tff(11398,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11397, 11395])).
% 25.09/16.45 tff(11399,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB98, constB99)) | (~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11400,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB98, bitIndex0)) | (~nextState(constB98, constB99)) | v94(constB99) | v84(constB99, bitIndex0)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 25.09/16.45 tff(11401,plain,
% 25.09/16.45 ((~v84(constB98, bitIndex0)) | v94(constB99) | v84(constB99, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11400, 595, 11311])).
% 25.09/16.45 tff(11402,plain,
% 25.09/16.45 ((~v84(constB98, bitIndex0)) | v84(constB99, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11401, 11323])).
% 25.09/16.45 tff(11403,plain,
% 25.09/16.45 (v84(constB99, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11402, 11394])).
% 25.09/16.45 tff(11404,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11405,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11406,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11405, 11404])).
% 25.09/16.45 tff(11407,plain,
% 25.09/16.45 (v145(constB99)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11406, 614, 11403, 11369, 11332])).
% 25.09/16.45 tff(11408,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB99) | (~v145(constB99)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB99) | (~v145(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11409,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB99) | (~v145(constB99)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11410,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB99) | (~v145(constB99))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11409, 11408])).
% 25.09/16.45 tff(11411,plain,
% 25.09/16.45 (v112(constB99)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11410, 677, 11407])).
% 25.09/16.45 tff(11412,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB99)) | v111(constB99))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB99)) | v111(constB99))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11413,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB99)) | v111(constB99))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11414,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB99)) | v111(constB99)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11413, 11412])).
% 25.09/16.45 tff(11415,plain,
% 25.09/16.45 (v111(constB99)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11414, 193, 11411])).
% 25.09/16.45 tff(11416,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB99) | (~v111(constB99)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB99) | (~v111(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11417,plain,
% 25.09/16.45 (((~v111(constB99)) | v110(constB99)) <=> (v110(constB99) | (~v111(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11418,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB99)) | v110(constB99))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB99) | (~v111(constB99))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11417])).
% 25.09/16.45 tff(11419,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB99)) | v110(constB99))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB99) | (~v111(constB99)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11418, 11416])).
% 25.09/16.45 tff(11420,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB99)) | v110(constB99))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11421,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB99) | (~v111(constB99))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11420, 11419])).
% 25.09/16.45 tff(11422,plain,
% 25.09/16.45 (v110(constB99)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11421, 207, 11415])).
% 25.09/16.45 tff(11423,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB99) | (~v110(constB99)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB99) | (~v110(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11424,plain,
% 25.09/16.45 (((~v110(constB99)) | v109(constB99)) <=> (v109(constB99) | (~v110(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11425,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB99)) | v109(constB99))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB99) | (~v110(constB99))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11424])).
% 25.09/16.45 tff(11426,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB99)) | v109(constB99))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB99) | (~v110(constB99)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11425, 11423])).
% 25.09/16.45 tff(11427,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB99)) | v109(constB99))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11428,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB99) | (~v110(constB99))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11427, 11426])).
% 25.09/16.45 tff(11429,plain,
% 25.09/16.45 (v109(constB99)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11428, 221, 11422])).
% 25.09/16.45 tff(11430,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v109(constB99)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v109(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11431,plain,
% 25.09/16.45 (((~v109(constB99)) | v108(constB99)) <=> (v108(constB99) | (~v109(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11432,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB99) | (~v109(constB99))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11431])).
% 25.09/16.45 tff(11433,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB99)) | v108(constB99))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v109(constB99)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11432, 11430])).
% 25.09/16.45 tff(11434,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB99)) | v108(constB99))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11435,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB99) | (~v109(constB99))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11434, 11433])).
% 25.09/16.45 tff(11436,plain,
% 25.09/16.45 (v108(constB99)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11435, 235, 11429])).
% 25.09/16.45 tff(11437,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB99)) | v107(constB99))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB99)) | v107(constB99))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11438,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB99)) | v107(constB99))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11439,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB99)) | v107(constB99)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11438, 11437])).
% 25.09/16.45 tff(11440,plain,
% 25.09/16.45 (v107(constB99)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11439, 249, 11436])).
% 25.09/16.45 tff(11441,assumption,(v26(constB99)), introduced(assumption)).
% 25.09/16.45 tff(11442,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB99))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11443,plain,
% 25.09/16.45 ($false),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11442, 18, 11441])).
% 25.09/16.45 tff(11444,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.45 tff(11445,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11446,plain,
% 25.09/16.45 ((v26(constB99) | (~v107(constB99)) | v106(constB99)) <=> (v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11447,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11446])).
% 25.09/16.45 tff(11448,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11447, 11445])).
% 25.09/16.45 tff(11449,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11450,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11449, 11448])).
% 25.09/16.45 tff(11451,plain,
% 25.09/16.45 (v106(constB99) | (~v107(constB99))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11450, 263, 11444])).
% 25.09/16.45 tff(11452,plain,
% 25.09/16.45 (v106(constB99)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11451, 11440])).
% 25.09/16.45 tff(11453,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB99) | (~v106(constB99)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB99) | (~v106(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11454,plain,
% 25.09/16.45 (((~v106(constB99)) | v102(constB99)) <=> (v102(constB99) | (~v106(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11455,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB99)) | v102(constB99))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB99) | (~v106(constB99))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11454])).
% 25.09/16.45 tff(11456,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB99)) | v102(constB99))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB99) | (~v106(constB99)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11455, 11453])).
% 25.09/16.45 tff(11457,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB99)) | v102(constB99))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11458,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB99) | (~v106(constB99))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11457, 11456])).
% 25.09/16.45 tff(11459,plain,
% 25.09/16.45 (v102(constB99)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11458, 275, 11452])).
% 25.09/16.45 tff(11460,plain,
% 25.09/16.45 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11461,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 25.09/16.45 tff(11462,plain,
% 25.09/16.45 (nextState(constB99, constB100)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11461, 11460])).
% 25.09/16.45 tff(11463,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11464,plain,
% 25.09/16.45 (((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100)) <=> ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11465,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11464])).
% 25.09/16.45 tff(11466,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11465, 11463])).
% 25.09/16.45 tff(11467,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11468,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11467, 11466])).
% 25.09/16.45 tff(11469,plain,
% 25.09/16.45 (v104(constB100) | (~v102(constB99))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11468, 295, 11462])).
% 25.09/16.45 tff(11470,plain,
% 25.09/16.45 (v104(constB100)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11469, 11459])).
% 25.09/16.45 tff(11471,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11472,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11473,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 25.09/16.45 tff(11474,plain,
% 25.09/16.45 (~v98(constB100)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11473, 313, 11462, 11308])).
% 25.09/16.45 tff(11475,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11476,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11477,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11476, 11475])).
% 25.09/16.45 tff(11478,plain,
% 25.09/16.45 (v96(constB100) | v98(constB100)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11477, 327, 11462])).
% 25.09/16.45 tff(11479,plain,
% 25.09/16.45 (v96(constB100)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11478, 11474])).
% 25.09/16.45 tff(11480,plain,
% 25.09/16.45 (v1(constB100) <=> v1(constB100)),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11481,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 25.09/16.45 tff(11482,plain,
% 25.09/16.45 (v1(constB100)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11481, 11480])).
% 25.09/16.45 tff(11483,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11484,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11485,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11484, 11483])).
% 25.09/16.45 tff(11486,plain,
% 25.09/16.45 (v95(constB100) | (~v96(constB100))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11485, 345, 11462, 11482])).
% 25.09/16.45 tff(11487,plain,
% 25.09/16.45 (v95(constB100)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11486, 11479])).
% 25.09/16.45 tff(11488,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11489,plain,
% 25.09/16.45 (((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100)) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11490,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11489])).
% 25.09/16.45 tff(11491,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11490, 11488])).
% 25.09/16.45 tff(11492,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11493,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | v94(constB100) | (~v95(constB100)) | (~v104(constB100))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11492, 11491])).
% 25.09/16.45 tff(11494,plain,
% 25.09/16.45 (v94(constB100) | (~v95(constB100)) | (~v104(constB100))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11493, 360, 11462])).
% 25.09/16.45 tff(11495,plain,
% 25.09/16.45 (v94(constB100) | (~v104(constB100))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11494, 11487])).
% 25.09/16.45 tff(11496,plain,
% 25.09/16.45 (v94(constB100)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11495, 11470])).
% 25.09/16.45 tff(11497,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB99)) | (~v124(constB99, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB99)) | (~v124(constB99, bitIndex0)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11498,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB99)) | (~v124(constB99, bitIndex0)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11499,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB99)) | (~v124(constB99, bitIndex0))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11498, 11497])).
% 25.09/16.45 tff(11500,plain,
% 25.09/16.45 (~v124(constB99, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11499, 876, 11407])).
% 25.09/16.45 tff(11501,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11502,plain,
% 25.09/16.45 ((v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0))) <=> ((~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11503,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0)))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11502])).
% 25.09/16.45 tff(11504,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11503, 11501])).
% 25.09/16.45 tff(11505,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB99) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11506,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB99, bitIndex0)) | v26(constB99) | v124(constB99, bitIndex0)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11505, 11504])).
% 25.09/16.45 tff(11507,plain,
% 25.09/16.45 ((~v121(constB99, bitIndex0)) | v124(constB99, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11506, 890, 11444])).
% 25.09/16.45 tff(11508,plain,
% 25.09/16.45 (~v121(constB99, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11507, 11500])).
% 25.09/16.45 tff(11509,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11510,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11511,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11510, 11509])).
% 25.09/16.45 tff(11512,plain,
% 25.09/16.45 (v121(constB99, bitIndex0) | (~v123(constB100, bitIndex0))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11511, 908, 11462])).
% 25.09/16.45 tff(11513,plain,
% 25.09/16.45 (~v123(constB100, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11512, 11508])).
% 25.09/16.45 tff(11514,plain,
% 25.09/16.45 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11515,plain,
% 25.09/16.45 (((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0)) <=> ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11516,plain,
% 25.09/16.45 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11515])).
% 25.09/16.45 tff(11517,plain,
% 25.09/16.45 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11516, 11514])).
% 25.09/16.45 tff(11518,plain,
% 25.09/16.45 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~v94(constB100)) | v123(constB100, bitIndex0))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11519,plain,
% 25.09/16.45 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0) | (~v94(constB100))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11518, 11517])).
% 25.09/16.45 tff(11520,plain,
% 25.09/16.45 ((~v84(constB100, bitIndex0)) | (~v94(constB100))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11519, 923, 11513])).
% 25.09/16.45 tff(11521,plain,
% 25.09/16.45 (~v84(constB100, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11520, 11496])).
% 25.09/16.45 tff(11522,plain,
% 25.09/16.45 ((~v1(constB101)) <=> (~v1(constB101))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11523,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 25.09/16.45 tff(11524,plain,
% 25.09/16.45 (~v1(constB101)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11523, 11522])).
% 25.09/16.45 tff(11525,plain,
% 25.09/16.45 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11526,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 25.09/16.45 tff(11527,plain,
% 25.09/16.45 (nextState(constB100, constB101)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11526, 11525])).
% 25.09/16.45 tff(11528,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11529,plain,
% 25.09/16.45 (((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11530,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11529])).
% 25.09/16.45 tff(11531,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11530, 11528])).
% 25.09/16.45 tff(11532,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11533,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11532, 11531])).
% 25.09/16.45 tff(11534,plain,
% 25.09/16.45 (~v95(constB101)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11533, 73, 11527, 11524])).
% 25.09/16.45 tff(11535,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11536,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11537,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11536, 11535])).
% 25.09/16.45 tff(11538,plain,
% 25.09/16.45 (v95(constB101) | (~v94(constB101))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11537, 90, 11527])).
% 25.09/16.45 tff(11539,plain,
% 25.09/16.45 (~v94(constB101)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11538, 11534])).
% 25.09/16.45 tff(11540,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11541,plain,
% 25.09/16.45 (((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0))) <=> (v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11542,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0))))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11541])).
% 25.09/16.45 tff(11543,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11542, 11540])).
% 25.09/16.45 tff(11544,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11545,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex0))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 25.09/16.45 tff(11546,plain,
% 25.09/16.45 (v84(constB100, bitIndex0) | v94(constB101) | (~v84(constB101, bitIndex0))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11545, 147, 11527])).
% 25.09/16.45 tff(11547,plain,
% 25.09/16.45 (v84(constB100, bitIndex0) | (~v84(constB101, bitIndex0))),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11546, 11539])).
% 25.09/16.45 tff(11548,plain,
% 25.09/16.45 (~v84(constB101, bitIndex0)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11547, 11521])).
% 25.09/16.45 tff(11549,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB99)) | (~v124(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB99)) | (~v124(constB99, bitIndex2)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11550,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB99)) | (~v124(constB99, bitIndex2)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11551,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB99)) | (~v124(constB99, bitIndex2))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11550, 11549])).
% 25.09/16.45 tff(11552,plain,
% 25.09/16.45 (~v124(constB99, bitIndex2)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11551, 625, 11407])).
% 25.09/16.45 tff(11553,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11554,plain,
% 25.09/16.45 ((v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2))) <=> ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11555,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2)))),
% 25.09/16.45 inference(monotonicity,[status(thm)],[11554])).
% 25.09/16.45 tff(11556,plain,
% 25.09/16.45 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2))),
% 25.09/16.45 inference(transitivity,[status(thm)],[11555, 11553])).
% 25.09/16.45 tff(11557,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB99) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11558,plain,
% 25.09/16.45 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB99, bitIndex2)) | v26(constB99) | v124(constB99, bitIndex2)),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11557, 11556])).
% 25.09/16.45 tff(11559,plain,
% 25.09/16.45 ((~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11558, 390, 11444])).
% 25.09/16.45 tff(11560,plain,
% 25.09/16.45 (~v121(constB99, bitIndex2)),
% 25.09/16.45 inference(unit_resolution,[status(thm)],[11559, 11552])).
% 25.09/16.45 tff(11561,plain,
% 25.09/16.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))),
% 25.09/16.45 inference(rewrite,[status(thm)],[])).
% 25.09/16.45 tff(11562,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2)))),
% 25.09/16.45 inference(quant_inst,[status(thm)],[])).
% 25.09/16.45 tff(11563,plain,
% 25.09/16.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB99, constB100)) | v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2))),
% 25.09/16.45 inference(modus_ponens,[status(thm)],[11562, 11561])).
% 25.09/16.45 tff(11564,plain,
% 25.09/16.45 (v121(constB99, bitIndex2) | (~v123(constB100, bitIndex2))),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11563, 408, 11462])).
% 25.09/16.46 tff(11565,plain,
% 25.09/16.46 (~v123(constB100, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11564, 11560])).
% 25.09/16.46 tff(11566,plain,
% 25.09/16.46 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11567,plain,
% 25.09/16.46 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100)))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11568,plain,
% 25.09/16.46 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2) | (~v94(constB100))),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11567, 11566])).
% 25.09/16.46 tff(11569,plain,
% 25.09/16.46 ((~v84(constB100, bitIndex2)) | (~v94(constB100))),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11568, 423, 11565])).
% 25.09/16.46 tff(11570,plain,
% 25.09/16.46 (~v84(constB100, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11569, 11496])).
% 25.09/16.46 tff(11571,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11572,plain,
% 25.09/16.46 (((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2))) <=> (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11573,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2))))),
% 25.09/16.46 inference(monotonicity,[status(thm)],[11572])).
% 25.09/16.46 tff(11574,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 25.09/16.46 inference(transitivity,[status(thm)],[11573, 11571])).
% 25.09/16.46 tff(11575,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB100, constB101)) | v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2)))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11576,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~nextState(constB100, constB101)) | v94(constB101) | (~v84(constB101, bitIndex2))),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11575, 11574])).
% 25.09/16.46 tff(11577,plain,
% 25.09/16.46 (v84(constB100, bitIndex2) | v94(constB101) | (~v84(constB101, bitIndex2))),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11576, 105, 11527])).
% 25.09/16.46 tff(11578,plain,
% 25.09/16.46 (v84(constB100, bitIndex2) | (~v84(constB101, bitIndex2))),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11577, 11539])).
% 25.09/16.46 tff(11579,plain,
% 25.09/16.46 (~v84(constB101, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11578, 11570])).
% 25.09/16.46 tff(11580,assumption,(~v84(constB101, bitIndex2)), introduced(assumption)).
% 25.09/16.46 tff(11581,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB100, bitIndex2)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex2))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11582,plain,
% 25.09/16.46 (((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex2)) | v94(constB101) | v84(constB101, bitIndex2)) <=> ((~v84(constB100, bitIndex2)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex2))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11583,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex2)) | v94(constB101) | v84(constB101, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB100, bitIndex2)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex2)))),
% 25.09/16.46 inference(monotonicity,[status(thm)],[11582])).
% 25.09/16.46 tff(11584,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex2)) | v94(constB101) | v84(constB101, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB100, bitIndex2)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex2))),
% 25.09/16.46 inference(transitivity,[status(thm)],[11583, 11581])).
% 25.09/16.46 tff(11585,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex2)) | v94(constB101) | v84(constB101, bitIndex2))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11586,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB100, bitIndex2)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex2)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11585, 11584])).
% 25.09/16.46 tff(11587,plain,
% 25.09/16.46 ((~v84(constB100, bitIndex2)) | v94(constB101) | v84(constB101, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11586, 1353, 11527])).
% 25.09/16.46 tff(11588,plain,
% 25.09/16.46 ((~v84(constB100, bitIndex2)) | v84(constB101, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11587, 11539])).
% 25.09/16.46 tff(11589,plain,
% 25.09/16.46 (~v84(constB100, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11588, 11580])).
% 25.09/16.46 tff(11590,assumption,(~v84(constB101, bitIndex0)), introduced(assumption)).
% 25.09/16.46 tff(11591,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11592,plain,
% 25.09/16.46 (((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0)) <=> ((~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11593,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0)))),
% 25.09/16.46 inference(monotonicity,[status(thm)],[11592])).
% 25.09/16.46 tff(11594,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0))),
% 25.09/16.46 inference(transitivity,[status(thm)],[11593, 11591])).
% 25.09/16.46 tff(11595,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11596,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB100, bitIndex0)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex0)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11595, 11594])).
% 25.09/16.46 tff(11597,plain,
% 25.09/16.46 ((~v84(constB100, bitIndex0)) | v94(constB101) | v84(constB101, bitIndex0)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11596, 595, 11527])).
% 25.09/16.46 tff(11598,plain,
% 25.09/16.46 ((~v84(constB100, bitIndex0)) | v84(constB101, bitIndex0)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11597, 11539])).
% 25.09/16.46 tff(11599,plain,
% 25.09/16.46 (~v84(constB100, bitIndex0)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11598, 11590])).
% 25.09/16.46 tff(11600,assumption,(~v94(constB100)), introduced(assumption)).
% 25.09/16.46 tff(11601,plain,
% 25.09/16.46 (~v104(constB100)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11495, 11600])).
% 25.09/16.46 tff(11602,plain,
% 25.09/16.46 (~v102(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11469, 11601])).
% 25.09/16.46 tff(11603,plain,
% 25.09/16.46 (~v106(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11458, 275, 11602])).
% 25.09/16.46 tff(11604,plain,
% 25.09/16.46 (~v107(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11451, 11603])).
% 25.09/16.46 tff(11605,plain,
% 25.09/16.46 (~v108(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11439, 249, 11604])).
% 25.09/16.46 tff(11606,plain,
% 25.09/16.46 (~v109(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11435, 235, 11605])).
% 25.09/16.46 tff(11607,plain,
% 25.09/16.46 (~v110(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11428, 221, 11606])).
% 25.09/16.46 tff(11608,plain,
% 25.09/16.46 (~v111(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11421, 207, 11607])).
% 25.09/16.46 tff(11609,plain,
% 25.09/16.46 (~v112(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11414, 193, 11608])).
% 25.09/16.46 tff(11610,assumption,(~v84(constB100, bitIndex0)), introduced(assumption)).
% 25.09/16.46 tff(11611,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11612,plain,
% 25.09/16.46 (((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0)) <=> ((~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11613,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0)))),
% 25.09/16.46 inference(monotonicity,[status(thm)],[11612])).
% 25.09/16.46 tff(11614,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0))),
% 25.09/16.46 inference(transitivity,[status(thm)],[11613, 11611])).
% 25.09/16.46 tff(11615,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11616,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB99, bitIndex0)) | (~nextState(constB99, constB100)) | v94(constB100) | v84(constB100, bitIndex0)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11615, 11614])).
% 25.09/16.46 tff(11617,plain,
% 25.09/16.46 ((~v84(constB99, bitIndex0)) | v94(constB100) | v84(constB100, bitIndex0)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11616, 595, 11462])).
% 25.09/16.46 tff(11618,plain,
% 25.09/16.46 (~v84(constB99, bitIndex0)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11617, 11600, 11610])).
% 25.09/16.46 tff(11619,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB99) | (~v115(constB99)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11620,plain,
% 25.09/16.46 (((~v115(constB99)) | v111(constB99)) <=> (v111(constB99) | (~v115(constB99)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11621,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB99)) | v111(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB99) | (~v115(constB99))))),
% 25.09/16.46 inference(monotonicity,[status(thm)],[11620])).
% 25.09/16.46 tff(11622,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB99)) | v111(constB99))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB99) | (~v115(constB99)))),
% 25.09/16.46 inference(transitivity,[status(thm)],[11621, 11619])).
% 25.09/16.46 tff(11623,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB99)) | v111(constB99))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11624,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB99) | (~v115(constB99))),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 25.09/16.46 tff(11625,plain,
% 25.09/16.46 (~v115(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11624, 961, 11608])).
% 25.09/16.46 tff(11626,assumption,(~v115(constB99)), introduced(assumption)).
% 25.09/16.46 tff(11627,assumption,(~v113(constB99)), introduced(assumption)).
% 25.09/16.46 tff(11628,assumption,(~v84(constB99, bitIndex0)), introduced(assumption)).
% 25.09/16.46 tff(11629,assumption,(~v107(constB99)), introduced(assumption)).
% 25.09/16.46 tff(11630,plain,
% 25.09/16.46 (~v108(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11439, 249, 11629])).
% 25.09/16.46 tff(11631,plain,
% 25.09/16.46 (~v109(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11435, 235, 11630])).
% 25.09/16.46 tff(11632,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB99) | (~v172(constB99)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB99) | (~v172(constB99)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11633,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB99) | (~v172(constB99)))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11634,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB99) | (~v172(constB99))),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11633, 11632])).
% 25.09/16.46 tff(11635,plain,
% 25.09/16.46 (~v172(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11634, 1468, 11631])).
% 25.09/16.46 tff(11636,assumption,(~v84(constB99, bitIndex1)), introduced(assumption)).
% 25.09/16.46 tff(11637,assumption,(~v172(constB99)), introduced(assumption)).
% 25.09/16.46 tff(11638,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11639,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11640,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 25.09/16.46 tff(11641,plain,
% 25.09/16.46 (v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11640, 1454, 11628])).
% 25.09/16.46 tff(11642,plain,
% 25.09/16.46 (~v84(constB99, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11641, 11636, 11637])).
% 25.09/16.46 tff(11643,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11644,plain,
% 25.09/16.46 ((v84(constB99, bitIndex0) | v113(constB99) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2)) <=> (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11645,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v113(constB99) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99)))),
% 25.09/16.46 inference(monotonicity,[status(thm)],[11644])).
% 25.09/16.46 tff(11646,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v113(constB99) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99))),
% 25.09/16.46 inference(transitivity,[status(thm)],[11645, 11643])).
% 25.09/16.46 tff(11647,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB99, bitIndex0) | v113(constB99) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11648,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11647, 11646])).
% 25.09/16.46 tff(11649,plain,
% 25.09/16.46 (v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v113(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11648, 168, 11628])).
% 25.09/16.46 tff(11650,plain,
% 25.09/16.46 ($false),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11649, 11642, 11636, 11627])).
% 25.09/16.46 tff(11651,plain,(v84(constB99, bitIndex1) | v113(constB99) | v84(constB99, bitIndex0) | v172(constB99)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.46 tff(11652,plain,
% 25.09/16.46 (v84(constB99, bitIndex1)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11651, 11635, 11628, 11627])).
% 25.09/16.46 tff(11653,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB99) | (~v119(constB99)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB99) | (~v119(constB99)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11654,plain,
% 25.09/16.46 (((~v119(constB99)) | v107(constB99)) <=> (v107(constB99) | (~v119(constB99)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11655,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB99)) | v107(constB99))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB99) | (~v119(constB99))))),
% 25.09/16.46 inference(monotonicity,[status(thm)],[11654])).
% 25.09/16.46 tff(11656,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB99)) | v107(constB99))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB99) | (~v119(constB99)))),
% 25.09/16.46 inference(transitivity,[status(thm)],[11655, 11653])).
% 25.09/16.46 tff(11657,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB99)) | v107(constB99))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11658,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB99) | (~v119(constB99))),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11657, 11656])).
% 25.09/16.46 tff(11659,plain,
% 25.09/16.46 (~v119(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11658, 1910, 11629])).
% 25.09/16.46 tff(11660,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11661,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11662,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11661, 11660])).
% 25.09/16.46 tff(11663,plain,
% 25.09/16.46 ((~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11662, 1899, 11628])).
% 25.09/16.46 tff(11664,plain,
% 25.09/16.46 (~v84(constB99, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11663, 11652, 11659])).
% 25.09/16.46 tff(11665,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11666,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11667,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 25.09/16.46 tff(11668,plain,
% 25.09/16.46 ((~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11667, 950, 11628])).
% 25.09/16.46 tff(11669,plain,
% 25.09/16.46 ($false),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11668, 11664, 11652, 11626])).
% 25.09/16.46 tff(11670,plain,(v107(constB99) | v115(constB99) | v84(constB99, bitIndex0) | v113(constB99)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.46 tff(11671,plain,
% 25.09/16.46 (v113(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11670, 11625, 11604, 11618])).
% 25.09/16.46 tff(11672,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB99) | (~v113(constB99)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11673,plain,
% 25.09/16.46 (((~v113(constB99)) | v112(constB99)) <=> (v112(constB99) | (~v113(constB99)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11674,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB99) | (~v113(constB99))))),
% 25.09/16.46 inference(monotonicity,[status(thm)],[11673])).
% 25.09/16.46 tff(11675,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB99)) | v112(constB99))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB99) | (~v113(constB99)))),
% 25.09/16.46 inference(transitivity,[status(thm)],[11674, 11672])).
% 25.09/16.46 tff(11676,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB99)) | v112(constB99))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11677,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB99) | (~v113(constB99))),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11676, 11675])).
% 25.09/16.46 tff(11678,plain,
% 25.09/16.46 ($false),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11677, 182, 11671, 11609])).
% 25.09/16.46 tff(11679,plain,(v94(constB100) | v84(constB100, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.46 tff(11680,plain,
% 25.09/16.46 (v94(constB100)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11679, 11599])).
% 25.09/16.46 tff(11681,plain,
% 25.09/16.46 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11682,plain,
% 25.09/16.46 ((v84(constB100, bitIndex2) | (~v94(constB100)) | (~v123(constB100, bitIndex2))) <=> (v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100)))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11683,plain,
% 25.09/16.46 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v94(constB100)) | (~v123(constB100, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100))))),
% 25.09/16.46 inference(monotonicity,[status(thm)],[11682])).
% 25.09/16.46 tff(11684,plain,
% 25.09/16.46 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v94(constB100)) | (~v123(constB100, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100)))),
% 25.09/16.46 inference(transitivity,[status(thm)],[11683, 11681])).
% 25.09/16.46 tff(11685,plain,
% 25.09/16.46 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB100, bitIndex2) | (~v94(constB100)) | (~v123(constB100, bitIndex2)))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11686,plain,
% 25.09/16.46 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)) | (~v94(constB100))),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11685, 11684])).
% 25.09/16.46 tff(11687,plain,
% 25.09/16.46 (v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2))),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11686, 1317, 11680])).
% 25.09/16.46 tff(11688,plain,
% 25.09/16.46 (~v123(constB100, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11687, 11589])).
% 25.09/16.46 tff(11689,plain,
% 25.09/16.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11690,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11691,plain,
% 25.09/16.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11690, 11689])).
% 25.09/16.46 tff(11692,plain,
% 25.09/16.46 ((~v121(constB99, bitIndex2)) | v123(constB100, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11691, 1302, 11462])).
% 25.09/16.46 tff(11693,plain,
% 25.09/16.46 (~v121(constB99, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11692, 11688])).
% 25.09/16.46 tff(11694,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB99) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB99) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11695,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB99) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11696,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB99) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11695, 11694])).
% 25.09/16.46 tff(11697,plain,
% 25.09/16.46 ((~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11696, 1287, 11444])).
% 25.09/16.46 tff(11698,plain,
% 25.09/16.46 (~v124(constB99, bitIndex2)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11697, 11693])).
% 25.09/16.46 tff(11699,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB99)) | v124(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB99)) | v124(constB99, bitIndex2))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11700,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB99)) | v124(constB99, bitIndex2))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11701,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB99)) | v124(constB99, bitIndex2)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11700, 11699])).
% 25.09/16.46 tff(11702,plain,
% 25.09/16.46 (~v116(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11701, 1273, 11698])).
% 25.09/16.46 tff(11703,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB99)) | v124(constB99, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB99)) | v124(constB99, bitIndex2))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11704,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB99)) | v124(constB99, bitIndex2))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11705,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB99)) | v124(constB99, bitIndex2)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 25.09/16.46 tff(11706,plain,
% 25.09/16.46 (~v118(constB99)),
% 25.09/16.46 inference(unit_resolution,[status(thm)],[11705, 1761, 11698])).
% 25.09/16.46 tff(11707,assumption,(~v115(constB101)), introduced(assumption)).
% 25.09/16.46 tff(11708,plain,
% 25.09/16.46 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))),
% 25.09/16.46 inference(rewrite,[status(thm)],[])).
% 25.09/16.46 tff(11709,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))),
% 25.09/16.46 inference(quant_inst,[status(thm)],[])).
% 25.09/16.46 tff(11710,plain,
% 25.09/16.46 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101)),
% 25.09/16.46 inference(modus_ponens,[status(thm)],[11709, 11708])).
% 25.09/16.46 tff(11711,plain,
% 25.09/16.46 (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11710, 950, 11707])).
% 25.09/16.47 tff(11712,plain,
% 25.09/16.47 (~v84(constB101, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11711, 11580, 11590])).
% 25.09/16.47 tff(11713,plain,
% 25.09/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11714,plain,
% 25.09/16.47 (((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1)) <=> ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11715,plain,
% 25.09/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1)))),
% 25.09/16.47 inference(monotonicity,[status(thm)],[11714])).
% 25.09/16.47 tff(11716,plain,
% 25.09/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1))),
% 25.09/16.47 inference(transitivity,[status(thm)],[11715, 11713])).
% 25.09/16.47 tff(11717,plain,
% 25.09/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB100, constB101)) | (~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11718,plain,
% 25.09/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB100, bitIndex1)) | (~nextState(constB100, constB101)) | v94(constB101) | v84(constB101, bitIndex1)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11717, 11716])).
% 25.09/16.47 tff(11719,plain,
% 25.09/16.47 ((~v84(constB100, bitIndex1)) | v94(constB101) | v84(constB101, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11718, 860, 11527])).
% 25.09/16.47 tff(11720,plain,
% 25.09/16.47 ((~v84(constB100, bitIndex1)) | v84(constB101, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11719, 11539])).
% 25.09/16.47 tff(11721,plain,
% 25.09/16.47 (~v84(constB100, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11720, 11712])).
% 25.09/16.47 tff(11722,plain,
% 25.09/16.47 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11723,plain,
% 25.09/16.47 ((v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1))) <=> (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11724,plain,
% 25.09/16.47 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100))))),
% 25.09/16.47 inference(monotonicity,[status(thm)],[11723])).
% 25.09/16.47 tff(11725,plain,
% 25.09/16.47 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100)))),
% 25.09/16.47 inference(transitivity,[status(thm)],[11724, 11722])).
% 25.09/16.47 tff(11726,plain,
% 25.09/16.47 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB100, bitIndex1) | (~v94(constB100)) | (~v123(constB100, bitIndex1)))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11727,plain,
% 25.09/16.47 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)) | (~v94(constB100))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11726, 11725])).
% 25.09/16.47 tff(11728,plain,
% 25.09/16.47 (v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1))),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11727, 842, 11680])).
% 25.09/16.47 tff(11729,plain,
% 25.09/16.47 (~v123(constB100, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11728, 11721])).
% 25.09/16.47 tff(11730,plain,
% 25.09/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11731,plain,
% 25.09/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11732,plain,
% 25.09/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11731, 11730])).
% 25.09/16.47 tff(11733,plain,
% 25.09/16.47 ((~v121(constB99, bitIndex1)) | v123(constB100, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11732, 827, 11462])).
% 25.09/16.47 tff(11734,plain,
% 25.09/16.47 (~v121(constB99, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11733, 11729])).
% 25.09/16.47 tff(11735,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11736,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11737,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB99) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11736, 11735])).
% 25.09/16.47 tff(11738,plain,
% 25.09/16.47 ((~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11737, 812, 11444])).
% 25.09/16.47 tff(11739,plain,
% 25.09/16.47 (~v124(constB99, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11738, 11734])).
% 25.09/16.47 tff(11740,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB99)) | v124(constB99, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB99)) | v124(constB99, bitIndex1))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11741,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB99)) | v124(constB99, bitIndex1))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11742,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB99)) | v124(constB99, bitIndex1)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11741, 11740])).
% 25.09/16.47 tff(11743,plain,
% 25.09/16.47 (~v145(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11742, 798, 11739])).
% 25.09/16.47 tff(11744,plain,
% 25.09/16.47 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11745,plain,
% 25.09/16.47 ((v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0))) <=> (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11746,plain,
% 25.09/16.47 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100))))),
% 25.09/16.47 inference(monotonicity,[status(thm)],[11745])).
% 25.09/16.47 tff(11747,plain,
% 25.09/16.47 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100)))),
% 25.09/16.47 inference(transitivity,[status(thm)],[11746, 11744])).
% 25.09/16.47 tff(11748,plain,
% 25.09/16.47 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0)))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11749,plain,
% 25.09/16.47 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)) | (~v94(constB100))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11748, 11747])).
% 25.09/16.47 tff(11750,plain,
% 25.09/16.47 (~v123(constB100, bitIndex0)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11749, 577, 11680, 11599])).
% 25.09/16.47 tff(11751,plain,
% 25.09/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11752,plain,
% 25.09/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11753,plain,
% 25.09/16.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB99, constB100)) | (~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11752, 11751])).
% 25.09/16.47 tff(11754,plain,
% 25.09/16.47 ((~v121(constB99, bitIndex0)) | v123(constB100, bitIndex0)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11753, 562, 11462])).
% 25.09/16.47 tff(11755,plain,
% 25.09/16.47 (~v121(constB99, bitIndex0)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11754, 11750])).
% 25.09/16.47 tff(11756,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11757,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11758,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB99) | (~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11757, 11756])).
% 25.09/16.47 tff(11759,plain,
% 25.09/16.47 ((~v124(constB99, bitIndex0)) | v121(constB99, bitIndex0)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11758, 547, 11444])).
% 25.09/16.47 tff(11760,plain,
% 25.09/16.47 (~v124(constB99, bitIndex0)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11759, 11755])).
% 25.09/16.47 tff(11761,assumption,(~v124(constB99, bitIndex0)), introduced(assumption)).
% 25.09/16.47 tff(11762,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB99)) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB99)) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11763,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB99)) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11764,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB99)) | v124(constB99, bitIndex0)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11763, 11762])).
% 25.09/16.47 tff(11765,plain,
% 25.09/16.47 (~v172(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11764, 1636, 11761])).
% 25.09/16.47 tff(11766,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB99)) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB99)) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11767,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB99)) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11768,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB99)) | v124(constB99, bitIndex0)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11767, 11766])).
% 25.09/16.47 tff(11769,plain,
% 25.09/16.47 (~v113(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11768, 533, 11761])).
% 25.09/16.47 tff(11770,plain,
% 25.09/16.47 (v84(constB99, bitIndex1)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11651, 11628, 11769, 11765])).
% 25.09/16.47 tff(11771,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB99)) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB99)) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11772,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB99)) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11773,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB99)) | v124(constB99, bitIndex0)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11772, 11771])).
% 25.09/16.47 tff(11774,plain,
% 25.09/16.47 (~v115(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11773, 1140, 11761])).
% 25.09/16.47 tff(11775,plain,
% 25.09/16.47 (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11667, 950, 11774])).
% 25.09/16.47 tff(11776,plain,
% 25.09/16.47 (v84(constB99, bitIndex2)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11775, 11770, 11628])).
% 25.09/16.47 tff(11777,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB99)) | (~v84(constB99, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB99)) | (~v84(constB99, bitIndex2)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11778,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB99)) | (~v84(constB99, bitIndex2)))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11779,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB99)) | (~v84(constB99, bitIndex2))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 25.09/16.47 tff(11780,plain,
% 25.09/16.47 (~v116(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11779, 1985, 11776])).
% 25.09/16.47 tff(11781,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB99)) | (~v84(constB99, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB99)) | (~v84(constB99, bitIndex1)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11782,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB99)) | (~v84(constB99, bitIndex1)))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11783,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB99)) | (~v84(constB99, bitIndex1))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11782, 11781])).
% 25.09/16.47 tff(11784,plain,
% 25.09/16.47 (~v145(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11783, 2018, 11770])).
% 25.09/16.47 tff(11785,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB99)) | (~v84(constB99, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB99)) | (~v84(constB99, bitIndex1)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11786,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB99)) | (~v84(constB99, bitIndex1)))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11787,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB99)) | (~v84(constB99, bitIndex1))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11786, 11785])).
% 25.09/16.47 tff(11788,plain,
% 25.09/16.47 (~v118(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11787, 2007, 11770])).
% 25.09/16.47 tff(11789,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11790,plain,
% 25.09/16.47 ((v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | v124(constB99, bitIndex0)) <=> (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11791,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0)))),
% 25.09/16.47 inference(monotonicity,[status(thm)],[11790])).
% 25.09/16.47 tff(11792,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | v124(constB99, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(transitivity,[status(thm)],[11791, 11789])).
% 25.09/16.47 tff(11793,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | v124(constB99, bitIndex0))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11794,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99) | v124(constB99, bitIndex0)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 25.09/16.47 tff(11795,plain,
% 25.09/16.47 (v172(constB99) | v145(constB99) | v118(constB99) | v116(constB99) | v115(constB99) | v113(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11794, 2152, 11761])).
% 25.09/16.47 tff(11796,plain,
% 25.09/16.47 ($false),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11795, 11788, 11784, 11774, 11765, 11769, 11780])).
% 25.09/16.47 tff(11797,plain,(v84(constB99, bitIndex0) | v124(constB99, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.47 tff(11798,plain,
% 25.09/16.47 (v84(constB99, bitIndex0)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11797, 11760])).
% 25.09/16.47 tff(11799,plain,
% 25.09/16.47 (^[VarCurr: state_type] : refl(((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0))))),
% 25.09/16.47 inference(bind,[status(th)],[])).
% 25.09/16.47 tff(11800,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(quant_intro,[status(thm)],[11799])).
% 25.09/16.47 tff(11801,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11802,axiom,(![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 25.09/16.47 tff(11803,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11802, 11801])).
% 25.09/16.47 tff(11804,plain,(
% 25.09/16.47 ![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(skolemize,[status(sab)],[11803])).
% 25.09/16.47 tff(11805,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11804, 11800])).
% 25.09/16.47 tff(11806,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB99)) | (~v84(constB99, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB99)) | (~v84(constB99, bitIndex0)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11807,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB99)) | (~v84(constB99, bitIndex0)))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11808,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB99)) | (~v84(constB99, bitIndex0))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 25.09/16.47 tff(11809,plain,
% 25.09/16.47 (~v115(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11808, 11805, 11798])).
% 25.09/16.47 tff(11810,plain,
% 25.09/16.47 (^[VarCurr: state_type] : refl(((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0))))),
% 25.09/16.47 inference(bind,[status(th)],[])).
% 25.09/16.47 tff(11811,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(quant_intro,[status(thm)],[11810])).
% 25.09/16.47 tff(11812,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11813,axiom,(![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 25.09/16.47 tff(11814,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11813, 11812])).
% 25.09/16.47 tff(11815,plain,(
% 25.09/16.47 ![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(skolemize,[status(sab)],[11814])).
% 25.09/16.47 tff(11816,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11815, 11811])).
% 25.09/16.47 tff(11817,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB99)) | (~v84(constB99, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB99)) | (~v84(constB99, bitIndex0)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11818,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB99)) | (~v84(constB99, bitIndex0)))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11819,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB99)) | (~v84(constB99, bitIndex0))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11818, 11817])).
% 25.09/16.47 tff(11820,plain,
% 25.09/16.47 (~v172(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11819, 11816, 11798])).
% 25.09/16.47 tff(11821,plain,
% 25.09/16.47 (^[VarCurr: state_type] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0))))),
% 25.09/16.47 inference(bind,[status(th)],[])).
% 25.09/16.47 tff(11822,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(quant_intro,[status(thm)],[11821])).
% 25.09/16.47 tff(11823,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11824,axiom,(![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 25.09/16.47 tff(11825,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11824, 11823])).
% 25.09/16.47 tff(11826,plain,(
% 25.09/16.47 ![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(skolemize,[status(sab)],[11825])).
% 25.09/16.47 tff(11827,plain,
% 25.09/16.47 (![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11826, 11822])).
% 25.09/16.47 tff(11828,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB99)) | (~v84(constB99, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB99)) | (~v84(constB99, bitIndex0)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11829,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB99)) | (~v84(constB99, bitIndex0)))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11830,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB99)) | (~v84(constB99, bitIndex0))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 25.09/16.47 tff(11831,plain,
% 25.09/16.47 (~v113(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11830, 11827, 11798])).
% 25.09/16.47 tff(11832,plain,
% 25.09/16.47 (v145(constB99) | v118(constB99) | v116(constB99)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11794, 2152, 11831, 11820, 11809, 11760])).
% 25.09/16.47 tff(11833,plain,
% 25.09/16.47 ($false),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11832, 11743, 11706, 11702])).
% 25.09/16.47 tff(11834,plain,(v84(constB101, bitIndex2) | v84(constB101, bitIndex0) | v115(constB101)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.47 tff(11835,plain,
% 25.09/16.47 (v115(constB101)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11834, 11579, 11548])).
% 25.09/16.47 tff(11836,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB101)) | v111(constB101))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB101)) | v111(constB101))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11837,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB101)) | v111(constB101))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11838,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB101)) | v111(constB101)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11837, 11836])).
% 25.09/16.47 tff(11839,plain,
% 25.09/16.47 (v111(constB101)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11838, 961, 11835])).
% 25.09/16.47 tff(11840,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB101)) | v110(constB101))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB101)) | v110(constB101))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11841,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB101)) | v110(constB101))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11842,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB101)) | v110(constB101)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 25.09/16.47 tff(11843,plain,
% 25.09/16.47 (v110(constB101)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11842, 207, 11839])).
% 25.09/16.47 tff(11844,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB101) | (~v110(constB101)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB101) | (~v110(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11845,plain,
% 25.09/16.47 (((~v110(constB101)) | v109(constB101)) <=> (v109(constB101) | (~v110(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11846,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB101)) | v109(constB101))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB101) | (~v110(constB101))))),
% 25.09/16.47 inference(monotonicity,[status(thm)],[11845])).
% 25.09/16.47 tff(11847,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB101)) | v109(constB101))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB101) | (~v110(constB101)))),
% 25.09/16.47 inference(transitivity,[status(thm)],[11846, 11844])).
% 25.09/16.47 tff(11848,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB101)) | v109(constB101))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11849,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB101) | (~v110(constB101))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11848, 11847])).
% 25.09/16.47 tff(11850,plain,
% 25.09/16.47 (v109(constB101)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11849, 221, 11843])).
% 25.09/16.47 tff(11851,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB101)) | v108(constB101))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB101)) | v108(constB101))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11852,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB101)) | v108(constB101))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11853,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB101)) | v108(constB101)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11852, 11851])).
% 25.09/16.47 tff(11854,plain,
% 25.09/16.47 (v108(constB101)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11853, 235, 11850])).
% 25.09/16.47 tff(11855,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB101) | (~v108(constB101)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB101) | (~v108(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11856,plain,
% 25.09/16.47 (((~v108(constB101)) | v107(constB101)) <=> (v107(constB101) | (~v108(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11857,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB101)) | v107(constB101))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB101) | (~v108(constB101))))),
% 25.09/16.47 inference(monotonicity,[status(thm)],[11856])).
% 25.09/16.47 tff(11858,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB101)) | v107(constB101))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB101) | (~v108(constB101)))),
% 25.09/16.47 inference(transitivity,[status(thm)],[11857, 11855])).
% 25.09/16.47 tff(11859,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB101)) | v107(constB101))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11860,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB101) | (~v108(constB101))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11859, 11858])).
% 25.09/16.47 tff(11861,plain,
% 25.09/16.47 (v107(constB101)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11860, 249, 11854])).
% 25.09/16.47 tff(11862,assumption,(v26(constB101)), introduced(assumption)).
% 25.09/16.47 tff(11863,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB101))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11864,plain,
% 25.09/16.47 ($false),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11863, 18, 11862])).
% 25.09/16.47 tff(11865,plain,(~v26(constB101)), inference(lemma,lemma(discharge,[]))).
% 25.09/16.47 tff(11866,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11867,plain,
% 25.09/16.47 ((v26(constB101) | (~v107(constB101)) | v106(constB101)) <=> (v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11868,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101))))),
% 25.09/16.47 inference(monotonicity,[status(thm)],[11867])).
% 25.09/16.47 tff(11869,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 25.09/16.47 inference(transitivity,[status(thm)],[11868, 11866])).
% 25.09/16.47 tff(11870,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11871,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11870, 11869])).
% 25.09/16.47 tff(11872,plain,
% 25.09/16.47 (v106(constB101) | (~v107(constB101))),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11871, 263, 11865])).
% 25.09/16.47 tff(11873,plain,
% 25.09/16.47 (v106(constB101)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11872, 11861])).
% 25.09/16.47 tff(11874,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB101) | (~v106(constB101)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB101) | (~v106(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11875,plain,
% 25.09/16.47 (((~v106(constB101)) | v102(constB101)) <=> (v102(constB101) | (~v106(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11876,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB101)) | v102(constB101))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB101) | (~v106(constB101))))),
% 25.09/16.47 inference(monotonicity,[status(thm)],[11875])).
% 25.09/16.47 tff(11877,plain,
% 25.09/16.47 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB101)) | v102(constB101))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB101) | (~v106(constB101)))),
% 25.09/16.47 inference(transitivity,[status(thm)],[11876, 11874])).
% 25.09/16.47 tff(11878,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB101)) | v102(constB101))),
% 25.09/16.47 inference(quant_inst,[status(thm)],[])).
% 25.09/16.47 tff(11879,plain,
% 25.09/16.47 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB101) | (~v106(constB101))),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11878, 11877])).
% 25.09/16.47 tff(11880,plain,
% 25.09/16.47 (v102(constB101)),
% 25.09/16.47 inference(unit_resolution,[status(thm)],[11879, 275, 11873])).
% 25.09/16.47 tff(11881,plain,
% 25.09/16.47 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11882,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 25.09/16.47 tff(11883,plain,
% 25.09/16.47 (nextState(constB101, constB102)),
% 25.09/16.47 inference(modus_ponens,[status(thm)],[11882, 11881])).
% 25.09/16.47 tff(11884,plain,
% 25.09/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11885,plain,
% 25.09/16.47 (((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102)) <=> ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 25.09/16.47 inference(rewrite,[status(thm)],[])).
% 25.09/16.47 tff(11886,plain,
% 25.09/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))))),
% 25.09/16.47 inference(monotonicity,[status(thm)],[11885])).
% 25.09/16.47 tff(11887,plain,
% 25.09/16.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 25.09/16.48 inference(transitivity,[status(thm)],[11886, 11884])).
% 25.09/16.48 tff(11888,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11889,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 25.09/16.48 tff(11890,plain,
% 25.09/16.48 (v104(constB102) | (~v102(constB101))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11889, 295, 11883])).
% 25.09/16.48 tff(11891,plain,
% 25.09/16.48 (v104(constB102)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11890, 11880])).
% 25.09/16.48 tff(11892,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11893,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11894,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 25.09/16.48 tff(11895,plain,
% 25.09/16.48 (~v98(constB102)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11894, 313, 11883, 11524])).
% 25.09/16.48 tff(11896,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11897,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11898,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 25.09/16.48 tff(11899,plain,
% 25.09/16.48 (v96(constB102) | v98(constB102)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11898, 327, 11883])).
% 25.09/16.48 tff(11900,plain,
% 25.09/16.48 (v96(constB102)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11899, 11895])).
% 25.09/16.48 tff(11901,plain,
% 25.09/16.48 (v1(constB102) <=> v1(constB102)),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11902,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 25.09/16.48 tff(11903,plain,
% 25.09/16.48 (v1(constB102)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11902, 11901])).
% 25.09/16.48 tff(11904,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11905,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11906,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11905, 11904])).
% 25.09/16.48 tff(11907,plain,
% 25.09/16.48 (v95(constB102) | (~v96(constB102))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11906, 345, 11883, 11903])).
% 25.09/16.48 tff(11908,plain,
% 25.09/16.48 (v95(constB102)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11907, 11900])).
% 25.09/16.48 tff(11909,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11910,plain,
% 25.09/16.48 (((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102)) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11911,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102))))),
% 25.09/16.48 inference(monotonicity,[status(thm)],[11910])).
% 25.09/16.48 tff(11912,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102)))),
% 25.09/16.48 inference(transitivity,[status(thm)],[11911, 11909])).
% 25.09/16.48 tff(11913,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11914,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | v94(constB102) | (~v95(constB102)) | (~v104(constB102))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11913, 11912])).
% 25.09/16.48 tff(11915,plain,
% 25.09/16.48 (v94(constB102) | (~v95(constB102)) | (~v104(constB102))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11914, 360, 11883])).
% 25.09/16.48 tff(11916,plain,
% 25.09/16.48 (v94(constB102) | (~v104(constB102))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11915, 11908])).
% 25.09/16.48 tff(11917,plain,
% 25.09/16.48 (v94(constB102)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11916, 11891])).
% 25.09/16.48 tff(11918,plain,
% 25.09/16.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB101)) | (~v124(constB101, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB101)) | (~v124(constB101, bitIndex2)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11919,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB101)) | (~v124(constB101, bitIndex2)))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11920,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB101)) | (~v124(constB101, bitIndex2))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11919, 11918])).
% 25.09/16.48 tff(11921,plain,
% 25.09/16.48 (~v124(constB101, bitIndex2)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11920, 1046, 11835])).
% 25.09/16.48 tff(11922,plain,
% 25.09/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11923,plain,
% 25.09/16.48 ((v26(constB101) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2))) <=> ((~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11924,plain,
% 25.09/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB101) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2)))),
% 25.09/16.48 inference(monotonicity,[status(thm)],[11923])).
% 25.09/16.48 tff(11925,plain,
% 25.09/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB101) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2))),
% 25.09/16.48 inference(transitivity,[status(thm)],[11924, 11922])).
% 25.09/16.48 tff(11926,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB101) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2)))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11927,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB101, bitIndex2)) | v26(constB101) | v124(constB101, bitIndex2)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 25.09/16.48 tff(11928,plain,
% 25.09/16.48 ((~v121(constB101, bitIndex2)) | v124(constB101, bitIndex2)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11927, 390, 11865])).
% 25.09/16.48 tff(11929,plain,
% 25.09/16.48 (~v121(constB101, bitIndex2)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11928, 11921])).
% 25.09/16.48 tff(11930,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11931,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB101, constB102)) | v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2)))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11932,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB101, constB102)) | v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11931, 11930])).
% 25.09/16.48 tff(11933,plain,
% 25.09/16.48 (v121(constB101, bitIndex2) | (~v123(constB102, bitIndex2))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11932, 408, 11883])).
% 25.09/16.48 tff(11934,plain,
% 25.09/16.48 (~v123(constB102, bitIndex2)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11933, 11929])).
% 25.09/16.48 tff(11935,plain,
% 25.09/16.48 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11936,plain,
% 25.09/16.48 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102)))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11937,plain,
% 25.09/16.48 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2) | (~v94(constB102))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11936, 11935])).
% 25.09/16.48 tff(11938,plain,
% 25.09/16.48 ((~v84(constB102, bitIndex2)) | (~v94(constB102))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11937, 423, 11934])).
% 25.09/16.48 tff(11939,plain,
% 25.09/16.48 (~v84(constB102, bitIndex2)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11938, 11917])).
% 25.09/16.48 tff(11940,plain,
% 25.09/16.48 ((~v1(constB103)) <=> (~v1(constB103))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11941,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 25.09/16.48 tff(11942,plain,
% 25.09/16.48 (~v1(constB103)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 25.09/16.48 tff(11943,plain,
% 25.09/16.48 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11944,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 25.09/16.48 tff(11945,plain,
% 25.09/16.48 (nextState(constB102, constB103)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11944, 11943])).
% 25.09/16.48 tff(11946,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11947,plain,
% 25.09/16.48 (((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11948,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))))),
% 25.09/16.48 inference(monotonicity,[status(thm)],[11947])).
% 25.09/16.48 tff(11949,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 25.09/16.48 inference(transitivity,[status(thm)],[11948, 11946])).
% 25.09/16.48 tff(11950,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11951,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11950, 11949])).
% 25.09/16.48 tff(11952,plain,
% 25.09/16.48 (~v95(constB103)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11951, 73, 11945, 11942])).
% 25.09/16.48 tff(11953,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11954,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11955,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11954, 11953])).
% 25.09/16.48 tff(11956,plain,
% 25.09/16.48 (v95(constB103) | (~v94(constB103))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11955, 90, 11945])).
% 25.09/16.48 tff(11957,plain,
% 25.09/16.48 (~v94(constB103)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11956, 11952])).
% 25.09/16.48 tff(11958,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11959,plain,
% 25.09/16.48 (((~nextState(constB102, constB103)) | v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2))) <=> (v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11960,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2))))),
% 25.09/16.48 inference(monotonicity,[status(thm)],[11959])).
% 25.09/16.48 tff(11961,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2)))),
% 25.09/16.48 inference(transitivity,[status(thm)],[11960, 11958])).
% 25.09/16.48 tff(11962,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB102, constB103)) | v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2)))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11963,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB102, bitIndex2) | (~nextState(constB102, constB103)) | v94(constB103) | (~v84(constB103, bitIndex2))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11962, 11961])).
% 25.09/16.48 tff(11964,plain,
% 25.09/16.48 (v84(constB102, bitIndex2) | v94(constB103) | (~v84(constB103, bitIndex2))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11963, 105, 11945])).
% 25.09/16.48 tff(11965,plain,
% 25.09/16.48 (v84(constB102, bitIndex2) | (~v84(constB103, bitIndex2))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11964, 11957])).
% 25.09/16.48 tff(11966,plain,
% 25.09/16.48 (~v84(constB103, bitIndex2)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11965, 11939])).
% 25.09/16.48 tff(11967,plain,
% 25.09/16.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB101)) | v124(constB101, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB101)) | v124(constB101, bitIndex1))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11968,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB101)) | v124(constB101, bitIndex1))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11969,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB101)) | v124(constB101, bitIndex1)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11968, 11967])).
% 25.09/16.48 tff(11970,plain,
% 25.09/16.48 (v124(constB101, bitIndex1)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11969, 1102, 11835])).
% 25.09/16.48 tff(11971,plain,
% 25.09/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB101) | (~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB101) | (~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11972,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB101) | (~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11973,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB101) | (~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11972, 11971])).
% 25.09/16.48 tff(11974,plain,
% 25.09/16.48 ((~v124(constB101, bitIndex1)) | v121(constB101, bitIndex1)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11973, 812, 11865])).
% 25.09/16.48 tff(11975,plain,
% 25.09/16.48 (v121(constB101, bitIndex1)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11974, 11970])).
% 25.09/16.48 tff(11976,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11977,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11978,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11977, 11976])).
% 25.09/16.48 tff(11979,plain,
% 25.09/16.48 ((~v121(constB101, bitIndex1)) | v123(constB102, bitIndex1)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11978, 827, 11883])).
% 25.09/16.48 tff(11980,plain,
% 25.09/16.48 (v123(constB102, bitIndex1)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11979, 11975])).
% 25.09/16.48 tff(11981,plain,
% 25.09/16.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11982,plain,
% 25.09/16.48 ((v84(constB102, bitIndex1) | (~v94(constB102)) | (~v123(constB102, bitIndex1))) <=> (v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102)))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11983,plain,
% 25.09/16.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v94(constB102)) | (~v123(constB102, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102))))),
% 25.09/16.48 inference(monotonicity,[status(thm)],[11982])).
% 25.09/16.48 tff(11984,plain,
% 25.09/16.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v94(constB102)) | (~v123(constB102, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102)))),
% 25.09/16.48 inference(transitivity,[status(thm)],[11983, 11981])).
% 25.09/16.48 tff(11985,plain,
% 25.09/16.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB102, bitIndex1) | (~v94(constB102)) | (~v123(constB102, bitIndex1)))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11986,plain,
% 25.09/16.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)) | (~v94(constB102))),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11985, 11984])).
% 25.09/16.48 tff(11987,plain,
% 25.09/16.48 (v84(constB102, bitIndex1) | (~v94(constB102))),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11986, 842, 11980])).
% 25.09/16.48 tff(11988,plain,
% 25.09/16.48 (v84(constB102, bitIndex1)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11987, 11917])).
% 25.09/16.48 tff(11989,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11990,plain,
% 25.09/16.48 (((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1)) <=> ((~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11991,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1)))),
% 25.09/16.48 inference(monotonicity,[status(thm)],[11990])).
% 25.09/16.48 tff(11992,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1))),
% 25.09/16.48 inference(transitivity,[status(thm)],[11991, 11989])).
% 25.09/16.48 tff(11993,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(11994,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB102, bitIndex1)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex1)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11993, 11992])).
% 25.09/16.48 tff(11995,plain,
% 25.09/16.48 ((~v84(constB102, bitIndex1)) | v94(constB103) | v84(constB103, bitIndex1)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11994, 860, 11945])).
% 25.09/16.48 tff(11996,plain,
% 25.09/16.48 ((~v84(constB102, bitIndex1)) | v84(constB103, bitIndex1)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11995, 11957])).
% 25.09/16.48 tff(11997,plain,
% 25.09/16.48 (v84(constB103, bitIndex1)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[11996, 11988])).
% 25.09/16.48 tff(11998,plain,
% 25.09/16.48 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB101)) | v124(constB101, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB101)) | v124(constB101, bitIndex0))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(11999,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB101)) | v124(constB101, bitIndex0))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(12000,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB101)) | v124(constB101, bitIndex0)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[11999, 11998])).
% 25.09/16.48 tff(12001,plain,
% 25.09/16.48 (v124(constB101, bitIndex0)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[12000, 1140, 11835])).
% 25.09/16.48 tff(12002,plain,
% 25.09/16.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB101) | (~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB101) | (~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(12003,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB101) | (~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0))),
% 25.09/16.48 inference(quant_inst,[status(thm)],[])).
% 25.09/16.48 tff(12004,plain,
% 25.09/16.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB101) | (~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0)),
% 25.09/16.48 inference(modus_ponens,[status(thm)],[12003, 12002])).
% 25.09/16.48 tff(12005,plain,
% 25.09/16.48 ((~v124(constB101, bitIndex0)) | v121(constB101, bitIndex0)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[12004, 547, 11865])).
% 25.09/16.48 tff(12006,plain,
% 25.09/16.48 (v121(constB101, bitIndex0)),
% 25.09/16.48 inference(unit_resolution,[status(thm)],[12005, 12001])).
% 25.09/16.48 tff(12007,plain,
% 25.09/16.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0))),
% 25.09/16.48 inference(rewrite,[status(thm)],[])).
% 25.09/16.48 tff(12008,plain,
% 25.09/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB101, constB102)) | (~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(12009,plain,
% 25.17/16.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB101, constB102)) | (~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0)),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[12008, 12007])).
% 25.17/16.48 tff(12010,plain,
% 25.17/16.48 ((~v121(constB101, bitIndex0)) | v123(constB102, bitIndex0)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[12009, 562, 11883])).
% 25.17/16.48 tff(12011,plain,
% 25.17/16.48 (v123(constB102, bitIndex0)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[12010, 12006])).
% 25.17/16.48 tff(12012,plain,
% 25.17/16.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(12013,plain,
% 25.17/16.48 ((v84(constB102, bitIndex0) | (~v94(constB102)) | (~v123(constB102, bitIndex0))) <=> (v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102)))),
% 25.17/16.48 inference(rewrite,[status(thm)],[])).
% 25.17/16.48 tff(12014,plain,
% 25.17/16.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v94(constB102)) | (~v123(constB102, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102))))),
% 25.17/16.48 inference(monotonicity,[status(thm)],[12013])).
% 25.17/16.48 tff(12015,plain,
% 25.17/16.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v94(constB102)) | (~v123(constB102, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102)))),
% 25.17/16.48 inference(transitivity,[status(thm)],[12014, 12012])).
% 25.17/16.48 tff(12016,plain,
% 25.17/16.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB102, bitIndex0) | (~v94(constB102)) | (~v123(constB102, bitIndex0)))),
% 25.17/16.48 inference(quant_inst,[status(thm)],[])).
% 25.17/16.48 tff(12017,plain,
% 25.17/16.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)) | (~v94(constB102))),
% 25.17/16.48 inference(modus_ponens,[status(thm)],[12016, 12015])).
% 25.17/16.48 tff(12018,plain,
% 25.17/16.48 (v84(constB102, bitIndex0) | (~v94(constB102))),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[12017, 577, 12011])).
% 25.17/16.48 tff(12019,plain,
% 25.17/16.48 (v84(constB102, bitIndex0)),
% 25.17/16.48 inference(unit_resolution,[status(thm)],[12018, 11917])).
% 25.17/16.48 tff(12020,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12021,plain,
% 25.17/16.49 (((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0)) <=> ((~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12022,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0)))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12021])).
% 25.17/16.49 tff(12023,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12022, 12020])).
% 25.17/16.49 tff(12024,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB102, constB103)) | (~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12025,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB102, bitIndex0)) | (~nextState(constB102, constB103)) | v94(constB103) | v84(constB103, bitIndex0)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12024, 12023])).
% 25.17/16.49 tff(12026,plain,
% 25.17/16.49 ((~v84(constB102, bitIndex0)) | v94(constB103) | v84(constB103, bitIndex0)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12025, 595, 11945])).
% 25.17/16.49 tff(12027,plain,
% 25.17/16.49 ((~v84(constB102, bitIndex0)) | v84(constB103, bitIndex0)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12026, 11957])).
% 25.17/16.49 tff(12028,plain,
% 25.17/16.49 (v84(constB103, bitIndex0)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12027, 12019])).
% 25.17/16.49 tff(12029,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12030,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12031,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12030, 12029])).
% 25.17/16.49 tff(12032,plain,
% 25.17/16.49 (v116(constB103)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12031, 1181, 12028, 11997, 11966])).
% 25.17/16.49 tff(12033,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB103)) | v110(constB103))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB103)) | v110(constB103))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12034,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB103)) | v110(constB103))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12035,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB103)) | v110(constB103)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12034, 12033])).
% 25.17/16.49 tff(12036,plain,
% 25.17/16.49 (v110(constB103)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12035, 1192, 12032])).
% 25.17/16.49 tff(12037,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB103) | (~v110(constB103)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB103) | (~v110(constB103)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12038,plain,
% 25.17/16.49 (((~v110(constB103)) | v109(constB103)) <=> (v109(constB103) | (~v110(constB103)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12039,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB103)) | v109(constB103))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB103) | (~v110(constB103))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12038])).
% 25.17/16.49 tff(12040,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB103)) | v109(constB103))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB103) | (~v110(constB103)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12039, 12037])).
% 25.17/16.49 tff(12041,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB103)) | v109(constB103))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12042,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB103) | (~v110(constB103))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12041, 12040])).
% 25.17/16.49 tff(12043,plain,
% 25.17/16.49 (v109(constB103)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12042, 221, 12036])).
% 25.17/16.49 tff(12044,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB103)) | v108(constB103))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB103)) | v108(constB103))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12045,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB103)) | v108(constB103))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12046,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB103)) | v108(constB103)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12045, 12044])).
% 25.17/16.49 tff(12047,plain,
% 25.17/16.49 (v108(constB103)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12046, 235, 12043])).
% 25.17/16.49 tff(12048,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB103)) | v107(constB103))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB103)) | v107(constB103))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12049,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB103)) | v107(constB103))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12050,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB103)) | v107(constB103)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12049, 12048])).
% 25.17/16.49 tff(12051,plain,
% 25.17/16.49 (v107(constB103)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12050, 249, 12047])).
% 25.17/16.49 tff(12052,assumption,(v26(constB103)), introduced(assumption)).
% 25.17/16.49 tff(12053,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB103))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12054,plain,
% 25.17/16.49 ($false),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12053, 18, 12052])).
% 25.17/16.49 tff(12055,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 25.17/16.49 tff(12056,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12057,plain,
% 25.17/16.49 ((v26(constB103) | (~v107(constB103)) | v106(constB103)) <=> (v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12058,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12057])).
% 25.17/16.49 tff(12059,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12058, 12056])).
% 25.17/16.49 tff(12060,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12061,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12060, 12059])).
% 25.17/16.49 tff(12062,plain,
% 25.17/16.49 (v106(constB103) | (~v107(constB103))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12061, 263, 12055])).
% 25.17/16.49 tff(12063,plain,
% 25.17/16.49 (v106(constB103)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12062, 12051])).
% 25.17/16.49 tff(12064,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB103) | (~v106(constB103)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB103) | (~v106(constB103)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12065,plain,
% 25.17/16.49 (((~v106(constB103)) | v102(constB103)) <=> (v102(constB103) | (~v106(constB103)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12066,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB103)) | v102(constB103))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB103) | (~v106(constB103))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12065])).
% 25.17/16.49 tff(12067,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB103)) | v102(constB103))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB103) | (~v106(constB103)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12066, 12064])).
% 25.17/16.49 tff(12068,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB103)) | v102(constB103))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12069,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB103) | (~v106(constB103))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12068, 12067])).
% 25.17/16.49 tff(12070,plain,
% 25.17/16.49 (v102(constB103)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12069, 275, 12063])).
% 25.17/16.49 tff(12071,plain,
% 25.17/16.49 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12072,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 25.17/16.49 tff(12073,plain,
% 25.17/16.49 (nextState(constB103, constB104)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12072, 12071])).
% 25.17/16.49 tff(12074,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12075,plain,
% 25.17/16.49 (((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104)) <=> ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12076,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12075])).
% 25.17/16.49 tff(12077,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12076, 12074])).
% 25.17/16.49 tff(12078,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12079,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12078, 12077])).
% 25.17/16.49 tff(12080,plain,
% 25.17/16.49 (v104(constB104) | (~v102(constB103))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12079, 295, 12073])).
% 25.17/16.49 tff(12081,plain,
% 25.17/16.49 (v104(constB104)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12080, 12070])).
% 25.17/16.49 tff(12082,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12083,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12084,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12083, 12082])).
% 25.17/16.49 tff(12085,plain,
% 25.17/16.49 (~v98(constB104)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12084, 313, 12073, 11942])).
% 25.17/16.49 tff(12086,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12087,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12088,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12087, 12086])).
% 25.17/16.49 tff(12089,plain,
% 25.17/16.49 (v96(constB104) | v98(constB104)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12088, 327, 12073])).
% 25.17/16.49 tff(12090,plain,
% 25.17/16.49 (v96(constB104)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12089, 12085])).
% 25.17/16.49 tff(12091,plain,
% 25.17/16.49 (v1(constB104) <=> v1(constB104)),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12092,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 25.17/16.49 tff(12093,plain,
% 25.17/16.49 (v1(constB104)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12092, 12091])).
% 25.17/16.49 tff(12094,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12095,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12096,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 25.17/16.49 tff(12097,plain,
% 25.17/16.49 (v95(constB104) | (~v96(constB104))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12096, 345, 12073, 12093])).
% 25.17/16.49 tff(12098,plain,
% 25.17/16.49 (v95(constB104)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12097, 12090])).
% 25.17/16.49 tff(12099,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12100,plain,
% 25.17/16.49 (((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104)) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12101,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12100])).
% 25.17/16.49 tff(12102,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12101, 12099])).
% 25.17/16.49 tff(12103,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12104,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | v94(constB104) | (~v95(constB104)) | (~v104(constB104))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12103, 12102])).
% 25.17/16.49 tff(12105,plain,
% 25.17/16.49 (v94(constB104) | (~v95(constB104)) | (~v104(constB104))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12104, 360, 12073])).
% 25.17/16.49 tff(12106,plain,
% 25.17/16.49 (v94(constB104) | (~v104(constB104))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12105, 12098])).
% 25.17/16.49 tff(12107,plain,
% 25.17/16.49 (v94(constB104)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12106, 12081])).
% 25.17/16.49 tff(12108,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB103)) | v124(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB103)) | v124(constB103, bitIndex2))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12109,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB103)) | v124(constB103, bitIndex2))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12110,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB103)) | v124(constB103, bitIndex2)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12109, 12108])).
% 25.17/16.49 tff(12111,plain,
% 25.17/16.49 (v124(constB103, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12110, 1273, 12032])).
% 25.17/16.49 tff(12112,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12113,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12114,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB103) | (~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12113, 12112])).
% 25.17/16.49 tff(12115,plain,
% 25.17/16.49 ((~v124(constB103, bitIndex2)) | v121(constB103, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12114, 1287, 12055])).
% 25.17/16.49 tff(12116,plain,
% 25.17/16.49 (v121(constB103, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12115, 12111])).
% 25.17/16.49 tff(12117,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12118,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12119,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB103, constB104)) | (~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12118, 12117])).
% 25.17/16.49 tff(12120,plain,
% 25.17/16.49 ((~v121(constB103, bitIndex2)) | v123(constB104, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12119, 1302, 12073])).
% 25.17/16.49 tff(12121,plain,
% 25.17/16.49 (v123(constB104, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12120, 12116])).
% 25.17/16.49 tff(12122,plain,
% 25.17/16.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12123,plain,
% 25.17/16.49 ((v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2))) <=> (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12124,plain,
% 25.17/16.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12123])).
% 25.17/16.49 tff(12125,plain,
% 25.17/16.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12124, 12122])).
% 25.17/16.49 tff(12126,plain,
% 25.17/16.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB104, bitIndex2) | (~v94(constB104)) | (~v123(constB104, bitIndex2)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12127,plain,
% 25.17/16.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)) | (~v94(constB104))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12126, 12125])).
% 25.17/16.49 tff(12128,plain,
% 25.17/16.49 (v84(constB104, bitIndex2) | (~v94(constB104))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12127, 1317, 12121])).
% 25.17/16.49 tff(12129,plain,
% 25.17/16.49 (v84(constB104, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12128, 12107])).
% 25.17/16.49 tff(12130,plain,
% 25.17/16.49 ((~v1(constB105)) <=> (~v1(constB105))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12131,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 25.17/16.49 tff(12132,plain,
% 25.17/16.49 (~v1(constB105)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12131, 12130])).
% 25.17/16.49 tff(12133,plain,
% 25.17/16.49 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12134,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 25.17/16.49 tff(12135,plain,
% 25.17/16.49 (nextState(constB104, constB105)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12134, 12133])).
% 25.17/16.49 tff(12136,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12137,plain,
% 25.17/16.49 (((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12138,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12137])).
% 25.17/16.49 tff(12139,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12138, 12136])).
% 25.17/16.49 tff(12140,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12141,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12140, 12139])).
% 25.17/16.49 tff(12142,plain,
% 25.17/16.49 (~v95(constB105)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12141, 73, 12135, 12132])).
% 25.17/16.49 tff(12143,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12144,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12145,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12144, 12143])).
% 25.17/16.49 tff(12146,plain,
% 25.17/16.49 (v95(constB105) | (~v94(constB105))),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12145, 90, 12135])).
% 25.17/16.49 tff(12147,plain,
% 25.17/16.49 (~v94(constB105)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12146, 12142])).
% 25.17/16.49 tff(12148,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12149,plain,
% 25.17/16.49 (((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2)) <=> ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12150,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2)))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12149])).
% 25.17/16.49 tff(12151,plain,
% 25.17/16.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12150, 12148])).
% 25.17/16.49 tff(12152,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB104, constB105)) | (~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12153,plain,
% 25.17/16.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB104, bitIndex2)) | (~nextState(constB104, constB105)) | v94(constB105) | v84(constB105, bitIndex2)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 25.17/16.49 tff(12154,plain,
% 25.17/16.49 ((~v84(constB104, bitIndex2)) | v94(constB105) | v84(constB105, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12153, 1353, 12135])).
% 25.17/16.49 tff(12155,plain,
% 25.17/16.49 ((~v84(constB104, bitIndex2)) | v84(constB105, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12154, 12147])).
% 25.17/16.49 tff(12156,plain,
% 25.17/16.49 (v84(constB105, bitIndex2)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12155, 12129])).
% 25.17/16.49 tff(12157,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB103)) | (~v124(constB103, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB103)) | (~v124(constB103, bitIndex1)))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12158,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB103)) | (~v124(constB103, bitIndex1)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12159,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB103)) | (~v124(constB103, bitIndex1))),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12158, 12157])).
% 25.17/16.49 tff(12160,plain,
% 25.17/16.49 (~v124(constB103, bitIndex1)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12159, 1369, 12032])).
% 25.17/16.49 tff(12161,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12162,plain,
% 25.17/16.49 ((v26(constB103) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1))) <=> ((~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1))),
% 25.17/16.49 inference(rewrite,[status(thm)],[])).
% 25.17/16.49 tff(12163,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB103) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1)))),
% 25.17/16.49 inference(monotonicity,[status(thm)],[12162])).
% 25.17/16.49 tff(12164,plain,
% 25.17/16.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB103) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1))),
% 25.17/16.49 inference(transitivity,[status(thm)],[12163, 12161])).
% 25.17/16.49 tff(12165,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB103) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1)))),
% 25.17/16.49 inference(quant_inst,[status(thm)],[])).
% 25.17/16.49 tff(12166,plain,
% 25.17/16.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB103, bitIndex1)) | v26(constB103) | v124(constB103, bitIndex1)),
% 25.17/16.49 inference(modus_ponens,[status(thm)],[12165, 12164])).
% 25.17/16.49 tff(12167,plain,
% 25.17/16.49 ((~v121(constB103, bitIndex1)) | v124(constB103, bitIndex1)),
% 25.17/16.49 inference(unit_resolution,[status(thm)],[12166, 476, 12055])).
% 25.17/16.50 tff(12168,plain,
% 25.17/16.50 (~v121(constB103, bitIndex1)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12167, 12160])).
% 25.17/16.50 tff(12169,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12170,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1)))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12171,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12170, 12169])).
% 25.17/16.50 tff(12172,plain,
% 25.17/16.50 (v121(constB103, bitIndex1) | (~v123(constB104, bitIndex1))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12171, 494, 12073])).
% 25.17/16.50 tff(12173,plain,
% 25.17/16.50 (~v123(constB104, bitIndex1)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12172, 12168])).
% 25.17/16.50 tff(12174,plain,
% 25.17/16.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12175,plain,
% 25.17/16.50 (((~v84(constB104, bitIndex1)) | (~v94(constB104)) | v123(constB104, bitIndex1)) <=> ((~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12176,plain,
% 25.17/16.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~v94(constB104)) | v123(constB104, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12175])).
% 25.17/16.50 tff(12177,plain,
% 25.17/16.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~v94(constB104)) | v123(constB104, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12176, 12174])).
% 25.17/16.50 tff(12178,plain,
% 25.17/16.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB104, bitIndex1)) | (~v94(constB104)) | v123(constB104, bitIndex1))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12179,plain,
% 25.17/16.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1) | (~v94(constB104))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 25.17/16.50 tff(12180,plain,
% 25.17/16.50 ((~v84(constB104, bitIndex1)) | (~v94(constB104))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12179, 509, 12173])).
% 25.17/16.50 tff(12181,plain,
% 25.17/16.50 (~v84(constB104, bitIndex1)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12180, 12107])).
% 25.17/16.50 tff(12182,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12183,plain,
% 25.17/16.50 (((~nextState(constB104, constB105)) | v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1))) <=> (v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12184,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12183])).
% 25.17/16.50 tff(12185,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12184, 12182])).
% 25.17/16.50 tff(12186,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1)))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12187,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB104, bitIndex1) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex1))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 25.17/16.50 tff(12188,plain,
% 25.17/16.50 (v84(constB104, bitIndex1) | v94(constB105) | (~v84(constB105, bitIndex1))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12187, 126, 12135])).
% 25.17/16.50 tff(12189,plain,
% 25.17/16.50 (v84(constB104, bitIndex1) | (~v84(constB105, bitIndex1))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12188, 12147])).
% 25.17/16.50 tff(12190,plain,
% 25.17/16.50 (~v84(constB105, bitIndex1)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12189, 12181])).
% 25.17/16.50 tff(12191,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB103)) | (~v124(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB103)) | (~v124(constB103, bitIndex0)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12192,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB103)) | (~v124(constB103, bitIndex0)))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12193,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB103)) | (~v124(constB103, bitIndex0))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12192, 12191])).
% 25.17/16.50 tff(12194,plain,
% 25.17/16.50 (~v124(constB103, bitIndex0)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12193, 1410, 12032])).
% 25.17/16.50 tff(12195,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12196,plain,
% 25.17/16.50 ((v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0))) <=> ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12197,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0)))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12196])).
% 25.17/16.50 tff(12198,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12197, 12195])).
% 25.17/16.50 tff(12199,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB103) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12200,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB103, bitIndex0)) | v26(constB103) | v124(constB103, bitIndex0)),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12199, 12198])).
% 25.17/16.50 tff(12201,plain,
% 25.17/16.50 ((~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12200, 890, 12055])).
% 25.17/16.50 tff(12202,plain,
% 25.17/16.50 (~v121(constB103, bitIndex0)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12201, 12194])).
% 25.17/16.50 tff(12203,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12204,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12205,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB103, constB104)) | v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12204, 12203])).
% 25.17/16.50 tff(12206,plain,
% 25.17/16.50 (v121(constB103, bitIndex0) | (~v123(constB104, bitIndex0))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12205, 908, 12073])).
% 25.17/16.50 tff(12207,plain,
% 25.17/16.50 (~v123(constB104, bitIndex0)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12206, 12202])).
% 25.17/16.50 tff(12208,plain,
% 25.17/16.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12209,plain,
% 25.17/16.50 (((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0)) <=> ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12210,plain,
% 25.17/16.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12209])).
% 25.17/16.50 tff(12211,plain,
% 25.17/16.50 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12210, 12208])).
% 25.17/16.50 tff(12212,plain,
% 25.17/16.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12213,plain,
% 25.17/16.50 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0) | (~v94(constB104))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12212, 12211])).
% 25.17/16.50 tff(12214,plain,
% 25.17/16.50 ((~v84(constB104, bitIndex0)) | (~v94(constB104))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12213, 923, 12207])).
% 25.17/16.50 tff(12215,plain,
% 25.17/16.50 (~v84(constB104, bitIndex0)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12214, 12107])).
% 25.17/16.50 tff(12216,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12217,plain,
% 25.17/16.50 (((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0))) <=> (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12218,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12217])).
% 25.17/16.50 tff(12219,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12218, 12216])).
% 25.17/16.50 tff(12220,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB104, constB105)) | v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0)))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12221,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB104, bitIndex0) | (~nextState(constB104, constB105)) | v94(constB105) | (~v84(constB105, bitIndex0))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12220, 12219])).
% 25.17/16.50 tff(12222,plain,
% 25.17/16.50 (v84(constB104, bitIndex0) | v94(constB105) | (~v84(constB105, bitIndex0))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12221, 147, 12135])).
% 25.17/16.50 tff(12223,plain,
% 25.17/16.50 (v84(constB104, bitIndex0) | (~v84(constB105, bitIndex0))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12222, 12147])).
% 25.17/16.50 tff(12224,plain,
% 25.17/16.50 (~v84(constB105, bitIndex0)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12223, 12215])).
% 25.17/16.50 tff(12225,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12226,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12227,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105)),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 25.17/16.50 tff(12228,plain,
% 25.17/16.50 (v172(constB105)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12227, 1454, 12224, 12190, 12156])).
% 25.17/16.50 tff(12229,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB105) | (~v172(constB105)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB105) | (~v172(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12230,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB105) | (~v172(constB105)))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12231,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB105) | (~v172(constB105))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 25.17/16.50 tff(12232,plain,
% 25.17/16.50 (v109(constB105)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12231, 1468, 12228])).
% 25.17/16.50 tff(12233,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v109(constB105)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v109(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12234,plain,
% 25.17/16.50 (((~v109(constB105)) | v108(constB105)) <=> (v108(constB105) | (~v109(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12235,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB105) | (~v109(constB105))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12234])).
% 25.17/16.50 tff(12236,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB105)) | v108(constB105))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v109(constB105)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12235, 12233])).
% 25.17/16.50 tff(12237,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB105)) | v108(constB105))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12238,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB105) | (~v109(constB105))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12237, 12236])).
% 25.17/16.50 tff(12239,plain,
% 25.17/16.50 (v108(constB105)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12238, 235, 12232])).
% 25.17/16.50 tff(12240,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB105) | (~v108(constB105)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB105) | (~v108(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12241,plain,
% 25.17/16.50 (((~v108(constB105)) | v107(constB105)) <=> (v107(constB105) | (~v108(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12242,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB105)) | v107(constB105))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB105) | (~v108(constB105))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12241])).
% 25.17/16.50 tff(12243,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB105)) | v107(constB105))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB105) | (~v108(constB105)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12242, 12240])).
% 25.17/16.50 tff(12244,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB105)) | v107(constB105))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12245,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB105) | (~v108(constB105))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12244, 12243])).
% 25.17/16.50 tff(12246,plain,
% 25.17/16.50 (v107(constB105)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12245, 249, 12239])).
% 25.17/16.50 tff(12247,assumption,(v26(constB105)), introduced(assumption)).
% 25.17/16.50 tff(12248,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB105))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12249,plain,
% 25.17/16.50 ($false),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12248, 18, 12247])).
% 25.17/16.50 tff(12250,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 25.17/16.50 tff(12251,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12252,plain,
% 25.17/16.50 ((v26(constB105) | (~v107(constB105)) | v106(constB105)) <=> (v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12253,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12252])).
% 25.17/16.50 tff(12254,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12253, 12251])).
% 25.17/16.50 tff(12255,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12256,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12255, 12254])).
% 25.17/16.50 tff(12257,plain,
% 25.17/16.50 (v106(constB105) | (~v107(constB105))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12256, 263, 12250])).
% 25.17/16.50 tff(12258,plain,
% 25.17/16.50 (v106(constB105)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12257, 12246])).
% 25.17/16.50 tff(12259,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB105) | (~v106(constB105)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB105) | (~v106(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12260,plain,
% 25.17/16.50 (((~v106(constB105)) | v102(constB105)) <=> (v102(constB105) | (~v106(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12261,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB105)) | v102(constB105))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB105) | (~v106(constB105))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12260])).
% 25.17/16.50 tff(12262,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB105)) | v102(constB105))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB105) | (~v106(constB105)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12261, 12259])).
% 25.17/16.50 tff(12263,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB105)) | v102(constB105))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12264,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB105) | (~v106(constB105))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12263, 12262])).
% 25.17/16.50 tff(12265,plain,
% 25.17/16.50 (v102(constB105)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12264, 275, 12258])).
% 25.17/16.50 tff(12266,plain,
% 25.17/16.50 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12267,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 25.17/16.50 tff(12268,plain,
% 25.17/16.50 (nextState(constB105, constB106)),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 25.17/16.50 tff(12269,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12270,plain,
% 25.17/16.50 (((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106)) <=> ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12271,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12270])).
% 25.17/16.50 tff(12272,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12271, 12269])).
% 25.17/16.50 tff(12273,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12274,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12273, 12272])).
% 25.17/16.50 tff(12275,plain,
% 25.17/16.50 (v104(constB106) | (~v102(constB105))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12274, 295, 12268])).
% 25.17/16.50 tff(12276,plain,
% 25.17/16.50 (v104(constB106)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12275, 12265])).
% 25.17/16.50 tff(12277,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12278,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12279,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12278, 12277])).
% 25.17/16.50 tff(12280,plain,
% 25.17/16.50 (~v98(constB106)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12279, 313, 12268, 12132])).
% 25.17/16.50 tff(12281,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12282,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12283,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106)),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12282, 12281])).
% 25.17/16.50 tff(12284,plain,
% 25.17/16.50 (v96(constB106) | v98(constB106)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12283, 327, 12268])).
% 25.17/16.50 tff(12285,plain,
% 25.17/16.50 (v96(constB106)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12284, 12280])).
% 25.17/16.50 tff(12286,plain,
% 25.17/16.50 (v1(constB106) <=> v1(constB106)),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12287,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 25.17/16.50 tff(12288,plain,
% 25.17/16.50 (v1(constB106)),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12287, 12286])).
% 25.17/16.50 tff(12289,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12290,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12291,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12290, 12289])).
% 25.17/16.50 tff(12292,plain,
% 25.17/16.50 (v95(constB106) | (~v96(constB106))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12291, 345, 12268, 12288])).
% 25.17/16.50 tff(12293,plain,
% 25.17/16.50 (v95(constB106)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12292, 12285])).
% 25.17/16.50 tff(12294,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12295,plain,
% 25.17/16.50 (((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106)) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12296,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12295])).
% 25.17/16.50 tff(12297,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12296, 12294])).
% 25.17/16.50 tff(12298,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12299,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | v94(constB106) | (~v95(constB106)) | (~v104(constB106))),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12298, 12297])).
% 25.17/16.50 tff(12300,plain,
% 25.17/16.50 (v94(constB106) | (~v95(constB106)) | (~v104(constB106))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12299, 360, 12268])).
% 25.17/16.50 tff(12301,plain,
% 25.17/16.50 (v94(constB106) | (~v104(constB106))),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12300, 12293])).
% 25.17/16.50 tff(12302,plain,
% 25.17/16.50 (v94(constB106)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12301, 12276])).
% 25.17/16.50 tff(12303,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB105)) | v124(constB105, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB105)) | v124(constB105, bitIndex2))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12304,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB105)) | v124(constB105, bitIndex2))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12305,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB105)) | v124(constB105, bitIndex2)),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12304, 12303])).
% 25.17/16.50 tff(12306,plain,
% 25.17/16.50 (v124(constB105, bitIndex2)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12305, 1539, 12228])).
% 25.17/16.50 tff(12307,plain,
% 25.17/16.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB105) | (~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB105) | (~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12308,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB105) | (~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12309,plain,
% 25.17/16.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB105) | (~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2)),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12308, 12307])).
% 25.17/16.50 tff(12310,plain,
% 25.17/16.50 ((~v124(constB105, bitIndex2)) | v121(constB105, bitIndex2)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12309, 1287, 12250])).
% 25.17/16.50 tff(12311,plain,
% 25.17/16.50 (v121(constB105, bitIndex2)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12310, 12306])).
% 25.17/16.50 tff(12312,plain,
% 25.17/16.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12313,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2))),
% 25.17/16.50 inference(quant_inst,[status(thm)],[])).
% 25.17/16.50 tff(12314,plain,
% 25.17/16.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2)),
% 25.17/16.50 inference(modus_ponens,[status(thm)],[12313, 12312])).
% 25.17/16.50 tff(12315,plain,
% 25.17/16.50 ((~v121(constB105, bitIndex2)) | v123(constB106, bitIndex2)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12314, 1302, 12268])).
% 25.17/16.50 tff(12316,plain,
% 25.17/16.50 (v123(constB106, bitIndex2)),
% 25.17/16.50 inference(unit_resolution,[status(thm)],[12315, 12311])).
% 25.17/16.50 tff(12317,plain,
% 25.17/16.50 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12318,plain,
% 25.17/16.50 ((v84(constB106, bitIndex2) | (~v94(constB106)) | (~v123(constB106, bitIndex2))) <=> (v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106)))),
% 25.17/16.50 inference(rewrite,[status(thm)],[])).
% 25.17/16.50 tff(12319,plain,
% 25.17/16.50 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v94(constB106)) | (~v123(constB106, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106))))),
% 25.17/16.50 inference(monotonicity,[status(thm)],[12318])).
% 25.17/16.50 tff(12320,plain,
% 25.17/16.50 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v94(constB106)) | (~v123(constB106, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106)))),
% 25.17/16.50 inference(transitivity,[status(thm)],[12319, 12317])).
% 25.17/16.50 tff(12321,plain,
% 25.17/16.50 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB106, bitIndex2) | (~v94(constB106)) | (~v123(constB106, bitIndex2)))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12322,plain,
% 25.17/16.51 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)) | (~v94(constB106))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 25.17/16.51 tff(12323,plain,
% 25.17/16.51 (v84(constB106, bitIndex2) | (~v94(constB106))),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12322, 1317, 12316])).
% 25.17/16.51 tff(12324,plain,
% 25.17/16.51 (v84(constB106, bitIndex2)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12323, 12302])).
% 25.17/16.51 tff(12325,plain,
% 25.17/16.51 ((~v1(constB107)) <=> (~v1(constB107))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12326,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 25.17/16.51 tff(12327,plain,
% 25.17/16.51 (~v1(constB107)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12326, 12325])).
% 25.17/16.51 tff(12328,plain,
% 25.17/16.51 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12329,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 25.17/16.51 tff(12330,plain,
% 25.17/16.51 (nextState(constB106, constB107)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12329, 12328])).
% 25.17/16.51 tff(12331,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12332,plain,
% 25.17/16.51 (((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12333,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12332])).
% 25.17/16.51 tff(12334,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12333, 12331])).
% 25.17/16.51 tff(12335,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12336,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12335, 12334])).
% 25.17/16.51 tff(12337,plain,
% 25.17/16.51 (~v95(constB107)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12336, 73, 12330, 12327])).
% 25.17/16.51 tff(12338,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12339,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12340,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12339, 12338])).
% 25.17/16.51 tff(12341,plain,
% 25.17/16.51 (v95(constB107) | (~v94(constB107))),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12340, 90, 12330])).
% 25.17/16.51 tff(12342,plain,
% 25.17/16.51 (~v94(constB107)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12341, 12337])).
% 25.17/16.51 tff(12343,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12344,plain,
% 25.17/16.51 (((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2)) <=> ((~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12345,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2)))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12344])).
% 25.17/16.51 tff(12346,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12345, 12343])).
% 25.17/16.51 tff(12347,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12348,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB106, bitIndex2)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex2)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12347, 12346])).
% 25.17/16.51 tff(12349,plain,
% 25.17/16.51 ((~v84(constB106, bitIndex2)) | v94(constB107) | v84(constB107, bitIndex2)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12348, 1353, 12330])).
% 25.17/16.51 tff(12350,plain,
% 25.17/16.51 ((~v84(constB106, bitIndex2)) | v84(constB107, bitIndex2)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12349, 12342])).
% 25.17/16.51 tff(12351,plain,
% 25.17/16.51 (v84(constB107, bitIndex2)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12350, 12324])).
% 25.17/16.51 tff(12352,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB105)) | (~v124(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB105)) | (~v124(constB105, bitIndex1)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12353,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB105)) | (~v124(constB105, bitIndex1)))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12354,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB105)) | (~v124(constB105, bitIndex1))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 25.17/16.51 tff(12355,plain,
% 25.17/16.51 (~v124(constB105, bitIndex1)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12354, 1595, 12228])).
% 25.17/16.51 tff(12356,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12357,plain,
% 25.17/16.51 ((v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1))) <=> ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12358,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1)))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12357])).
% 25.17/16.51 tff(12359,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12358, 12356])).
% 25.17/16.51 tff(12360,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB105) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12361,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB105, bitIndex1)) | v26(constB105) | v124(constB105, bitIndex1)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12360, 12359])).
% 25.17/16.51 tff(12362,plain,
% 25.17/16.51 ((~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12361, 476, 12250])).
% 25.17/16.51 tff(12363,plain,
% 25.17/16.51 (~v121(constB105, bitIndex1)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12362, 12355])).
% 25.17/16.51 tff(12364,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12365,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1)))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12366,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB105, constB106)) | v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12365, 12364])).
% 25.17/16.51 tff(12367,plain,
% 25.17/16.51 (v121(constB105, bitIndex1) | (~v123(constB106, bitIndex1))),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12366, 494, 12268])).
% 25.17/16.51 tff(12368,plain,
% 25.17/16.51 (~v123(constB106, bitIndex1)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12367, 12363])).
% 25.17/16.51 tff(12369,plain,
% 25.17/16.51 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12370,plain,
% 25.17/16.51 (((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1)) <=> ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12371,plain,
% 25.17/16.51 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106))))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12370])).
% 25.17/16.51 tff(12372,plain,
% 25.17/16.51 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106)))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12371, 12369])).
% 25.17/16.51 tff(12373,plain,
% 25.17/16.51 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12374,plain,
% 25.17/16.51 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1) | (~v94(constB106))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12373, 12372])).
% 25.17/16.51 tff(12375,plain,
% 25.17/16.51 ((~v84(constB106, bitIndex1)) | (~v94(constB106))),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12374, 509, 12368])).
% 25.17/16.51 tff(12376,plain,
% 25.17/16.51 (~v84(constB106, bitIndex1)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12375, 12302])).
% 25.17/16.51 tff(12377,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12378,plain,
% 25.17/16.51 (((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1))) <=> (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12379,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1))))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12378])).
% 25.17/16.51 tff(12380,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12379, 12377])).
% 25.17/16.51 tff(12381,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB106, constB107)) | v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1)))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12382,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB106, bitIndex1) | (~nextState(constB106, constB107)) | v94(constB107) | (~v84(constB107, bitIndex1))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 25.17/16.51 tff(12383,plain,
% 25.17/16.51 (v84(constB106, bitIndex1) | v94(constB107) | (~v84(constB107, bitIndex1))),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12382, 126, 12330])).
% 25.17/16.51 tff(12384,plain,
% 25.17/16.51 (v84(constB106, bitIndex1) | (~v84(constB107, bitIndex1))),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12383, 12342])).
% 25.17/16.51 tff(12385,plain,
% 25.17/16.51 (~v84(constB107, bitIndex1)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12384, 12376])).
% 25.17/16.51 tff(12386,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB105)) | v124(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB105)) | v124(constB105, bitIndex0))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12387,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB105)) | v124(constB105, bitIndex0))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12388,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB105)) | v124(constB105, bitIndex0)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12387, 12386])).
% 25.17/16.51 tff(12389,plain,
% 25.17/16.51 (v124(constB105, bitIndex0)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12388, 1636, 12228])).
% 25.17/16.51 tff(12390,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12391,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12392,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB105) | (~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12391, 12390])).
% 25.17/16.51 tff(12393,plain,
% 25.17/16.51 ((~v124(constB105, bitIndex0)) | v121(constB105, bitIndex0)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12392, 547, 12250])).
% 25.17/16.51 tff(12394,plain,
% 25.17/16.51 (v121(constB105, bitIndex0)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12393, 12389])).
% 25.17/16.51 tff(12395,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12396,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12397,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB105, constB106)) | (~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12396, 12395])).
% 25.17/16.51 tff(12398,plain,
% 25.17/16.51 ((~v121(constB105, bitIndex0)) | v123(constB106, bitIndex0)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12397, 562, 12268])).
% 25.17/16.51 tff(12399,plain,
% 25.17/16.51 (v123(constB106, bitIndex0)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12398, 12394])).
% 25.17/16.51 tff(12400,plain,
% 25.17/16.51 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12401,plain,
% 25.17/16.51 ((v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0))) <=> (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12402,plain,
% 25.17/16.51 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106))))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12401])).
% 25.17/16.51 tff(12403,plain,
% 25.17/16.51 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106)))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12402, 12400])).
% 25.17/16.51 tff(12404,plain,
% 25.17/16.51 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB106, bitIndex0) | (~v94(constB106)) | (~v123(constB106, bitIndex0)))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12405,plain,
% 25.17/16.51 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)) | (~v94(constB106))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12404, 12403])).
% 25.17/16.51 tff(12406,plain,
% 25.17/16.51 (v84(constB106, bitIndex0) | (~v94(constB106))),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12405, 577, 12399])).
% 25.17/16.51 tff(12407,plain,
% 25.17/16.51 (v84(constB106, bitIndex0)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12406, 12302])).
% 25.17/16.51 tff(12408,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12409,plain,
% 25.17/16.51 (((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0)) <=> ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12410,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0)))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12409])).
% 25.17/16.51 tff(12411,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12410, 12408])).
% 25.17/16.51 tff(12412,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB106, constB107)) | (~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12413,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB106, bitIndex0)) | (~nextState(constB106, constB107)) | v94(constB107) | v84(constB107, bitIndex0)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12412, 12411])).
% 25.17/16.51 tff(12414,plain,
% 25.17/16.51 ((~v84(constB106, bitIndex0)) | v94(constB107) | v84(constB107, bitIndex0)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12413, 595, 12330])).
% 25.17/16.51 tff(12415,plain,
% 25.17/16.51 ((~v84(constB106, bitIndex0)) | v84(constB107, bitIndex0)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12414, 12342])).
% 25.17/16.51 tff(12416,plain,
% 25.17/16.51 (v84(constB107, bitIndex0)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12415, 12407])).
% 25.17/16.51 tff(12417,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12418,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12419,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12418, 12417])).
% 25.17/16.51 tff(12420,plain,
% 25.17/16.51 (v118(constB107)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12419, 1677, 12416, 12385, 12351])).
% 25.17/16.51 tff(12421,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v118(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12422,plain,
% 25.17/16.51 (((~v118(constB107)) | v108(constB107)) <=> (v108(constB107) | (~v118(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12423,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB107) | (~v118(constB107))))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12422])).
% 25.17/16.51 tff(12424,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB107)) | v108(constB107))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v118(constB107)))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12423, 12421])).
% 25.17/16.51 tff(12425,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB107)) | v108(constB107))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12426,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB107) | (~v118(constB107))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12425, 12424])).
% 25.17/16.51 tff(12427,plain,
% 25.17/16.51 (v108(constB107)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12426, 1688, 12420])).
% 25.17/16.51 tff(12428,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB107) | (~v108(constB107)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB107) | (~v108(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12429,plain,
% 25.17/16.51 (((~v108(constB107)) | v107(constB107)) <=> (v107(constB107) | (~v108(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12430,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB107)) | v107(constB107))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB107) | (~v108(constB107))))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12429])).
% 25.17/16.51 tff(12431,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB107)) | v107(constB107))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB107) | (~v108(constB107)))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12430, 12428])).
% 25.17/16.51 tff(12432,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB107)) | v107(constB107))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12433,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB107) | (~v108(constB107))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12432, 12431])).
% 25.17/16.51 tff(12434,plain,
% 25.17/16.51 (v107(constB107)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12433, 249, 12427])).
% 25.17/16.51 tff(12435,assumption,(v26(constB107)), introduced(assumption)).
% 25.17/16.51 tff(12436,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB107))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12437,plain,
% 25.17/16.51 ($false),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12436, 18, 12435])).
% 25.17/16.51 tff(12438,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 25.17/16.51 tff(12439,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | (~v107(constB107)) | v106(constB107))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12440,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12441,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | (~v107(constB107)) | v106(constB107)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12440, 12439])).
% 25.17/16.51 tff(12442,plain,
% 25.17/16.51 ((~v107(constB107)) | v106(constB107)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12441, 263, 12438])).
% 25.17/16.51 tff(12443,plain,
% 25.17/16.51 (v106(constB107)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12442, 12434])).
% 25.17/16.51 tff(12444,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB107) | (~v106(constB107)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB107) | (~v106(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12445,plain,
% 25.17/16.51 (((~v106(constB107)) | v102(constB107)) <=> (v102(constB107) | (~v106(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12446,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB107)) | v102(constB107))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB107) | (~v106(constB107))))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12445])).
% 25.17/16.51 tff(12447,plain,
% 25.17/16.51 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB107)) | v102(constB107))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB107) | (~v106(constB107)))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12446, 12444])).
% 25.17/16.51 tff(12448,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB107)) | v102(constB107))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12449,plain,
% 25.17/16.51 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB107) | (~v106(constB107))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12448, 12447])).
% 25.17/16.51 tff(12450,plain,
% 25.17/16.51 (v102(constB107)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12449, 275, 12443])).
% 25.17/16.51 tff(12451,plain,
% 25.17/16.51 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12452,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 25.17/16.51 tff(12453,plain,
% 25.17/16.51 (nextState(constB107, constB108)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12452, 12451])).
% 25.17/16.51 tff(12454,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12455,plain,
% 25.17/16.51 (((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108)) <=> ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12456,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))))),
% 25.17/16.51 inference(monotonicity,[status(thm)],[12455])).
% 25.17/16.51 tff(12457,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 25.17/16.51 inference(transitivity,[status(thm)],[12456, 12454])).
% 25.17/16.51 tff(12458,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12459,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 25.17/16.51 tff(12460,plain,
% 25.17/16.51 (v104(constB108) | (~v102(constB107))),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12459, 295, 12453])).
% 25.17/16.51 tff(12461,plain,
% 25.17/16.51 (v104(constB108)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12460, 12450])).
% 25.17/16.51 tff(12462,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12463,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12464,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12463, 12462])).
% 25.17/16.51 tff(12465,plain,
% 25.17/16.51 (~v98(constB108)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12464, 313, 12453, 12327])).
% 25.17/16.51 tff(12466,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12467,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12468,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12467, 12466])).
% 25.17/16.51 tff(12469,plain,
% 25.17/16.51 (v96(constB108) | v98(constB108)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12468, 327, 12453])).
% 25.17/16.51 tff(12470,plain,
% 25.17/16.51 (v96(constB108)),
% 25.17/16.51 inference(unit_resolution,[status(thm)],[12469, 12465])).
% 25.17/16.51 tff(12471,plain,
% 25.17/16.51 (v1(constB108) <=> v1(constB108)),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12472,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 25.17/16.51 tff(12473,plain,
% 25.17/16.51 (v1(constB108)),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12472, 12471])).
% 25.17/16.51 tff(12474,plain,
% 25.17/16.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 25.17/16.51 inference(rewrite,[status(thm)],[])).
% 25.17/16.51 tff(12475,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 25.17/16.51 inference(quant_inst,[status(thm)],[])).
% 25.17/16.51 tff(12476,plain,
% 25.17/16.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108))),
% 25.17/16.51 inference(modus_ponens,[status(thm)],[12475, 12474])).
% 25.17/16.52 tff(12477,plain,
% 25.17/16.52 (v95(constB108) | (~v96(constB108))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12476, 345, 12453, 12473])).
% 25.17/16.52 tff(12478,plain,
% 25.17/16.52 (v95(constB108)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12477, 12470])).
% 25.17/16.52 tff(12479,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12480,plain,
% 25.17/16.52 (((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108)) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12481,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108))))),
% 25.17/16.52 inference(monotonicity,[status(thm)],[12480])).
% 25.17/16.52 tff(12482,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108)))),
% 25.17/16.52 inference(transitivity,[status(thm)],[12481, 12479])).
% 25.17/16.52 tff(12483,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12484,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | v94(constB108) | (~v95(constB108)) | (~v104(constB108))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12483, 12482])).
% 25.17/16.52 tff(12485,plain,
% 25.17/16.52 (v94(constB108) | (~v95(constB108)) | (~v104(constB108))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12484, 360, 12453])).
% 25.17/16.52 tff(12486,plain,
% 25.17/16.52 (v94(constB108) | (~v104(constB108))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12485, 12478])).
% 25.17/16.52 tff(12487,plain,
% 25.17/16.52 (v94(constB108)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12486, 12461])).
% 25.17/16.52 tff(12488,plain,
% 25.17/16.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB107)) | v124(constB107, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB107)) | v124(constB107, bitIndex2))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12489,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB107)) | v124(constB107, bitIndex2))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12490,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB107)) | v124(constB107, bitIndex2)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12489, 12488])).
% 25.17/16.52 tff(12491,plain,
% 25.17/16.52 (v124(constB107, bitIndex2)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12490, 1761, 12420])).
% 25.17/16.52 tff(12492,plain,
% 25.17/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB107) | (~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB107) | (~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12493,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB107) | (~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12494,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB107) | (~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12493, 12492])).
% 25.17/16.52 tff(12495,plain,
% 25.17/16.52 ((~v124(constB107, bitIndex2)) | v121(constB107, bitIndex2)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12494, 1287, 12438])).
% 25.17/16.52 tff(12496,plain,
% 25.17/16.52 (v121(constB107, bitIndex2)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12495, 12491])).
% 25.17/16.52 tff(12497,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12498,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12499,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 25.17/16.52 tff(12500,plain,
% 25.17/16.52 ((~v121(constB107, bitIndex2)) | v123(constB108, bitIndex2)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12499, 1302, 12453])).
% 25.17/16.52 tff(12501,plain,
% 25.17/16.52 (v123(constB108, bitIndex2)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12500, 12496])).
% 25.17/16.52 tff(12502,plain,
% 25.17/16.52 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12503,plain,
% 25.17/16.52 ((v84(constB108, bitIndex2) | (~v94(constB108)) | (~v123(constB108, bitIndex2))) <=> (v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12504,plain,
% 25.17/16.52 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v94(constB108)) | (~v123(constB108, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108))))),
% 25.17/16.52 inference(monotonicity,[status(thm)],[12503])).
% 25.17/16.52 tff(12505,plain,
% 25.17/16.52 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v94(constB108)) | (~v123(constB108, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108)))),
% 25.17/16.52 inference(transitivity,[status(thm)],[12504, 12502])).
% 25.17/16.52 tff(12506,plain,
% 25.17/16.52 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB108, bitIndex2) | (~v94(constB108)) | (~v123(constB108, bitIndex2)))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12507,plain,
% 25.17/16.52 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)) | (~v94(constB108))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12506, 12505])).
% 25.17/16.52 tff(12508,plain,
% 25.17/16.52 (v84(constB108, bitIndex2) | (~v94(constB108))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12507, 1317, 12501])).
% 25.17/16.52 tff(12509,plain,
% 25.17/16.52 (v84(constB108, bitIndex2)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12508, 12487])).
% 25.17/16.52 tff(12510,plain,
% 25.17/16.52 ((~v1(constB109)) <=> (~v1(constB109))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12511,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 25.17/16.52 tff(12512,plain,
% 25.17/16.52 (~v1(constB109)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12511, 12510])).
% 25.17/16.52 tff(12513,plain,
% 25.17/16.52 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12514,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 25.17/16.52 tff(12515,plain,
% 25.17/16.52 (nextState(constB108, constB109)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12514, 12513])).
% 25.17/16.52 tff(12516,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12517,plain,
% 25.17/16.52 (((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12518,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))))),
% 25.17/16.52 inference(monotonicity,[status(thm)],[12517])).
% 25.17/16.52 tff(12519,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 25.17/16.52 inference(transitivity,[status(thm)],[12518, 12516])).
% 25.17/16.52 tff(12520,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12521,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12520, 12519])).
% 25.17/16.52 tff(12522,plain,
% 25.17/16.52 (~v95(constB109)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12521, 73, 12515, 12512])).
% 25.17/16.52 tff(12523,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12524,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12525,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12524, 12523])).
% 25.17/16.52 tff(12526,plain,
% 25.17/16.52 (v95(constB109) | (~v94(constB109))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12525, 90, 12515])).
% 25.17/16.52 tff(12527,plain,
% 25.17/16.52 (~v94(constB109)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12526, 12522])).
% 25.17/16.52 tff(12528,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12529,plain,
% 25.17/16.52 (((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2)) <=> ((~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12530,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2)))),
% 25.17/16.52 inference(monotonicity,[status(thm)],[12529])).
% 25.17/16.52 tff(12531,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2))),
% 25.17/16.52 inference(transitivity,[status(thm)],[12530, 12528])).
% 25.17/16.52 tff(12532,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12533,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB108, bitIndex2)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex2)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12532, 12531])).
% 25.17/16.52 tff(12534,plain,
% 25.17/16.52 ((~v84(constB108, bitIndex2)) | v94(constB109) | v84(constB109, bitIndex2)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12533, 1353, 12515])).
% 25.17/16.52 tff(12535,plain,
% 25.17/16.52 ((~v84(constB108, bitIndex2)) | v84(constB109, bitIndex2)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12534, 12527])).
% 25.17/16.52 tff(12536,plain,
% 25.17/16.52 (v84(constB109, bitIndex2)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12535, 12509])).
% 25.17/16.52 tff(12537,plain,
% 25.17/16.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB107)) | v124(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB107)) | v124(constB107, bitIndex1))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12538,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB107)) | v124(constB107, bitIndex1))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12539,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB107)) | v124(constB107, bitIndex1)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 25.17/16.52 tff(12540,plain,
% 25.17/16.52 (v124(constB107, bitIndex1)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12539, 1817, 12420])).
% 25.17/16.52 tff(12541,plain,
% 25.17/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12542,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12543,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB107) | (~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12542, 12541])).
% 25.17/16.52 tff(12544,plain,
% 25.17/16.52 ((~v124(constB107, bitIndex1)) | v121(constB107, bitIndex1)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12543, 812, 12438])).
% 25.17/16.52 tff(12545,plain,
% 25.17/16.52 (v121(constB107, bitIndex1)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12544, 12540])).
% 25.17/16.52 tff(12546,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12547,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12548,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB107, constB108)) | (~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12547, 12546])).
% 25.17/16.52 tff(12549,plain,
% 25.17/16.52 ((~v121(constB107, bitIndex1)) | v123(constB108, bitIndex1)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12548, 827, 12453])).
% 25.17/16.52 tff(12550,plain,
% 25.17/16.52 (v123(constB108, bitIndex1)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12549, 12545])).
% 25.17/16.52 tff(12551,plain,
% 25.17/16.52 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12552,plain,
% 25.17/16.52 ((v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1))) <=> (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12553,plain,
% 25.17/16.52 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108))))),
% 25.17/16.52 inference(monotonicity,[status(thm)],[12552])).
% 25.17/16.52 tff(12554,plain,
% 25.17/16.52 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108)))),
% 25.17/16.52 inference(transitivity,[status(thm)],[12553, 12551])).
% 25.17/16.52 tff(12555,plain,
% 25.17/16.52 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1)))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12556,plain,
% 25.17/16.52 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)) | (~v94(constB108))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12555, 12554])).
% 25.17/16.52 tff(12557,plain,
% 25.17/16.52 (v84(constB108, bitIndex1) | (~v94(constB108))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12556, 842, 12550])).
% 25.17/16.52 tff(12558,plain,
% 25.17/16.52 (v84(constB108, bitIndex1)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12557, 12487])).
% 25.17/16.52 tff(12559,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12560,plain,
% 25.17/16.52 (((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1)) <=> ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12561,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1)))),
% 25.17/16.52 inference(monotonicity,[status(thm)],[12560])).
% 25.17/16.52 tff(12562,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1))),
% 25.17/16.52 inference(transitivity,[status(thm)],[12561, 12559])).
% 25.17/16.52 tff(12563,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB108, constB109)) | (~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12564,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB108, bitIndex1)) | (~nextState(constB108, constB109)) | v94(constB109) | v84(constB109, bitIndex1)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12563, 12562])).
% 25.17/16.52 tff(12565,plain,
% 25.17/16.52 ((~v84(constB108, bitIndex1)) | v94(constB109) | v84(constB109, bitIndex1)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12564, 860, 12515])).
% 25.17/16.52 tff(12566,plain,
% 25.17/16.52 ((~v84(constB108, bitIndex1)) | v84(constB109, bitIndex1)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12565, 12527])).
% 25.17/16.52 tff(12567,plain,
% 25.17/16.52 (v84(constB109, bitIndex1)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12566, 12558])).
% 25.17/16.52 tff(12568,plain,
% 25.17/16.52 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB107)) | (~v124(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB107)) | (~v124(constB107, bitIndex0)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12569,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB107)) | (~v124(constB107, bitIndex0)))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12570,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB107)) | (~v124(constB107, bitIndex0))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12569, 12568])).
% 25.17/16.52 tff(12571,plain,
% 25.17/16.52 (~v124(constB107, bitIndex0)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12570, 1855, 12420])).
% 25.17/16.52 tff(12572,assumption,(v121(constB107, bitIndex0)), introduced(assumption)).
% 25.17/16.52 tff(12573,assumption,(~v124(constB107, bitIndex0)), introduced(assumption)).
% 25.17/16.52 tff(12574,plain,
% 25.17/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12575,plain,
% 25.17/16.52 ((v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0))) <=> ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12576,plain,
% 25.17/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0)))),
% 25.17/16.52 inference(monotonicity,[status(thm)],[12575])).
% 25.17/16.52 tff(12577,plain,
% 25.17/16.52 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0))),
% 25.17/16.52 inference(transitivity,[status(thm)],[12576, 12574])).
% 25.17/16.52 tff(12578,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB107) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12579,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB107, bitIndex0)) | v26(constB107) | v124(constB107, bitIndex0)),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12578, 12577])).
% 25.17/16.52 tff(12580,plain,
% 25.17/16.52 ((~v121(constB107, bitIndex0)) | v26(constB107)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12579, 890, 12573])).
% 25.17/16.52 tff(12581,plain,
% 25.17/16.52 (v26(constB107)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12580, 12572])).
% 25.17/16.52 tff(12582,plain,
% 25.17/16.52 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB107)) | (~v121(constB107, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB107)) | (~v121(constB107, bitIndex0)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12583,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB107)) | (~v121(constB107, bitIndex0)))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12584,plain,
% 25.17/16.52 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB107)) | (~v121(constB107, bitIndex0))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12583, 12582])).
% 25.17/16.52 tff(12585,plain,
% 25.17/16.52 ($false),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12584, 2385, 12572, 12581])).
% 25.17/16.52 tff(12586,plain,((~v121(constB107, bitIndex0)) | v124(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.17/16.52 tff(12587,plain,
% 25.17/16.52 (~v121(constB107, bitIndex0)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12586, 12571])).
% 25.17/16.52 tff(12588,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12589,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0)))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12590,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB107, constB108)) | v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12589, 12588])).
% 25.17/16.52 tff(12591,plain,
% 25.17/16.52 (v121(constB107, bitIndex0) | (~v123(constB108, bitIndex0))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12590, 908, 12453])).
% 25.17/16.52 tff(12592,plain,
% 25.17/16.52 (~v123(constB108, bitIndex0)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12591, 12587])).
% 25.17/16.52 tff(12593,plain,
% 25.17/16.52 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12594,plain,
% 25.17/16.52 (((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0)) <=> ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12595,plain,
% 25.17/16.52 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108))))),
% 25.17/16.52 inference(monotonicity,[status(thm)],[12594])).
% 25.17/16.52 tff(12596,plain,
% 25.17/16.52 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108)))),
% 25.17/16.52 inference(transitivity,[status(thm)],[12595, 12593])).
% 25.17/16.52 tff(12597,plain,
% 25.17/16.52 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB108, bitIndex0)) | (~v94(constB108)) | v123(constB108, bitIndex0))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12598,plain,
% 25.17/16.52 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0) | (~v94(constB108))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 25.17/16.52 tff(12599,plain,
% 25.17/16.52 ((~v84(constB108, bitIndex0)) | (~v94(constB108))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12598, 923, 12592])).
% 25.17/16.52 tff(12600,plain,
% 25.17/16.52 (~v84(constB108, bitIndex0)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12599, 12487])).
% 25.17/16.52 tff(12601,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12602,plain,
% 25.17/16.52 (((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0))) <=> (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 25.17/16.52 inference(rewrite,[status(thm)],[])).
% 25.17/16.52 tff(12603,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0))))),
% 25.17/16.52 inference(monotonicity,[status(thm)],[12602])).
% 25.17/16.52 tff(12604,plain,
% 25.17/16.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 25.17/16.52 inference(transitivity,[status(thm)],[12603, 12601])).
% 25.17/16.52 tff(12605,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB108, constB109)) | v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0)))),
% 25.17/16.52 inference(quant_inst,[status(thm)],[])).
% 25.17/16.52 tff(12606,plain,
% 25.17/16.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB108, bitIndex0) | (~nextState(constB108, constB109)) | v94(constB109) | (~v84(constB109, bitIndex0))),
% 25.17/16.52 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 25.17/16.52 tff(12607,plain,
% 25.17/16.52 (v84(constB108, bitIndex0) | v94(constB109) | (~v84(constB109, bitIndex0))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12606, 147, 12515])).
% 25.17/16.52 tff(12608,plain,
% 25.17/16.52 (v84(constB108, bitIndex0) | (~v84(constB109, bitIndex0))),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12607, 12527])).
% 25.17/16.52 tff(12609,plain,
% 25.17/16.52 (~v84(constB109, bitIndex0)),
% 25.17/16.52 inference(unit_resolution,[status(thm)],[12608, 12600])).
% 25.17/16.53 tff(12610,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12611,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12612,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12611, 12610])).
% 25.17/16.53 tff(12613,plain,
% 25.17/16.53 (v119(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12612, 1899, 12609, 12567, 12536])).
% 25.17/16.53 tff(12614,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB109)) | v107(constB109))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB109)) | v107(constB109))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12615,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB109)) | v107(constB109))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12616,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB109)) | v107(constB109)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 25.17/16.53 tff(12617,plain,
% 25.17/16.53 (v107(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12616, 1910, 12613])).
% 25.17/16.53 tff(12618,assumption,(v26(constB109)), introduced(assumption)).
% 25.17/16.53 tff(12619,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB109))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12620,plain,
% 25.17/16.53 ($false),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12619, 18, 12618])).
% 25.17/16.53 tff(12621,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 25.17/16.53 tff(12622,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | (~v107(constB109)) | v106(constB109))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12623,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12624,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | (~v107(constB109)) | v106(constB109)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12623, 12622])).
% 25.17/16.53 tff(12625,plain,
% 25.17/16.53 ((~v107(constB109)) | v106(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12624, 263, 12621])).
% 25.17/16.53 tff(12626,plain,
% 25.17/16.53 (v106(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12625, 12617])).
% 25.17/16.53 tff(12627,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB109) | (~v106(constB109)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB109) | (~v106(constB109)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12628,plain,
% 25.17/16.53 (((~v106(constB109)) | v102(constB109)) <=> (v102(constB109) | (~v106(constB109)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12629,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB109)) | v102(constB109))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB109) | (~v106(constB109))))),
% 25.17/16.53 inference(monotonicity,[status(thm)],[12628])).
% 25.17/16.53 tff(12630,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB109)) | v102(constB109))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB109) | (~v106(constB109)))),
% 25.17/16.53 inference(transitivity,[status(thm)],[12629, 12627])).
% 25.17/16.53 tff(12631,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB109)) | v102(constB109))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12632,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB109) | (~v106(constB109))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 25.17/16.53 tff(12633,plain,
% 25.17/16.53 (v102(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12632, 275, 12626])).
% 25.17/16.53 tff(12634,plain,
% 25.17/16.53 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12635,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 25.17/16.53 tff(12636,plain,
% 25.17/16.53 (nextState(constB109, constB110)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12635, 12634])).
% 25.17/16.53 tff(12637,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12638,plain,
% 25.17/16.53 (((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110)) <=> ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12639,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))))),
% 25.17/16.53 inference(monotonicity,[status(thm)],[12638])).
% 25.17/16.53 tff(12640,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 25.17/16.53 inference(transitivity,[status(thm)],[12639, 12637])).
% 25.17/16.53 tff(12641,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12642,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12641, 12640])).
% 25.17/16.53 tff(12643,plain,
% 25.17/16.53 (v104(constB110) | (~v102(constB109))),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12642, 295, 12636])).
% 25.17/16.53 tff(12644,plain,
% 25.17/16.53 (v104(constB110)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12643, 12633])).
% 25.17/16.53 tff(12645,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12646,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12647,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12646, 12645])).
% 25.17/16.53 tff(12648,plain,
% 25.17/16.53 (~v98(constB110)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12647, 313, 12636, 12512])).
% 25.17/16.53 tff(12649,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12650,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12651,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12650, 12649])).
% 25.17/16.53 tff(12652,plain,
% 25.17/16.53 (v96(constB110) | v98(constB110)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12651, 327, 12636])).
% 25.17/16.53 tff(12653,plain,
% 25.17/16.53 (v96(constB110)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12652, 12648])).
% 25.17/16.53 tff(12654,plain,
% 25.17/16.53 (v1(constB110) <=> v1(constB110)),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12655,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 25.17/16.53 tff(12656,plain,
% 25.17/16.53 (v1(constB110)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12655, 12654])).
% 25.17/16.53 tff(12657,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12658,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12659,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12658, 12657])).
% 25.17/16.53 tff(12660,plain,
% 25.17/16.53 (v95(constB110) | (~v96(constB110))),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12659, 345, 12636, 12656])).
% 25.17/16.53 tff(12661,plain,
% 25.17/16.53 (v95(constB110)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12660, 12653])).
% 25.17/16.53 tff(12662,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12663,plain,
% 25.17/16.53 (((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110)) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12664,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110))))),
% 25.17/16.53 inference(monotonicity,[status(thm)],[12663])).
% 25.17/16.53 tff(12665,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110)))),
% 25.17/16.53 inference(transitivity,[status(thm)],[12664, 12662])).
% 25.17/16.53 tff(12666,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12667,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | v94(constB110) | (~v95(constB110)) | (~v104(constB110))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12666, 12665])).
% 25.17/16.53 tff(12668,plain,
% 25.17/16.53 (v94(constB110) | (~v95(constB110)) | (~v104(constB110))),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12667, 360, 12636])).
% 25.17/16.53 tff(12669,plain,
% 25.17/16.53 (v94(constB110) | (~v104(constB110))),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12668, 12661])).
% 25.17/16.53 tff(12670,plain,
% 25.17/16.53 (v94(constB110)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12669, 12644])).
% 25.17/16.53 tff(12671,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB109)) | (~v84(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB109)) | (~v84(constB109, bitIndex2)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12672,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB109)) | (~v84(constB109, bitIndex2)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12673,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB109)) | (~v84(constB109, bitIndex2))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12672, 12671])).
% 25.17/16.53 tff(12674,plain,
% 25.17/16.53 (~v115(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12673, 1974, 12536])).
% 25.17/16.53 tff(12675,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB109)) | (~v84(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB109)) | (~v84(constB109, bitIndex2)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12676,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB109)) | (~v84(constB109, bitIndex2)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12677,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB109)) | (~v84(constB109, bitIndex2))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12676, 12675])).
% 25.17/16.53 tff(12678,plain,
% 25.17/16.53 (~v116(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12677, 1985, 12536])).
% 25.17/16.53 tff(12679,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB109)) | (~v84(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB109)) | (~v84(constB109, bitIndex1)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12680,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB109)) | (~v84(constB109, bitIndex1)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12681,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB109)) | (~v84(constB109, bitIndex1))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12680, 12679])).
% 25.17/16.53 tff(12682,plain,
% 25.17/16.53 (~v113(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12681, 1996, 12567])).
% 25.17/16.53 tff(12683,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB109)) | (~v84(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB109)) | (~v84(constB109, bitIndex1)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12684,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB109)) | (~v84(constB109, bitIndex1)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12685,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB109)) | (~v84(constB109, bitIndex1))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12684, 12683])).
% 25.17/16.53 tff(12686,plain,
% 25.17/16.53 (~v172(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12685, 2029, 12567])).
% 25.17/16.53 tff(12687,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB109)) | (~v84(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB109)) | (~v84(constB109, bitIndex1)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12688,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB109)) | (~v84(constB109, bitIndex1)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12689,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB109)) | (~v84(constB109, bitIndex1))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12688, 12687])).
% 25.17/16.53 tff(12690,plain,
% 25.17/16.53 (~v145(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12689, 2018, 12567])).
% 25.17/16.53 tff(12691,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB109)) | (~v84(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB109)) | (~v84(constB109, bitIndex1)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12692,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB109)) | (~v84(constB109, bitIndex1)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12693,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB109)) | (~v84(constB109, bitIndex1))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12692, 12691])).
% 25.17/16.53 tff(12694,plain,
% 25.17/16.53 (~v118(constB109)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12693, 2007, 12567])).
% 25.17/16.53 tff(12695,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12696,plain,
% 25.17/16.53 ((v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex2))) <=> (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12697,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2))))),
% 25.17/16.53 inference(monotonicity,[status(thm)],[12696])).
% 25.17/16.53 tff(12698,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2)))),
% 25.17/16.53 inference(transitivity,[status(thm)],[12697, 12695])).
% 25.17/16.53 tff(12699,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex2)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12700,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex2))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12699, 12698])).
% 25.17/16.53 tff(12701,plain,
% 25.17/16.53 (~v124(constB109, bitIndex2)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12700, 2043, 12694, 12690, 12686, 12682, 12678, 12674])).
% 25.17/16.53 tff(12702,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12703,plain,
% 25.17/16.53 ((v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2))) <=> ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12704,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2)))),
% 25.17/16.53 inference(monotonicity,[status(thm)],[12703])).
% 25.17/16.53 tff(12705,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2))),
% 25.17/16.53 inference(transitivity,[status(thm)],[12704, 12702])).
% 25.17/16.53 tff(12706,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB109) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12707,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB109, bitIndex2)) | v26(constB109) | v124(constB109, bitIndex2)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12706, 12705])).
% 25.17/16.53 tff(12708,plain,
% 25.17/16.53 ((~v121(constB109, bitIndex2)) | v124(constB109, bitIndex2)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12707, 390, 12621])).
% 25.17/16.53 tff(12709,plain,
% 25.17/16.53 (~v121(constB109, bitIndex2)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12708, 12701])).
% 25.17/16.53 tff(12710,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12711,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12712,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12711, 12710])).
% 25.17/16.53 tff(12713,plain,
% 25.17/16.53 (v121(constB109, bitIndex2) | (~v123(constB110, bitIndex2))),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12712, 408, 12636])).
% 25.17/16.53 tff(12714,plain,
% 25.17/16.53 (~v123(constB110, bitIndex2)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12713, 12709])).
% 25.17/16.53 tff(12715,plain,
% 25.17/16.53 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12716,plain,
% 25.17/16.53 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12717,plain,
% 25.17/16.53 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2) | (~v94(constB110))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12716, 12715])).
% 25.17/16.53 tff(12718,plain,
% 25.17/16.53 ((~v84(constB110, bitIndex2)) | (~v94(constB110))),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12717, 423, 12714])).
% 25.17/16.53 tff(12719,plain,
% 25.17/16.53 (~v84(constB110, bitIndex2)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12718, 12670])).
% 25.17/16.53 tff(12720,plain,
% 25.17/16.53 ((~v1(constB111)) <=> (~v1(constB111))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12721,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 25.17/16.53 tff(12722,plain,
% 25.17/16.53 (~v1(constB111)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12721, 12720])).
% 25.17/16.53 tff(12723,plain,
% 25.17/16.53 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12724,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 25.17/16.53 tff(12725,plain,
% 25.17/16.53 (nextState(constB110, constB111)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 25.17/16.53 tff(12726,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12727,plain,
% 25.17/16.53 (((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12728,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))))),
% 25.17/16.53 inference(monotonicity,[status(thm)],[12727])).
% 25.17/16.53 tff(12729,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 25.17/16.53 inference(transitivity,[status(thm)],[12728, 12726])).
% 25.17/16.53 tff(12730,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12731,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12730, 12729])).
% 25.17/16.53 tff(12732,plain,
% 25.17/16.53 (~v95(constB111)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12731, 73, 12725, 12722])).
% 25.17/16.53 tff(12733,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12734,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12735,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12734, 12733])).
% 25.17/16.53 tff(12736,plain,
% 25.17/16.53 (v95(constB111) | (~v94(constB111))),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12735, 90, 12725])).
% 25.17/16.53 tff(12737,plain,
% 25.17/16.53 (~v94(constB111)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12736, 12732])).
% 25.17/16.53 tff(12738,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12739,plain,
% 25.17/16.53 (((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2))) <=> (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12740,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2))))),
% 25.17/16.53 inference(monotonicity,[status(thm)],[12739])).
% 25.17/16.53 tff(12741,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 25.17/16.53 inference(transitivity,[status(thm)],[12740, 12738])).
% 25.17/16.53 tff(12742,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12743,plain,
% 25.17/16.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB110, bitIndex2) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex2))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12742, 12741])).
% 25.17/16.53 tff(12744,plain,
% 25.17/16.53 (v84(constB110, bitIndex2) | v94(constB111) | (~v84(constB111, bitIndex2))),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12743, 105, 12725])).
% 25.17/16.53 tff(12745,plain,
% 25.17/16.53 (v84(constB110, bitIndex2) | (~v84(constB111, bitIndex2))),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12744, 12737])).
% 25.17/16.53 tff(12746,plain,
% 25.17/16.53 (~v84(constB111, bitIndex2)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12745, 12719])).
% 25.17/16.53 tff(12747,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12748,plain,
% 25.17/16.53 ((v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex1))) <=> (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1)))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12749,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1))))),
% 25.17/16.53 inference(monotonicity,[status(thm)],[12748])).
% 25.17/16.53 tff(12750,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1)))),
% 25.17/16.53 inference(transitivity,[status(thm)],[12749, 12747])).
% 25.17/16.53 tff(12751,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~v124(constB109, bitIndex1)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12752,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | (~v124(constB109, bitIndex1))),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12751, 12750])).
% 25.17/16.53 tff(12753,plain,
% 25.17/16.53 (~v124(constB109, bitIndex1)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12752, 2105, 12694, 12690, 12686, 12682, 12678, 12674])).
% 25.17/16.53 tff(12754,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12755,plain,
% 25.17/16.53 ((v26(constB109) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1))) <=> ((~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1))),
% 25.17/16.53 inference(rewrite,[status(thm)],[])).
% 25.17/16.53 tff(12756,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB109) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1)))),
% 25.17/16.53 inference(monotonicity,[status(thm)],[12755])).
% 25.17/16.53 tff(12757,plain,
% 25.17/16.53 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB109) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1))),
% 25.17/16.53 inference(transitivity,[status(thm)],[12756, 12754])).
% 25.17/16.53 tff(12758,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB109) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1)))),
% 25.17/16.53 inference(quant_inst,[status(thm)],[])).
% 25.17/16.53 tff(12759,plain,
% 25.17/16.53 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB109, bitIndex1)) | v26(constB109) | v124(constB109, bitIndex1)),
% 25.17/16.53 inference(modus_ponens,[status(thm)],[12758, 12757])).
% 25.17/16.53 tff(12760,plain,
% 25.17/16.53 ((~v121(constB109, bitIndex1)) | v124(constB109, bitIndex1)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12759, 476, 12621])).
% 25.17/16.53 tff(12761,plain,
% 25.17/16.53 (~v121(constB109, bitIndex1)),
% 25.17/16.53 inference(unit_resolution,[status(thm)],[12760, 12753])).
% 25.17/16.53 tff(12762,plain,
% 25.17/16.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12763,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB109, constB110)) | v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1)))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12764,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB109, constB110)) | v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12763, 12762])).
% 25.17/16.54 tff(12765,plain,
% 25.17/16.54 (v121(constB109, bitIndex1) | (~v123(constB110, bitIndex1))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12764, 494, 12636])).
% 25.17/16.54 tff(12766,plain,
% 25.17/16.54 (~v123(constB110, bitIndex1)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12765, 12761])).
% 25.17/16.54 tff(12767,plain,
% 25.17/16.54 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12768,plain,
% 25.17/16.54 (((~v84(constB110, bitIndex1)) | (~v94(constB110)) | v123(constB110, bitIndex1)) <=> ((~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12769,plain,
% 25.17/16.54 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~v94(constB110)) | v123(constB110, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110))))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12768])).
% 25.17/16.54 tff(12770,plain,
% 25.17/16.54 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~v94(constB110)) | v123(constB110, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110)))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12769, 12767])).
% 25.17/16.54 tff(12771,plain,
% 25.17/16.54 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB110, bitIndex1)) | (~v94(constB110)) | v123(constB110, bitIndex1))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12772,plain,
% 25.17/16.54 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1) | (~v94(constB110))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12771, 12770])).
% 25.17/16.54 tff(12773,plain,
% 25.17/16.54 ((~v84(constB110, bitIndex1)) | (~v94(constB110))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12772, 509, 12766])).
% 25.17/16.54 tff(12774,plain,
% 25.17/16.54 (~v84(constB110, bitIndex1)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12773, 12670])).
% 25.17/16.54 tff(12775,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12776,plain,
% 25.17/16.54 (((~nextState(constB110, constB111)) | v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1))) <=> (v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12777,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1))))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12776])).
% 25.17/16.54 tff(12778,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1)))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12777, 12775])).
% 25.17/16.54 tff(12779,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB110, constB111)) | v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1)))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12780,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB110, bitIndex1) | (~nextState(constB110, constB111)) | v94(constB111) | (~v84(constB111, bitIndex1))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12779, 12778])).
% 25.17/16.54 tff(12781,plain,
% 25.17/16.54 (v84(constB110, bitIndex1) | v94(constB111) | (~v84(constB111, bitIndex1))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12780, 126, 12725])).
% 25.17/16.54 tff(12782,plain,
% 25.17/16.54 (v84(constB110, bitIndex1) | (~v84(constB111, bitIndex1))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12781, 12737])).
% 25.17/16.54 tff(12783,plain,
% 25.17/16.54 (~v84(constB111, bitIndex1)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12782, 12774])).
% 25.17/16.54 tff(12784,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12785,plain,
% 25.17/16.54 ((v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | v124(constB109, bitIndex0)) <=> (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12786,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | v124(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0)))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12785])).
% 25.17/16.54 tff(12787,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | v124(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12786, 12784])).
% 25.17/16.54 tff(12788,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | v124(constB109, bitIndex0))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12789,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB109) | v145(constB109) | v115(constB109) | v113(constB109) | v118(constB109) | v116(constB109) | v124(constB109, bitIndex0)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12788, 12787])).
% 25.17/16.54 tff(12790,plain,
% 25.17/16.54 (v124(constB109, bitIndex0)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12789, 2152, 12694, 12690, 12686, 12682, 12678, 12674])).
% 25.17/16.54 tff(12791,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12792,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12793,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB109) | (~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 25.17/16.54 tff(12794,plain,
% 25.17/16.54 ((~v124(constB109, bitIndex0)) | v121(constB109, bitIndex0)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12793, 547, 12621])).
% 25.17/16.54 tff(12795,plain,
% 25.17/16.54 (v121(constB109, bitIndex0)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12794, 12790])).
% 25.17/16.54 tff(12796,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12797,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12798,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB109, constB110)) | (~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12797, 12796])).
% 25.17/16.54 tff(12799,plain,
% 25.17/16.54 ((~v121(constB109, bitIndex0)) | v123(constB110, bitIndex0)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12798, 562, 12636])).
% 25.17/16.54 tff(12800,plain,
% 25.17/16.54 (v123(constB110, bitIndex0)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12799, 12795])).
% 25.17/16.54 tff(12801,plain,
% 25.17/16.54 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12802,plain,
% 25.17/16.54 ((v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0))) <=> (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12803,plain,
% 25.17/16.54 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110))))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12802])).
% 25.17/16.54 tff(12804,plain,
% 25.17/16.54 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110)))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12803, 12801])).
% 25.17/16.54 tff(12805,plain,
% 25.17/16.54 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0)))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12806,plain,
% 25.17/16.54 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)) | (~v94(constB110))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12805, 12804])).
% 25.17/16.54 tff(12807,plain,
% 25.17/16.54 (v84(constB110, bitIndex0) | (~v94(constB110))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12806, 577, 12800])).
% 25.17/16.54 tff(12808,plain,
% 25.17/16.54 (v84(constB110, bitIndex0)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12807, 12670])).
% 25.17/16.54 tff(12809,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12810,plain,
% 25.17/16.54 (((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0)) <=> ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12811,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0)))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12810])).
% 25.17/16.54 tff(12812,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12811, 12809])).
% 25.17/16.54 tff(12813,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB110, constB111)) | (~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12814,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB110, bitIndex0)) | (~nextState(constB110, constB111)) | v94(constB111) | v84(constB111, bitIndex0)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12813, 12812])).
% 25.17/16.54 tff(12815,plain,
% 25.17/16.54 ((~v84(constB110, bitIndex0)) | v94(constB111) | v84(constB111, bitIndex0)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12814, 595, 12725])).
% 25.17/16.54 tff(12816,plain,
% 25.17/16.54 ((~v84(constB110, bitIndex0)) | v84(constB111, bitIndex0)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12815, 12737])).
% 25.17/16.54 tff(12817,plain,
% 25.17/16.54 (v84(constB111, bitIndex0)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12816, 12808])).
% 25.17/16.54 tff(12818,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12819,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12820,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12819, 12818])).
% 25.17/16.54 tff(12821,plain,
% 25.17/16.54 (v145(constB111)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12820, 614, 12817, 12783, 12746])).
% 25.17/16.54 tff(12822,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB111) | (~v145(constB111)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB111) | (~v145(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12823,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB111) | (~v145(constB111)))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12824,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB111) | (~v145(constB111))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 25.17/16.54 tff(12825,plain,
% 25.17/16.54 (v112(constB111)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12824, 677, 12821])).
% 25.17/16.54 tff(12826,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB111)) | v111(constB111))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB111)) | v111(constB111))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12827,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB111)) | v111(constB111))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12828,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB111)) | v111(constB111)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12827, 12826])).
% 25.17/16.54 tff(12829,plain,
% 25.17/16.54 (v111(constB111)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12828, 193, 12825])).
% 25.17/16.54 tff(12830,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB111)) | v110(constB111))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB111)) | v110(constB111))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12831,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB111)) | v110(constB111))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12832,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB111)) | v110(constB111)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 25.17/16.54 tff(12833,plain,
% 25.17/16.54 (v110(constB111)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12832, 207, 12829])).
% 25.17/16.54 tff(12834,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB111)) | v109(constB111))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB111)) | v109(constB111))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12835,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB111)) | v109(constB111))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12836,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB111)) | v109(constB111)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 25.17/16.54 tff(12837,plain,
% 25.17/16.54 (v109(constB111)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12836, 221, 12833])).
% 25.17/16.54 tff(12838,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v109(constB111)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v109(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12839,plain,
% 25.17/16.54 (((~v109(constB111)) | v108(constB111)) <=> (v108(constB111) | (~v109(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12840,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB111) | (~v109(constB111))))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12839])).
% 25.17/16.54 tff(12841,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB111)) | v108(constB111))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v109(constB111)))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12840, 12838])).
% 25.17/16.54 tff(12842,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB111)) | v108(constB111))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12843,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB111) | (~v109(constB111))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12842, 12841])).
% 25.17/16.54 tff(12844,plain,
% 25.17/16.54 (v108(constB111)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12843, 235, 12837])).
% 25.17/16.54 tff(12845,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB111) | (~v108(constB111)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB111) | (~v108(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12846,plain,
% 25.17/16.54 (((~v108(constB111)) | v107(constB111)) <=> (v107(constB111) | (~v108(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12847,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB111)) | v107(constB111))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB111) | (~v108(constB111))))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12846])).
% 25.17/16.54 tff(12848,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB111)) | v107(constB111))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB111) | (~v108(constB111)))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12847, 12845])).
% 25.17/16.54 tff(12849,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB111)) | v107(constB111))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12850,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB111) | (~v108(constB111))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12849, 12848])).
% 25.17/16.54 tff(12851,plain,
% 25.17/16.54 (v107(constB111)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12850, 249, 12844])).
% 25.17/16.54 tff(12852,assumption,(v26(constB111)), introduced(assumption)).
% 25.17/16.54 tff(12853,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB111))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12854,plain,
% 25.17/16.54 ($false),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12853, 18, 12852])).
% 25.17/16.54 tff(12855,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 25.17/16.54 tff(12856,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | v106(constB111) | (~v107(constB111)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | v106(constB111) | (~v107(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12857,plain,
% 25.17/16.54 ((v26(constB111) | (~v107(constB111)) | v106(constB111)) <=> (v26(constB111) | v106(constB111) | (~v107(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12858,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | v106(constB111) | (~v107(constB111))))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12857])).
% 25.17/16.54 tff(12859,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | v106(constB111) | (~v107(constB111)))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12858, 12856])).
% 25.17/16.54 tff(12860,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12861,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | v106(constB111) | (~v107(constB111))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12860, 12859])).
% 25.17/16.54 tff(12862,plain,
% 25.17/16.54 (v106(constB111) | (~v107(constB111))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12861, 263, 12855])).
% 25.17/16.54 tff(12863,plain,
% 25.17/16.54 (v106(constB111)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12862, 12851])).
% 25.17/16.54 tff(12864,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB111) | (~v106(constB111)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB111) | (~v106(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12865,plain,
% 25.17/16.54 (((~v106(constB111)) | v102(constB111)) <=> (v102(constB111) | (~v106(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12866,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB111)) | v102(constB111))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB111) | (~v106(constB111))))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12865])).
% 25.17/16.54 tff(12867,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB111)) | v102(constB111))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB111) | (~v106(constB111)))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12866, 12864])).
% 25.17/16.54 tff(12868,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB111)) | v102(constB111))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12869,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB111) | (~v106(constB111))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 25.17/16.54 tff(12870,plain,
% 25.17/16.54 (v102(constB111)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12869, 275, 12863])).
% 25.17/16.54 tff(12871,plain,
% 25.17/16.54 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12872,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 25.17/16.54 tff(12873,plain,
% 25.17/16.54 (nextState(constB111, constB112)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12872, 12871])).
% 25.17/16.54 tff(12874,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12875,plain,
% 25.17/16.54 (((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112)) <=> ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12876,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12875])).
% 25.17/16.54 tff(12877,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12876, 12874])).
% 25.17/16.54 tff(12878,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12879,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12878, 12877])).
% 25.17/16.54 tff(12880,plain,
% 25.17/16.54 (v104(constB112) | (~v102(constB111))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12879, 295, 12873])).
% 25.17/16.54 tff(12881,plain,
% 25.17/16.54 (v104(constB112)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12880, 12870])).
% 25.17/16.54 tff(12882,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12883,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12884,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 25.17/16.54 tff(12885,plain,
% 25.17/16.54 (~v98(constB112)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12884, 313, 12873, 12722])).
% 25.17/16.54 tff(12886,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12887,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12888,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 25.17/16.54 tff(12889,plain,
% 25.17/16.54 (v96(constB112) | v98(constB112)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12888, 327, 12873])).
% 25.17/16.54 tff(12890,plain,
% 25.17/16.54 (v96(constB112)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12889, 12885])).
% 25.17/16.54 tff(12891,plain,
% 25.17/16.54 (v1(constB112) <=> v1(constB112)),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12892,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 25.17/16.54 tff(12893,plain,
% 25.17/16.54 (v1(constB112)),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12892, 12891])).
% 25.17/16.54 tff(12894,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12895,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12896,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12895, 12894])).
% 25.17/16.54 tff(12897,plain,
% 25.17/16.54 (v95(constB112) | (~v96(constB112))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12896, 345, 12873, 12893])).
% 25.17/16.54 tff(12898,plain,
% 25.17/16.54 (v95(constB112)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12897, 12890])).
% 25.17/16.54 tff(12899,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12900,plain,
% 25.17/16.54 (((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112)) <=> ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12901,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112))))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12900])).
% 25.17/16.54 tff(12902,plain,
% 25.17/16.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112)))),
% 25.17/16.54 inference(transitivity,[status(thm)],[12901, 12899])).
% 25.17/16.54 tff(12903,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12904,plain,
% 25.17/16.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | v94(constB112) | (~v95(constB112)) | (~v104(constB112))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12903, 12902])).
% 25.17/16.54 tff(12905,plain,
% 25.17/16.54 (v94(constB112) | (~v95(constB112)) | (~v104(constB112))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12904, 360, 12873])).
% 25.17/16.54 tff(12906,plain,
% 25.17/16.54 (v94(constB112) | (~v104(constB112))),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12905, 12898])).
% 25.17/16.54 tff(12907,plain,
% 25.17/16.54 (v94(constB112)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12906, 12881])).
% 25.17/16.54 tff(12908,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB111)) | (~v124(constB111, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB111)) | (~v124(constB111, bitIndex2)))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12909,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB111)) | (~v124(constB111, bitIndex2)))),
% 25.17/16.54 inference(quant_inst,[status(thm)],[])).
% 25.17/16.54 tff(12910,plain,
% 25.17/16.54 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB111)) | (~v124(constB111, bitIndex2))),
% 25.17/16.54 inference(modus_ponens,[status(thm)],[12909, 12908])).
% 25.17/16.54 tff(12911,plain,
% 25.17/16.54 (~v124(constB111, bitIndex2)),
% 25.17/16.54 inference(unit_resolution,[status(thm)],[12910, 625, 12821])).
% 25.17/16.54 tff(12912,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12913,plain,
% 25.17/16.54 ((v26(constB111) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2))) <=> ((~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2))),
% 25.17/16.54 inference(rewrite,[status(thm)],[])).
% 25.17/16.54 tff(12914,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB111) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2)))),
% 25.17/16.54 inference(monotonicity,[status(thm)],[12913])).
% 25.17/16.54 tff(12915,plain,
% 25.17/16.54 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB111) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2))),
% 25.17/16.55 inference(transitivity,[status(thm)],[12914, 12912])).
% 25.17/16.55 tff(12916,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB111) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12917,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB111, bitIndex2)) | v26(constB111) | v124(constB111, bitIndex2)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12916, 12915])).
% 25.17/16.55 tff(12918,plain,
% 25.17/16.55 ((~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12917, 390, 12855])).
% 25.17/16.55 tff(12919,plain,
% 25.17/16.55 (~v121(constB111, bitIndex2)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12918, 12911])).
% 25.17/16.55 tff(12920,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12921,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12922,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12921, 12920])).
% 25.17/16.55 tff(12923,plain,
% 25.17/16.55 (v121(constB111, bitIndex2) | (~v123(constB112, bitIndex2))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12922, 408, 12873])).
% 25.17/16.55 tff(12924,plain,
% 25.17/16.55 (~v123(constB112, bitIndex2)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12923, 12919])).
% 25.17/16.55 tff(12925,plain,
% 25.17/16.55 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12926,plain,
% 25.17/16.55 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12927,plain,
% 25.17/16.55 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2) | (~v94(constB112))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12926, 12925])).
% 25.17/16.55 tff(12928,plain,
% 25.17/16.55 ((~v84(constB112, bitIndex2)) | (~v94(constB112))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12927, 423, 12924])).
% 25.17/16.55 tff(12929,plain,
% 25.17/16.55 (~v84(constB112, bitIndex2)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12928, 12907])).
% 25.17/16.55 tff(12930,plain,
% 25.17/16.55 ((~v1(constB113)) <=> (~v1(constB113))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12931,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 25.17/16.55 tff(12932,plain,
% 25.17/16.55 (~v1(constB113)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 25.17/16.55 tff(12933,plain,
% 25.17/16.55 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12934,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 25.17/16.55 tff(12935,plain,
% 25.17/16.55 (nextState(constB112, constB113)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 25.17/16.55 tff(12936,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12937,plain,
% 25.17/16.55 (((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12938,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[12937])).
% 25.17/16.55 tff(12939,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 25.17/16.55 inference(transitivity,[status(thm)],[12938, 12936])).
% 25.17/16.55 tff(12940,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12941,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12940, 12939])).
% 25.17/16.55 tff(12942,plain,
% 25.17/16.55 (~v95(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12941, 73, 12935, 12932])).
% 25.17/16.55 tff(12943,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12944,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12945,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12944, 12943])).
% 25.17/16.55 tff(12946,plain,
% 25.17/16.55 (v95(constB113) | (~v94(constB113))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12945, 90, 12935])).
% 25.17/16.55 tff(12947,plain,
% 25.17/16.55 (~v94(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12946, 12942])).
% 25.17/16.55 tff(12948,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12949,plain,
% 25.17/16.55 (((~nextState(constB112, constB113)) | v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2))) <=> (v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12950,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2))))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[12949])).
% 25.17/16.55 tff(12951,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2)))),
% 25.17/16.55 inference(transitivity,[status(thm)],[12950, 12948])).
% 25.17/16.55 tff(12952,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12953,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB112, bitIndex2) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex2))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12952, 12951])).
% 25.17/16.55 tff(12954,plain,
% 25.17/16.55 (v84(constB112, bitIndex2) | v94(constB113) | (~v84(constB113, bitIndex2))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12953, 105, 12935])).
% 25.17/16.55 tff(12955,plain,
% 25.17/16.55 (v84(constB112, bitIndex2) | (~v84(constB113, bitIndex2))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12954, 12947])).
% 25.17/16.55 tff(12956,plain,
% 25.17/16.55 (~v84(constB113, bitIndex2)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12955, 12929])).
% 25.17/16.55 tff(12957,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB111)) | v124(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB111)) | v124(constB111, bitIndex1))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12958,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB111)) | v124(constB111, bitIndex1))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12959,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB111)) | v124(constB111, bitIndex1)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 25.17/16.55 tff(12960,plain,
% 25.17/16.55 (v124(constB111, bitIndex1)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12959, 798, 12821])).
% 25.17/16.55 tff(12961,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB111) | (~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB111) | (~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12962,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB111) | (~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12963,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB111) | (~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 25.17/16.55 tff(12964,plain,
% 25.17/16.55 ((~v124(constB111, bitIndex1)) | v121(constB111, bitIndex1)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12963, 812, 12855])).
% 25.17/16.55 tff(12965,plain,
% 25.17/16.55 (v121(constB111, bitIndex1)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12964, 12960])).
% 25.17/16.55 tff(12966,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12967,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB111, constB112)) | (~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12968,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB111, constB112)) | (~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12967, 12966])).
% 25.17/16.55 tff(12969,plain,
% 25.17/16.55 ((~v121(constB111, bitIndex1)) | v123(constB112, bitIndex1)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12968, 827, 12873])).
% 25.17/16.55 tff(12970,plain,
% 25.17/16.55 (v123(constB112, bitIndex1)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12969, 12965])).
% 25.17/16.55 tff(12971,plain,
% 25.17/16.55 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12972,plain,
% 25.17/16.55 ((v84(constB112, bitIndex1) | (~v94(constB112)) | (~v123(constB112, bitIndex1))) <=> (v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12973,plain,
% 25.17/16.55 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v94(constB112)) | (~v123(constB112, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112))))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[12972])).
% 25.17/16.55 tff(12974,plain,
% 25.17/16.55 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v94(constB112)) | (~v123(constB112, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112)))),
% 25.17/16.55 inference(transitivity,[status(thm)],[12973, 12971])).
% 25.17/16.55 tff(12975,plain,
% 25.17/16.55 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB112, bitIndex1) | (~v94(constB112)) | (~v123(constB112, bitIndex1)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12976,plain,
% 25.17/16.55 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)) | (~v94(constB112))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12975, 12974])).
% 25.17/16.55 tff(12977,plain,
% 25.17/16.55 (v84(constB112, bitIndex1) | (~v94(constB112))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12976, 842, 12970])).
% 25.17/16.55 tff(12978,plain,
% 25.17/16.55 (v84(constB112, bitIndex1)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12977, 12907])).
% 25.17/16.55 tff(12979,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12980,plain,
% 25.17/16.55 (((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1)) <=> ((~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12981,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1)))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[12980])).
% 25.17/16.55 tff(12982,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1))),
% 25.17/16.55 inference(transitivity,[status(thm)],[12981, 12979])).
% 25.17/16.55 tff(12983,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB112, constB113)) | (~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12984,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB112, bitIndex1)) | (~nextState(constB112, constB113)) | v94(constB113) | v84(constB113, bitIndex1)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12983, 12982])).
% 25.17/16.55 tff(12985,plain,
% 25.17/16.55 ((~v84(constB112, bitIndex1)) | v94(constB113) | v84(constB113, bitIndex1)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12984, 860, 12935])).
% 25.17/16.55 tff(12986,plain,
% 25.17/16.55 ((~v84(constB112, bitIndex1)) | v84(constB113, bitIndex1)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12985, 12947])).
% 25.17/16.55 tff(12987,plain,
% 25.17/16.55 (v84(constB113, bitIndex1)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12986, 12978])).
% 25.17/16.55 tff(12988,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB111)) | (~v124(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB111)) | (~v124(constB111, bitIndex0)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12989,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB111)) | (~v124(constB111, bitIndex0)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12990,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB111)) | (~v124(constB111, bitIndex0))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12989, 12988])).
% 25.17/16.55 tff(12991,plain,
% 25.17/16.55 (~v124(constB111, bitIndex0)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12990, 876, 12821])).
% 25.17/16.55 tff(12992,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12993,plain,
% 25.17/16.55 ((v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0))) <=> ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(12994,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0)))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[12993])).
% 25.17/16.55 tff(12995,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0))),
% 25.17/16.55 inference(transitivity,[status(thm)],[12994, 12992])).
% 25.17/16.55 tff(12996,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB111) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(12997,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB111, bitIndex0)) | v26(constB111) | v124(constB111, bitIndex0)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[12996, 12995])).
% 25.17/16.55 tff(12998,plain,
% 25.17/16.55 ((~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12997, 890, 12855])).
% 25.17/16.55 tff(12999,plain,
% 25.17/16.55 (~v121(constB111, bitIndex0)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[12998, 12991])).
% 25.17/16.55 tff(13000,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13001,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13002,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB111, constB112)) | v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13001, 13000])).
% 25.17/16.55 tff(13003,plain,
% 25.17/16.55 (v121(constB111, bitIndex0) | (~v123(constB112, bitIndex0))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13002, 908, 12873])).
% 25.17/16.55 tff(13004,plain,
% 25.17/16.55 (~v123(constB112, bitIndex0)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13003, 12999])).
% 25.17/16.55 tff(13005,plain,
% 25.17/16.55 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13006,plain,
% 25.17/16.55 (((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0)) <=> ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13007,plain,
% 25.17/16.55 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112))))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[13006])).
% 25.17/16.55 tff(13008,plain,
% 25.17/16.55 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112)))),
% 25.17/16.55 inference(transitivity,[status(thm)],[13007, 13005])).
% 25.17/16.55 tff(13009,plain,
% 25.17/16.55 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13010,plain,
% 25.17/16.55 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0) | (~v94(constB112))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13009, 13008])).
% 25.17/16.55 tff(13011,plain,
% 25.17/16.55 ((~v84(constB112, bitIndex0)) | (~v94(constB112))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13010, 923, 13004])).
% 25.17/16.55 tff(13012,plain,
% 25.17/16.55 (~v84(constB112, bitIndex0)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13011, 12907])).
% 25.17/16.55 tff(13013,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13014,plain,
% 25.17/16.55 (((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0))) <=> (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13015,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0))))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[13014])).
% 25.17/16.55 tff(13016,plain,
% 25.17/16.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 25.17/16.55 inference(transitivity,[status(thm)],[13015, 13013])).
% 25.17/16.55 tff(13017,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB112, constB113)) | v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0)))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13018,plain,
% 25.17/16.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB112, bitIndex0) | (~nextState(constB112, constB113)) | v94(constB113) | (~v84(constB113, bitIndex0))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13017, 13016])).
% 25.17/16.55 tff(13019,plain,
% 25.17/16.55 (v84(constB112, bitIndex0) | v94(constB113) | (~v84(constB113, bitIndex0))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13018, 147, 12935])).
% 25.17/16.55 tff(13020,plain,
% 25.17/16.55 (v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0))),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13019, 12947])).
% 25.17/16.55 tff(13021,plain,
% 25.17/16.55 (~v84(constB113, bitIndex0)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13020, 13012])).
% 25.17/16.55 tff(13022,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13023,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13024,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13023, 13022])).
% 25.17/16.55 tff(13025,plain,
% 25.17/16.55 (v115(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13024, 950, 13021, 12987, 12956])).
% 25.17/16.55 tff(13026,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB113)) | v111(constB113))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB113)) | v111(constB113))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13027,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB113)) | v111(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13028,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB113)) | v111(constB113)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13027, 13026])).
% 25.17/16.55 tff(13029,plain,
% 25.17/16.55 (v111(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13028, 961, 13025])).
% 25.17/16.55 tff(13030,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB113) | (~v111(constB113)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB113) | (~v111(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13031,plain,
% 25.17/16.55 (((~v111(constB113)) | v110(constB113)) <=> (v110(constB113) | (~v111(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13032,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB113)) | v110(constB113))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB113) | (~v111(constB113))))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[13031])).
% 25.17/16.55 tff(13033,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB113)) | v110(constB113))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB113) | (~v111(constB113)))),
% 25.17/16.55 inference(transitivity,[status(thm)],[13032, 13030])).
% 25.17/16.55 tff(13034,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB113)) | v110(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13035,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB113) | (~v111(constB113))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13034, 13033])).
% 25.17/16.55 tff(13036,plain,
% 25.17/16.55 (v110(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13035, 207, 13029])).
% 25.17/16.55 tff(13037,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB113) | (~v110(constB113)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB113) | (~v110(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13038,plain,
% 25.17/16.55 (((~v110(constB113)) | v109(constB113)) <=> (v109(constB113) | (~v110(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13039,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB113)) | v109(constB113))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB113) | (~v110(constB113))))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[13038])).
% 25.17/16.55 tff(13040,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB113)) | v109(constB113))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB113) | (~v110(constB113)))),
% 25.17/16.55 inference(transitivity,[status(thm)],[13039, 13037])).
% 25.17/16.55 tff(13041,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB113)) | v109(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13042,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB113) | (~v110(constB113))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13041, 13040])).
% 25.17/16.55 tff(13043,plain,
% 25.17/16.55 (v109(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13042, 221, 13036])).
% 25.17/16.55 tff(13044,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB113)) | v108(constB113))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB113)) | v108(constB113))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13045,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB113)) | v108(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13046,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB113)) | v108(constB113)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13045, 13044])).
% 25.17/16.55 tff(13047,plain,
% 25.17/16.55 (v108(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13046, 235, 13043])).
% 25.17/16.55 tff(13048,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB113) | (~v108(constB113)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB113) | (~v108(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13049,plain,
% 25.17/16.55 (((~v108(constB113)) | v107(constB113)) <=> (v107(constB113) | (~v108(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13050,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB113)) | v107(constB113))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB113) | (~v108(constB113))))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[13049])).
% 25.17/16.55 tff(13051,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB113)) | v107(constB113))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB113) | (~v108(constB113)))),
% 25.17/16.55 inference(transitivity,[status(thm)],[13050, 13048])).
% 25.17/16.55 tff(13052,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB113)) | v107(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13053,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB113) | (~v108(constB113))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13052, 13051])).
% 25.17/16.55 tff(13054,plain,
% 25.17/16.55 (v107(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13053, 249, 13047])).
% 25.17/16.55 tff(13055,assumption,(v26(constB113)), introduced(assumption)).
% 25.17/16.55 tff(13056,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13057,plain,
% 25.17/16.55 ($false),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13056, 18, 13055])).
% 25.17/16.55 tff(13058,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 25.17/16.55 tff(13059,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | (~v107(constB113)) | v106(constB113))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13060,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13061,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | (~v107(constB113)) | v106(constB113)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13060, 13059])).
% 25.17/16.55 tff(13062,plain,
% 25.17/16.55 ((~v107(constB113)) | v106(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13061, 263, 13058])).
% 25.17/16.55 tff(13063,plain,
% 25.17/16.55 (v106(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13062, 13054])).
% 25.17/16.55 tff(13064,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB113) | (~v106(constB113)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB113) | (~v106(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13065,plain,
% 25.17/16.55 (((~v106(constB113)) | v102(constB113)) <=> (v102(constB113) | (~v106(constB113)))),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13066,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB113)) | v102(constB113))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB113) | (~v106(constB113))))),
% 25.17/16.55 inference(monotonicity,[status(thm)],[13065])).
% 25.17/16.55 tff(13067,plain,
% 25.17/16.55 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB113)) | v102(constB113))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB113) | (~v106(constB113)))),
% 25.17/16.55 inference(transitivity,[status(thm)],[13066, 13064])).
% 25.17/16.55 tff(13068,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB113)) | v102(constB113))),
% 25.17/16.55 inference(quant_inst,[status(thm)],[])).
% 25.17/16.55 tff(13069,plain,
% 25.17/16.55 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB113) | (~v106(constB113))),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13068, 13067])).
% 25.17/16.55 tff(13070,plain,
% 25.17/16.55 (v102(constB113)),
% 25.17/16.55 inference(unit_resolution,[status(thm)],[13069, 275, 13063])).
% 25.17/16.55 tff(13071,plain,
% 25.17/16.55 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 25.17/16.55 inference(rewrite,[status(thm)],[])).
% 25.17/16.55 tff(13072,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 25.17/16.55 tff(13073,plain,
% 25.17/16.55 (nextState(constB113, constB114)),
% 25.17/16.55 inference(modus_ponens,[status(thm)],[13072, 13071])).
% 25.17/16.56 tff(13074,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13075,plain,
% 25.17/16.56 (((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114)) <=> ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13076,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))))),
% 25.17/16.56 inference(monotonicity,[status(thm)],[13075])).
% 25.17/16.56 tff(13077,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 25.17/16.56 inference(transitivity,[status(thm)],[13076, 13074])).
% 25.17/16.56 tff(13078,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13079,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13078, 13077])).
% 25.17/16.56 tff(13080,plain,
% 25.17/16.56 (v104(constB114) | (~v102(constB113))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13079, 295, 13073])).
% 25.17/16.56 tff(13081,plain,
% 25.17/16.56 (v104(constB114)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13080, 13070])).
% 25.17/16.56 tff(13082,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13083,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13084,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13083, 13082])).
% 25.17/16.56 tff(13085,plain,
% 25.17/16.56 (~v98(constB114)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13084, 313, 13073, 12932])).
% 25.17/16.56 tff(13086,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13087,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13088,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13087, 13086])).
% 25.17/16.56 tff(13089,plain,
% 25.17/16.56 (v96(constB114) | v98(constB114)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13088, 327, 13073])).
% 25.17/16.56 tff(13090,plain,
% 25.17/16.56 (v96(constB114)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13089, 13085])).
% 25.17/16.56 tff(13091,plain,
% 25.17/16.56 (v1(constB114) <=> v1(constB114)),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13092,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 25.17/16.56 tff(13093,plain,
% 25.17/16.56 (v1(constB114)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13092, 13091])).
% 25.17/16.56 tff(13094,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13095,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13096,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13095, 13094])).
% 25.17/16.56 tff(13097,plain,
% 25.17/16.56 (v95(constB114) | (~v96(constB114))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13096, 345, 13073, 13093])).
% 25.17/16.56 tff(13098,plain,
% 25.17/16.56 (v95(constB114)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13097, 13090])).
% 25.17/16.56 tff(13099,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13100,plain,
% 25.17/16.56 (((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114)) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13101,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114))))),
% 25.17/16.56 inference(monotonicity,[status(thm)],[13100])).
% 25.17/16.56 tff(13102,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114)))),
% 25.17/16.56 inference(transitivity,[status(thm)],[13101, 13099])).
% 25.17/16.56 tff(13103,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13104,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | v94(constB114) | (~v95(constB114)) | (~v104(constB114))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13103, 13102])).
% 25.17/16.56 tff(13105,plain,
% 25.17/16.56 (v94(constB114) | (~v95(constB114)) | (~v104(constB114))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13104, 360, 13073])).
% 25.17/16.56 tff(13106,plain,
% 25.17/16.56 (v94(constB114) | (~v104(constB114))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13105, 13098])).
% 25.17/16.56 tff(13107,plain,
% 25.17/16.56 (v94(constB114)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13106, 13081])).
% 25.17/16.56 tff(13108,plain,
% 25.17/16.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB113)) | (~v124(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB113)) | (~v124(constB113, bitIndex2)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13109,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB113)) | (~v124(constB113, bitIndex2)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13110,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB113)) | (~v124(constB113, bitIndex2))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13109, 13108])).
% 25.17/16.56 tff(13111,plain,
% 25.17/16.56 (~v124(constB113, bitIndex2)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13110, 1046, 13025])).
% 25.17/16.56 tff(13112,plain,
% 25.17/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13113,plain,
% 25.17/16.56 ((v26(constB113) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2))) <=> ((~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13114,plain,
% 25.17/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB113) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2)))),
% 25.17/16.56 inference(monotonicity,[status(thm)],[13113])).
% 25.17/16.56 tff(13115,plain,
% 25.17/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB113) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2))),
% 25.17/16.56 inference(transitivity,[status(thm)],[13114, 13112])).
% 25.17/16.56 tff(13116,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB113) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13117,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB113, bitIndex2)) | v26(constB113) | v124(constB113, bitIndex2)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13116, 13115])).
% 25.17/16.56 tff(13118,plain,
% 25.17/16.56 ((~v121(constB113, bitIndex2)) | v124(constB113, bitIndex2)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13117, 390, 13058])).
% 25.17/16.56 tff(13119,plain,
% 25.17/16.56 (~v121(constB113, bitIndex2)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13118, 13111])).
% 25.17/16.56 tff(13120,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13121,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB113, constB114)) | v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13122,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB113, constB114)) | v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13121, 13120])).
% 25.17/16.56 tff(13123,plain,
% 25.17/16.56 (v121(constB113, bitIndex2) | (~v123(constB114, bitIndex2))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13122, 408, 13073])).
% 25.17/16.56 tff(13124,plain,
% 25.17/16.56 (~v123(constB114, bitIndex2)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13123, 13119])).
% 25.17/16.56 tff(13125,plain,
% 25.17/16.56 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13126,plain,
% 25.17/16.56 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13127,plain,
% 25.17/16.56 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2) | (~v94(constB114))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13126, 13125])).
% 25.17/16.56 tff(13128,plain,
% 25.17/16.56 ((~v84(constB114, bitIndex2)) | (~v94(constB114))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13127, 423, 13124])).
% 25.17/16.56 tff(13129,plain,
% 25.17/16.56 (~v84(constB114, bitIndex2)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13128, 13107])).
% 25.17/16.56 tff(13130,plain,
% 25.17/16.56 ((~v1(constB115)) <=> (~v1(constB115))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13131,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 25.17/16.56 tff(13132,plain,
% 25.17/16.56 (~v1(constB115)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13131, 13130])).
% 25.17/16.56 tff(13133,plain,
% 25.17/16.56 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13134,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 25.17/16.56 tff(13135,plain,
% 25.17/16.56 (nextState(constB114, constB115)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13134, 13133])).
% 25.17/16.56 tff(13136,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13137,plain,
% 25.17/16.56 (((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13138,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))))),
% 25.17/16.56 inference(monotonicity,[status(thm)],[13137])).
% 25.17/16.56 tff(13139,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 25.17/16.56 inference(transitivity,[status(thm)],[13138, 13136])).
% 25.17/16.56 tff(13140,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13141,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13140, 13139])).
% 25.17/16.56 tff(13142,plain,
% 25.17/16.56 (~v95(constB115)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13141, 73, 13135, 13132])).
% 25.17/16.56 tff(13143,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13144,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13145,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13144, 13143])).
% 25.17/16.56 tff(13146,plain,
% 25.17/16.56 (v95(constB115) | (~v94(constB115))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13145, 90, 13135])).
% 25.17/16.56 tff(13147,plain,
% 25.17/16.56 (~v94(constB115)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13146, 13142])).
% 25.17/16.56 tff(13148,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13149,plain,
% 25.17/16.56 (((~nextState(constB114, constB115)) | v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2))) <=> (v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13150,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2))))),
% 25.17/16.56 inference(monotonicity,[status(thm)],[13149])).
% 25.17/16.56 tff(13151,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2)))),
% 25.17/16.56 inference(transitivity,[status(thm)],[13150, 13148])).
% 25.17/16.56 tff(13152,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB114, constB115)) | v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13153,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB114, bitIndex2) | (~nextState(constB114, constB115)) | v94(constB115) | (~v84(constB115, bitIndex2))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13152, 13151])).
% 25.17/16.56 tff(13154,plain,
% 25.17/16.56 (v84(constB114, bitIndex2) | v94(constB115) | (~v84(constB115, bitIndex2))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13153, 105, 13135])).
% 25.17/16.56 tff(13155,plain,
% 25.17/16.56 (v84(constB114, bitIndex2) | (~v84(constB115, bitIndex2))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13154, 13147])).
% 25.17/16.56 tff(13156,plain,
% 25.17/16.56 (~v84(constB115, bitIndex2)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13155, 13129])).
% 25.17/16.56 tff(13157,plain,
% 25.17/16.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB113)) | v124(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB113)) | v124(constB113, bitIndex1))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13158,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB113)) | v124(constB113, bitIndex1))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13159,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB113)) | v124(constB113, bitIndex1)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13158, 13157])).
% 25.17/16.56 tff(13160,plain,
% 25.17/16.56 (v124(constB113, bitIndex1)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13159, 1102, 13025])).
% 25.17/16.56 tff(13161,plain,
% 25.17/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13162,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13163,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB113) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13162, 13161])).
% 25.17/16.56 tff(13164,plain,
% 25.17/16.56 ((~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13163, 812, 13058])).
% 25.17/16.56 tff(13165,plain,
% 25.17/16.56 (v121(constB113, bitIndex1)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13164, 13160])).
% 25.17/16.56 tff(13166,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13167,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13168,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13167, 13166])).
% 25.17/16.56 tff(13169,plain,
% 25.17/16.56 ((~v121(constB113, bitIndex1)) | v123(constB114, bitIndex1)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13168, 827, 13073])).
% 25.17/16.56 tff(13170,plain,
% 25.17/16.56 (v123(constB114, bitIndex1)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13169, 13165])).
% 25.17/16.56 tff(13171,plain,
% 25.17/16.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13172,plain,
% 25.17/16.56 ((v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1))) <=> (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13173,plain,
% 25.17/16.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114))))),
% 25.17/16.56 inference(monotonicity,[status(thm)],[13172])).
% 25.17/16.56 tff(13174,plain,
% 25.17/16.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114)))),
% 25.17/16.56 inference(transitivity,[status(thm)],[13173, 13171])).
% 25.17/16.56 tff(13175,plain,
% 25.17/16.56 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13176,plain,
% 25.17/16.56 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)) | (~v94(constB114))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13175, 13174])).
% 25.17/16.56 tff(13177,plain,
% 25.17/16.56 (v84(constB114, bitIndex1) | (~v94(constB114))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13176, 842, 13170])).
% 25.17/16.56 tff(13178,plain,
% 25.17/16.56 (v84(constB114, bitIndex1)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13177, 13107])).
% 25.17/16.56 tff(13179,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13180,plain,
% 25.17/16.56 (((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1)) <=> ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13181,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1)))),
% 25.17/16.56 inference(monotonicity,[status(thm)],[13180])).
% 25.17/16.56 tff(13182,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1))),
% 25.17/16.56 inference(transitivity,[status(thm)],[13181, 13179])).
% 25.17/16.56 tff(13183,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13184,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB114, bitIndex1)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex1)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13183, 13182])).
% 25.17/16.56 tff(13185,plain,
% 25.17/16.56 ((~v84(constB114, bitIndex1)) | v94(constB115) | v84(constB115, bitIndex1)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13184, 860, 13135])).
% 25.17/16.56 tff(13186,plain,
% 25.17/16.56 ((~v84(constB114, bitIndex1)) | v84(constB115, bitIndex1)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13185, 13147])).
% 25.17/16.56 tff(13187,plain,
% 25.17/16.56 (v84(constB115, bitIndex1)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13186, 13178])).
% 25.17/16.56 tff(13188,plain,
% 25.17/16.56 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB113)) | v124(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB113)) | v124(constB113, bitIndex0))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13189,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB113)) | v124(constB113, bitIndex0))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13190,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB113)) | v124(constB113, bitIndex0)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13189, 13188])).
% 25.17/16.56 tff(13191,plain,
% 25.17/16.56 (v124(constB113, bitIndex0)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13190, 1140, 13025])).
% 25.17/16.56 tff(13192,plain,
% 25.17/16.56 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB113) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB113) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13193,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB113) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13194,plain,
% 25.17/16.56 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB113) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13193, 13192])).
% 25.17/16.56 tff(13195,plain,
% 25.17/16.56 ((~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13194, 547, 13058])).
% 25.17/16.56 tff(13196,plain,
% 25.17/16.56 (v121(constB113, bitIndex0)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13195, 13191])).
% 25.17/16.56 tff(13197,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13198,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB113, constB114)) | (~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13199,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB113, constB114)) | (~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 25.17/16.56 tff(13200,plain,
% 25.17/16.56 ((~v121(constB113, bitIndex0)) | v123(constB114, bitIndex0)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13199, 562, 13073])).
% 25.17/16.56 tff(13201,plain,
% 25.17/16.56 (v123(constB114, bitIndex0)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13200, 13196])).
% 25.17/16.56 tff(13202,plain,
% 25.17/16.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13203,plain,
% 25.17/16.56 ((v84(constB114, bitIndex0) | (~v94(constB114)) | (~v123(constB114, bitIndex0))) <=> (v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114)))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13204,plain,
% 25.17/16.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v94(constB114)) | (~v123(constB114, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114))))),
% 25.17/16.56 inference(monotonicity,[status(thm)],[13203])).
% 25.17/16.56 tff(13205,plain,
% 25.17/16.56 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v94(constB114)) | (~v123(constB114, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114)))),
% 25.17/16.56 inference(transitivity,[status(thm)],[13204, 13202])).
% 25.17/16.56 tff(13206,plain,
% 25.17/16.56 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB114, bitIndex0) | (~v94(constB114)) | (~v123(constB114, bitIndex0)))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13207,plain,
% 25.17/16.56 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)) | (~v94(constB114))),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13206, 13205])).
% 25.17/16.56 tff(13208,plain,
% 25.17/16.56 (v84(constB114, bitIndex0) | (~v94(constB114))),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13207, 577, 13201])).
% 25.17/16.56 tff(13209,plain,
% 25.17/16.56 (v84(constB114, bitIndex0)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13208, 13107])).
% 25.17/16.56 tff(13210,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13211,plain,
% 25.17/16.56 (((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0)) <=> ((~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0))),
% 25.17/16.56 inference(rewrite,[status(thm)],[])).
% 25.17/16.56 tff(13212,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0)))),
% 25.17/16.56 inference(monotonicity,[status(thm)],[13211])).
% 25.17/16.56 tff(13213,plain,
% 25.17/16.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0))),
% 25.17/16.56 inference(transitivity,[status(thm)],[13212, 13210])).
% 25.17/16.56 tff(13214,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB114, constB115)) | (~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0))),
% 25.17/16.56 inference(quant_inst,[status(thm)],[])).
% 25.17/16.56 tff(13215,plain,
% 25.17/16.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB114, bitIndex0)) | (~nextState(constB114, constB115)) | v94(constB115) | v84(constB115, bitIndex0)),
% 25.17/16.56 inference(modus_ponens,[status(thm)],[13214, 13213])).
% 25.17/16.56 tff(13216,plain,
% 25.17/16.56 ((~v84(constB114, bitIndex0)) | v94(constB115) | v84(constB115, bitIndex0)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13215, 595, 13135])).
% 25.17/16.56 tff(13217,plain,
% 25.17/16.56 ((~v84(constB114, bitIndex0)) | v84(constB115, bitIndex0)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13216, 13147])).
% 25.17/16.56 tff(13218,plain,
% 25.17/16.56 (v84(constB115, bitIndex0)),
% 25.17/16.56 inference(unit_resolution,[status(thm)],[13217, 13209])).
% 25.17/16.56 tff(13219,plain,
% 25.17/16.56 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13220,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13221,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 25.17/16.57 tff(13222,plain,
% 25.17/16.57 (v116(constB115)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13221, 1181, 13218, 13187, 13156])).
% 25.17/16.57 tff(13223,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB115) | (~v116(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13224,plain,
% 25.17/16.57 (((~v116(constB115)) | v110(constB115)) <=> (v110(constB115) | (~v116(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13225,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB115)) | v110(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB115) | (~v116(constB115))))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13224])).
% 25.17/16.57 tff(13226,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB115)) | v110(constB115))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB115) | (~v116(constB115)))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13225, 13223])).
% 25.17/16.57 tff(13227,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB115)) | v110(constB115))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13228,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB115) | (~v116(constB115))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13227, 13226])).
% 25.17/16.57 tff(13229,plain,
% 25.17/16.57 (v110(constB115)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13228, 1192, 13222])).
% 25.17/16.57 tff(13230,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB115) | (~v110(constB115)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB115) | (~v110(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13231,plain,
% 25.17/16.57 (((~v110(constB115)) | v109(constB115)) <=> (v109(constB115) | (~v110(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13232,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB115)) | v109(constB115))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB115) | (~v110(constB115))))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13231])).
% 25.17/16.57 tff(13233,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB115)) | v109(constB115))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB115) | (~v110(constB115)))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13232, 13230])).
% 25.17/16.57 tff(13234,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB115)) | v109(constB115))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13235,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB115) | (~v110(constB115))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13234, 13233])).
% 25.17/16.57 tff(13236,plain,
% 25.17/16.57 (v109(constB115)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13235, 221, 13229])).
% 25.17/16.57 tff(13237,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB115)) | v108(constB115))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB115)) | v108(constB115))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13238,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB115)) | v108(constB115))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13239,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB115)) | v108(constB115)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13238, 13237])).
% 25.17/16.57 tff(13240,plain,
% 25.17/16.57 (v108(constB115)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13239, 235, 13236])).
% 25.17/16.57 tff(13241,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB115) | (~v108(constB115)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB115) | (~v108(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13242,plain,
% 25.17/16.57 (((~v108(constB115)) | v107(constB115)) <=> (v107(constB115) | (~v108(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13243,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB115)) | v107(constB115))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB115) | (~v108(constB115))))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13242])).
% 25.17/16.57 tff(13244,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB115)) | v107(constB115))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB115) | (~v108(constB115)))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13243, 13241])).
% 25.17/16.57 tff(13245,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB115)) | v107(constB115))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13246,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB115) | (~v108(constB115))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13245, 13244])).
% 25.17/16.57 tff(13247,plain,
% 25.17/16.57 (v107(constB115)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13246, 249, 13240])).
% 25.17/16.57 tff(13248,assumption,(v26(constB115)), introduced(assumption)).
% 25.17/16.57 tff(13249,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB115))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13250,plain,
% 25.17/16.57 ($false),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13249, 18, 13248])).
% 25.17/16.57 tff(13251,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 25.17/16.57 tff(13252,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13253,plain,
% 25.17/16.57 ((v26(constB115) | (~v107(constB115)) | v106(constB115)) <=> (v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13254,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115))))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13253])).
% 25.17/16.57 tff(13255,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13254, 13252])).
% 25.17/16.57 tff(13256,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13257,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13256, 13255])).
% 25.17/16.57 tff(13258,plain,
% 25.17/16.57 (v106(constB115) | (~v107(constB115))),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13257, 263, 13251])).
% 25.17/16.57 tff(13259,plain,
% 25.17/16.57 (v106(constB115)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13258, 13247])).
% 25.17/16.57 tff(13260,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB115) | (~v106(constB115)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB115) | (~v106(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13261,plain,
% 25.17/16.57 (((~v106(constB115)) | v102(constB115)) <=> (v102(constB115) | (~v106(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13262,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB115)) | v102(constB115))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB115) | (~v106(constB115))))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13261])).
% 25.17/16.57 tff(13263,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB115)) | v102(constB115))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB115) | (~v106(constB115)))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13262, 13260])).
% 25.17/16.57 tff(13264,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB115)) | v102(constB115))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13265,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB115) | (~v106(constB115))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13264, 13263])).
% 25.17/16.57 tff(13266,plain,
% 25.17/16.57 (v102(constB115)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13265, 275, 13259])).
% 25.17/16.57 tff(13267,plain,
% 25.17/16.57 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13268,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 25.17/16.57 tff(13269,plain,
% 25.17/16.57 (nextState(constB115, constB116)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13268, 13267])).
% 25.17/16.57 tff(13270,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13271,plain,
% 25.17/16.57 (((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116)) <=> ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13272,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13271])).
% 25.17/16.57 tff(13273,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13272, 13270])).
% 25.17/16.57 tff(13274,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13275,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13274, 13273])).
% 25.17/16.57 tff(13276,plain,
% 25.17/16.57 (v104(constB116) | (~v102(constB115))),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13275, 295, 13269])).
% 25.17/16.57 tff(13277,plain,
% 25.17/16.57 (v104(constB116)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13276, 13266])).
% 25.17/16.57 tff(13278,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13279,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13280,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 25.17/16.57 tff(13281,plain,
% 25.17/16.57 (~v98(constB116)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13280, 313, 13269, 13132])).
% 25.17/16.57 tff(13282,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13283,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13284,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13283, 13282])).
% 25.17/16.57 tff(13285,plain,
% 25.17/16.57 (v96(constB116) | v98(constB116)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13284, 327, 13269])).
% 25.17/16.57 tff(13286,plain,
% 25.17/16.57 (v96(constB116)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13285, 13281])).
% 25.17/16.57 tff(13287,plain,
% 25.17/16.57 (v1(constB116) <=> v1(constB116)),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13288,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 25.17/16.57 tff(13289,plain,
% 25.17/16.57 (v1(constB116)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 25.17/16.57 tff(13290,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13291,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13292,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13291, 13290])).
% 25.17/16.57 tff(13293,plain,
% 25.17/16.57 (v95(constB116) | (~v96(constB116))),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13292, 345, 13269, 13289])).
% 25.17/16.57 tff(13294,plain,
% 25.17/16.57 (v95(constB116)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13293, 13286])).
% 25.17/16.57 tff(13295,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13296,plain,
% 25.17/16.57 (((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116)) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13297,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116))))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13296])).
% 25.17/16.57 tff(13298,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116)))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13297, 13295])).
% 25.17/16.57 tff(13299,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13300,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | v94(constB116) | (~v95(constB116)) | (~v104(constB116))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13299, 13298])).
% 25.17/16.57 tff(13301,plain,
% 25.17/16.57 (v94(constB116) | (~v95(constB116)) | (~v104(constB116))),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13300, 360, 13269])).
% 25.17/16.57 tff(13302,plain,
% 25.17/16.57 (v94(constB116) | (~v104(constB116))),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13301, 13294])).
% 25.17/16.57 tff(13303,plain,
% 25.17/16.57 (v94(constB116)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13302, 13277])).
% 25.17/16.57 tff(13304,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB115)) | v124(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB115)) | v124(constB115, bitIndex2))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13305,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB115)) | v124(constB115, bitIndex2))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13306,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB115)) | v124(constB115, bitIndex2)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13305, 13304])).
% 25.17/16.57 tff(13307,plain,
% 25.17/16.57 (v124(constB115, bitIndex2)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13306, 1273, 13222])).
% 25.17/16.57 tff(13308,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB115) | (~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB115) | (~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13309,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB115) | (~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13310,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB115) | (~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13309, 13308])).
% 25.17/16.57 tff(13311,plain,
% 25.17/16.57 ((~v124(constB115, bitIndex2)) | v121(constB115, bitIndex2)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13310, 1287, 13251])).
% 25.17/16.57 tff(13312,plain,
% 25.17/16.57 (v121(constB115, bitIndex2)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13311, 13307])).
% 25.17/16.57 tff(13313,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13314,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB115, constB116)) | (~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13315,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB115, constB116)) | (~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13314, 13313])).
% 25.17/16.57 tff(13316,plain,
% 25.17/16.57 ((~v121(constB115, bitIndex2)) | v123(constB116, bitIndex2)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13315, 1302, 13269])).
% 25.17/16.57 tff(13317,plain,
% 25.17/16.57 (v123(constB116, bitIndex2)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13316, 13312])).
% 25.17/16.57 tff(13318,plain,
% 25.17/16.57 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13319,plain,
% 25.17/16.57 ((v84(constB116, bitIndex2) | (~v94(constB116)) | (~v123(constB116, bitIndex2))) <=> (v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13320,plain,
% 25.17/16.57 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v94(constB116)) | (~v123(constB116, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116))))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13319])).
% 25.17/16.57 tff(13321,plain,
% 25.17/16.57 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v94(constB116)) | (~v123(constB116, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116)))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13320, 13318])).
% 25.17/16.57 tff(13322,plain,
% 25.17/16.57 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB116, bitIndex2) | (~v94(constB116)) | (~v123(constB116, bitIndex2)))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13323,plain,
% 25.17/16.57 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)) | (~v94(constB116))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13322, 13321])).
% 25.17/16.57 tff(13324,plain,
% 25.17/16.57 (v84(constB116, bitIndex2) | (~v94(constB116))),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13323, 1317, 13317])).
% 25.17/16.57 tff(13325,plain,
% 25.17/16.57 (v84(constB116, bitIndex2)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13324, 13303])).
% 25.17/16.57 tff(13326,plain,
% 25.17/16.57 ((~v1(constB117)) <=> (~v1(constB117))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13327,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 25.17/16.57 tff(13328,plain,
% 25.17/16.57 (~v1(constB117)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 25.17/16.57 tff(13329,plain,
% 25.17/16.57 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13330,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 25.17/16.57 tff(13331,plain,
% 25.17/16.57 (nextState(constB116, constB117)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13330, 13329])).
% 25.17/16.57 tff(13332,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13333,plain,
% 25.17/16.57 (((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13334,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13333])).
% 25.17/16.57 tff(13335,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13334, 13332])).
% 25.17/16.57 tff(13336,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13337,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13336, 13335])).
% 25.17/16.57 tff(13338,plain,
% 25.17/16.57 (~v95(constB117)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13337, 73, 13331, 13328])).
% 25.17/16.57 tff(13339,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13340,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13341,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 25.17/16.57 tff(13342,plain,
% 25.17/16.57 (v95(constB117) | (~v94(constB117))),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13341, 90, 13331])).
% 25.17/16.57 tff(13343,plain,
% 25.17/16.57 (~v94(constB117)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13342, 13338])).
% 25.17/16.57 tff(13344,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13345,plain,
% 25.17/16.57 (((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2)) <=> ((~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13346,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2)))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13345])).
% 25.17/16.57 tff(13347,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13346, 13344])).
% 25.17/16.57 tff(13348,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB116, constB117)) | (~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13349,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB116, bitIndex2)) | (~nextState(constB116, constB117)) | v94(constB117) | v84(constB117, bitIndex2)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13348, 13347])).
% 25.17/16.57 tff(13350,plain,
% 25.17/16.57 ((~v84(constB116, bitIndex2)) | v94(constB117) | v84(constB117, bitIndex2)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13349, 1353, 13331])).
% 25.17/16.57 tff(13351,plain,
% 25.17/16.57 ((~v84(constB116, bitIndex2)) | v84(constB117, bitIndex2)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13350, 13343])).
% 25.17/16.57 tff(13352,plain,
% 25.17/16.57 (v84(constB117, bitIndex2)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13351, 13325])).
% 25.17/16.57 tff(13353,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB115)) | (~v124(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB115)) | (~v124(constB115, bitIndex1)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13354,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB115)) | (~v124(constB115, bitIndex1)))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13355,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB115)) | (~v124(constB115, bitIndex1))),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13354, 13353])).
% 25.17/16.57 tff(13356,plain,
% 25.17/16.57 (~v124(constB115, bitIndex1)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13355, 1369, 13222])).
% 25.17/16.57 tff(13357,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13358,plain,
% 25.17/16.57 ((v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1))) <=> ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13359,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1)))),
% 25.17/16.57 inference(monotonicity,[status(thm)],[13358])).
% 25.17/16.57 tff(13360,plain,
% 25.17/16.57 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1))),
% 25.17/16.57 inference(transitivity,[status(thm)],[13359, 13357])).
% 25.17/16.57 tff(13361,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB115) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13362,plain,
% 25.17/16.57 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB115, bitIndex1)) | v26(constB115) | v124(constB115, bitIndex1)),
% 25.17/16.57 inference(modus_ponens,[status(thm)],[13361, 13360])).
% 25.17/16.57 tff(13363,plain,
% 25.17/16.57 ((~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13362, 476, 13251])).
% 25.17/16.57 tff(13364,plain,
% 25.17/16.57 (~v121(constB115, bitIndex1)),
% 25.17/16.57 inference(unit_resolution,[status(thm)],[13363, 13356])).
% 25.17/16.57 tff(13365,plain,
% 25.17/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))),
% 25.17/16.57 inference(rewrite,[status(thm)],[])).
% 25.17/16.57 tff(13366,plain,
% 25.17/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1)))),
% 25.17/16.57 inference(quant_inst,[status(thm)],[])).
% 25.17/16.57 tff(13367,plain,
% 25.26/16.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1))),
% 25.26/16.57 inference(modus_ponens,[status(thm)],[13366, 13365])).
% 25.26/16.57 tff(13368,plain,
% 25.26/16.57 (v121(constB115, bitIndex1) | (~v123(constB116, bitIndex1))),
% 25.26/16.57 inference(unit_resolution,[status(thm)],[13367, 494, 13269])).
% 25.26/16.57 tff(13369,plain,
% 25.26/16.57 (~v123(constB116, bitIndex1)),
% 25.26/16.57 inference(unit_resolution,[status(thm)],[13368, 13364])).
% 25.26/16.57 tff(13370,plain,
% 25.26/16.57 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 25.26/16.57 inference(rewrite,[status(thm)],[])).
% 25.26/16.57 tff(13371,plain,
% 25.26/16.57 (((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1)) <=> ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 25.26/16.57 inference(rewrite,[status(thm)],[])).
% 25.26/16.57 tff(13372,plain,
% 25.26/16.57 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116))))),
% 25.26/16.57 inference(monotonicity,[status(thm)],[13371])).
% 25.26/16.57 tff(13373,plain,
% 25.26/16.57 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116)))),
% 25.26/16.57 inference(transitivity,[status(thm)],[13372, 13370])).
% 25.26/16.57 tff(13374,plain,
% 25.26/16.57 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB116, bitIndex1)) | (~v94(constB116)) | v123(constB116, bitIndex1))),
% 25.26/16.57 inference(quant_inst,[status(thm)],[])).
% 25.26/16.57 tff(13375,plain,
% 25.26/16.57 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1) | (~v94(constB116))),
% 25.26/16.57 inference(modus_ponens,[status(thm)],[13374, 13373])).
% 25.26/16.57 tff(13376,plain,
% 25.26/16.57 ((~v84(constB116, bitIndex1)) | (~v94(constB116))),
% 25.26/16.57 inference(unit_resolution,[status(thm)],[13375, 509, 13369])).
% 25.26/16.57 tff(13377,plain,
% 25.26/16.57 (~v84(constB116, bitIndex1)),
% 25.26/16.57 inference(unit_resolution,[status(thm)],[13376, 13303])).
% 25.26/16.57 tff(13378,plain,
% 25.26/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 25.26/16.57 inference(rewrite,[status(thm)],[])).
% 25.26/16.57 tff(13379,plain,
% 25.26/16.57 (((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1))) <=> (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 25.26/16.57 inference(rewrite,[status(thm)],[])).
% 25.26/16.57 tff(13380,plain,
% 25.26/16.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1))))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13379])).
% 25.26/16.58 tff(13381,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 25.26/16.58 inference(transitivity,[status(thm)],[13380, 13378])).
% 25.26/16.58 tff(13382,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1)))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13383,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB116, bitIndex1) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex1))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 25.26/16.58 tff(13384,plain,
% 25.26/16.58 (v84(constB116, bitIndex1) | v94(constB117) | (~v84(constB117, bitIndex1))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13383, 126, 13331])).
% 25.26/16.58 tff(13385,plain,
% 25.26/16.58 (v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13384, 13343])).
% 25.26/16.58 tff(13386,plain,
% 25.26/16.58 (~v84(constB117, bitIndex1)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13385, 13377])).
% 25.26/16.58 tff(13387,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB115)) | (~v124(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB115)) | (~v124(constB115, bitIndex0)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13388,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB115)) | (~v124(constB115, bitIndex0)))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13389,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB115)) | (~v124(constB115, bitIndex0))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13388, 13387])).
% 25.26/16.58 tff(13390,plain,
% 25.26/16.58 (~v124(constB115, bitIndex0)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13389, 1410, 13222])).
% 25.26/16.58 tff(13391,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13392,plain,
% 25.26/16.58 ((v26(constB115) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0))) <=> ((~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13393,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB115) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0)))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13392])).
% 25.26/16.58 tff(13394,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB115) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0))),
% 25.26/16.58 inference(transitivity,[status(thm)],[13393, 13391])).
% 25.26/16.58 tff(13395,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB115) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0)))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13396,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB115, bitIndex0)) | v26(constB115) | v124(constB115, bitIndex0)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13395, 13394])).
% 25.26/16.58 tff(13397,plain,
% 25.26/16.58 ((~v121(constB115, bitIndex0)) | v124(constB115, bitIndex0)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13396, 890, 13251])).
% 25.26/16.58 tff(13398,plain,
% 25.26/16.58 (~v121(constB115, bitIndex0)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13397, 13390])).
% 25.26/16.58 tff(13399,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13400,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB115, constB116)) | v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0)))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13401,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB115, constB116)) | v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13400, 13399])).
% 25.26/16.58 tff(13402,plain,
% 25.26/16.58 (v121(constB115, bitIndex0) | (~v123(constB116, bitIndex0))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13401, 908, 13269])).
% 25.26/16.58 tff(13403,plain,
% 25.26/16.58 (~v123(constB116, bitIndex0)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13402, 13398])).
% 25.26/16.58 tff(13404,plain,
% 25.26/16.58 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13405,plain,
% 25.26/16.58 (((~v84(constB116, bitIndex0)) | (~v94(constB116)) | v123(constB116, bitIndex0)) <=> ((~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13406,plain,
% 25.26/16.58 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~v94(constB116)) | v123(constB116, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116))))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13405])).
% 25.26/16.58 tff(13407,plain,
% 25.26/16.58 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~v94(constB116)) | v123(constB116, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116)))),
% 25.26/16.58 inference(transitivity,[status(thm)],[13406, 13404])).
% 25.26/16.58 tff(13408,plain,
% 25.26/16.58 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB116, bitIndex0)) | (~v94(constB116)) | v123(constB116, bitIndex0))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13409,plain,
% 25.26/16.58 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0) | (~v94(constB116))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 25.26/16.58 tff(13410,plain,
% 25.26/16.58 ((~v84(constB116, bitIndex0)) | (~v94(constB116))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13409, 923, 13403])).
% 25.26/16.58 tff(13411,plain,
% 25.26/16.58 (~v84(constB116, bitIndex0)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13410, 13303])).
% 25.26/16.58 tff(13412,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13413,plain,
% 25.26/16.58 (((~nextState(constB116, constB117)) | v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0))) <=> (v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13414,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0))))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13413])).
% 25.26/16.58 tff(13415,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0)))),
% 25.26/16.58 inference(transitivity,[status(thm)],[13414, 13412])).
% 25.26/16.58 tff(13416,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB116, constB117)) | v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0)))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13417,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB116, bitIndex0) | (~nextState(constB116, constB117)) | v94(constB117) | (~v84(constB117, bitIndex0))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 25.26/16.58 tff(13418,plain,
% 25.26/16.58 (v84(constB116, bitIndex0) | v94(constB117) | (~v84(constB117, bitIndex0))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13417, 147, 13331])).
% 25.26/16.58 tff(13419,plain,
% 25.26/16.58 (v84(constB116, bitIndex0) | (~v84(constB117, bitIndex0))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13418, 13343])).
% 25.26/16.58 tff(13420,plain,
% 25.26/16.58 (~v84(constB117, bitIndex0)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13419, 13411])).
% 25.26/16.58 tff(13421,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13422,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13423,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13422, 13421])).
% 25.26/16.58 tff(13424,plain,
% 25.26/16.58 (v172(constB117)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13423, 1454, 13420, 13386, 13352])).
% 25.26/16.58 tff(13425,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB117) | (~v172(constB117)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB117) | (~v172(constB117)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13426,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB117) | (~v172(constB117)))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13427,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB117) | (~v172(constB117))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13426, 13425])).
% 25.26/16.58 tff(13428,plain,
% 25.26/16.58 (v109(constB117)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13427, 1468, 13424])).
% 25.26/16.58 tff(13429,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB117)) | v108(constB117))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB117)) | v108(constB117))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13430,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB117)) | v108(constB117))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13431,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB117)) | v108(constB117)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13430, 13429])).
% 25.26/16.58 tff(13432,plain,
% 25.26/16.58 (v108(constB117)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13431, 235, 13428])).
% 25.26/16.58 tff(13433,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB117) | (~v108(constB117)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB117) | (~v108(constB117)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13434,plain,
% 25.26/16.58 (((~v108(constB117)) | v107(constB117)) <=> (v107(constB117) | (~v108(constB117)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13435,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB117)) | v107(constB117))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB117) | (~v108(constB117))))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13434])).
% 25.26/16.58 tff(13436,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB117)) | v107(constB117))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB117) | (~v108(constB117)))),
% 25.26/16.58 inference(transitivity,[status(thm)],[13435, 13433])).
% 25.26/16.58 tff(13437,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB117)) | v107(constB117))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13438,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB117) | (~v108(constB117))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13437, 13436])).
% 25.26/16.58 tff(13439,plain,
% 25.26/16.58 (v107(constB117)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13438, 249, 13432])).
% 25.26/16.58 tff(13440,assumption,(v26(constB117)), introduced(assumption)).
% 25.26/16.58 tff(13441,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB117))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13442,plain,
% 25.26/16.58 ($false),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13441, 18, 13440])).
% 25.26/16.58 tff(13443,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 25.26/16.58 tff(13444,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | (~v107(constB117)) | v106(constB117))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13445,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13446,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | (~v107(constB117)) | v106(constB117)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13445, 13444])).
% 25.26/16.58 tff(13447,plain,
% 25.26/16.58 ((~v107(constB117)) | v106(constB117)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13446, 263, 13443])).
% 25.26/16.58 tff(13448,plain,
% 25.26/16.58 (v106(constB117)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13447, 13439])).
% 25.26/16.58 tff(13449,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB117) | (~v106(constB117)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB117) | (~v106(constB117)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13450,plain,
% 25.26/16.58 (((~v106(constB117)) | v102(constB117)) <=> (v102(constB117) | (~v106(constB117)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13451,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB117)) | v102(constB117))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB117) | (~v106(constB117))))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13450])).
% 25.26/16.58 tff(13452,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB117)) | v102(constB117))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB117) | (~v106(constB117)))),
% 25.26/16.58 inference(transitivity,[status(thm)],[13451, 13449])).
% 25.26/16.58 tff(13453,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB117)) | v102(constB117))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13454,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB117) | (~v106(constB117))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13453, 13452])).
% 25.26/16.58 tff(13455,plain,
% 25.26/16.58 (v102(constB117)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13454, 275, 13448])).
% 25.26/16.58 tff(13456,plain,
% 25.26/16.58 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13457,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 25.26/16.58 tff(13458,plain,
% 25.26/16.58 (nextState(constB117, constB118)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13457, 13456])).
% 25.26/16.58 tff(13459,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13460,plain,
% 25.26/16.58 (((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118)) <=> ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13461,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13460])).
% 25.26/16.58 tff(13462,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 25.26/16.58 inference(transitivity,[status(thm)],[13461, 13459])).
% 25.26/16.58 tff(13463,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13464,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13463, 13462])).
% 25.26/16.58 tff(13465,plain,
% 25.26/16.58 (v104(constB118) | (~v102(constB117))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13464, 295, 13458])).
% 25.26/16.58 tff(13466,plain,
% 25.26/16.58 (v104(constB118)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13465, 13455])).
% 25.26/16.58 tff(13467,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13468,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13469,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13468, 13467])).
% 25.26/16.58 tff(13470,plain,
% 25.26/16.58 (~v98(constB118)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13469, 313, 13458, 13328])).
% 25.26/16.58 tff(13471,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13472,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13473,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13472, 13471])).
% 25.26/16.58 tff(13474,plain,
% 25.26/16.58 (v96(constB118) | v98(constB118)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13473, 327, 13458])).
% 25.26/16.58 tff(13475,plain,
% 25.26/16.58 (v96(constB118)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13474, 13470])).
% 25.26/16.58 tff(13476,plain,
% 25.26/16.58 (v1(constB118) <=> v1(constB118)),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13477,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 25.26/16.58 tff(13478,plain,
% 25.26/16.58 (v1(constB118)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 25.26/16.58 tff(13479,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13480,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13481,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13480, 13479])).
% 25.26/16.58 tff(13482,plain,
% 25.26/16.58 (v95(constB118) | (~v96(constB118))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13481, 345, 13458, 13478])).
% 25.26/16.58 tff(13483,plain,
% 25.26/16.58 (v95(constB118)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13482, 13475])).
% 25.26/16.58 tff(13484,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13485,plain,
% 25.26/16.58 (((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118)) <=> ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13486,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118))))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13485])).
% 25.26/16.58 tff(13487,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118)))),
% 25.26/16.58 inference(transitivity,[status(thm)],[13486, 13484])).
% 25.26/16.58 tff(13488,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13489,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | v94(constB118) | (~v95(constB118)) | (~v104(constB118))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13488, 13487])).
% 25.26/16.58 tff(13490,plain,
% 25.26/16.58 (v94(constB118) | (~v95(constB118)) | (~v104(constB118))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13489, 360, 13458])).
% 25.26/16.58 tff(13491,plain,
% 25.26/16.58 (v94(constB118) | (~v104(constB118))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13490, 13483])).
% 25.26/16.58 tff(13492,plain,
% 25.26/16.58 (v94(constB118)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13491, 13466])).
% 25.26/16.58 tff(13493,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB117)) | v124(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB117)) | v124(constB117, bitIndex2))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13494,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB117)) | v124(constB117, bitIndex2))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13495,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB117)) | v124(constB117, bitIndex2)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13494, 13493])).
% 25.26/16.58 tff(13496,plain,
% 25.26/16.58 (v124(constB117, bitIndex2)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13495, 1539, 13424])).
% 25.26/16.58 tff(13497,plain,
% 25.26/16.58 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB117) | (~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB117) | (~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13498,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB117) | (~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13499,plain,
% 25.26/16.58 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB117) | (~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13498, 13497])).
% 25.26/16.58 tff(13500,plain,
% 25.26/16.58 ((~v124(constB117, bitIndex2)) | v121(constB117, bitIndex2)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13499, 1287, 13443])).
% 25.26/16.58 tff(13501,plain,
% 25.26/16.58 (v121(constB117, bitIndex2)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13500, 13496])).
% 25.26/16.58 tff(13502,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13503,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13504,plain,
% 25.26/16.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 25.26/16.58 tff(13505,plain,
% 25.26/16.58 ((~v121(constB117, bitIndex2)) | v123(constB118, bitIndex2)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13504, 1302, 13458])).
% 25.26/16.58 tff(13506,plain,
% 25.26/16.58 (v123(constB118, bitIndex2)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13505, 13501])).
% 25.26/16.58 tff(13507,plain,
% 25.26/16.58 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13508,plain,
% 25.26/16.58 ((v84(constB118, bitIndex2) | (~v94(constB118)) | (~v123(constB118, bitIndex2))) <=> (v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13509,plain,
% 25.26/16.58 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v94(constB118)) | (~v123(constB118, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118))))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13508])).
% 25.26/16.58 tff(13510,plain,
% 25.26/16.58 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v94(constB118)) | (~v123(constB118, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118)))),
% 25.26/16.58 inference(transitivity,[status(thm)],[13509, 13507])).
% 25.26/16.58 tff(13511,plain,
% 25.26/16.58 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB118, bitIndex2) | (~v94(constB118)) | (~v123(constB118, bitIndex2)))),
% 25.26/16.58 inference(quant_inst,[status(thm)],[])).
% 25.26/16.58 tff(13512,plain,
% 25.26/16.58 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)) | (~v94(constB118))),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 25.26/16.58 tff(13513,plain,
% 25.26/16.58 (v84(constB118, bitIndex2) | (~v94(constB118))),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13512, 1317, 13506])).
% 25.26/16.58 tff(13514,plain,
% 25.26/16.58 (v84(constB118, bitIndex2)),
% 25.26/16.58 inference(unit_resolution,[status(thm)],[13513, 13492])).
% 25.26/16.58 tff(13515,plain,
% 25.26/16.58 ((~v1(constB119)) <=> (~v1(constB119))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13516,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 25.26/16.58 tff(13517,plain,
% 25.26/16.58 (~v1(constB119)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13516, 13515])).
% 25.26/16.58 tff(13518,plain,
% 25.26/16.58 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13519,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 25.26/16.58 tff(13520,plain,
% 25.26/16.58 (nextState(constB118, constB119)),
% 25.26/16.58 inference(modus_ponens,[status(thm)],[13519, 13518])).
% 25.26/16.58 tff(13521,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13522,plain,
% 25.26/16.58 (((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 25.26/16.58 inference(rewrite,[status(thm)],[])).
% 25.26/16.58 tff(13523,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))))),
% 25.26/16.58 inference(monotonicity,[status(thm)],[13522])).
% 25.26/16.58 tff(13524,plain,
% 25.26/16.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13523, 13521])).
% 25.26/16.59 tff(13525,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13526,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 25.26/16.59 tff(13527,plain,
% 25.26/16.59 (~v95(constB119)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13526, 73, 13520, 13517])).
% 25.26/16.59 tff(13528,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13529,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13530,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13529, 13528])).
% 25.26/16.59 tff(13531,plain,
% 25.26/16.59 (v95(constB119) | (~v94(constB119))),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13530, 90, 13520])).
% 25.26/16.59 tff(13532,plain,
% 25.26/16.59 (~v94(constB119)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13531, 13527])).
% 25.26/16.59 tff(13533,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13534,plain,
% 25.26/16.59 (((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2)) <=> ((~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13535,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2)))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13534])).
% 25.26/16.59 tff(13536,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13535, 13533])).
% 25.26/16.59 tff(13537,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13538,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB118, bitIndex2)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex2)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13537, 13536])).
% 25.26/16.59 tff(13539,plain,
% 25.26/16.59 ((~v84(constB118, bitIndex2)) | v94(constB119) | v84(constB119, bitIndex2)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13538, 1353, 13520])).
% 25.26/16.59 tff(13540,plain,
% 25.26/16.59 ((~v84(constB118, bitIndex2)) | v84(constB119, bitIndex2)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13539, 13532])).
% 25.26/16.59 tff(13541,plain,
% 25.26/16.59 (v84(constB119, bitIndex2)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13540, 13514])).
% 25.26/16.59 tff(13542,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB117)) | (~v124(constB117, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB117)) | (~v124(constB117, bitIndex1)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13543,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB117)) | (~v124(constB117, bitIndex1)))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13544,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB117)) | (~v124(constB117, bitIndex1))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13543, 13542])).
% 25.26/16.59 tff(13545,plain,
% 25.26/16.59 (~v124(constB117, bitIndex1)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13544, 1595, 13424])).
% 25.26/16.59 tff(13546,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13547,plain,
% 25.26/16.59 ((v26(constB117) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1))) <=> ((~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13548,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB117) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1)))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13547])).
% 25.26/16.59 tff(13549,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB117) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13548, 13546])).
% 25.26/16.59 tff(13550,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB117) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1)))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13551,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB117, bitIndex1)) | v26(constB117) | v124(constB117, bitIndex1)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13550, 13549])).
% 25.26/16.59 tff(13552,plain,
% 25.26/16.59 ((~v121(constB117, bitIndex1)) | v124(constB117, bitIndex1)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13551, 476, 13443])).
% 25.26/16.59 tff(13553,plain,
% 25.26/16.59 (~v121(constB117, bitIndex1)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13552, 13545])).
% 25.26/16.59 tff(13554,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13555,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB117, constB118)) | v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1)))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13556,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB117, constB118)) | v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13555, 13554])).
% 25.26/16.59 tff(13557,plain,
% 25.26/16.59 (v121(constB117, bitIndex1) | (~v123(constB118, bitIndex1))),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13556, 494, 13458])).
% 25.26/16.59 tff(13558,plain,
% 25.26/16.59 (~v123(constB118, bitIndex1)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13557, 13553])).
% 25.26/16.59 tff(13559,plain,
% 25.26/16.59 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13560,plain,
% 25.26/16.59 (((~v84(constB118, bitIndex1)) | (~v94(constB118)) | v123(constB118, bitIndex1)) <=> ((~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13561,plain,
% 25.26/16.59 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~v94(constB118)) | v123(constB118, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118))))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13560])).
% 25.26/16.59 tff(13562,plain,
% 25.26/16.59 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~v94(constB118)) | v123(constB118, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118)))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13561, 13559])).
% 25.26/16.59 tff(13563,plain,
% 25.26/16.59 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB118, bitIndex1)) | (~v94(constB118)) | v123(constB118, bitIndex1))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13564,plain,
% 25.26/16.59 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1) | (~v94(constB118))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13563, 13562])).
% 25.26/16.59 tff(13565,plain,
% 25.26/16.59 ((~v84(constB118, bitIndex1)) | (~v94(constB118))),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13564, 509, 13558])).
% 25.26/16.59 tff(13566,plain,
% 25.26/16.59 (~v84(constB118, bitIndex1)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13565, 13492])).
% 25.26/16.59 tff(13567,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13568,plain,
% 25.26/16.59 (((~nextState(constB118, constB119)) | v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1))) <=> (v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13569,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1))))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13568])).
% 25.26/16.59 tff(13570,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1)))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13569, 13567])).
% 25.26/16.59 tff(13571,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB118, constB119)) | v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1)))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13572,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB118, bitIndex1) | (~nextState(constB118, constB119)) | v94(constB119) | (~v84(constB119, bitIndex1))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13571, 13570])).
% 25.26/16.59 tff(13573,plain,
% 25.26/16.59 (v84(constB118, bitIndex1) | v94(constB119) | (~v84(constB119, bitIndex1))),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13572, 126, 13520])).
% 25.26/16.59 tff(13574,plain,
% 25.26/16.59 (v84(constB118, bitIndex1) | (~v84(constB119, bitIndex1))),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13573, 13532])).
% 25.26/16.59 tff(13575,plain,
% 25.26/16.59 (~v84(constB119, bitIndex1)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13574, 13566])).
% 25.26/16.59 tff(13576,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB117)) | v124(constB117, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB117)) | v124(constB117, bitIndex0))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13577,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB117)) | v124(constB117, bitIndex0))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13578,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB117)) | v124(constB117, bitIndex0)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13577, 13576])).
% 25.26/16.59 tff(13579,plain,
% 25.26/16.59 (v124(constB117, bitIndex0)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13578, 1636, 13424])).
% 25.26/16.59 tff(13580,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB117) | (~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB117) | (~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13581,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB117) | (~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13582,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB117) | (~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13581, 13580])).
% 25.26/16.59 tff(13583,plain,
% 25.26/16.59 ((~v124(constB117, bitIndex0)) | v121(constB117, bitIndex0)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13582, 547, 13443])).
% 25.26/16.59 tff(13584,plain,
% 25.26/16.59 (v121(constB117, bitIndex0)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13583, 13579])).
% 25.26/16.59 tff(13585,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13586,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB117, constB118)) | (~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13587,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB117, constB118)) | (~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13586, 13585])).
% 25.26/16.59 tff(13588,plain,
% 25.26/16.59 ((~v121(constB117, bitIndex0)) | v123(constB118, bitIndex0)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13587, 562, 13458])).
% 25.26/16.59 tff(13589,plain,
% 25.26/16.59 (v123(constB118, bitIndex0)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13588, 13584])).
% 25.26/16.59 tff(13590,plain,
% 25.26/16.59 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13591,plain,
% 25.26/16.59 ((v84(constB118, bitIndex0) | (~v94(constB118)) | (~v123(constB118, bitIndex0))) <=> (v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13592,plain,
% 25.26/16.59 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v94(constB118)) | (~v123(constB118, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118))))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13591])).
% 25.26/16.59 tff(13593,plain,
% 25.26/16.59 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v94(constB118)) | (~v123(constB118, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118)))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13592, 13590])).
% 25.26/16.59 tff(13594,plain,
% 25.26/16.59 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB118, bitIndex0) | (~v94(constB118)) | (~v123(constB118, bitIndex0)))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13595,plain,
% 25.26/16.59 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)) | (~v94(constB118))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13594, 13593])).
% 25.26/16.59 tff(13596,plain,
% 25.26/16.59 (v84(constB118, bitIndex0) | (~v94(constB118))),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13595, 577, 13589])).
% 25.26/16.59 tff(13597,plain,
% 25.26/16.59 (v84(constB118, bitIndex0)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13596, 13492])).
% 25.26/16.59 tff(13598,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13599,plain,
% 25.26/16.59 (((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0)) <=> ((~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13600,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0)))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13599])).
% 25.26/16.59 tff(13601,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13600, 13598])).
% 25.26/16.59 tff(13602,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB118, constB119)) | (~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13603,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB118, bitIndex0)) | (~nextState(constB118, constB119)) | v94(constB119) | v84(constB119, bitIndex0)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13602, 13601])).
% 25.26/16.59 tff(13604,plain,
% 25.26/16.59 ((~v84(constB118, bitIndex0)) | v94(constB119) | v84(constB119, bitIndex0)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13603, 595, 13520])).
% 25.26/16.59 tff(13605,plain,
% 25.26/16.59 ((~v84(constB118, bitIndex0)) | v84(constB119, bitIndex0)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13604, 13532])).
% 25.26/16.59 tff(13606,plain,
% 25.26/16.59 (v84(constB119, bitIndex0)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13605, 13597])).
% 25.26/16.59 tff(13607,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13608,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13609,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13608, 13607])).
% 25.26/16.59 tff(13610,plain,
% 25.26/16.59 (v118(constB119)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13609, 1677, 13606, 13575, 13541])).
% 25.26/16.59 tff(13611,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB119)) | v108(constB119))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB119)) | v108(constB119))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13612,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB119)) | v108(constB119))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13613,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB119)) | v108(constB119)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13612, 13611])).
% 25.26/16.59 tff(13614,plain,
% 25.26/16.59 (v108(constB119)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13613, 1688, 13610])).
% 25.26/16.59 tff(13615,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB119) | (~v108(constB119)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB119) | (~v108(constB119)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13616,plain,
% 25.26/16.59 (((~v108(constB119)) | v107(constB119)) <=> (v107(constB119) | (~v108(constB119)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13617,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB119)) | v107(constB119))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB119) | (~v108(constB119))))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13616])).
% 25.26/16.59 tff(13618,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB119)) | v107(constB119))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB119) | (~v108(constB119)))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13617, 13615])).
% 25.26/16.59 tff(13619,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB119)) | v107(constB119))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13620,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB119) | (~v108(constB119))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13619, 13618])).
% 25.26/16.59 tff(13621,plain,
% 25.26/16.59 (v107(constB119)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13620, 249, 13614])).
% 25.26/16.59 tff(13622,assumption,(v26(constB119)), introduced(assumption)).
% 25.26/16.59 tff(13623,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB119))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13624,plain,
% 25.26/16.59 ($false),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13623, 18, 13622])).
% 25.26/16.59 tff(13625,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 25.26/16.59 tff(13626,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | v106(constB119) | (~v107(constB119)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13627,plain,
% 25.26/16.59 ((v26(constB119) | (~v107(constB119)) | v106(constB119)) <=> (v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13628,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | v106(constB119) | (~v107(constB119))))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13627])).
% 25.26/16.59 tff(13629,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13628, 13626])).
% 25.26/16.59 tff(13630,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13631,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 25.26/16.59 tff(13632,plain,
% 25.26/16.59 (v106(constB119) | (~v107(constB119))),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13631, 263, 13625])).
% 25.26/16.59 tff(13633,plain,
% 25.26/16.59 (v106(constB119)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13632, 13621])).
% 25.26/16.59 tff(13634,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB119) | (~v106(constB119)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB119) | (~v106(constB119)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13635,plain,
% 25.26/16.59 (((~v106(constB119)) | v102(constB119)) <=> (v102(constB119) | (~v106(constB119)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13636,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB119)) | v102(constB119))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB119) | (~v106(constB119))))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13635])).
% 25.26/16.59 tff(13637,plain,
% 25.26/16.59 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB119)) | v102(constB119))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB119) | (~v106(constB119)))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13636, 13634])).
% 25.26/16.59 tff(13638,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB119)) | v102(constB119))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13639,plain,
% 25.26/16.59 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB119) | (~v106(constB119))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13638, 13637])).
% 25.26/16.59 tff(13640,plain,
% 25.26/16.59 (v102(constB119)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13639, 275, 13633])).
% 25.26/16.59 tff(13641,plain,
% 25.26/16.59 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13642,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 25.26/16.59 tff(13643,plain,
% 25.26/16.59 (nextState(constB119, constB120)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13642, 13641])).
% 25.26/16.59 tff(13644,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13645,plain,
% 25.26/16.59 (((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120)) <=> ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13646,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13645])).
% 25.26/16.59 tff(13647,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13646, 13644])).
% 25.26/16.59 tff(13648,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13649,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13648, 13647])).
% 25.26/16.59 tff(13650,plain,
% 25.26/16.59 (v104(constB120) | (~v102(constB119))),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13649, 295, 13643])).
% 25.26/16.59 tff(13651,plain,
% 25.26/16.59 (v104(constB120)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13650, 13640])).
% 25.26/16.59 tff(13652,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13653,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13654,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13653, 13652])).
% 25.26/16.59 tff(13655,plain,
% 25.26/16.59 (~v98(constB120)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13654, 313, 13643, 13517])).
% 25.26/16.59 tff(13656,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13657,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13658,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13657, 13656])).
% 25.26/16.59 tff(13659,plain,
% 25.26/16.59 (v96(constB120) | v98(constB120)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13658, 327, 13643])).
% 25.26/16.59 tff(13660,plain,
% 25.26/16.59 (v96(constB120)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13659, 13655])).
% 25.26/16.59 tff(13661,plain,
% 25.26/16.59 (v1(constB120) <=> v1(constB120)),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13662,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 25.26/16.59 tff(13663,plain,
% 25.26/16.59 (v1(constB120)),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 25.26/16.59 tff(13664,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13665,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13666,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120))),
% 25.26/16.59 inference(modus_ponens,[status(thm)],[13665, 13664])).
% 25.26/16.59 tff(13667,plain,
% 25.26/16.59 (v95(constB120) | (~v96(constB120))),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13666, 345, 13643, 13663])).
% 25.26/16.59 tff(13668,plain,
% 25.26/16.59 (v95(constB120)),
% 25.26/16.59 inference(unit_resolution,[status(thm)],[13667, 13660])).
% 25.26/16.59 tff(13669,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13670,plain,
% 25.26/16.59 (((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120)) <=> ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 25.26/16.59 inference(rewrite,[status(thm)],[])).
% 25.26/16.59 tff(13671,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120))))),
% 25.26/16.59 inference(monotonicity,[status(thm)],[13670])).
% 25.26/16.59 tff(13672,plain,
% 25.26/16.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120)))),
% 25.26/16.59 inference(transitivity,[status(thm)],[13671, 13669])).
% 25.26/16.59 tff(13673,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))),
% 25.26/16.59 inference(quant_inst,[status(thm)],[])).
% 25.26/16.59 tff(13674,plain,
% 25.26/16.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | v94(constB120) | (~v95(constB120)) | (~v104(constB120))),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13673, 13672])).
% 25.26/16.60 tff(13675,plain,
% 25.26/16.60 (v94(constB120) | (~v95(constB120)) | (~v104(constB120))),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13674, 360, 13643])).
% 25.26/16.60 tff(13676,plain,
% 25.26/16.60 (v94(constB120) | (~v104(constB120))),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13675, 13668])).
% 25.26/16.60 tff(13677,plain,
% 25.26/16.60 (v94(constB120)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13676, 13651])).
% 25.26/16.60 tff(13678,plain,
% 25.26/16.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB119)) | v124(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB119)) | v124(constB119, bitIndex2))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13679,plain,
% 25.26/16.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB119)) | v124(constB119, bitIndex2))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13680,plain,
% 25.26/16.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB119)) | v124(constB119, bitIndex2)),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13679, 13678])).
% 25.26/16.60 tff(13681,plain,
% 25.26/16.60 (v124(constB119, bitIndex2)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13680, 1761, 13610])).
% 25.26/16.60 tff(13682,plain,
% 25.26/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB119) | (~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB119) | (~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13683,plain,
% 25.26/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB119) | (~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13684,plain,
% 25.26/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB119) | (~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2)),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13683, 13682])).
% 25.26/16.60 tff(13685,plain,
% 25.26/16.60 ((~v124(constB119, bitIndex2)) | v121(constB119, bitIndex2)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13684, 1287, 13625])).
% 25.26/16.60 tff(13686,plain,
% 25.26/16.60 (v121(constB119, bitIndex2)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13685, 13681])).
% 25.26/16.60 tff(13687,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13688,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13689,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2)),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13688, 13687])).
% 25.26/16.60 tff(13690,plain,
% 25.26/16.60 ((~v121(constB119, bitIndex2)) | v123(constB120, bitIndex2)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13689, 1302, 13643])).
% 25.26/16.60 tff(13691,plain,
% 25.26/16.60 (v123(constB120, bitIndex2)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13690, 13686])).
% 25.26/16.60 tff(13692,plain,
% 25.26/16.60 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120)))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13693,plain,
% 25.26/16.60 ((v84(constB120, bitIndex2) | (~v94(constB120)) | (~v123(constB120, bitIndex2))) <=> (v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120)))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13694,plain,
% 25.26/16.60 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v94(constB120)) | (~v123(constB120, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120))))),
% 25.26/16.60 inference(monotonicity,[status(thm)],[13693])).
% 25.26/16.60 tff(13695,plain,
% 25.26/16.60 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v94(constB120)) | (~v123(constB120, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120)))),
% 25.26/16.60 inference(transitivity,[status(thm)],[13694, 13692])).
% 25.26/16.60 tff(13696,plain,
% 25.26/16.60 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB120, bitIndex2) | (~v94(constB120)) | (~v123(constB120, bitIndex2)))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13697,plain,
% 25.26/16.60 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2)) | (~v94(constB120))),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13696, 13695])).
% 25.26/16.60 tff(13698,plain,
% 25.26/16.60 (v84(constB120, bitIndex2) | (~v94(constB120))),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13697, 1317, 13691])).
% 25.26/16.60 tff(13699,plain,
% 25.26/16.60 (v84(constB120, bitIndex2)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13698, 13677])).
% 25.26/16.60 tff(13700,plain,
% 25.26/16.60 ((~v1(constB121)) <=> (~v1(constB121))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13701,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 25.26/16.60 tff(13702,plain,
% 25.26/16.60 (~v1(constB121)),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13701, 13700])).
% 25.26/16.60 tff(13703,plain,
% 25.26/16.60 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13704,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 25.26/16.60 tff(13705,plain,
% 25.26/16.60 (nextState(constB120, constB121)),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13704, 13703])).
% 25.26/16.60 tff(13706,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13707,plain,
% 25.26/16.60 (((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13708,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))))),
% 25.26/16.60 inference(monotonicity,[status(thm)],[13707])).
% 25.26/16.60 tff(13709,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 25.26/16.60 inference(transitivity,[status(thm)],[13708, 13706])).
% 25.26/16.60 tff(13710,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13711,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 25.26/16.60 tff(13712,plain,
% 25.26/16.60 (~v95(constB121)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13711, 73, 13705, 13702])).
% 25.26/16.60 tff(13713,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13714,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13715,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121))),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 25.26/16.60 tff(13716,plain,
% 25.26/16.60 (v95(constB121) | (~v94(constB121))),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13715, 90, 13705])).
% 25.26/16.60 tff(13717,plain,
% 25.26/16.60 (~v94(constB121)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13716, 13712])).
% 25.26/16.60 tff(13718,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13719,plain,
% 25.26/16.60 (((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2)) <=> ((~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13720,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2)))),
% 25.26/16.60 inference(monotonicity,[status(thm)],[13719])).
% 25.26/16.60 tff(13721,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2))),
% 25.26/16.60 inference(transitivity,[status(thm)],[13720, 13718])).
% 25.26/16.60 tff(13722,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13723,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB120, bitIndex2)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex2)),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13722, 13721])).
% 25.26/16.60 tff(13724,plain,
% 25.26/16.60 ((~v84(constB120, bitIndex2)) | v94(constB121) | v84(constB121, bitIndex2)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13723, 1353, 13705])).
% 25.26/16.60 tff(13725,plain,
% 25.26/16.60 ((~v84(constB120, bitIndex2)) | v84(constB121, bitIndex2)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13724, 13717])).
% 25.26/16.60 tff(13726,plain,
% 25.26/16.60 (v84(constB121, bitIndex2)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13725, 13699])).
% 25.26/16.60 tff(13727,plain,
% 25.26/16.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB119)) | v124(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB119)) | v124(constB119, bitIndex1))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13728,plain,
% 25.26/16.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB119)) | v124(constB119, bitIndex1))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13729,plain,
% 25.26/16.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB119)) | v124(constB119, bitIndex1)),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13728, 13727])).
% 25.26/16.60 tff(13730,plain,
% 25.26/16.60 (v124(constB119, bitIndex1)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13729, 1817, 13610])).
% 25.26/16.60 tff(13731,plain,
% 25.26/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13732,plain,
% 25.26/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13733,plain,
% 25.26/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB119) | (~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1)),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13732, 13731])).
% 25.26/16.60 tff(13734,plain,
% 25.26/16.60 ((~v124(constB119, bitIndex1)) | v121(constB119, bitIndex1)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13733, 812, 13625])).
% 25.26/16.60 tff(13735,plain,
% 25.26/16.60 (v121(constB119, bitIndex1)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13734, 13730])).
% 25.26/16.60 tff(13736,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13737,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13738,plain,
% 25.26/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB119, constB120)) | (~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1)),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13737, 13736])).
% 25.26/16.60 tff(13739,plain,
% 25.26/16.60 ((~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13738, 827, 13643])).
% 25.26/16.60 tff(13740,plain,
% 25.26/16.60 (v123(constB120, bitIndex1)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13739, 13735])).
% 25.26/16.60 tff(13741,plain,
% 25.26/16.60 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13742,plain,
% 25.26/16.60 ((v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1))) <=> (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13743,plain,
% 25.26/16.60 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120))))),
% 25.26/16.60 inference(monotonicity,[status(thm)],[13742])).
% 25.26/16.60 tff(13744,plain,
% 25.26/16.60 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120)))),
% 25.26/16.60 inference(transitivity,[status(thm)],[13743, 13741])).
% 25.26/16.60 tff(13745,plain,
% 25.26/16.60 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1)))),
% 25.26/16.60 inference(quant_inst,[status(thm)],[])).
% 25.26/16.60 tff(13746,plain,
% 25.26/16.60 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)) | (~v94(constB120))),
% 25.26/16.60 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 25.26/16.60 tff(13747,plain,
% 25.26/16.60 (v84(constB120, bitIndex1) | (~v94(constB120))),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13746, 842, 13740])).
% 25.26/16.60 tff(13748,plain,
% 25.26/16.60 (v84(constB120, bitIndex1)),
% 25.26/16.60 inference(unit_resolution,[status(thm)],[13747, 13677])).
% 25.26/16.60 tff(13749,plain,
% 25.26/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 25.26/16.60 inference(rewrite,[status(thm)],[])).
% 25.26/16.60 tff(13750,plain,
% 25.26/16.60 (((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1)) <=> ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13751,plain,
% 25.29/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1)))),
% 25.29/16.60 inference(monotonicity,[status(thm)],[13750])).
% 25.29/16.60 tff(13752,plain,
% 25.29/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1))),
% 25.29/16.60 inference(transitivity,[status(thm)],[13751, 13749])).
% 25.29/16.60 tff(13753,plain,
% 25.29/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB120, constB121)) | (~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(13754,plain,
% 25.29/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB120, bitIndex1)) | (~nextState(constB120, constB121)) | v94(constB121) | v84(constB121, bitIndex1)),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 25.29/16.60 tff(13755,plain,
% 25.29/16.60 ((~v84(constB120, bitIndex1)) | v94(constB121) | v84(constB121, bitIndex1)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13754, 860, 13705])).
% 25.29/16.60 tff(13756,plain,
% 25.29/16.60 ((~v84(constB120, bitIndex1)) | v84(constB121, bitIndex1)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13755, 13717])).
% 25.29/16.60 tff(13757,plain,
% 25.29/16.60 (v84(constB121, bitIndex1)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13756, 13748])).
% 25.29/16.60 tff(13758,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB119)) | (~v124(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB119)) | (~v124(constB119, bitIndex0)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13759,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB119)) | (~v124(constB119, bitIndex0)))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(13760,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB119)) | (~v124(constB119, bitIndex0))),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[13759, 13758])).
% 25.29/16.60 tff(13761,plain,
% 25.29/16.60 (~v124(constB119, bitIndex0)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13760, 1855, 13610])).
% 25.29/16.60 tff(13762,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13763,plain,
% 25.29/16.60 ((v26(constB119) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0))) <=> ((~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13764,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB119) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0)))),
% 25.29/16.60 inference(monotonicity,[status(thm)],[13763])).
% 25.29/16.60 tff(13765,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB119) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0))),
% 25.29/16.60 inference(transitivity,[status(thm)],[13764, 13762])).
% 25.29/16.60 tff(13766,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB119) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0)))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(13767,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB119, bitIndex0)) | v26(constB119) | v124(constB119, bitIndex0)),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[13766, 13765])).
% 25.29/16.60 tff(13768,plain,
% 25.29/16.60 ((~v121(constB119, bitIndex0)) | v124(constB119, bitIndex0)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13767, 890, 13625])).
% 25.29/16.60 tff(13769,plain,
% 25.29/16.60 (~v121(constB119, bitIndex0)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13768, 13761])).
% 25.29/16.60 tff(13770,plain,
% 25.29/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13771,plain,
% 25.29/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB119, constB120)) | v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0)))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(13772,plain,
% 25.29/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB119, constB120)) | v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0))),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[13771, 13770])).
% 25.29/16.60 tff(13773,plain,
% 25.29/16.60 (v121(constB119, bitIndex0) | (~v123(constB120, bitIndex0))),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13772, 908, 13643])).
% 25.29/16.60 tff(13774,plain,
% 25.29/16.60 (~v123(constB120, bitIndex0)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13773, 13769])).
% 25.29/16.60 tff(13775,plain,
% 25.29/16.60 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13776,plain,
% 25.29/16.60 (((~v84(constB120, bitIndex0)) | (~v94(constB120)) | v123(constB120, bitIndex0)) <=> ((~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13777,plain,
% 25.29/16.60 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~v94(constB120)) | v123(constB120, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120))))),
% 25.29/16.60 inference(monotonicity,[status(thm)],[13776])).
% 25.29/16.60 tff(13778,plain,
% 25.29/16.60 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~v94(constB120)) | v123(constB120, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120)))),
% 25.29/16.60 inference(transitivity,[status(thm)],[13777, 13775])).
% 25.29/16.60 tff(13779,plain,
% 25.29/16.60 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB120, bitIndex0)) | (~v94(constB120)) | v123(constB120, bitIndex0))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(13780,plain,
% 25.29/16.60 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0) | (~v94(constB120))),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[13779, 13778])).
% 25.29/16.60 tff(13781,plain,
% 25.29/16.60 ((~v84(constB120, bitIndex0)) | (~v94(constB120))),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13780, 923, 13774])).
% 25.29/16.60 tff(13782,plain,
% 25.29/16.60 (~v84(constB120, bitIndex0)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13781, 13677])).
% 25.29/16.60 tff(13783,plain,
% 25.29/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13784,plain,
% 25.29/16.60 (((~nextState(constB120, constB121)) | v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0))) <=> (v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13785,plain,
% 25.29/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0))))),
% 25.29/16.60 inference(monotonicity,[status(thm)],[13784])).
% 25.29/16.60 tff(13786,plain,
% 25.29/16.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0)))),
% 25.29/16.60 inference(transitivity,[status(thm)],[13785, 13783])).
% 25.29/16.60 tff(13787,plain,
% 25.29/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB120, constB121)) | v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0)))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(13788,plain,
% 25.29/16.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB120, bitIndex0) | (~nextState(constB120, constB121)) | v94(constB121) | (~v84(constB121, bitIndex0))),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[13787, 13786])).
% 25.29/16.60 tff(13789,plain,
% 25.29/16.60 (v84(constB120, bitIndex0) | v94(constB121) | (~v84(constB121, bitIndex0))),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13788, 147, 13705])).
% 25.29/16.60 tff(13790,plain,
% 25.29/16.60 (v84(constB120, bitIndex0) | (~v84(constB121, bitIndex0))),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13789, 13717])).
% 25.29/16.60 tff(13791,plain,
% 25.29/16.60 (~v84(constB121, bitIndex0)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13790, 13782])).
% 25.29/16.60 tff(13792,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13793,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(13794,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121)),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[13793, 13792])).
% 25.29/16.60 tff(13795,plain,
% 25.29/16.60 (v119(constB121)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13794, 1899, 13791, 13757, 13726])).
% 25.29/16.60 tff(13796,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB121) | (~v119(constB121)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB121) | (~v119(constB121)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13797,plain,
% 25.29/16.60 (((~v119(constB121)) | v107(constB121)) <=> (v107(constB121) | (~v119(constB121)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13798,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB121)) | v107(constB121))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB121) | (~v119(constB121))))),
% 25.29/16.60 inference(monotonicity,[status(thm)],[13797])).
% 25.29/16.60 tff(13799,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB121)) | v107(constB121))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB121) | (~v119(constB121)))),
% 25.29/16.60 inference(transitivity,[status(thm)],[13798, 13796])).
% 25.29/16.60 tff(13800,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB121)) | v107(constB121))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(13801,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB121) | (~v119(constB121))),
% 25.29/16.60 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 25.29/16.60 tff(13802,plain,
% 25.29/16.60 (v107(constB121)),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13801, 1910, 13795])).
% 25.29/16.60 tff(13803,assumption,(v26(constB121)), introduced(assumption)).
% 25.29/16.60 tff(13804,plain,
% 25.29/16.60 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB121))),
% 25.29/16.60 inference(quant_inst,[status(thm)],[])).
% 25.29/16.60 tff(13805,plain,
% 25.29/16.60 ($false),
% 25.29/16.60 inference(unit_resolution,[status(thm)],[13804, 18, 13803])).
% 25.29/16.60 tff(13806,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 25.29/16.60 tff(13807,plain,
% 25.29/16.60 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13808,plain,
% 25.29/16.60 ((v26(constB121) | (~v107(constB121)) | v106(constB121)) <=> (v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 25.29/16.60 inference(rewrite,[status(thm)],[])).
% 25.29/16.60 tff(13809,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121))))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13808])).
% 25.29/16.61 tff(13810,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13809, 13807])).
% 25.29/16.61 tff(13811,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13812,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13811, 13810])).
% 25.29/16.61 tff(13813,plain,
% 25.29/16.61 (v106(constB121) | (~v107(constB121))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13812, 263, 13806])).
% 25.29/16.61 tff(13814,plain,
% 25.29/16.61 (v106(constB121)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13813, 13802])).
% 25.29/16.61 tff(13815,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB121) | (~v106(constB121)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB121) | (~v106(constB121)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13816,plain,
% 25.29/16.61 (((~v106(constB121)) | v102(constB121)) <=> (v102(constB121) | (~v106(constB121)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13817,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB121)) | v102(constB121))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB121) | (~v106(constB121))))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13816])).
% 25.29/16.61 tff(13818,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB121)) | v102(constB121))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB121) | (~v106(constB121)))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13817, 13815])).
% 25.29/16.61 tff(13819,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB121)) | v102(constB121))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13820,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB121) | (~v106(constB121))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13819, 13818])).
% 25.29/16.61 tff(13821,plain,
% 25.29/16.61 (v102(constB121)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13820, 275, 13814])).
% 25.29/16.61 tff(13822,plain,
% 25.29/16.61 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13823,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 25.29/16.61 tff(13824,plain,
% 25.29/16.61 (nextState(constB121, constB122)),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13823, 13822])).
% 25.29/16.61 tff(13825,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13826,plain,
% 25.29/16.61 (((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122)) <=> ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13827,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13826])).
% 25.29/16.61 tff(13828,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13827, 13825])).
% 25.29/16.61 tff(13829,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13830,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13829, 13828])).
% 25.29/16.61 tff(13831,plain,
% 25.29/16.61 (v104(constB122) | (~v102(constB121))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13830, 295, 13824])).
% 25.29/16.61 tff(13832,plain,
% 25.29/16.61 (v104(constB122)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13831, 13821])).
% 25.29/16.61 tff(13833,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13834,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13835,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13834, 13833])).
% 25.29/16.61 tff(13836,plain,
% 25.29/16.61 (~v98(constB122)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13835, 313, 13824, 13702])).
% 25.29/16.61 tff(13837,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13838,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13839,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122)),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13838, 13837])).
% 25.29/16.61 tff(13840,plain,
% 25.29/16.61 (v96(constB122) | v98(constB122)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13839, 327, 13824])).
% 25.29/16.61 tff(13841,plain,
% 25.29/16.61 (v96(constB122)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13840, 13836])).
% 25.29/16.61 tff(13842,plain,
% 25.29/16.61 (v1(constB122) <=> v1(constB122)),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13843,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 25.29/16.61 tff(13844,plain,
% 25.29/16.61 (v1(constB122)),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13843, 13842])).
% 25.29/16.61 tff(13845,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13846,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13847,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13846, 13845])).
% 25.29/16.61 tff(13848,plain,
% 25.29/16.61 (v95(constB122) | (~v96(constB122))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13847, 345, 13824, 13844])).
% 25.29/16.61 tff(13849,plain,
% 25.29/16.61 (v95(constB122)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13848, 13841])).
% 25.29/16.61 tff(13850,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13851,plain,
% 25.29/16.61 (((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122)) <=> ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13852,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122))))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13851])).
% 25.29/16.61 tff(13853,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122)))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13852, 13850])).
% 25.29/16.61 tff(13854,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13855,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | v94(constB122) | (~v95(constB122)) | (~v104(constB122))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13854, 13853])).
% 25.29/16.61 tff(13856,plain,
% 25.29/16.61 (v94(constB122) | (~v95(constB122)) | (~v104(constB122))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13855, 360, 13824])).
% 25.29/16.61 tff(13857,plain,
% 25.29/16.61 (v94(constB122) | (~v104(constB122))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13856, 13849])).
% 25.29/16.61 tff(13858,plain,
% 25.29/16.61 (v94(constB122)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13857, 13832])).
% 25.29/16.61 tff(13859,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB121)) | (~v84(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB121)) | (~v84(constB121, bitIndex2)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13860,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB121)) | (~v84(constB121, bitIndex2)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13861,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB121)) | (~v84(constB121, bitIndex2))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 25.29/16.61 tff(13862,plain,
% 25.29/16.61 (~v115(constB121)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13861, 1974, 13726])).
% 25.29/16.61 tff(13863,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB121)) | (~v84(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB121)) | (~v84(constB121, bitIndex2)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13864,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB121)) | (~v84(constB121, bitIndex2)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13865,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB121)) | (~v84(constB121, bitIndex2))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13864, 13863])).
% 25.29/16.61 tff(13866,plain,
% 25.29/16.61 (~v116(constB121)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13865, 1985, 13726])).
% 25.29/16.61 tff(13867,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB121)) | (~v84(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB121)) | (~v84(constB121, bitIndex1)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13868,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB121)) | (~v84(constB121, bitIndex1)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13869,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB121)) | (~v84(constB121, bitIndex1))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 25.29/16.61 tff(13870,plain,
% 25.29/16.61 (~v113(constB121)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13869, 1996, 13757])).
% 25.29/16.61 tff(13871,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB121)) | (~v84(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB121)) | (~v84(constB121, bitIndex1)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13872,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB121)) | (~v84(constB121, bitIndex1)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13873,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB121)) | (~v84(constB121, bitIndex1))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13872, 13871])).
% 25.29/16.61 tff(13874,plain,
% 25.29/16.61 (~v118(constB121)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13873, 2007, 13757])).
% 25.29/16.61 tff(13875,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB121)) | (~v84(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB121)) | (~v84(constB121, bitIndex1)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13876,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB121)) | (~v84(constB121, bitIndex1)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13877,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB121)) | (~v84(constB121, bitIndex1))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13876, 13875])).
% 25.29/16.61 tff(13878,plain,
% 25.29/16.61 (~v172(constB121)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13877, 2029, 13757])).
% 25.29/16.61 tff(13879,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB121)) | (~v84(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB121)) | (~v84(constB121, bitIndex1)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13880,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB121)) | (~v84(constB121, bitIndex1)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13881,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB121)) | (~v84(constB121, bitIndex1))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13880, 13879])).
% 25.29/16.61 tff(13882,plain,
% 25.29/16.61 (~v145(constB121)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13881, 2018, 13757])).
% 25.29/16.61 tff(13883,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13884,plain,
% 25.29/16.61 ((v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex2))) <=> ((~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13885,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13884])).
% 25.29/16.61 tff(13886,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13885, 13883])).
% 25.29/16.61 tff(13887,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex2)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13888,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB121, bitIndex2)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13887, 13886])).
% 25.29/16.61 tff(13889,plain,
% 25.29/16.61 (~v124(constB121, bitIndex2)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13888, 2043, 13882, 13878, 13874, 13870, 13866, 13862])).
% 25.29/16.61 tff(13890,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13891,plain,
% 25.29/16.61 ((v26(constB121) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2))) <=> ((~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13892,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB121) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2)))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13891])).
% 25.29/16.61 tff(13893,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB121) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13892, 13890])).
% 25.29/16.61 tff(13894,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB121) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13895,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB121, bitIndex2)) | v26(constB121) | v124(constB121, bitIndex2)),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13894, 13893])).
% 25.29/16.61 tff(13896,plain,
% 25.29/16.61 ((~v121(constB121, bitIndex2)) | v124(constB121, bitIndex2)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13895, 390, 13806])).
% 25.29/16.61 tff(13897,plain,
% 25.29/16.61 (~v121(constB121, bitIndex2)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13896, 13889])).
% 25.29/16.61 tff(13898,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13899,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13900,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13899, 13898])).
% 25.29/16.61 tff(13901,plain,
% 25.29/16.61 (v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13900, 408, 13824])).
% 25.29/16.61 tff(13902,plain,
% 25.29/16.61 (~v123(constB122, bitIndex2)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13901, 13897])).
% 25.29/16.61 tff(13903,plain,
% 25.29/16.61 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13904,plain,
% 25.29/16.61 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13905,plain,
% 25.29/16.61 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2) | (~v94(constB122))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13904, 13903])).
% 25.29/16.61 tff(13906,plain,
% 25.29/16.61 ((~v84(constB122, bitIndex2)) | (~v94(constB122))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13905, 423, 13902])).
% 25.29/16.61 tff(13907,plain,
% 25.29/16.61 (~v84(constB122, bitIndex2)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13906, 13858])).
% 25.29/16.61 tff(13908,plain,
% 25.29/16.61 ((~v1(constB123)) <=> (~v1(constB123))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13909,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 25.29/16.61 tff(13910,plain,
% 25.29/16.61 (~v1(constB123)),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13909, 13908])).
% 25.29/16.61 tff(13911,plain,
% 25.29/16.61 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13912,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 25.29/16.61 tff(13913,plain,
% 25.29/16.61 (nextState(constB122, constB123)),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13912, 13911])).
% 25.29/16.61 tff(13914,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13915,plain,
% 25.29/16.61 (((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13916,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13915])).
% 25.29/16.61 tff(13917,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13916, 13914])).
% 25.29/16.61 tff(13918,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13919,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13918, 13917])).
% 25.29/16.61 tff(13920,plain,
% 25.29/16.61 (~v95(constB123)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13919, 73, 13913, 13910])).
% 25.29/16.61 tff(13921,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13922,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13923,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13922, 13921])).
% 25.29/16.61 tff(13924,plain,
% 25.29/16.61 (v95(constB123) | (~v94(constB123))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13923, 90, 13913])).
% 25.29/16.61 tff(13925,plain,
% 25.29/16.61 (~v94(constB123)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13924, 13920])).
% 25.29/16.61 tff(13926,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13927,plain,
% 25.29/16.61 (((~nextState(constB122, constB123)) | v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2))) <=> (v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13928,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2))))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13927])).
% 25.29/16.61 tff(13929,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2)))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13928, 13926])).
% 25.29/16.61 tff(13930,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13931,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB122, bitIndex2) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex2))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13930, 13929])).
% 25.29/16.61 tff(13932,plain,
% 25.29/16.61 (v84(constB122, bitIndex2) | v94(constB123) | (~v84(constB123, bitIndex2))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13931, 105, 13913])).
% 25.29/16.61 tff(13933,plain,
% 25.29/16.61 (v84(constB122, bitIndex2) | (~v84(constB123, bitIndex2))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13932, 13925])).
% 25.29/16.61 tff(13934,plain,
% 25.29/16.61 (~v84(constB123, bitIndex2)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13933, 13907])).
% 25.29/16.61 tff(13935,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13936,plain,
% 25.29/16.61 ((v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex1))) <=> ((~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13937,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13936])).
% 25.29/16.61 tff(13938,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13937, 13935])).
% 25.29/16.61 tff(13939,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~v124(constB121, bitIndex1)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13940,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB121, bitIndex1)) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13939, 13938])).
% 25.29/16.61 tff(13941,plain,
% 25.29/16.61 (~v124(constB121, bitIndex1)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13940, 2105, 13882, 13878, 13874, 13870, 13866, 13862])).
% 25.29/16.61 tff(13942,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13943,plain,
% 25.29/16.61 ((v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1))) <=> ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13944,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1)))),
% 25.29/16.61 inference(monotonicity,[status(thm)],[13943])).
% 25.29/16.61 tff(13945,plain,
% 25.29/16.61 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1))),
% 25.29/16.61 inference(transitivity,[status(thm)],[13944, 13942])).
% 25.29/16.61 tff(13946,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB121) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13947,plain,
% 25.29/16.61 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB121, bitIndex1)) | v26(constB121) | v124(constB121, bitIndex1)),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13946, 13945])).
% 25.29/16.61 tff(13948,plain,
% 25.29/16.61 ((~v121(constB121, bitIndex1)) | v124(constB121, bitIndex1)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13947, 476, 13806])).
% 25.29/16.61 tff(13949,plain,
% 25.29/16.61 (~v121(constB121, bitIndex1)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13948, 13941])).
% 25.29/16.61 tff(13950,plain,
% 25.29/16.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13951,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 25.29/16.61 inference(quant_inst,[status(thm)],[])).
% 25.29/16.61 tff(13952,plain,
% 25.29/16.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB121, constB122)) | v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1))),
% 25.29/16.61 inference(modus_ponens,[status(thm)],[13951, 13950])).
% 25.29/16.61 tff(13953,plain,
% 25.29/16.61 (v121(constB121, bitIndex1) | (~v123(constB122, bitIndex1))),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13952, 494, 13824])).
% 25.29/16.61 tff(13954,plain,
% 25.29/16.61 (~v123(constB122, bitIndex1)),
% 25.29/16.61 inference(unit_resolution,[status(thm)],[13953, 13949])).
% 25.29/16.61 tff(13955,plain,
% 25.29/16.61 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13956,plain,
% 25.29/16.61 (((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1)) <=> ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 25.29/16.61 inference(rewrite,[status(thm)],[])).
% 25.29/16.61 tff(13957,plain,
% 25.29/16.61 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122))))),
% 25.29/16.62 inference(monotonicity,[status(thm)],[13956])).
% 25.29/16.62 tff(13958,plain,
% 25.29/16.62 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122)))),
% 25.29/16.62 inference(transitivity,[status(thm)],[13957, 13955])).
% 25.29/16.62 tff(13959,plain,
% 25.29/16.62 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(13960,plain,
% 25.29/16.62 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1) | (~v94(constB122))),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[13959, 13958])).
% 25.29/16.62 tff(13961,plain,
% 25.29/16.62 ((~v84(constB122, bitIndex1)) | (~v94(constB122))),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13960, 509, 13954])).
% 25.29/16.62 tff(13962,plain,
% 25.29/16.62 (~v84(constB122, bitIndex1)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13961, 13858])).
% 25.29/16.62 tff(13963,plain,
% 25.29/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13964,plain,
% 25.29/16.62 (((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1))) <=> (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13965,plain,
% 25.29/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1))))),
% 25.29/16.62 inference(monotonicity,[status(thm)],[13964])).
% 25.29/16.62 tff(13966,plain,
% 25.29/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 25.29/16.62 inference(transitivity,[status(thm)],[13965, 13963])).
% 25.29/16.62 tff(13967,plain,
% 25.29/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB122, constB123)) | v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1)))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(13968,plain,
% 25.29/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB122, bitIndex1) | (~nextState(constB122, constB123)) | v94(constB123) | (~v84(constB123, bitIndex1))),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[13967, 13966])).
% 25.29/16.62 tff(13969,plain,
% 25.29/16.62 (v84(constB122, bitIndex1) | v94(constB123) | (~v84(constB123, bitIndex1))),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13968, 126, 13913])).
% 25.29/16.62 tff(13970,plain,
% 25.29/16.62 (v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1))),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13969, 13925])).
% 25.29/16.62 tff(13971,plain,
% 25.29/16.62 (~v84(constB123, bitIndex1)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13970, 13962])).
% 25.29/16.62 tff(13972,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13973,plain,
% 25.29/16.62 ((v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | v124(constB121, bitIndex0)) <=> (v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13974,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | v124(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)))),
% 25.29/16.62 inference(monotonicity,[status(thm)],[13973])).
% 25.29/16.62 tff(13975,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | v124(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121))),
% 25.29/16.62 inference(transitivity,[status(thm)],[13974, 13972])).
% 25.29/16.62 tff(13976,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | v124(constB121, bitIndex0))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(13977,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB121, bitIndex0) | v172(constB121) | v145(constB121) | v118(constB121) | v116(constB121) | v115(constB121) | v113(constB121)),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[13976, 13975])).
% 25.29/16.62 tff(13978,plain,
% 25.29/16.62 (v124(constB121, bitIndex0)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13977, 2152, 13882, 13878, 13874, 13870, 13866, 13862])).
% 25.29/16.62 tff(13979,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB121) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB121) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13980,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB121) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(13981,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB121) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0)),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[13980, 13979])).
% 25.29/16.62 tff(13982,plain,
% 25.29/16.62 ((~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13981, 547, 13806])).
% 25.29/16.62 tff(13983,plain,
% 25.29/16.62 (v121(constB121, bitIndex0)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13982, 13978])).
% 25.29/16.62 tff(13984,plain,
% 25.29/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13985,plain,
% 25.29/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB121, constB122)) | (~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(13986,plain,
% 25.29/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB121, constB122)) | (~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0)),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[13985, 13984])).
% 25.29/16.62 tff(13987,plain,
% 25.29/16.62 ((~v121(constB121, bitIndex0)) | v123(constB122, bitIndex0)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13986, 562, 13824])).
% 25.29/16.62 tff(13988,plain,
% 25.29/16.62 (v123(constB122, bitIndex0)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13987, 13983])).
% 25.29/16.62 tff(13989,plain,
% 25.29/16.62 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13990,plain,
% 25.29/16.62 ((v84(constB122, bitIndex0) | (~v94(constB122)) | (~v123(constB122, bitIndex0))) <=> (v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13991,plain,
% 25.29/16.62 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v94(constB122)) | (~v123(constB122, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122))))),
% 25.29/16.62 inference(monotonicity,[status(thm)],[13990])).
% 25.29/16.62 tff(13992,plain,
% 25.29/16.62 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v94(constB122)) | (~v123(constB122, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122)))),
% 25.29/16.62 inference(transitivity,[status(thm)],[13991, 13989])).
% 25.29/16.62 tff(13993,plain,
% 25.29/16.62 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB122, bitIndex0) | (~v94(constB122)) | (~v123(constB122, bitIndex0)))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(13994,plain,
% 25.29/16.62 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)) | (~v94(constB122))),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[13993, 13992])).
% 25.29/16.62 tff(13995,plain,
% 25.29/16.62 (v84(constB122, bitIndex0) | (~v94(constB122))),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13994, 577, 13988])).
% 25.29/16.62 tff(13996,plain,
% 25.29/16.62 (v84(constB122, bitIndex0)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[13995, 13858])).
% 25.29/16.62 tff(13997,plain,
% 25.29/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13998,plain,
% 25.29/16.62 (((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0)) <=> ((~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(13999,plain,
% 25.29/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0)))),
% 25.29/16.62 inference(monotonicity,[status(thm)],[13998])).
% 25.29/16.62 tff(14000,plain,
% 25.29/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0))),
% 25.29/16.62 inference(transitivity,[status(thm)],[13999, 13997])).
% 25.29/16.62 tff(14001,plain,
% 25.29/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB122, constB123)) | (~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(14002,plain,
% 25.29/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB122, bitIndex0)) | (~nextState(constB122, constB123)) | v94(constB123) | v84(constB123, bitIndex0)),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[14001, 14000])).
% 25.29/16.62 tff(14003,plain,
% 25.29/16.62 ((~v84(constB122, bitIndex0)) | v94(constB123) | v84(constB123, bitIndex0)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14002, 595, 13913])).
% 25.29/16.62 tff(14004,plain,
% 25.29/16.62 ((~v84(constB122, bitIndex0)) | v84(constB123, bitIndex0)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14003, 13925])).
% 25.29/16.62 tff(14005,plain,
% 25.29/16.62 (v84(constB123, bitIndex0)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14004, 13996])).
% 25.29/16.62 tff(14006,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14007,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(14008,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123)),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[14007, 14006])).
% 25.29/16.62 tff(14009,plain,
% 25.29/16.62 (v145(constB123)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14008, 614, 14005, 13971, 13934])).
% 25.29/16.62 tff(14010,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB123) | (~v145(constB123)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB123) | (~v145(constB123)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14011,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB123) | (~v145(constB123)))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(14012,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB123) | (~v145(constB123))),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[14011, 14010])).
% 25.29/16.62 tff(14013,plain,
% 25.29/16.62 (v112(constB123)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14012, 677, 14009])).
% 25.29/16.62 tff(14014,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB123)) | v111(constB123))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB123)) | v111(constB123))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14015,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB123)) | v111(constB123))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(14016,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB123)) | v111(constB123)),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[14015, 14014])).
% 25.29/16.62 tff(14017,plain,
% 25.29/16.62 (v111(constB123)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14016, 193, 14013])).
% 25.29/16.62 tff(14018,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB123) | (~v111(constB123)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB123) | (~v111(constB123)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14019,plain,
% 25.29/16.62 (((~v111(constB123)) | v110(constB123)) <=> (v110(constB123) | (~v111(constB123)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14020,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB123)) | v110(constB123))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB123) | (~v111(constB123))))),
% 25.29/16.62 inference(monotonicity,[status(thm)],[14019])).
% 25.29/16.62 tff(14021,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB123)) | v110(constB123))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB123) | (~v111(constB123)))),
% 25.29/16.62 inference(transitivity,[status(thm)],[14020, 14018])).
% 25.29/16.62 tff(14022,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB123)) | v110(constB123))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(14023,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB123) | (~v111(constB123))),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[14022, 14021])).
% 25.29/16.62 tff(14024,plain,
% 25.29/16.62 (v110(constB123)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14023, 207, 14017])).
% 25.29/16.62 tff(14025,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB123) | (~v110(constB123)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB123) | (~v110(constB123)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14026,plain,
% 25.29/16.62 (((~v110(constB123)) | v109(constB123)) <=> (v109(constB123) | (~v110(constB123)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14027,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB123)) | v109(constB123))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB123) | (~v110(constB123))))),
% 25.29/16.62 inference(monotonicity,[status(thm)],[14026])).
% 25.29/16.62 tff(14028,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB123)) | v109(constB123))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB123) | (~v110(constB123)))),
% 25.29/16.62 inference(transitivity,[status(thm)],[14027, 14025])).
% 25.29/16.62 tff(14029,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB123)) | v109(constB123))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(14030,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB123) | (~v110(constB123))),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[14029, 14028])).
% 25.29/16.62 tff(14031,plain,
% 25.29/16.62 (v109(constB123)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14030, 221, 14024])).
% 25.29/16.62 tff(14032,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB123)) | v108(constB123))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB123)) | v108(constB123))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14033,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB123)) | v108(constB123))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(14034,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB123)) | v108(constB123)),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[14033, 14032])).
% 25.29/16.62 tff(14035,plain,
% 25.29/16.62 (v108(constB123)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14034, 235, 14031])).
% 25.29/16.62 tff(14036,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB123)) | v107(constB123))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB123)) | v107(constB123))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14037,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB123)) | v107(constB123))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(14038,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB123)) | v107(constB123)),
% 25.29/16.62 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 25.29/16.62 tff(14039,plain,
% 25.29/16.62 (v107(constB123)),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14038, 249, 14035])).
% 25.29/16.62 tff(14040,assumption,(v26(constB123)), introduced(assumption)).
% 25.29/16.62 tff(14041,plain,
% 25.29/16.62 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB123))),
% 25.29/16.62 inference(quant_inst,[status(thm)],[])).
% 25.29/16.62 tff(14042,plain,
% 25.29/16.62 ($false),
% 25.29/16.62 inference(unit_resolution,[status(thm)],[14041, 18, 14040])).
% 25.29/16.62 tff(14043,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 25.29/16.62 tff(14044,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | v106(constB123) | (~v107(constB123)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | v106(constB123) | (~v107(constB123)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14045,plain,
% 25.29/16.62 ((v26(constB123) | (~v107(constB123)) | v106(constB123)) <=> (v26(constB123) | v106(constB123) | (~v107(constB123)))),
% 25.29/16.62 inference(rewrite,[status(thm)],[])).
% 25.29/16.62 tff(14046,plain,
% 25.29/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | v106(constB123) | (~v107(constB123))))),
% 25.31/16.62 inference(monotonicity,[status(thm)],[14045])).
% 25.31/16.62 tff(14047,plain,
% 25.31/16.62 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | v106(constB123) | (~v107(constB123)))),
% 25.31/16.62 inference(transitivity,[status(thm)],[14046, 14044])).
% 25.31/16.62 tff(14048,plain,
% 25.31/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))),
% 25.31/16.62 inference(quant_inst,[status(thm)],[])).
% 25.31/16.62 tff(14049,plain,
% 25.31/16.62 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | v106(constB123) | (~v107(constB123))),
% 25.31/16.62 inference(modus_ponens,[status(thm)],[14048, 14047])).
% 25.31/16.62 tff(14050,plain,
% 25.31/16.62 (v106(constB123) | (~v107(constB123))),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14049, 263, 14043])).
% 25.31/16.62 tff(14051,plain,
% 25.31/16.62 (v106(constB123)),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14050, 14039])).
% 25.31/16.62 tff(14052,plain,
% 25.31/16.62 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB123) | (~v106(constB123)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB123) | (~v106(constB123)))),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14053,plain,
% 25.31/16.62 (((~v106(constB123)) | v102(constB123)) <=> (v102(constB123) | (~v106(constB123)))),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14054,plain,
% 25.31/16.62 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB123)) | v102(constB123))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB123) | (~v106(constB123))))),
% 25.31/16.62 inference(monotonicity,[status(thm)],[14053])).
% 25.31/16.62 tff(14055,plain,
% 25.31/16.62 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB123)) | v102(constB123))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB123) | (~v106(constB123)))),
% 25.31/16.62 inference(transitivity,[status(thm)],[14054, 14052])).
% 25.31/16.62 tff(14056,plain,
% 25.31/16.62 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB123)) | v102(constB123))),
% 25.31/16.62 inference(quant_inst,[status(thm)],[])).
% 25.31/16.62 tff(14057,plain,
% 25.31/16.62 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB123) | (~v106(constB123))),
% 25.31/16.62 inference(modus_ponens,[status(thm)],[14056, 14055])).
% 25.31/16.62 tff(14058,plain,
% 25.31/16.62 (v102(constB123)),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14057, 275, 14051])).
% 25.31/16.62 tff(14059,plain,
% 25.31/16.62 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14060,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 25.31/16.62 tff(14061,plain,
% 25.31/16.62 (nextState(constB123, constB124)),
% 25.31/16.62 inference(modus_ponens,[status(thm)],[14060, 14059])).
% 25.31/16.62 tff(14062,plain,
% 25.31/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14063,plain,
% 25.31/16.62 (((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124)) <=> ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14064,plain,
% 25.31/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))))),
% 25.31/16.62 inference(monotonicity,[status(thm)],[14063])).
% 25.31/16.62 tff(14065,plain,
% 25.31/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 25.31/16.62 inference(transitivity,[status(thm)],[14064, 14062])).
% 25.31/16.62 tff(14066,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))),
% 25.31/16.62 inference(quant_inst,[status(thm)],[])).
% 25.31/16.62 tff(14067,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))),
% 25.31/16.62 inference(modus_ponens,[status(thm)],[14066, 14065])).
% 25.31/16.62 tff(14068,plain,
% 25.31/16.62 (v104(constB124) | (~v102(constB123))),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14067, 295, 14061])).
% 25.31/16.62 tff(14069,plain,
% 25.31/16.62 (v104(constB124)),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14068, 14058])).
% 25.31/16.62 tff(14070,plain,
% 25.31/16.62 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14071,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 25.31/16.62 inference(quant_inst,[status(thm)],[])).
% 25.31/16.62 tff(14072,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124))),
% 25.31/16.62 inference(modus_ponens,[status(thm)],[14071, 14070])).
% 25.31/16.62 tff(14073,plain,
% 25.31/16.62 (~v98(constB124)),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14072, 313, 14061, 13910])).
% 25.31/16.62 tff(14074,plain,
% 25.31/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14075,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 25.31/16.62 inference(quant_inst,[status(thm)],[])).
% 25.31/16.62 tff(14076,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124)),
% 25.31/16.62 inference(modus_ponens,[status(thm)],[14075, 14074])).
% 25.31/16.62 tff(14077,plain,
% 25.31/16.62 (v96(constB124) | v98(constB124)),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14076, 327, 14061])).
% 25.31/16.62 tff(14078,plain,
% 25.31/16.62 (v96(constB124)),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14077, 14073])).
% 25.31/16.62 tff(14079,plain,
% 25.31/16.62 (v1(constB124) <=> v1(constB124)),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14080,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 25.31/16.62 tff(14081,plain,
% 25.31/16.62 (v1(constB124)),
% 25.31/16.62 inference(modus_ponens,[status(thm)],[14080, 14079])).
% 25.31/16.62 tff(14082,plain,
% 25.31/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14083,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 25.31/16.62 inference(quant_inst,[status(thm)],[])).
% 25.31/16.62 tff(14084,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124))),
% 25.31/16.62 inference(modus_ponens,[status(thm)],[14083, 14082])).
% 25.31/16.62 tff(14085,plain,
% 25.31/16.62 (v95(constB124) | (~v96(constB124))),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14084, 345, 14061, 14081])).
% 25.31/16.62 tff(14086,plain,
% 25.31/16.62 (v95(constB124)),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14085, 14078])).
% 25.31/16.62 tff(14087,plain,
% 25.31/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14088,plain,
% 25.31/16.62 (((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124)) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 25.31/16.62 inference(rewrite,[status(thm)],[])).
% 25.31/16.62 tff(14089,plain,
% 25.31/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124))))),
% 25.31/16.62 inference(monotonicity,[status(thm)],[14088])).
% 25.31/16.62 tff(14090,plain,
% 25.31/16.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124)))),
% 25.31/16.62 inference(transitivity,[status(thm)],[14089, 14087])).
% 25.31/16.62 tff(14091,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))),
% 25.31/16.62 inference(quant_inst,[status(thm)],[])).
% 25.31/16.62 tff(14092,plain,
% 25.31/16.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | v94(constB124) | (~v95(constB124)) | (~v104(constB124))),
% 25.31/16.62 inference(modus_ponens,[status(thm)],[14091, 14090])).
% 25.31/16.62 tff(14093,plain,
% 25.31/16.62 (v94(constB124) | (~v95(constB124)) | (~v104(constB124))),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14092, 360, 14061])).
% 25.31/16.62 tff(14094,plain,
% 25.31/16.62 (v94(constB124) | (~v104(constB124))),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14093, 14086])).
% 25.31/16.62 tff(14095,plain,
% 25.31/16.62 (v94(constB124)),
% 25.31/16.62 inference(unit_resolution,[status(thm)],[14094, 14069])).
% 25.31/16.63 tff(14096,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB123)) | (~v124(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB123)) | (~v124(constB123, bitIndex2)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14097,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB123)) | (~v124(constB123, bitIndex2)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14098,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB123)) | (~v124(constB123, bitIndex2))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14097, 14096])).
% 25.31/16.63 tff(14099,plain,
% 25.31/16.63 (~v124(constB123, bitIndex2)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14098, 625, 14009])).
% 25.31/16.63 tff(14100,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14101,plain,
% 25.31/16.63 ((v26(constB123) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2))) <=> ((~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14102,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB123) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2)))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14101])).
% 25.31/16.63 tff(14103,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB123) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14102, 14100])).
% 25.31/16.63 tff(14104,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB123) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14105,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB123, bitIndex2)) | v26(constB123) | v124(constB123, bitIndex2)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14104, 14103])).
% 25.31/16.63 tff(14106,plain,
% 25.31/16.63 ((~v121(constB123, bitIndex2)) | v124(constB123, bitIndex2)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14105, 390, 14043])).
% 25.31/16.63 tff(14107,plain,
% 25.31/16.63 (~v121(constB123, bitIndex2)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14106, 14099])).
% 25.31/16.63 tff(14108,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14109,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14110,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14109, 14108])).
% 25.31/16.63 tff(14111,plain,
% 25.31/16.63 (v121(constB123, bitIndex2) | (~v123(constB124, bitIndex2))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14110, 408, 14061])).
% 25.31/16.63 tff(14112,plain,
% 25.31/16.63 (~v123(constB124, bitIndex2)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14111, 14107])).
% 25.31/16.63 tff(14113,plain,
% 25.31/16.63 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14114,plain,
% 25.31/16.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14115,plain,
% 25.31/16.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2) | (~v94(constB124))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14114, 14113])).
% 25.31/16.63 tff(14116,plain,
% 25.31/16.63 ((~v84(constB124, bitIndex2)) | (~v94(constB124))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14115, 423, 14112])).
% 25.31/16.63 tff(14117,plain,
% 25.31/16.63 (~v84(constB124, bitIndex2)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14116, 14095])).
% 25.31/16.63 tff(14118,plain,
% 25.31/16.63 ((~v1(constB125)) <=> (~v1(constB125))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14119,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 25.31/16.63 tff(14120,plain,
% 25.31/16.63 (~v1(constB125)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14119, 14118])).
% 25.31/16.63 tff(14121,plain,
% 25.31/16.63 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14122,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 25.31/16.63 tff(14123,plain,
% 25.31/16.63 (nextState(constB124, constB125)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 25.31/16.63 tff(14124,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14125,plain,
% 25.31/16.63 (((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14126,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14125])).
% 25.31/16.63 tff(14127,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14126, 14124])).
% 25.31/16.63 tff(14128,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14129,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 25.31/16.63 tff(14130,plain,
% 25.31/16.63 (~v95(constB125)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14129, 73, 14123, 14120])).
% 25.31/16.63 tff(14131,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14132,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14133,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 25.31/16.63 tff(14134,plain,
% 25.31/16.63 (v95(constB125) | (~v94(constB125))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14133, 90, 14123])).
% 25.31/16.63 tff(14135,plain,
% 25.31/16.63 (~v94(constB125)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14134, 14130])).
% 25.31/16.63 tff(14136,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14137,plain,
% 25.31/16.63 (((~nextState(constB124, constB125)) | v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2))) <=> (v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14138,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2))))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14137])).
% 25.31/16.63 tff(14139,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2)))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14138, 14136])).
% 25.31/16.63 tff(14140,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14141,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB124, bitIndex2) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex2))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14140, 14139])).
% 25.31/16.63 tff(14142,plain,
% 25.31/16.63 (v84(constB124, bitIndex2) | v94(constB125) | (~v84(constB125, bitIndex2))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14141, 105, 14123])).
% 25.31/16.63 tff(14143,plain,
% 25.31/16.63 (v84(constB124, bitIndex2) | (~v84(constB125, bitIndex2))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14142, 14135])).
% 25.31/16.63 tff(14144,plain,
% 25.31/16.63 (~v84(constB125, bitIndex2)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14143, 14117])).
% 25.31/16.63 tff(14145,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB123)) | v124(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB123)) | v124(constB123, bitIndex1))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14146,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB123)) | v124(constB123, bitIndex1))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14147,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB123)) | v124(constB123, bitIndex1)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14146, 14145])).
% 25.31/16.63 tff(14148,plain,
% 25.31/16.63 (v124(constB123, bitIndex1)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14147, 798, 14009])).
% 25.31/16.63 tff(14149,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14150,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14151,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB123) | (~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14150, 14149])).
% 25.31/16.63 tff(14152,plain,
% 25.31/16.63 ((~v124(constB123, bitIndex1)) | v121(constB123, bitIndex1)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14151, 812, 14043])).
% 25.31/16.63 tff(14153,plain,
% 25.31/16.63 (v121(constB123, bitIndex1)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14152, 14148])).
% 25.31/16.63 tff(14154,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14155,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14156,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB123, constB124)) | (~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14155, 14154])).
% 25.31/16.63 tff(14157,plain,
% 25.31/16.63 ((~v121(constB123, bitIndex1)) | v123(constB124, bitIndex1)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14156, 827, 14061])).
% 25.31/16.63 tff(14158,plain,
% 25.31/16.63 (v123(constB124, bitIndex1)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14157, 14153])).
% 25.31/16.63 tff(14159,plain,
% 25.31/16.63 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14160,plain,
% 25.31/16.63 ((v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1))) <=> (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14161,plain,
% 25.31/16.63 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124))))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14160])).
% 25.31/16.63 tff(14162,plain,
% 25.31/16.63 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124)))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14161, 14159])).
% 25.31/16.63 tff(14163,plain,
% 25.31/16.63 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14164,plain,
% 25.31/16.63 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)) | (~v94(constB124))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14163, 14162])).
% 25.31/16.63 tff(14165,plain,
% 25.31/16.63 (v84(constB124, bitIndex1) | (~v94(constB124))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14164, 842, 14158])).
% 25.31/16.63 tff(14166,plain,
% 25.31/16.63 (v84(constB124, bitIndex1)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14165, 14095])).
% 25.31/16.63 tff(14167,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14168,plain,
% 25.31/16.63 (((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1)) <=> ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14169,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1)))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14168])).
% 25.31/16.63 tff(14170,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14169, 14167])).
% 25.31/16.63 tff(14171,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB124, constB125)) | (~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14172,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB124, bitIndex1)) | (~nextState(constB124, constB125)) | v94(constB125) | v84(constB125, bitIndex1)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14171, 14170])).
% 25.31/16.63 tff(14173,plain,
% 25.31/16.63 ((~v84(constB124, bitIndex1)) | v94(constB125) | v84(constB125, bitIndex1)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14172, 860, 14123])).
% 25.31/16.63 tff(14174,plain,
% 25.31/16.63 ((~v84(constB124, bitIndex1)) | v84(constB125, bitIndex1)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14173, 14135])).
% 25.31/16.63 tff(14175,plain,
% 25.31/16.63 (v84(constB125, bitIndex1)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14174, 14166])).
% 25.31/16.63 tff(14176,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB123)) | (~v124(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB123)) | (~v124(constB123, bitIndex0)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14177,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB123)) | (~v124(constB123, bitIndex0)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14178,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB123)) | (~v124(constB123, bitIndex0))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14177, 14176])).
% 25.31/16.63 tff(14179,plain,
% 25.31/16.63 (~v124(constB123, bitIndex0)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14178, 876, 14009])).
% 25.31/16.63 tff(14180,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14181,plain,
% 25.31/16.63 ((v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0))) <=> ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14182,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0)))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14181])).
% 25.31/16.63 tff(14183,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14182, 14180])).
% 25.31/16.63 tff(14184,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB123) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14185,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB123, bitIndex0)) | v26(constB123) | v124(constB123, bitIndex0)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14184, 14183])).
% 25.31/16.63 tff(14186,plain,
% 25.31/16.63 ((~v121(constB123, bitIndex0)) | v124(constB123, bitIndex0)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14185, 890, 14043])).
% 25.31/16.63 tff(14187,plain,
% 25.31/16.63 (~v121(constB123, bitIndex0)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14186, 14179])).
% 25.31/16.63 tff(14188,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14189,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14190,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB123, constB124)) | v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14189, 14188])).
% 25.31/16.63 tff(14191,plain,
% 25.31/16.63 (v121(constB123, bitIndex0) | (~v123(constB124, bitIndex0))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14190, 908, 14061])).
% 25.31/16.63 tff(14192,plain,
% 25.31/16.63 (~v123(constB124, bitIndex0)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14191, 14187])).
% 25.31/16.63 tff(14193,plain,
% 25.31/16.63 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14194,plain,
% 25.31/16.63 (((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0)) <=> ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14195,plain,
% 25.31/16.63 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124))))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14194])).
% 25.31/16.63 tff(14196,plain,
% 25.31/16.63 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124)))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14195, 14193])).
% 25.31/16.63 tff(14197,plain,
% 25.31/16.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14198,plain,
% 25.31/16.63 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0) | (~v94(constB124))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14197, 14196])).
% 25.31/16.63 tff(14199,plain,
% 25.31/16.63 ((~v84(constB124, bitIndex0)) | (~v94(constB124))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14198, 923, 14192])).
% 25.31/16.63 tff(14200,plain,
% 25.31/16.63 (~v84(constB124, bitIndex0)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14199, 14095])).
% 25.31/16.63 tff(14201,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14202,plain,
% 25.31/16.63 (((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0))) <=> (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14203,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0))))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14202])).
% 25.31/16.63 tff(14204,plain,
% 25.31/16.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14203, 14201])).
% 25.31/16.63 tff(14205,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB124, constB125)) | v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0)))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14206,plain,
% 25.31/16.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB124, bitIndex0) | (~nextState(constB124, constB125)) | v94(constB125) | (~v84(constB125, bitIndex0))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14205, 14204])).
% 25.31/16.63 tff(14207,plain,
% 25.31/16.63 (v84(constB124, bitIndex0) | v94(constB125) | (~v84(constB125, bitIndex0))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14206, 147, 14123])).
% 25.31/16.63 tff(14208,plain,
% 25.31/16.63 (v84(constB124, bitIndex0) | (~v84(constB125, bitIndex0))),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14207, 14135])).
% 25.31/16.63 tff(14209,plain,
% 25.31/16.63 (~v84(constB125, bitIndex0)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14208, 14200])).
% 25.31/16.63 tff(14210,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14211,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14212,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 25.31/16.63 tff(14213,plain,
% 25.31/16.63 (v115(constB125)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14212, 950, 14209, 14175, 14144])).
% 25.31/16.63 tff(14214,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB125)) | v111(constB125))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB125)) | v111(constB125))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14215,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB125)) | v111(constB125))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14216,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB125)) | v111(constB125)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14215, 14214])).
% 25.31/16.63 tff(14217,plain,
% 25.31/16.63 (v111(constB125)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14216, 961, 14213])).
% 25.31/16.63 tff(14218,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB125) | (~v111(constB125)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB125) | (~v111(constB125)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14219,plain,
% 25.31/16.63 (((~v111(constB125)) | v110(constB125)) <=> (v110(constB125) | (~v111(constB125)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14220,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB125)) | v110(constB125))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB125) | (~v111(constB125))))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14219])).
% 25.31/16.63 tff(14221,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB125)) | v110(constB125))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB125) | (~v111(constB125)))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14220, 14218])).
% 25.31/16.63 tff(14222,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB125)) | v110(constB125))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14223,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB125) | (~v111(constB125))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14222, 14221])).
% 25.31/16.63 tff(14224,plain,
% 25.31/16.63 (v110(constB125)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14223, 207, 14217])).
% 25.31/16.63 tff(14225,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB125) | (~v110(constB125)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB125) | (~v110(constB125)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14226,plain,
% 25.31/16.63 (((~v110(constB125)) | v109(constB125)) <=> (v109(constB125) | (~v110(constB125)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14227,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB125)) | v109(constB125))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB125) | (~v110(constB125))))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14226])).
% 25.31/16.63 tff(14228,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB125)) | v109(constB125))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB125) | (~v110(constB125)))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14227, 14225])).
% 25.31/16.63 tff(14229,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB125)) | v109(constB125))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14230,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB125) | (~v110(constB125))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14229, 14228])).
% 25.31/16.63 tff(14231,plain,
% 25.31/16.63 (v109(constB125)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14230, 221, 14224])).
% 25.31/16.63 tff(14232,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB125)) | v108(constB125))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB125)) | v108(constB125))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14233,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB125)) | v108(constB125))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14234,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB125)) | v108(constB125)),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 25.31/16.63 tff(14235,plain,
% 25.31/16.63 (v108(constB125)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14234, 235, 14231])).
% 25.31/16.63 tff(14236,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB125) | (~v108(constB125)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB125) | (~v108(constB125)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14237,plain,
% 25.31/16.63 (((~v108(constB125)) | v107(constB125)) <=> (v107(constB125) | (~v108(constB125)))),
% 25.31/16.63 inference(rewrite,[status(thm)],[])).
% 25.31/16.63 tff(14238,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB125)) | v107(constB125))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB125) | (~v108(constB125))))),
% 25.31/16.63 inference(monotonicity,[status(thm)],[14237])).
% 25.31/16.63 tff(14239,plain,
% 25.31/16.63 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB125)) | v107(constB125))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB125) | (~v108(constB125)))),
% 25.31/16.63 inference(transitivity,[status(thm)],[14238, 14236])).
% 25.31/16.63 tff(14240,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB125)) | v107(constB125))),
% 25.31/16.63 inference(quant_inst,[status(thm)],[])).
% 25.31/16.63 tff(14241,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB125) | (~v108(constB125))),
% 25.31/16.63 inference(modus_ponens,[status(thm)],[14240, 14239])).
% 25.31/16.63 tff(14242,plain,
% 25.31/16.63 (v107(constB125)),
% 25.31/16.63 inference(unit_resolution,[status(thm)],[14241, 249, 14235])).
% 25.31/16.63 tff(14243,assumption,(v26(constB125)), introduced(assumption)).
% 25.31/16.63 tff(14244,plain,
% 25.31/16.63 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB125))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14245,plain,
% 25.31/16.64 ($false),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14244, 18, 14243])).
% 25.31/16.64 tff(14246,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 25.31/16.64 tff(14247,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | (~v107(constB125)) | v106(constB125))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14248,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14249,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | (~v107(constB125)) | v106(constB125)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14248, 14247])).
% 25.31/16.64 tff(14250,plain,
% 25.31/16.64 ((~v107(constB125)) | v106(constB125)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14249, 263, 14246])).
% 25.31/16.64 tff(14251,plain,
% 25.31/16.64 (v106(constB125)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14250, 14242])).
% 25.31/16.64 tff(14252,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB125) | (~v106(constB125)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB125) | (~v106(constB125)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14253,plain,
% 25.31/16.64 (((~v106(constB125)) | v102(constB125)) <=> (v102(constB125) | (~v106(constB125)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14254,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB125)) | v102(constB125))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB125) | (~v106(constB125))))),
% 25.31/16.64 inference(monotonicity,[status(thm)],[14253])).
% 25.31/16.64 tff(14255,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB125)) | v102(constB125))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB125) | (~v106(constB125)))),
% 25.31/16.64 inference(transitivity,[status(thm)],[14254, 14252])).
% 25.31/16.64 tff(14256,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB125)) | v102(constB125))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14257,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB125) | (~v106(constB125))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14256, 14255])).
% 25.31/16.64 tff(14258,plain,
% 25.31/16.64 (v102(constB125)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14257, 275, 14251])).
% 25.31/16.64 tff(14259,plain,
% 25.31/16.64 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14260,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 25.31/16.64 tff(14261,plain,
% 25.31/16.64 (nextState(constB125, constB126)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 25.31/16.64 tff(14262,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14263,plain,
% 25.31/16.64 (((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126)) <=> ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14264,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))))),
% 25.31/16.64 inference(monotonicity,[status(thm)],[14263])).
% 25.31/16.64 tff(14265,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 25.31/16.64 inference(transitivity,[status(thm)],[14264, 14262])).
% 25.31/16.64 tff(14266,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14267,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14266, 14265])).
% 25.31/16.64 tff(14268,plain,
% 25.31/16.64 (v104(constB126) | (~v102(constB125))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14267, 295, 14261])).
% 25.31/16.64 tff(14269,plain,
% 25.31/16.64 (v104(constB126)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14268, 14258])).
% 25.31/16.64 tff(14270,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14271,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14272,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14271, 14270])).
% 25.31/16.64 tff(14273,plain,
% 25.31/16.64 (~v98(constB126)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14272, 313, 14261, 14120])).
% 25.31/16.64 tff(14274,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14275,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14276,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 25.31/16.64 tff(14277,plain,
% 25.31/16.64 (v96(constB126) | v98(constB126)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14276, 327, 14261])).
% 25.31/16.64 tff(14278,plain,
% 25.31/16.64 (v96(constB126)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14277, 14273])).
% 25.31/16.64 tff(14279,plain,
% 25.31/16.64 (v1(constB126) <=> v1(constB126)),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14280,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 25.31/16.64 tff(14281,plain,
% 25.31/16.64 (v1(constB126)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14280, 14279])).
% 25.31/16.64 tff(14282,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14283,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14284,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14283, 14282])).
% 25.31/16.64 tff(14285,plain,
% 25.31/16.64 (v95(constB126) | (~v96(constB126))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14284, 345, 14261, 14281])).
% 25.31/16.64 tff(14286,plain,
% 25.31/16.64 (v95(constB126)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14285, 14278])).
% 25.31/16.64 tff(14287,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14288,plain,
% 25.31/16.64 (((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126)) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14289,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126))))),
% 25.31/16.64 inference(monotonicity,[status(thm)],[14288])).
% 25.31/16.64 tff(14290,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126)))),
% 25.31/16.64 inference(transitivity,[status(thm)],[14289, 14287])).
% 25.31/16.64 tff(14291,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14292,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | v94(constB126) | (~v95(constB126)) | (~v104(constB126))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14291, 14290])).
% 25.31/16.64 tff(14293,plain,
% 25.31/16.64 (v94(constB126) | (~v95(constB126)) | (~v104(constB126))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14292, 360, 14261])).
% 25.31/16.64 tff(14294,plain,
% 25.31/16.64 (v94(constB126) | (~v104(constB126))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14293, 14286])).
% 25.31/16.64 tff(14295,plain,
% 25.31/16.64 (v94(constB126)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14294, 14269])).
% 25.31/16.64 tff(14296,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB125)) | (~v124(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB125)) | (~v124(constB125, bitIndex2)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14297,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB125)) | (~v124(constB125, bitIndex2)))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14298,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB125)) | (~v124(constB125, bitIndex2))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14297, 14296])).
% 25.31/16.64 tff(14299,plain,
% 25.31/16.64 (~v124(constB125, bitIndex2)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14298, 1046, 14213])).
% 25.31/16.64 tff(14300,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14301,plain,
% 25.31/16.64 ((v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2))) <=> ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14302,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2)))),
% 25.31/16.64 inference(monotonicity,[status(thm)],[14301])).
% 25.31/16.64 tff(14303,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2))),
% 25.31/16.64 inference(transitivity,[status(thm)],[14302, 14300])).
% 25.31/16.64 tff(14304,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB125) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14305,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB125, bitIndex2)) | v26(constB125) | v124(constB125, bitIndex2)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14304, 14303])).
% 25.31/16.64 tff(14306,plain,
% 25.31/16.64 ((~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14305, 390, 14246])).
% 25.31/16.64 tff(14307,plain,
% 25.31/16.64 (~v121(constB125, bitIndex2)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14306, 14299])).
% 25.31/16.64 tff(14308,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14309,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14310,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB125, constB126)) | v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14309, 14308])).
% 25.31/16.64 tff(14311,plain,
% 25.31/16.64 (v121(constB125, bitIndex2) | (~v123(constB126, bitIndex2))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14310, 408, 14261])).
% 25.31/16.64 tff(14312,plain,
% 25.31/16.64 (~v123(constB126, bitIndex2)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14311, 14307])).
% 25.31/16.64 tff(14313,plain,
% 25.31/16.64 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14314,plain,
% 25.31/16.64 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126)))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14315,plain,
% 25.31/16.64 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2) | (~v94(constB126))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14314, 14313])).
% 25.31/16.64 tff(14316,plain,
% 25.31/16.64 ((~v84(constB126, bitIndex2)) | (~v94(constB126))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14315, 423, 14312])).
% 25.31/16.64 tff(14317,plain,
% 25.31/16.64 (~v84(constB126, bitIndex2)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14316, 14295])).
% 25.31/16.64 tff(14318,plain,
% 25.31/16.64 ((~v1(constB127)) <=> (~v1(constB127))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14319,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 25.31/16.64 tff(14320,plain,
% 25.31/16.64 (~v1(constB127)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14319, 14318])).
% 25.31/16.64 tff(14321,plain,
% 25.31/16.64 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14322,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 25.31/16.64 tff(14323,plain,
% 25.31/16.64 (nextState(constB126, constB127)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 25.31/16.64 tff(14324,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14325,plain,
% 25.31/16.64 (((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14326,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))))),
% 25.31/16.64 inference(monotonicity,[status(thm)],[14325])).
% 25.31/16.64 tff(14327,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 25.31/16.64 inference(transitivity,[status(thm)],[14326, 14324])).
% 25.31/16.64 tff(14328,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14329,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14328, 14327])).
% 25.31/16.64 tff(14330,plain,
% 25.31/16.64 (~v95(constB127)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14329, 73, 14323, 14320])).
% 25.31/16.64 tff(14331,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14332,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14333,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14332, 14331])).
% 25.31/16.64 tff(14334,plain,
% 25.31/16.64 (v95(constB127) | (~v94(constB127))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14333, 90, 14323])).
% 25.31/16.64 tff(14335,plain,
% 25.31/16.64 (~v94(constB127)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14334, 14330])).
% 25.31/16.64 tff(14336,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14337,plain,
% 25.31/16.64 (((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2))) <=> (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14338,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2))))),
% 25.31/16.64 inference(monotonicity,[status(thm)],[14337])).
% 25.31/16.64 tff(14339,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 25.31/16.64 inference(transitivity,[status(thm)],[14338, 14336])).
% 25.31/16.64 tff(14340,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB126, constB127)) | v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2)))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14341,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB126, bitIndex2) | (~nextState(constB126, constB127)) | v94(constB127) | (~v84(constB127, bitIndex2))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14340, 14339])).
% 25.31/16.64 tff(14342,plain,
% 25.31/16.64 (v84(constB126, bitIndex2) | v94(constB127) | (~v84(constB127, bitIndex2))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14341, 105, 14323])).
% 25.31/16.64 tff(14343,plain,
% 25.31/16.64 (v84(constB126, bitIndex2) | (~v84(constB127, bitIndex2))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14342, 14335])).
% 25.31/16.64 tff(14344,plain,
% 25.31/16.64 (~v84(constB127, bitIndex2)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14343, 14317])).
% 25.31/16.64 tff(14345,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB125)) | v124(constB125, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB125)) | v124(constB125, bitIndex1))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14346,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB125)) | v124(constB125, bitIndex1))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14347,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB125)) | v124(constB125, bitIndex1)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 25.31/16.64 tff(14348,plain,
% 25.31/16.64 (v124(constB125, bitIndex1)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14347, 1102, 14213])).
% 25.31/16.64 tff(14349,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB125) | (~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB125) | (~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14350,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB125) | (~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14351,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB125) | (~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14350, 14349])).
% 25.31/16.64 tff(14352,plain,
% 25.31/16.64 ((~v124(constB125, bitIndex1)) | v121(constB125, bitIndex1)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14351, 812, 14246])).
% 25.31/16.64 tff(14353,plain,
% 25.31/16.64 (v121(constB125, bitIndex1)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14352, 14348])).
% 25.31/16.64 tff(14354,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14355,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14356,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14355, 14354])).
% 25.31/16.64 tff(14357,plain,
% 25.31/16.64 ((~v121(constB125, bitIndex1)) | v123(constB126, bitIndex1)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14356, 827, 14261])).
% 25.31/16.64 tff(14358,plain,
% 25.31/16.64 (v123(constB126, bitIndex1)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14357, 14353])).
% 25.31/16.64 tff(14359,plain,
% 25.31/16.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14360,plain,
% 25.31/16.64 ((v84(constB126, bitIndex1) | (~v94(constB126)) | (~v123(constB126, bitIndex1))) <=> (v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126)))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14361,plain,
% 25.31/16.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v94(constB126)) | (~v123(constB126, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126))))),
% 25.31/16.64 inference(monotonicity,[status(thm)],[14360])).
% 25.31/16.64 tff(14362,plain,
% 25.31/16.64 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v94(constB126)) | (~v123(constB126, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126)))),
% 25.31/16.64 inference(transitivity,[status(thm)],[14361, 14359])).
% 25.31/16.64 tff(14363,plain,
% 25.31/16.64 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB126, bitIndex1) | (~v94(constB126)) | (~v123(constB126, bitIndex1)))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14364,plain,
% 25.31/16.64 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)) | (~v94(constB126))),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14363, 14362])).
% 25.31/16.64 tff(14365,plain,
% 25.31/16.64 (v84(constB126, bitIndex1) | (~v94(constB126))),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14364, 842, 14358])).
% 25.31/16.64 tff(14366,plain,
% 25.31/16.64 (v84(constB126, bitIndex1)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14365, 14295])).
% 25.31/16.64 tff(14367,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14368,plain,
% 25.31/16.64 (((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1)) <=> ((~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14369,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1)))),
% 25.31/16.64 inference(monotonicity,[status(thm)],[14368])).
% 25.31/16.64 tff(14370,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1))),
% 25.31/16.64 inference(transitivity,[status(thm)],[14369, 14367])).
% 25.31/16.64 tff(14371,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14372,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB126, bitIndex1)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex1)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14371, 14370])).
% 25.31/16.64 tff(14373,plain,
% 25.31/16.64 ((~v84(constB126, bitIndex1)) | v94(constB127) | v84(constB127, bitIndex1)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14372, 860, 14323])).
% 25.31/16.64 tff(14374,plain,
% 25.31/16.64 ((~v84(constB126, bitIndex1)) | v84(constB127, bitIndex1)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14373, 14335])).
% 25.31/16.64 tff(14375,plain,
% 25.31/16.64 (v84(constB127, bitIndex1)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14374, 14366])).
% 25.31/16.64 tff(14376,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB125)) | v124(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB125)) | v124(constB125, bitIndex0))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14377,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB125)) | v124(constB125, bitIndex0))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14378,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB125)) | v124(constB125, bitIndex0)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14377, 14376])).
% 25.31/16.64 tff(14379,plain,
% 25.31/16.64 (v124(constB125, bitIndex0)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14378, 1140, 14213])).
% 25.31/16.64 tff(14380,plain,
% 25.31/16.64 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14381,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14382,plain,
% 25.31/16.64 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB125) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14381, 14380])).
% 25.31/16.64 tff(14383,plain,
% 25.31/16.64 ((~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14382, 547, 14246])).
% 25.31/16.64 tff(14384,plain,
% 25.31/16.64 (v121(constB125, bitIndex0)),
% 25.31/16.64 inference(unit_resolution,[status(thm)],[14383, 14379])).
% 25.31/16.64 tff(14385,plain,
% 25.31/16.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))),
% 25.31/16.64 inference(rewrite,[status(thm)],[])).
% 25.31/16.64 tff(14386,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0))),
% 25.31/16.64 inference(quant_inst,[status(thm)],[])).
% 25.31/16.64 tff(14387,plain,
% 25.31/16.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB125, constB126)) | (~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0)),
% 25.31/16.64 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 25.31/16.64 tff(14388,plain,
% 25.31/16.65 ((~v121(constB125, bitIndex0)) | v123(constB126, bitIndex0)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14387, 562, 14261])).
% 25.31/16.65 tff(14389,plain,
% 25.31/16.65 (v123(constB126, bitIndex0)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14388, 14384])).
% 25.31/16.65 tff(14390,plain,
% 25.31/16.65 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14391,plain,
% 25.31/16.65 ((v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0))) <=> (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14392,plain,
% 25.31/16.65 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126))))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14391])).
% 25.31/16.65 tff(14393,plain,
% 25.31/16.65 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126)))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14392, 14390])).
% 25.31/16.65 tff(14394,plain,
% 25.31/16.65 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0)))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14395,plain,
% 25.31/16.65 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)) | (~v94(constB126))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14394, 14393])).
% 25.31/16.65 tff(14396,plain,
% 25.31/16.65 (v84(constB126, bitIndex0) | (~v94(constB126))),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14395, 577, 14389])).
% 25.31/16.65 tff(14397,plain,
% 25.31/16.65 (v84(constB126, bitIndex0)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14396, 14295])).
% 25.31/16.65 tff(14398,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14399,plain,
% 25.31/16.65 (((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0)) <=> ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14400,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0)))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14399])).
% 25.31/16.65 tff(14401,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14400, 14398])).
% 25.31/16.65 tff(14402,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB126, constB127)) | (~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14403,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB126, bitIndex0)) | (~nextState(constB126, constB127)) | v94(constB127) | v84(constB127, bitIndex0)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14402, 14401])).
% 25.31/16.65 tff(14404,plain,
% 25.31/16.65 ((~v84(constB126, bitIndex0)) | v94(constB127) | v84(constB127, bitIndex0)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14403, 595, 14323])).
% 25.31/16.65 tff(14405,plain,
% 25.31/16.65 ((~v84(constB126, bitIndex0)) | v84(constB127, bitIndex0)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14404, 14335])).
% 25.31/16.65 tff(14406,plain,
% 25.31/16.65 (v84(constB127, bitIndex0)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14405, 14397])).
% 25.31/16.65 tff(14407,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14408,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14409,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14408, 14407])).
% 25.31/16.65 tff(14410,plain,
% 25.31/16.65 (v116(constB127)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14409, 1181, 14406, 14375, 14344])).
% 25.31/16.65 tff(14411,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB127)) | v110(constB127))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB127)) | v110(constB127))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14412,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB127)) | v110(constB127))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14413,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB127)) | v110(constB127)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14412, 14411])).
% 25.31/16.65 tff(14414,plain,
% 25.31/16.65 (v110(constB127)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14413, 1192, 14410])).
% 25.31/16.65 tff(14415,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB127) | (~v110(constB127)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB127) | (~v110(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14416,plain,
% 25.31/16.65 (((~v110(constB127)) | v109(constB127)) <=> (v109(constB127) | (~v110(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14417,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB127)) | v109(constB127))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB127) | (~v110(constB127))))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14416])).
% 25.31/16.65 tff(14418,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB127)) | v109(constB127))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB127) | (~v110(constB127)))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14417, 14415])).
% 25.31/16.65 tff(14419,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB127)) | v109(constB127))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14420,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB127) | (~v110(constB127))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14419, 14418])).
% 25.31/16.65 tff(14421,plain,
% 25.31/16.65 (v109(constB127)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14420, 221, 14414])).
% 25.31/16.65 tff(14422,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB127)) | v108(constB127))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB127)) | v108(constB127))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14423,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB127)) | v108(constB127))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14424,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB127)) | v108(constB127)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14423, 14422])).
% 25.31/16.65 tff(14425,plain,
% 25.31/16.65 (v108(constB127)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14424, 235, 14421])).
% 25.31/16.65 tff(14426,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB127) | (~v108(constB127)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB127) | (~v108(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14427,plain,
% 25.31/16.65 (((~v108(constB127)) | v107(constB127)) <=> (v107(constB127) | (~v108(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14428,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB127)) | v107(constB127))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB127) | (~v108(constB127))))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14427])).
% 25.31/16.65 tff(14429,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB127)) | v107(constB127))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB127) | (~v108(constB127)))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14428, 14426])).
% 25.31/16.65 tff(14430,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB127)) | v107(constB127))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14431,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB127) | (~v108(constB127))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14430, 14429])).
% 25.31/16.65 tff(14432,plain,
% 25.31/16.65 (v107(constB127)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14431, 249, 14425])).
% 25.31/16.65 tff(14433,assumption,(v26(constB127)), introduced(assumption)).
% 25.31/16.65 tff(14434,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB127))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14435,plain,
% 25.31/16.65 ($false),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14434, 18, 14433])).
% 25.31/16.65 tff(14436,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 25.31/16.65 tff(14437,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | v106(constB127) | (~v107(constB127)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB127) | v106(constB127) | (~v107(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14438,plain,
% 25.31/16.65 ((v26(constB127) | (~v107(constB127)) | v106(constB127)) <=> (v26(constB127) | v106(constB127) | (~v107(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14439,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | (~v107(constB127)) | v106(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | v106(constB127) | (~v107(constB127))))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14438])).
% 25.31/16.65 tff(14440,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | (~v107(constB127)) | v106(constB127))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB127) | v106(constB127) | (~v107(constB127)))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14439, 14437])).
% 25.31/16.65 tff(14441,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB127) | (~v107(constB127)) | v106(constB127))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14442,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB127) | v106(constB127) | (~v107(constB127))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14441, 14440])).
% 25.31/16.65 tff(14443,plain,
% 25.31/16.65 (v106(constB127) | (~v107(constB127))),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14442, 263, 14436])).
% 25.31/16.65 tff(14444,plain,
% 25.31/16.65 (v106(constB127)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14443, 14432])).
% 25.31/16.65 tff(14445,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB127) | (~v106(constB127)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB127) | (~v106(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14446,plain,
% 25.31/16.65 (((~v106(constB127)) | v102(constB127)) <=> (v102(constB127) | (~v106(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14447,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB127)) | v102(constB127))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB127) | (~v106(constB127))))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14446])).
% 25.31/16.65 tff(14448,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB127)) | v102(constB127))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB127) | (~v106(constB127)))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14447, 14445])).
% 25.31/16.65 tff(14449,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB127)) | v102(constB127))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14450,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB127) | (~v106(constB127))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14449, 14448])).
% 25.31/16.65 tff(14451,plain,
% 25.31/16.65 (v102(constB127)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14450, 275, 14444])).
% 25.31/16.65 tff(14452,plain,
% 25.31/16.65 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14453,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 25.31/16.65 tff(14454,plain,
% 25.31/16.65 (nextState(constB127, constB128)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14453, 14452])).
% 25.31/16.65 tff(14455,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14456,plain,
% 25.31/16.65 (((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128)) <=> ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14457,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127))))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14456])).
% 25.31/16.65 tff(14458,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127)))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14457, 14455])).
% 25.31/16.65 tff(14459,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB127, constB128)) | (~v102(constB127)) | v104(constB128))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14460,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v102(constB127))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14459, 14458])).
% 25.31/16.65 tff(14461,plain,
% 25.31/16.65 (v104(constB128) | (~v102(constB127))),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14460, 295, 14454])).
% 25.31/16.65 tff(14462,plain,
% 25.31/16.65 (v104(constB128)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14461, 14451])).
% 25.31/16.65 tff(14463,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14464,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128)))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14465,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB127) | (~nextState(constB127, constB128)) | (~v98(constB128))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14464, 14463])).
% 25.31/16.65 tff(14466,plain,
% 25.31/16.65 (~v98(constB128)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14465, 313, 14454, 14320])).
% 25.31/16.65 tff(14467,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14468,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB127, constB128)) | v96(constB128) | v98(constB128))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14469,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB127, constB128)) | v96(constB128) | v98(constB128)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14468, 14467])).
% 25.31/16.65 tff(14470,plain,
% 25.31/16.65 (v96(constB128) | v98(constB128)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14469, 327, 14454])).
% 25.31/16.65 tff(14471,plain,
% 25.31/16.65 (v96(constB128)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14470, 14466])).
% 25.31/16.65 tff(14472,plain,
% 25.31/16.65 (v1(constB128) <=> v1(constB128)),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14473,axiom,(v1(constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_128_1')).
% 25.31/16.65 tff(14474,plain,
% 25.31/16.65 (v1(constB128)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14473, 14472])).
% 25.31/16.65 tff(14475,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14476,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128)))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14477,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB127, constB128)) | v95(constB128) | (~v96(constB128)) | (~v1(constB128))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14476, 14475])).
% 25.31/16.65 tff(14478,plain,
% 25.31/16.65 (v95(constB128) | (~v96(constB128))),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14477, 345, 14454, 14474])).
% 25.31/16.65 tff(14479,plain,
% 25.31/16.65 (v95(constB128)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14478, 14471])).
% 25.31/16.65 tff(14480,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14481,plain,
% 25.31/16.65 (((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128)) <=> ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14482,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128))))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14481])).
% 25.31/16.65 tff(14483,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128)))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14482, 14480])).
% 25.31/16.65 tff(14484,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB127, constB128)) | (~v95(constB128)) | (~v104(constB128)) | v94(constB128))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14485,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB127, constB128)) | v94(constB128) | (~v95(constB128)) | (~v104(constB128))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14484, 14483])).
% 25.31/16.65 tff(14486,plain,
% 25.31/16.65 (v94(constB128) | (~v95(constB128)) | (~v104(constB128))),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14485, 360, 14454])).
% 25.31/16.65 tff(14487,plain,
% 25.31/16.65 (v94(constB128) | (~v104(constB128))),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14486, 14479])).
% 25.31/16.65 tff(14488,plain,
% 25.31/16.65 (v94(constB128)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14487, 14462])).
% 25.31/16.65 tff(14489,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB127)) | v124(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB127)) | v124(constB127, bitIndex2))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14490,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB127)) | v124(constB127, bitIndex2))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14491,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB127)) | v124(constB127, bitIndex2)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14490, 14489])).
% 25.31/16.65 tff(14492,plain,
% 25.31/16.65 (v124(constB127, bitIndex2)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14491, 1273, 14410])).
% 25.31/16.65 tff(14493,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB127) | (~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB127) | (~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14494,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB127) | (~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14495,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB127) | (~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14494, 14493])).
% 25.31/16.65 tff(14496,plain,
% 25.31/16.65 ((~v124(constB127, bitIndex2)) | v121(constB127, bitIndex2)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14495, 1287, 14436])).
% 25.31/16.65 tff(14497,plain,
% 25.31/16.65 (v121(constB127, bitIndex2)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14496, 14492])).
% 25.31/16.65 tff(14498,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14499,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB127, constB128)) | (~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14500,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB127, constB128)) | (~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14499, 14498])).
% 25.31/16.65 tff(14501,plain,
% 25.31/16.65 ((~v121(constB127, bitIndex2)) | v123(constB128, bitIndex2)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14500, 1302, 14454])).
% 25.31/16.65 tff(14502,plain,
% 25.31/16.65 (v123(constB128, bitIndex2)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14501, 14497])).
% 25.31/16.65 tff(14503,plain,
% 25.31/16.65 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14504,plain,
% 25.31/16.65 ((v84(constB128, bitIndex2) | (~v94(constB128)) | (~v123(constB128, bitIndex2))) <=> (v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14505,plain,
% 25.31/16.65 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v94(constB128)) | (~v123(constB128, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128))))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14504])).
% 25.31/16.65 tff(14506,plain,
% 25.31/16.65 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v94(constB128)) | (~v123(constB128, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128)))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14505, 14503])).
% 25.31/16.65 tff(14507,plain,
% 25.31/16.65 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB128, bitIndex2) | (~v94(constB128)) | (~v123(constB128, bitIndex2)))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14508,plain,
% 25.31/16.65 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2)) | (~v94(constB128))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14507, 14506])).
% 25.31/16.65 tff(14509,plain,
% 25.31/16.65 (v84(constB128, bitIndex2) | (~v94(constB128))),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14508, 1317, 14502])).
% 25.31/16.65 tff(14510,plain,
% 25.31/16.65 (v84(constB128, bitIndex2)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14509, 14488])).
% 25.31/16.65 tff(14511,plain,
% 25.31/16.65 ((~v1(constB129)) <=> (~v1(constB129))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14512,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 25.31/16.65 tff(14513,plain,
% 25.31/16.65 (~v1(constB129)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 25.31/16.65 tff(14514,plain,
% 25.31/16.65 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14515,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 25.31/16.65 tff(14516,plain,
% 25.31/16.65 (nextState(constB128, constB129)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14515, 14514])).
% 25.31/16.65 tff(14517,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14518,plain,
% 25.31/16.65 (((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14519,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14518])).
% 25.31/16.65 tff(14520,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14519, 14517])).
% 25.31/16.65 tff(14521,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14522,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14521, 14520])).
% 25.31/16.65 tff(14523,plain,
% 25.31/16.65 (~v95(constB129)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14522, 73, 14516, 14513])).
% 25.31/16.65 tff(14524,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14525,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14526,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14525, 14524])).
% 25.31/16.65 tff(14527,plain,
% 25.31/16.65 (v95(constB129) | (~v94(constB129))),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14526, 90, 14516])).
% 25.31/16.65 tff(14528,plain,
% 25.31/16.65 (~v94(constB129)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14527, 14523])).
% 25.31/16.65 tff(14529,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14530,plain,
% 25.31/16.65 (((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2)) <=> ((~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14531,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2)))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14530])).
% 25.31/16.65 tff(14532,plain,
% 25.31/16.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14531, 14529])).
% 25.31/16.65 tff(14533,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB128, constB129)) | (~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14534,plain,
% 25.31/16.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB128, bitIndex2)) | (~nextState(constB128, constB129)) | v94(constB129) | v84(constB129, bitIndex2)),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14533, 14532])).
% 25.31/16.65 tff(14535,plain,
% 25.31/16.65 ((~v84(constB128, bitIndex2)) | v94(constB129) | v84(constB129, bitIndex2)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14534, 1353, 14516])).
% 25.31/16.65 tff(14536,plain,
% 25.31/16.65 ((~v84(constB128, bitIndex2)) | v84(constB129, bitIndex2)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14535, 14528])).
% 25.31/16.65 tff(14537,plain,
% 25.31/16.65 (v84(constB129, bitIndex2)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14536, 14510])).
% 25.31/16.65 tff(14538,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB127)) | (~v124(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB127)) | (~v124(constB127, bitIndex1)))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14539,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB127)) | (~v124(constB127, bitIndex1)))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14540,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB127)) | (~v124(constB127, bitIndex1))),
% 25.31/16.65 inference(modus_ponens,[status(thm)],[14539, 14538])).
% 25.31/16.65 tff(14541,plain,
% 25.31/16.65 (~v124(constB127, bitIndex1)),
% 25.31/16.65 inference(unit_resolution,[status(thm)],[14540, 1369, 14410])).
% 25.31/16.65 tff(14542,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14543,plain,
% 25.31/16.65 ((v26(constB127) | v124(constB127, bitIndex1) | (~v121(constB127, bitIndex1))) <=> ((~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1))),
% 25.31/16.65 inference(rewrite,[status(thm)],[])).
% 25.31/16.65 tff(14544,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB127) | v124(constB127, bitIndex1) | (~v121(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1)))),
% 25.31/16.65 inference(monotonicity,[status(thm)],[14543])).
% 25.31/16.65 tff(14545,plain,
% 25.31/16.65 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB127) | v124(constB127, bitIndex1) | (~v121(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1))),
% 25.31/16.65 inference(transitivity,[status(thm)],[14544, 14542])).
% 25.31/16.65 tff(14546,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB127) | v124(constB127, bitIndex1) | (~v121(constB127, bitIndex1)))),
% 25.31/16.65 inference(quant_inst,[status(thm)],[])).
% 25.31/16.65 tff(14547,plain,
% 25.31/16.65 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB127, bitIndex1)) | v26(constB127) | v124(constB127, bitIndex1)),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14546, 14545])).
% 25.31/16.66 tff(14548,plain,
% 25.31/16.66 ((~v121(constB127, bitIndex1)) | v124(constB127, bitIndex1)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14547, 476, 14436])).
% 25.31/16.66 tff(14549,plain,
% 25.31/16.66 (~v121(constB127, bitIndex1)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14548, 14541])).
% 25.31/16.66 tff(14550,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14551,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1)))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14552,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14551, 14550])).
% 25.31/16.66 tff(14553,plain,
% 25.31/16.66 (v121(constB127, bitIndex1) | (~v123(constB128, bitIndex1))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14552, 494, 14454])).
% 25.31/16.66 tff(14554,plain,
% 25.31/16.66 (~v123(constB128, bitIndex1)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14553, 14549])).
% 25.31/16.66 tff(14555,plain,
% 25.31/16.66 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14556,plain,
% 25.31/16.66 (((~v84(constB128, bitIndex1)) | (~v94(constB128)) | v123(constB128, bitIndex1)) <=> ((~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14557,plain,
% 25.31/16.66 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~v94(constB128)) | v123(constB128, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14556])).
% 25.31/16.66 tff(14558,plain,
% 25.31/16.66 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~v94(constB128)) | v123(constB128, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14557, 14555])).
% 25.31/16.66 tff(14559,plain,
% 25.31/16.66 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB128, bitIndex1)) | (~v94(constB128)) | v123(constB128, bitIndex1))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14560,plain,
% 25.31/16.66 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1) | (~v94(constB128))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14559, 14558])).
% 25.31/16.66 tff(14561,plain,
% 25.31/16.66 ((~v84(constB128, bitIndex1)) | (~v94(constB128))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14560, 509, 14554])).
% 25.31/16.66 tff(14562,plain,
% 25.31/16.66 (~v84(constB128, bitIndex1)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14561, 14488])).
% 25.31/16.66 tff(14563,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14564,plain,
% 25.31/16.66 (((~nextState(constB128, constB129)) | v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1))) <=> (v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14565,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14564])).
% 25.31/16.66 tff(14566,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14565, 14563])).
% 25.31/16.66 tff(14567,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1)))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14568,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB128, bitIndex1) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex1))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14567, 14566])).
% 25.31/16.66 tff(14569,plain,
% 25.31/16.66 (v84(constB128, bitIndex1) | v94(constB129) | (~v84(constB129, bitIndex1))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14568, 126, 14516])).
% 25.31/16.66 tff(14570,plain,
% 25.31/16.66 (v84(constB128, bitIndex1) | (~v84(constB129, bitIndex1))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14569, 14528])).
% 25.31/16.66 tff(14571,plain,
% 25.31/16.66 (~v84(constB129, bitIndex1)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14570, 14562])).
% 25.31/16.66 tff(14572,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB127)) | (~v124(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB127)) | (~v124(constB127, bitIndex0)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14573,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB127)) | (~v124(constB127, bitIndex0)))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14574,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB127)) | (~v124(constB127, bitIndex0))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14573, 14572])).
% 25.31/16.66 tff(14575,plain,
% 25.31/16.66 (~v124(constB127, bitIndex0)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14574, 1410, 14410])).
% 25.31/16.66 tff(14576,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14577,plain,
% 25.31/16.66 ((v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0))) <=> ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14578,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0)))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14577])).
% 25.31/16.66 tff(14579,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14578, 14576])).
% 25.31/16.66 tff(14580,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB127) | v124(constB127, bitIndex0) | (~v121(constB127, bitIndex0)))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14581,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB127, bitIndex0)) | v26(constB127) | v124(constB127, bitIndex0)),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14580, 14579])).
% 25.31/16.66 tff(14582,plain,
% 25.31/16.66 ((~v121(constB127, bitIndex0)) | v124(constB127, bitIndex0)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14581, 890, 14436])).
% 25.31/16.66 tff(14583,plain,
% 25.31/16.66 (~v121(constB127, bitIndex0)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14582, 14575])).
% 25.31/16.66 tff(14584,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14585,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0)))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14586,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB127, constB128)) | v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14585, 14584])).
% 25.31/16.66 tff(14587,plain,
% 25.31/16.66 (v121(constB127, bitIndex0) | (~v123(constB128, bitIndex0))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14586, 908, 14454])).
% 25.31/16.66 tff(14588,plain,
% 25.31/16.66 (~v123(constB128, bitIndex0)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14587, 14583])).
% 25.31/16.66 tff(14589,plain,
% 25.31/16.66 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14590,plain,
% 25.31/16.66 (((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0)) <=> ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14591,plain,
% 25.31/16.66 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14590])).
% 25.31/16.66 tff(14592,plain,
% 25.31/16.66 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14591, 14589])).
% 25.31/16.66 tff(14593,plain,
% 25.31/16.66 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB128, bitIndex0)) | (~v94(constB128)) | v123(constB128, bitIndex0))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14594,plain,
% 25.31/16.66 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0) | (~v94(constB128))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14593, 14592])).
% 25.31/16.66 tff(14595,plain,
% 25.31/16.66 ((~v84(constB128, bitIndex0)) | (~v94(constB128))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14594, 923, 14588])).
% 25.31/16.66 tff(14596,plain,
% 25.31/16.66 (~v84(constB128, bitIndex0)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14595, 14488])).
% 25.31/16.66 tff(14597,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14598,plain,
% 25.31/16.66 (((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0))) <=> (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14599,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14598])).
% 25.31/16.66 tff(14600,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14599, 14597])).
% 25.31/16.66 tff(14601,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB128, constB129)) | v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0)))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14602,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB128, bitIndex0) | (~nextState(constB128, constB129)) | v94(constB129) | (~v84(constB129, bitIndex0))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14601, 14600])).
% 25.31/16.66 tff(14603,plain,
% 25.31/16.66 (v84(constB128, bitIndex0) | v94(constB129) | (~v84(constB129, bitIndex0))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14602, 147, 14516])).
% 25.31/16.66 tff(14604,plain,
% 25.31/16.66 (v84(constB128, bitIndex0) | (~v84(constB129, bitIndex0))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14603, 14528])).
% 25.31/16.66 tff(14605,plain,
% 25.31/16.66 (~v84(constB129, bitIndex0)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14604, 14596])).
% 25.31/16.66 tff(14606,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14607,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14608,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129)),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14607, 14606])).
% 25.31/16.66 tff(14609,plain,
% 25.31/16.66 (v172(constB129)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14608, 1454, 14605, 14571, 14537])).
% 25.31/16.66 tff(14610,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB129) | (~v172(constB129)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB129) | (~v172(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14611,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB129) | (~v172(constB129)))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14612,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB129) | (~v172(constB129))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14611, 14610])).
% 25.31/16.66 tff(14613,plain,
% 25.31/16.66 (v109(constB129)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14612, 1468, 14609])).
% 25.31/16.66 tff(14614,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v109(constB129)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v109(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14615,plain,
% 25.31/16.66 (((~v109(constB129)) | v108(constB129)) <=> (v108(constB129) | (~v109(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14616,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB129) | (~v109(constB129))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14615])).
% 25.31/16.66 tff(14617,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB129)) | v108(constB129))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v109(constB129)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14616, 14614])).
% 25.31/16.66 tff(14618,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB129)) | v108(constB129))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14619,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB129) | (~v109(constB129))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14618, 14617])).
% 25.31/16.66 tff(14620,plain,
% 25.31/16.66 (v108(constB129)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14619, 235, 14613])).
% 25.31/16.66 tff(14621,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB129) | (~v108(constB129)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB129) | (~v108(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14622,plain,
% 25.31/16.66 (((~v108(constB129)) | v107(constB129)) <=> (v107(constB129) | (~v108(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14623,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB129)) | v107(constB129))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB129) | (~v108(constB129))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14622])).
% 25.31/16.66 tff(14624,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB129)) | v107(constB129))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB129) | (~v108(constB129)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14623, 14621])).
% 25.31/16.66 tff(14625,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB129)) | v107(constB129))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14626,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB129) | (~v108(constB129))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14625, 14624])).
% 25.31/16.66 tff(14627,plain,
% 25.31/16.66 (v107(constB129)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14626, 249, 14620])).
% 25.31/16.66 tff(14628,assumption,(v26(constB129)), introduced(assumption)).
% 25.31/16.66 tff(14629,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB129))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14630,plain,
% 25.31/16.66 ($false),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14629, 18, 14628])).
% 25.31/16.66 tff(14631,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 25.31/16.66 tff(14632,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | v106(constB129) | (~v107(constB129)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14633,plain,
% 25.31/16.66 ((v26(constB129) | (~v107(constB129)) | v106(constB129)) <=> (v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14634,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | v106(constB129) | (~v107(constB129))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14633])).
% 25.31/16.66 tff(14635,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14634, 14632])).
% 25.31/16.66 tff(14636,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14637,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14636, 14635])).
% 25.31/16.66 tff(14638,plain,
% 25.31/16.66 (v106(constB129) | (~v107(constB129))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14637, 263, 14631])).
% 25.31/16.66 tff(14639,plain,
% 25.31/16.66 (v106(constB129)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14638, 14627])).
% 25.31/16.66 tff(14640,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB129) | (~v106(constB129)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB129) | (~v106(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14641,plain,
% 25.31/16.66 (((~v106(constB129)) | v102(constB129)) <=> (v102(constB129) | (~v106(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14642,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB129)) | v102(constB129))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB129) | (~v106(constB129))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14641])).
% 25.31/16.66 tff(14643,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB129)) | v102(constB129))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB129) | (~v106(constB129)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14642, 14640])).
% 25.31/16.66 tff(14644,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB129)) | v102(constB129))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14645,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB129) | (~v106(constB129))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14644, 14643])).
% 25.31/16.66 tff(14646,plain,
% 25.31/16.66 (v102(constB129)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14645, 275, 14639])).
% 25.31/16.66 tff(14647,plain,
% 25.31/16.66 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14648,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 25.31/16.66 tff(14649,plain,
% 25.31/16.66 (nextState(constB129, constB130)),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14648, 14647])).
% 25.31/16.66 tff(14650,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14651,plain,
% 25.31/16.66 (((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130)) <=> ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14652,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14651])).
% 25.31/16.66 tff(14653,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14652, 14650])).
% 25.31/16.66 tff(14654,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14655,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14654, 14653])).
% 25.31/16.66 tff(14656,plain,
% 25.31/16.66 (v104(constB130) | (~v102(constB129))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14655, 295, 14649])).
% 25.31/16.66 tff(14657,plain,
% 25.31/16.66 (v104(constB130)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14656, 14646])).
% 25.31/16.66 tff(14658,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14659,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14660,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14659, 14658])).
% 25.31/16.66 tff(14661,plain,
% 25.31/16.66 (~v98(constB130)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14660, 313, 14649, 14513])).
% 25.31/16.66 tff(14662,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14663,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14664,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130)),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14663, 14662])).
% 25.31/16.66 tff(14665,plain,
% 25.31/16.66 (v96(constB130) | v98(constB130)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14664, 327, 14649])).
% 25.31/16.66 tff(14666,plain,
% 25.31/16.66 (v96(constB130)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14665, 14661])).
% 25.31/16.66 tff(14667,plain,
% 25.31/16.66 (v1(constB130) <=> v1(constB130)),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14668,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 25.31/16.66 tff(14669,plain,
% 25.31/16.66 (v1(constB130)),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 25.31/16.66 tff(14670,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14671,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14672,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14671, 14670])).
% 25.31/16.66 tff(14673,plain,
% 25.31/16.66 (v95(constB130) | (~v96(constB130))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14672, 345, 14649, 14669])).
% 25.31/16.66 tff(14674,plain,
% 25.31/16.66 (v95(constB130)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14673, 14666])).
% 25.31/16.66 tff(14675,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14676,plain,
% 25.31/16.66 (((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130)) <=> ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14677,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14676])).
% 25.31/16.66 tff(14678,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130)))),
% 25.31/16.66 inference(transitivity,[status(thm)],[14677, 14675])).
% 25.31/16.66 tff(14679,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14680,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | v94(constB130) | (~v95(constB130)) | (~v104(constB130))),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14679, 14678])).
% 25.31/16.66 tff(14681,plain,
% 25.31/16.66 (v94(constB130) | (~v95(constB130)) | (~v104(constB130))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14680, 360, 14649])).
% 25.31/16.66 tff(14682,plain,
% 25.31/16.66 (v94(constB130) | (~v104(constB130))),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14681, 14674])).
% 25.31/16.66 tff(14683,plain,
% 25.31/16.66 (v94(constB130)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14682, 14657])).
% 25.31/16.66 tff(14684,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB129)) | v124(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB129)) | v124(constB129, bitIndex2))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14685,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB129)) | v124(constB129, bitIndex2))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14686,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB129)) | v124(constB129, bitIndex2)),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14685, 14684])).
% 25.31/16.66 tff(14687,plain,
% 25.31/16.66 (v124(constB129, bitIndex2)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14686, 1539, 14609])).
% 25.31/16.66 tff(14688,plain,
% 25.31/16.66 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB129) | (~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB129) | (~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14689,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB129) | (~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14690,plain,
% 25.31/16.66 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB129) | (~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2)),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14689, 14688])).
% 25.31/16.66 tff(14691,plain,
% 25.31/16.66 ((~v124(constB129, bitIndex2)) | v121(constB129, bitIndex2)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14690, 1287, 14631])).
% 25.31/16.66 tff(14692,plain,
% 25.31/16.66 (v121(constB129, bitIndex2)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14691, 14687])).
% 25.31/16.66 tff(14693,plain,
% 25.31/16.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14694,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2))),
% 25.31/16.66 inference(quant_inst,[status(thm)],[])).
% 25.31/16.66 tff(14695,plain,
% 25.31/16.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2)),
% 25.31/16.66 inference(modus_ponens,[status(thm)],[14694, 14693])).
% 25.31/16.66 tff(14696,plain,
% 25.31/16.66 ((~v121(constB129, bitIndex2)) | v123(constB130, bitIndex2)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14695, 1302, 14649])).
% 25.31/16.66 tff(14697,plain,
% 25.31/16.66 (v123(constB130, bitIndex2)),
% 25.31/16.66 inference(unit_resolution,[status(thm)],[14696, 14692])).
% 25.31/16.66 tff(14698,plain,
% 25.31/16.66 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14699,plain,
% 25.31/16.66 ((v84(constB130, bitIndex2) | (~v94(constB130)) | (~v123(constB130, bitIndex2))) <=> (v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130)))),
% 25.31/16.66 inference(rewrite,[status(thm)],[])).
% 25.31/16.66 tff(14700,plain,
% 25.31/16.66 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v94(constB130)) | (~v123(constB130, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130))))),
% 25.31/16.66 inference(monotonicity,[status(thm)],[14699])).
% 25.31/16.66 tff(14701,plain,
% 25.31/16.66 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v94(constB130)) | (~v123(constB130, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14700, 14698])).
% 25.31/16.67 tff(14702,plain,
% 25.31/16.67 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB130, bitIndex2) | (~v94(constB130)) | (~v123(constB130, bitIndex2)))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14703,plain,
% 25.31/16.67 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2)) | (~v94(constB130))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14702, 14701])).
% 25.31/16.67 tff(14704,plain,
% 25.31/16.67 (v84(constB130, bitIndex2) | (~v94(constB130))),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14703, 1317, 14697])).
% 25.31/16.67 tff(14705,plain,
% 25.31/16.67 (v84(constB130, bitIndex2)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14704, 14683])).
% 25.31/16.67 tff(14706,plain,
% 25.31/16.67 ((~v1(constB131)) <=> (~v1(constB131))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14707,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 25.31/16.67 tff(14708,plain,
% 25.31/16.67 (~v1(constB131)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14707, 14706])).
% 25.31/16.67 tff(14709,plain,
% 25.31/16.67 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14710,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 25.31/16.67 tff(14711,plain,
% 25.31/16.67 (nextState(constB130, constB131)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14710, 14709])).
% 25.31/16.67 tff(14712,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14713,plain,
% 25.31/16.67 (((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14714,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14713])).
% 25.31/16.67 tff(14715,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14714, 14712])).
% 25.31/16.67 tff(14716,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14717,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14716, 14715])).
% 25.31/16.67 tff(14718,plain,
% 25.31/16.67 (~v95(constB131)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14717, 73, 14711, 14708])).
% 25.31/16.67 tff(14719,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14720,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14721,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14720, 14719])).
% 25.31/16.67 tff(14722,plain,
% 25.31/16.67 (v95(constB131) | (~v94(constB131))),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14721, 90, 14711])).
% 25.31/16.67 tff(14723,plain,
% 25.31/16.67 (~v94(constB131)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14722, 14718])).
% 25.31/16.67 tff(14724,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14725,plain,
% 25.31/16.67 (((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2)) <=> ((~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14726,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2)))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14725])).
% 25.31/16.67 tff(14727,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14726, 14724])).
% 25.31/16.67 tff(14728,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14729,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB130, bitIndex2)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex2)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14728, 14727])).
% 25.31/16.67 tff(14730,plain,
% 25.31/16.67 ((~v84(constB130, bitIndex2)) | v94(constB131) | v84(constB131, bitIndex2)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14729, 1353, 14711])).
% 25.31/16.67 tff(14731,plain,
% 25.31/16.67 ((~v84(constB130, bitIndex2)) | v84(constB131, bitIndex2)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14730, 14723])).
% 25.31/16.67 tff(14732,plain,
% 25.31/16.67 (v84(constB131, bitIndex2)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14731, 14705])).
% 25.31/16.67 tff(14733,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB129)) | (~v124(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB129)) | (~v124(constB129, bitIndex1)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14734,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB129)) | (~v124(constB129, bitIndex1)))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14735,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB129)) | (~v124(constB129, bitIndex1))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14734, 14733])).
% 25.31/16.67 tff(14736,plain,
% 25.31/16.67 (~v124(constB129, bitIndex1)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14735, 1595, 14609])).
% 25.31/16.67 tff(14737,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14738,plain,
% 25.31/16.67 ((v26(constB129) | v124(constB129, bitIndex1) | (~v121(constB129, bitIndex1))) <=> ((~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14739,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB129) | v124(constB129, bitIndex1) | (~v121(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1)))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14738])).
% 25.31/16.67 tff(14740,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB129) | v124(constB129, bitIndex1) | (~v121(constB129, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14739, 14737])).
% 25.31/16.67 tff(14741,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB129) | v124(constB129, bitIndex1) | (~v121(constB129, bitIndex1)))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14742,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB129, bitIndex1)) | v26(constB129) | v124(constB129, bitIndex1)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14741, 14740])).
% 25.31/16.67 tff(14743,plain,
% 25.31/16.67 ((~v121(constB129, bitIndex1)) | v124(constB129, bitIndex1)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14742, 476, 14631])).
% 25.31/16.67 tff(14744,plain,
% 25.31/16.67 (~v121(constB129, bitIndex1)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14743, 14736])).
% 25.31/16.67 tff(14745,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14746,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB129, constB130)) | v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1)))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14747,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB129, constB130)) | v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14746, 14745])).
% 25.31/16.67 tff(14748,plain,
% 25.31/16.67 (v121(constB129, bitIndex1) | (~v123(constB130, bitIndex1))),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14747, 494, 14649])).
% 25.31/16.67 tff(14749,plain,
% 25.31/16.67 (~v123(constB130, bitIndex1)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14748, 14744])).
% 25.31/16.67 tff(14750,plain,
% 25.31/16.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14751,plain,
% 25.31/16.67 (((~v84(constB130, bitIndex1)) | (~v94(constB130)) | v123(constB130, bitIndex1)) <=> ((~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14752,plain,
% 25.31/16.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~v94(constB130)) | v123(constB130, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130))))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14751])).
% 25.31/16.67 tff(14753,plain,
% 25.31/16.67 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~v94(constB130)) | v123(constB130, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14752, 14750])).
% 25.31/16.67 tff(14754,plain,
% 25.31/16.67 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB130, bitIndex1)) | (~v94(constB130)) | v123(constB130, bitIndex1))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14755,plain,
% 25.31/16.67 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1) | (~v94(constB130))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14754, 14753])).
% 25.31/16.67 tff(14756,plain,
% 25.31/16.67 ((~v84(constB130, bitIndex1)) | (~v94(constB130))),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14755, 509, 14749])).
% 25.31/16.67 tff(14757,plain,
% 25.31/16.67 (~v84(constB130, bitIndex1)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14756, 14683])).
% 25.31/16.67 tff(14758,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14759,plain,
% 25.31/16.67 (((~nextState(constB130, constB131)) | v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1))) <=> (v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14760,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1))))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14759])).
% 25.31/16.67 tff(14761,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14760, 14758])).
% 25.31/16.67 tff(14762,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB130, constB131)) | v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1)))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14763,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB130, bitIndex1) | (~nextState(constB130, constB131)) | v94(constB131) | (~v84(constB131, bitIndex1))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14762, 14761])).
% 25.31/16.67 tff(14764,plain,
% 25.31/16.67 (v84(constB130, bitIndex1) | v94(constB131) | (~v84(constB131, bitIndex1))),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14763, 126, 14711])).
% 25.31/16.67 tff(14765,plain,
% 25.31/16.67 (v84(constB130, bitIndex1) | (~v84(constB131, bitIndex1))),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14764, 14723])).
% 25.31/16.67 tff(14766,plain,
% 25.31/16.67 (~v84(constB131, bitIndex1)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14765, 14757])).
% 25.31/16.67 tff(14767,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB129)) | v124(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB129)) | v124(constB129, bitIndex0))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14768,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB129)) | v124(constB129, bitIndex0))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14769,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB129)) | v124(constB129, bitIndex0)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14768, 14767])).
% 25.31/16.67 tff(14770,plain,
% 25.31/16.67 (v124(constB129, bitIndex0)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14769, 1636, 14609])).
% 25.31/16.67 tff(14771,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14772,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14773,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB129) | (~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14772, 14771])).
% 25.31/16.67 tff(14774,plain,
% 25.31/16.67 ((~v124(constB129, bitIndex0)) | v121(constB129, bitIndex0)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14773, 547, 14631])).
% 25.31/16.67 tff(14775,plain,
% 25.31/16.67 (v121(constB129, bitIndex0)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14774, 14770])).
% 25.31/16.67 tff(14776,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14777,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14778,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB129, constB130)) | (~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14777, 14776])).
% 25.31/16.67 tff(14779,plain,
% 25.31/16.67 ((~v121(constB129, bitIndex0)) | v123(constB130, bitIndex0)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14778, 562, 14649])).
% 25.31/16.67 tff(14780,plain,
% 25.31/16.67 (v123(constB130, bitIndex0)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14779, 14775])).
% 25.31/16.67 tff(14781,plain,
% 25.31/16.67 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14782,plain,
% 25.31/16.67 ((v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0))) <=> (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14783,plain,
% 25.31/16.67 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130))))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14782])).
% 25.31/16.67 tff(14784,plain,
% 25.31/16.67 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14783, 14781])).
% 25.31/16.67 tff(14785,plain,
% 25.31/16.67 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB130, bitIndex0) | (~v94(constB130)) | (~v123(constB130, bitIndex0)))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14786,plain,
% 25.31/16.67 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0)) | (~v94(constB130))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14785, 14784])).
% 25.31/16.67 tff(14787,plain,
% 25.31/16.67 (v84(constB130, bitIndex0) | (~v94(constB130))),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14786, 577, 14780])).
% 25.31/16.67 tff(14788,plain,
% 25.31/16.67 (v84(constB130, bitIndex0)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14787, 14683])).
% 25.31/16.67 tff(14789,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14790,plain,
% 25.31/16.67 (((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0)) <=> ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14791,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0)))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14790])).
% 25.31/16.67 tff(14792,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14791, 14789])).
% 25.31/16.67 tff(14793,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB130, constB131)) | (~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14794,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB130, bitIndex0)) | (~nextState(constB130, constB131)) | v94(constB131) | v84(constB131, bitIndex0)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14793, 14792])).
% 25.31/16.67 tff(14795,plain,
% 25.31/16.67 ((~v84(constB130, bitIndex0)) | v94(constB131) | v84(constB131, bitIndex0)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14794, 595, 14711])).
% 25.31/16.67 tff(14796,plain,
% 25.31/16.67 ((~v84(constB130, bitIndex0)) | v84(constB131, bitIndex0)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14795, 14723])).
% 25.31/16.67 tff(14797,plain,
% 25.31/16.67 (v84(constB131, bitIndex0)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14796, 14788])).
% 25.31/16.67 tff(14798,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14799,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14800,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14799, 14798])).
% 25.31/16.67 tff(14801,plain,
% 25.31/16.67 (v118(constB131)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14800, 1677, 14797, 14766, 14732])).
% 25.31/16.67 tff(14802,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v118(constB131)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v118(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14803,plain,
% 25.31/16.67 (((~v118(constB131)) | v108(constB131)) <=> (v108(constB131) | (~v118(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14804,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB131) | (~v118(constB131))))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14803])).
% 25.31/16.67 tff(14805,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB131)) | v108(constB131))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v118(constB131)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14804, 14802])).
% 25.31/16.67 tff(14806,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB131)) | v108(constB131))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14807,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB131) | (~v118(constB131))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 25.31/16.67 tff(14808,plain,
% 25.31/16.67 (v108(constB131)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14807, 1688, 14801])).
% 25.31/16.67 tff(14809,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB131) | (~v108(constB131)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB131) | (~v108(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14810,plain,
% 25.31/16.67 (((~v108(constB131)) | v107(constB131)) <=> (v107(constB131) | (~v108(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14811,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB131)) | v107(constB131))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB131) | (~v108(constB131))))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14810])).
% 25.31/16.67 tff(14812,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB131)) | v107(constB131))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB131) | (~v108(constB131)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14811, 14809])).
% 25.31/16.67 tff(14813,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB131)) | v107(constB131))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14814,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB131) | (~v108(constB131))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14813, 14812])).
% 25.31/16.67 tff(14815,plain,
% 25.31/16.67 (v107(constB131)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14814, 249, 14808])).
% 25.31/16.67 tff(14816,assumption,(~v102(constB131)), introduced(assumption)).
% 25.31/16.67 tff(14817,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB131) | (~v106(constB131)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v106(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14818,plain,
% 25.31/16.67 (((~v106(constB131)) | v102(constB131)) <=> (v102(constB131) | (~v106(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14819,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB131)) | v102(constB131))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB131) | (~v106(constB131))))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14818])).
% 25.31/16.67 tff(14820,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB131)) | v102(constB131))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v106(constB131)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14819, 14817])).
% 25.31/16.67 tff(14821,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB131)) | v102(constB131))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14822,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v106(constB131))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14821, 14820])).
% 25.31/16.67 tff(14823,plain,
% 25.31/16.67 (~v106(constB131)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14822, 275, 14816])).
% 25.31/16.67 tff(14824,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB131) | (~v26(constB131)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v26(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14825,plain,
% 25.31/16.67 (((~v26(constB131)) | v102(constB131)) <=> (v102(constB131) | (~v26(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14826,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB131)) | v102(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB131) | (~v26(constB131))))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14825])).
% 25.31/16.67 tff(14827,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB131)) | v102(constB131))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v26(constB131)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14826, 14824])).
% 25.31/16.67 tff(14828,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB131)) | v102(constB131))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14829,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB131) | (~v26(constB131))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14828, 14827])).
% 25.31/16.67 tff(14830,plain,
% 25.31/16.67 (~v26(constB131)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14829, 660, 14816])).
% 25.31/16.67 tff(14831,assumption,(v107(constB131)), introduced(assumption)).
% 25.31/16.67 tff(14832,plain,
% 25.31/16.67 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14833,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14834,plain,
% 25.31/16.67 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 25.31/16.67 tff(14835,plain,
% 25.31/16.67 (v26(constB131) | v106(constB131)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14834, 263, 14831])).
% 25.31/16.67 tff(14836,plain,
% 25.31/16.67 ($false),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14835, 14830, 14823])).
% 25.31/16.67 tff(14837,plain,(v102(constB131) | (~v107(constB131))), inference(lemma,lemma(discharge,[]))).
% 25.31/16.67 tff(14838,plain,
% 25.31/16.67 (v102(constB131)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14837, 14815])).
% 25.31/16.67 tff(14839,plain,
% 25.31/16.67 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14840,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 25.31/16.67 tff(14841,plain,
% 25.31/16.67 (nextState(constB131, constB132)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14840, 14839])).
% 25.31/16.67 tff(14842,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14843,plain,
% 25.31/16.67 (((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132)) <=> ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14844,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))))),
% 25.31/16.67 inference(monotonicity,[status(thm)],[14843])).
% 25.31/16.67 tff(14845,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 25.31/16.67 inference(transitivity,[status(thm)],[14844, 14842])).
% 25.31/16.67 tff(14846,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14847,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14846, 14845])).
% 25.31/16.67 tff(14848,plain,
% 25.31/16.67 (v104(constB132) | (~v102(constB131))),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14847, 295, 14841])).
% 25.31/16.67 tff(14849,plain,
% 25.31/16.67 (v104(constB132)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14848, 14838])).
% 25.31/16.67 tff(14850,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14851,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14852,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132))),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14851, 14850])).
% 25.31/16.67 tff(14853,plain,
% 25.31/16.67 (~v98(constB132)),
% 25.31/16.67 inference(unit_resolution,[status(thm)],[14852, 313, 14841, 14708])).
% 25.31/16.67 tff(14854,plain,
% 25.31/16.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 25.31/16.67 inference(rewrite,[status(thm)],[])).
% 25.31/16.67 tff(14855,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 25.31/16.67 inference(quant_inst,[status(thm)],[])).
% 25.31/16.67 tff(14856,plain,
% 25.31/16.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132)),
% 25.31/16.67 inference(modus_ponens,[status(thm)],[14855, 14854])).
% 25.31/16.68 tff(14857,plain,
% 25.31/16.68 (v96(constB132) | v98(constB132)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14856, 327, 14841])).
% 25.31/16.68 tff(14858,plain,
% 25.31/16.68 (v96(constB132)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14857, 14853])).
% 25.31/16.68 tff(14859,plain,
% 25.31/16.68 (v1(constB132) <=> v1(constB132)),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14860,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 25.31/16.68 tff(14861,plain,
% 25.31/16.68 (v1(constB132)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14860, 14859])).
% 25.31/16.68 tff(14862,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14863,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14864,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132))),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14863, 14862])).
% 25.31/16.68 tff(14865,plain,
% 25.31/16.68 (v95(constB132) | (~v96(constB132))),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14864, 345, 14841, 14861])).
% 25.31/16.68 tff(14866,plain,
% 25.31/16.68 (v95(constB132)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14865, 14858])).
% 25.31/16.68 tff(14867,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14868,plain,
% 25.31/16.68 (((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132)) <=> ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14869,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132))))),
% 25.31/16.68 inference(monotonicity,[status(thm)],[14868])).
% 25.31/16.68 tff(14870,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132)))),
% 25.31/16.68 inference(transitivity,[status(thm)],[14869, 14867])).
% 25.31/16.68 tff(14871,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14872,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | v94(constB132) | (~v95(constB132)) | (~v104(constB132))),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14871, 14870])).
% 25.31/16.68 tff(14873,plain,
% 25.31/16.68 (v94(constB132) | (~v95(constB132)) | (~v104(constB132))),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14872, 360, 14841])).
% 25.31/16.68 tff(14874,plain,
% 25.31/16.68 (v94(constB132) | (~v104(constB132))),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14873, 14866])).
% 25.31/16.68 tff(14875,plain,
% 25.31/16.68 (v94(constB132)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14874, 14849])).
% 25.31/16.68 tff(14876,plain,
% 25.31/16.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB131)) | v124(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB131)) | v124(constB131, bitIndex2))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14877,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB131)) | v124(constB131, bitIndex2))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14878,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB131)) | v124(constB131, bitIndex2)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14877, 14876])).
% 25.31/16.68 tff(14879,plain,
% 25.31/16.68 (v124(constB131, bitIndex2)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14878, 1761, 14801])).
% 25.31/16.68 tff(14880,assumption,(v26(constB131)), introduced(assumption)).
% 25.31/16.68 tff(14881,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB131))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14882,plain,
% 25.31/16.68 ($false),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14881, 18, 14880])).
% 25.31/16.68 tff(14883,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 25.31/16.68 tff(14884,plain,
% 25.31/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14885,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14886,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB131) | (~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14885, 14884])).
% 25.31/16.68 tff(14887,plain,
% 25.31/16.68 ((~v124(constB131, bitIndex2)) | v121(constB131, bitIndex2)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14886, 1287, 14883])).
% 25.31/16.68 tff(14888,plain,
% 25.31/16.68 (v121(constB131, bitIndex2)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14887, 14879])).
% 25.31/16.68 tff(14889,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14890,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14891,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 25.31/16.68 tff(14892,plain,
% 25.31/16.68 ((~v121(constB131, bitIndex2)) | v123(constB132, bitIndex2)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14891, 1302, 14841])).
% 25.31/16.68 tff(14893,plain,
% 25.31/16.68 (v123(constB132, bitIndex2)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14892, 14888])).
% 25.31/16.68 tff(14894,plain,
% 25.31/16.68 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14895,plain,
% 25.31/16.68 ((v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2))) <=> (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14896,plain,
% 25.31/16.68 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132))))),
% 25.31/16.68 inference(monotonicity,[status(thm)],[14895])).
% 25.31/16.68 tff(14897,plain,
% 25.31/16.68 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132)))),
% 25.31/16.68 inference(transitivity,[status(thm)],[14896, 14894])).
% 25.31/16.68 tff(14898,plain,
% 25.31/16.68 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB132, bitIndex2) | (~v94(constB132)) | (~v123(constB132, bitIndex2)))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14899,plain,
% 25.31/16.68 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2)) | (~v94(constB132))),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14898, 14897])).
% 25.31/16.68 tff(14900,plain,
% 25.31/16.68 (v84(constB132, bitIndex2) | (~v94(constB132))),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14899, 1317, 14893])).
% 25.31/16.68 tff(14901,plain,
% 25.31/16.68 (v84(constB132, bitIndex2)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14900, 14875])).
% 25.31/16.68 tff(14902,plain,
% 25.31/16.68 ((~v1(constB133)) <=> (~v1(constB133))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14903,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 25.31/16.68 tff(14904,plain,
% 25.31/16.68 (~v1(constB133)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14903, 14902])).
% 25.31/16.68 tff(14905,plain,
% 25.31/16.68 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14906,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 25.31/16.68 tff(14907,plain,
% 25.31/16.68 (nextState(constB132, constB133)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14906, 14905])).
% 25.31/16.68 tff(14908,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14909,plain,
% 25.31/16.68 (((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14910,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))))),
% 25.31/16.68 inference(monotonicity,[status(thm)],[14909])).
% 25.31/16.68 tff(14911,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 25.31/16.68 inference(transitivity,[status(thm)],[14910, 14908])).
% 25.31/16.68 tff(14912,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14913,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14912, 14911])).
% 25.31/16.68 tff(14914,plain,
% 25.31/16.68 (~v95(constB133)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14913, 73, 14907, 14904])).
% 25.31/16.68 tff(14915,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14916,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14917,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133))),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14916, 14915])).
% 25.31/16.68 tff(14918,plain,
% 25.31/16.68 (v95(constB133) | (~v94(constB133))),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14917, 90, 14907])).
% 25.31/16.68 tff(14919,plain,
% 25.31/16.68 (~v94(constB133)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14918, 14914])).
% 25.31/16.68 tff(14920,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14921,plain,
% 25.31/16.68 (((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2)) <=> ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14922,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2)))),
% 25.31/16.68 inference(monotonicity,[status(thm)],[14921])).
% 25.31/16.68 tff(14923,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2))),
% 25.31/16.68 inference(transitivity,[status(thm)],[14922, 14920])).
% 25.31/16.68 tff(14924,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14925,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB132, bitIndex2)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex2)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14924, 14923])).
% 25.31/16.68 tff(14926,plain,
% 25.31/16.68 ((~v84(constB132, bitIndex2)) | v94(constB133) | v84(constB133, bitIndex2)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14925, 1353, 14907])).
% 25.31/16.68 tff(14927,plain,
% 25.31/16.68 ((~v84(constB132, bitIndex2)) | v84(constB133, bitIndex2)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14926, 14919])).
% 25.31/16.68 tff(14928,plain,
% 25.31/16.68 (v84(constB133, bitIndex2)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14927, 14901])).
% 25.31/16.68 tff(14929,plain,
% 25.31/16.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB131)) | v124(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB131)) | v124(constB131, bitIndex1))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14930,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB131)) | v124(constB131, bitIndex1))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14931,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB131)) | v124(constB131, bitIndex1)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14930, 14929])).
% 25.31/16.68 tff(14932,plain,
% 25.31/16.68 (v124(constB131, bitIndex1)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14931, 1817, 14801])).
% 25.31/16.68 tff(14933,plain,
% 25.31/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB131) | (~v124(constB131, bitIndex1)) | v121(constB131, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB131) | (~v124(constB131, bitIndex1)) | v121(constB131, bitIndex1))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14934,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB131) | (~v124(constB131, bitIndex1)) | v121(constB131, bitIndex1))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14935,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB131) | (~v124(constB131, bitIndex1)) | v121(constB131, bitIndex1)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14934, 14933])).
% 25.31/16.68 tff(14936,plain,
% 25.31/16.68 ((~v124(constB131, bitIndex1)) | v121(constB131, bitIndex1)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14935, 812, 14883])).
% 25.31/16.68 tff(14937,plain,
% 25.31/16.68 (v121(constB131, bitIndex1)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14936, 14932])).
% 25.31/16.68 tff(14938,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14939,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB131, constB132)) | (~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14940,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB131, constB132)) | (~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14939, 14938])).
% 25.31/16.68 tff(14941,plain,
% 25.31/16.68 ((~v121(constB131, bitIndex1)) | v123(constB132, bitIndex1)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14940, 827, 14841])).
% 25.31/16.68 tff(14942,plain,
% 25.31/16.68 (v123(constB132, bitIndex1)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14941, 14937])).
% 25.31/16.68 tff(14943,plain,
% 25.31/16.68 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14944,plain,
% 25.31/16.68 ((v84(constB132, bitIndex1) | (~v94(constB132)) | (~v123(constB132, bitIndex1))) <=> (v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14945,plain,
% 25.31/16.68 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v94(constB132)) | (~v123(constB132, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132))))),
% 25.31/16.68 inference(monotonicity,[status(thm)],[14944])).
% 25.31/16.68 tff(14946,plain,
% 25.31/16.68 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v94(constB132)) | (~v123(constB132, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132)))),
% 25.31/16.68 inference(transitivity,[status(thm)],[14945, 14943])).
% 25.31/16.68 tff(14947,plain,
% 25.31/16.68 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB132, bitIndex1) | (~v94(constB132)) | (~v123(constB132, bitIndex1)))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14948,plain,
% 25.31/16.68 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1)) | (~v94(constB132))),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14947, 14946])).
% 25.31/16.68 tff(14949,plain,
% 25.31/16.68 (v84(constB132, bitIndex1) | (~v94(constB132))),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14948, 842, 14942])).
% 25.31/16.68 tff(14950,plain,
% 25.31/16.68 (v84(constB132, bitIndex1)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14949, 14875])).
% 25.31/16.68 tff(14951,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14952,plain,
% 25.31/16.68 (((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1)) <=> ((~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14953,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1)))),
% 25.31/16.68 inference(monotonicity,[status(thm)],[14952])).
% 25.31/16.68 tff(14954,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1))),
% 25.31/16.68 inference(transitivity,[status(thm)],[14953, 14951])).
% 25.31/16.68 tff(14955,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB132, constB133)) | (~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14956,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB132, bitIndex1)) | (~nextState(constB132, constB133)) | v94(constB133) | v84(constB133, bitIndex1)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14955, 14954])).
% 25.31/16.68 tff(14957,plain,
% 25.31/16.68 ((~v84(constB132, bitIndex1)) | v94(constB133) | v84(constB133, bitIndex1)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14956, 860, 14907])).
% 25.31/16.68 tff(14958,plain,
% 25.31/16.68 ((~v84(constB132, bitIndex1)) | v84(constB133, bitIndex1)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14957, 14919])).
% 25.31/16.68 tff(14959,plain,
% 25.31/16.68 (v84(constB133, bitIndex1)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14958, 14950])).
% 25.31/16.68 tff(14960,plain,
% 25.31/16.68 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB131)) | (~v124(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB131)) | (~v124(constB131, bitIndex0)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14961,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB131)) | (~v124(constB131, bitIndex0)))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14962,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB131)) | (~v124(constB131, bitIndex0))),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14961, 14960])).
% 25.31/16.68 tff(14963,plain,
% 25.31/16.68 (~v124(constB131, bitIndex0)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14962, 1855, 14801])).
% 25.31/16.68 tff(14964,plain,
% 25.31/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14965,plain,
% 25.31/16.68 ((v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0))) <=> ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14966,plain,
% 25.31/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0)))),
% 25.31/16.68 inference(monotonicity,[status(thm)],[14965])).
% 25.31/16.68 tff(14967,plain,
% 25.31/16.68 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0))),
% 25.31/16.68 inference(transitivity,[status(thm)],[14966, 14964])).
% 25.31/16.68 tff(14968,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB131) | v124(constB131, bitIndex0) | (~v121(constB131, bitIndex0)))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14969,plain,
% 25.31/16.68 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB131, bitIndex0)) | v26(constB131) | v124(constB131, bitIndex0)),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14968, 14967])).
% 25.31/16.68 tff(14970,plain,
% 25.31/16.68 ((~v121(constB131, bitIndex0)) | v124(constB131, bitIndex0)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14969, 890, 14883])).
% 25.31/16.68 tff(14971,plain,
% 25.31/16.68 (~v121(constB131, bitIndex0)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14970, 14963])).
% 25.31/16.68 tff(14972,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14973,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0)))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14974,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB131, constB132)) | v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0))),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 25.31/16.68 tff(14975,plain,
% 25.31/16.68 (v121(constB131, bitIndex0) | (~v123(constB132, bitIndex0))),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14974, 908, 14841])).
% 25.31/16.68 tff(14976,plain,
% 25.31/16.68 (~v123(constB132, bitIndex0)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14975, 14971])).
% 25.31/16.68 tff(14977,plain,
% 25.31/16.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14978,plain,
% 25.31/16.68 (((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0)) <=> ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14979,plain,
% 25.31/16.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132))))),
% 25.31/16.68 inference(monotonicity,[status(thm)],[14978])).
% 25.31/16.68 tff(14980,plain,
% 25.31/16.68 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132)))),
% 25.31/16.68 inference(transitivity,[status(thm)],[14979, 14977])).
% 25.31/16.68 tff(14981,plain,
% 25.31/16.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB132, bitIndex0)) | (~v94(constB132)) | v123(constB132, bitIndex0))),
% 25.31/16.68 inference(quant_inst,[status(thm)],[])).
% 25.31/16.68 tff(14982,plain,
% 25.31/16.68 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0) | (~v94(constB132))),
% 25.31/16.68 inference(modus_ponens,[status(thm)],[14981, 14980])).
% 25.31/16.68 tff(14983,plain,
% 25.31/16.68 ((~v84(constB132, bitIndex0)) | (~v94(constB132))),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14982, 923, 14976])).
% 25.31/16.68 tff(14984,plain,
% 25.31/16.68 (~v84(constB132, bitIndex0)),
% 25.31/16.68 inference(unit_resolution,[status(thm)],[14983, 14875])).
% 25.31/16.68 tff(14985,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14986,plain,
% 25.31/16.68 (((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0))) <=> (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 25.31/16.68 inference(rewrite,[status(thm)],[])).
% 25.31/16.68 tff(14987,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0))))),
% 25.31/16.68 inference(monotonicity,[status(thm)],[14986])).
% 25.31/16.68 tff(14988,plain,
% 25.31/16.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 25.31/16.68 inference(transitivity,[status(thm)],[14987, 14985])).
% 25.31/16.68 tff(14989,plain,
% 25.31/16.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB132, constB133)) | v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(14990,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB132, bitIndex0) | (~nextState(constB132, constB133)) | v94(constB133) | (~v84(constB133, bitIndex0))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[14989, 14988])).
% 25.31/16.69 tff(14991,plain,
% 25.31/16.69 (v84(constB132, bitIndex0) | v94(constB133) | (~v84(constB133, bitIndex0))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[14990, 147, 14907])).
% 25.31/16.69 tff(14992,plain,
% 25.31/16.69 (v84(constB132, bitIndex0) | (~v84(constB133, bitIndex0))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[14991, 14919])).
% 25.31/16.69 tff(14993,plain,
% 25.31/16.69 (~v84(constB133, bitIndex0)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[14992, 14984])).
% 25.31/16.69 tff(14994,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)) | v119(constB133))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)) | v119(constB133))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(14995,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)) | v119(constB133))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(14996,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)) | v119(constB133)),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[14995, 14994])).
% 25.31/16.69 tff(14997,plain,
% 25.31/16.69 (v119(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[14996, 1899, 14993, 14959, 14928])).
% 25.31/16.69 tff(14998,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB133)) | v107(constB133))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB133)) | v107(constB133))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(14999,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB133)) | v107(constB133))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15000,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB133)) | v107(constB133)),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[14999, 14998])).
% 25.31/16.69 tff(15001,plain,
% 25.31/16.69 (v107(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15000, 1910, 14997])).
% 25.31/16.69 tff(15002,assumption,(v26(constB133)), introduced(assumption)).
% 25.31/16.69 tff(15003,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB133))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15004,plain,
% 25.31/16.69 ($false),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15003, 18, 15002])).
% 25.31/16.69 tff(15005,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 25.31/16.69 tff(15006,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | (~v107(constB133)) | v106(constB133))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15007,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15008,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | (~v107(constB133)) | v106(constB133)),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15007, 15006])).
% 25.31/16.69 tff(15009,plain,
% 25.31/16.69 ((~v107(constB133)) | v106(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15008, 263, 15005])).
% 25.31/16.69 tff(15010,plain,
% 25.31/16.69 (v106(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15009, 15001])).
% 25.31/16.69 tff(15011,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB133) | (~v106(constB133)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB133) | (~v106(constB133)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15012,plain,
% 25.31/16.69 (((~v106(constB133)) | v102(constB133)) <=> (v102(constB133) | (~v106(constB133)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15013,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB133)) | v102(constB133))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB133) | (~v106(constB133))))),
% 25.31/16.69 inference(monotonicity,[status(thm)],[15012])).
% 25.31/16.69 tff(15014,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB133)) | v102(constB133))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB133) | (~v106(constB133)))),
% 25.31/16.69 inference(transitivity,[status(thm)],[15013, 15011])).
% 25.31/16.69 tff(15015,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB133)) | v102(constB133))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15016,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB133) | (~v106(constB133))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15015, 15014])).
% 25.31/16.69 tff(15017,plain,
% 25.31/16.69 (v102(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15016, 275, 15010])).
% 25.31/16.69 tff(15018,plain,
% 25.31/16.69 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15019,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 25.31/16.69 tff(15020,plain,
% 25.31/16.69 (nextState(constB133, constB134)),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15019, 15018])).
% 25.31/16.69 tff(15021,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15022,plain,
% 25.31/16.69 (((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134)) <=> ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15023,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))))),
% 25.31/16.69 inference(monotonicity,[status(thm)],[15022])).
% 25.31/16.69 tff(15024,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 25.31/16.69 inference(transitivity,[status(thm)],[15023, 15021])).
% 25.31/16.69 tff(15025,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15026,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15025, 15024])).
% 25.31/16.69 tff(15027,plain,
% 25.31/16.69 (v104(constB134) | (~v102(constB133))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15026, 295, 15020])).
% 25.31/16.69 tff(15028,plain,
% 25.31/16.69 (v104(constB134)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15027, 15017])).
% 25.31/16.69 tff(15029,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15030,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15031,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15030, 15029])).
% 25.31/16.69 tff(15032,plain,
% 25.31/16.69 (~v98(constB134)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15031, 313, 15020, 14904])).
% 25.31/16.69 tff(15033,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15034,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15035,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134)),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15034, 15033])).
% 25.31/16.69 tff(15036,plain,
% 25.31/16.69 (v96(constB134) | v98(constB134)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15035, 327, 15020])).
% 25.31/16.69 tff(15037,plain,
% 25.31/16.69 (v96(constB134)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15036, 15032])).
% 25.31/16.69 tff(15038,plain,
% 25.31/16.69 (v1(constB134) <=> v1(constB134)),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15039,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 25.31/16.69 tff(15040,plain,
% 25.31/16.69 (v1(constB134)),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15039, 15038])).
% 25.31/16.69 tff(15041,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15042,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15043,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15042, 15041])).
% 25.31/16.69 tff(15044,plain,
% 25.31/16.69 (v95(constB134) | (~v96(constB134))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15043, 345, 15020, 15040])).
% 25.31/16.69 tff(15045,plain,
% 25.31/16.69 (v95(constB134)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15044, 15037])).
% 25.31/16.69 tff(15046,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15047,plain,
% 25.31/16.69 (((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134)) <=> ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15048,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134))))),
% 25.31/16.69 inference(monotonicity,[status(thm)],[15047])).
% 25.31/16.69 tff(15049,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134)))),
% 25.31/16.69 inference(transitivity,[status(thm)],[15048, 15046])).
% 25.31/16.69 tff(15050,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15051,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | v94(constB134) | (~v95(constB134)) | (~v104(constB134))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15050, 15049])).
% 25.31/16.69 tff(15052,plain,
% 25.31/16.69 (v94(constB134) | (~v95(constB134)) | (~v104(constB134))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15051, 360, 15020])).
% 25.31/16.69 tff(15053,plain,
% 25.31/16.69 (v94(constB134) | (~v104(constB134))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15052, 15045])).
% 25.31/16.69 tff(15054,plain,
% 25.31/16.69 (v94(constB134)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15053, 15028])).
% 25.31/16.69 tff(15055,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB133)) | (~v84(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB133)) | (~v84(constB133, bitIndex2)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15056,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB133)) | (~v84(constB133, bitIndex2)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15057,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB133)) | (~v84(constB133, bitIndex2))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15056, 15055])).
% 25.31/16.69 tff(15058,plain,
% 25.31/16.69 (~v115(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15057, 1974, 14928])).
% 25.31/16.69 tff(15059,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB133)) | (~v84(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB133)) | (~v84(constB133, bitIndex2)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15060,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB133)) | (~v84(constB133, bitIndex2)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15061,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB133)) | (~v84(constB133, bitIndex2))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 25.31/16.69 tff(15062,plain,
% 25.31/16.69 (~v116(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15061, 1985, 14928])).
% 25.31/16.69 tff(15063,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB133)) | (~v84(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB133)) | (~v84(constB133, bitIndex1)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15064,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB133)) | (~v84(constB133, bitIndex1)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15065,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB133)) | (~v84(constB133, bitIndex1))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15064, 15063])).
% 25.31/16.69 tff(15066,plain,
% 25.31/16.69 (~v113(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15065, 1996, 14959])).
% 25.31/16.69 tff(15067,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB133)) | (~v84(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB133)) | (~v84(constB133, bitIndex1)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15068,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB133)) | (~v84(constB133, bitIndex1)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15069,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB133)) | (~v84(constB133, bitIndex1))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15068, 15067])).
% 25.31/16.69 tff(15070,plain,
% 25.31/16.69 (~v118(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15069, 2007, 14959])).
% 25.31/16.69 tff(15071,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB133)) | (~v84(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB133)) | (~v84(constB133, bitIndex1)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15072,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB133)) | (~v84(constB133, bitIndex1)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15073,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB133)) | (~v84(constB133, bitIndex1))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15072, 15071])).
% 25.31/16.69 tff(15074,plain,
% 25.31/16.69 (~v172(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15073, 2029, 14959])).
% 25.31/16.69 tff(15075,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB133)) | (~v84(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB133)) | (~v84(constB133, bitIndex1)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15076,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB133)) | (~v84(constB133, bitIndex1)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15077,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB133)) | (~v84(constB133, bitIndex1))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15076, 15075])).
% 25.31/16.69 tff(15078,plain,
% 25.31/16.69 (~v145(constB133)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15077, 2018, 14959])).
% 25.31/16.69 tff(15079,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex2)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15080,plain,
% 25.31/16.69 ((v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex2))) <=> (v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex2)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15081,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex2))))),
% 25.31/16.69 inference(monotonicity,[status(thm)],[15080])).
% 25.31/16.69 tff(15082,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex2)))),
% 25.31/16.69 inference(transitivity,[status(thm)],[15081, 15079])).
% 25.31/16.69 tff(15083,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex2)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15084,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex2))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15083, 15082])).
% 25.31/16.69 tff(15085,plain,
% 25.31/16.69 (~v124(constB133, bitIndex2)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15084, 2043, 15078, 15074, 15070, 15066, 15062, 15058])).
% 25.31/16.69 tff(15086,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15087,plain,
% 25.31/16.69 ((v26(constB133) | v124(constB133, bitIndex2) | (~v121(constB133, bitIndex2))) <=> ((~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15088,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB133) | v124(constB133, bitIndex2) | (~v121(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2)))),
% 25.31/16.69 inference(monotonicity,[status(thm)],[15087])).
% 25.31/16.69 tff(15089,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB133) | v124(constB133, bitIndex2) | (~v121(constB133, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2))),
% 25.31/16.69 inference(transitivity,[status(thm)],[15088, 15086])).
% 25.31/16.69 tff(15090,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB133) | v124(constB133, bitIndex2) | (~v121(constB133, bitIndex2)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15091,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB133, bitIndex2)) | v26(constB133) | v124(constB133, bitIndex2)),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15090, 15089])).
% 25.31/16.69 tff(15092,plain,
% 25.31/16.69 ((~v121(constB133, bitIndex2)) | v124(constB133, bitIndex2)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15091, 390, 15005])).
% 25.31/16.69 tff(15093,plain,
% 25.31/16.69 (~v121(constB133, bitIndex2)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15092, 15085])).
% 25.31/16.69 tff(15094,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15095,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15096,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15095, 15094])).
% 25.31/16.69 tff(15097,plain,
% 25.31/16.69 (v121(constB133, bitIndex2) | (~v123(constB134, bitIndex2))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15096, 408, 15020])).
% 25.31/16.69 tff(15098,plain,
% 25.31/16.69 (~v123(constB134, bitIndex2)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15097, 15093])).
% 25.31/16.69 tff(15099,plain,
% 25.31/16.69 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15100,plain,
% 25.31/16.69 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15101,plain,
% 25.31/16.69 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2) | (~v94(constB134))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15100, 15099])).
% 25.31/16.69 tff(15102,plain,
% 25.31/16.69 ((~v84(constB134, bitIndex2)) | (~v94(constB134))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15101, 423, 15098])).
% 25.31/16.69 tff(15103,plain,
% 25.31/16.69 (~v84(constB134, bitIndex2)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15102, 15054])).
% 25.31/16.69 tff(15104,plain,
% 25.31/16.69 ((~v1(constB135)) <=> (~v1(constB135))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15105,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 25.31/16.69 tff(15106,plain,
% 25.31/16.69 (~v1(constB135)),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 25.31/16.69 tff(15107,plain,
% 25.31/16.69 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15108,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 25.31/16.69 tff(15109,plain,
% 25.31/16.69 (nextState(constB134, constB135)),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15108, 15107])).
% 25.31/16.69 tff(15110,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15111,plain,
% 25.31/16.69 (((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15112,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))))),
% 25.31/16.69 inference(monotonicity,[status(thm)],[15111])).
% 25.31/16.69 tff(15113,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 25.31/16.69 inference(transitivity,[status(thm)],[15112, 15110])).
% 25.31/16.69 tff(15114,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15115,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15114, 15113])).
% 25.31/16.69 tff(15116,plain,
% 25.31/16.69 (~v95(constB135)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15115, 73, 15109, 15106])).
% 25.31/16.69 tff(15117,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15118,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15119,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15118, 15117])).
% 25.31/16.69 tff(15120,plain,
% 25.31/16.69 (v95(constB135) | (~v94(constB135))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15119, 90, 15109])).
% 25.31/16.69 tff(15121,plain,
% 25.31/16.69 (~v94(constB135)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15120, 15116])).
% 25.31/16.69 tff(15122,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15123,plain,
% 25.31/16.69 (((~nextState(constB134, constB135)) | v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2))) <=> (v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15124,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2))))),
% 25.31/16.69 inference(monotonicity,[status(thm)],[15123])).
% 25.31/16.69 tff(15125,plain,
% 25.31/16.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2)))),
% 25.31/16.69 inference(transitivity,[status(thm)],[15124, 15122])).
% 25.31/16.69 tff(15126,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15127,plain,
% 25.31/16.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB134, bitIndex2) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex2))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15126, 15125])).
% 25.31/16.69 tff(15128,plain,
% 25.31/16.69 (v84(constB134, bitIndex2) | v94(constB135) | (~v84(constB135, bitIndex2))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15127, 105, 15109])).
% 25.31/16.69 tff(15129,plain,
% 25.31/16.69 (v84(constB134, bitIndex2) | (~v84(constB135, bitIndex2))),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15128, 15121])).
% 25.31/16.69 tff(15130,plain,
% 25.31/16.69 (~v84(constB135, bitIndex2)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15129, 15103])).
% 25.31/16.69 tff(15131,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex1)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15132,plain,
% 25.31/16.69 ((v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex1))) <=> (v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex1)))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15133,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex1))))),
% 25.31/16.69 inference(monotonicity,[status(thm)],[15132])).
% 25.31/16.69 tff(15134,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex1)))),
% 25.31/16.69 inference(transitivity,[status(thm)],[15133, 15131])).
% 25.31/16.69 tff(15135,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | (~v124(constB133, bitIndex1)))),
% 25.31/16.69 inference(quant_inst,[status(thm)],[])).
% 25.31/16.69 tff(15136,plain,
% 25.31/16.69 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | (~v124(constB133, bitIndex1))),
% 25.31/16.69 inference(modus_ponens,[status(thm)],[15135, 15134])).
% 25.31/16.69 tff(15137,plain,
% 25.31/16.69 (~v124(constB133, bitIndex1)),
% 25.31/16.69 inference(unit_resolution,[status(thm)],[15136, 2105, 15078, 15074, 15070, 15066, 15062, 15058])).
% 25.31/16.69 tff(15138,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15139,plain,
% 25.31/16.69 ((v26(constB133) | v124(constB133, bitIndex1) | (~v121(constB133, bitIndex1))) <=> ((~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1))),
% 25.31/16.69 inference(rewrite,[status(thm)],[])).
% 25.31/16.69 tff(15140,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB133) | v124(constB133, bitIndex1) | (~v121(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1)))),
% 25.31/16.69 inference(monotonicity,[status(thm)],[15139])).
% 25.31/16.69 tff(15141,plain,
% 25.31/16.69 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB133) | v124(constB133, bitIndex1) | (~v121(constB133, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1))),
% 25.31/16.69 inference(transitivity,[status(thm)],[15140, 15138])).
% 25.31/16.69 tff(15142,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB133) | v124(constB133, bitIndex1) | (~v121(constB133, bitIndex1)))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15143,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB133, bitIndex1)) | v26(constB133) | v124(constB133, bitIndex1)),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15142, 15141])).
% 25.31/16.70 tff(15144,plain,
% 25.31/16.70 ((~v121(constB133, bitIndex1)) | v124(constB133, bitIndex1)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15143, 476, 15005])).
% 25.31/16.70 tff(15145,plain,
% 25.31/16.70 (~v121(constB133, bitIndex1)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15144, 15137])).
% 25.31/16.70 tff(15146,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15147,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB133, constB134)) | v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1)))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15148,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB133, constB134)) | v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 25.31/16.70 tff(15149,plain,
% 25.31/16.70 (v121(constB133, bitIndex1) | (~v123(constB134, bitIndex1))),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15148, 494, 15020])).
% 25.31/16.70 tff(15150,plain,
% 25.31/16.70 (~v123(constB134, bitIndex1)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15149, 15145])).
% 25.31/16.70 tff(15151,plain,
% 25.31/16.70 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15152,plain,
% 25.31/16.70 (((~v84(constB134, bitIndex1)) | (~v94(constB134)) | v123(constB134, bitIndex1)) <=> ((~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15153,plain,
% 25.31/16.70 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~v94(constB134)) | v123(constB134, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15152])).
% 25.31/16.70 tff(15154,plain,
% 25.31/16.70 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~v94(constB134)) | v123(constB134, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15153, 15151])).
% 25.31/16.70 tff(15155,plain,
% 25.31/16.70 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB134, bitIndex1)) | (~v94(constB134)) | v123(constB134, bitIndex1))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15156,plain,
% 25.31/16.70 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1) | (~v94(constB134))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 25.31/16.70 tff(15157,plain,
% 25.31/16.70 ((~v84(constB134, bitIndex1)) | (~v94(constB134))),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15156, 509, 15150])).
% 25.31/16.70 tff(15158,plain,
% 25.31/16.70 (~v84(constB134, bitIndex1)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15157, 15054])).
% 25.31/16.70 tff(15159,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15160,plain,
% 25.31/16.70 (((~nextState(constB134, constB135)) | v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1))) <=> (v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15161,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15160])).
% 25.31/16.70 tff(15162,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15161, 15159])).
% 25.31/16.70 tff(15163,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB134, constB135)) | v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1)))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15164,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB134, bitIndex1) | (~nextState(constB134, constB135)) | v94(constB135) | (~v84(constB135, bitIndex1))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15163, 15162])).
% 25.31/16.70 tff(15165,plain,
% 25.31/16.70 (v84(constB134, bitIndex1) | v94(constB135) | (~v84(constB135, bitIndex1))),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15164, 126, 15109])).
% 25.31/16.70 tff(15166,plain,
% 25.31/16.70 (v84(constB134, bitIndex1) | (~v84(constB135, bitIndex1))),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15165, 15121])).
% 25.31/16.70 tff(15167,plain,
% 25.31/16.70 (~v84(constB135, bitIndex1)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15166, 15158])).
% 25.31/16.70 tff(15168,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | v124(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | v124(constB133, bitIndex0))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15169,plain,
% 25.31/16.70 ((v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | v124(constB133, bitIndex0)) <=> (v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | v124(constB133, bitIndex0))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15170,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | v124(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | v124(constB133, bitIndex0)))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15169])).
% 25.31/16.70 tff(15171,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | v124(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | v124(constB133, bitIndex0))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15170, 15168])).
% 25.31/16.70 tff(15172,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB133) | v145(constB133) | v115(constB133) | v116(constB133) | v172(constB133) | v118(constB133) | v124(constB133, bitIndex0))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15173,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB133) | v115(constB133) | v145(constB133) | v118(constB133) | v116(constB133) | v113(constB133) | v124(constB133, bitIndex0)),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15172, 15171])).
% 25.31/16.70 tff(15174,plain,
% 25.31/16.70 (v124(constB133, bitIndex0)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15173, 2152, 15078, 15074, 15070, 15066, 15062, 15058])).
% 25.31/16.70 tff(15175,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB133) | (~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB133) | (~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15176,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB133) | (~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15177,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB133) | (~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0)),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15176, 15175])).
% 25.31/16.70 tff(15178,plain,
% 25.31/16.70 ((~v124(constB133, bitIndex0)) | v121(constB133, bitIndex0)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15177, 547, 15005])).
% 25.31/16.70 tff(15179,plain,
% 25.31/16.70 (v121(constB133, bitIndex0)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15178, 15174])).
% 25.31/16.70 tff(15180,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15181,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB133, constB134)) | (~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15182,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB133, constB134)) | (~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0)),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15181, 15180])).
% 25.31/16.70 tff(15183,plain,
% 25.31/16.70 ((~v121(constB133, bitIndex0)) | v123(constB134, bitIndex0)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15182, 562, 15020])).
% 25.31/16.70 tff(15184,plain,
% 25.31/16.70 (v123(constB134, bitIndex0)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15183, 15179])).
% 25.31/16.70 tff(15185,plain,
% 25.31/16.70 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15186,plain,
% 25.31/16.70 ((v84(constB134, bitIndex0) | (~v94(constB134)) | (~v123(constB134, bitIndex0))) <=> (v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15187,plain,
% 25.31/16.70 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v94(constB134)) | (~v123(constB134, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15186])).
% 25.31/16.70 tff(15188,plain,
% 25.31/16.70 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v94(constB134)) | (~v123(constB134, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15187, 15185])).
% 25.31/16.70 tff(15189,plain,
% 25.31/16.70 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB134, bitIndex0) | (~v94(constB134)) | (~v123(constB134, bitIndex0)))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15190,plain,
% 25.31/16.70 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0)) | (~v94(constB134))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15189, 15188])).
% 25.31/16.70 tff(15191,plain,
% 25.31/16.70 (v84(constB134, bitIndex0) | (~v94(constB134))),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15190, 577, 15184])).
% 25.31/16.70 tff(15192,plain,
% 25.31/16.70 (v84(constB134, bitIndex0)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15191, 15054])).
% 25.31/16.70 tff(15193,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15194,plain,
% 25.31/16.70 (((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0)) <=> ((~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15195,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0)))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15194])).
% 25.31/16.70 tff(15196,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15195, 15193])).
% 25.31/16.70 tff(15197,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB134, constB135)) | (~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15198,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB134, bitIndex0)) | (~nextState(constB134, constB135)) | v94(constB135) | v84(constB135, bitIndex0)),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15197, 15196])).
% 25.31/16.70 tff(15199,plain,
% 25.31/16.70 ((~v84(constB134, bitIndex0)) | v94(constB135) | v84(constB135, bitIndex0)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15198, 595, 15109])).
% 25.31/16.70 tff(15200,plain,
% 25.31/16.70 ((~v84(constB134, bitIndex0)) | v84(constB135, bitIndex0)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15199, 15121])).
% 25.31/16.70 tff(15201,plain,
% 25.31/16.70 (v84(constB135, bitIndex0)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15200, 15192])).
% 25.31/16.70 tff(15202,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15203,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15204,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135)),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15203, 15202])).
% 25.31/16.70 tff(15205,plain,
% 25.31/16.70 (v145(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15204, 614, 15201, 15167, 15130])).
% 25.31/16.70 tff(15206,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB135) | (~v145(constB135)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB135) | (~v145(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15207,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB135) | (~v145(constB135)))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15208,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB135) | (~v145(constB135))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15207, 15206])).
% 25.31/16.70 tff(15209,plain,
% 25.31/16.70 (v112(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15208, 677, 15205])).
% 25.31/16.70 tff(15210,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB135) | (~v112(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15211,plain,
% 25.31/16.70 (((~v112(constB135)) | v111(constB135)) <=> (v111(constB135) | (~v112(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15212,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB135)) | v111(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB135) | (~v112(constB135))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15211])).
% 25.31/16.70 tff(15213,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB135)) | v111(constB135))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB135) | (~v112(constB135)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15212, 15210])).
% 25.31/16.70 tff(15214,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB135)) | v111(constB135))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15215,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB135) | (~v112(constB135))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15214, 15213])).
% 25.31/16.70 tff(15216,plain,
% 25.31/16.70 (v111(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15215, 193, 15209])).
% 25.31/16.70 tff(15217,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB135) | (~v111(constB135)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB135) | (~v111(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15218,plain,
% 25.31/16.70 (((~v111(constB135)) | v110(constB135)) <=> (v110(constB135) | (~v111(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15219,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB135)) | v110(constB135))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB135) | (~v111(constB135))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15218])).
% 25.31/16.70 tff(15220,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB135)) | v110(constB135))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB135) | (~v111(constB135)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15219, 15217])).
% 25.31/16.70 tff(15221,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB135)) | v110(constB135))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15222,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB135) | (~v111(constB135))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15221, 15220])).
% 25.31/16.70 tff(15223,plain,
% 25.31/16.70 (v110(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15222, 207, 15216])).
% 25.31/16.70 tff(15224,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB135) | (~v110(constB135)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB135) | (~v110(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15225,plain,
% 25.31/16.70 (((~v110(constB135)) | v109(constB135)) <=> (v109(constB135) | (~v110(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15226,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB135)) | v109(constB135))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB135) | (~v110(constB135))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15225])).
% 25.31/16.70 tff(15227,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB135)) | v109(constB135))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB135) | (~v110(constB135)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15226, 15224])).
% 25.31/16.70 tff(15228,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB135)) | v109(constB135))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15229,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB135) | (~v110(constB135))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 25.31/16.70 tff(15230,plain,
% 25.31/16.70 (v109(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15229, 221, 15223])).
% 25.31/16.70 tff(15231,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v109(constB135)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v109(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15232,plain,
% 25.31/16.70 (((~v109(constB135)) | v108(constB135)) <=> (v108(constB135) | (~v109(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15233,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB135) | (~v109(constB135))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15232])).
% 25.31/16.70 tff(15234,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB135)) | v108(constB135))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v109(constB135)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15233, 15231])).
% 25.31/16.70 tff(15235,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB135)) | v108(constB135))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15236,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB135) | (~v109(constB135))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15235, 15234])).
% 25.31/16.70 tff(15237,plain,
% 25.31/16.70 (v108(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15236, 235, 15230])).
% 25.31/16.70 tff(15238,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB135) | (~v108(constB135)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB135) | (~v108(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15239,plain,
% 25.31/16.70 (((~v108(constB135)) | v107(constB135)) <=> (v107(constB135) | (~v108(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15240,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB135)) | v107(constB135))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB135) | (~v108(constB135))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15239])).
% 25.31/16.70 tff(15241,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB135)) | v107(constB135))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB135) | (~v108(constB135)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15240, 15238])).
% 25.31/16.70 tff(15242,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB135)) | v107(constB135))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15243,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB135) | (~v108(constB135))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15242, 15241])).
% 25.31/16.70 tff(15244,plain,
% 25.31/16.70 (v107(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15243, 249, 15237])).
% 25.31/16.70 tff(15245,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | v106(constB135) | (~v107(constB135)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | v106(constB135) | (~v107(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15246,plain,
% 25.31/16.70 ((v26(constB135) | (~v107(constB135)) | v106(constB135)) <=> (v26(constB135) | v106(constB135) | (~v107(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15247,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | v106(constB135) | (~v107(constB135))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15246])).
% 25.31/16.70 tff(15248,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | v106(constB135) | (~v107(constB135)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15247, 15245])).
% 25.31/16.70 tff(15249,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15250,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | v106(constB135) | (~v107(constB135))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15249, 15248])).
% 25.31/16.70 tff(15251,plain,
% 25.31/16.70 (v26(constB135) | v106(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15250, 263, 15244])).
% 25.31/16.70 tff(15252,plain,
% 25.31/16.70 (v106(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15251, 8340])).
% 25.31/16.70 tff(15253,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB135) | (~v106(constB135)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB135) | (~v106(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15254,plain,
% 25.31/16.70 (((~v106(constB135)) | v102(constB135)) <=> (v102(constB135) | (~v106(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15255,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB135)) | v102(constB135))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB135) | (~v106(constB135))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15254])).
% 25.31/16.70 tff(15256,plain,
% 25.31/16.70 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB135)) | v102(constB135))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB135) | (~v106(constB135)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15255, 15253])).
% 25.31/16.70 tff(15257,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB135)) | v102(constB135))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15258,plain,
% 25.31/16.70 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB135) | (~v106(constB135))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15257, 15256])).
% 25.31/16.70 tff(15259,plain,
% 25.31/16.70 (v102(constB135)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15258, 275, 15252])).
% 25.31/16.70 tff(15260,plain,
% 25.31/16.70 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15261,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 25.31/16.70 tff(15262,plain,
% 25.31/16.70 (nextState(constB135, constB136)),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15261, 15260])).
% 25.31/16.70 tff(15263,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15264,plain,
% 25.31/16.70 (((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136)) <=> ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15265,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15264])).
% 25.31/16.70 tff(15266,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15265, 15263])).
% 25.31/16.70 tff(15267,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15268,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15267, 15266])).
% 25.31/16.70 tff(15269,plain,
% 25.31/16.70 (v104(constB136) | (~v102(constB135))),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15268, 295, 15262])).
% 25.31/16.70 tff(15270,plain,
% 25.31/16.70 (v104(constB136)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15269, 15259])).
% 25.31/16.70 tff(15271,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15272,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15273,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15272, 15271])).
% 25.31/16.70 tff(15274,plain,
% 25.31/16.70 (~v98(constB136)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15273, 313, 15262, 15106])).
% 25.31/16.70 tff(15275,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15276,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15277,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136)),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 25.31/16.70 tff(15278,plain,
% 25.31/16.70 (v96(constB136) | v98(constB136)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15277, 327, 15262])).
% 25.31/16.70 tff(15279,plain,
% 25.31/16.70 (v96(constB136)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15278, 15274])).
% 25.31/16.70 tff(15280,plain,
% 25.31/16.70 (v1(constB136) <=> v1(constB136)),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15281,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 25.31/16.70 tff(15282,plain,
% 25.31/16.70 (v1(constB136)),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15281, 15280])).
% 25.31/16.70 tff(15283,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15284,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.70 tff(15285,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136))),
% 25.31/16.70 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 25.31/16.70 tff(15286,plain,
% 25.31/16.70 (v95(constB136) | (~v96(constB136))),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15285, 345, 15262, 15282])).
% 25.31/16.70 tff(15287,plain,
% 25.31/16.70 (v95(constB136)),
% 25.31/16.70 inference(unit_resolution,[status(thm)],[15286, 15279])).
% 25.31/16.70 tff(15288,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15289,plain,
% 25.31/16.70 (((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136)) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 25.31/16.70 inference(rewrite,[status(thm)],[])).
% 25.31/16.70 tff(15290,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136))))),
% 25.31/16.70 inference(monotonicity,[status(thm)],[15289])).
% 25.31/16.70 tff(15291,plain,
% 25.31/16.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136)))),
% 25.31/16.70 inference(transitivity,[status(thm)],[15290, 15288])).
% 25.31/16.70 tff(15292,plain,
% 25.31/16.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))),
% 25.31/16.70 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15293,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | v94(constB136) | (~v95(constB136)) | (~v104(constB136))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 25.31/16.71 tff(15294,plain,
% 25.31/16.71 (v94(constB136) | (~v95(constB136)) | (~v104(constB136))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15293, 360, 15262])).
% 25.31/16.71 tff(15295,plain,
% 25.31/16.71 (v94(constB136) | (~v104(constB136))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15294, 15287])).
% 25.31/16.71 tff(15296,plain,
% 25.31/16.71 (v94(constB136)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15295, 15270])).
% 25.31/16.71 tff(15297,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB135)) | (~v124(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB135)) | (~v124(constB135, bitIndex2)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15298,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB135)) | (~v124(constB135, bitIndex2)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15299,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB135)) | (~v124(constB135, bitIndex2))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15298, 15297])).
% 25.31/16.71 tff(15300,plain,
% 25.31/16.71 (~v124(constB135, bitIndex2)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15299, 625, 15205])).
% 25.31/16.71 tff(15301,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15302,plain,
% 25.31/16.71 ((v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2))) <=> ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15303,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2)))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15302])).
% 25.31/16.71 tff(15304,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15303, 15301])).
% 25.31/16.71 tff(15305,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB135) | v124(constB135, bitIndex2) | (~v121(constB135, bitIndex2)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15306,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB135, bitIndex2)) | v26(constB135) | v124(constB135, bitIndex2)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15305, 15304])).
% 25.31/16.71 tff(15307,plain,
% 25.31/16.71 ((~v121(constB135, bitIndex2)) | v26(constB135)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15306, 390, 15300])).
% 25.31/16.71 tff(15308,plain,
% 25.31/16.71 (~v121(constB135, bitIndex2)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15307, 8340])).
% 25.31/16.71 tff(15309,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15310,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15311,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15310, 15309])).
% 25.31/16.71 tff(15312,plain,
% 25.31/16.71 (v121(constB135, bitIndex2) | (~v123(constB136, bitIndex2))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15311, 408, 15262])).
% 25.31/16.71 tff(15313,plain,
% 25.31/16.71 (~v123(constB136, bitIndex2)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15312, 15308])).
% 25.31/16.71 tff(15314,plain,
% 25.31/16.71 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15315,plain,
% 25.31/16.71 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15316,plain,
% 25.31/16.71 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2) | (~v94(constB136))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15315, 15314])).
% 25.31/16.71 tff(15317,plain,
% 25.31/16.71 ((~v84(constB136, bitIndex2)) | (~v94(constB136))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15316, 423, 15313])).
% 25.31/16.71 tff(15318,plain,
% 25.31/16.71 (~v84(constB136, bitIndex2)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15317, 15296])).
% 25.31/16.71 tff(15319,plain,
% 25.31/16.71 ((~v1(constB137)) <=> (~v1(constB137))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15320,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 25.31/16.71 tff(15321,plain,
% 25.31/16.71 (~v1(constB137)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15320, 15319])).
% 25.31/16.71 tff(15322,plain,
% 25.31/16.71 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15323,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 25.31/16.71 tff(15324,plain,
% 25.31/16.71 (nextState(constB136, constB137)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15323, 15322])).
% 25.31/16.71 tff(15325,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15326,plain,
% 25.31/16.71 (((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15327,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15326])).
% 25.31/16.71 tff(15328,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15327, 15325])).
% 25.31/16.71 tff(15329,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15330,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15329, 15328])).
% 25.31/16.71 tff(15331,plain,
% 25.31/16.71 (~v95(constB137)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15330, 73, 15324, 15321])).
% 25.31/16.71 tff(15332,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15333,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15334,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15333, 15332])).
% 25.31/16.71 tff(15335,plain,
% 25.31/16.71 (v95(constB137) | (~v94(constB137))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15334, 90, 15324])).
% 25.31/16.71 tff(15336,plain,
% 25.31/16.71 (~v94(constB137)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15335, 15331])).
% 25.31/16.71 tff(15337,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15338,plain,
% 25.31/16.71 (((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2))) <=> (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15339,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2))))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15338])).
% 25.31/16.71 tff(15340,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15339, 15337])).
% 25.31/16.71 tff(15341,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15342,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB136, bitIndex2) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex2))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15341, 15340])).
% 25.31/16.71 tff(15343,plain,
% 25.31/16.71 (v84(constB136, bitIndex2) | v94(constB137) | (~v84(constB137, bitIndex2))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15342, 105, 15324])).
% 25.31/16.71 tff(15344,plain,
% 25.31/16.71 (v84(constB136, bitIndex2) | (~v84(constB137, bitIndex2))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15343, 15336])).
% 25.31/16.71 tff(15345,plain,
% 25.31/16.71 (~v84(constB137, bitIndex2)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15344, 15318])).
% 25.31/16.71 tff(15346,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB135)) | v124(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB135)) | v124(constB135, bitIndex1))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15347,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB135)) | v124(constB135, bitIndex1))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15348,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB135)) | v124(constB135, bitIndex1)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 25.31/16.71 tff(15349,plain,
% 25.31/16.71 (v124(constB135, bitIndex1)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15348, 798, 15205])).
% 25.31/16.71 tff(15350,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB135) | (~v124(constB135, bitIndex1)) | v121(constB135, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB135) | (~v124(constB135, bitIndex1)) | v121(constB135, bitIndex1))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15351,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB135) | (~v124(constB135, bitIndex1)) | v121(constB135, bitIndex1))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15352,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB135) | (~v124(constB135, bitIndex1)) | v121(constB135, bitIndex1)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15351, 15350])).
% 25.31/16.71 tff(15353,plain,
% 25.31/16.71 (v26(constB135) | v121(constB135, bitIndex1)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15352, 812, 15349])).
% 25.31/16.71 tff(15354,plain,
% 25.31/16.71 (v121(constB135, bitIndex1)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15353, 8340])).
% 25.31/16.71 tff(15355,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15356,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB135, constB136)) | (~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15357,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB135, constB136)) | (~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15356, 15355])).
% 25.31/16.71 tff(15358,plain,
% 25.31/16.71 ((~v121(constB135, bitIndex1)) | v123(constB136, bitIndex1)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15357, 827, 15262])).
% 25.31/16.71 tff(15359,plain,
% 25.31/16.71 (v123(constB136, bitIndex1)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15358, 15354])).
% 25.31/16.71 tff(15360,plain,
% 25.31/16.71 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15361,plain,
% 25.31/16.71 ((v84(constB136, bitIndex1) | (~v94(constB136)) | (~v123(constB136, bitIndex1))) <=> (v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15362,plain,
% 25.31/16.71 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v94(constB136)) | (~v123(constB136, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136))))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15361])).
% 25.31/16.71 tff(15363,plain,
% 25.31/16.71 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v94(constB136)) | (~v123(constB136, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136)))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15362, 15360])).
% 25.31/16.71 tff(15364,plain,
% 25.31/16.71 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB136, bitIndex1) | (~v94(constB136)) | (~v123(constB136, bitIndex1)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15365,plain,
% 25.31/16.71 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)) | (~v94(constB136))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 25.31/16.71 tff(15366,plain,
% 25.31/16.71 (v84(constB136, bitIndex1) | (~v94(constB136))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15365, 842, 15359])).
% 25.31/16.71 tff(15367,plain,
% 25.31/16.71 (v84(constB136, bitIndex1)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15366, 15296])).
% 25.31/16.71 tff(15368,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15369,plain,
% 25.31/16.71 (((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1)) <=> ((~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15370,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1)))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15369])).
% 25.31/16.71 tff(15371,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15370, 15368])).
% 25.31/16.71 tff(15372,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB136, constB137)) | (~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15373,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB136, bitIndex1)) | (~nextState(constB136, constB137)) | v94(constB137) | v84(constB137, bitIndex1)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 25.31/16.71 tff(15374,plain,
% 25.31/16.71 ((~v84(constB136, bitIndex1)) | v94(constB137) | v84(constB137, bitIndex1)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15373, 860, 15324])).
% 25.31/16.71 tff(15375,plain,
% 25.31/16.71 ((~v84(constB136, bitIndex1)) | v84(constB137, bitIndex1)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15374, 15336])).
% 25.31/16.71 tff(15376,plain,
% 25.31/16.71 (v84(constB137, bitIndex1)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15375, 15367])).
% 25.31/16.71 tff(15377,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB135)) | (~v124(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB135)) | (~v124(constB135, bitIndex0)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15378,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB135)) | (~v124(constB135, bitIndex0)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15379,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB135)) | (~v124(constB135, bitIndex0))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15378, 15377])).
% 25.31/16.71 tff(15380,plain,
% 25.31/16.71 (~v124(constB135, bitIndex0)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15379, 876, 15205])).
% 25.31/16.71 tff(15381,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15382,plain,
% 25.31/16.71 ((v26(constB135) | v124(constB135, bitIndex0) | (~v121(constB135, bitIndex0))) <=> ((~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15383,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB135) | v124(constB135, bitIndex0) | (~v121(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0)))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15382])).
% 25.31/16.71 tff(15384,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB135) | v124(constB135, bitIndex0) | (~v121(constB135, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15383, 15381])).
% 25.31/16.71 tff(15385,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB135) | v124(constB135, bitIndex0) | (~v121(constB135, bitIndex0)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15386,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB135, bitIndex0)) | v26(constB135) | v124(constB135, bitIndex0)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15385, 15384])).
% 25.31/16.71 tff(15387,plain,
% 25.31/16.71 ((~v121(constB135, bitIndex0)) | v26(constB135)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15386, 890, 15380])).
% 25.31/16.71 tff(15388,plain,
% 25.31/16.71 (~v121(constB135, bitIndex0)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15387, 8340])).
% 25.31/16.71 tff(15389,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15390,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB135, constB136)) | v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15391,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB135, constB136)) | v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15390, 15389])).
% 25.31/16.71 tff(15392,plain,
% 25.31/16.71 (v121(constB135, bitIndex0) | (~v123(constB136, bitIndex0))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15391, 908, 15262])).
% 25.31/16.71 tff(15393,plain,
% 25.31/16.71 (~v123(constB136, bitIndex0)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15392, 15388])).
% 25.31/16.71 tff(15394,plain,
% 25.31/16.71 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15395,plain,
% 25.31/16.71 (((~v84(constB136, bitIndex0)) | (~v94(constB136)) | v123(constB136, bitIndex0)) <=> ((~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15396,plain,
% 25.31/16.71 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~v94(constB136)) | v123(constB136, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136))))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15395])).
% 25.31/16.71 tff(15397,plain,
% 25.31/16.71 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~v94(constB136)) | v123(constB136, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136)))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15396, 15394])).
% 25.31/16.71 tff(15398,plain,
% 25.31/16.71 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB136, bitIndex0)) | (~v94(constB136)) | v123(constB136, bitIndex0))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15399,plain,
% 25.31/16.71 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0) | (~v94(constB136))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15398, 15397])).
% 25.31/16.71 tff(15400,plain,
% 25.31/16.71 ((~v84(constB136, bitIndex0)) | (~v94(constB136))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15399, 923, 15393])).
% 25.31/16.71 tff(15401,plain,
% 25.31/16.71 (~v84(constB136, bitIndex0)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15400, 15296])).
% 25.31/16.71 tff(15402,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15403,plain,
% 25.31/16.71 (((~nextState(constB136, constB137)) | v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0))) <=> (v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15404,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0))))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15403])).
% 25.31/16.71 tff(15405,plain,
% 25.31/16.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0)))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15404, 15402])).
% 25.31/16.71 tff(15406,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB136, constB137)) | v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0)))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15407,plain,
% 25.31/16.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB136, bitIndex0) | (~nextState(constB136, constB137)) | v94(constB137) | (~v84(constB137, bitIndex0))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15406, 15405])).
% 25.31/16.71 tff(15408,plain,
% 25.31/16.71 (v84(constB136, bitIndex0) | v94(constB137) | (~v84(constB137, bitIndex0))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15407, 147, 15324])).
% 25.31/16.71 tff(15409,plain,
% 25.31/16.71 (v84(constB136, bitIndex0) | (~v84(constB137, bitIndex0))),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15408, 15336])).
% 25.31/16.71 tff(15410,plain,
% 25.31/16.71 (~v84(constB137, bitIndex0)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15409, 15401])).
% 25.31/16.71 tff(15411,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15412,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15413,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15412, 15411])).
% 25.31/16.71 tff(15414,plain,
% 25.31/16.71 (v115(constB137)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15413, 950, 15410, 15376, 15345])).
% 25.31/16.71 tff(15415,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB137) | (~v115(constB137)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15416,plain,
% 25.31/16.71 (((~v115(constB137)) | v111(constB137)) <=> (v111(constB137) | (~v115(constB137)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15417,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB137)) | v111(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB137) | (~v115(constB137))))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15416])).
% 25.31/16.71 tff(15418,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB137)) | v111(constB137))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB137) | (~v115(constB137)))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15417, 15415])).
% 25.31/16.71 tff(15419,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB137)) | v111(constB137))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15420,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB137) | (~v115(constB137))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15419, 15418])).
% 25.31/16.71 tff(15421,plain,
% 25.31/16.71 (v111(constB137)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15420, 961, 15414])).
% 25.31/16.71 tff(15422,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB137)) | v110(constB137))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB137)) | v110(constB137))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15423,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB137)) | v110(constB137))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15424,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB137)) | v110(constB137)),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15423, 15422])).
% 25.31/16.71 tff(15425,plain,
% 25.31/16.71 (v110(constB137)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15424, 207, 15421])).
% 25.31/16.71 tff(15426,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB137) | (~v110(constB137)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB137) | (~v110(constB137)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15427,plain,
% 25.31/16.71 (((~v110(constB137)) | v109(constB137)) <=> (v109(constB137) | (~v110(constB137)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15428,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB137)) | v109(constB137))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB137) | (~v110(constB137))))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15427])).
% 25.31/16.71 tff(15429,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB137)) | v109(constB137))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB137) | (~v110(constB137)))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15428, 15426])).
% 25.31/16.71 tff(15430,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB137)) | v109(constB137))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15431,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB137) | (~v110(constB137))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15430, 15429])).
% 25.31/16.71 tff(15432,plain,
% 25.31/16.71 (v109(constB137)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15431, 221, 15425])).
% 25.31/16.71 tff(15433,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v109(constB137)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v109(constB137)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15434,plain,
% 25.31/16.71 (((~v109(constB137)) | v108(constB137)) <=> (v108(constB137) | (~v109(constB137)))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.71 tff(15435,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB137) | (~v109(constB137))))),
% 25.31/16.71 inference(monotonicity,[status(thm)],[15434])).
% 25.31/16.71 tff(15436,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB137)) | v108(constB137))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v109(constB137)))),
% 25.31/16.71 inference(transitivity,[status(thm)],[15435, 15433])).
% 25.31/16.71 tff(15437,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB137)) | v108(constB137))),
% 25.31/16.71 inference(quant_inst,[status(thm)],[])).
% 25.31/16.71 tff(15438,plain,
% 25.31/16.71 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB137) | (~v109(constB137))),
% 25.31/16.71 inference(modus_ponens,[status(thm)],[15437, 15436])).
% 25.31/16.71 tff(15439,plain,
% 25.31/16.71 (v108(constB137)),
% 25.31/16.71 inference(unit_resolution,[status(thm)],[15438, 235, 15432])).
% 25.31/16.71 tff(15440,plain,
% 25.31/16.71 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB137)) | v107(constB137))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB137)) | v107(constB137))),
% 25.31/16.71 inference(rewrite,[status(thm)],[])).
% 25.31/16.72 tff(15441,plain,
% 25.31/16.72 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB137)) | v107(constB137))),
% 25.31/16.72 inference(quant_inst,[status(thm)],[])).
% 25.31/16.72 tff(15442,plain,
% 25.31/16.72 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB137)) | v107(constB137)),
% 25.31/16.72 inference(modus_ponens,[status(thm)],[15441, 15440])).
% 25.31/16.72 tff(15443,plain,
% 25.31/16.72 (v107(constB137)),
% 25.31/16.72 inference(unit_resolution,[status(thm)],[15442, 249, 15439])).
% 25.31/16.72 tff(15444,plain,
% 25.31/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | v106(constB137) | (~v107(constB137)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 25.31/16.72 inference(rewrite,[status(thm)],[])).
% 25.31/16.72 tff(15445,plain,
% 25.31/16.72 ((v26(constB137) | (~v107(constB137)) | v106(constB137)) <=> (v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 25.31/16.72 inference(rewrite,[status(thm)],[])).
% 25.31/16.72 tff(15446,plain,
% 25.31/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | v106(constB137) | (~v107(constB137))))),
% 25.31/16.72 inference(monotonicity,[status(thm)],[15445])).
% 25.31/16.72 tff(15447,plain,
% 25.31/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 25.31/16.72 inference(transitivity,[status(thm)],[15446, 15444])).
% 25.31/16.72 tff(15448,plain,
% 25.31/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))),
% 25.31/16.72 inference(quant_inst,[status(thm)],[])).
% 25.31/16.72 tff(15449,plain,
% 25.31/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137))),
% 25.31/16.72 inference(modus_ponens,[status(thm)],[15448, 15447])).
% 25.31/16.72 tff(15450,plain,
% 25.31/16.72 (v26(constB137) | v106(constB137)),
% 25.31/16.72 inference(unit_resolution,[status(thm)],[15449, 263, 15443])).
% 25.31/16.72 tff(15451,plain,
% 25.31/16.72 (v106(constB137)),
% 25.31/16.72 inference(unit_resolution,[status(thm)],[15450, 8336])).
% 25.31/16.72 tff(15452,plain,
% 25.31/16.72 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB137) | (~v106(constB137)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB137) | (~v106(constB137)))),
% 25.31/16.72 inference(rewrite,[status(thm)],[])).
% 25.31/16.72 tff(15453,plain,
% 25.31/16.72 (((~v106(constB137)) | v102(constB137)) <=> (v102(constB137) | (~v106(constB137)))),
% 25.31/16.72 inference(rewrite,[status(thm)],[])).
% 25.31/16.72 tff(15454,plain,
% 25.31/16.72 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB137)) | v102(constB137))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB137) | (~v106(constB137))))),
% 25.31/16.72 inference(monotonicity,[status(thm)],[15453])).
% 25.31/16.72 tff(15455,plain,
% 25.31/16.72 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB137)) | v102(constB137))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB137) | (~v106(constB137)))),
% 25.31/16.72 inference(transitivity,[status(thm)],[15454, 15452])).
% 25.31/16.72 tff(15456,plain,
% 25.31/16.72 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB137)) | v102(constB137))),
% 25.31/16.72 inference(quant_inst,[status(thm)],[])).
% 25.31/16.72 tff(15457,plain,
% 25.31/16.72 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB137) | (~v106(constB137))),
% 25.31/16.72 inference(modus_ponens,[status(thm)],[15456, 15455])).
% 25.31/16.72 tff(15458,plain,
% 25.31/16.72 (v102(constB137)),
% 25.31/16.72 inference(unit_resolution,[status(thm)],[15457, 275, 15451])).
% 25.31/16.72 tff(15459,plain,
% 25.31/16.72 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 25.31/16.72 inference(rewrite,[status(thm)],[])).
% 25.31/16.72 tff(15460,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 25.31/16.72 tff(15461,plain,
% 25.31/16.72 (nextState(constB137, constB138)),
% 25.31/16.72 inference(modus_ponens,[status(thm)],[15460, 15459])).
% 25.31/16.72 tff(15462,plain,
% 25.31/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 25.31/16.72 inference(rewrite,[status(thm)],[])).
% 25.31/16.72 tff(15463,plain,
% 25.31/16.72 (((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138)) <=> ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 25.31/16.72 inference(rewrite,[status(thm)],[])).
% 25.31/16.72 tff(15464,plain,
% 25.31/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))))),
% 25.41/16.72 inference(monotonicity,[status(thm)],[15463])).
% 25.41/16.72 tff(15465,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 25.41/16.72 inference(transitivity,[status(thm)],[15464, 15462])).
% 25.41/16.72 tff(15466,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15467,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15466, 15465])).
% 25.41/16.72 tff(15468,plain,
% 25.41/16.72 (v104(constB138) | (~v102(constB137))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15467, 295, 15461])).
% 25.41/16.72 tff(15469,plain,
% 25.41/16.72 (v104(constB138)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15468, 15458])).
% 25.41/16.72 tff(15470,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15471,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15472,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15471, 15470])).
% 25.41/16.72 tff(15473,plain,
% 25.41/16.72 (~v98(constB138)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15472, 313, 15461, 15321])).
% 25.41/16.72 tff(15474,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15475,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15476,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138)),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15475, 15474])).
% 25.41/16.72 tff(15477,plain,
% 25.41/16.72 (v96(constB138) | v98(constB138)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15476, 327, 15461])).
% 25.41/16.72 tff(15478,plain,
% 25.41/16.72 (v96(constB138)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15477, 15473])).
% 25.41/16.72 tff(15479,plain,
% 25.41/16.72 (v1(constB138) <=> v1(constB138)),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15480,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 25.41/16.72 tff(15481,plain,
% 25.41/16.72 (v1(constB138)),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15480, 15479])).
% 25.41/16.72 tff(15482,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15483,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15484,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15483, 15482])).
% 25.41/16.72 tff(15485,plain,
% 25.41/16.72 (v95(constB138) | (~v96(constB138))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15484, 345, 15461, 15481])).
% 25.41/16.72 tff(15486,plain,
% 25.41/16.72 (v95(constB138)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15485, 15478])).
% 25.41/16.72 tff(15487,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15488,plain,
% 25.41/16.72 (((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138)) <=> ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15489,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138))))),
% 25.41/16.72 inference(monotonicity,[status(thm)],[15488])).
% 25.41/16.72 tff(15490,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138)))),
% 25.41/16.72 inference(transitivity,[status(thm)],[15489, 15487])).
% 25.41/16.72 tff(15491,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15492,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | v94(constB138) | (~v95(constB138)) | (~v104(constB138))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15491, 15490])).
% 25.41/16.72 tff(15493,plain,
% 25.41/16.72 (v94(constB138) | (~v95(constB138)) | (~v104(constB138))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15492, 360, 15461])).
% 25.41/16.72 tff(15494,plain,
% 25.41/16.72 (v94(constB138) | (~v104(constB138))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15493, 15486])).
% 25.41/16.72 tff(15495,plain,
% 25.41/16.72 (v94(constB138)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15494, 15469])).
% 25.41/16.72 tff(15496,plain,
% 25.41/16.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB137)) | v124(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB137)) | v124(constB137, bitIndex1))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15497,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB137)) | v124(constB137, bitIndex1))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15498,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB137)) | v124(constB137, bitIndex1)),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15497, 15496])).
% 25.41/16.72 tff(15499,plain,
% 25.41/16.72 (v124(constB137, bitIndex1)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15498, 1102, 15414])).
% 25.41/16.72 tff(15500,plain,
% 25.41/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15501,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15502,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB137) | (~v124(constB137, bitIndex1)) | v121(constB137, bitIndex1)),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15501, 15500])).
% 25.41/16.72 tff(15503,plain,
% 25.41/16.72 (v26(constB137) | v121(constB137, bitIndex1)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15502, 812, 15499])).
% 25.41/16.72 tff(15504,plain,
% 25.41/16.72 (v121(constB137, bitIndex1)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15503, 8336])).
% 25.41/16.72 tff(15505,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15506,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15507,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1)),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15506, 15505])).
% 25.41/16.72 tff(15508,plain,
% 25.41/16.72 ((~v121(constB137, bitIndex1)) | v123(constB138, bitIndex1)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15507, 827, 15461])).
% 25.41/16.72 tff(15509,plain,
% 25.41/16.72 (v123(constB138, bitIndex1)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15508, 15504])).
% 25.41/16.72 tff(15510,plain,
% 25.41/16.72 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15511,plain,
% 25.41/16.72 ((v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1))) <=> (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15512,plain,
% 25.41/16.72 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138))))),
% 25.41/16.72 inference(monotonicity,[status(thm)],[15511])).
% 25.41/16.72 tff(15513,plain,
% 25.41/16.72 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138)))),
% 25.41/16.72 inference(transitivity,[status(thm)],[15512, 15510])).
% 25.41/16.72 tff(15514,plain,
% 25.41/16.72 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB138, bitIndex1) | (~v94(constB138)) | (~v123(constB138, bitIndex1)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15515,plain,
% 25.41/16.72 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1)) | (~v94(constB138))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15514, 15513])).
% 25.41/16.72 tff(15516,plain,
% 25.41/16.72 (v84(constB138, bitIndex1) | (~v94(constB138))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15515, 842, 15509])).
% 25.41/16.72 tff(15517,plain,
% 25.41/16.72 (v84(constB138, bitIndex1)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15516, 15495])).
% 25.41/16.72 tff(15518,plain,
% 25.41/16.72 ((~v1(constB139)) <=> (~v1(constB139))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15519,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 25.41/16.72 tff(15520,plain,
% 25.41/16.72 (~v1(constB139)),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15519, 15518])).
% 25.41/16.72 tff(15521,plain,
% 25.41/16.72 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15522,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 25.41/16.72 tff(15523,plain,
% 25.41/16.72 (nextState(constB138, constB139)),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15522, 15521])).
% 25.41/16.72 tff(15524,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15525,plain,
% 25.41/16.72 (((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15526,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))))),
% 25.41/16.72 inference(monotonicity,[status(thm)],[15525])).
% 25.41/16.72 tff(15527,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 25.41/16.72 inference(transitivity,[status(thm)],[15526, 15524])).
% 25.41/16.72 tff(15528,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15529,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15528, 15527])).
% 25.41/16.72 tff(15530,plain,
% 25.41/16.72 (~v95(constB139)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15529, 73, 15523, 15520])).
% 25.41/16.72 tff(15531,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15532,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15533,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15532, 15531])).
% 25.41/16.72 tff(15534,plain,
% 25.41/16.72 (v95(constB139) | (~v94(constB139))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15533, 90, 15523])).
% 25.41/16.72 tff(15535,plain,
% 25.41/16.72 (~v94(constB139)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15534, 15530])).
% 25.41/16.72 tff(15536,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15537,plain,
% 25.41/16.72 (((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1)) <=> ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15538,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1)))),
% 25.41/16.72 inference(monotonicity,[status(thm)],[15537])).
% 25.41/16.72 tff(15539,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1))),
% 25.41/16.72 inference(transitivity,[status(thm)],[15538, 15536])).
% 25.41/16.72 tff(15540,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15541,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB138, bitIndex1)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex1)),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15540, 15539])).
% 25.41/16.72 tff(15542,plain,
% 25.41/16.72 ((~v84(constB138, bitIndex1)) | v94(constB139) | v84(constB139, bitIndex1)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15541, 860, 15523])).
% 25.41/16.72 tff(15543,plain,
% 25.41/16.72 ((~v84(constB138, bitIndex1)) | v84(constB139, bitIndex1)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15542, 15535])).
% 25.41/16.72 tff(15544,plain,
% 25.41/16.72 (v84(constB139, bitIndex1)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15543, 15517])).
% 25.41/16.72 tff(15545,plain,
% 25.41/16.72 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB139)) | (~v84(constB139, bitIndex1)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15546,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex1)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15547,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB139)) | (~v84(constB139, bitIndex1))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15546, 15545])).
% 25.41/16.72 tff(15548,plain,
% 25.41/16.72 (~v145(constB139)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15547, 2018, 15544])).
% 25.41/16.72 tff(15549,assumption,(v121(constB137, bitIndex2)), introduced(assumption)).
% 25.41/16.72 tff(15550,plain,
% 25.41/16.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB137)) | (~v124(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB137)) | (~v124(constB137, bitIndex2)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15551,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB137)) | (~v124(constB137, bitIndex2)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15552,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB137)) | (~v124(constB137, bitIndex2))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15551, 15550])).
% 25.41/16.72 tff(15553,plain,
% 25.41/16.72 (~v124(constB137, bitIndex2)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15552, 1046, 15414])).
% 25.41/16.72 tff(15554,plain,
% 25.41/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15555,plain,
% 25.41/16.72 ((v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2))) <=> ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15556,plain,
% 25.41/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2)))),
% 25.41/16.72 inference(monotonicity,[status(thm)],[15555])).
% 25.41/16.72 tff(15557,plain,
% 25.41/16.72 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2))),
% 25.41/16.72 inference(transitivity,[status(thm)],[15556, 15554])).
% 25.41/16.72 tff(15558,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB137) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15559,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB137, bitIndex2)) | v26(constB137) | v124(constB137, bitIndex2)),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 25.41/16.72 tff(15560,plain,
% 25.41/16.72 ((~v121(constB137, bitIndex2)) | v26(constB137)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15559, 390, 15553])).
% 25.41/16.72 tff(15561,plain,
% 25.41/16.72 (v26(constB137)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15560, 15549])).
% 25.41/16.72 tff(15562,plain,
% 25.41/16.72 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB137)) | (~v121(constB137, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB137)) | (~v121(constB137, bitIndex2)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15563,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB137)) | (~v121(constB137, bitIndex2)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15564,plain,
% 25.41/16.72 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB137)) | (~v121(constB137, bitIndex2))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15563, 15562])).
% 25.41/16.72 tff(15565,plain,
% 25.41/16.72 ($false),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15564, 2292, 15549, 15561])).
% 25.41/16.72 tff(15566,plain,(~v121(constB137, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.72 tff(15567,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15568,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15569,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15568, 15567])).
% 25.41/16.72 tff(15570,plain,
% 25.41/16.72 (v121(constB137, bitIndex2) | (~v123(constB138, bitIndex2))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15569, 408, 15461])).
% 25.41/16.72 tff(15571,plain,
% 25.41/16.72 (~v123(constB138, bitIndex2)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15570, 15566])).
% 25.41/16.72 tff(15572,plain,
% 25.41/16.72 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15573,plain,
% 25.41/16.72 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15574,plain,
% 25.41/16.72 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2) | (~v94(constB138))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15573, 15572])).
% 25.41/16.72 tff(15575,plain,
% 25.41/16.72 ((~v84(constB138, bitIndex2)) | (~v94(constB138))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15574, 423, 15571])).
% 25.41/16.72 tff(15576,plain,
% 25.41/16.72 (~v84(constB138, bitIndex2)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15575, 15495])).
% 25.41/16.72 tff(15577,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15578,plain,
% 25.41/16.72 (((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2))) <=> (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 25.41/16.72 inference(rewrite,[status(thm)],[])).
% 25.41/16.72 tff(15579,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2))))),
% 25.41/16.72 inference(monotonicity,[status(thm)],[15578])).
% 25.41/16.72 tff(15580,plain,
% 25.41/16.72 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 25.41/16.72 inference(transitivity,[status(thm)],[15579, 15577])).
% 25.41/16.72 tff(15581,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2)))),
% 25.41/16.72 inference(quant_inst,[status(thm)],[])).
% 25.41/16.72 tff(15582,plain,
% 25.41/16.72 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB138, bitIndex2) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex2))),
% 25.41/16.72 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 25.41/16.72 tff(15583,plain,
% 25.41/16.72 (v84(constB138, bitIndex2) | v94(constB139) | (~v84(constB139, bitIndex2))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15582, 105, 15523])).
% 25.41/16.72 tff(15584,plain,
% 25.41/16.72 (v84(constB138, bitIndex2) | (~v84(constB139, bitIndex2))),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15583, 15535])).
% 25.41/16.72 tff(15585,plain,
% 25.41/16.72 (~v84(constB139, bitIndex2)),
% 25.41/16.72 inference(unit_resolution,[status(thm)],[15584, 15576])).
% 25.41/16.72 tff(15586,plain,
% 25.41/16.72 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB137)) | v124(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB137)) | v124(constB137, bitIndex0))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15587,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB137)) | v124(constB137, bitIndex0))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15588,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB137)) | v124(constB137, bitIndex0)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15587, 15586])).
% 25.41/16.73 tff(15589,plain,
% 25.41/16.73 (v124(constB137, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15588, 1140, 15414])).
% 25.41/16.73 tff(15590,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB137) | (~v124(constB137, bitIndex0)) | v121(constB137, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB137) | (~v124(constB137, bitIndex0)) | v121(constB137, bitIndex0))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15591,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB137) | (~v124(constB137, bitIndex0)) | v121(constB137, bitIndex0))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15592,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB137) | (~v124(constB137, bitIndex0)) | v121(constB137, bitIndex0)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15591, 15590])).
% 25.41/16.73 tff(15593,plain,
% 25.41/16.73 (v26(constB137) | v121(constB137, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15592, 547, 15589])).
% 25.41/16.73 tff(15594,plain,
% 25.41/16.73 (v121(constB137, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15593, 8336])).
% 25.41/16.73 tff(15595,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15596,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB137, constB138)) | (~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15597,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB137, constB138)) | (~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15596, 15595])).
% 25.41/16.73 tff(15598,plain,
% 25.41/16.73 ((~v121(constB137, bitIndex0)) | v123(constB138, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15597, 562, 15461])).
% 25.41/16.73 tff(15599,plain,
% 25.41/16.73 (v123(constB138, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15598, 15594])).
% 25.41/16.73 tff(15600,plain,
% 25.41/16.73 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15601,plain,
% 25.41/16.73 ((v84(constB138, bitIndex0) | (~v94(constB138)) | (~v123(constB138, bitIndex0))) <=> (v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15602,plain,
% 25.41/16.73 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v94(constB138)) | (~v123(constB138, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15601])).
% 25.41/16.73 tff(15603,plain,
% 25.41/16.73 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v94(constB138)) | (~v123(constB138, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15602, 15600])).
% 25.41/16.73 tff(15604,plain,
% 25.41/16.73 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~v94(constB138)) | (~v123(constB138, bitIndex0)))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15605,plain,
% 25.41/16.73 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0)) | (~v94(constB138))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15604, 15603])).
% 25.41/16.73 tff(15606,plain,
% 25.41/16.73 (v84(constB138, bitIndex0) | (~v94(constB138))),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15605, 577, 15599])).
% 25.41/16.73 tff(15607,plain,
% 25.41/16.73 (v84(constB138, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15606, 15495])).
% 25.41/16.73 tff(15608,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15609,plain,
% 25.41/16.73 (((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0)) <=> ((~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15610,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0)))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15609])).
% 25.41/16.73 tff(15611,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15610, 15608])).
% 25.41/16.73 tff(15612,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB138, constB139)) | (~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15613,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | (~nextState(constB138, constB139)) | v94(constB139) | v84(constB139, bitIndex0)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15612, 15611])).
% 25.41/16.73 tff(15614,plain,
% 25.41/16.73 ((~v84(constB138, bitIndex0)) | v94(constB139) | v84(constB139, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15613, 595, 15523])).
% 25.41/16.73 tff(15615,plain,
% 25.41/16.73 ((~v84(constB138, bitIndex0)) | v84(constB139, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15614, 15535])).
% 25.41/16.73 tff(15616,plain,
% 25.41/16.73 (v84(constB139, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15615, 15607])).
% 25.41/16.73 tff(15617,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15618,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15619,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 25.41/16.73 tff(15620,plain,
% 25.41/16.73 (v116(constB139)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15619, 1181, 15616, 15544, 15585])).
% 25.41/16.73 tff(15621,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB139)) | v110(constB139))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB139)) | v110(constB139))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15622,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB139)) | v110(constB139))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15623,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB139)) | v110(constB139)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 25.41/16.73 tff(15624,plain,
% 25.41/16.73 (v110(constB139)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15623, 1192, 15620])).
% 25.41/16.73 tff(15625,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB139) | (~v110(constB139)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB139) | (~v110(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15626,plain,
% 25.41/16.73 (((~v110(constB139)) | v109(constB139)) <=> (v109(constB139) | (~v110(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15627,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB139)) | v109(constB139))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB139) | (~v110(constB139))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15626])).
% 25.41/16.73 tff(15628,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB139)) | v109(constB139))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB139) | (~v110(constB139)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15627, 15625])).
% 25.41/16.73 tff(15629,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB139)) | v109(constB139))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15630,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB139) | (~v110(constB139))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15629, 15628])).
% 25.41/16.73 tff(15631,plain,
% 25.41/16.73 (v109(constB139)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15630, 221, 15624])).
% 25.41/16.73 tff(15632,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v109(constB139)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v109(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15633,plain,
% 25.41/16.73 (((~v109(constB139)) | v108(constB139)) <=> (v108(constB139) | (~v109(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15634,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB139) | (~v109(constB139))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15633])).
% 25.41/16.73 tff(15635,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB139)) | v108(constB139))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v109(constB139)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15634, 15632])).
% 25.41/16.73 tff(15636,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB139)) | v108(constB139))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15637,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB139) | (~v109(constB139))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 25.41/16.73 tff(15638,plain,
% 25.41/16.73 (v108(constB139)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15637, 235, 15631])).
% 25.41/16.73 tff(15639,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB139) | (~v108(constB139)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB139) | (~v108(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15640,plain,
% 25.41/16.73 (((~v108(constB139)) | v107(constB139)) <=> (v107(constB139) | (~v108(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15641,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB139)) | v107(constB139))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB139) | (~v108(constB139))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15640])).
% 25.41/16.73 tff(15642,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB139)) | v107(constB139))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB139) | (~v108(constB139)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15641, 15639])).
% 25.41/16.73 tff(15643,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB139)) | v107(constB139))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15644,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB139) | (~v108(constB139))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15643, 15642])).
% 25.41/16.73 tff(15645,plain,
% 25.41/16.73 (v107(constB139)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15644, 249, 15638])).
% 25.41/16.73 tff(15646,assumption,(v26(constB139)), introduced(assumption)).
% 25.41/16.73 tff(15647,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB139))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15648,plain,
% 25.41/16.73 ($false),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15647, 18, 15646])).
% 25.41/16.73 tff(15649,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.73 tff(15650,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15651,plain,
% 25.41/16.73 ((v26(constB139) | (~v107(constB139)) | v106(constB139)) <=> (v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15652,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15651])).
% 25.41/16.73 tff(15653,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15652, 15650])).
% 25.41/16.73 tff(15654,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15655,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15654, 15653])).
% 25.41/16.73 tff(15656,plain,
% 25.41/16.73 (v106(constB139) | (~v107(constB139))),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15655, 263, 15649])).
% 25.41/16.73 tff(15657,plain,
% 25.41/16.73 (v106(constB139)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15656, 15645])).
% 25.41/16.73 tff(15658,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB139) | (~v106(constB139)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB139) | (~v106(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15659,plain,
% 25.41/16.73 (((~v106(constB139)) | v102(constB139)) <=> (v102(constB139) | (~v106(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15660,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB139)) | v102(constB139))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB139) | (~v106(constB139))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15659])).
% 25.41/16.73 tff(15661,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB139)) | v102(constB139))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB139) | (~v106(constB139)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15660, 15658])).
% 25.41/16.73 tff(15662,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB139)) | v102(constB139))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15663,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB139) | (~v106(constB139))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15662, 15661])).
% 25.41/16.73 tff(15664,plain,
% 25.41/16.73 (v102(constB139)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15663, 275, 15657])).
% 25.41/16.73 tff(15665,plain,
% 25.41/16.73 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15666,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 25.41/16.73 tff(15667,plain,
% 25.41/16.73 (nextState(constB139, constB140)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15666, 15665])).
% 25.41/16.73 tff(15668,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15669,plain,
% 25.41/16.73 (((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140)) <=> ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15670,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15669])).
% 25.41/16.73 tff(15671,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15670, 15668])).
% 25.41/16.73 tff(15672,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15673,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15672, 15671])).
% 25.41/16.73 tff(15674,plain,
% 25.41/16.73 (v104(constB140) | (~v102(constB139))),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15673, 295, 15667])).
% 25.41/16.73 tff(15675,plain,
% 25.41/16.73 (v104(constB140)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15674, 15664])).
% 25.41/16.73 tff(15676,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15677,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15678,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15677, 15676])).
% 25.41/16.73 tff(15679,plain,
% 25.41/16.73 (~v98(constB140)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15678, 313, 15667, 15520])).
% 25.41/16.73 tff(15680,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15681,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15682,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15681, 15680])).
% 25.41/16.73 tff(15683,plain,
% 25.41/16.73 (v96(constB140) | v98(constB140)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15682, 327, 15667])).
% 25.41/16.73 tff(15684,plain,
% 25.41/16.73 (v96(constB140)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15683, 15679])).
% 25.41/16.73 tff(15685,plain,
% 25.41/16.73 (v1(constB140) <=> v1(constB140)),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15686,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 25.41/16.73 tff(15687,plain,
% 25.41/16.73 (v1(constB140)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15686, 15685])).
% 25.41/16.73 tff(15688,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15689,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15690,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 25.41/16.73 tff(15691,plain,
% 25.41/16.73 (v95(constB140) | (~v96(constB140))),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15690, 345, 15667, 15687])).
% 25.41/16.73 tff(15692,plain,
% 25.41/16.73 (v95(constB140)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15691, 15684])).
% 25.41/16.73 tff(15693,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15694,plain,
% 25.41/16.73 (((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140)) <=> ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15695,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15694])).
% 25.41/16.73 tff(15696,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15695, 15693])).
% 25.41/16.73 tff(15697,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15698,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | v94(constB140) | (~v95(constB140)) | (~v104(constB140))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15697, 15696])).
% 25.41/16.73 tff(15699,plain,
% 25.41/16.73 (v94(constB140) | (~v95(constB140)) | (~v104(constB140))),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15698, 360, 15667])).
% 25.41/16.73 tff(15700,plain,
% 25.41/16.73 (v94(constB140) | (~v104(constB140))),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15699, 15692])).
% 25.41/16.73 tff(15701,plain,
% 25.41/16.73 (v94(constB140)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15700, 15675])).
% 25.41/16.73 tff(15702,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB139)) | (~v124(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB139)) | (~v124(constB139, bitIndex0)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15703,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB139)) | (~v124(constB139, bitIndex0)))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15704,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB139)) | (~v124(constB139, bitIndex0))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15703, 15702])).
% 25.41/16.73 tff(15705,plain,
% 25.41/16.73 (~v124(constB139, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15704, 1410, 15620])).
% 25.41/16.73 tff(15706,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15707,plain,
% 25.41/16.73 ((v26(constB139) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0))) <=> ((~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15708,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB139) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0)))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15707])).
% 25.41/16.73 tff(15709,plain,
% 25.41/16.73 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB139) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15708, 15706])).
% 25.41/16.73 tff(15710,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB139) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0)))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15711,plain,
% 25.41/16.73 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB139, bitIndex0)) | v26(constB139) | v124(constB139, bitIndex0)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15710, 15709])).
% 25.41/16.73 tff(15712,plain,
% 25.41/16.73 ((~v121(constB139, bitIndex0)) | v124(constB139, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15711, 890, 15649])).
% 25.41/16.73 tff(15713,plain,
% 25.41/16.73 (~v121(constB139, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15712, 15705])).
% 25.41/16.73 tff(15714,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15715,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0)))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15716,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15715, 15714])).
% 25.41/16.73 tff(15717,plain,
% 25.41/16.73 (v121(constB139, bitIndex0) | (~v123(constB140, bitIndex0))),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15716, 908, 15667])).
% 25.41/16.73 tff(15718,plain,
% 25.41/16.73 (~v123(constB140, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15717, 15713])).
% 25.41/16.73 tff(15719,plain,
% 25.41/16.73 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15720,plain,
% 25.41/16.73 (((~v84(constB140, bitIndex0)) | (~v94(constB140)) | v123(constB140, bitIndex0)) <=> ((~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15721,plain,
% 25.41/16.73 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~v94(constB140)) | v123(constB140, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15720])).
% 25.41/16.73 tff(15722,plain,
% 25.41/16.73 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~v94(constB140)) | v123(constB140, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15721, 15719])).
% 25.41/16.73 tff(15723,plain,
% 25.41/16.73 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~v94(constB140)) | v123(constB140, bitIndex0))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15724,plain,
% 25.41/16.73 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0) | (~v94(constB140))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15723, 15722])).
% 25.41/16.73 tff(15725,plain,
% 25.41/16.73 ((~v84(constB140, bitIndex0)) | (~v94(constB140))),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15724, 923, 15718])).
% 25.41/16.73 tff(15726,plain,
% 25.41/16.73 (~v84(constB140, bitIndex0)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15725, 15701])).
% 25.41/16.73 tff(15727,plain,
% 25.41/16.73 ((~v1(constB141)) <=> (~v1(constB141))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15728,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 25.41/16.73 tff(15729,plain,
% 25.41/16.73 (~v1(constB141)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 25.41/16.73 tff(15730,plain,
% 25.41/16.73 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15731,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 25.41/16.73 tff(15732,plain,
% 25.41/16.73 (nextState(constB140, constB141)),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15731, 15730])).
% 25.41/16.73 tff(15733,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15734,plain,
% 25.41/16.73 (((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15735,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))))),
% 25.41/16.73 inference(monotonicity,[status(thm)],[15734])).
% 25.41/16.73 tff(15736,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 25.41/16.73 inference(transitivity,[status(thm)],[15735, 15733])).
% 25.41/16.73 tff(15737,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15738,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 25.41/16.73 tff(15739,plain,
% 25.41/16.73 (~v95(constB141)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15738, 73, 15732, 15729])).
% 25.41/16.73 tff(15740,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15741,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 25.41/16.73 inference(quant_inst,[status(thm)],[])).
% 25.41/16.73 tff(15742,plain,
% 25.41/16.73 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141))),
% 25.41/16.73 inference(modus_ponens,[status(thm)],[15741, 15740])).
% 25.41/16.73 tff(15743,plain,
% 25.41/16.73 (v95(constB141) | (~v94(constB141))),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15742, 90, 15732])).
% 25.41/16.73 tff(15744,plain,
% 25.41/16.73 (~v94(constB141)),
% 25.41/16.73 inference(unit_resolution,[status(thm)],[15743, 15739])).
% 25.41/16.73 tff(15745,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15746,plain,
% 25.41/16.73 (((~nextState(constB140, constB141)) | v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0))) <=> (v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0)))),
% 25.41/16.73 inference(rewrite,[status(thm)],[])).
% 25.41/16.73 tff(15747,plain,
% 25.41/16.73 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0))))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15746])).
% 25.41/16.74 tff(15748,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0)))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15747, 15745])).
% 25.41/16.74 tff(15749,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0)))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15750,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex0))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15749, 15748])).
% 25.41/16.74 tff(15751,plain,
% 25.41/16.74 (v84(constB140, bitIndex0) | v94(constB141) | (~v84(constB141, bitIndex0))),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15750, 147, 15732])).
% 25.41/16.74 tff(15752,plain,
% 25.41/16.74 (v84(constB140, bitIndex0) | (~v84(constB141, bitIndex0))),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15751, 15744])).
% 25.41/16.74 tff(15753,plain,
% 25.41/16.74 (~v84(constB141, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15752, 15726])).
% 25.41/16.74 tff(15754,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB139)) | (~v124(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB139)) | (~v124(constB139, bitIndex1)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15755,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB139)) | (~v124(constB139, bitIndex1)))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15756,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB139)) | (~v124(constB139, bitIndex1))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15755, 15754])).
% 25.41/16.74 tff(15757,plain,
% 25.41/16.74 (~v124(constB139, bitIndex1)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15756, 1369, 15620])).
% 25.41/16.74 tff(15758,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15759,plain,
% 25.41/16.74 ((v26(constB139) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1))) <=> ((~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15760,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB139) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1)))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15759])).
% 25.41/16.74 tff(15761,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB139) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15760, 15758])).
% 25.41/16.74 tff(15762,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB139) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1)))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15763,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB139, bitIndex1)) | v26(constB139) | v124(constB139, bitIndex1)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15762, 15761])).
% 25.41/16.74 tff(15764,plain,
% 25.41/16.74 ((~v121(constB139, bitIndex1)) | v124(constB139, bitIndex1)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15763, 476, 15649])).
% 25.41/16.74 tff(15765,plain,
% 25.41/16.74 (~v121(constB139, bitIndex1)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15764, 15757])).
% 25.41/16.74 tff(15766,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15767,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1)))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15768,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15767, 15766])).
% 25.41/16.74 tff(15769,plain,
% 25.41/16.74 (v121(constB139, bitIndex1) | (~v123(constB140, bitIndex1))),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15768, 494, 15667])).
% 25.41/16.74 tff(15770,plain,
% 25.41/16.74 (~v123(constB140, bitIndex1)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15769, 15765])).
% 25.41/16.74 tff(15771,plain,
% 25.41/16.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15772,plain,
% 25.41/16.74 (((~v84(constB140, bitIndex1)) | (~v94(constB140)) | v123(constB140, bitIndex1)) <=> ((~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15773,plain,
% 25.41/16.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~v94(constB140)) | v123(constB140, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140))))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15772])).
% 25.41/16.74 tff(15774,plain,
% 25.41/16.74 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~v94(constB140)) | v123(constB140, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140)))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15773, 15771])).
% 25.41/16.74 tff(15775,plain,
% 25.41/16.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~v94(constB140)) | v123(constB140, bitIndex1))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15776,plain,
% 25.41/16.74 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1) | (~v94(constB140))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 25.41/16.74 tff(15777,plain,
% 25.41/16.74 ((~v84(constB140, bitIndex1)) | (~v94(constB140))),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15776, 509, 15770])).
% 25.41/16.74 tff(15778,plain,
% 25.41/16.74 (~v84(constB140, bitIndex1)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15777, 15701])).
% 25.41/16.74 tff(15779,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15780,plain,
% 25.41/16.74 (((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1))) <=> (v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15781,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1))))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15780])).
% 25.41/16.74 tff(15782,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15781, 15779])).
% 25.41/16.74 tff(15783,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1)))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15784,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex1))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15783, 15782])).
% 25.41/16.74 tff(15785,plain,
% 25.41/16.74 (v84(constB140, bitIndex1) | v94(constB141) | (~v84(constB141, bitIndex1))),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15784, 126, 15732])).
% 25.41/16.74 tff(15786,plain,
% 25.41/16.74 (v84(constB140, bitIndex1) | (~v84(constB141, bitIndex1))),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15785, 15744])).
% 25.41/16.74 tff(15787,plain,
% 25.41/16.74 (~v84(constB141, bitIndex1)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15786, 15778])).
% 25.41/16.74 tff(15788,assumption,(~v84(constB141, bitIndex0)), introduced(assumption)).
% 25.41/16.74 tff(15789,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15790,plain,
% 25.41/16.74 (((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0)) <=> ((~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15791,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0)))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15790])).
% 25.41/16.74 tff(15792,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15791, 15789])).
% 25.41/16.74 tff(15793,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15794,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB140, bitIndex0)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex0)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15793, 15792])).
% 25.41/16.74 tff(15795,plain,
% 25.41/16.74 ((~v84(constB140, bitIndex0)) | v94(constB141) | v84(constB141, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15794, 595, 15732])).
% 25.41/16.74 tff(15796,plain,
% 25.41/16.74 ((~v84(constB140, bitIndex0)) | v84(constB141, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15795, 15744])).
% 25.41/16.74 tff(15797,plain,
% 25.41/16.74 (~v84(constB140, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15796, 15788])).
% 25.41/16.74 tff(15798,assumption,(~v94(constB140)), introduced(assumption)).
% 25.41/16.74 tff(15799,plain,
% 25.41/16.74 (~v104(constB140)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15700, 15798])).
% 25.41/16.74 tff(15800,plain,
% 25.41/16.74 (~v102(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15674, 15799])).
% 25.41/16.74 tff(15801,plain,
% 25.41/16.74 (~v106(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15663, 275, 15800])).
% 25.41/16.74 tff(15802,plain,
% 25.41/16.74 (~v107(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15656, 15801])).
% 25.41/16.74 tff(15803,plain,
% 25.41/16.74 (~v108(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15644, 249, 15802])).
% 25.41/16.74 tff(15804,plain,
% 25.41/16.74 (~v109(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15637, 235, 15803])).
% 25.41/16.74 tff(15805,plain,
% 25.41/16.74 (~v110(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15630, 221, 15804])).
% 25.41/16.74 tff(15806,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB139)) | v110(constB139))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB139)) | v110(constB139))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15807,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB139)) | v110(constB139))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15808,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB139)) | v110(constB139)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15807, 15806])).
% 25.41/16.74 tff(15809,plain,
% 25.41/16.74 (~v111(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15808, 207, 15805])).
% 25.41/16.74 tff(15810,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB139) | (~v119(constB139)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB139) | (~v119(constB139)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15811,plain,
% 25.41/16.74 (((~v119(constB139)) | v107(constB139)) <=> (v107(constB139) | (~v119(constB139)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15812,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB139)) | v107(constB139))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB139) | (~v119(constB139))))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15811])).
% 25.41/16.74 tff(15813,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB139)) | v107(constB139))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB139) | (~v119(constB139)))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15812, 15810])).
% 25.41/16.74 tff(15814,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB139)) | v107(constB139))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15815,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB139) | (~v119(constB139))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15814, 15813])).
% 25.41/16.74 tff(15816,plain,
% 25.41/16.74 (~v119(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15815, 1910, 15802])).
% 25.41/16.74 tff(15817,assumption,(~v84(constB140, bitIndex0)), introduced(assumption)).
% 25.41/16.74 tff(15818,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15819,plain,
% 25.41/16.74 (((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0)) <=> ((~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15820,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0)))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15819])).
% 25.41/16.74 tff(15821,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15820, 15818])).
% 25.41/16.74 tff(15822,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15823,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB139, bitIndex0)) | (~nextState(constB139, constB140)) | v94(constB140) | v84(constB140, bitIndex0)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15822, 15821])).
% 25.41/16.74 tff(15824,plain,
% 25.41/16.74 ((~v84(constB139, bitIndex0)) | v94(constB140) | v84(constB140, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15823, 595, 15667])).
% 25.41/16.74 tff(15825,plain,
% 25.41/16.74 (~v84(constB139, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15824, 15798, 15817])).
% 25.41/16.74 tff(15826,assumption,(v113(constB139)), introduced(assumption)).
% 25.41/16.74 tff(15827,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB139)) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB139)) | v124(constB139, bitIndex0))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15828,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB139)) | v124(constB139, bitIndex0))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15829,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB139)) | v124(constB139, bitIndex0)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15828, 15827])).
% 25.41/16.74 tff(15830,plain,
% 25.41/16.74 (v124(constB139, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15829, 533, 15826])).
% 25.41/16.74 tff(15831,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15832,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15833,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB139) | (~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15832, 15831])).
% 25.41/16.74 tff(15834,plain,
% 25.41/16.74 ((~v124(constB139, bitIndex0)) | v121(constB139, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15833, 547, 15649])).
% 25.41/16.74 tff(15835,plain,
% 25.41/16.74 (v121(constB139, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15834, 15830])).
% 25.41/16.74 tff(15836,plain,
% 25.41/16.74 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15837,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15838,plain,
% 25.41/16.74 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15837, 15836])).
% 25.41/16.74 tff(15839,plain,
% 25.41/16.74 ((~v121(constB139, bitIndex0)) | v123(constB140, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15838, 562, 15667])).
% 25.41/16.74 tff(15840,plain,
% 25.41/16.74 (v123(constB140, bitIndex0)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15839, 15835])).
% 25.41/16.74 tff(15841,plain,
% 25.41/16.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15842,plain,
% 25.41/16.74 ((v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0))) <=> (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15843,plain,
% 25.41/16.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140))))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15842])).
% 25.41/16.74 tff(15844,plain,
% 25.41/16.74 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140)))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15843, 15841])).
% 25.41/16.74 tff(15845,plain,
% 25.41/16.74 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB140, bitIndex0) | (~v94(constB140)) | (~v123(constB140, bitIndex0)))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15846,plain,
% 25.41/16.74 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)) | (~v94(constB140))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15845, 15844])).
% 25.41/16.74 tff(15847,plain,
% 25.41/16.74 ((~v123(constB140, bitIndex0)) | (~v94(constB140))),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15846, 577, 15817])).
% 25.41/16.74 tff(15848,plain,
% 25.41/16.74 (~v94(constB140)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15847, 15840])).
% 25.41/16.74 tff(15849,plain,
% 25.41/16.74 (~v104(constB140)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15700, 15848])).
% 25.41/16.74 tff(15850,plain,
% 25.41/16.74 (~v102(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15674, 15849])).
% 25.41/16.74 tff(15851,plain,
% 25.41/16.74 (~v106(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15663, 275, 15850])).
% 25.41/16.74 tff(15852,plain,
% 25.41/16.74 (~v107(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15656, 15851])).
% 25.41/16.74 tff(15853,plain,
% 25.41/16.74 (~v108(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15644, 249, 15852])).
% 25.41/16.74 tff(15854,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB139) | (~v113(constB139)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15855,plain,
% 25.41/16.74 (((~v113(constB139)) | v112(constB139)) <=> (v112(constB139) | (~v113(constB139)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15856,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB139) | (~v113(constB139))))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15855])).
% 25.41/16.74 tff(15857,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB139)) | v112(constB139))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB139) | (~v113(constB139)))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15856, 15854])).
% 25.41/16.74 tff(15858,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB139)) | v112(constB139))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15859,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB139) | (~v113(constB139))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15858, 15857])).
% 25.41/16.74 tff(15860,plain,
% 25.41/16.74 (v112(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15859, 182, 15826])).
% 25.41/16.74 tff(15861,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB139) | (~v112(constB139)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15862,plain,
% 25.41/16.74 (((~v112(constB139)) | v111(constB139)) <=> (v111(constB139) | (~v112(constB139)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15863,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB139)) | v111(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB139) | (~v112(constB139))))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15862])).
% 25.41/16.74 tff(15864,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB139)) | v111(constB139))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB139) | (~v112(constB139)))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15863, 15861])).
% 25.41/16.74 tff(15865,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB139)) | v111(constB139))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15866,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB139) | (~v112(constB139))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15865, 15864])).
% 25.41/16.74 tff(15867,plain,
% 25.41/16.74 (v111(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15866, 193, 15860])).
% 25.41/16.74 tff(15868,plain,
% 25.41/16.74 (v110(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15808, 207, 15867])).
% 25.41/16.74 tff(15869,plain,
% 25.41/16.74 (v109(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15630, 221, 15868])).
% 25.41/16.74 tff(15870,plain,
% 25.41/16.74 ($false),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15637, 235, 15869, 15853])).
% 25.41/16.74 tff(15871,plain,((~v113(constB139)) | v84(constB140, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.74 tff(15872,plain,
% 25.41/16.74 (~v113(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15871, 15817])).
% 25.41/16.74 tff(15873,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB139) | (~v172(constB139)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB139) | (~v172(constB139)))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15874,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB139) | (~v172(constB139)))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15875,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB139) | (~v172(constB139))),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15874, 15873])).
% 25.41/16.74 tff(15876,plain,
% 25.41/16.74 (~v172(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15875, 1468, 15804])).
% 25.41/16.74 tff(15877,assumption,(~v84(constB139, bitIndex0)), introduced(assumption)).
% 25.41/16.74 tff(15878,assumption,(~v115(constB139)), introduced(assumption)).
% 25.41/16.74 tff(15879,assumption,(~v113(constB139)), introduced(assumption)).
% 25.41/16.74 tff(15880,assumption,(~v84(constB139, bitIndex2)), introduced(assumption)).
% 25.41/16.74 tff(15881,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15882,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15883,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15882, 15881])).
% 25.41/16.74 tff(15884,plain,
% 25.41/16.74 (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15883, 950, 15878])).
% 25.41/16.74 tff(15885,plain,
% 25.41/16.74 (~v84(constB139, bitIndex1)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15884, 15880, 15877])).
% 25.41/16.74 tff(15886,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15887,plain,
% 25.41/16.74 ((v84(constB139, bitIndex0) | v113(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2)) <=> (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15888,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v113(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139)))),
% 25.41/16.74 inference(monotonicity,[status(thm)],[15887])).
% 25.41/16.74 tff(15889,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v113(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139))),
% 25.41/16.74 inference(transitivity,[status(thm)],[15888, 15886])).
% 25.41/16.74 tff(15890,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB139, bitIndex0) | v113(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15891,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v113(constB139)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15890, 15889])).
% 25.41/16.74 tff(15892,plain,
% 25.41/16.74 (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15891, 168, 15879])).
% 25.41/16.74 tff(15893,plain,
% 25.41/16.74 ($false),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15892, 15885, 15880, 15877])).
% 25.41/16.74 tff(15894,plain,(v84(constB139, bitIndex2) | v84(constB139, bitIndex0) | v113(constB139) | v115(constB139)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.74 tff(15895,plain,
% 25.41/16.74 (v84(constB139, bitIndex2)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15894, 15877, 15879, 15878])).
% 25.41/16.74 tff(15896,assumption,(~v119(constB139)), introduced(assumption)).
% 25.41/16.74 tff(15897,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)) | v119(constB139))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)) | v119(constB139))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15898,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)) | v119(constB139))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15899,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)) | v119(constB139)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15898, 15897])).
% 25.41/16.74 tff(15900,plain,
% 25.41/16.74 (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2))),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15899, 1899, 15896])).
% 25.41/16.74 tff(15901,plain,
% 25.41/16.74 (~v84(constB139, bitIndex1)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15900, 15895, 15877])).
% 25.41/16.74 tff(15902,assumption,(~v172(constB139)), introduced(assumption)).
% 25.41/16.74 tff(15903,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v172(constB139))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v172(constB139))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15904,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v172(constB139))),
% 25.41/16.74 inference(quant_inst,[status(thm)],[])).
% 25.41/16.74 tff(15905,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v172(constB139)),
% 25.41/16.74 inference(modus_ponens,[status(thm)],[15904, 15903])).
% 25.41/16.74 tff(15906,plain,
% 25.41/16.74 (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2))),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15905, 1454, 15902])).
% 25.41/16.74 tff(15907,plain,
% 25.41/16.74 ($false),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15906, 15901, 15895, 15877])).
% 25.41/16.74 tff(15908,plain,(v84(constB139, bitIndex0) | v172(constB139) | v119(constB139) | v113(constB139) | v115(constB139)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.74 tff(15909,plain,
% 25.41/16.74 (v115(constB139)),
% 25.41/16.74 inference(unit_resolution,[status(thm)],[15908, 15876, 15872, 15825, 15816])).
% 25.41/16.74 tff(15910,plain,
% 25.41/16.74 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB139)) | v111(constB139))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB139)) | v111(constB139))),
% 25.41/16.74 inference(rewrite,[status(thm)],[])).
% 25.41/16.74 tff(15911,plain,
% 25.41/16.74 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB139)) | v111(constB139))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15912,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB139)) | v111(constB139)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15911, 15910])).
% 25.41/16.75 tff(15913,plain,
% 25.41/16.75 ($false),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15912, 961, 15909, 15809])).
% 25.41/16.75 tff(15914,plain,(v94(constB140) | v84(constB140, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.75 tff(15915,plain,
% 25.41/16.75 (v94(constB140)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15914, 15797])).
% 25.41/16.75 tff(15916,plain,
% 25.41/16.75 ((~v123(constB140, bitIndex0)) | (~v94(constB140))),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15846, 577, 15797])).
% 25.41/16.75 tff(15917,plain,
% 25.41/16.75 (~v123(constB140, bitIndex0)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15916, 15915])).
% 25.41/16.75 tff(15918,plain,
% 25.41/16.75 (~v121(constB139, bitIndex0)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15839, 15917])).
% 25.41/16.75 tff(15919,plain,
% 25.41/16.75 (~v124(constB139, bitIndex0)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15834, 15918])).
% 25.41/16.75 tff(15920,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB139)) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB139)) | v124(constB139, bitIndex0))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15921,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB139)) | v124(constB139, bitIndex0))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15922,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB139)) | v124(constB139, bitIndex0)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15921, 15920])).
% 25.41/16.75 tff(15923,plain,
% 25.41/16.75 (~v172(constB139)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15922, 1636, 15919])).
% 25.41/16.75 tff(15924,assumption,(~v145(constB139)), introduced(assumption)).
% 25.41/16.75 tff(15925,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB139)) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB139)) | v124(constB139, bitIndex0))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15926,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB139)) | v124(constB139, bitIndex0))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15927,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB139)) | v124(constB139, bitIndex0)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15926, 15925])).
% 25.41/16.75 tff(15928,plain,
% 25.41/16.75 (~v115(constB139)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15927, 1140, 15919])).
% 25.41/16.75 tff(15929,assumption,(~v84(constB141, bitIndex1)), introduced(assumption)).
% 25.41/16.75 tff(15930,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15931,plain,
% 25.41/16.75 (((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1)) <=> ((~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15932,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1)))),
% 25.41/16.75 inference(monotonicity,[status(thm)],[15931])).
% 25.41/16.75 tff(15933,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1))),
% 25.41/16.75 inference(transitivity,[status(thm)],[15932, 15930])).
% 25.41/16.75 tff(15934,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15935,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB140, bitIndex1)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex1)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15934, 15933])).
% 25.41/16.75 tff(15936,plain,
% 25.41/16.75 ((~v84(constB140, bitIndex1)) | v94(constB141) | v84(constB141, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15935, 860, 15732])).
% 25.41/16.75 tff(15937,plain,
% 25.41/16.75 ((~v84(constB140, bitIndex1)) | v84(constB141, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15936, 15744])).
% 25.41/16.75 tff(15938,plain,
% 25.41/16.75 (~v84(constB140, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15937, 15929])).
% 25.41/16.75 tff(15939,plain,
% 25.41/16.75 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15940,plain,
% 25.41/16.75 ((v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1))) <=> (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15941,plain,
% 25.41/16.75 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140))))),
% 25.41/16.75 inference(monotonicity,[status(thm)],[15940])).
% 25.41/16.75 tff(15942,plain,
% 25.41/16.75 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140)))),
% 25.41/16.75 inference(transitivity,[status(thm)],[15941, 15939])).
% 25.41/16.75 tff(15943,plain,
% 25.41/16.75 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB140, bitIndex1) | (~v94(constB140)) | (~v123(constB140, bitIndex1)))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15944,plain,
% 25.41/16.75 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)) | (~v94(constB140))),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15943, 15942])).
% 25.41/16.75 tff(15945,plain,
% 25.41/16.75 (v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1))),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15944, 842, 15915])).
% 25.41/16.75 tff(15946,plain,
% 25.41/16.75 (~v123(constB140, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15945, 15938])).
% 25.41/16.75 tff(15947,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15948,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15949,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15948, 15947])).
% 25.41/16.75 tff(15950,plain,
% 25.41/16.75 ((~v121(constB139, bitIndex1)) | v123(constB140, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15949, 827, 15667])).
% 25.41/16.75 tff(15951,plain,
% 25.41/16.75 (~v121(constB139, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15950, 15946])).
% 25.41/16.75 tff(15952,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15953,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15954,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB139) | (~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15953, 15952])).
% 25.41/16.75 tff(15955,plain,
% 25.41/16.75 ((~v124(constB139, bitIndex1)) | v121(constB139, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15954, 812, 15649])).
% 25.41/16.75 tff(15956,plain,
% 25.41/16.75 (~v124(constB139, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15955, 15951])).
% 25.41/16.75 tff(15957,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB139)) | v124(constB139, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB139)) | v124(constB139, bitIndex1))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15958,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB139)) | v124(constB139, bitIndex1))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15959,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB139)) | v124(constB139, bitIndex1)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 25.41/16.75 tff(15960,plain,
% 25.41/16.75 (~v118(constB139)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15959, 1817, 15956])).
% 25.41/16.75 tff(15961,assumption,(~v172(constB141)), introduced(assumption)).
% 25.41/16.75 tff(15962,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15963,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15964,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15963, 15962])).
% 25.41/16.75 tff(15965,plain,
% 25.41/16.75 (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2))),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15964, 1454, 15961])).
% 25.41/16.75 tff(15966,plain,
% 25.41/16.75 (~v84(constB141, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15965, 15929, 15788])).
% 25.41/16.75 tff(15967,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15968,plain,
% 25.41/16.75 (((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2)) <=> ((~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15969,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2)))),
% 25.41/16.75 inference(monotonicity,[status(thm)],[15968])).
% 25.41/16.75 tff(15970,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2))),
% 25.41/16.75 inference(transitivity,[status(thm)],[15969, 15967])).
% 25.41/16.75 tff(15971,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB140, constB141)) | (~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15972,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB140, bitIndex2)) | (~nextState(constB140, constB141)) | v94(constB141) | v84(constB141, bitIndex2)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15971, 15970])).
% 25.41/16.75 tff(15973,plain,
% 25.41/16.75 ((~v84(constB140, bitIndex2)) | v94(constB141) | v84(constB141, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15972, 1353, 15732])).
% 25.41/16.75 tff(15974,plain,
% 25.41/16.75 ((~v84(constB140, bitIndex2)) | v84(constB141, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15973, 15744])).
% 25.41/16.75 tff(15975,plain,
% 25.41/16.75 (~v84(constB140, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15974, 15966])).
% 25.41/16.75 tff(15976,plain,
% 25.41/16.75 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15977,plain,
% 25.41/16.75 ((v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2))) <=> (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15978,plain,
% 25.41/16.75 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140))))),
% 25.41/16.75 inference(monotonicity,[status(thm)],[15977])).
% 25.41/16.75 tff(15979,plain,
% 25.41/16.75 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140)))),
% 25.41/16.75 inference(transitivity,[status(thm)],[15978, 15976])).
% 25.41/16.75 tff(15980,plain,
% 25.41/16.75 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~v94(constB140)) | (~v123(constB140, bitIndex2)))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15981,plain,
% 25.41/16.75 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)) | (~v94(constB140))),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15980, 15979])).
% 25.41/16.75 tff(15982,plain,
% 25.41/16.75 (v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2))),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15981, 1317, 15915])).
% 25.41/16.75 tff(15983,plain,
% 25.41/16.75 (~v123(constB140, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15982, 15975])).
% 25.41/16.75 tff(15984,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15985,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15986,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB139, constB140)) | (~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15985, 15984])).
% 25.41/16.75 tff(15987,plain,
% 25.41/16.75 ((~v121(constB139, bitIndex2)) | v123(constB140, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15986, 1302, 15667])).
% 25.41/16.75 tff(15988,plain,
% 25.41/16.75 (~v121(constB139, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15987, 15983])).
% 25.41/16.75 tff(15989,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15990,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15991,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB139) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15990, 15989])).
% 25.41/16.75 tff(15992,plain,
% 25.41/16.75 ((~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15991, 1287, 15649])).
% 25.41/16.75 tff(15993,plain,
% 25.41/16.75 (~v124(constB139, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15992, 15988])).
% 25.41/16.75 tff(15994,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB139)) | v124(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB139)) | v124(constB139, bitIndex2))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(15995,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB139)) | v124(constB139, bitIndex2))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(15996,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB139)) | v124(constB139, bitIndex2)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[15995, 15994])).
% 25.41/16.75 tff(15997,plain,
% 25.41/16.75 (~v116(constB139)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15996, 1273, 15993])).
% 25.41/16.75 tff(15998,plain,
% 25.41/16.75 (~v113(constB139)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[15871, 15797])).
% 25.41/16.75 tff(15999,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB139, bitIndex0) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB139, bitIndex0) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16000,plain,
% 25.41/16.75 ((v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | v124(constB139, bitIndex0)) <=> (v124(constB139, bitIndex0) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16001,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB139, bitIndex0) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139)))),
% 25.41/16.75 inference(monotonicity,[status(thm)],[16000])).
% 25.41/16.75 tff(16002,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | v124(constB139, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB139, bitIndex0) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139))),
% 25.41/16.75 inference(transitivity,[status(thm)],[16001, 15999])).
% 25.41/16.75 tff(16003,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | v124(constB139, bitIndex0))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(16004,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB139, bitIndex0) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[16003, 16002])).
% 25.41/16.75 tff(16005,plain,
% 25.41/16.75 (v124(constB139, bitIndex0) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16004, 2152, 15998])).
% 25.41/16.75 tff(16006,plain,
% 25.41/16.75 ($false),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16005, 15997, 15960, 15919, 15928, 15924, 15923])).
% 25.41/16.75 tff(16007,plain,(v84(constB141, bitIndex1) | v145(constB139) | v84(constB141, bitIndex0) | v172(constB141)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.75 tff(16008,plain,
% 25.41/16.75 (v172(constB141)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16007, 15787, 15753, 15548])).
% 25.41/16.75 tff(16009,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB141)) | v124(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB141)) | v124(constB141, bitIndex2))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16010,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB141)) | v124(constB141, bitIndex2))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(16011,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB141)) | v124(constB141, bitIndex2)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[16010, 16009])).
% 25.41/16.75 tff(16012,plain,
% 25.41/16.75 (v124(constB141, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16011, 1539, 16008])).
% 25.41/16.75 tff(16013,assumption,(v26(constB141)), introduced(assumption)).
% 25.41/16.75 tff(16014,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB141))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(16015,plain,
% 25.41/16.75 ($false),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16014, 18, 16013])).
% 25.41/16.75 tff(16016,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.75 tff(16017,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16018,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(16019,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB141) | (~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[16018, 16017])).
% 25.41/16.75 tff(16020,plain,
% 25.41/16.75 ((~v124(constB141, bitIndex2)) | v121(constB141, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16019, 1287, 16016])).
% 25.41/16.75 tff(16021,plain,
% 25.41/16.75 (v121(constB141, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16020, 16012])).
% 25.41/16.75 tff(16022,plain,
% 25.41/16.75 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16023,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 25.41/16.75 tff(16024,plain,
% 25.41/16.75 (nextState(constB141, constB142)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 25.41/16.75 tff(16025,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16026,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(16027,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[16026, 16025])).
% 25.41/16.75 tff(16028,plain,
% 25.41/16.75 ((~v121(constB141, bitIndex2)) | v123(constB142, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16027, 1302, 16024])).
% 25.41/16.75 tff(16029,plain,
% 25.41/16.75 (v123(constB142, bitIndex2)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16028, 16021])).
% 25.41/16.75 tff(16030,assumption,(~v94(constB142)), introduced(assumption)).
% 25.41/16.75 tff(16031,assumption,(~v84(constB142, bitIndex1)), introduced(assumption)).
% 25.41/16.75 tff(16032,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex1))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16033,plain,
% 25.41/16.75 (((~nextState(constB141, constB142)) | (~v84(constB141, bitIndex1)) | v94(constB142) | v84(constB142, bitIndex1)) <=> ((~v84(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex1))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16034,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v84(constB141, bitIndex1)) | v94(constB142) | v84(constB142, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex1)))),
% 25.41/16.75 inference(monotonicity,[status(thm)],[16033])).
% 25.41/16.75 tff(16035,plain,
% 25.41/16.75 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v84(constB141, bitIndex1)) | v94(constB142) | v84(constB142, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex1))),
% 25.41/16.75 inference(transitivity,[status(thm)],[16034, 16032])).
% 25.41/16.75 tff(16036,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB141, constB142)) | (~v84(constB141, bitIndex1)) | v94(constB142) | v84(constB142, bitIndex1))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(16037,plain,
% 25.41/16.75 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB141, bitIndex1)) | (~nextState(constB141, constB142)) | v94(constB142) | v84(constB142, bitIndex1)),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[16036, 16035])).
% 25.41/16.75 tff(16038,plain,
% 25.41/16.75 ((~v84(constB141, bitIndex1)) | v94(constB142) | v84(constB142, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16037, 860, 16024])).
% 25.41/16.75 tff(16039,plain,
% 25.41/16.75 (~v84(constB141, bitIndex1)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16038, 16030, 16031])).
% 25.41/16.75 tff(16040,assumption,(~v109(constB141)), introduced(assumption)).
% 25.41/16.75 tff(16041,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB141) | (~v110(constB141)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB141) | (~v110(constB141)))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16042,plain,
% 25.41/16.75 (((~v110(constB141)) | v109(constB141)) <=> (v109(constB141) | (~v110(constB141)))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16043,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB141)) | v109(constB141))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB141) | (~v110(constB141))))),
% 25.41/16.75 inference(monotonicity,[status(thm)],[16042])).
% 25.41/16.75 tff(16044,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB141)) | v109(constB141))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB141) | (~v110(constB141)))),
% 25.41/16.75 inference(transitivity,[status(thm)],[16043, 16041])).
% 25.41/16.75 tff(16045,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB141)) | v109(constB141))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(16046,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB141) | (~v110(constB141))),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[16045, 16044])).
% 25.41/16.75 tff(16047,plain,
% 25.41/16.75 (~v110(constB141)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16046, 221, 16040])).
% 25.41/16.75 tff(16048,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB141) | (~v111(constB141)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB141) | (~v111(constB141)))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16049,plain,
% 25.41/16.75 (((~v111(constB141)) | v110(constB141)) <=> (v110(constB141) | (~v111(constB141)))),
% 25.41/16.75 inference(rewrite,[status(thm)],[])).
% 25.41/16.75 tff(16050,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB141)) | v110(constB141))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB141) | (~v111(constB141))))),
% 25.41/16.75 inference(monotonicity,[status(thm)],[16049])).
% 25.41/16.75 tff(16051,plain,
% 25.41/16.75 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB141)) | v110(constB141))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB141) | (~v111(constB141)))),
% 25.41/16.75 inference(transitivity,[status(thm)],[16050, 16048])).
% 25.41/16.75 tff(16052,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB141)) | v110(constB141))),
% 25.41/16.75 inference(quant_inst,[status(thm)],[])).
% 25.41/16.75 tff(16053,plain,
% 25.41/16.75 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB141) | (~v111(constB141))),
% 25.41/16.75 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 25.41/16.75 tff(16054,plain,
% 25.41/16.75 (~v111(constB141)),
% 25.41/16.75 inference(unit_resolution,[status(thm)],[16053, 207, 16047])).
% 25.41/16.76 tff(16055,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB141) | (~v172(constB141)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB141) | (~v172(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16056,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB141) | (~v172(constB141)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16057,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB141) | (~v172(constB141))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16056, 16055])).
% 25.41/16.76 tff(16058,plain,
% 25.41/16.76 (~v172(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16057, 1468, 16040])).
% 25.41/16.76 tff(16059,plain,
% 25.41/16.76 (v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15964, 1454, 15788])).
% 25.41/16.76 tff(16060,plain,
% 25.41/16.76 (~v84(constB141, bitIndex2)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16059, 16058, 15929])).
% 25.41/16.76 tff(16061,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v113(constB141))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v113(constB141))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16062,plain,
% 25.41/16.76 ((v84(constB141, bitIndex0) | v113(constB141) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2)) <=> (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v113(constB141))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16063,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB141, bitIndex0) | v113(constB141) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v113(constB141)))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16062])).
% 25.41/16.76 tff(16064,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB141, bitIndex0) | v113(constB141) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v113(constB141))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16063, 16061])).
% 25.41/16.76 tff(16065,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB141, bitIndex0) | v113(constB141) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16066,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v113(constB141)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16065, 16064])).
% 25.41/16.76 tff(16067,plain,
% 25.41/16.76 (v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v113(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16066, 168, 15788])).
% 25.41/16.76 tff(16068,plain,
% 25.41/16.76 (v113(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16067, 16060, 15929])).
% 25.41/16.76 tff(16069,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB141) | (~v113(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16070,plain,
% 25.41/16.76 (((~v113(constB141)) | v112(constB141)) <=> (v112(constB141) | (~v113(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16071,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB141) | (~v113(constB141))))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16070])).
% 25.41/16.76 tff(16072,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB141)) | v112(constB141))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB141) | (~v113(constB141)))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16071, 16069])).
% 25.41/16.76 tff(16073,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB141)) | v112(constB141))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16074,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB141) | (~v113(constB141))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16073, 16072])).
% 25.41/16.76 tff(16075,plain,
% 25.41/16.76 (v112(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16074, 182, 16068])).
% 25.41/16.76 tff(16076,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB141)) | v111(constB141))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB141)) | v111(constB141))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16077,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB141)) | v111(constB141))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16078,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB141)) | v111(constB141)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16077, 16076])).
% 25.41/16.76 tff(16079,plain,
% 25.41/16.76 ($false),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16078, 193, 16075, 16054])).
% 25.41/16.76 tff(16080,plain,(v109(constB141) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.76 tff(16081,plain,
% 25.41/16.76 (v109(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16080, 16039, 15788])).
% 25.41/16.76 tff(16082,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v109(constB141)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v109(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16083,plain,
% 25.41/16.76 (((~v109(constB141)) | v108(constB141)) <=> (v108(constB141) | (~v109(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16084,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB141) | (~v109(constB141))))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16083])).
% 25.41/16.76 tff(16085,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB141)) | v108(constB141))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v109(constB141)))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16084, 16082])).
% 25.41/16.76 tff(16086,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB141)) | v108(constB141))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16087,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB141) | (~v109(constB141))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16086, 16085])).
% 25.41/16.76 tff(16088,plain,
% 25.41/16.76 (v108(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16087, 235, 16081])).
% 25.41/16.76 tff(16089,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16090,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16091,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16090, 16089])).
% 25.41/16.76 tff(16092,plain,
% 25.41/16.76 (~v98(constB142)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16091, 313, 16024, 15729])).
% 25.41/16.76 tff(16093,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16094,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16095,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16094, 16093])).
% 25.41/16.76 tff(16096,plain,
% 25.41/16.76 (v96(constB142) | v98(constB142)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16095, 327, 16024])).
% 25.41/16.76 tff(16097,plain,
% 25.41/16.76 (v96(constB142)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16096, 16092])).
% 25.41/16.76 tff(16098,plain,
% 25.41/16.76 (v1(constB142) <=> v1(constB142)),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16099,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 25.41/16.76 tff(16100,plain,
% 25.41/16.76 (v1(constB142)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16099, 16098])).
% 25.41/16.76 tff(16101,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16102,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16103,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 25.41/16.76 tff(16104,plain,
% 25.41/16.76 (v95(constB142) | (~v96(constB142))),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16103, 345, 16024, 16100])).
% 25.41/16.76 tff(16105,plain,
% 25.41/16.76 (v95(constB142)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16104, 16097])).
% 25.41/16.76 tff(16106,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16107,plain,
% 25.41/16.76 (((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142)) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16108,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142))))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16107])).
% 25.41/16.76 tff(16109,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142)))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16108, 16106])).
% 25.41/16.76 tff(16110,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16111,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | v94(constB142) | (~v95(constB142)) | (~v104(constB142))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 25.41/16.76 tff(16112,plain,
% 25.41/16.76 (v94(constB142) | (~v95(constB142)) | (~v104(constB142))),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16111, 360, 16024])).
% 25.41/16.76 tff(16113,plain,
% 25.41/16.76 (v94(constB142) | (~v104(constB142))),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16112, 16105])).
% 25.41/16.76 tff(16114,plain,
% 25.41/16.76 (~v104(constB142)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16113, 16030])).
% 25.41/16.76 tff(16115,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16116,plain,
% 25.41/16.76 (((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142)) <=> ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16117,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16116])).
% 25.41/16.76 tff(16118,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16117, 16115])).
% 25.41/16.76 tff(16119,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16120,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16119, 16118])).
% 25.41/16.76 tff(16121,plain,
% 25.41/16.76 (v104(constB142) | (~v102(constB141))),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16120, 295, 16024])).
% 25.41/16.76 tff(16122,plain,
% 25.41/16.76 (~v102(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16121, 16114])).
% 25.41/16.76 tff(16123,assumption,(~v102(constB141)), introduced(assumption)).
% 25.41/16.76 tff(16124,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB141) | (~v106(constB141)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB141) | (~v106(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16125,plain,
% 25.41/16.76 (((~v106(constB141)) | v102(constB141)) <=> (v102(constB141) | (~v106(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16126,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB141)) | v102(constB141))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB141) | (~v106(constB141))))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16125])).
% 25.41/16.76 tff(16127,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB141)) | v102(constB141))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB141) | (~v106(constB141)))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16126, 16124])).
% 25.41/16.76 tff(16128,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB141)) | v102(constB141))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16129,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB141) | (~v106(constB141))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16128, 16127])).
% 25.41/16.76 tff(16130,plain,
% 25.41/16.76 (~v106(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16129, 275, 16123])).
% 25.41/16.76 tff(16131,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB141) | (~v26(constB141)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB141) | (~v26(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16132,plain,
% 25.41/16.76 (((~v26(constB141)) | v102(constB141)) <=> (v102(constB141) | (~v26(constB141)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16133,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB141)) | v102(constB141))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB141) | (~v26(constB141))))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16132])).
% 25.41/16.76 tff(16134,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB141)) | v102(constB141))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB141) | (~v26(constB141)))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16133, 16131])).
% 25.41/16.76 tff(16135,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB141)) | v102(constB141))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16136,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB141) | (~v26(constB141))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16135, 16134])).
% 25.41/16.76 tff(16137,plain,
% 25.41/16.76 (~v26(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16136, 660, 16123])).
% 25.41/16.76 tff(16138,assumption,(v107(constB141)), introduced(assumption)).
% 25.41/16.76 tff(16139,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | (~v107(constB141)) | v106(constB141))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16140,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16141,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | (~v107(constB141)) | v106(constB141)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16140, 16139])).
% 25.41/16.76 tff(16142,plain,
% 25.41/16.76 (v26(constB141) | v106(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16141, 263, 16138])).
% 25.41/16.76 tff(16143,plain,
% 25.41/16.76 ($false),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16142, 16137, 16130])).
% 25.41/16.76 tff(16144,plain,(v102(constB141) | (~v107(constB141))), inference(lemma,lemma(discharge,[]))).
% 25.41/16.76 tff(16145,plain,
% 25.41/16.76 (~v107(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16144, 16122])).
% 25.41/16.76 tff(16146,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB141)) | v107(constB141))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB141)) | v107(constB141))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16147,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB141)) | v107(constB141))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16148,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB141)) | v107(constB141)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16147, 16146])).
% 25.41/16.76 tff(16149,plain,
% 25.41/16.76 ($false),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16148, 249, 16145, 16088])).
% 25.41/16.76 tff(16150,plain,(v94(constB142) | v84(constB141, bitIndex0) | v84(constB142, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.76 tff(16151,plain,
% 25.41/16.76 (v84(constB142, bitIndex1)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16150, 16030, 15788])).
% 25.41/16.76 tff(16152,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16153,plain,
% 25.41/16.76 (((~nextState(constB141, constB142)) | v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1))) <=> (v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16154,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1))))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16153])).
% 25.41/16.76 tff(16155,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1)))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16154, 16152])).
% 25.41/16.76 tff(16156,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16157,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB141, bitIndex1) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex1))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16156, 16155])).
% 25.41/16.76 tff(16158,plain,
% 25.41/16.76 (v84(constB141, bitIndex1) | v94(constB142) | (~v84(constB142, bitIndex1))),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16157, 126, 16024])).
% 25.41/16.76 tff(16159,plain,
% 25.41/16.76 (v84(constB141, bitIndex1)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16158, 16151, 16030])).
% 25.41/16.76 tff(16160,plain,
% 25.41/16.76 (v84(constB140, bitIndex1)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15786, 16159])).
% 25.41/16.76 tff(16161,plain,
% 25.41/16.76 ((~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15776, 509, 15915])).
% 25.41/16.76 tff(16162,plain,
% 25.41/16.76 (v123(constB140, bitIndex1)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16161, 16160])).
% 25.41/16.76 tff(16163,plain,
% 25.41/16.76 (v121(constB139, bitIndex1)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15769, 16162])).
% 25.41/16.76 tff(16164,plain,
% 25.41/16.76 (v124(constB139, bitIndex1)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15764, 16163])).
% 25.41/16.76 tff(16165,plain,
% 25.41/16.76 (~v116(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15756, 1369, 16164])).
% 25.41/16.76 tff(16166,plain,
% 25.41/16.76 (~v123(constB140, bitIndex0)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15846, 577, 15915, 15797])).
% 25.41/16.76 tff(16167,plain,
% 25.41/16.76 (~v121(constB139, bitIndex0)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15839, 16166])).
% 25.41/16.76 tff(16168,plain,
% 25.41/16.76 (~v124(constB139, bitIndex0)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15834, 16167])).
% 25.41/16.76 tff(16169,assumption,(~v124(constB139, bitIndex0)), introduced(assumption)).
% 25.41/16.76 tff(16170,plain,
% 25.41/16.76 (~v172(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15922, 1636, 16169])).
% 25.41/16.76 tff(16171,plain,
% 25.41/16.76 (~v115(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15927, 1140, 16169])).
% 25.41/16.76 tff(16172,plain,
% 25.41/16.76 (v84(constB139, bitIndex2)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15894, 15877, 15879, 16171])).
% 25.41/16.76 tff(16173,plain,
% 25.41/16.76 (^[VarCurr: state_type] : refl(((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 25.41/16.76 inference(bind,[status(th)],[])).
% 25.41/16.76 tff(16174,plain,
% 25.41/16.76 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 25.41/16.76 inference(quant_intro,[status(thm)],[16173])).
% 25.41/16.76 tff(16175,plain,
% 25.41/16.76 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16176,axiom,(![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 25.41/16.76 tff(16177,plain,
% 25.41/16.76 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16176, 16175])).
% 25.41/16.76 tff(16178,plain,(
% 25.41/16.76 ![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 25.41/16.76 inference(skolemize,[status(sab)],[16177])).
% 25.41/16.76 tff(16179,plain,
% 25.41/16.76 (![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16178, 16174])).
% 25.41/16.76 tff(16180,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB139)) | (~v84(constB139, bitIndex2)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16181,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex2)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16182,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB139)) | (~v84(constB139, bitIndex2))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16181, 16180])).
% 25.41/16.76 tff(16183,plain,
% 25.41/16.76 (~v145(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16182, 16179, 16172])).
% 25.41/16.76 tff(16184,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB139)) | (~v84(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB139)) | (~v84(constB139, bitIndex2)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16185,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB139)) | (~v84(constB139, bitIndex2)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16186,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB139)) | (~v84(constB139, bitIndex2))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16185, 16184])).
% 25.41/16.76 tff(16187,plain,
% 25.41/16.76 (~v116(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16186, 1985, 16172])).
% 25.41/16.76 tff(16188,plain,
% 25.41/16.76 (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2))),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15905, 1454, 16170])).
% 25.41/16.76 tff(16189,plain,
% 25.41/16.76 (v84(constB139, bitIndex1)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16188, 15877, 16172])).
% 25.41/16.76 tff(16190,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB139)) | (~v84(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB139)) | (~v84(constB139, bitIndex1)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16191,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB139)) | (~v84(constB139, bitIndex1)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16192,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB139)) | (~v84(constB139, bitIndex1))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16191, 16190])).
% 25.41/16.76 tff(16193,plain,
% 25.41/16.76 (~v118(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16192, 2007, 16189])).
% 25.41/16.76 tff(16194,plain,
% 25.41/16.76 (v124(constB139, bitIndex0) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16004, 2152, 15879])).
% 25.41/16.76 tff(16195,plain,
% 25.41/16.76 ($false),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16194, 16193, 16187, 16169, 16171, 16183, 16170])).
% 25.41/16.76 tff(16196,plain,(v84(constB139, bitIndex0) | v124(constB139, bitIndex0) | v113(constB139)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.76 tff(16197,plain,
% 25.41/16.76 (v84(constB139, bitIndex0)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16196, 16168, 15998])).
% 25.41/16.76 tff(16198,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB139)) | (~v84(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB139)) | (~v84(constB139, bitIndex0)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16199,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB139)) | (~v84(constB139, bitIndex0)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16200,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB139)) | (~v84(constB139, bitIndex0))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16199, 16198])).
% 25.41/16.76 tff(16201,plain,
% 25.41/16.76 (~v172(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16200, 11816, 16197])).
% 25.41/16.76 tff(16202,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB139)) | (~v84(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB139)) | (~v84(constB139, bitIndex0)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16203,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB139)) | (~v84(constB139, bitIndex0)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16204,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB139)) | (~v84(constB139, bitIndex0))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16203, 16202])).
% 25.41/16.76 tff(16205,plain,
% 25.41/16.76 (~v115(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16204, 11805, 16197])).
% 25.41/16.76 tff(16206,plain,
% 25.41/16.76 (v118(constB139) | v145(constB139) | v116(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16004, 2152, 16168, 15998, 16205, 16201])).
% 25.41/16.76 tff(16207,plain,
% 25.41/16.76 (v118(constB139)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16206, 16165, 15924])).
% 25.41/16.76 tff(16208,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB141)) | v107(constB141))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB141)) | v107(constB141))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16209,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB141)) | v107(constB141))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16210,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB141)) | v107(constB141)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16209, 16208])).
% 25.41/16.76 tff(16211,plain,
% 25.41/16.76 (~v119(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16210, 1910, 16145])).
% 25.41/16.76 tff(16212,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)) | v119(constB141))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)) | v119(constB141))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16213,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)) | v119(constB141))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16214,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)) | v119(constB141)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16213, 16212])).
% 25.41/16.76 tff(16215,plain,
% 25.41/16.76 ((~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)) | v119(constB141)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16214, 1899, 15788])).
% 25.41/16.76 tff(16216,plain,
% 25.41/16.76 (~v84(constB141, bitIndex2)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16215, 16211, 16159])).
% 25.41/16.76 tff(16217,plain,
% 25.41/16.76 (~v84(constB140, bitIndex2)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15974, 16216])).
% 25.41/16.76 tff(16218,plain,
% 25.41/16.76 (~v123(constB140, bitIndex2)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15982, 16217])).
% 25.41/16.76 tff(16219,plain,
% 25.41/16.76 (~v121(constB139, bitIndex2)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15987, 16218])).
% 25.41/16.76 tff(16220,plain,
% 25.41/16.76 (~v124(constB139, bitIndex2)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[15992, 16219])).
% 25.41/16.76 tff(16221,plain,
% 25.41/16.76 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB139)) | v124(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB139)) | v124(constB139, bitIndex2))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16222,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB139)) | v124(constB139, bitIndex2))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16223,plain,
% 25.41/16.76 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB139)) | v124(constB139, bitIndex2)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 25.41/16.76 tff(16224,plain,
% 25.41/16.76 ($false),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16223, 1761, 16220, 16207])).
% 25.41/16.76 tff(16225,plain,(v94(constB142) | v84(constB141, bitIndex0) | v145(constB139)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.76 tff(16226,plain,
% 25.41/16.76 (v94(constB142)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16225, 15753, 15548])).
% 25.41/16.76 tff(16227,plain,
% 25.41/16.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16228,plain,
% 25.41/16.76 ((v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2))) <=> (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16229,plain,
% 25.41/16.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142))))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16228])).
% 25.41/16.76 tff(16230,plain,
% 25.41/16.76 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142)))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16229, 16227])).
% 25.41/16.76 tff(16231,plain,
% 25.41/16.76 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~v94(constB142)) | (~v123(constB142, bitIndex2)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16232,plain,
% 25.41/16.76 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)) | (~v94(constB142))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 25.41/16.76 tff(16233,plain,
% 25.41/16.76 (v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2))),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16232, 1317, 16226])).
% 25.41/16.76 tff(16234,plain,
% 25.41/16.76 (v84(constB142, bitIndex2)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16233, 16029])).
% 25.41/16.76 tff(16235,plain,
% 25.41/16.76 ((~v1(constB143)) <=> (~v1(constB143))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16236,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 25.41/16.76 tff(16237,plain,
% 25.41/16.76 (~v1(constB143)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16236, 16235])).
% 25.41/16.76 tff(16238,plain,
% 25.41/16.76 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16239,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 25.41/16.76 tff(16240,plain,
% 25.41/16.76 (nextState(constB142, constB143)),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16239, 16238])).
% 25.41/16.76 tff(16241,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16242,plain,
% 25.41/16.76 (((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16243,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))))),
% 25.41/16.76 inference(monotonicity,[status(thm)],[16242])).
% 25.41/16.76 tff(16244,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 25.41/16.76 inference(transitivity,[status(thm)],[16243, 16241])).
% 25.41/16.76 tff(16245,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16246,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16245, 16244])).
% 25.41/16.76 tff(16247,plain,
% 25.41/16.76 (~v95(constB143)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16246, 73, 16240, 16237])).
% 25.41/16.76 tff(16248,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16249,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 25.41/16.76 inference(quant_inst,[status(thm)],[])).
% 25.41/16.76 tff(16250,plain,
% 25.41/16.76 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143))),
% 25.41/16.76 inference(modus_ponens,[status(thm)],[16249, 16248])).
% 25.41/16.76 tff(16251,plain,
% 25.41/16.76 (v95(constB143) | (~v94(constB143))),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16250, 90, 16240])).
% 25.41/16.76 tff(16252,plain,
% 25.41/16.76 (~v94(constB143)),
% 25.41/16.76 inference(unit_resolution,[status(thm)],[16251, 16247])).
% 25.41/16.76 tff(16253,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16254,plain,
% 25.41/16.76 (((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2)) <=> ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 25.41/16.76 inference(rewrite,[status(thm)],[])).
% 25.41/16.76 tff(16255,plain,
% 25.41/16.76 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2)))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16254])).
% 25.41/16.77 tff(16256,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2))),
% 25.41/16.77 inference(transitivity,[status(thm)],[16255, 16253])).
% 25.41/16.77 tff(16257,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16258,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB142, bitIndex2)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex2)),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16257, 16256])).
% 25.41/16.77 tff(16259,plain,
% 25.41/16.77 ((~v84(constB142, bitIndex2)) | v94(constB143) | v84(constB143, bitIndex2)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16258, 1353, 16240])).
% 25.41/16.77 tff(16260,plain,
% 25.41/16.77 ((~v84(constB142, bitIndex2)) | v84(constB143, bitIndex2)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16259, 16252])).
% 25.41/16.77 tff(16261,plain,
% 25.41/16.77 (v84(constB143, bitIndex2)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16260, 16234])).
% 25.41/16.77 tff(16262,plain,
% 25.41/16.77 ($false),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16261, 8332])).
% 25.41/16.77 tff(16263,plain,((~(constB143 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.77 tff(16264,plain,
% 25.41/16.77 (~(constB143 = sK0_VarCurr)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16263, 5])).
% 25.41/16.77 tff(16265,assumption,(constB107 = sK0_VarCurr), introduced(assumption)).
% 25.41/16.77 tff(16266,plain,
% 25.41/16.77 (v84(constB107, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16265])).
% 25.41/16.77 tff(16267,plain,
% 25.41/16.77 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB107, bitIndex2)),
% 25.41/16.77 inference(symmetry,[status(thm)],[16266])).
% 25.41/16.77 tff(16268,plain,
% 25.41/16.77 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB107, bitIndex2))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16267])).
% 25.41/16.77 tff(16269,plain,
% 25.41/16.77 (~v84(constB107, bitIndex2)),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[5, 16268])).
% 25.41/16.77 tff(16270,plain,
% 25.41/16.77 ($false),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[12351, 16269])).
% 25.41/16.77 tff(16271,plain,((~(constB107 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.77 tff(16272,plain,
% 25.41/16.77 (~(constB107 = sK0_VarCurr)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16271, 5])).
% 25.41/16.77 tff(16273,assumption,(constB47 = sK0_VarCurr), introduced(assumption)).
% 25.41/16.77 tff(16274,plain,
% 25.41/16.77 (v84(constB47, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16273])).
% 25.41/16.77 tff(16275,plain,
% 25.41/16.77 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB47, bitIndex2)),
% 25.41/16.77 inference(symmetry,[status(thm)],[16274])).
% 25.41/16.77 tff(16276,plain,
% 25.41/16.77 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB47, bitIndex2))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16275])).
% 25.41/16.77 tff(16277,plain,
% 25.41/16.77 (~v84(constB47, bitIndex2)),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[5, 16276])).
% 25.41/16.77 tff(16278,plain,
% 25.41/16.77 ($false),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[5904, 16277])).
% 25.41/16.77 tff(16279,plain,((~(constB47 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.77 tff(16280,plain,
% 25.41/16.77 (~(constB47 = sK0_VarCurr)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16279, 5])).
% 25.41/16.77 tff(16281,assumption,(constB157 = sK0_VarCurr), introduced(assumption)).
% 25.41/16.77 tff(16282,plain,
% 25.41/16.77 (v84(constB157, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16281])).
% 25.41/16.77 tff(16283,plain,
% 25.41/16.77 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB157, bitIndex2)),
% 25.41/16.77 inference(symmetry,[status(thm)],[16282])).
% 25.41/16.77 tff(16284,plain,
% 25.41/16.77 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB157, bitIndex2))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16283])).
% 25.41/16.77 tff(16285,plain,
% 25.41/16.77 (~v84(constB157, bitIndex2)),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[5, 16284])).
% 25.41/16.77 tff(16286,plain,
% 25.41/16.77 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB141)) | v124(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB141)) | v124(constB141, bitIndex0))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16287,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB141)) | v124(constB141, bitIndex0))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16288,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB141)) | v124(constB141, bitIndex0)),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16287, 16286])).
% 25.41/16.77 tff(16289,plain,
% 25.41/16.77 (v124(constB141, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16288, 1636, 16008])).
% 25.41/16.77 tff(16290,plain,
% 25.41/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB141) | (~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB141) | (~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16291,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB141) | (~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16292,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB141) | (~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0)),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16291, 16290])).
% 25.41/16.77 tff(16293,plain,
% 25.41/16.77 ((~v124(constB141, bitIndex0)) | v121(constB141, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16292, 547, 16016])).
% 25.41/16.77 tff(16294,plain,
% 25.41/16.77 (v121(constB141, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16293, 16289])).
% 25.41/16.77 tff(16295,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16296,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB141, constB142)) | (~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16297,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB141, constB142)) | (~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0)),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16296, 16295])).
% 25.41/16.77 tff(16298,plain,
% 25.41/16.77 ((~v121(constB141, bitIndex0)) | v123(constB142, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16297, 562, 16024])).
% 25.41/16.77 tff(16299,plain,
% 25.41/16.77 (v123(constB142, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16298, 16294])).
% 25.41/16.77 tff(16300,plain,
% 25.41/16.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16301,plain,
% 25.41/16.77 ((v84(constB142, bitIndex0) | (~v94(constB142)) | (~v123(constB142, bitIndex0))) <=> (v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16302,plain,
% 25.41/16.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v94(constB142)) | (~v123(constB142, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142))))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16301])).
% 25.41/16.77 tff(16303,plain,
% 25.41/16.77 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v94(constB142)) | (~v123(constB142, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142)))),
% 25.41/16.77 inference(transitivity,[status(thm)],[16302, 16300])).
% 25.41/16.77 tff(16304,plain,
% 25.41/16.77 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~v94(constB142)) | (~v123(constB142, bitIndex0)))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16305,plain,
% 25.41/16.77 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)) | (~v94(constB142))),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16304, 16303])).
% 25.41/16.77 tff(16306,plain,
% 25.41/16.77 (v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0))),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16305, 577, 16226])).
% 25.41/16.77 tff(16307,plain,
% 25.41/16.77 (v84(constB142, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16306, 16299])).
% 25.41/16.77 tff(16308,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16309,plain,
% 25.41/16.77 (((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0)) <=> ((~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16310,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0)))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16309])).
% 25.41/16.77 tff(16311,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0))),
% 25.41/16.77 inference(transitivity,[status(thm)],[16310, 16308])).
% 25.41/16.77 tff(16312,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB142, constB143)) | (~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16313,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | (~nextState(constB142, constB143)) | v94(constB143) | v84(constB143, bitIndex0)),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16312, 16311])).
% 25.41/16.77 tff(16314,plain,
% 25.41/16.77 ((~v84(constB142, bitIndex0)) | v94(constB143) | v84(constB143, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16313, 595, 16240])).
% 25.41/16.77 tff(16315,plain,
% 25.41/16.77 ((~v84(constB142, bitIndex0)) | v84(constB143, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16314, 16252])).
% 25.41/16.77 tff(16316,plain,
% 25.41/16.77 (v84(constB143, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16315, 16307])).
% 25.41/16.77 tff(16317,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16318,plain,
% 25.41/16.77 (((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0))) <=> (v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16319,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0))))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16318])).
% 25.41/16.77 tff(16320,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 25.41/16.77 inference(transitivity,[status(thm)],[16319, 16317])).
% 25.41/16.77 tff(16321,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB138, constB139)) | v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0)))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16322,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB138, bitIndex0) | (~nextState(constB138, constB139)) | v94(constB139) | (~v84(constB139, bitIndex0))),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16321, 16320])).
% 25.41/16.77 tff(16323,plain,
% 25.41/16.77 (v84(constB138, bitIndex0) | v94(constB139) | (~v84(constB139, bitIndex0))),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16322, 147, 15523])).
% 25.41/16.77 tff(16324,plain,
% 25.41/16.77 (v84(constB138, bitIndex0) | (~v84(constB139, bitIndex0))),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16323, 15535])).
% 25.41/16.77 tff(16325,plain,
% 25.41/16.77 (v84(constB138, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16324, 16197])).
% 25.41/16.77 tff(16326,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v94(constB138) | (~v84(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v94(constB138) | (~v84(constB138, bitIndex0)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16327,plain,
% 25.41/16.77 (((~nextState(constB137, constB138)) | v84(constB137, bitIndex0) | v94(constB138) | (~v84(constB138, bitIndex0))) <=> (v84(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v94(constB138) | (~v84(constB138, bitIndex0)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16328,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v84(constB137, bitIndex0) | v94(constB138) | (~v84(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v94(constB138) | (~v84(constB138, bitIndex0))))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16327])).
% 25.41/16.77 tff(16329,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v84(constB137, bitIndex0) | v94(constB138) | (~v84(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v94(constB138) | (~v84(constB138, bitIndex0)))),
% 25.41/16.77 inference(transitivity,[status(thm)],[16328, 16326])).
% 25.41/16.77 tff(16330,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v84(constB137, bitIndex0) | v94(constB138) | (~v84(constB138, bitIndex0)))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16331,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB137, bitIndex0) | (~nextState(constB137, constB138)) | v94(constB138) | (~v84(constB138, bitIndex0))),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16330, 16329])).
% 25.41/16.77 tff(16332,plain,
% 25.41/16.77 (v84(constB137, bitIndex0) | v94(constB138) | (~v84(constB138, bitIndex0))),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16331, 147, 15461])).
% 25.41/16.77 tff(16333,plain,
% 25.41/16.77 (v94(constB138)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16332, 16325, 15410])).
% 25.41/16.77 tff(16334,plain,
% 25.41/16.77 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16335,plain,
% 25.41/16.77 (((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0)) <=> ((~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16336,plain,
% 25.41/16.77 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138))))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16335])).
% 25.41/16.77 tff(16337,plain,
% 25.41/16.77 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138)))),
% 25.41/16.77 inference(transitivity,[status(thm)],[16336, 16334])).
% 25.41/16.77 tff(16338,plain,
% 25.41/16.77 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB138, bitIndex0)) | (~v94(constB138)) | v123(constB138, bitIndex0))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16339,plain,
% 25.41/16.77 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0) | (~v94(constB138))),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16338, 16337])).
% 25.41/16.77 tff(16340,plain,
% 25.41/16.77 (v123(constB138, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16339, 923, 16333, 16325])).
% 25.41/16.77 tff(16341,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16342,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0)))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16343,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB137, constB138)) | v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0))),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16342, 16341])).
% 25.41/16.77 tff(16344,plain,
% 25.41/16.77 (v121(constB137, bitIndex0) | (~v123(constB138, bitIndex0))),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16343, 908, 15461])).
% 25.41/16.77 tff(16345,plain,
% 25.41/16.77 (v121(constB137, bitIndex0)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16344, 16340])).
% 25.41/16.77 tff(16346,plain,
% 25.41/16.77 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB137)) | (~v121(constB137, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB137)) | (~v121(constB137, bitIndex0)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16347,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB137)) | (~v121(constB137, bitIndex0)))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16348,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB137)) | (~v121(constB137, bitIndex0))),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16347, 16346])).
% 25.41/16.77 tff(16349,plain,
% 25.41/16.77 (~v26(constB137)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16348, 2385, 16345])).
% 25.41/16.77 tff(16350,plain,
% 25.41/16.77 (v121(constB137, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15503, 16349])).
% 25.41/16.77 tff(16351,plain,
% 25.41/16.77 (v123(constB138, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15508, 16350])).
% 25.41/16.77 tff(16352,plain,
% 25.41/16.77 (v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1))),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15515, 842, 16333])).
% 25.41/16.77 tff(16353,plain,
% 25.41/16.77 (v84(constB138, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16352, 16351])).
% 25.41/16.77 tff(16354,plain,
% 25.41/16.77 (v84(constB139, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15543, 16353])).
% 25.41/16.77 tff(16355,plain,
% 25.41/16.77 (~v145(constB139)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15547, 2018, 16354])).
% 25.41/16.77 tff(16356,plain,
% 25.41/16.77 (~v121(constB137, bitIndex2)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15560, 16349])).
% 25.41/16.77 tff(16357,plain,
% 25.41/16.77 (~v123(constB138, bitIndex2)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15570, 16356])).
% 25.41/16.77 tff(16358,plain,
% 25.41/16.77 ((~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15574, 423, 16333])).
% 25.41/16.77 tff(16359,plain,
% 25.41/16.77 (~v84(constB138, bitIndex2)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16358, 16357])).
% 25.41/16.77 tff(16360,plain,
% 25.41/16.77 (~v84(constB139, bitIndex2)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15584, 16359])).
% 25.41/16.77 tff(16361,plain,
% 25.41/16.77 ((~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15619, 1181, 16197])).
% 25.41/16.77 tff(16362,plain,
% 25.41/16.77 (v116(constB139)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16361, 16360, 16354])).
% 25.41/16.77 tff(16363,plain,
% 25.41/16.77 (~v124(constB139, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15756, 1369, 16362])).
% 25.41/16.77 tff(16364,plain,
% 25.41/16.77 (~v121(constB139, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15764, 16363])).
% 25.41/16.77 tff(16365,plain,
% 25.41/16.77 (~v123(constB140, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15769, 16364])).
% 25.41/16.77 tff(16366,plain,
% 25.41/16.77 (~v84(constB140, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16161, 16365])).
% 25.41/16.77 tff(16367,plain,
% 25.41/16.77 (~v84(constB141, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[15786, 16366])).
% 25.41/16.77 tff(16368,plain,
% 25.41/16.77 (v172(constB141)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16007, 16367, 15788, 16355])).
% 25.41/16.77 tff(16369,plain,
% 25.41/16.77 (v94(constB142)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16225, 16355, 15788])).
% 25.41/16.77 tff(16370,assumption,(v84(constB142, bitIndex1)), introduced(assumption)).
% 25.41/16.77 tff(16371,plain,
% 25.41/16.77 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16372,plain,
% 25.41/16.77 (((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1)) <=> ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16373,plain,
% 25.41/16.77 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142))))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16372])).
% 25.41/16.77 tff(16374,plain,
% 25.41/16.77 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142)))),
% 25.41/16.77 inference(transitivity,[status(thm)],[16373, 16371])).
% 25.41/16.77 tff(16375,plain,
% 25.41/16.77 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB142, bitIndex1)) | (~v94(constB142)) | v123(constB142, bitIndex1))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16376,plain,
% 25.41/16.77 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1) | (~v94(constB142))),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16375, 16374])).
% 25.41/16.77 tff(16377,plain,
% 25.41/16.77 (v123(constB142, bitIndex1) | (~v94(constB142))),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16376, 509, 16370])).
% 25.41/16.77 tff(16378,plain,
% 25.41/16.77 (v123(constB142, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16377, 16369])).
% 25.41/16.77 tff(16379,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16380,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1)))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16381,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1))),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16380, 16379])).
% 25.41/16.77 tff(16382,plain,
% 25.41/16.77 (v121(constB141, bitIndex1) | (~v123(constB142, bitIndex1))),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16381, 494, 16024])).
% 25.41/16.77 tff(16383,plain,
% 25.41/16.77 (v121(constB141, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16382, 16378])).
% 25.41/16.77 tff(16384,plain,
% 25.41/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16385,plain,
% 25.41/16.77 ((v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1))) <=> ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16386,plain,
% 25.41/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1)))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16385])).
% 25.41/16.77 tff(16387,plain,
% 25.41/16.77 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1))),
% 25.41/16.77 inference(transitivity,[status(thm)],[16386, 16384])).
% 25.41/16.77 tff(16388,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB141) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16389,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB141, bitIndex1)) | v26(constB141) | v124(constB141, bitIndex1)),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16388, 16387])).
% 25.41/16.77 tff(16390,plain,
% 25.41/16.77 ((~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16389, 476, 16016])).
% 25.41/16.77 tff(16391,plain,
% 25.41/16.77 (v124(constB141, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16390, 16383])).
% 25.41/16.77 tff(16392,plain,
% 25.41/16.77 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB141)) | (~v124(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB141)) | (~v124(constB141, bitIndex1)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16393,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB141)) | (~v124(constB141, bitIndex1)))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16394,plain,
% 25.41/16.77 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB141)) | (~v124(constB141, bitIndex1))),
% 25.41/16.77 inference(modus_ponens,[status(thm)],[16393, 16392])).
% 25.41/16.77 tff(16395,plain,
% 25.41/16.77 ($false),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16394, 1595, 16391, 16368])).
% 25.41/16.77 tff(16396,plain,(v84(constB141, bitIndex0) | (~v84(constB142, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 25.41/16.77 tff(16397,plain,
% 25.41/16.77 (~v84(constB142, bitIndex1)),
% 25.41/16.77 inference(unit_resolution,[status(thm)],[16396, 15753])).
% 25.41/16.77 tff(16398,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16399,plain,
% 25.41/16.77 (((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1))) <=> (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 25.41/16.77 inference(rewrite,[status(thm)],[])).
% 25.41/16.77 tff(16400,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1))))),
% 25.41/16.77 inference(monotonicity,[status(thm)],[16399])).
% 25.41/16.77 tff(16401,plain,
% 25.41/16.77 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 25.41/16.77 inference(transitivity,[status(thm)],[16400, 16398])).
% 25.41/16.77 tff(16402,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1)))),
% 25.41/16.77 inference(quant_inst,[status(thm)],[])).
% 25.41/16.77 tff(16403,plain,
% 25.41/16.77 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB142, bitIndex1) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex1))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 25.41/16.78 tff(16404,plain,
% 25.41/16.78 (v84(constB142, bitIndex1) | v94(constB143) | (~v84(constB143, bitIndex1))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16403, 126, 16240])).
% 25.41/16.78 tff(16405,plain,
% 25.41/16.78 (v84(constB142, bitIndex1) | (~v84(constB143, bitIndex1))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16404, 16252])).
% 25.41/16.78 tff(16406,plain,
% 25.41/16.78 (~v84(constB143, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16405, 16397])).
% 25.41/16.78 tff(16407,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16408,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16409,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16408, 16407])).
% 25.41/16.78 tff(16410,plain,
% 25.41/16.78 ((~v84(constB143, bitIndex0)) | (~v84(constB143, bitIndex2)) | v118(constB143)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16409, 1677, 16406])).
% 25.41/16.78 tff(16411,plain,
% 25.41/16.78 (v118(constB143)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16410, 16261, 16316])).
% 25.41/16.78 tff(16412,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB143)) | v108(constB143))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB143)) | v108(constB143))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16413,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB143)) | v108(constB143))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16414,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB143)) | v108(constB143)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16413, 16412])).
% 25.41/16.78 tff(16415,plain,
% 25.41/16.78 (v108(constB143)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16414, 1688, 16411])).
% 25.41/16.78 tff(16416,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB143) | (~v108(constB143)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB143) | (~v108(constB143)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16417,plain,
% 25.41/16.78 (((~v108(constB143)) | v107(constB143)) <=> (v107(constB143) | (~v108(constB143)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16418,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB143)) | v107(constB143))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB143) | (~v108(constB143))))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16417])).
% 25.41/16.78 tff(16419,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB143)) | v107(constB143))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB143) | (~v108(constB143)))),
% 25.41/16.78 inference(transitivity,[status(thm)],[16418, 16416])).
% 25.41/16.78 tff(16420,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB143)) | v107(constB143))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16421,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB143) | (~v108(constB143))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16420, 16419])).
% 25.41/16.78 tff(16422,plain,
% 25.41/16.78 (v107(constB143)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16421, 249, 16415])).
% 25.41/16.78 tff(16423,assumption,(v26(constB143)), introduced(assumption)).
% 25.41/16.78 tff(16424,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB143))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16425,plain,
% 25.41/16.78 ($false),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16424, 18, 16423])).
% 25.41/16.78 tff(16426,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.78 tff(16427,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16428,plain,
% 25.41/16.78 ((v26(constB143) | (~v107(constB143)) | v106(constB143)) <=> (v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16429,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143))))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16428])).
% 25.41/16.78 tff(16430,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 25.41/16.78 inference(transitivity,[status(thm)],[16429, 16427])).
% 25.41/16.78 tff(16431,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16432,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16431, 16430])).
% 25.41/16.78 tff(16433,plain,
% 25.41/16.78 (v106(constB143) | (~v107(constB143))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16432, 263, 16426])).
% 25.41/16.78 tff(16434,plain,
% 25.41/16.78 (v106(constB143)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16433, 16422])).
% 25.41/16.78 tff(16435,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB143) | (~v106(constB143)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB143) | (~v106(constB143)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16436,plain,
% 25.41/16.78 (((~v106(constB143)) | v102(constB143)) <=> (v102(constB143) | (~v106(constB143)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16437,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB143)) | v102(constB143))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB143) | (~v106(constB143))))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16436])).
% 25.41/16.78 tff(16438,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB143)) | v102(constB143))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB143) | (~v106(constB143)))),
% 25.41/16.78 inference(transitivity,[status(thm)],[16437, 16435])).
% 25.41/16.78 tff(16439,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB143)) | v102(constB143))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16440,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB143) | (~v106(constB143))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16439, 16438])).
% 25.41/16.78 tff(16441,plain,
% 25.41/16.78 (v102(constB143)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16440, 275, 16434])).
% 25.41/16.78 tff(16442,plain,
% 25.41/16.78 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16443,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 25.41/16.78 tff(16444,plain,
% 25.41/16.78 (nextState(constB143, constB144)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16443, 16442])).
% 25.41/16.78 tff(16445,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16446,plain,
% 25.41/16.78 (((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144)) <=> ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16447,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16446])).
% 25.41/16.78 tff(16448,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 25.41/16.78 inference(transitivity,[status(thm)],[16447, 16445])).
% 25.41/16.78 tff(16449,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16450,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16449, 16448])).
% 25.41/16.78 tff(16451,plain,
% 25.41/16.78 (v104(constB144) | (~v102(constB143))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16450, 295, 16444])).
% 25.41/16.78 tff(16452,plain,
% 25.41/16.78 (v104(constB144)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16451, 16441])).
% 25.41/16.78 tff(16453,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16454,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16455,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16454, 16453])).
% 25.41/16.78 tff(16456,plain,
% 25.41/16.78 (~v98(constB144)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16455, 313, 16444, 16237])).
% 25.41/16.78 tff(16457,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16458,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16459,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16458, 16457])).
% 25.41/16.78 tff(16460,plain,
% 25.41/16.78 (v96(constB144) | v98(constB144)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16459, 327, 16444])).
% 25.41/16.78 tff(16461,plain,
% 25.41/16.78 (v96(constB144)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16460, 16456])).
% 25.41/16.78 tff(16462,plain,
% 25.41/16.78 (v1(constB144) <=> v1(constB144)),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16463,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 25.41/16.78 tff(16464,plain,
% 25.41/16.78 (v1(constB144)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16463, 16462])).
% 25.41/16.78 tff(16465,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16466,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16467,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16466, 16465])).
% 25.41/16.78 tff(16468,plain,
% 25.41/16.78 (v95(constB144) | (~v96(constB144))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16467, 345, 16444, 16464])).
% 25.41/16.78 tff(16469,plain,
% 25.41/16.78 (v95(constB144)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16468, 16461])).
% 25.41/16.78 tff(16470,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16471,plain,
% 25.41/16.78 (((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144)) <=> ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16472,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144))))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16471])).
% 25.41/16.78 tff(16473,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144)))),
% 25.41/16.78 inference(transitivity,[status(thm)],[16472, 16470])).
% 25.41/16.78 tff(16474,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16475,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | v94(constB144) | (~v95(constB144)) | (~v104(constB144))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16474, 16473])).
% 25.41/16.78 tff(16476,plain,
% 25.41/16.78 (v94(constB144) | (~v95(constB144)) | (~v104(constB144))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16475, 360, 16444])).
% 25.41/16.78 tff(16477,plain,
% 25.41/16.78 (v94(constB144) | (~v104(constB144))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16476, 16469])).
% 25.41/16.78 tff(16478,plain,
% 25.41/16.78 (v94(constB144)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16477, 16452])).
% 25.41/16.78 tff(16479,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB143)) | v124(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB143)) | v124(constB143, bitIndex1))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16480,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB143)) | v124(constB143, bitIndex1))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16481,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB143)) | v124(constB143, bitIndex1)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16480, 16479])).
% 25.41/16.78 tff(16482,plain,
% 25.41/16.78 (v124(constB143, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16481, 1817, 16411])).
% 25.41/16.78 tff(16483,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16484,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16485,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB143) | (~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16484, 16483])).
% 25.41/16.78 tff(16486,plain,
% 25.41/16.78 ((~v124(constB143, bitIndex1)) | v121(constB143, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16485, 812, 16426])).
% 25.41/16.78 tff(16487,plain,
% 25.41/16.78 (v121(constB143, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16486, 16482])).
% 25.41/16.78 tff(16488,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16489,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16490,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16489, 16488])).
% 25.41/16.78 tff(16491,plain,
% 25.41/16.78 ((~v121(constB143, bitIndex1)) | v123(constB144, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16490, 827, 16444])).
% 25.41/16.78 tff(16492,plain,
% 25.41/16.78 (v123(constB144, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16491, 16487])).
% 25.41/16.78 tff(16493,plain,
% 25.41/16.78 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16494,plain,
% 25.41/16.78 ((v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1))) <=> (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16495,plain,
% 25.41/16.78 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144))))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16494])).
% 25.41/16.78 tff(16496,plain,
% 25.41/16.78 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144)))),
% 25.41/16.78 inference(transitivity,[status(thm)],[16495, 16493])).
% 25.41/16.78 tff(16497,plain,
% 25.41/16.78 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1)))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16498,plain,
% 25.41/16.78 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)) | (~v94(constB144))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16497, 16496])).
% 25.41/16.78 tff(16499,plain,
% 25.41/16.78 (v84(constB144, bitIndex1) | (~v94(constB144))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16498, 842, 16492])).
% 25.41/16.78 tff(16500,plain,
% 25.41/16.78 (v84(constB144, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16499, 16478])).
% 25.41/16.78 tff(16501,plain,
% 25.41/16.78 ((~v1(constB145)) <=> (~v1(constB145))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16502,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 25.41/16.78 tff(16503,plain,
% 25.41/16.78 (~v1(constB145)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16502, 16501])).
% 25.41/16.78 tff(16504,plain,
% 25.41/16.78 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16505,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 25.41/16.78 tff(16506,plain,
% 25.41/16.78 (nextState(constB144, constB145)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16505, 16504])).
% 25.41/16.78 tff(16507,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16508,plain,
% 25.41/16.78 (((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16509,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16508])).
% 25.41/16.78 tff(16510,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 25.41/16.78 inference(transitivity,[status(thm)],[16509, 16507])).
% 25.41/16.78 tff(16511,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16512,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16511, 16510])).
% 25.41/16.78 tff(16513,plain,
% 25.41/16.78 (~v95(constB145)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16512, 73, 16506, 16503])).
% 25.41/16.78 tff(16514,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16515,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16516,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16515, 16514])).
% 25.41/16.78 tff(16517,plain,
% 25.41/16.78 (v95(constB145) | (~v94(constB145))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16516, 90, 16506])).
% 25.41/16.78 tff(16518,plain,
% 25.41/16.78 (~v94(constB145)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16517, 16513])).
% 25.41/16.78 tff(16519,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16520,plain,
% 25.41/16.78 (((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1)) <=> ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16521,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1)))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16520])).
% 25.41/16.78 tff(16522,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1))),
% 25.41/16.78 inference(transitivity,[status(thm)],[16521, 16519])).
% 25.41/16.78 tff(16523,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16524,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex1)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16523, 16522])).
% 25.41/16.78 tff(16525,plain,
% 25.41/16.78 ((~v84(constB144, bitIndex1)) | v94(constB145) | v84(constB145, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16524, 860, 16506])).
% 25.41/16.78 tff(16526,plain,
% 25.41/16.78 ((~v84(constB144, bitIndex1)) | v84(constB145, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16525, 16518])).
% 25.41/16.78 tff(16527,plain,
% 25.41/16.78 (v84(constB145, bitIndex1)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16526, 16500])).
% 25.41/16.78 tff(16528,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16529,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16530,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16529, 16528])).
% 25.41/16.78 tff(16531,plain,
% 25.41/16.78 (~v113(constB145)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16530, 1996, 16527])).
% 25.41/16.78 tff(16532,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB145)) | (~v84(constB145, bitIndex1)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16533,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB145)) | (~v84(constB145, bitIndex1)))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16534,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB145)) | (~v84(constB145, bitIndex1))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16533, 16532])).
% 25.41/16.78 tff(16535,plain,
% 25.41/16.78 (~v118(constB145)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16534, 2007, 16527])).
% 25.41/16.78 tff(16536,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB145)) | (~v84(constB145, bitIndex1)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16537,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB145)) | (~v84(constB145, bitIndex1)))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16538,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB145)) | (~v84(constB145, bitIndex1))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16537, 16536])).
% 25.41/16.78 tff(16539,plain,
% 25.41/16.78 (~v172(constB145)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16538, 2029, 16527])).
% 25.41/16.78 tff(16540,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB143)) | v124(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB143)) | v124(constB143, bitIndex2))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16541,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB143)) | v124(constB143, bitIndex2))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16542,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB143)) | v124(constB143, bitIndex2)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16541, 16540])).
% 25.41/16.78 tff(16543,plain,
% 25.41/16.78 (v124(constB143, bitIndex2)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16542, 1761, 16411])).
% 25.41/16.78 tff(16544,plain,
% 25.41/16.78 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16545,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16546,plain,
% 25.41/16.78 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB143) | (~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16545, 16544])).
% 25.41/16.78 tff(16547,plain,
% 25.41/16.78 ((~v124(constB143, bitIndex2)) | v121(constB143, bitIndex2)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16546, 1287, 16426])).
% 25.41/16.78 tff(16548,plain,
% 25.41/16.78 (v121(constB143, bitIndex2)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16547, 16543])).
% 25.41/16.78 tff(16549,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16550,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16551,plain,
% 25.41/16.78 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB143, constB144)) | (~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2)),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16550, 16549])).
% 25.41/16.78 tff(16552,plain,
% 25.41/16.78 ((~v121(constB143, bitIndex2)) | v123(constB144, bitIndex2)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16551, 1302, 16444])).
% 25.41/16.78 tff(16553,plain,
% 25.41/16.78 (v123(constB144, bitIndex2)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16552, 16548])).
% 25.41/16.78 tff(16554,plain,
% 25.41/16.78 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16555,plain,
% 25.41/16.78 ((v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2))) <=> (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16556,plain,
% 25.41/16.78 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144))))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16555])).
% 25.41/16.78 tff(16557,plain,
% 25.41/16.78 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144)))),
% 25.41/16.78 inference(transitivity,[status(thm)],[16556, 16554])).
% 25.41/16.78 tff(16558,plain,
% 25.41/16.78 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~v94(constB144)) | (~v123(constB144, bitIndex2)))),
% 25.41/16.78 inference(quant_inst,[status(thm)],[])).
% 25.41/16.78 tff(16559,plain,
% 25.41/16.78 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)) | (~v94(constB144))),
% 25.41/16.78 inference(modus_ponens,[status(thm)],[16558, 16557])).
% 25.41/16.78 tff(16560,plain,
% 25.41/16.78 (v84(constB144, bitIndex2) | (~v94(constB144))),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16559, 1317, 16553])).
% 25.41/16.78 tff(16561,plain,
% 25.41/16.78 (v84(constB144, bitIndex2)),
% 25.41/16.78 inference(unit_resolution,[status(thm)],[16560, 16478])).
% 25.41/16.78 tff(16562,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16563,plain,
% 25.41/16.78 (((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2)) <=> ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 25.41/16.78 inference(rewrite,[status(thm)],[])).
% 25.41/16.78 tff(16564,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2)))),
% 25.41/16.78 inference(monotonicity,[status(thm)],[16563])).
% 25.41/16.78 tff(16565,plain,
% 25.41/16.78 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2))),
% 25.41/16.79 inference(transitivity,[status(thm)],[16564, 16562])).
% 25.41/16.79 tff(16566,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB144, constB145)) | (~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16567,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB144, bitIndex2)) | (~nextState(constB144, constB145)) | v94(constB145) | v84(constB145, bitIndex2)),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16566, 16565])).
% 25.41/16.79 tff(16568,plain,
% 25.41/16.79 ((~v84(constB144, bitIndex2)) | v94(constB145) | v84(constB145, bitIndex2)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16567, 1353, 16506])).
% 25.41/16.79 tff(16569,plain,
% 25.41/16.79 ((~v84(constB144, bitIndex2)) | v84(constB145, bitIndex2)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16568, 16518])).
% 25.41/16.79 tff(16570,plain,
% 25.41/16.79 (v84(constB145, bitIndex2)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16569, 16561])).
% 25.41/16.79 tff(16571,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB145)) | (~v84(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB145)) | (~v84(constB145, bitIndex2)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16572,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB145)) | (~v84(constB145, bitIndex2)))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16573,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB145)) | (~v84(constB145, bitIndex2))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16572, 16571])).
% 25.41/16.79 tff(16574,plain,
% 25.41/16.79 (~v116(constB145)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16573, 1985, 16570])).
% 25.41/16.79 tff(16575,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB145)) | (~v84(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB145)) | (~v84(constB145, bitIndex2)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16576,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB145)) | (~v84(constB145, bitIndex2)))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16577,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB145)) | (~v84(constB145, bitIndex2))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16576, 16575])).
% 25.41/16.79 tff(16578,plain,
% 25.41/16.79 (~v115(constB145)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16577, 1974, 16570])).
% 25.41/16.79 tff(16579,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB145)) | (~v84(constB145, bitIndex1)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16580,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB145)) | (~v84(constB145, bitIndex1)))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16581,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB145)) | (~v84(constB145, bitIndex1))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 25.41/16.79 tff(16582,plain,
% 25.41/16.79 (~v145(constB145)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16581, 2018, 16527])).
% 25.41/16.79 tff(16583,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16584,plain,
% 25.41/16.79 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2))) <=> (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16585,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2))))),
% 25.41/16.79 inference(monotonicity,[status(thm)],[16584])).
% 25.41/16.79 tff(16586,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 25.41/16.79 inference(transitivity,[status(thm)],[16585, 16583])).
% 25.41/16.79 tff(16587,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex2)))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16588,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex2))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16587, 16586])).
% 25.41/16.79 tff(16589,plain,
% 25.41/16.79 (~v124(constB145, bitIndex2)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16588, 2043, 16582, 16578, 16574, 16539, 16535, 16531])).
% 25.41/16.79 tff(16590,assumption,(v26(constB145)), introduced(assumption)).
% 25.41/16.79 tff(16591,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB145))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16592,plain,
% 25.41/16.79 ($false),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16591, 18, 16590])).
% 25.41/16.79 tff(16593,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 25.41/16.79 tff(16594,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16595,plain,
% 25.41/16.79 ((v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2))) <=> ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16596,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2)))),
% 25.41/16.79 inference(monotonicity,[status(thm)],[16595])).
% 25.41/16.79 tff(16597,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2))),
% 25.41/16.79 inference(transitivity,[status(thm)],[16596, 16594])).
% 25.41/16.79 tff(16598,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB145) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16599,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB145, bitIndex2)) | v26(constB145) | v124(constB145, bitIndex2)),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16598, 16597])).
% 25.41/16.79 tff(16600,plain,
% 25.41/16.79 ((~v121(constB145, bitIndex2)) | v124(constB145, bitIndex2)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16599, 390, 16593])).
% 25.41/16.79 tff(16601,plain,
% 25.41/16.79 (~v121(constB145, bitIndex2)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16600, 16589])).
% 25.41/16.79 tff(16602,plain,
% 25.41/16.79 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16603,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 25.41/16.79 tff(16604,plain,
% 25.41/16.79 (nextState(constB145, constB146)),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 25.41/16.79 tff(16605,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16606,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2)))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16607,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16606, 16605])).
% 25.41/16.79 tff(16608,plain,
% 25.41/16.79 (v121(constB145, bitIndex2) | (~v123(constB146, bitIndex2))),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16607, 408, 16604])).
% 25.41/16.79 tff(16609,plain,
% 25.41/16.79 (~v123(constB146, bitIndex2)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16608, 16601])).
% 25.41/16.79 tff(16610,assumption,(~v94(constB146)), introduced(assumption)).
% 25.41/16.79 tff(16611,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16612,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16613,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16612, 16611])).
% 25.41/16.79 tff(16614,plain,
% 25.41/16.79 (~v98(constB146)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16613, 313, 16604, 16503])).
% 25.41/16.79 tff(16615,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16616,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16617,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146)),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16616, 16615])).
% 25.41/16.79 tff(16618,plain,
% 25.41/16.79 (v96(constB146) | v98(constB146)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16617, 327, 16604])).
% 25.41/16.79 tff(16619,plain,
% 25.41/16.79 (v96(constB146)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16618, 16614])).
% 25.41/16.79 tff(16620,plain,
% 25.41/16.79 (v1(constB146) <=> v1(constB146)),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16621,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 25.41/16.79 tff(16622,plain,
% 25.41/16.79 (v1(constB146)),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16621, 16620])).
% 25.41/16.79 tff(16623,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16624,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16625,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16624, 16623])).
% 25.41/16.79 tff(16626,plain,
% 25.41/16.79 (v95(constB146) | (~v96(constB146))),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16625, 345, 16604, 16622])).
% 25.41/16.79 tff(16627,plain,
% 25.41/16.79 (v95(constB146)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16626, 16619])).
% 25.41/16.79 tff(16628,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16629,plain,
% 25.41/16.79 (((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146)) <=> ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16630,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146))))),
% 25.41/16.79 inference(monotonicity,[status(thm)],[16629])).
% 25.41/16.79 tff(16631,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146)))),
% 25.41/16.79 inference(transitivity,[status(thm)],[16630, 16628])).
% 25.41/16.79 tff(16632,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16633,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | v94(constB146) | (~v95(constB146)) | (~v104(constB146))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16632, 16631])).
% 25.41/16.79 tff(16634,plain,
% 25.41/16.79 (v94(constB146) | (~v95(constB146)) | (~v104(constB146))),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16633, 360, 16604])).
% 25.41/16.79 tff(16635,plain,
% 25.41/16.79 (v94(constB146) | (~v104(constB146))),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16634, 16627])).
% 25.41/16.79 tff(16636,plain,
% 25.41/16.79 (~v104(constB146)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16635, 16610])).
% 25.41/16.79 tff(16637,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16638,plain,
% 25.41/16.79 (((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146)) <=> ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16639,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))))),
% 25.41/16.79 inference(monotonicity,[status(thm)],[16638])).
% 25.41/16.79 tff(16640,plain,
% 25.41/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 25.41/16.79 inference(transitivity,[status(thm)],[16639, 16637])).
% 25.41/16.79 tff(16641,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16642,plain,
% 25.41/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16641, 16640])).
% 25.41/16.79 tff(16643,plain,
% 25.41/16.79 (v104(constB146) | (~v102(constB145))),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16642, 295, 16604])).
% 25.41/16.79 tff(16644,plain,
% 25.41/16.79 (~v102(constB145)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16643, 16636])).
% 25.41/16.79 tff(16645,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB145) | (~v106(constB145)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB145) | (~v106(constB145)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16646,plain,
% 25.41/16.79 (((~v106(constB145)) | v102(constB145)) <=> (v102(constB145) | (~v106(constB145)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16647,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB145)) | v102(constB145))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB145) | (~v106(constB145))))),
% 25.41/16.79 inference(monotonicity,[status(thm)],[16646])).
% 25.41/16.79 tff(16648,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB145)) | v102(constB145))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB145) | (~v106(constB145)))),
% 25.41/16.79 inference(transitivity,[status(thm)],[16647, 16645])).
% 25.41/16.79 tff(16649,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB145)) | v102(constB145))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16650,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB145) | (~v106(constB145))),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16649, 16648])).
% 25.41/16.79 tff(16651,plain,
% 25.41/16.79 (~v106(constB145)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16650, 275, 16644])).
% 25.41/16.79 tff(16652,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | (~v107(constB145)) | v106(constB145))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16653,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))),
% 25.41/16.79 inference(quant_inst,[status(thm)],[])).
% 25.41/16.79 tff(16654,plain,
% 25.41/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | (~v107(constB145)) | v106(constB145)),
% 25.41/16.79 inference(modus_ponens,[status(thm)],[16653, 16652])).
% 25.41/16.79 tff(16655,plain,
% 25.41/16.79 ((~v107(constB145)) | v106(constB145)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16654, 263, 16593])).
% 25.41/16.79 tff(16656,plain,
% 25.41/16.79 (~v107(constB145)),
% 25.41/16.79 inference(unit_resolution,[status(thm)],[16655, 16651])).
% 25.41/16.79 tff(16657,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB145) | (~v108(constB145)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB145) | (~v108(constB145)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16658,plain,
% 25.41/16.79 (((~v108(constB145)) | v107(constB145)) <=> (v107(constB145) | (~v108(constB145)))),
% 25.41/16.79 inference(rewrite,[status(thm)],[])).
% 25.41/16.79 tff(16659,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB145)) | v107(constB145))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB145) | (~v108(constB145))))),
% 25.41/16.79 inference(monotonicity,[status(thm)],[16658])).
% 25.41/16.79 tff(16660,plain,
% 25.41/16.79 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB145)) | v107(constB145))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB145) | (~v108(constB145)))),
% 25.48/16.79 inference(transitivity,[status(thm)],[16659, 16657])).
% 25.48/16.79 tff(16661,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB145)) | v107(constB145))),
% 25.48/16.79 inference(quant_inst,[status(thm)],[])).
% 25.48/16.79 tff(16662,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB145) | (~v108(constB145))),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16661, 16660])).
% 25.48/16.79 tff(16663,plain,
% 25.48/16.79 (~v108(constB145)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16662, 249, 16656])).
% 25.48/16.79 tff(16664,plain,
% 25.48/16.79 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB145)) | v108(constB145))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16665,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB145)) | v108(constB145))),
% 25.48/16.79 inference(quant_inst,[status(thm)],[])).
% 25.48/16.79 tff(16666,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB145)) | v108(constB145)),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16665, 16664])).
% 25.48/16.79 tff(16667,plain,
% 25.48/16.79 (~v109(constB145)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16666, 235, 16663])).
% 25.48/16.79 tff(16668,plain,
% 25.48/16.79 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB145) | (~v110(constB145)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB145) | (~v110(constB145)))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16669,plain,
% 25.48/16.79 (((~v110(constB145)) | v109(constB145)) <=> (v109(constB145) | (~v110(constB145)))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16670,plain,
% 25.48/16.79 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB145)) | v109(constB145))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB145) | (~v110(constB145))))),
% 25.48/16.79 inference(monotonicity,[status(thm)],[16669])).
% 25.48/16.79 tff(16671,plain,
% 25.48/16.79 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB145)) | v109(constB145))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB145) | (~v110(constB145)))),
% 25.48/16.79 inference(transitivity,[status(thm)],[16670, 16668])).
% 25.48/16.79 tff(16672,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB145)) | v109(constB145))),
% 25.48/16.79 inference(quant_inst,[status(thm)],[])).
% 25.48/16.79 tff(16673,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB145) | (~v110(constB145))),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16672, 16671])).
% 25.48/16.79 tff(16674,plain,
% 25.48/16.79 (~v110(constB145)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16673, 221, 16667])).
% 25.48/16.79 tff(16675,plain,
% 25.48/16.79 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB145)) | v110(constB145))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB145)) | v110(constB145))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16676,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB145)) | v110(constB145))),
% 25.48/16.79 inference(quant_inst,[status(thm)],[])).
% 25.48/16.79 tff(16677,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB145)) | v110(constB145)),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16676, 16675])).
% 25.48/16.79 tff(16678,plain,
% 25.48/16.79 (~v116(constB145)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16677, 1192, 16674])).
% 25.48/16.79 tff(16679,assumption,(~v84(constB146, bitIndex1)), introduced(assumption)).
% 25.48/16.79 tff(16680,plain,
% 25.48/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16681,plain,
% 25.48/16.79 (((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1)) <=> ((~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16682,plain,
% 25.48/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1)))),
% 25.48/16.79 inference(monotonicity,[status(thm)],[16681])).
% 25.48/16.79 tff(16683,plain,
% 25.48/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1))),
% 25.48/16.79 inference(transitivity,[status(thm)],[16682, 16680])).
% 25.48/16.79 tff(16684,plain,
% 25.48/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1))),
% 25.48/16.79 inference(quant_inst,[status(thm)],[])).
% 25.48/16.79 tff(16685,plain,
% 25.48/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB145, bitIndex1)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex1)),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16684, 16683])).
% 25.48/16.79 tff(16686,plain,
% 25.48/16.79 ((~v84(constB145, bitIndex1)) | v94(constB146) | v84(constB146, bitIndex1)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16685, 860, 16604])).
% 25.48/16.79 tff(16687,plain,
% 25.48/16.79 (~v84(constB145, bitIndex1)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16686, 16679, 16610])).
% 25.48/16.79 tff(16688,assumption,(~v84(constB146, bitIndex2)), introduced(assumption)).
% 25.48/16.79 tff(16689,plain,
% 25.48/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16690,plain,
% 25.48/16.79 (((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2)) <=> ((~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16691,plain,
% 25.48/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2)))),
% 25.48/16.79 inference(monotonicity,[status(thm)],[16690])).
% 25.48/16.79 tff(16692,plain,
% 25.48/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2))),
% 25.48/16.79 inference(transitivity,[status(thm)],[16691, 16689])).
% 25.48/16.79 tff(16693,plain,
% 25.48/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2))),
% 25.48/16.79 inference(quant_inst,[status(thm)],[])).
% 25.48/16.79 tff(16694,plain,
% 25.48/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB145, bitIndex2)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex2)),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16693, 16692])).
% 25.48/16.79 tff(16695,plain,
% 25.48/16.79 ((~v84(constB145, bitIndex2)) | v94(constB146) | v84(constB146, bitIndex2)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16694, 1353, 16604])).
% 25.48/16.79 tff(16696,plain,
% 25.48/16.79 (~v84(constB145, bitIndex2)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16695, 16688, 16610])).
% 25.48/16.79 tff(16697,assumption,(~v106(constB145)), introduced(assumption)).
% 25.48/16.79 tff(16698,plain,
% 25.48/16.79 (^[VarCurr: state_type] : refl((v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))))),
% 25.48/16.79 inference(bind,[status(th)],[])).
% 25.48/16.79 tff(16699,plain,
% 25.48/16.79 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 25.48/16.79 inference(quant_intro,[status(thm)],[16698])).
% 25.48/16.79 tff(16700,plain,
% 25.48/16.79 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> ![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16701,plain,
% 25.48/16.79 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v102(VarCurr)) | v26(VarCurr)) <=> (v26(VarCurr) | (~v102(VarCurr)))), ((((~v102(VarCurr)) | v26(VarCurr)) | v106(VarCurr)) <=> ((v26(VarCurr) | (~v102(VarCurr))) | v106(VarCurr)))), rewrite(((v26(VarCurr) | (~v102(VarCurr))) | v106(VarCurr)) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))), ((((~v102(VarCurr)) | v26(VarCurr)) | v106(VarCurr)) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))))),
% 25.48/16.79 inference(bind,[status(th)],[])).
% 25.48/16.79 tff(16702,plain,
% 25.48/16.79 (![VarCurr: state_type] : (((~v102(VarCurr)) | v26(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 25.48/16.79 inference(quant_intro,[status(thm)],[16701])).
% 25.48/16.79 tff(16703,axiom,(![VarCurr: state_type] : (((~v102(VarCurr)) | v26(VarCurr)) | v106(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_26_1_1_3')).
% 25.48/16.79 tff(16704,plain,
% 25.48/16.79 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16703, 16702])).
% 25.48/16.79 tff(16705,plain,
% 25.48/16.79 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16704, 16700])).
% 25.48/16.79 tff(16706,plain,(
% 25.48/16.79 ![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 25.48/16.79 inference(skolemize,[status(sab)],[16705])).
% 25.48/16.79 tff(16707,plain,
% 25.48/16.79 (![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16706, 16699])).
% 25.48/16.79 tff(16708,plain,
% 25.48/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB145)) | v26(constB145) | v106(constB145))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB145)) | v26(constB145) | v106(constB145))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16709,plain,
% 25.48/16.79 ((v26(constB145) | v106(constB145) | (~v102(constB145))) <=> ((~v102(constB145)) | v26(constB145) | v106(constB145))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16710,plain,
% 25.48/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB145) | v106(constB145) | (~v102(constB145)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB145)) | v26(constB145) | v106(constB145)))),
% 25.48/16.79 inference(monotonicity,[status(thm)],[16709])).
% 25.48/16.79 tff(16711,plain,
% 25.48/16.79 (((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB145) | v106(constB145) | (~v102(constB145)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB145)) | v26(constB145) | v106(constB145))),
% 25.48/16.79 inference(transitivity,[status(thm)],[16710, 16708])).
% 25.48/16.79 tff(16712,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB145) | v106(constB145) | (~v102(constB145)))),
% 25.48/16.79 inference(quant_inst,[status(thm)],[])).
% 25.48/16.79 tff(16713,plain,
% 25.48/16.79 ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB145)) | v26(constB145) | v106(constB145)),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16712, 16711])).
% 25.48/16.79 tff(16714,plain,
% 25.48/16.79 ((~v102(constB145)) | v106(constB145)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16713, 16707, 16593])).
% 25.48/16.79 tff(16715,plain,
% 25.48/16.79 (~v102(constB145)),
% 25.48/16.79 inference(unit_resolution,[status(thm)],[16714, 16697])).
% 25.48/16.79 tff(16716,plain,
% 25.48/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16717,plain,
% 25.48/16.79 (((~nextState(constB145, constB146)) | v102(constB145) | (~v104(constB146))) <=> ((~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145))),
% 25.48/16.79 inference(rewrite,[status(thm)],[])).
% 25.48/16.79 tff(16718,plain,
% 25.48/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | v102(constB145) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145)))),
% 25.48/16.79 inference(monotonicity,[status(thm)],[16717])).
% 25.48/16.79 tff(16719,plain,
% 25.48/16.79 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | v102(constB145) | (~v104(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145))),
% 25.48/16.79 inference(transitivity,[status(thm)],[16718, 16716])).
% 25.48/16.79 tff(16720,plain,
% 25.48/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | v102(constB145) | (~v104(constB146)))),
% 25.48/16.79 inference(quant_inst,[status(thm)],[])).
% 25.48/16.79 tff(16721,plain,
% 25.48/16.79 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145)),
% 25.48/16.79 inference(modus_ponens,[status(thm)],[16720, 16719])).
% 25.48/16.79 tff(16722,plain,
% 25.48/16.79 ((~v104(constB146)) | v102(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16721, 2869, 16604])).
% 25.48/16.80 tff(16723,plain,
% 25.48/16.80 (~v104(constB146)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16722, 16715])).
% 25.48/16.80 tff(16724,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v94(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v94(constB146)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16725,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v94(constB146)))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16726,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v94(constB146))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16725, 16724])).
% 25.48/16.80 tff(16727,plain,
% 25.48/16.80 (v104(constB146) | (~v94(constB146))),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16726, 2887, 16604])).
% 25.48/16.80 tff(16728,plain,
% 25.48/16.80 (~v94(constB146)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16727, 16723])).
% 25.48/16.80 tff(16729,plain,
% 25.48/16.80 (~v84(constB145, bitIndex2)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16695, 16728, 16688])).
% 25.48/16.80 tff(16730,plain,
% 25.48/16.80 (~v84(constB145, bitIndex1)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16686, 16728, 16679])).
% 25.48/16.80 tff(16731,assumption,(v84(constB146, bitIndex0)), introduced(assumption)).
% 25.48/16.80 tff(16732,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex0)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16733,plain,
% 25.48/16.80 (((~nextState(constB145, constB146)) | v84(constB145, bitIndex0) | v94(constB146) | (~v84(constB146, bitIndex0))) <=> (v84(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex0)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16734,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v84(constB145, bitIndex0) | v94(constB146) | (~v84(constB146, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex0))))),
% 25.48/16.80 inference(monotonicity,[status(thm)],[16733])).
% 25.48/16.80 tff(16735,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v84(constB145, bitIndex0) | v94(constB146) | (~v84(constB146, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex0)))),
% 25.48/16.80 inference(transitivity,[status(thm)],[16734, 16732])).
% 25.48/16.80 tff(16736,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v84(constB145, bitIndex0) | v94(constB146) | (~v84(constB146, bitIndex0)))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16737,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB145, bitIndex0) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex0))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16736, 16735])).
% 25.48/16.80 tff(16738,plain,
% 25.48/16.80 (v84(constB145, bitIndex0) | v94(constB146) | (~v84(constB146, bitIndex0))),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16737, 147, 16604])).
% 25.48/16.80 tff(16739,plain,
% 25.48/16.80 (v84(constB145, bitIndex0)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16738, 16728, 16731])).
% 25.48/16.80 tff(16740,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v145(constB145))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v145(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16741,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v145(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16742,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v145(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16741, 16740])).
% 25.48/16.80 tff(16743,plain,
% 25.48/16.80 (v145(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16742, 614, 16739, 16730, 16729])).
% 25.48/16.80 tff(16744,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB145) | (~v145(constB145)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB145) | (~v145(constB145)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16745,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB145) | (~v145(constB145)))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16746,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB145) | (~v145(constB145))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16745, 16744])).
% 25.48/16.80 tff(16747,plain,
% 25.48/16.80 (v112(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16746, 677, 16743])).
% 25.48/16.80 tff(16748,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB145)) | v111(constB145))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB145)) | v111(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16749,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB145)) | v111(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16750,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB145)) | v111(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16749, 16748])).
% 25.48/16.80 tff(16751,plain,
% 25.48/16.80 (v111(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16750, 193, 16747])).
% 25.48/16.80 tff(16752,plain,
% 25.48/16.80 (~v107(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16655, 16697])).
% 25.48/16.80 tff(16753,plain,
% 25.48/16.80 (~v108(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16662, 249, 16752])).
% 25.48/16.80 tff(16754,plain,
% 25.48/16.80 (~v109(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16666, 235, 16753])).
% 25.48/16.80 tff(16755,plain,
% 25.48/16.80 (~v110(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16673, 221, 16754])).
% 25.48/16.80 tff(16756,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB145)) | v110(constB145))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB145)) | v110(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16757,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB145)) | v110(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16758,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB145)) | v110(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16757, 16756])).
% 25.48/16.80 tff(16759,plain,
% 25.48/16.80 ($false),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16758, 207, 16755, 16751])).
% 25.48/16.80 tff(16760,plain,(v106(constB145) | v84(constB146, bitIndex2) | v84(constB146, bitIndex1) | (~v84(constB146, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.48/16.80 tff(16761,plain,
% 25.48/16.80 (~v84(constB146, bitIndex0)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16760, 16688, 16651, 16679])).
% 25.48/16.80 tff(16762,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16763,plain,
% 25.48/16.80 (((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0)) <=> ((~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16764,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0)))),
% 25.48/16.80 inference(monotonicity,[status(thm)],[16763])).
% 25.48/16.80 tff(16765,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0))),
% 25.48/16.80 inference(transitivity,[status(thm)],[16764, 16762])).
% 25.48/16.80 tff(16766,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16767,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB145, bitIndex0)) | (~nextState(constB145, constB146)) | v94(constB146) | v84(constB146, bitIndex0)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16766, 16765])).
% 25.48/16.80 tff(16768,plain,
% 25.48/16.80 ((~v84(constB145, bitIndex0)) | v94(constB146) | v84(constB146, bitIndex0)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16767, 595, 16604])).
% 25.48/16.80 tff(16769,plain,
% 25.48/16.80 (~v84(constB145, bitIndex0)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16768, 16761, 16610])).
% 25.48/16.80 tff(16770,plain,
% 25.48/16.80 (~v111(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16758, 207, 16674])).
% 25.48/16.80 tff(16771,plain,
% 25.48/16.80 (~v112(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16750, 193, 16770])).
% 25.48/16.80 tff(16772,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB145)) | v112(constB145))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB145)) | v112(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16773,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB145)) | v112(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16774,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB145)) | v112(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16773, 16772])).
% 25.48/16.80 tff(16775,plain,
% 25.48/16.80 (~v113(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16774, 182, 16771])).
% 25.48/16.80 tff(16776,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v113(constB145))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v113(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16777,plain,
% 25.48/16.80 ((v84(constB145, bitIndex0) | v113(constB145) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2)) <=> (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v113(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16778,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB145, bitIndex0) | v113(constB145) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v113(constB145)))),
% 25.48/16.80 inference(monotonicity,[status(thm)],[16777])).
% 25.48/16.80 tff(16779,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB145, bitIndex0) | v113(constB145) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v113(constB145))),
% 25.48/16.80 inference(transitivity,[status(thm)],[16778, 16776])).
% 25.48/16.80 tff(16780,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB145, bitIndex0) | v113(constB145) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16781,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v113(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16780, 16779])).
% 25.48/16.80 tff(16782,plain,
% 25.48/16.80 (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16781, 168, 16775])).
% 25.48/16.80 tff(16783,plain,
% 25.48/16.80 ($false),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16782, 16769, 16696, 16687])).
% 25.48/16.80 tff(16784,plain,(v84(constB146, bitIndex2) | v94(constB146) | v84(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.48/16.80 tff(16785,plain,
% 25.48/16.80 (v84(constB146, bitIndex2)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16784, 16679, 16610])).
% 25.48/16.80 tff(16786,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex2)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16787,plain,
% 25.48/16.80 (((~nextState(constB145, constB146)) | v84(constB145, bitIndex2) | v94(constB146) | (~v84(constB146, bitIndex2))) <=> (v84(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex2)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16788,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v84(constB145, bitIndex2) | v94(constB146) | (~v84(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex2))))),
% 25.48/16.80 inference(monotonicity,[status(thm)],[16787])).
% 25.48/16.80 tff(16789,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v84(constB145, bitIndex2) | v94(constB146) | (~v84(constB146, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex2)))),
% 25.48/16.80 inference(transitivity,[status(thm)],[16788, 16786])).
% 25.48/16.80 tff(16790,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB145, constB146)) | v84(constB145, bitIndex2) | v94(constB146) | (~v84(constB146, bitIndex2)))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16791,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB145, bitIndex2) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex2))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16790, 16789])).
% 25.48/16.80 tff(16792,plain,
% 25.48/16.80 (v84(constB145, bitIndex2) | v94(constB146) | (~v84(constB146, bitIndex2))),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16791, 105, 16604])).
% 25.48/16.80 tff(16793,plain,
% 25.48/16.80 (v84(constB145, bitIndex2)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16792, 16785, 16610])).
% 25.48/16.80 tff(16794,assumption,(~v107(constB145)), introduced(assumption)).
% 25.48/16.80 tff(16795,plain,
% 25.48/16.80 (~v108(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16662, 249, 16794])).
% 25.48/16.80 tff(16796,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB145)) | v108(constB145))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB145)) | v108(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16797,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB145)) | v108(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16798,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB145)) | v108(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16797, 16796])).
% 25.48/16.80 tff(16799,plain,
% 25.48/16.80 (~v118(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16798, 1688, 16795])).
% 25.48/16.80 tff(16800,assumption,(v84(constB146, bitIndex2)), introduced(assumption)).
% 25.48/16.80 tff(16801,plain,
% 25.48/16.80 (^[VarCurr: state_type] : refl((v107(VarCurr) | (~v106(VarCurr))) <=> (v107(VarCurr) | (~v106(VarCurr))))),
% 25.48/16.80 inference(bind,[status(th)],[])).
% 25.48/16.80 tff(16802,plain,
% 25.48/16.80 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 25.48/16.80 inference(quant_intro,[status(thm)],[16801])).
% 25.48/16.80 tff(16803,plain,
% 25.48/16.80 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16804,plain,
% 25.48/16.80 (^[VarCurr: state_type] : rewrite(((~v106(VarCurr)) | v107(VarCurr)) <=> (v107(VarCurr) | (~v106(VarCurr))))),
% 25.48/16.80 inference(bind,[status(th)],[])).
% 25.48/16.80 tff(16805,plain,
% 25.48/16.80 (![VarCurr: state_type] : ((~v106(VarCurr)) | v107(VarCurr)) <=> ![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 25.48/16.80 inference(quant_intro,[status(thm)],[16804])).
% 25.48/16.80 tff(16806,axiom,(![VarCurr: state_type] : ((~v106(VarCurr)) | v107(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_25_1_1_2')).
% 25.48/16.80 tff(16807,plain,
% 25.48/16.80 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16806, 16805])).
% 25.48/16.80 tff(16808,plain,
% 25.48/16.80 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16807, 16803])).
% 25.48/16.80 tff(16809,plain,(
% 25.48/16.80 ![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 25.48/16.80 inference(skolemize,[status(sab)],[16808])).
% 25.48/16.80 tff(16810,plain,
% 25.48/16.80 (![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16809, 16802])).
% 25.48/16.80 tff(16811,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB145) | (~v106(constB145)))) <=> ((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB145) | (~v106(constB145)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16812,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB145) | (~v106(constB145)))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16813,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB145) | (~v106(constB145))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16812, 16811])).
% 25.48/16.80 tff(16814,plain,
% 25.48/16.80 (~v106(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16813, 16810, 16794])).
% 25.48/16.80 tff(16815,plain,
% 25.48/16.80 (~v102(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16714, 16814])).
% 25.48/16.80 tff(16816,plain,
% 25.48/16.80 (~v104(constB146)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16722, 16815])).
% 25.48/16.80 tff(16817,plain,
% 25.48/16.80 (~v94(constB146)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16727, 16816])).
% 25.48/16.80 tff(16818,plain,
% 25.48/16.80 (v84(constB145, bitIndex2)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16792, 16817, 16800])).
% 25.48/16.80 tff(16819,plain,
% 25.48/16.80 (~v84(constB145, bitIndex1)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16686, 16817, 16679])).
% 25.48/16.80 tff(16820,plain,
% 25.48/16.80 (v84(constB145, bitIndex0)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16738, 16817, 16731])).
% 25.48/16.80 tff(16821,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16822,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16823,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16822, 16821])).
% 25.48/16.80 tff(16824,plain,
% 25.48/16.80 ($false),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16823, 1677, 16820, 16819, 16818, 16799])).
% 25.48/16.80 tff(16825,plain,(v107(constB145) | (~v84(constB146, bitIndex2)) | v84(constB146, bitIndex1) | (~v84(constB146, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.48/16.80 tff(16826,plain,
% 25.48/16.80 (~v84(constB146, bitIndex0)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16825, 16785, 16656, 16679])).
% 25.48/16.80 tff(16827,plain,
% 25.48/16.80 (~v84(constB145, bitIndex0)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16768, 16826, 16610])).
% 25.48/16.80 tff(16828,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB145) | (~v172(constB145)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB145) | (~v172(constB145)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16829,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB145) | (~v172(constB145)))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16830,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB145) | (~v172(constB145))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16829, 16828])).
% 25.48/16.80 tff(16831,plain,
% 25.48/16.80 (~v172(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16830, 1468, 16667])).
% 25.48/16.80 tff(16832,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v172(constB145))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v172(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16833,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v172(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16834,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v172(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16833, 16832])).
% 25.48/16.80 tff(16835,plain,
% 25.48/16.80 (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2))),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16834, 1454, 16831])).
% 25.48/16.80 tff(16836,plain,
% 25.48/16.80 ($false),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16835, 16827, 16793, 16687])).
% 25.48/16.80 tff(16837,plain,(v84(constB146, bitIndex1) | v94(constB146)), inference(lemma,lemma(discharge,[]))).
% 25.48/16.80 tff(16838,plain,
% 25.48/16.80 (v84(constB146, bitIndex1)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16837, 16610])).
% 25.48/16.80 tff(16839,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex1)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16840,plain,
% 25.48/16.80 (((~nextState(constB145, constB146)) | v84(constB145, bitIndex1) | v94(constB146) | (~v84(constB146, bitIndex1))) <=> (v84(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex1)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16841,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v84(constB145, bitIndex1) | v94(constB146) | (~v84(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex1))))),
% 25.48/16.80 inference(monotonicity,[status(thm)],[16840])).
% 25.48/16.80 tff(16842,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v84(constB145, bitIndex1) | v94(constB146) | (~v84(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex1)))),
% 25.48/16.80 inference(transitivity,[status(thm)],[16841, 16839])).
% 25.48/16.80 tff(16843,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v84(constB145, bitIndex1) | v94(constB146) | (~v84(constB146, bitIndex1)))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16844,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB145, bitIndex1) | (~nextState(constB145, constB146)) | v94(constB146) | (~v84(constB146, bitIndex1))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16843, 16842])).
% 25.48/16.80 tff(16845,plain,
% 25.48/16.80 (v84(constB145, bitIndex1) | v94(constB146) | (~v84(constB146, bitIndex1))),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16844, 126, 16604])).
% 25.48/16.80 tff(16846,plain,
% 25.48/16.80 (v84(constB145, bitIndex1)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16845, 16610, 16838])).
% 25.48/16.80 tff(16847,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB145) | (~v119(constB145)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB145) | (~v119(constB145)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16848,plain,
% 25.48/16.80 (((~v119(constB145)) | v107(constB145)) <=> (v107(constB145) | (~v119(constB145)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16849,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB145)) | v107(constB145))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB145) | (~v119(constB145))))),
% 25.48/16.80 inference(monotonicity,[status(thm)],[16848])).
% 25.48/16.80 tff(16850,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB145)) | v107(constB145))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB145) | (~v119(constB145)))),
% 25.48/16.80 inference(transitivity,[status(thm)],[16849, 16847])).
% 25.48/16.80 tff(16851,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB145)) | v107(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16852,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB145) | (~v119(constB145))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16851, 16850])).
% 25.48/16.80 tff(16853,plain,
% 25.48/16.80 (~v119(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16852, 1910, 16656])).
% 25.48/16.80 tff(16854,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB145) | (~v115(constB145)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB145) | (~v115(constB145)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16855,plain,
% 25.48/16.80 (((~v115(constB145)) | v111(constB145)) <=> (v111(constB145) | (~v115(constB145)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16856,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB145)) | v111(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB145) | (~v115(constB145))))),
% 25.48/16.80 inference(monotonicity,[status(thm)],[16855])).
% 25.48/16.80 tff(16857,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB145)) | v111(constB145))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB145) | (~v115(constB145)))),
% 25.48/16.80 inference(transitivity,[status(thm)],[16856, 16854])).
% 25.48/16.80 tff(16858,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB145)) | v111(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16859,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB145) | (~v115(constB145))),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16858, 16857])).
% 25.48/16.80 tff(16860,plain,
% 25.48/16.80 (~v115(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16859, 961, 16770])).
% 25.48/16.80 tff(16861,assumption,(v84(constB145, bitIndex1)), introduced(assumption)).
% 25.48/16.80 tff(16862,assumption,(~v84(constB145, bitIndex0)), introduced(assumption)).
% 25.48/16.80 tff(16863,assumption,(~v119(constB145)), introduced(assumption)).
% 25.48/16.80 tff(16864,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16865,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16866,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16865, 16864])).
% 25.48/16.80 tff(16867,plain,
% 25.48/16.80 (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2))),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16866, 1899, 16863])).
% 25.48/16.80 tff(16868,plain,
% 25.48/16.80 (~v84(constB145, bitIndex2)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16867, 16862, 16861])).
% 25.48/16.80 tff(16869,assumption,(~v115(constB145)), introduced(assumption)).
% 25.48/16.80 tff(16870,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16871,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16872,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16871, 16870])).
% 25.48/16.80 tff(16873,plain,
% 25.48/16.80 (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16872, 950, 16869])).
% 25.48/16.80 tff(16874,plain,
% 25.48/16.80 ($false),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16873, 16868, 16862, 16861])).
% 25.48/16.80 tff(16875,plain,(v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v115(constB145) | v119(constB145)), inference(lemma,lemma(discharge,[]))).
% 25.48/16.80 tff(16876,plain,
% 25.48/16.80 (v84(constB145, bitIndex0)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16875, 16860, 16853, 16846])).
% 25.48/16.80 tff(16877,plain,
% 25.48/16.80 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v116(constB145))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v116(constB145))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16878,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v116(constB145))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16879,plain,
% 25.48/16.80 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v116(constB145)),
% 25.48/16.80 inference(modus_ponens,[status(thm)],[16878, 16877])).
% 25.48/16.80 tff(16880,plain,
% 25.48/16.80 ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex2) | v116(constB145)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16879, 1181, 16846])).
% 25.48/16.80 tff(16881,plain,
% 25.48/16.80 (v84(constB145, bitIndex2)),
% 25.48/16.80 inference(unit_resolution,[status(thm)],[16880, 16876, 16678])).
% 25.48/16.80 tff(16882,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex2)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16883,plain,
% 25.48/16.80 (((~nextState(constB144, constB145)) | v84(constB144, bitIndex2) | v94(constB145) | (~v84(constB145, bitIndex2))) <=> (v84(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex2)))),
% 25.48/16.80 inference(rewrite,[status(thm)],[])).
% 25.48/16.80 tff(16884,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex2) | v94(constB145) | (~v84(constB145, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex2))))),
% 25.48/16.80 inference(monotonicity,[status(thm)],[16883])).
% 25.48/16.80 tff(16885,plain,
% 25.48/16.80 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex2) | v94(constB145) | (~v84(constB145, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex2)))),
% 25.48/16.80 inference(transitivity,[status(thm)],[16884, 16882])).
% 25.48/16.80 tff(16886,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex2) | v94(constB145) | (~v84(constB145, bitIndex2)))),
% 25.48/16.80 inference(quant_inst,[status(thm)],[])).
% 25.48/16.80 tff(16887,plain,
% 25.48/16.80 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB144, bitIndex2) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex2))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16886, 16885])).
% 25.48/16.81 tff(16888,plain,
% 25.48/16.81 (v84(constB144, bitIndex2) | v94(constB145) | (~v84(constB145, bitIndex2))),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16887, 105, 16506])).
% 25.48/16.81 tff(16889,plain,
% 25.48/16.81 (v84(constB144, bitIndex2) | (~v84(constB145, bitIndex2))),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16888, 16518])).
% 25.48/16.81 tff(16890,plain,
% 25.48/16.81 (v84(constB144, bitIndex2)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16889, 16881])).
% 25.48/16.81 tff(16891,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex1)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16892,plain,
% 25.48/16.81 (((~nextState(constB144, constB145)) | v84(constB144, bitIndex1) | v94(constB145) | (~v84(constB145, bitIndex1))) <=> (v84(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex1)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16893,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex1) | v94(constB145) | (~v84(constB145, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex1))))),
% 25.48/16.81 inference(monotonicity,[status(thm)],[16892])).
% 25.48/16.81 tff(16894,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex1) | v94(constB145) | (~v84(constB145, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex1)))),
% 25.48/16.81 inference(transitivity,[status(thm)],[16893, 16891])).
% 25.48/16.81 tff(16895,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex1) | v94(constB145) | (~v84(constB145, bitIndex1)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16896,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB144, bitIndex1) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex1))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16895, 16894])).
% 25.48/16.81 tff(16897,plain,
% 25.48/16.81 (v84(constB144, bitIndex1) | v94(constB145) | (~v84(constB145, bitIndex1))),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16896, 126, 16506])).
% 25.48/16.81 tff(16898,plain,
% 25.48/16.81 (v84(constB144, bitIndex1) | (~v84(constB145, bitIndex1))),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16897, 16518])).
% 25.48/16.81 tff(16899,plain,
% 25.48/16.81 (v84(constB144, bitIndex1)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16898, 16846])).
% 25.48/16.81 tff(16900,plain,
% 25.48/16.81 (v84(constB146, bitIndex0)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16768, 16876, 16610])).
% 25.48/16.81 tff(16901,plain,
% 25.48/16.81 ((~v1(constB147)) <=> (~v1(constB147))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16902,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 25.48/16.81 tff(16903,plain,
% 25.48/16.81 (~v1(constB147)),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16902, 16901])).
% 25.48/16.81 tff(16904,plain,
% 25.48/16.81 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16905,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 25.48/16.81 tff(16906,plain,
% 25.48/16.81 (nextState(constB146, constB147)),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16905, 16904])).
% 25.48/16.81 tff(16907,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16908,plain,
% 25.48/16.81 (((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16909,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))))),
% 25.48/16.81 inference(monotonicity,[status(thm)],[16908])).
% 25.48/16.81 tff(16910,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 25.48/16.81 inference(transitivity,[status(thm)],[16909, 16907])).
% 25.48/16.81 tff(16911,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16912,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16911, 16910])).
% 25.48/16.81 tff(16913,plain,
% 25.48/16.81 (~v95(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16912, 73, 16906, 16903])).
% 25.48/16.81 tff(16914,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16915,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16916,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16915, 16914])).
% 25.48/16.81 tff(16917,plain,
% 25.48/16.81 (v95(constB147) | (~v94(constB147))),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16916, 90, 16906])).
% 25.48/16.81 tff(16918,plain,
% 25.48/16.81 (~v94(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16917, 16913])).
% 25.48/16.81 tff(16919,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16920,plain,
% 25.48/16.81 (((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0)) <=> ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16921,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0)))),
% 25.48/16.81 inference(monotonicity,[status(thm)],[16920])).
% 25.48/16.81 tff(16922,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0))),
% 25.48/16.81 inference(transitivity,[status(thm)],[16921, 16919])).
% 25.48/16.81 tff(16923,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16924,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex0)),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16923, 16922])).
% 25.48/16.81 tff(16925,plain,
% 25.48/16.81 ((~v84(constB146, bitIndex0)) | v94(constB147) | v84(constB147, bitIndex0)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16924, 595, 16906])).
% 25.48/16.81 tff(16926,plain,
% 25.48/16.81 ((~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16925, 16918])).
% 25.48/16.81 tff(16927,plain,
% 25.48/16.81 (v84(constB147, bitIndex0)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16926, 16900])).
% 25.48/16.81 tff(16928,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB147)) | (~v84(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB147)) | (~v84(constB147, bitIndex0)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16929,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB147)) | (~v84(constB147, bitIndex0)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16930,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB147)) | (~v84(constB147, bitIndex0))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16929, 16928])).
% 25.48/16.81 tff(16931,plain,
% 25.48/16.81 (~v115(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16930, 11805, 16927])).
% 25.48/16.81 tff(16932,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16933,plain,
% 25.48/16.81 (((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1)) <=> ((~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16934,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1)))),
% 25.48/16.81 inference(monotonicity,[status(thm)],[16933])).
% 25.48/16.81 tff(16935,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1))),
% 25.48/16.81 inference(transitivity,[status(thm)],[16934, 16932])).
% 25.48/16.81 tff(16936,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16937,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex1)),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16936, 16935])).
% 25.48/16.81 tff(16938,plain,
% 25.48/16.81 ((~v84(constB146, bitIndex1)) | v94(constB147) | v84(constB147, bitIndex1)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16937, 860, 16906])).
% 25.48/16.81 tff(16939,plain,
% 25.48/16.81 ((~v84(constB146, bitIndex1)) | v84(constB147, bitIndex1)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16938, 16918])).
% 25.48/16.81 tff(16940,plain,
% 25.48/16.81 (v84(constB147, bitIndex1)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16939, 16838])).
% 25.48/16.81 tff(16941,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB147)) | (~v84(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB147)) | (~v84(constB147, bitIndex1)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16942,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB147)) | (~v84(constB147, bitIndex1)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16943,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB147)) | (~v84(constB147, bitIndex1))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16942, 16941])).
% 25.48/16.81 tff(16944,plain,
% 25.48/16.81 (~v113(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16943, 1996, 16940])).
% 25.48/16.81 tff(16945,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB147)) | (~v84(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB147)) | (~v84(constB147, bitIndex1)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16946,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB147)) | (~v84(constB147, bitIndex1)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16947,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB147)) | (~v84(constB147, bitIndex1))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16946, 16945])).
% 25.48/16.81 tff(16948,plain,
% 25.48/16.81 (~v145(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16947, 2018, 16940])).
% 25.48/16.81 tff(16949,plain,
% 25.48/16.81 (^[VarCurr: state_type] : refl((v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr))) <=> (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(16950,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[16949])).
% 25.48/16.81 tff(16951,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16952,plain,
% 25.48/16.81 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v112(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | (~v112(VarCurr)))), ((((~v112(VarCurr)) | v113(VarCurr)) | v145(VarCurr)) <=> ((v113(VarCurr) | (~v112(VarCurr))) | v145(VarCurr)))), rewrite(((v113(VarCurr) | (~v112(VarCurr))) | v145(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))), ((((~v112(VarCurr)) | v113(VarCurr)) | v145(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(16953,plain,
% 25.48/16.81 (![VarCurr: state_type] : (((~v112(VarCurr)) | v113(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[16952])).
% 25.48/16.81 tff(16954,axiom,(![VarCurr: state_type] : (((~v112(VarCurr)) | v113(VarCurr)) | v145(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_19_1_1_3')).
% 25.48/16.81 tff(16955,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 25.48/16.81 tff(16956,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16955, 16951])).
% 25.48/16.81 tff(16957,plain,(
% 25.48/16.81 ![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 25.48/16.81 inference(skolemize,[status(sab)],[16956])).
% 25.48/16.81 tff(16958,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16957, 16950])).
% 25.48/16.81 tff(16959,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))) | (v113(constB147) | v145(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))) | v113(constB147) | v145(constB147) | (~v112(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16960,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))) | (v113(constB147) | v145(constB147) | (~v112(constB147)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16961,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | (~v112(VarCurr)))) | v113(constB147) | v145(constB147) | (~v112(constB147))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16960, 16959])).
% 25.48/16.81 tff(16962,plain,
% 25.48/16.81 (~v112(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16961, 16958, 16948, 16944])).
% 25.48/16.81 tff(16963,plain,
% 25.48/16.81 (^[VarCurr: state_type] : refl((v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(16964,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[16963])).
% 25.48/16.81 tff(16965,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16966,plain,
% 25.48/16.81 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v111(VarCurr)) | v112(VarCurr)) <=> (v112(VarCurr) | (~v111(VarCurr)))), ((((~v111(VarCurr)) | v112(VarCurr)) | v115(VarCurr)) <=> ((v112(VarCurr) | (~v111(VarCurr))) | v115(VarCurr)))), rewrite(((v112(VarCurr) | (~v111(VarCurr))) | v115(VarCurr)) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))), ((((~v111(VarCurr)) | v112(VarCurr)) | v115(VarCurr)) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(16967,plain,
% 25.48/16.81 (![VarCurr: state_type] : (((~v111(VarCurr)) | v112(VarCurr)) | v115(VarCurr)) <=> ![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[16966])).
% 25.48/16.81 tff(16968,axiom,(![VarCurr: state_type] : (((~v111(VarCurr)) | v112(VarCurr)) | v115(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_20_1_3')).
% 25.48/16.81 tff(16969,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16968, 16967])).
% 25.48/16.81 tff(16970,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16969, 16965])).
% 25.48/16.81 tff(16971,plain,(
% 25.48/16.81 ![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 25.48/16.81 inference(skolemize,[status(sab)],[16970])).
% 25.48/16.81 tff(16972,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16971, 16964])).
% 25.48/16.81 tff(16973,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB147) | v115(constB147) | (~v111(constB147)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB147) | v115(constB147) | (~v111(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16974,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB147) | v115(constB147) | (~v111(constB147)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16975,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB147) | v115(constB147) | (~v111(constB147))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16974, 16973])).
% 25.48/16.81 tff(16976,plain,
% 25.48/16.81 (v115(constB147) | (~v111(constB147))),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16975, 16972, 16962])).
% 25.48/16.81 tff(16977,plain,
% 25.48/16.81 (~v111(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16976, 16931])).
% 25.48/16.81 tff(16978,plain,
% 25.48/16.81 (v84(constB146, bitIndex2)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16695, 16881, 16610])).
% 25.48/16.81 tff(16979,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16980,plain,
% 25.48/16.81 (((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2)) <=> ((~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16981,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2)))),
% 25.48/16.81 inference(monotonicity,[status(thm)],[16980])).
% 25.48/16.81 tff(16982,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2))),
% 25.48/16.81 inference(transitivity,[status(thm)],[16981, 16979])).
% 25.48/16.81 tff(16983,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB146, constB147)) | (~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16984,plain,
% 25.48/16.81 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB146, bitIndex2)) | (~nextState(constB146, constB147)) | v94(constB147) | v84(constB147, bitIndex2)),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16983, 16982])).
% 25.48/16.81 tff(16985,plain,
% 25.48/16.81 ((~v84(constB146, bitIndex2)) | v94(constB147) | v84(constB147, bitIndex2)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16984, 1353, 16906])).
% 25.48/16.81 tff(16986,plain,
% 25.48/16.81 ((~v84(constB146, bitIndex2)) | v84(constB147, bitIndex2)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16985, 16918])).
% 25.48/16.81 tff(16987,plain,
% 25.48/16.81 (v84(constB147, bitIndex2)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16986, 16978])).
% 25.48/16.81 tff(16988,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB147)) | (~v84(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB147)) | (~v84(constB147, bitIndex2)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16989,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB147)) | (~v84(constB147, bitIndex2)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(16990,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB147)) | (~v84(constB147, bitIndex2))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16989, 16988])).
% 25.48/16.81 tff(16991,plain,
% 25.48/16.81 (~v116(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[16990, 1985, 16987])).
% 25.48/16.81 tff(16992,plain,
% 25.48/16.81 (^[VarCurr: state_type] : refl((v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(16993,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[16992])).
% 25.48/16.81 tff(16994,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(16995,plain,
% 25.48/16.81 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v110(VarCurr)) | v111(VarCurr)) <=> (v111(VarCurr) | (~v110(VarCurr)))), ((((~v110(VarCurr)) | v111(VarCurr)) | v116(VarCurr)) <=> ((v111(VarCurr) | (~v110(VarCurr))) | v116(VarCurr)))), rewrite(((v111(VarCurr) | (~v110(VarCurr))) | v116(VarCurr)) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))), ((((~v110(VarCurr)) | v111(VarCurr)) | v116(VarCurr)) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(16996,plain,
% 25.48/16.81 (![VarCurr: state_type] : (((~v110(VarCurr)) | v111(VarCurr)) | v116(VarCurr)) <=> ![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[16995])).
% 25.48/16.81 tff(16997,axiom,(![VarCurr: state_type] : (((~v110(VarCurr)) | v111(VarCurr)) | v116(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_21_1_3')).
% 25.48/16.81 tff(16998,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16997, 16996])).
% 25.48/16.81 tff(16999,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[16998, 16994])).
% 25.48/16.81 tff(17000,plain,(
% 25.48/16.81 ![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 25.48/16.81 inference(skolemize,[status(sab)],[16999])).
% 25.48/16.81 tff(17001,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17000, 16993])).
% 25.48/16.81 tff(17002,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB147) | v116(constB147) | (~v110(constB147)))) <=> ((~![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB147) | v116(constB147) | (~v110(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17003,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB147) | v116(constB147) | (~v110(constB147)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17004,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB147) | v116(constB147) | (~v110(constB147))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17003, 17002])).
% 25.48/16.81 tff(17005,plain,
% 25.48/16.81 (~v110(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17004, 17001, 16991, 16977])).
% 25.48/16.81 tff(17006,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB147)) | (~v84(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB147)) | (~v84(constB147, bitIndex1)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17007,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB147)) | (~v84(constB147, bitIndex1)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17008,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB147)) | (~v84(constB147, bitIndex1))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17007, 17006])).
% 25.48/16.81 tff(17009,plain,
% 25.48/16.81 (~v172(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17008, 2029, 16940])).
% 25.48/16.81 tff(17010,plain,
% 25.48/16.81 (^[VarCurr: state_type] : refl((v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr))) <=> (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(17011,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[17010])).
% 25.48/16.81 tff(17012,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17013,plain,
% 25.48/16.81 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v109(VarCurr)) | v110(VarCurr)) <=> (v110(VarCurr) | (~v109(VarCurr)))), ((((~v109(VarCurr)) | v110(VarCurr)) | v172(VarCurr)) <=> ((v110(VarCurr) | (~v109(VarCurr))) | v172(VarCurr)))), rewrite(((v110(VarCurr) | (~v109(VarCurr))) | v172(VarCurr)) <=> (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))), ((((~v109(VarCurr)) | v110(VarCurr)) | v172(VarCurr)) <=> (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(17014,plain,
% 25.48/16.81 (![VarCurr: state_type] : (((~v109(VarCurr)) | v110(VarCurr)) | v172(VarCurr)) <=> ![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[17013])).
% 25.48/16.81 tff(17015,axiom,(![VarCurr: state_type] : (((~v109(VarCurr)) | v110(VarCurr)) | v172(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_22_1_1_3')).
% 25.48/16.81 tff(17016,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17015, 17014])).
% 25.48/16.81 tff(17017,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17016, 17012])).
% 25.48/16.81 tff(17018,plain,(
% 25.48/16.81 ![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 25.48/16.81 inference(skolemize,[status(sab)],[17017])).
% 25.48/16.81 tff(17019,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17018, 17011])).
% 25.48/16.81 tff(17020,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))) | (v110(constB147) | v172(constB147) | (~v109(constB147)))) <=> ((~![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))) | v110(constB147) | v172(constB147) | (~v109(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17021,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))) | (v110(constB147) | v172(constB147) | (~v109(constB147)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17022,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v110(VarCurr) | v172(VarCurr) | (~v109(VarCurr)))) | v110(constB147) | v172(constB147) | (~v109(constB147))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17021, 17020])).
% 25.48/16.81 tff(17023,plain,
% 25.48/16.81 (v110(constB147) | (~v109(constB147))),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17022, 17019, 17009])).
% 25.48/16.81 tff(17024,plain,
% 25.48/16.81 (~v109(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17023, 17005])).
% 25.48/16.81 tff(17025,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB147)) | (~v84(constB147, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB147)) | (~v84(constB147, bitIndex1)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17026,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB147)) | (~v84(constB147, bitIndex1)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17027,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB147)) | (~v84(constB147, bitIndex1))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17026, 17025])).
% 25.48/16.81 tff(17028,plain,
% 25.48/16.81 (~v118(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17027, 2007, 16940])).
% 25.48/16.81 tff(17029,plain,
% 25.48/16.81 (^[VarCurr: state_type] : refl((v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(17030,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[17029])).
% 25.48/16.81 tff(17031,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17032,plain,
% 25.48/16.81 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v108(VarCurr)) | v109(VarCurr)) <=> (v109(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v109(VarCurr)) | v118(VarCurr)) <=> ((v109(VarCurr) | (~v108(VarCurr))) | v118(VarCurr)))), rewrite(((v109(VarCurr) | (~v108(VarCurr))) | v118(VarCurr)) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))), ((((~v108(VarCurr)) | v109(VarCurr)) | v118(VarCurr)) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(17033,plain,
% 25.48/16.81 (![VarCurr: state_type] : (((~v108(VarCurr)) | v109(VarCurr)) | v118(VarCurr)) <=> ![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[17032])).
% 25.48/16.81 tff(17034,axiom,(![VarCurr: state_type] : (((~v108(VarCurr)) | v109(VarCurr)) | v118(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_23_1_3')).
% 25.48/16.81 tff(17035,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17034, 17033])).
% 25.48/16.81 tff(17036,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17035, 17031])).
% 25.48/16.81 tff(17037,plain,(
% 25.48/16.81 ![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 25.48/16.81 inference(skolemize,[status(sab)],[17036])).
% 25.48/16.81 tff(17038,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17037, 17030])).
% 25.48/16.81 tff(17039,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB147) | v118(constB147) | (~v108(constB147)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB147) | v118(constB147) | (~v108(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17040,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB147) | v118(constB147) | (~v108(constB147)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17041,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB147) | v118(constB147) | (~v108(constB147))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17040, 17039])).
% 25.48/16.81 tff(17042,plain,
% 25.48/16.81 (v109(constB147) | (~v108(constB147))),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17041, 17038, 17028])).
% 25.48/16.81 tff(17043,plain,
% 25.48/16.81 (~v108(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17042, 17024])).
% 25.48/16.81 tff(17044,plain,
% 25.48/16.81 (^[VarCurr: state_type] : refl(((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(17045,plain,
% 25.48/16.81 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[17044])).
% 25.48/16.81 tff(17046,plain,
% 25.48/16.81 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0))) <=> ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17047,axiom,(![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 25.48/16.81 tff(17048,plain,
% 25.48/16.81 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17047, 17046])).
% 25.48/16.81 tff(17049,plain,(
% 25.48/16.81 ![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.48/16.81 inference(skolemize,[status(sab)],[17048])).
% 25.48/16.81 tff(17050,plain,
% 25.48/16.81 (![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17049, 17045])).
% 25.48/16.81 tff(17051,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v119(constB147)) | (~v84(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v119(constB147)) | (~v84(constB147, bitIndex0)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17052,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v119(constB147)) | (~v84(constB147, bitIndex0)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17053,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v119(constB147)) | (~v84(constB147, bitIndex0))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17052, 17051])).
% 25.48/16.81 tff(17054,plain,
% 25.48/16.81 (~v119(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17053, 17050, 16927])).
% 25.48/16.81 tff(17055,plain,
% 25.48/16.81 (^[VarCurr: state_type] : refl((v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(17056,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[17055])).
% 25.48/16.81 tff(17057,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> ![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17058,plain,
% 25.48/16.81 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v107(VarCurr)) | v108(VarCurr)) <=> (v108(VarCurr) | (~v107(VarCurr)))), ((((~v107(VarCurr)) | v108(VarCurr)) | v119(VarCurr)) <=> ((v108(VarCurr) | (~v107(VarCurr))) | v119(VarCurr)))), rewrite(((v108(VarCurr) | (~v107(VarCurr))) | v119(VarCurr)) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))), ((((~v107(VarCurr)) | v108(VarCurr)) | v119(VarCurr)) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))))),
% 25.48/16.81 inference(bind,[status(th)],[])).
% 25.48/16.81 tff(17059,plain,
% 25.48/16.81 (![VarCurr: state_type] : (((~v107(VarCurr)) | v108(VarCurr)) | v119(VarCurr)) <=> ![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 25.48/16.81 inference(quant_intro,[status(thm)],[17058])).
% 25.48/16.81 tff(17060,axiom,(![VarCurr: state_type] : (((~v107(VarCurr)) | v108(VarCurr)) | v119(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_24_1_3')).
% 25.48/16.81 tff(17061,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17060, 17059])).
% 25.48/16.81 tff(17062,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17061, 17057])).
% 25.48/16.81 tff(17063,plain,(
% 25.48/16.81 ![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 25.48/16.81 inference(skolemize,[status(sab)],[17062])).
% 25.48/16.81 tff(17064,plain,
% 25.48/16.81 (![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17063, 17056])).
% 25.48/16.81 tff(17065,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB147) | v119(constB147) | (~v107(constB147)))) <=> ((~![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB147) | v119(constB147) | (~v107(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17066,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB147) | v119(constB147) | (~v107(constB147)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17067,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB147) | v119(constB147) | (~v107(constB147))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17066, 17065])).
% 25.48/16.81 tff(17068,plain,
% 25.48/16.81 (v108(constB147) | (~v107(constB147))),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17067, 17064, 17054])).
% 25.48/16.81 tff(17069,plain,
% 25.48/16.81 (~v107(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17068, 17043])).
% 25.48/16.81 tff(17070,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB147) | (~v106(constB147)))) <=> ((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB147) | (~v106(constB147)))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17071,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB147) | (~v106(constB147)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17072,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB147) | (~v106(constB147))),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17071, 17070])).
% 25.48/16.81 tff(17073,plain,
% 25.48/16.81 (~v106(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17072, 16810, 17069])).
% 25.48/16.81 tff(17074,assumption,(v26(constB147)), introduced(assumption)).
% 25.48/16.81 tff(17075,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB147))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17076,plain,
% 25.48/16.81 ($false),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17075, 18, 17074])).
% 25.48/16.81 tff(17077,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 25.48/16.81 tff(17078,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB147)) | v26(constB147) | v106(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB147)) | v26(constB147) | v106(constB147))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17079,plain,
% 25.48/16.81 ((v26(constB147) | v106(constB147) | (~v102(constB147))) <=> ((~v102(constB147)) | v26(constB147) | v106(constB147))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17080,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB147) | v106(constB147) | (~v102(constB147)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB147)) | v26(constB147) | v106(constB147)))),
% 25.48/16.81 inference(monotonicity,[status(thm)],[17079])).
% 25.48/16.81 tff(17081,plain,
% 25.48/16.81 (((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB147) | v106(constB147) | (~v102(constB147)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB147)) | v26(constB147) | v106(constB147))),
% 25.48/16.81 inference(transitivity,[status(thm)],[17080, 17078])).
% 25.48/16.81 tff(17082,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB147) | v106(constB147) | (~v102(constB147)))),
% 25.48/16.81 inference(quant_inst,[status(thm)],[])).
% 25.48/16.81 tff(17083,plain,
% 25.48/16.81 ((~![VarCurr: state_type] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB147)) | v26(constB147) | v106(constB147)),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17082, 17081])).
% 25.48/16.81 tff(17084,plain,
% 25.48/16.81 ((~v102(constB147)) | v106(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17083, 16707, 17077])).
% 25.48/16.81 tff(17085,plain,
% 25.48/16.81 (~v102(constB147)),
% 25.48/16.81 inference(unit_resolution,[status(thm)],[17084, 17073])).
% 25.48/16.81 tff(17086,plain,
% 25.48/16.81 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17087,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 25.48/16.81 tff(17088,plain,
% 25.48/16.81 (nextState(constB147, constB148)),
% 25.48/16.81 inference(modus_ponens,[status(thm)],[17087, 17086])).
% 25.48/16.81 tff(17089,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17090,plain,
% 25.48/16.81 (((~nextState(constB147, constB148)) | v102(constB147) | (~v104(constB148))) <=> ((~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147))),
% 25.48/16.81 inference(rewrite,[status(thm)],[])).
% 25.48/16.81 tff(17091,plain,
% 25.48/16.81 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | v102(constB147) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147)))),
% 25.48/16.81 inference(monotonicity,[status(thm)],[17090])).
% 25.48/16.82 tff(17092,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | v102(constB147) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17091, 17089])).
% 25.48/16.82 tff(17093,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | v102(constB147) | (~v104(constB148)))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17094,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 25.48/16.82 tff(17095,plain,
% 25.48/16.82 ((~v104(constB148)) | v102(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17094, 2869, 17088])).
% 25.48/16.82 tff(17096,plain,
% 25.48/16.82 (~v104(constB148)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17095, 17085])).
% 25.48/16.82 tff(17097,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v94(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v94(constB148)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17098,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v94(constB148)))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17099,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v94(constB148))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17098, 17097])).
% 25.48/16.82 tff(17100,plain,
% 25.48/16.82 (v104(constB148) | (~v94(constB148))),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17099, 2887, 17088])).
% 25.48/16.82 tff(17101,plain,
% 25.48/16.82 (~v94(constB148)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17100, 17096])).
% 25.48/16.82 tff(17102,assumption,(~v94(constB148)), introduced(assumption)).
% 25.48/16.82 tff(17103,assumption,(~v84(constB148, bitIndex0)), introduced(assumption)).
% 25.48/16.82 tff(17104,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex0))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17105,plain,
% 25.48/16.82 (((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex0)) | v94(constB148) | v84(constB148, bitIndex0)) <=> ((~v84(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex0))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17106,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex0)) | v94(constB148) | v84(constB148, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex0)))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17105])).
% 25.48/16.82 tff(17107,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex0)) | v94(constB148) | v84(constB148, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex0))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17106, 17104])).
% 25.48/16.82 tff(17108,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex0)) | v94(constB148) | v84(constB148, bitIndex0))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17109,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB147, bitIndex0)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex0)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17108, 17107])).
% 25.48/16.82 tff(17110,plain,
% 25.48/16.82 ((~v84(constB147, bitIndex0)) | v94(constB148) | v84(constB148, bitIndex0)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17109, 595, 17088])).
% 25.48/16.82 tff(17111,plain,
% 25.48/16.82 (~v84(constB147, bitIndex0)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17110, 17103, 17102])).
% 25.48/16.82 tff(17112,assumption,(~v84(constB148, bitIndex2)), introduced(assumption)).
% 25.48/16.82 tff(17113,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex2))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17114,plain,
% 25.48/16.82 (((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex2)) | v94(constB148) | v84(constB148, bitIndex2)) <=> ((~v84(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex2))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17115,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex2)) | v94(constB148) | v84(constB148, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex2)))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17114])).
% 25.48/16.82 tff(17116,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex2)) | v94(constB148) | v84(constB148, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex2))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17115, 17113])).
% 25.48/16.82 tff(17117,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex2)) | v94(constB148) | v84(constB148, bitIndex2))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17118,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB147, bitIndex2)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex2)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17117, 17116])).
% 25.48/16.82 tff(17119,plain,
% 25.48/16.82 ((~v84(constB147, bitIndex2)) | v94(constB148) | v84(constB148, bitIndex2)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17118, 1353, 17088])).
% 25.48/16.82 tff(17120,plain,
% 25.48/16.82 (~v84(constB147, bitIndex2)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17119, 17112, 17102])).
% 25.48/16.82 tff(17121,plain,
% 25.48/16.82 (~v84(constB147, bitIndex2)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17119, 17102, 17112])).
% 25.48/16.82 tff(17122,plain,
% 25.48/16.82 (~v84(constB147, bitIndex0)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17110, 17102, 17103])).
% 25.48/16.82 tff(17123,assumption,(~v84(constB148, bitIndex1)), introduced(assumption)).
% 25.48/16.82 tff(17124,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex1))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17125,plain,
% 25.48/16.82 (((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex1)) | v94(constB148) | v84(constB148, bitIndex1)) <=> ((~v84(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex1))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17126,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex1)) | v94(constB148) | v84(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex1)))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17125])).
% 25.48/16.82 tff(17127,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex1)) | v94(constB148) | v84(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex1))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17126, 17124])).
% 25.48/16.82 tff(17128,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v84(constB147, bitIndex1)) | v94(constB148) | v84(constB148, bitIndex1))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17129,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB147, bitIndex1)) | (~nextState(constB147, constB148)) | v94(constB148) | v84(constB148, bitIndex1)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 25.48/16.82 tff(17130,plain,
% 25.48/16.82 ((~v84(constB147, bitIndex1)) | v94(constB148) | v84(constB148, bitIndex1)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17129, 860, 17088])).
% 25.48/16.82 tff(17131,plain,
% 25.48/16.82 (~v84(constB147, bitIndex1)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17130, 17102, 17123])).
% 25.48/16.82 tff(17132,assumption,(v113(constB147)), introduced(assumption)).
% 25.48/16.82 tff(17133,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB147)) | v124(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB147)) | v124(constB147, bitIndex0))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17134,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB147)) | v124(constB147, bitIndex0))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17135,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB147)) | v124(constB147, bitIndex0)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17134, 17133])).
% 25.48/16.82 tff(17136,plain,
% 25.48/16.82 (v124(constB147, bitIndex0)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17135, 533, 17132])).
% 25.48/16.82 tff(17137,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB147) | (~v124(constB147, bitIndex0)) | v121(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB147) | (~v124(constB147, bitIndex0)) | v121(constB147, bitIndex0))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17138,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB147) | (~v124(constB147, bitIndex0)) | v121(constB147, bitIndex0))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17139,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB147) | (~v124(constB147, bitIndex0)) | v121(constB147, bitIndex0)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17138, 17137])).
% 25.48/16.82 tff(17140,plain,
% 25.48/16.82 ((~v124(constB147, bitIndex0)) | v121(constB147, bitIndex0)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17139, 547, 17077])).
% 25.48/16.82 tff(17141,plain,
% 25.48/16.82 (v121(constB147, bitIndex0)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17140, 17136])).
% 25.48/16.82 tff(17142,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex0)) | v123(constB148, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex0)) | v123(constB148, bitIndex0))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17143,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex0)) | v123(constB148, bitIndex0))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17144,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex0)) | v123(constB148, bitIndex0)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17143, 17142])).
% 25.48/16.82 tff(17145,plain,
% 25.48/16.82 ((~v121(constB147, bitIndex0)) | v123(constB148, bitIndex0)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17144, 562, 17088])).
% 25.48/16.82 tff(17146,plain,
% 25.48/16.82 (v123(constB148, bitIndex0)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17145, 17141])).
% 25.48/16.82 tff(17147,plain,
% 25.48/16.82 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~v123(constB148, bitIndex0)) | (~v94(constB148)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~v123(constB148, bitIndex0)) | (~v94(constB148)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17148,plain,
% 25.48/16.82 ((v84(constB148, bitIndex0) | (~v94(constB148)) | (~v123(constB148, bitIndex0))) <=> (v84(constB148, bitIndex0) | (~v123(constB148, bitIndex0)) | (~v94(constB148)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17149,plain,
% 25.48/16.82 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~v94(constB148)) | (~v123(constB148, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~v123(constB148, bitIndex0)) | (~v94(constB148))))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17148])).
% 25.48/16.82 tff(17150,plain,
% 25.48/16.82 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~v94(constB148)) | (~v123(constB148, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~v123(constB148, bitIndex0)) | (~v94(constB148)))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17149, 17147])).
% 25.48/16.82 tff(17151,plain,
% 25.48/16.82 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~v94(constB148)) | (~v123(constB148, bitIndex0)))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17152,plain,
% 25.48/16.82 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~v123(constB148, bitIndex0)) | (~v94(constB148))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17151, 17150])).
% 25.48/16.82 tff(17153,plain,
% 25.48/16.82 ((~v123(constB148, bitIndex0)) | (~v94(constB148))),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17152, 577, 17103])).
% 25.48/16.82 tff(17154,plain,
% 25.48/16.82 (~v94(constB148)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17153, 17146])).
% 25.48/16.82 tff(17155,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17156,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17157,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 25.48/16.82 tff(17158,plain,
% 25.48/16.82 (~v98(constB148)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17157, 313, 17088, 16903])).
% 25.48/16.82 tff(17159,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17160,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17161,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 25.48/16.82 tff(17162,plain,
% 25.48/16.82 (v96(constB148) | v98(constB148)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17161, 327, 17088])).
% 25.48/16.82 tff(17163,plain,
% 25.48/16.82 (v96(constB148)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17162, 17158])).
% 25.48/16.82 tff(17164,plain,
% 25.48/16.82 (v1(constB148) <=> v1(constB148)),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17165,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 25.48/16.82 tff(17166,plain,
% 25.48/16.82 (v1(constB148)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17165, 17164])).
% 25.48/16.82 tff(17167,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17168,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17169,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17168, 17167])).
% 25.48/16.82 tff(17170,plain,
% 25.48/16.82 (v95(constB148) | (~v96(constB148))),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17169, 345, 17088, 17166])).
% 25.48/16.82 tff(17171,plain,
% 25.48/16.82 (v95(constB148)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17170, 17163])).
% 25.48/16.82 tff(17172,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17173,plain,
% 25.48/16.82 (((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148)) <=> ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17174,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148))))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17173])).
% 25.48/16.82 tff(17175,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148)))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17174, 17172])).
% 25.48/16.82 tff(17176,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17177,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | v94(constB148) | (~v95(constB148)) | (~v104(constB148))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17176, 17175])).
% 25.48/16.82 tff(17178,plain,
% 25.48/16.82 (v94(constB148) | (~v95(constB148)) | (~v104(constB148))),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17177, 360, 17088])).
% 25.48/16.82 tff(17179,plain,
% 25.48/16.82 (v94(constB148) | (~v104(constB148))),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17178, 17171])).
% 25.48/16.82 tff(17180,plain,
% 25.48/16.82 (~v104(constB148)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17179, 17154])).
% 25.48/16.82 tff(17181,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17182,plain,
% 25.48/16.82 (((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148)) <=> ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17183,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17182])).
% 25.48/16.82 tff(17184,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17183, 17181])).
% 25.48/16.82 tff(17185,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17186,plain,
% 25.48/16.82 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17185, 17184])).
% 25.48/16.82 tff(17187,plain,
% 25.48/16.82 (v104(constB148) | (~v102(constB147))),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17186, 295, 17088])).
% 25.48/16.82 tff(17188,plain,
% 25.48/16.82 (~v102(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17187, 17180])).
% 25.48/16.82 tff(17189,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB147) | (~v106(constB147)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB147) | (~v106(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17190,plain,
% 25.48/16.82 (((~v106(constB147)) | v102(constB147)) <=> (v102(constB147) | (~v106(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17191,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB147)) | v102(constB147))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB147) | (~v106(constB147))))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17190])).
% 25.48/16.82 tff(17192,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB147)) | v102(constB147))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB147) | (~v106(constB147)))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17191, 17189])).
% 25.48/16.82 tff(17193,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB147)) | v102(constB147))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17194,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB147) | (~v106(constB147))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17193, 17192])).
% 25.48/16.82 tff(17195,plain,
% 25.48/16.82 (~v106(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17194, 275, 17188])).
% 25.48/16.82 tff(17196,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | (~v107(constB147)) | v106(constB147))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17197,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17198,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | (~v107(constB147)) | v106(constB147)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17197, 17196])).
% 25.48/16.82 tff(17199,plain,
% 25.48/16.82 ((~v107(constB147)) | v106(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17198, 263, 17077])).
% 25.48/16.82 tff(17200,plain,
% 25.48/16.82 (~v107(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17199, 17195])).
% 25.48/16.82 tff(17201,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB147) | (~v108(constB147)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB147) | (~v108(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17202,plain,
% 25.48/16.82 (((~v108(constB147)) | v107(constB147)) <=> (v107(constB147) | (~v108(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17203,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB147)) | v107(constB147))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB147) | (~v108(constB147))))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17202])).
% 25.48/16.82 tff(17204,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB147)) | v107(constB147))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB147) | (~v108(constB147)))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17203, 17201])).
% 25.48/16.82 tff(17205,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB147)) | v107(constB147))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17206,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB147) | (~v108(constB147))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17205, 17204])).
% 25.48/16.82 tff(17207,plain,
% 25.48/16.82 (~v108(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17206, 249, 17200])).
% 25.48/16.82 tff(17208,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB147)) | v112(constB147))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB147)) | v112(constB147))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17209,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB147)) | v112(constB147))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17210,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (~v113(constB147)) | v112(constB147)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17209, 17208])).
% 25.48/16.82 tff(17211,plain,
% 25.48/16.82 (v112(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17210, 182, 17132])).
% 25.48/16.82 tff(17212,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB147) | (~v112(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17213,plain,
% 25.48/16.82 (((~v112(constB147)) | v111(constB147)) <=> (v111(constB147) | (~v112(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17214,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB147)) | v111(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB147) | (~v112(constB147))))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17213])).
% 25.48/16.82 tff(17215,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB147)) | v111(constB147))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB147) | (~v112(constB147)))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17214, 17212])).
% 25.48/16.82 tff(17216,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB147)) | v111(constB147))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17217,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB147) | (~v112(constB147))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17216, 17215])).
% 25.48/16.82 tff(17218,plain,
% 25.48/16.82 (v111(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17217, 193, 17211])).
% 25.48/16.82 tff(17219,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB147) | (~v111(constB147)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB147) | (~v111(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17220,plain,
% 25.48/16.82 (((~v111(constB147)) | v110(constB147)) <=> (v110(constB147) | (~v111(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17221,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB147)) | v110(constB147))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB147) | (~v111(constB147))))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17220])).
% 25.48/16.82 tff(17222,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB147)) | v110(constB147))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB147) | (~v111(constB147)))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17221, 17219])).
% 25.48/16.82 tff(17223,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB147)) | v110(constB147))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17224,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB147) | (~v111(constB147))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17223, 17222])).
% 25.48/16.82 tff(17225,plain,
% 25.48/16.82 (v110(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17224, 207, 17218])).
% 25.48/16.82 tff(17226,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB147) | (~v110(constB147)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB147) | (~v110(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17227,plain,
% 25.48/16.82 (((~v110(constB147)) | v109(constB147)) <=> (v109(constB147) | (~v110(constB147)))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17228,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB147)) | v109(constB147))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB147) | (~v110(constB147))))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17227])).
% 25.48/16.82 tff(17229,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB147)) | v109(constB147))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB147) | (~v110(constB147)))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17228, 17226])).
% 25.48/16.82 tff(17230,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB147)) | v109(constB147))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17231,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB147) | (~v110(constB147))),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17230, 17229])).
% 25.48/16.82 tff(17232,plain,
% 25.48/16.82 (v109(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17231, 221, 17225])).
% 25.48/16.82 tff(17233,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB147)) | v108(constB147))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB147)) | v108(constB147))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17234,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB147)) | v108(constB147))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17235,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB147)) | v108(constB147)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 25.48/16.82 tff(17236,plain,
% 25.48/16.82 ($false),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17235, 235, 17232, 17207])).
% 25.48/16.82 tff(17237,plain,((~v113(constB147)) | v84(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.48/16.82 tff(17238,plain,
% 25.48/16.82 (~v113(constB147)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17237, 17103])).
% 25.48/16.82 tff(17239,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v113(constB147))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v113(constB147))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17240,plain,
% 25.48/16.82 ((v84(constB147, bitIndex0) | v113(constB147) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2)) <=> (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v113(constB147))),
% 25.48/16.82 inference(rewrite,[status(thm)],[])).
% 25.48/16.82 tff(17241,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB147, bitIndex0) | v113(constB147) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v113(constB147)))),
% 25.48/16.82 inference(monotonicity,[status(thm)],[17240])).
% 25.48/16.82 tff(17242,plain,
% 25.48/16.82 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB147, bitIndex0) | v113(constB147) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v113(constB147))),
% 25.48/16.82 inference(transitivity,[status(thm)],[17241, 17239])).
% 25.48/16.82 tff(17243,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB147, bitIndex0) | v113(constB147) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))),
% 25.48/16.82 inference(quant_inst,[status(thm)],[])).
% 25.48/16.82 tff(17244,plain,
% 25.48/16.82 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v113(constB147)),
% 25.48/16.82 inference(modus_ponens,[status(thm)],[17243, 17242])).
% 25.48/16.82 tff(17245,plain,
% 25.48/16.82 (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17244, 168, 17238])).
% 25.48/16.82 tff(17246,plain,
% 25.48/16.82 ($false),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17245, 17131, 17122, 17121])).
% 25.48/16.82 tff(17247,plain,(v94(constB148) | v84(constB148, bitIndex2) | v84(constB148, bitIndex1) | v84(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.48/16.82 tff(17248,plain,
% 25.48/16.82 (v84(constB148, bitIndex1)),
% 25.48/16.82 inference(unit_resolution,[status(thm)],[17247, 17112, 17102, 17103])).
% 25.48/16.82 tff(17249,plain,
% 25.48/16.82 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex1)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17250,plain,
% 25.48/16.83 (((~nextState(constB147, constB148)) | v84(constB147, bitIndex1) | v94(constB148) | (~v84(constB148, bitIndex1))) <=> (v84(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex1)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17251,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v84(constB147, bitIndex1) | v94(constB148) | (~v84(constB148, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex1))))),
% 25.48/16.83 inference(monotonicity,[status(thm)],[17250])).
% 25.48/16.83 tff(17252,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v84(constB147, bitIndex1) | v94(constB148) | (~v84(constB148, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex1)))),
% 25.48/16.83 inference(transitivity,[status(thm)],[17251, 17249])).
% 25.48/16.83 tff(17253,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB147, constB148)) | v84(constB147, bitIndex1) | v94(constB148) | (~v84(constB148, bitIndex1)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17254,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB147, bitIndex1) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex1))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17253, 17252])).
% 25.48/16.83 tff(17255,plain,
% 25.48/16.83 (v84(constB147, bitIndex1) | v94(constB148) | (~v84(constB148, bitIndex1))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17254, 126, 17088])).
% 25.48/16.83 tff(17256,plain,
% 25.48/16.83 (v84(constB147, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17255, 17248, 17102])).
% 25.48/16.83 tff(17257,plain,
% 25.48/16.83 (~v104(constB148)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17179, 17102])).
% 25.48/16.83 tff(17258,plain,
% 25.48/16.83 (~v102(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17187, 17257])).
% 25.48/16.83 tff(17259,plain,
% 25.48/16.83 (~v106(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17194, 275, 17258])).
% 25.48/16.83 tff(17260,plain,
% 25.48/16.83 (~v107(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17199, 17259])).
% 25.48/16.83 tff(17261,plain,
% 25.48/16.83 (~v108(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17206, 249, 17260])).
% 25.48/16.83 tff(17262,plain,
% 25.48/16.83 (~v109(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17235, 235, 17261])).
% 25.48/16.83 tff(17263,plain,
% 25.48/16.83 (~v110(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17231, 221, 17262])).
% 25.48/16.83 tff(17264,plain,
% 25.48/16.83 (~v111(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17224, 207, 17263])).
% 25.48/16.83 tff(17265,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB147)) | v111(constB147))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB147)) | v111(constB147))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17266,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB147)) | v111(constB147))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17267,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB147)) | v111(constB147)),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17266, 17265])).
% 25.48/16.83 tff(17268,plain,
% 25.48/16.83 (~v115(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17267, 961, 17264])).
% 25.48/16.83 tff(17269,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v115(constB147))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v115(constB147))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17270,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v115(constB147))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17271,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v115(constB147)),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17270, 17269])).
% 25.48/16.83 tff(17272,plain,
% 25.48/16.83 (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17271, 950, 17268])).
% 25.48/16.83 tff(17273,plain,
% 25.48/16.83 ($false),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17272, 17256, 17120, 17111])).
% 25.48/16.83 tff(17274,plain,(v84(constB148, bitIndex2) | v94(constB148) | v84(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.48/16.83 tff(17275,plain,
% 25.48/16.83 (v84(constB148, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17274, 17103, 17102])).
% 25.48/16.83 tff(17276,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex2)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17277,plain,
% 25.48/16.83 (((~nextState(constB147, constB148)) | v84(constB147, bitIndex2) | v94(constB148) | (~v84(constB148, bitIndex2))) <=> (v84(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex2)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17278,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v84(constB147, bitIndex2) | v94(constB148) | (~v84(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex2))))),
% 25.48/16.83 inference(monotonicity,[status(thm)],[17277])).
% 25.48/16.83 tff(17279,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v84(constB147, bitIndex2) | v94(constB148) | (~v84(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex2)))),
% 25.48/16.83 inference(transitivity,[status(thm)],[17278, 17276])).
% 25.48/16.83 tff(17280,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v84(constB147, bitIndex2) | v94(constB148) | (~v84(constB148, bitIndex2)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17281,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB147, bitIndex2) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex2))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17280, 17279])).
% 25.48/16.83 tff(17282,plain,
% 25.48/16.83 (v84(constB147, bitIndex2) | v94(constB148) | (~v84(constB148, bitIndex2))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17281, 105, 17088])).
% 25.48/16.83 tff(17283,plain,
% 25.48/16.83 (v84(constB147, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17282, 17275, 17102])).
% 25.48/16.83 tff(17284,assumption,(v84(constB148, bitIndex2)), introduced(assumption)).
% 25.48/16.83 tff(17285,plain,
% 25.48/16.83 (v84(constB147, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17282, 17102, 17284])).
% 25.48/16.83 tff(17286,assumption,(v84(constB148, bitIndex1)), introduced(assumption)).
% 25.48/16.83 tff(17287,plain,
% 25.48/16.83 (v84(constB147, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17255, 17102, 17286])).
% 25.48/16.83 tff(17288,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | (~v84(constB147, bitIndex2)) | v119(constB147))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | (~v84(constB147, bitIndex2)) | v119(constB147))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17289,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | (~v84(constB147, bitIndex2)) | v119(constB147))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17290,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | (~v84(constB147, bitIndex2)) | v119(constB147)),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17289, 17288])).
% 25.48/16.83 tff(17291,plain,
% 25.48/16.83 (v119(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17290, 1899, 17122, 17287, 17285])).
% 25.48/16.83 tff(17292,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB147)) | v107(constB147))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB147)) | v107(constB147))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17293,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB147)) | v107(constB147))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17294,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB147)) | v107(constB147)),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17293, 17292])).
% 25.48/16.83 tff(17295,plain,
% 25.48/16.83 ($false),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17294, 1910, 17260, 17291])).
% 25.48/16.83 tff(17296,plain,(v94(constB148) | (~v84(constB148, bitIndex2)) | (~v84(constB148, bitIndex1)) | v84(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 25.48/16.83 tff(17297,plain,
% 25.48/16.83 (~v84(constB148, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17296, 17275, 17102, 17103])).
% 25.48/16.83 tff(17298,plain,
% 25.48/16.83 (~v84(constB147, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17130, 17297, 17102])).
% 25.48/16.83 tff(17299,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB147) | (~v172(constB147)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB147) | (~v172(constB147)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17300,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB147) | (~v172(constB147)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17301,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB147) | (~v172(constB147))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17300, 17299])).
% 25.48/16.83 tff(17302,plain,
% 25.48/16.83 (~v172(constB147)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17301, 1468, 17262])).
% 25.48/16.83 tff(17303,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v172(constB147))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v172(constB147))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17304,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v172(constB147))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17305,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v172(constB147)),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17304, 17303])).
% 25.48/16.83 tff(17306,plain,
% 25.48/16.83 (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17305, 1454, 17302])).
% 25.48/16.83 tff(17307,plain,
% 25.48/16.83 ($false),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17306, 17298, 17283, 17111])).
% 25.48/16.83 tff(17308,plain,(v84(constB148, bitIndex0) | v94(constB148)), inference(lemma,lemma(discharge,[]))).
% 25.48/16.83 tff(17309,plain,
% 25.48/16.83 (v84(constB148, bitIndex0)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17308, 17101])).
% 25.48/16.83 tff(17310,plain,
% 25.48/16.83 (v84(constB148, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17119, 17101, 16987])).
% 25.48/16.83 tff(17311,plain,
% 25.48/16.83 (v84(constB148, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17130, 17101, 16940])).
% 25.48/16.83 tff(17312,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17313,plain,
% 25.48/16.83 (((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1))) <=> (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17314,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1))))),
% 25.48/16.83 inference(monotonicity,[status(thm)],[17313])).
% 25.48/16.83 tff(17315,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 25.48/16.83 inference(transitivity,[status(thm)],[17314, 17312])).
% 25.48/16.83 tff(17316,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17317,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex1))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 25.48/16.83 tff(17318,plain,
% 25.48/16.83 (v84(constB146, bitIndex1) | v94(constB147) | (~v84(constB147, bitIndex1))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17317, 126, 16906])).
% 25.48/16.83 tff(17319,plain,
% 25.48/16.83 (v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17318, 16918])).
% 25.48/16.83 tff(17320,plain,
% 25.48/16.83 (v84(constB146, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17319, 17287])).
% 25.48/16.83 tff(17321,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17322,plain,
% 25.48/16.83 (((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2))) <=> (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17323,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2))))),
% 25.48/16.83 inference(monotonicity,[status(thm)],[17322])).
% 25.48/16.83 tff(17324,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 25.48/16.83 inference(transitivity,[status(thm)],[17323, 17321])).
% 25.48/16.83 tff(17325,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17326,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB146, bitIndex2) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex2))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 25.48/16.83 tff(17327,plain,
% 25.48/16.83 (v84(constB146, bitIndex2) | v94(constB147) | (~v84(constB147, bitIndex2))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17326, 105, 16906])).
% 25.48/16.83 tff(17328,plain,
% 25.48/16.83 (v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17327, 16918])).
% 25.48/16.83 tff(17329,plain,
% 25.48/16.83 (v84(constB146, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17328, 17285])).
% 25.48/16.83 tff(17330,assumption,(v84(constB148, bitIndex0)), introduced(assumption)).
% 25.48/16.83 tff(17331,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex0)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17332,plain,
% 25.48/16.83 (((~nextState(constB147, constB148)) | v84(constB147, bitIndex0) | v94(constB148) | (~v84(constB148, bitIndex0))) <=> (v84(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex0)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17333,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v84(constB147, bitIndex0) | v94(constB148) | (~v84(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex0))))),
% 25.48/16.83 inference(monotonicity,[status(thm)],[17332])).
% 25.48/16.83 tff(17334,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v84(constB147, bitIndex0) | v94(constB148) | (~v84(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex0)))),
% 25.48/16.83 inference(transitivity,[status(thm)],[17333, 17331])).
% 25.48/16.83 tff(17335,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v84(constB147, bitIndex0) | v94(constB148) | (~v84(constB148, bitIndex0)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17336,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB147, bitIndex0) | (~nextState(constB147, constB148)) | v94(constB148) | (~v84(constB148, bitIndex0))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17335, 17334])).
% 25.48/16.83 tff(17337,plain,
% 25.48/16.83 (v84(constB147, bitIndex0) | v94(constB148) | (~v84(constB148, bitIndex0))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17336, 147, 17088])).
% 25.48/16.83 tff(17338,plain,
% 25.48/16.83 (v84(constB147, bitIndex0)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17337, 17102, 17330])).
% 25.48/16.83 tff(17339,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex0)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17340,plain,
% 25.48/16.83 (((~nextState(constB146, constB147)) | v84(constB146, bitIndex0) | v94(constB147) | (~v84(constB147, bitIndex0))) <=> (v84(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex0)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17341,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex0) | v94(constB147) | (~v84(constB147, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex0))))),
% 25.48/16.83 inference(monotonicity,[status(thm)],[17340])).
% 25.48/16.83 tff(17342,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex0) | v94(constB147) | (~v84(constB147, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex0)))),
% 25.48/16.83 inference(transitivity,[status(thm)],[17341, 17339])).
% 25.48/16.83 tff(17343,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB146, constB147)) | v84(constB146, bitIndex0) | v94(constB147) | (~v84(constB147, bitIndex0)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17344,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~nextState(constB146, constB147)) | v94(constB147) | (~v84(constB147, bitIndex0))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17343, 17342])).
% 25.48/16.83 tff(17345,plain,
% 25.48/16.83 (v84(constB146, bitIndex0) | v94(constB147) | (~v84(constB147, bitIndex0))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17344, 147, 16906])).
% 25.48/16.83 tff(17346,plain,
% 25.48/16.83 (v84(constB146, bitIndex0) | (~v84(constB147, bitIndex0))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17345, 16918])).
% 25.48/16.83 tff(17347,plain,
% 25.48/16.83 (v84(constB146, bitIndex0)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17346, 17338])).
% 25.48/16.83 tff(17348,assumption,(~v84(constB143, bitIndex0)), introduced(assumption)).
% 25.48/16.83 tff(17349,assumption,(v118(constB143)), introduced(assumption)).
% 25.48/16.83 tff(17350,plain,
% 25.48/16.83 (v108(constB143)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16414, 1688, 17349])).
% 25.48/16.83 tff(17351,plain,
% 25.48/16.83 (v107(constB143)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16421, 249, 17350])).
% 25.48/16.83 tff(17352,plain,
% 25.48/16.83 (v106(constB143)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16433, 17351])).
% 25.48/16.83 tff(17353,plain,
% 25.48/16.83 (v102(constB143)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16440, 275, 17352])).
% 25.48/16.83 tff(17354,plain,
% 25.48/16.83 (v104(constB144)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16451, 17353])).
% 25.48/16.83 tff(17355,plain,
% 25.48/16.83 (v94(constB144)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16477, 17354])).
% 25.48/16.83 tff(17356,plain,
% 25.48/16.83 (v124(constB143, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16542, 1761, 17349])).
% 25.48/16.83 tff(17357,plain,
% 25.48/16.83 (v121(constB143, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16547, 17356])).
% 25.48/16.83 tff(17358,plain,
% 25.48/16.83 (v123(constB144, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16552, 17357])).
% 25.48/16.83 tff(17359,plain,
% 25.48/16.83 (v84(constB144, bitIndex2) | (~v94(constB144))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16559, 1317, 17358])).
% 25.48/16.83 tff(17360,plain,
% 25.48/16.83 (v84(constB144, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17359, 17355])).
% 25.48/16.83 tff(17361,plain,
% 25.48/16.83 (v84(constB145, bitIndex2)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16569, 17360])).
% 25.48/16.83 tff(17362,plain,
% 25.48/16.83 (v124(constB143, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16481, 1817, 17349])).
% 25.48/16.83 tff(17363,plain,
% 25.48/16.83 (v121(constB143, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16486, 17362])).
% 25.48/16.83 tff(17364,plain,
% 25.48/16.83 (v123(constB144, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16491, 17363])).
% 25.48/16.83 tff(17365,plain,
% 25.48/16.83 (v84(constB144, bitIndex1) | (~v94(constB144))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16498, 842, 17364])).
% 25.48/16.83 tff(17366,plain,
% 25.48/16.83 (v84(constB144, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17365, 17355])).
% 25.48/16.83 tff(17367,plain,
% 25.48/16.83 (v84(constB145, bitIndex1)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[16526, 17366])).
% 25.48/16.83 tff(17368,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB143)) | (~v124(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB143)) | (~v124(constB143, bitIndex0)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17369,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB143)) | (~v124(constB143, bitIndex0)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17370,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB143)) | (~v124(constB143, bitIndex0))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17369, 17368])).
% 25.48/16.83 tff(17371,plain,
% 25.48/16.83 (~v124(constB143, bitIndex0)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17370, 1855, 17349])).
% 25.48/16.83 tff(17372,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17373,plain,
% 25.48/16.83 ((v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0))) <=> ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17374,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0)))),
% 25.48/16.83 inference(monotonicity,[status(thm)],[17373])).
% 25.48/16.83 tff(17375,plain,
% 25.48/16.83 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0))),
% 25.48/16.83 inference(transitivity,[status(thm)],[17374, 17372])).
% 25.48/16.83 tff(17376,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB143) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17377,plain,
% 25.48/16.83 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB143, bitIndex0)) | v26(constB143) | v124(constB143, bitIndex0)),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17376, 17375])).
% 25.48/16.83 tff(17378,plain,
% 25.48/16.83 ((~v121(constB143, bitIndex0)) | v124(constB143, bitIndex0)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17377, 890, 16426])).
% 25.48/16.83 tff(17379,plain,
% 25.48/16.83 (~v121(constB143, bitIndex0)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17378, 17371])).
% 25.48/16.83 tff(17380,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17381,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17382,plain,
% 25.48/16.83 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17381, 17380])).
% 25.48/16.83 tff(17383,plain,
% 25.48/16.83 (v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17382, 908, 16444])).
% 25.48/16.83 tff(17384,plain,
% 25.48/16.83 (~v123(constB144, bitIndex0)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17383, 17379])).
% 25.48/16.83 tff(17385,plain,
% 25.48/16.83 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17386,plain,
% 25.48/16.83 (((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0)) <=> ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 25.48/16.83 inference(rewrite,[status(thm)],[])).
% 25.48/16.83 tff(17387,plain,
% 25.48/16.83 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144))))),
% 25.48/16.83 inference(monotonicity,[status(thm)],[17386])).
% 25.48/16.83 tff(17388,plain,
% 25.48/16.83 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144)))),
% 25.48/16.83 inference(transitivity,[status(thm)],[17387, 17385])).
% 25.48/16.83 tff(17389,plain,
% 25.48/16.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB144, bitIndex0)) | (~v94(constB144)) | v123(constB144, bitIndex0))),
% 25.48/16.83 inference(quant_inst,[status(thm)],[])).
% 25.48/16.83 tff(17390,plain,
% 25.48/16.83 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0) | (~v94(constB144))),
% 25.48/16.83 inference(modus_ponens,[status(thm)],[17389, 17388])).
% 25.48/16.83 tff(17391,plain,
% 25.48/16.83 ((~v84(constB144, bitIndex0)) | (~v94(constB144))),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17390, 923, 17384])).
% 25.48/16.83 tff(17392,plain,
% 25.48/16.83 (~v84(constB144, bitIndex0)),
% 25.48/16.83 inference(unit_resolution,[status(thm)],[17391, 17355])).
% 25.48/16.83 tff(17393,plain,
% 25.48/16.83 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17394,plain,
% 25.48/16.84 (((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0))) <=> (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17395,plain,
% 25.48/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0))))),
% 25.48/16.84 inference(monotonicity,[status(thm)],[17394])).
% 25.48/16.84 tff(17396,plain,
% 25.48/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 25.48/16.84 inference(transitivity,[status(thm)],[17395, 17393])).
% 25.48/16.84 tff(17397,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB144, constB145)) | v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17398,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB144, bitIndex0) | (~nextState(constB144, constB145)) | v94(constB145) | (~v84(constB145, bitIndex0))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17397, 17396])).
% 25.48/16.84 tff(17399,plain,
% 25.48/16.84 (v84(constB144, bitIndex0) | v94(constB145) | (~v84(constB145, bitIndex0))),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17398, 147, 16506])).
% 25.48/16.84 tff(17400,plain,
% 25.48/16.84 (v84(constB144, bitIndex0) | (~v84(constB145, bitIndex0))),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17399, 16518])).
% 25.48/16.84 tff(17401,plain,
% 25.48/16.84 (~v84(constB145, bitIndex0)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17400, 17392])).
% 25.48/16.84 tff(17402,plain,
% 25.48/16.84 (v119(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16866, 1899, 17401, 17367, 17361])).
% 25.48/16.84 tff(17403,plain,
% 25.48/16.84 (v107(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16852, 1910, 17402])).
% 25.48/16.84 tff(17404,plain,
% 25.48/16.84 (v106(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16655, 17403])).
% 25.48/16.84 tff(17405,plain,
% 25.48/16.84 (v102(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16650, 275, 17404])).
% 25.48/16.84 tff(17406,plain,
% 25.48/16.84 (v104(constB146)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16643, 17405])).
% 25.48/16.84 tff(17407,plain,
% 25.48/16.84 (v94(constB146)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16635, 17406])).
% 25.48/16.84 tff(17408,plain,
% 25.48/16.84 (~v113(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16530, 1996, 17367])).
% 25.48/16.84 tff(17409,plain,
% 25.48/16.84 (~v118(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16534, 2007, 17367])).
% 25.48/16.84 tff(17410,plain,
% 25.48/16.84 (~v172(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16538, 2029, 17367])).
% 25.48/16.84 tff(17411,plain,
% 25.48/16.84 (~v116(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16573, 1985, 17361])).
% 25.48/16.84 tff(17412,plain,
% 25.48/16.84 (~v115(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16577, 1974, 17361])).
% 25.48/16.84 tff(17413,plain,
% 25.48/16.84 (~v145(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16581, 2018, 17367])).
% 25.48/16.84 tff(17414,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17415,plain,
% 25.48/16.84 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1))) <=> (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17416,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1))))),
% 25.48/16.84 inference(monotonicity,[status(thm)],[17415])).
% 25.48/16.84 tff(17417,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 25.48/16.84 inference(transitivity,[status(thm)],[17416, 17414])).
% 25.48/16.84 tff(17418,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~v124(constB145, bitIndex1)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17419,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | (~v124(constB145, bitIndex1))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17418, 17417])).
% 25.48/16.84 tff(17420,plain,
% 25.48/16.84 (~v124(constB145, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17419, 2105, 17413, 17412, 17411, 17410, 17409, 17408])).
% 25.48/16.84 tff(17421,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17422,plain,
% 25.48/16.84 ((v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1))) <=> ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17423,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1)))),
% 25.48/16.84 inference(monotonicity,[status(thm)],[17422])).
% 25.48/16.84 tff(17424,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1))),
% 25.48/16.84 inference(transitivity,[status(thm)],[17423, 17421])).
% 25.48/16.84 tff(17425,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB145) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17426,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB145, bitIndex1)) | v26(constB145) | v124(constB145, bitIndex1)),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17425, 17424])).
% 25.48/16.84 tff(17427,plain,
% 25.48/16.84 ((~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17426, 476, 16593])).
% 25.48/16.84 tff(17428,plain,
% 25.48/16.84 (~v121(constB145, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17427, 17420])).
% 25.48/16.84 tff(17429,plain,
% 25.48/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17430,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17431,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 25.48/16.84 tff(17432,plain,
% 25.48/16.84 (v121(constB145, bitIndex1) | (~v123(constB146, bitIndex1))),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17431, 494, 16604])).
% 25.48/16.84 tff(17433,plain,
% 25.48/16.84 (~v123(constB146, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17432, 17428])).
% 25.48/16.84 tff(17434,plain,
% 25.48/16.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17435,plain,
% 25.48/16.84 (((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1)) <=> ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17436,plain,
% 25.48/16.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146))))),
% 25.48/16.84 inference(monotonicity,[status(thm)],[17435])).
% 25.48/16.84 tff(17437,plain,
% 25.48/16.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146)))),
% 25.48/16.84 inference(transitivity,[status(thm)],[17436, 17434])).
% 25.48/16.84 tff(17438,plain,
% 25.48/16.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB146, bitIndex1)) | (~v94(constB146)) | v123(constB146, bitIndex1))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17439,plain,
% 25.48/16.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1) | (~v94(constB146))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17438, 17437])).
% 25.48/16.84 tff(17440,plain,
% 25.48/16.84 ((~v84(constB146, bitIndex1)) | (~v94(constB146))),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17439, 509, 17433])).
% 25.48/16.84 tff(17441,plain,
% 25.48/16.84 (~v84(constB146, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17440, 17407])).
% 25.48/16.84 tff(17442,plain,
% 25.48/16.84 (~v84(constB147, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17319, 17441])).
% 25.48/16.84 tff(17443,plain,
% 25.48/16.84 (v94(constB148)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17255, 17442, 17286])).
% 25.48/16.84 tff(17444,plain,
% 25.48/16.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17445,plain,
% 25.48/16.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17446,plain,
% 25.48/16.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2) | (~v94(constB148))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17445, 17444])).
% 25.48/16.84 tff(17447,plain,
% 25.48/16.84 (v123(constB148, bitIndex2) | (~v94(constB148))),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17446, 423, 17284])).
% 25.48/16.84 tff(17448,plain,
% 25.48/16.84 (v123(constB148, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17447, 17443])).
% 25.48/16.84 tff(17449,plain,
% 25.48/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17450,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17451,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17450, 17449])).
% 25.48/16.84 tff(17452,plain,
% 25.48/16.84 (v121(constB147, bitIndex2) | (~v123(constB148, bitIndex2))),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17451, 408, 17088])).
% 25.48/16.84 tff(17453,plain,
% 25.48/16.84 (v121(constB147, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17452, 17448])).
% 25.48/16.84 tff(17454,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17455,plain,
% 25.48/16.84 ((v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2))) <=> ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17456,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2)))),
% 25.48/16.84 inference(monotonicity,[status(thm)],[17455])).
% 25.48/16.84 tff(17457,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2))),
% 25.48/16.84 inference(transitivity,[status(thm)],[17456, 17454])).
% 25.48/16.84 tff(17458,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB147) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17459,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB147, bitIndex2)) | v26(constB147) | v124(constB147, bitIndex2)),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17458, 17457])).
% 25.48/16.84 tff(17460,plain,
% 25.48/16.84 ((~v121(constB147, bitIndex2)) | v124(constB147, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17459, 390, 17077])).
% 25.48/16.84 tff(17461,plain,
% 25.48/16.84 (v124(constB147, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17460, 17453])).
% 25.48/16.84 tff(17462,plain,
% 25.48/16.84 (~v124(constB145, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16588, 2043, 17413, 17412, 17411, 17410, 17409, 17408])).
% 25.48/16.84 tff(17463,plain,
% 25.48/16.84 (~v121(constB145, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16600, 17462])).
% 25.48/16.84 tff(17464,plain,
% 25.48/16.84 (~v123(constB146, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16608, 17463])).
% 25.48/16.84 tff(17465,plain,
% 25.48/16.84 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17466,plain,
% 25.48/16.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17467,plain,
% 25.48/16.84 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | (~v94(constB146))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17466, 17465])).
% 25.48/16.84 tff(17468,plain,
% 25.48/16.84 ((~v84(constB146, bitIndex2)) | (~v94(constB146))),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17467, 423, 17464])).
% 25.48/16.84 tff(17469,plain,
% 25.48/16.84 (~v84(constB146, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17468, 17407])).
% 25.48/16.84 tff(17470,plain,
% 25.48/16.84 (~v84(constB147, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17328, 17469])).
% 25.48/16.84 tff(17471,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17472,plain,
% 25.48/16.84 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0)) <=> (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17473,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0)))),
% 25.48/16.84 inference(monotonicity,[status(thm)],[17472])).
% 25.48/16.84 tff(17474,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0))),
% 25.48/16.84 inference(transitivity,[status(thm)],[17473, 17471])).
% 25.48/16.84 tff(17475,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | v124(constB145, bitIndex0))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17476,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v113(constB145) | v124(constB145, bitIndex0)),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17475, 17474])).
% 25.48/16.84 tff(17477,plain,
% 25.48/16.84 (v124(constB145, bitIndex0)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17476, 2152, 17413, 17412, 17411, 17410, 17409, 17408])).
% 25.48/16.84 tff(17478,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17479,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17480,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB145) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 25.48/16.84 tff(17481,plain,
% 25.48/16.84 ((~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17480, 547, 16593])).
% 25.48/16.84 tff(17482,plain,
% 25.48/16.84 (v121(constB145, bitIndex0)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17481, 17477])).
% 25.48/16.84 tff(17483,plain,
% 25.48/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17484,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17485,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0)),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17484, 17483])).
% 25.48/16.84 tff(17486,plain,
% 25.48/16.84 ((~v121(constB145, bitIndex0)) | v123(constB146, bitIndex0)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17485, 562, 16604])).
% 25.48/16.84 tff(17487,plain,
% 25.48/16.84 (v123(constB146, bitIndex0)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17486, 17482])).
% 25.48/16.84 tff(17488,plain,
% 25.48/16.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17489,plain,
% 25.48/16.84 ((v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0))) <=> (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17490,plain,
% 25.48/16.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146))))),
% 25.48/16.84 inference(monotonicity,[status(thm)],[17489])).
% 25.48/16.84 tff(17491,plain,
% 25.48/16.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146)))),
% 25.48/16.84 inference(transitivity,[status(thm)],[17490, 17488])).
% 25.48/16.84 tff(17492,plain,
% 25.48/16.84 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB146, bitIndex0) | (~v94(constB146)) | (~v123(constB146, bitIndex0)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17493,plain,
% 25.48/16.84 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)) | (~v94(constB146))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17492, 17491])).
% 25.48/16.84 tff(17494,plain,
% 25.48/16.84 (v84(constB146, bitIndex0) | (~v94(constB146))),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17493, 577, 17487])).
% 25.48/16.84 tff(17495,plain,
% 25.48/16.84 (v84(constB146, bitIndex0)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17494, 17407])).
% 25.48/16.84 tff(17496,plain,
% 25.48/16.84 (v84(constB147, bitIndex0)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16926, 17495])).
% 25.48/16.84 tff(17497,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17498,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17499,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147)),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17498, 17497])).
% 25.48/16.84 tff(17500,plain,
% 25.48/16.84 (v145(constB147)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17499, 614, 17496, 17442, 17470])).
% 25.48/16.84 tff(17501,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB147)) | (~v124(constB147, bitIndex2)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17502,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex2)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17503,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB147)) | (~v124(constB147, bitIndex2))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17502, 17501])).
% 25.48/16.84 tff(17504,plain,
% 25.48/16.84 ($false),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17503, 625, 17500, 17461])).
% 25.48/16.84 tff(17505,plain,((~v118(constB143)) | (~v84(constB148, bitIndex2)) | (~v84(constB148, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 25.48/16.84 tff(17506,plain,
% 25.48/16.84 (~v118(constB143)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17505, 17284, 17286])).
% 25.48/16.84 tff(17507,assumption,(v115(constB145)), introduced(assumption)).
% 25.48/16.84 tff(17508,plain,
% 25.48/16.84 (v111(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16859, 961, 17507])).
% 25.48/16.84 tff(17509,plain,
% 25.48/16.84 (v110(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16758, 207, 17508])).
% 25.48/16.84 tff(17510,plain,
% 25.48/16.84 (v109(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16673, 221, 17509])).
% 25.48/16.84 tff(17511,plain,
% 25.48/16.84 (v108(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16666, 235, 17510])).
% 25.48/16.84 tff(17512,plain,
% 25.48/16.84 (v107(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16662, 249, 17511])).
% 25.48/16.84 tff(17513,plain,
% 25.48/16.84 (v106(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16655, 17512])).
% 25.48/16.84 tff(17514,plain,
% 25.48/16.84 (v102(constB145)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16650, 275, 17513])).
% 25.48/16.84 tff(17515,plain,
% 25.48/16.84 (v104(constB146)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16643, 17514])).
% 25.48/16.84 tff(17516,plain,
% 25.48/16.84 (v94(constB146)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16635, 17515])).
% 25.48/16.84 tff(17517,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB145)) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB145)) | (~v124(constB145, bitIndex2)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17518,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB145)) | (~v124(constB145, bitIndex2)))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17519,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB145)) | (~v124(constB145, bitIndex2))),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17518, 17517])).
% 25.48/16.84 tff(17520,plain,
% 25.48/16.84 (~v124(constB145, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17519, 1046, 17507])).
% 25.48/16.84 tff(17521,plain,
% 25.48/16.84 (~v121(constB145, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16600, 17520])).
% 25.48/16.84 tff(17522,plain,
% 25.48/16.84 (~v123(constB146, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[16608, 17521])).
% 25.48/16.84 tff(17523,plain,
% 25.48/16.84 ((~v84(constB146, bitIndex2)) | (~v94(constB146))),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17467, 423, 17522])).
% 25.48/16.84 tff(17524,plain,
% 25.48/16.84 (~v84(constB146, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17523, 17516])).
% 25.48/16.84 tff(17525,plain,
% 25.48/16.84 (~v84(constB147, bitIndex2)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17328, 17524])).
% 25.48/16.84 tff(17526,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB145)) | v124(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB145)) | v124(constB145, bitIndex1))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17527,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB145)) | v124(constB145, bitIndex1))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17528,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB145)) | v124(constB145, bitIndex1)),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 25.48/16.84 tff(17529,plain,
% 25.48/16.84 (v124(constB145, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17528, 1102, 17507])).
% 25.48/16.84 tff(17530,plain,
% 25.48/16.84 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB145) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB145) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17531,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB145) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17532,plain,
% 25.48/16.84 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB145) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1)),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17531, 17530])).
% 25.48/16.84 tff(17533,plain,
% 25.48/16.84 ((~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17532, 812, 16593])).
% 25.48/16.84 tff(17534,plain,
% 25.48/16.84 (v121(constB145, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17533, 17529])).
% 25.48/16.84 tff(17535,plain,
% 25.48/16.84 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17536,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB145, constB146)) | (~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1))),
% 25.48/16.84 inference(quant_inst,[status(thm)],[])).
% 25.48/16.84 tff(17537,plain,
% 25.48/16.84 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB145, constB146)) | (~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1)),
% 25.48/16.84 inference(modus_ponens,[status(thm)],[17536, 17535])).
% 25.48/16.84 tff(17538,plain,
% 25.48/16.84 ((~v121(constB145, bitIndex1)) | v123(constB146, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17537, 827, 16604])).
% 25.48/16.84 tff(17539,plain,
% 25.48/16.84 (v123(constB146, bitIndex1)),
% 25.48/16.84 inference(unit_resolution,[status(thm)],[17538, 17534])).
% 25.48/16.84 tff(17540,plain,
% 25.48/16.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17541,plain,
% 25.48/16.84 ((v84(constB146, bitIndex1) | (~v94(constB146)) | (~v123(constB146, bitIndex1))) <=> (v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146)))),
% 25.48/16.84 inference(rewrite,[status(thm)],[])).
% 25.48/16.84 tff(17542,plain,
% 25.48/16.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v94(constB146)) | (~v123(constB146, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146))))),
% 25.48/16.84 inference(monotonicity,[status(thm)],[17541])).
% 25.48/16.84 tff(17543,plain,
% 25.48/16.84 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v94(constB146)) | (~v123(constB146, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146)))),
% 25.48/16.84 inference(transitivity,[status(thm)],[17542, 17540])).
% 25.48/16.85 tff(17544,plain,
% 25.48/16.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB146, bitIndex1) | (~v94(constB146)) | (~v123(constB146, bitIndex1)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17545,plain,
% 25.48/16.85 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)) | (~v94(constB146))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17544, 17543])).
% 25.48/16.85 tff(17546,plain,
% 25.48/16.85 (v84(constB146, bitIndex1) | (~v94(constB146))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17545, 842, 17539])).
% 25.48/16.85 tff(17547,plain,
% 25.48/16.85 (v84(constB146, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17546, 17516])).
% 25.48/16.85 tff(17548,plain,
% 25.48/16.85 (v84(constB147, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16939, 17547])).
% 25.48/16.85 tff(17549,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB145)) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB145)) | v124(constB145, bitIndex0))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17550,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB145)) | v124(constB145, bitIndex0))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17551,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB145)) | v124(constB145, bitIndex0)),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17550, 17549])).
% 25.48/16.85 tff(17552,plain,
% 25.48/16.85 (v124(constB145, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17551, 1140, 17507])).
% 25.48/16.85 tff(17553,plain,
% 25.48/16.85 (v121(constB145, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17481, 17552])).
% 25.48/16.85 tff(17554,plain,
% 25.48/16.85 (v123(constB146, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17486, 17553])).
% 25.48/16.85 tff(17555,plain,
% 25.48/16.85 (v84(constB146, bitIndex0) | (~v94(constB146))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17493, 577, 17554])).
% 25.48/16.85 tff(17556,plain,
% 25.48/16.85 (v84(constB146, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17555, 17516])).
% 25.48/16.85 tff(17557,plain,
% 25.48/16.85 (v84(constB147, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16926, 17556])).
% 25.48/16.85 tff(17558,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB147, bitIndex0)) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v116(constB147))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB147, bitIndex0)) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v116(constB147))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17559,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB147, bitIndex0)) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v116(constB147))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17560,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB147, bitIndex0)) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v116(constB147)),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17559, 17558])).
% 25.48/16.85 tff(17561,plain,
% 25.48/16.85 (v116(constB147)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17560, 1181, 17557, 17548, 17525])).
% 25.48/16.85 tff(17562,plain,
% 25.48/16.85 (v94(constB148)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17282, 17525, 17284])).
% 25.48/16.85 tff(17563,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17564,plain,
% 25.48/16.85 (((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0)) <=> ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17565,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148))))),
% 25.48/16.85 inference(monotonicity,[status(thm)],[17564])).
% 25.48/16.85 tff(17566,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148)))),
% 25.48/16.85 inference(transitivity,[status(thm)],[17565, 17563])).
% 25.48/16.85 tff(17567,plain,
% 25.48/16.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB148, bitIndex0)) | (~v94(constB148)) | v123(constB148, bitIndex0))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17568,plain,
% 25.48/16.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0) | (~v94(constB148))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17567, 17566])).
% 25.48/16.85 tff(17569,plain,
% 25.48/16.85 (v123(constB148, bitIndex0) | (~v94(constB148))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17568, 923, 17330])).
% 25.48/16.85 tff(17570,plain,
% 25.48/16.85 (v123(constB148, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17569, 17562])).
% 25.48/16.85 tff(17571,plain,
% 25.48/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17572,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17573,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB147, constB148)) | v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17572, 17571])).
% 25.48/16.85 tff(17574,plain,
% 25.48/16.85 (v121(constB147, bitIndex0) | (~v123(constB148, bitIndex0))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17573, 908, 17088])).
% 25.48/16.85 tff(17575,plain,
% 25.48/16.85 (v121(constB147, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17574, 17570])).
% 25.48/16.85 tff(17576,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17577,plain,
% 25.48/16.85 ((v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0))) <=> ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17578,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0)))),
% 25.48/16.85 inference(monotonicity,[status(thm)],[17577])).
% 25.48/16.85 tff(17579,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0))),
% 25.48/16.85 inference(transitivity,[status(thm)],[17578, 17576])).
% 25.48/16.85 tff(17580,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB147) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17581,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB147, bitIndex0)) | v26(constB147) | v124(constB147, bitIndex0)),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17580, 17579])).
% 25.48/16.85 tff(17582,plain,
% 25.48/16.85 ((~v121(constB147, bitIndex0)) | v124(constB147, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17581, 890, 17077])).
% 25.48/16.85 tff(17583,plain,
% 25.48/16.85 (v124(constB147, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17582, 17575])).
% 25.48/16.85 tff(17584,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB147)) | (~v124(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB147)) | (~v124(constB147, bitIndex0)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17585,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB147)) | (~v124(constB147, bitIndex0)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17586,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB147)) | (~v124(constB147, bitIndex0))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17585, 17584])).
% 25.48/16.85 tff(17587,plain,
% 25.48/16.85 ($false),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17586, 1410, 17583, 17561])).
% 25.48/16.85 tff(17588,plain,((~v115(constB145)) | (~v84(constB148, bitIndex0)) | (~v84(constB148, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 25.48/16.85 tff(17589,plain,
% 25.48/16.85 (~v115(constB145)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17588, 17330, 17284])).
% 25.48/16.85 tff(17590,assumption,(v94(constB146)), introduced(assumption)).
% 25.48/16.85 tff(17591,plain,
% 25.48/16.85 (v123(constB146, bitIndex2) | (~v94(constB146))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17467, 423, 16800])).
% 25.48/16.85 tff(17592,plain,
% 25.48/16.85 (v123(constB146, bitIndex2)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17591, 17590])).
% 25.48/16.85 tff(17593,plain,
% 25.48/16.85 (v121(constB145, bitIndex2)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16608, 17592])).
% 25.48/16.85 tff(17594,plain,
% 25.48/16.85 (v124(constB145, bitIndex2)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16600, 17593])).
% 25.48/16.85 tff(17595,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB145)) | (~v124(constB145, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB145)) | (~v124(constB145, bitIndex2)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17596,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB145)) | (~v124(constB145, bitIndex2)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17597,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB145)) | (~v124(constB145, bitIndex2))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17596, 17595])).
% 25.48/16.85 tff(17598,plain,
% 25.48/16.85 (~v113(constB145)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17597, 376, 17594])).
% 25.48/16.85 tff(17599,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0) | (~v94(constB146)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0) | (~v94(constB146)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17600,plain,
% 25.48/16.85 (((~v84(constB146, bitIndex0)) | (~v94(constB146)) | v123(constB146, bitIndex0)) <=> ((~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0) | (~v94(constB146)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17601,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~v94(constB146)) | v123(constB146, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0) | (~v94(constB146))))),
% 25.48/16.85 inference(monotonicity,[status(thm)],[17600])).
% 25.48/16.85 tff(17602,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~v94(constB146)) | v123(constB146, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0) | (~v94(constB146)))),
% 25.48/16.85 inference(transitivity,[status(thm)],[17601, 17599])).
% 25.48/16.85 tff(17603,plain,
% 25.48/16.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB146, bitIndex0)) | (~v94(constB146)) | v123(constB146, bitIndex0))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17604,plain,
% 25.48/16.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0) | (~v94(constB146))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17603, 17602])).
% 25.48/16.85 tff(17605,plain,
% 25.48/16.85 (v123(constB146, bitIndex0) | (~v94(constB146))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17604, 923, 16731])).
% 25.48/16.85 tff(17606,plain,
% 25.48/16.85 (v123(constB146, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17605, 17590])).
% 25.48/16.85 tff(17607,plain,
% 25.48/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex0) | (~v123(constB146, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex0) | (~v123(constB146, bitIndex0)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17608,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB145, constB146)) | v121(constB145, bitIndex0) | (~v123(constB146, bitIndex0)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17609,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB145, constB146)) | v121(constB145, bitIndex0) | (~v123(constB146, bitIndex0))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17608, 17607])).
% 25.48/16.85 tff(17610,plain,
% 25.48/16.85 (v121(constB145, bitIndex0) | (~v123(constB146, bitIndex0))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17609, 908, 16604])).
% 25.48/16.85 tff(17611,plain,
% 25.48/16.85 (v121(constB145, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17610, 17606])).
% 25.48/16.85 tff(17612,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB145, bitIndex0)) | v26(constB145) | v124(constB145, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB145, bitIndex0)) | v26(constB145) | v124(constB145, bitIndex0))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17613,plain,
% 25.48/16.85 ((v26(constB145) | v124(constB145, bitIndex0) | (~v121(constB145, bitIndex0))) <=> ((~v121(constB145, bitIndex0)) | v26(constB145) | v124(constB145, bitIndex0))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17614,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB145) | v124(constB145, bitIndex0) | (~v121(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB145, bitIndex0)) | v26(constB145) | v124(constB145, bitIndex0)))),
% 25.48/16.85 inference(monotonicity,[status(thm)],[17613])).
% 25.48/16.85 tff(17615,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB145) | v124(constB145, bitIndex0) | (~v121(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB145, bitIndex0)) | v26(constB145) | v124(constB145, bitIndex0))),
% 25.48/16.85 inference(transitivity,[status(thm)],[17614, 17612])).
% 25.48/16.85 tff(17616,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB145) | v124(constB145, bitIndex0) | (~v121(constB145, bitIndex0)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17617,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB145, bitIndex0)) | v26(constB145) | v124(constB145, bitIndex0)),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17616, 17615])).
% 25.48/16.85 tff(17618,plain,
% 25.48/16.85 ((~v121(constB145, bitIndex0)) | v124(constB145, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17617, 890, 16593])).
% 25.48/16.85 tff(17619,plain,
% 25.48/16.85 (v124(constB145, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17618, 17611])).
% 25.48/16.85 tff(17620,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB145)) | (~v124(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB145)) | (~v124(constB145, bitIndex0)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17621,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB145)) | (~v124(constB145, bitIndex0)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17622,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB145)) | (~v124(constB145, bitIndex0))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17621, 17620])).
% 25.48/16.85 tff(17623,plain,
% 25.48/16.85 (~v118(constB145)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17622, 1855, 17619])).
% 25.48/16.85 tff(17624,assumption,(v84(constB146, bitIndex1)), introduced(assumption)).
% 25.48/16.85 tff(17625,plain,
% 25.48/16.85 (v123(constB146, bitIndex1) | (~v94(constB146))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17439, 509, 17624])).
% 25.48/16.85 tff(17626,plain,
% 25.48/16.85 (v123(constB146, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17625, 17590])).
% 25.48/16.85 tff(17627,plain,
% 25.48/16.85 (v121(constB145, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17432, 17626])).
% 25.48/16.85 tff(17628,plain,
% 25.48/16.85 (v124(constB145, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17427, 17627])).
% 25.48/16.85 tff(17629,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB145)) | (~v124(constB145, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB145)) | (~v124(constB145, bitIndex1)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17630,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB145)) | (~v124(constB145, bitIndex1)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17631,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB145)) | (~v124(constB145, bitIndex1))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17630, 17629])).
% 25.48/16.85 tff(17632,plain,
% 25.48/16.85 (~v172(constB145)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17631, 1595, 17628])).
% 25.48/16.85 tff(17633,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB145)) | (~v124(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB145)) | (~v124(constB145, bitIndex0)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17634,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB145)) | (~v124(constB145, bitIndex0)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17635,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB145)) | (~v124(constB145, bitIndex0))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17634, 17633])).
% 25.48/16.85 tff(17636,plain,
% 25.48/16.85 (~v116(constB145)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17635, 1410, 17619])).
% 25.48/16.85 tff(17637,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB145)) | (~v124(constB145, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB145)) | (~v124(constB145, bitIndex0)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17638,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB145)) | (~v124(constB145, bitIndex0)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17639,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB145)) | (~v124(constB145, bitIndex0))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17638, 17637])).
% 25.48/16.85 tff(17640,plain,
% 25.48/16.85 (~v145(constB145)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17639, 876, 17619])).
% 25.48/16.85 tff(17641,plain,
% 25.48/16.85 (v145(constB145) | v172(constB145) | v118(constB145) | v116(constB145) | v113(constB145) | (~v124(constB145, bitIndex2))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16588, 2043, 16869])).
% 25.48/16.85 tff(17642,plain,
% 25.48/16.85 ($false),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17641, 17640, 17636, 17594, 17632, 17623, 17598])).
% 25.48/16.85 tff(17643,plain,((~v94(constB146)) | v115(constB145) | (~v84(constB146, bitIndex1)) | (~v84(constB146, bitIndex2)) | (~v84(constB146, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.48/16.85 tff(17644,plain,
% 25.48/16.85 (~v94(constB146)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17643, 17320, 17589, 17329, 17347])).
% 25.48/16.85 tff(17645,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB143)) | v84(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB143)) | v84(constB143, bitIndex0))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17646,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v116(constB143)) | v84(constB143, bitIndex0))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17647,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v116(constB143)) | v84(constB143, bitIndex0)),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17646, 17645])).
% 25.48/16.85 tff(17648,plain,
% 25.48/16.85 (~v116(constB143)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17647, 4826, 17348])).
% 25.48/16.85 tff(17649,plain,
% 25.48/16.85 (v84(constB145, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16845, 16610, 17624])).
% 25.48/16.85 tff(17650,plain,
% 25.48/16.85 (v84(constB144, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16898, 17649])).
% 25.48/16.85 tff(17651,plain,
% 25.48/16.85 (v84(constB145, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16738, 16610, 16731])).
% 25.48/16.85 tff(17652,plain,
% 25.48/16.85 (v84(constB144, bitIndex0)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17400, 17651])).
% 25.48/16.85 tff(17653,plain,
% 25.48/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex0)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17654,plain,
% 25.48/16.85 (((~nextState(constB143, constB144)) | v84(constB143, bitIndex0) | v94(constB144) | (~v84(constB144, bitIndex0))) <=> (v84(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex0)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17655,plain,
% 25.48/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v84(constB143, bitIndex0) | v94(constB144) | (~v84(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex0))))),
% 25.48/16.85 inference(monotonicity,[status(thm)],[17654])).
% 25.48/16.85 tff(17656,plain,
% 25.48/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v84(constB143, bitIndex0) | v94(constB144) | (~v84(constB144, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex0)))),
% 25.48/16.85 inference(transitivity,[status(thm)],[17655, 17653])).
% 25.48/16.85 tff(17657,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB143, constB144)) | v84(constB143, bitIndex0) | v94(constB144) | (~v84(constB144, bitIndex0)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17658,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB143, bitIndex0) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex0))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17657, 17656])).
% 25.48/16.85 tff(17659,plain,
% 25.48/16.85 (v84(constB143, bitIndex0) | v94(constB144) | (~v84(constB144, bitIndex0))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17658, 147, 16444])).
% 25.48/16.85 tff(17660,plain,
% 25.48/16.85 (v94(constB144)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17659, 17652, 17348])).
% 25.48/16.85 tff(17661,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1) | (~v94(constB144)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1) | (~v94(constB144)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17662,plain,
% 25.48/16.85 (((~v84(constB144, bitIndex1)) | (~v94(constB144)) | v123(constB144, bitIndex1)) <=> ((~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1) | (~v94(constB144)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17663,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~v94(constB144)) | v123(constB144, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1) | (~v94(constB144))))),
% 25.48/16.85 inference(monotonicity,[status(thm)],[17662])).
% 25.48/16.85 tff(17664,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~v94(constB144)) | v123(constB144, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1) | (~v94(constB144)))),
% 25.48/16.85 inference(transitivity,[status(thm)],[17663, 17661])).
% 25.48/16.85 tff(17665,plain,
% 25.48/16.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB144, bitIndex1)) | (~v94(constB144)) | v123(constB144, bitIndex1))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17666,plain,
% 25.48/16.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1) | (~v94(constB144))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17665, 17664])).
% 25.48/16.85 tff(17667,plain,
% 25.48/16.85 (v123(constB144, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17666, 509, 17660, 17650])).
% 25.48/16.85 tff(17668,plain,
% 25.48/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex1) | (~v123(constB144, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex1) | (~v123(constB144, bitIndex1)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17669,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex1) | (~v123(constB144, bitIndex1)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17670,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex1) | (~v123(constB144, bitIndex1))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17669, 17668])).
% 25.48/16.85 tff(17671,plain,
% 25.48/16.85 (v121(constB143, bitIndex1) | (~v123(constB144, bitIndex1))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17670, 494, 16444])).
% 25.48/16.85 tff(17672,plain,
% 25.48/16.85 (v121(constB143, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17671, 17667])).
% 25.48/16.85 tff(17673,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB143, bitIndex1)) | v26(constB143) | v124(constB143, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB143, bitIndex1)) | v26(constB143) | v124(constB143, bitIndex1))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17674,plain,
% 25.48/16.85 ((v26(constB143) | v124(constB143, bitIndex1) | (~v121(constB143, bitIndex1))) <=> ((~v121(constB143, bitIndex1)) | v26(constB143) | v124(constB143, bitIndex1))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17675,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB143) | v124(constB143, bitIndex1) | (~v121(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB143, bitIndex1)) | v26(constB143) | v124(constB143, bitIndex1)))),
% 25.48/16.85 inference(monotonicity,[status(thm)],[17674])).
% 25.48/16.85 tff(17676,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB143) | v124(constB143, bitIndex1) | (~v121(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB143, bitIndex1)) | v26(constB143) | v124(constB143, bitIndex1))),
% 25.48/16.85 inference(transitivity,[status(thm)],[17675, 17673])).
% 25.48/16.85 tff(17677,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB143) | v124(constB143, bitIndex1) | (~v121(constB143, bitIndex1)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17678,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB143, bitIndex1)) | v26(constB143) | v124(constB143, bitIndex1)),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17677, 17676])).
% 25.48/16.85 tff(17679,plain,
% 25.48/16.85 ((~v121(constB143, bitIndex1)) | v124(constB143, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17678, 476, 16426])).
% 25.48/16.85 tff(17680,plain,
% 25.48/16.85 (v124(constB143, bitIndex1)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17679, 17672])).
% 25.48/16.85 tff(17681,assumption,(~v113(constB143)), introduced(assumption)).
% 25.48/16.85 tff(17682,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB143)) | v84(constB143, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB143)) | v84(constB143, bitIndex0))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17683,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB143)) | v84(constB143, bitIndex0))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17684,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB143)) | v84(constB143, bitIndex0)),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17683, 17682])).
% 25.48/16.85 tff(17685,plain,
% 25.48/16.85 (~v145(constB143)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17684, 4848, 17348])).
% 25.48/16.85 tff(17686,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB143)) | (~v124(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB143)) | (~v124(constB143, bitIndex1)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17687,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB143)) | (~v124(constB143, bitIndex1)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17688,plain,
% 25.48/16.85 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB143)) | (~v124(constB143, bitIndex1))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17687, 17686])).
% 25.48/16.85 tff(17689,plain,
% 25.48/16.85 (~v172(constB143)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17688, 1595, 17680])).
% 25.48/16.85 tff(17690,plain,
% 25.48/16.85 (v84(constB145, bitIndex2)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16792, 16610, 16800])).
% 25.48/16.85 tff(17691,plain,
% 25.48/16.85 (v84(constB144, bitIndex2)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[16889, 17690])).
% 25.48/16.85 tff(17692,plain,
% 25.48/16.85 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB144, bitIndex2)) | v123(constB144, bitIndex2) | (~v94(constB144)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB144, bitIndex2)) | v123(constB144, bitIndex2) | (~v94(constB144)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17693,plain,
% 25.48/16.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB144, bitIndex2)) | v123(constB144, bitIndex2) | (~v94(constB144)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17694,plain,
% 25.48/16.85 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB144, bitIndex2)) | v123(constB144, bitIndex2) | (~v94(constB144))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17693, 17692])).
% 25.48/16.85 tff(17695,plain,
% 25.48/16.85 (v123(constB144, bitIndex2)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17694, 423, 17660, 17691])).
% 25.48/16.85 tff(17696,plain,
% 25.48/16.85 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex2) | (~v123(constB144, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex2) | (~v123(constB144, bitIndex2)))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17697,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v121(constB143, bitIndex2) | (~v123(constB144, bitIndex2)))),
% 25.48/16.85 inference(quant_inst,[status(thm)],[])).
% 25.48/16.85 tff(17698,plain,
% 25.48/16.85 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB143, constB144)) | v121(constB143, bitIndex2) | (~v123(constB144, bitIndex2))),
% 25.48/16.85 inference(modus_ponens,[status(thm)],[17697, 17696])).
% 25.48/16.85 tff(17699,plain,
% 25.48/16.85 (v121(constB143, bitIndex2) | (~v123(constB144, bitIndex2))),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17698, 408, 16444])).
% 25.48/16.85 tff(17700,plain,
% 25.48/16.85 (v121(constB143, bitIndex2)),
% 25.48/16.85 inference(unit_resolution,[status(thm)],[17699, 17695])).
% 25.48/16.85 tff(17701,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB143, bitIndex2)) | v26(constB143) | v124(constB143, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB143, bitIndex2)) | v26(constB143) | v124(constB143, bitIndex2))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17702,plain,
% 25.48/16.85 ((v26(constB143) | v124(constB143, bitIndex2) | (~v121(constB143, bitIndex2))) <=> ((~v121(constB143, bitIndex2)) | v26(constB143) | v124(constB143, bitIndex2))),
% 25.48/16.85 inference(rewrite,[status(thm)],[])).
% 25.48/16.85 tff(17703,plain,
% 25.48/16.85 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB143) | v124(constB143, bitIndex2) | (~v121(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB143, bitIndex2)) | v26(constB143) | v124(constB143, bitIndex2)))),
% 25.48/16.86 inference(monotonicity,[status(thm)],[17702])).
% 25.48/16.86 tff(17704,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB143) | v124(constB143, bitIndex2) | (~v121(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB143, bitIndex2)) | v26(constB143) | v124(constB143, bitIndex2))),
% 25.48/16.86 inference(transitivity,[status(thm)],[17703, 17701])).
% 25.48/16.86 tff(17705,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB143) | v124(constB143, bitIndex2) | (~v121(constB143, bitIndex2)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17706,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB143, bitIndex2)) | v26(constB143) | v124(constB143, bitIndex2)),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17705, 17704])).
% 25.48/16.86 tff(17707,plain,
% 25.48/16.86 ((~v121(constB143, bitIndex2)) | v124(constB143, bitIndex2)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17706, 390, 16426])).
% 25.48/16.86 tff(17708,plain,
% 25.48/16.86 (v124(constB143, bitIndex2)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17707, 17700])).
% 25.48/16.86 tff(17709,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB143)) | (~v124(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB143)) | (~v124(constB143, bitIndex2)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17710,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB143)) | (~v124(constB143, bitIndex2)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17711,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB143)) | (~v124(constB143, bitIndex2))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17710, 17709])).
% 25.48/16.86 tff(17712,plain,
% 25.48/16.86 (~v115(constB143)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17711, 1046, 17708])).
% 25.48/16.86 tff(17713,assumption,(~v118(constB143)), introduced(assumption)).
% 25.48/16.86 tff(17714,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB143) | v172(constB143) | v118(constB143) | v116(constB143) | v113(constB143) | v115(constB143) | (~v124(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB143) | v172(constB143) | v118(constB143) | v116(constB143) | v113(constB143) | v115(constB143) | (~v124(constB143, bitIndex1)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17715,plain,
% 25.48/16.86 ((v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | (~v124(constB143, bitIndex1))) <=> (v145(constB143) | v172(constB143) | v118(constB143) | v116(constB143) | v113(constB143) | v115(constB143) | (~v124(constB143, bitIndex1)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17716,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | (~v124(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB143) | v172(constB143) | v118(constB143) | v116(constB143) | v113(constB143) | v115(constB143) | (~v124(constB143, bitIndex1))))),
% 25.48/16.86 inference(monotonicity,[status(thm)],[17715])).
% 25.48/16.86 tff(17717,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | (~v124(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB143) | v172(constB143) | v118(constB143) | v116(constB143) | v113(constB143) | v115(constB143) | (~v124(constB143, bitIndex1)))),
% 25.48/16.86 inference(transitivity,[status(thm)],[17716, 17714])).
% 25.48/16.86 tff(17718,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | (~v124(constB143, bitIndex1)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17719,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB143) | v172(constB143) | v118(constB143) | v116(constB143) | v113(constB143) | v115(constB143) | (~v124(constB143, bitIndex1))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17718, 17717])).
% 25.48/16.86 tff(17720,plain,
% 25.48/16.86 (v145(constB143) | v172(constB143) | v116(constB143) | v113(constB143) | v115(constB143) | (~v124(constB143, bitIndex1))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17719, 2105, 17713])).
% 25.48/16.86 tff(17721,plain,
% 25.48/16.86 ($false),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17720, 17712, 17689, 17685, 17681, 17680, 17648])).
% 25.48/16.86 tff(17722,plain,(v94(constB146) | v113(constB143) | v118(constB143) | v84(constB143, bitIndex0) | (~v84(constB146, bitIndex0)) | (~v84(constB146, bitIndex2)) | (~v84(constB146, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 25.48/16.86 tff(17723,plain,
% 25.48/16.86 (v113(constB143)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17722, 17644, 17506, 17348, 17347, 17329, 17320])).
% 25.48/16.86 tff(17724,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB143)) | (~v124(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB143)) | (~v124(constB143, bitIndex1)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17725,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB143)) | (~v124(constB143, bitIndex1)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17726,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB143)) | (~v124(constB143, bitIndex1))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17725, 17724])).
% 25.48/16.86 tff(17727,plain,
% 25.48/16.86 (~v124(constB143, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17726, 462, 17723])).
% 25.48/16.86 tff(17728,plain,
% 25.48/16.86 (v84(constB145, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[16845, 17644, 17320])).
% 25.48/16.86 tff(17729,plain,
% 25.48/16.86 (v84(constB144, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[16898, 17728])).
% 25.48/16.86 tff(17730,plain,
% 25.48/16.86 (v84(constB145, bitIndex0)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[16738, 17644, 17347])).
% 25.48/16.86 tff(17731,plain,
% 25.48/16.86 (v84(constB144, bitIndex0)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17400, 17730])).
% 25.48/16.86 tff(17732,plain,
% 25.48/16.86 (v94(constB144)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17659, 17731, 17348])).
% 25.48/16.86 tff(17733,plain,
% 25.48/16.86 (v123(constB144, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17666, 509, 17732, 17729])).
% 25.48/16.86 tff(17734,plain,
% 25.48/16.86 (v121(constB143, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17671, 17733])).
% 25.48/16.86 tff(17735,plain,
% 25.48/16.86 ($false),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17679, 17734, 17727])).
% 25.48/16.86 tff(17736,plain,(v94(constB148) | v84(constB143, bitIndex0) | (~v84(constB148, bitIndex1)) | (~v84(constB148, bitIndex2)) | (~v84(constB148, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.48/16.86 tff(17737,plain,
% 25.48/16.86 (v84(constB143, bitIndex0)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17736, 17101, 17311, 17310, 17309])).
% 25.48/16.86 tff(17738,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17739,plain,
% 25.48/16.86 (((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0))) <=> (v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17740,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0))))),
% 25.48/16.86 inference(monotonicity,[status(thm)],[17739])).
% 25.48/16.86 tff(17741,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 25.48/16.86 inference(transitivity,[status(thm)],[17740, 17738])).
% 25.48/16.86 tff(17742,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17743,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB142, bitIndex0) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex0))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17742, 17741])).
% 25.48/16.86 tff(17744,plain,
% 25.48/16.86 (v84(constB142, bitIndex0) | v94(constB143) | (~v84(constB143, bitIndex0))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17743, 147, 16240])).
% 25.48/16.86 tff(17745,plain,
% 25.48/16.86 (v84(constB142, bitIndex0) | (~v84(constB143, bitIndex0))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17744, 16252])).
% 25.48/16.86 tff(17746,plain,
% 25.48/16.86 (v84(constB142, bitIndex0)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17745, 17737])).
% 25.48/16.86 tff(17747,assumption,(v84(constB144, bitIndex2)), introduced(assumption)).
% 25.48/16.86 tff(17748,assumption,(~v94(constB144)), introduced(assumption)).
% 25.48/16.86 tff(17749,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex2)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17750,plain,
% 25.48/16.86 (((~nextState(constB143, constB144)) | v84(constB143, bitIndex2) | v94(constB144) | (~v84(constB144, bitIndex2))) <=> (v84(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex2)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17751,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v84(constB143, bitIndex2) | v94(constB144) | (~v84(constB144, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex2))))),
% 25.48/16.86 inference(monotonicity,[status(thm)],[17750])).
% 25.48/16.86 tff(17752,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v84(constB143, bitIndex2) | v94(constB144) | (~v84(constB144, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex2)))),
% 25.48/16.86 inference(transitivity,[status(thm)],[17751, 17749])).
% 25.48/16.86 tff(17753,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB143, constB144)) | v84(constB143, bitIndex2) | v94(constB144) | (~v84(constB144, bitIndex2)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17754,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB143, bitIndex2) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex2))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17753, 17752])).
% 25.48/16.86 tff(17755,plain,
% 25.48/16.86 (v84(constB143, bitIndex2) | v94(constB144) | (~v84(constB144, bitIndex2))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17754, 105, 16444])).
% 25.48/16.86 tff(17756,plain,
% 25.48/16.86 (v84(constB143, bitIndex2)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17755, 17748, 17747])).
% 25.48/16.86 tff(17757,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17758,plain,
% 25.48/16.86 (((~nextState(constB142, constB143)) | v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2))) <=> (v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17759,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2))))),
% 25.48/16.86 inference(monotonicity,[status(thm)],[17758])).
% 25.48/16.86 tff(17760,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2)))),
% 25.48/16.86 inference(transitivity,[status(thm)],[17759, 17757])).
% 25.48/16.86 tff(17761,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB142, constB143)) | v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17762,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB142, bitIndex2) | (~nextState(constB142, constB143)) | v94(constB143) | (~v84(constB143, bitIndex2))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17761, 17760])).
% 25.48/16.86 tff(17763,plain,
% 25.48/16.86 (v84(constB142, bitIndex2) | v94(constB143) | (~v84(constB143, bitIndex2))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17762, 105, 16240])).
% 25.48/16.86 tff(17764,plain,
% 25.48/16.86 (v84(constB142, bitIndex2) | (~v84(constB143, bitIndex2))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17763, 16252])).
% 25.48/16.86 tff(17765,plain,
% 25.48/16.86 (v84(constB142, bitIndex2)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17764, 17756])).
% 25.48/16.86 tff(17766,assumption,(v84(constB142, bitIndex0)), introduced(assumption)).
% 25.48/16.86 tff(17767,assumption,(v84(constB144, bitIndex1)), introduced(assumption)).
% 25.48/16.86 tff(17768,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex1)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17769,plain,
% 25.48/16.86 (((~nextState(constB143, constB144)) | v84(constB143, bitIndex1) | v94(constB144) | (~v84(constB144, bitIndex1))) <=> (v84(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex1)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17770,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v84(constB143, bitIndex1) | v94(constB144) | (~v84(constB144, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex1))))),
% 25.48/16.86 inference(monotonicity,[status(thm)],[17769])).
% 25.48/16.86 tff(17771,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v84(constB143, bitIndex1) | v94(constB144) | (~v84(constB144, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex1)))),
% 25.48/16.86 inference(transitivity,[status(thm)],[17770, 17768])).
% 25.48/16.86 tff(17772,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB143, constB144)) | v84(constB143, bitIndex1) | v94(constB144) | (~v84(constB144, bitIndex1)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17773,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB143, bitIndex1) | (~nextState(constB143, constB144)) | v94(constB144) | (~v84(constB144, bitIndex1))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17772, 17771])).
% 25.48/16.86 tff(17774,plain,
% 25.48/16.86 (v84(constB143, bitIndex1) | v94(constB144) | (~v84(constB144, bitIndex1))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17773, 126, 16444])).
% 25.48/16.86 tff(17775,plain,
% 25.48/16.86 (v84(constB143, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17774, 17748, 17767])).
% 25.48/16.86 tff(17776,plain,
% 25.48/16.86 (v84(constB142, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[16405, 17775])).
% 25.48/16.86 tff(17777,assumption,(v94(constB142)), introduced(assumption)).
% 25.48/16.86 tff(17778,assumption,(v84(constB142, bitIndex2)), introduced(assumption)).
% 25.48/16.86 tff(17779,plain,
% 25.48/16.86 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2) | (~v94(constB142)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17780,plain,
% 25.48/16.86 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2) | (~v94(constB142)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17781,plain,
% 25.48/16.86 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2) | (~v94(constB142))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17780, 17779])).
% 25.48/16.86 tff(17782,plain,
% 25.48/16.86 (v123(constB142, bitIndex2) | (~v94(constB142))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17781, 423, 17778])).
% 25.48/16.86 tff(17783,plain,
% 25.48/16.86 (v123(constB142, bitIndex2)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17782, 17777])).
% 25.48/16.86 tff(17784,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17785,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17786,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17785, 17784])).
% 25.48/16.86 tff(17787,plain,
% 25.48/16.86 (v121(constB141, bitIndex2) | (~v123(constB142, bitIndex2))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17786, 408, 16024])).
% 25.48/16.86 tff(17788,plain,
% 25.48/16.86 (v121(constB141, bitIndex2)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17787, 17783])).
% 25.48/16.86 tff(17789,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17790,plain,
% 25.48/16.86 ((v26(constB141) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2))) <=> ((~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17791,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB141) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2)))),
% 25.48/16.86 inference(monotonicity,[status(thm)],[17790])).
% 25.48/16.86 tff(17792,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB141) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2))),
% 25.48/16.86 inference(transitivity,[status(thm)],[17791, 17789])).
% 25.48/16.86 tff(17793,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB141) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17794,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB141, bitIndex2)) | v26(constB141) | v124(constB141, bitIndex2)),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17793, 17792])).
% 25.48/16.86 tff(17795,plain,
% 25.48/16.86 ((~v121(constB141, bitIndex2)) | v124(constB141, bitIndex2)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17794, 390, 16016])).
% 25.48/16.86 tff(17796,plain,
% 25.48/16.86 (v124(constB141, bitIndex2)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17795, 17788])).
% 25.48/16.86 tff(17797,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB141)) | (~v124(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB141)) | (~v124(constB141, bitIndex2)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17798,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB141)) | (~v124(constB141, bitIndex2)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17799,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB141)) | (~v124(constB141, bitIndex2))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17798, 17797])).
% 25.48/16.86 tff(17800,plain,
% 25.48/16.86 (~v113(constB141)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17799, 376, 17796])).
% 25.48/16.86 tff(17801,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB141)) | (~v124(constB141, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB141)) | (~v124(constB141, bitIndex2)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17802,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB141)) | (~v124(constB141, bitIndex2)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17803,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB141)) | (~v124(constB141, bitIndex2))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17802, 17801])).
% 25.48/16.86 tff(17804,plain,
% 25.48/16.86 (~v115(constB141)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17803, 1046, 17796])).
% 25.48/16.86 tff(17805,plain,
% 25.48/16.86 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17806,plain,
% 25.48/16.86 (((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0)) <=> ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17807,plain,
% 25.48/16.86 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142))))),
% 25.48/16.86 inference(monotonicity,[status(thm)],[17806])).
% 25.48/16.86 tff(17808,plain,
% 25.48/16.86 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142)))),
% 25.48/16.86 inference(transitivity,[status(thm)],[17807, 17805])).
% 25.48/16.86 tff(17809,plain,
% 25.48/16.86 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17810,plain,
% 25.48/16.86 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0) | (~v94(constB142))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17809, 17808])).
% 25.48/16.86 tff(17811,plain,
% 25.48/16.86 (v123(constB142, bitIndex0) | (~v94(constB142))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17810, 923, 17766])).
% 25.48/16.86 tff(17812,plain,
% 25.48/16.86 (v123(constB142, bitIndex0)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17811, 17777])).
% 25.48/16.86 tff(17813,plain,
% 25.48/16.86 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17814,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17815,plain,
% 25.48/16.86 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB141, constB142)) | v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17814, 17813])).
% 25.48/16.86 tff(17816,plain,
% 25.48/16.86 (v121(constB141, bitIndex0) | (~v123(constB142, bitIndex0))),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17815, 908, 16024])).
% 25.48/16.86 tff(17817,plain,
% 25.48/16.86 (v121(constB141, bitIndex0)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17816, 17812])).
% 25.48/16.86 tff(17818,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17819,plain,
% 25.48/16.86 ((v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0))) <=> ((~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17820,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0)))),
% 25.48/16.86 inference(monotonicity,[status(thm)],[17819])).
% 25.48/16.86 tff(17821,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0))),
% 25.48/16.86 inference(transitivity,[status(thm)],[17820, 17818])).
% 25.48/16.86 tff(17822,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB141) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17823,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB141, bitIndex0)) | v26(constB141) | v124(constB141, bitIndex0)),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17822, 17821])).
% 25.48/16.86 tff(17824,plain,
% 25.48/16.86 ((~v121(constB141, bitIndex0)) | v124(constB141, bitIndex0)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17823, 890, 16016])).
% 25.48/16.86 tff(17825,plain,
% 25.48/16.86 (v124(constB141, bitIndex0)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17824, 17817])).
% 25.48/16.86 tff(17826,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB141)) | (~v124(constB141, bitIndex0)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17827,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB141)) | (~v124(constB141, bitIndex0)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17828,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB141)) | (~v124(constB141, bitIndex0))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17827, 17826])).
% 25.48/16.86 tff(17829,plain,
% 25.48/16.86 (~v116(constB141)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17828, 1410, 17825])).
% 25.48/16.86 tff(17830,plain,
% 25.48/16.86 (v123(constB142, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[16377, 17777])).
% 25.48/16.86 tff(17831,plain,
% 25.48/16.86 (v121(constB141, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[16382, 17830])).
% 25.48/16.86 tff(17832,plain,
% 25.48/16.86 (v124(constB141, bitIndex1)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[16390, 17831])).
% 25.48/16.86 tff(17833,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB141)) | (~v124(constB141, bitIndex0)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17834,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB141)) | (~v124(constB141, bitIndex0)))),
% 25.48/16.86 inference(quant_inst,[status(thm)],[])).
% 25.48/16.86 tff(17835,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB141)) | (~v124(constB141, bitIndex0))),
% 25.48/16.86 inference(modus_ponens,[status(thm)],[17834, 17833])).
% 25.48/16.86 tff(17836,plain,
% 25.48/16.86 (~v118(constB141)),
% 25.48/16.86 inference(unit_resolution,[status(thm)],[17835, 1855, 17825])).
% 25.48/16.86 tff(17837,plain,
% 25.48/16.86 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB141)) | (~v124(constB141, bitIndex0)))),
% 25.48/16.86 inference(rewrite,[status(thm)],[])).
% 25.48/16.86 tff(17838,plain,
% 25.48/16.86 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB141)) | (~v124(constB141, bitIndex0)))),
% 25.48/16.87 inference(quant_inst,[status(thm)],[])).
% 25.48/16.87 tff(17839,plain,
% 25.48/16.87 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB141)) | (~v124(constB141, bitIndex0))),
% 25.48/16.87 inference(modus_ponens,[status(thm)],[17838, 17837])).
% 25.48/16.87 tff(17840,plain,
% 25.48/16.87 (~v145(constB141)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17839, 876, 17825])).
% 25.48/16.87 tff(17841,plain,
% 25.48/16.87 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex1)))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17842,plain,
% 25.48/16.87 ((v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~v124(constB141, bitIndex1))) <=> (v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex1)))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17843,plain,
% 25.48/16.87 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~v124(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex1))))),
% 25.48/16.87 inference(monotonicity,[status(thm)],[17842])).
% 25.48/16.87 tff(17844,plain,
% 25.48/16.87 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~v124(constB141, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex1)))),
% 25.48/16.87 inference(transitivity,[status(thm)],[17843, 17841])).
% 25.48/16.87 tff(17845,plain,
% 25.48/16.87 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~v124(constB141, bitIndex1)))),
% 25.48/16.87 inference(quant_inst,[status(thm)],[])).
% 25.48/16.87 tff(17846,plain,
% 25.48/16.87 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB141) | v145(constB141) | v118(constB141) | v116(constB141) | v115(constB141) | v113(constB141) | (~v124(constB141, bitIndex1))),
% 25.48/16.87 inference(modus_ponens,[status(thm)],[17845, 17844])).
% 25.48/16.87 tff(17847,plain,
% 25.48/16.87 (v172(constB141)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17846, 2105, 17840, 17836, 17832, 17829, 17804, 17800])).
% 25.48/16.87 tff(17848,plain,
% 25.48/16.87 ($false),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[16394, 1595, 17832, 17847])).
% 25.48/16.87 tff(17849,plain,((~v94(constB142)) | (~v84(constB142, bitIndex1)) | (~v84(constB142, bitIndex2)) | (~v84(constB142, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.48/16.87 tff(17850,plain,
% 25.48/16.87 (~v94(constB142)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17849, 17776, 17766, 17765])).
% 25.48/16.87 tff(17851,plain,
% 25.48/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2)))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17852,plain,
% 25.48/16.87 (((~nextState(constB141, constB142)) | v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2))) <=> (v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2)))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17853,plain,
% 25.48/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2))))),
% 25.48/16.87 inference(monotonicity,[status(thm)],[17852])).
% 25.48/16.87 tff(17854,plain,
% 25.48/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2)))),
% 25.48/16.87 inference(transitivity,[status(thm)],[17853, 17851])).
% 25.48/16.87 tff(17855,plain,
% 25.48/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB141, constB142)) | v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2)))),
% 25.48/16.87 inference(quant_inst,[status(thm)],[])).
% 25.48/16.87 tff(17856,plain,
% 25.48/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB141, bitIndex2) | (~nextState(constB141, constB142)) | v94(constB142) | (~v84(constB142, bitIndex2))),
% 25.48/16.87 inference(modus_ponens,[status(thm)],[17855, 17854])).
% 25.48/16.87 tff(17857,plain,
% 25.48/16.87 (v84(constB141, bitIndex2) | v94(constB142) | (~v84(constB142, bitIndex2))),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17856, 105, 16024])).
% 25.48/16.87 tff(17858,plain,
% 25.48/16.87 (v84(constB141, bitIndex2)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17857, 17850, 17765])).
% 25.48/16.87 tff(17859,plain,
% 25.48/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17860,plain,
% 25.48/16.87 (((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2))) <=> (v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17861,plain,
% 25.48/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2))))),
% 25.48/16.87 inference(monotonicity,[status(thm)],[17860])).
% 25.48/16.87 tff(17862,plain,
% 25.48/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 25.48/16.87 inference(transitivity,[status(thm)],[17861, 17859])).
% 25.48/16.87 tff(17863,plain,
% 25.48/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB140, constB141)) | v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2)))),
% 25.48/16.87 inference(quant_inst,[status(thm)],[])).
% 25.48/16.87 tff(17864,plain,
% 25.48/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB140, bitIndex2) | (~nextState(constB140, constB141)) | v94(constB141) | (~v84(constB141, bitIndex2))),
% 25.48/16.87 inference(modus_ponens,[status(thm)],[17863, 17862])).
% 25.48/16.87 tff(17865,plain,
% 25.48/16.87 (v84(constB140, bitIndex2) | v94(constB141) | (~v84(constB141, bitIndex2))),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17864, 105, 15732])).
% 25.48/16.87 tff(17866,plain,
% 25.48/16.87 (v84(constB140, bitIndex2) | (~v84(constB141, bitIndex2))),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17865, 15744])).
% 25.48/16.87 tff(17867,plain,
% 25.48/16.87 (v84(constB140, bitIndex2)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17866, 17858])).
% 25.48/16.87 tff(17868,plain,
% 25.48/16.87 (v84(constB141, bitIndex0)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[16396, 17776])).
% 25.48/16.87 tff(17869,plain,
% 25.48/16.87 (v84(constB140, bitIndex0)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[15752, 17868])).
% 25.48/16.87 tff(17870,plain,
% 25.48/16.87 (v84(constB141, bitIndex1)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[16158, 17850, 17776])).
% 25.48/16.87 tff(17871,plain,
% 25.48/16.87 (v84(constB140, bitIndex1)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[15786, 17870])).
% 25.48/16.87 tff(17872,assumption,(v94(constB140)), introduced(assumption)).
% 25.48/16.87 tff(17873,assumption,(v84(constB140, bitIndex2)), introduced(assumption)).
% 25.48/16.87 tff(17874,plain,
% 25.48/16.87 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17875,plain,
% 25.48/16.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140)))),
% 25.48/16.87 inference(quant_inst,[status(thm)],[])).
% 25.48/16.87 tff(17876,plain,
% 25.48/16.87 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2) | (~v94(constB140))),
% 25.48/16.87 inference(modus_ponens,[status(thm)],[17875, 17874])).
% 25.48/16.87 tff(17877,plain,
% 25.48/16.87 (v123(constB140, bitIndex2) | (~v94(constB140))),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17876, 423, 17873])).
% 25.48/16.87 tff(17878,plain,
% 25.48/16.87 (v123(constB140, bitIndex2)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17877, 17872])).
% 25.48/16.87 tff(17879,plain,
% 25.48/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17880,plain,
% 25.48/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 25.48/16.87 inference(quant_inst,[status(thm)],[])).
% 25.48/16.87 tff(17881,plain,
% 25.48/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB139, constB140)) | v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2))),
% 25.48/16.87 inference(modus_ponens,[status(thm)],[17880, 17879])).
% 25.48/16.87 tff(17882,plain,
% 25.48/16.87 (v121(constB139, bitIndex2) | (~v123(constB140, bitIndex2))),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17881, 408, 15667])).
% 25.48/16.87 tff(17883,plain,
% 25.48/16.87 (v121(constB139, bitIndex2)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17882, 17878])).
% 25.48/16.87 tff(17884,plain,
% 25.48/16.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17885,plain,
% 25.48/16.87 ((v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2))) <=> ((~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17886,plain,
% 25.48/16.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2)))),
% 25.48/16.87 inference(monotonicity,[status(thm)],[17885])).
% 25.48/16.87 tff(17887,plain,
% 25.48/16.87 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2))),
% 25.48/16.87 inference(transitivity,[status(thm)],[17886, 17884])).
% 25.48/16.87 tff(17888,plain,
% 25.48/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB139) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))),
% 25.48/16.87 inference(quant_inst,[status(thm)],[])).
% 25.48/16.87 tff(17889,plain,
% 25.48/16.87 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB139, bitIndex2)) | v26(constB139) | v124(constB139, bitIndex2)),
% 25.48/16.87 inference(modus_ponens,[status(thm)],[17888, 17887])).
% 25.48/16.87 tff(17890,plain,
% 25.48/16.87 ((~v121(constB139, bitIndex2)) | v124(constB139, bitIndex2)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17889, 390, 15649])).
% 25.48/16.87 tff(17891,plain,
% 25.48/16.87 (v124(constB139, bitIndex2)),
% 25.48/16.87 inference(unit_resolution,[status(thm)],[17890, 17883])).
% 25.48/16.87 tff(17892,plain,
% 25.48/16.87 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB139)) | (~v124(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB139)) | (~v124(constB139, bitIndex2)))),
% 25.48/16.87 inference(rewrite,[status(thm)],[])).
% 25.48/16.87 tff(17893,plain,
% 25.48/16.87 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v113(constB139)) | (~v124(constB139, bitIndex2)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17894,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v113(constB139)) | (~v124(constB139, bitIndex2))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17893, 17892])).
% 25.56/16.87 tff(17895,plain,
% 25.56/16.87 (~v113(constB139)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17894, 376, 17891])).
% 25.56/16.87 tff(17896,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB139)) | (~v124(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB139)) | (~v124(constB139, bitIndex2)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17897,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB139)) | (~v124(constB139, bitIndex2)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17898,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB139)) | (~v124(constB139, bitIndex2))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17897, 17896])).
% 25.56/16.87 tff(17899,plain,
% 25.56/16.87 (~v115(constB139)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17898, 1046, 17891])).
% 25.56/16.87 tff(17900,assumption,(v84(constB140, bitIndex0)), introduced(assumption)).
% 25.56/16.87 tff(17901,plain,
% 25.56/16.87 (v123(constB140, bitIndex0) | (~v94(constB140))),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15724, 923, 17900])).
% 25.56/16.87 tff(17902,plain,
% 25.56/16.87 (v123(constB140, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17901, 17872])).
% 25.56/16.87 tff(17903,plain,
% 25.56/16.87 (v121(constB139, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15717, 17902])).
% 25.56/16.87 tff(17904,plain,
% 25.56/16.87 (v124(constB139, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15712, 17903])).
% 25.56/16.87 tff(17905,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB139)) | (~v124(constB139, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB139)) | (~v124(constB139, bitIndex0)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17906,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB139)) | (~v124(constB139, bitIndex0)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17907,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB139)) | (~v124(constB139, bitIndex0))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17906, 17905])).
% 25.56/16.87 tff(17908,plain,
% 25.56/16.87 (~v118(constB139)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17907, 1855, 17904])).
% 25.56/16.87 tff(17909,plain,
% 25.56/16.87 (~v116(constB139)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15704, 1410, 17904])).
% 25.56/16.87 tff(17910,assumption,(v84(constB140, bitIndex1)), introduced(assumption)).
% 25.56/16.87 tff(17911,plain,
% 25.56/16.87 (v123(constB140, bitIndex1) | (~v94(constB140))),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15776, 509, 17910])).
% 25.56/16.87 tff(17912,plain,
% 25.56/16.87 (v123(constB140, bitIndex1)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17911, 17872])).
% 25.56/16.87 tff(17913,plain,
% 25.56/16.87 (v121(constB139, bitIndex1)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15769, 17912])).
% 25.56/16.87 tff(17914,plain,
% 25.56/16.87 (v124(constB139, bitIndex1)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15764, 17913])).
% 25.56/16.87 tff(17915,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB139)) | (~v124(constB139, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB139)) | (~v124(constB139, bitIndex2)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17916,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB139)) | (~v124(constB139, bitIndex2)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17917,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB139)) | (~v124(constB139, bitIndex2))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17916, 17915])).
% 25.56/16.87 tff(17918,plain,
% 25.56/16.87 (~v145(constB139)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17917, 625, 17891])).
% 25.56/16.87 tff(17919,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB139, bitIndex1)) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB139, bitIndex1)) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17920,plain,
% 25.56/16.87 ((v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~v124(constB139, bitIndex1))) <=> ((~v124(constB139, bitIndex1)) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17921,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~v124(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB139, bitIndex1)) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139)))),
% 25.56/16.87 inference(monotonicity,[status(thm)],[17920])).
% 25.56/16.87 tff(17922,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~v124(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB139, bitIndex1)) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139))),
% 25.56/16.87 inference(transitivity,[status(thm)],[17921, 17919])).
% 25.56/16.87 tff(17923,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~v124(constB139, bitIndex1)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17924,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB139, bitIndex1)) | v118(constB139) | v145(constB139) | v172(constB139) | v115(constB139) | v116(constB139) | v113(constB139)),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17923, 17922])).
% 25.56/16.87 tff(17925,plain,
% 25.56/16.87 (v172(constB139)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17924, 2105, 17918, 17914, 17909, 17908, 17899, 17895])).
% 25.56/16.87 tff(17926,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB139)) | (~v124(constB139, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB139)) | (~v124(constB139, bitIndex1)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17927,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB139)) | (~v124(constB139, bitIndex1)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17928,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB139)) | (~v124(constB139, bitIndex1))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17927, 17926])).
% 25.56/16.87 tff(17929,plain,
% 25.56/16.87 ($false),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17928, 1595, 17914, 17925])).
% 25.56/16.87 tff(17930,plain,((~v94(constB140)) | (~v84(constB140, bitIndex1)) | (~v84(constB140, bitIndex0)) | (~v84(constB140, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 25.56/16.87 tff(17931,plain,
% 25.56/16.87 (~v94(constB140)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17930, 17871, 17869, 17867])).
% 25.56/16.87 tff(17932,plain,
% 25.56/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17933,plain,
% 25.56/16.87 (((~nextState(constB139, constB140)) | v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2))) <=> (v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17934,plain,
% 25.56/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2))))),
% 25.56/16.87 inference(monotonicity,[status(thm)],[17933])).
% 25.56/16.87 tff(17935,plain,
% 25.56/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2)))),
% 25.56/16.87 inference(transitivity,[status(thm)],[17934, 17932])).
% 25.56/16.87 tff(17936,plain,
% 25.56/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17937,plain,
% 25.56/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB139, bitIndex2) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex2))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17936, 17935])).
% 25.56/16.87 tff(17938,plain,
% 25.56/16.87 (v84(constB139, bitIndex2) | v94(constB140) | (~v84(constB140, bitIndex2))),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17937, 105, 15667])).
% 25.56/16.87 tff(17939,plain,
% 25.56/16.87 (v84(constB139, bitIndex2)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17938, 17931, 17867])).
% 25.56/16.87 tff(17940,plain,
% 25.56/16.87 (v84(constB138, bitIndex2)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15584, 17939])).
% 25.56/16.87 tff(17941,plain,
% 25.56/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17942,plain,
% 25.56/16.87 (((~nextState(constB139, constB140)) | v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0))) <=> (v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17943,plain,
% 25.56/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0))))),
% 25.56/16.87 inference(monotonicity,[status(thm)],[17942])).
% 25.56/16.87 tff(17944,plain,
% 25.56/16.87 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0)))),
% 25.56/16.87 inference(transitivity,[status(thm)],[17943, 17941])).
% 25.56/16.87 tff(17945,plain,
% 25.56/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB139, constB140)) | v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17946,plain,
% 25.56/16.87 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB139, bitIndex0) | (~nextState(constB139, constB140)) | v94(constB140) | (~v84(constB140, bitIndex0))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17945, 17944])).
% 25.56/16.87 tff(17947,plain,
% 25.56/16.87 (v84(constB139, bitIndex0) | v94(constB140) | (~v84(constB140, bitIndex0))),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17946, 147, 15667])).
% 25.56/16.87 tff(17948,plain,
% 25.56/16.87 (v84(constB139, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17947, 17931, 17869])).
% 25.56/16.87 tff(17949,plain,
% 25.56/16.87 (v84(constB138, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[16324, 17948])).
% 25.56/16.87 tff(17950,plain,
% 25.56/16.87 (v94(constB138)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[16332, 17949, 15410])).
% 25.56/16.87 tff(17951,plain,
% 25.56/16.87 (v123(constB138, bitIndex2)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15574, 423, 17950, 17940])).
% 25.56/16.87 tff(17952,plain,
% 25.56/16.87 (v121(constB137, bitIndex2)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15570, 17951])).
% 25.56/16.87 tff(17953,plain,
% 25.56/16.87 (v26(constB137)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[15560, 17952])).
% 25.56/16.87 tff(17954,plain,
% 25.56/16.87 (v123(constB138, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[16339, 923, 17950, 17949])).
% 25.56/16.87 tff(17955,plain,
% 25.56/16.87 (v121(constB137, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[16344, 17954])).
% 25.56/16.87 tff(17956,plain,
% 25.56/16.87 ($false),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[16348, 2385, 17955, 17953])).
% 25.56/16.87 tff(17957,plain,(v94(constB144) | (~v84(constB142, bitIndex0)) | (~v84(constB144, bitIndex1)) | (~v84(constB144, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 25.56/16.87 tff(17958,plain,
% 25.56/16.87 (v94(constB144)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17957, 17746, 16899, 16890])).
% 25.56/16.87 tff(17959,plain,
% 25.56/16.87 (v123(constB144, bitIndex1) | (~v94(constB144))),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17666, 509, 16899])).
% 25.56/16.87 tff(17960,plain,
% 25.56/16.87 (v123(constB144, bitIndex1)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17959, 17958])).
% 25.56/16.87 tff(17961,plain,
% 25.56/16.87 (v121(constB143, bitIndex1)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17671, 17960])).
% 25.56/16.87 tff(17962,plain,
% 25.56/16.87 (v124(constB143, bitIndex1)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17679, 17961])).
% 25.56/16.87 tff(17963,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB143)) | (~v124(constB143, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB143)) | (~v124(constB143, bitIndex1)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17964,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB143)) | (~v124(constB143, bitIndex1)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17965,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB143)) | (~v124(constB143, bitIndex1))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17964, 17963])).
% 25.56/16.87 tff(17966,plain,
% 25.56/16.87 (~v116(constB143)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17965, 1369, 17962])).
% 25.56/16.87 tff(17967,plain,
% 25.56/16.87 (v84(constB144, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17400, 16876])).
% 25.56/16.87 tff(17968,plain,
% 25.56/16.87 (v123(constB144, bitIndex0) | (~v94(constB144))),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17390, 923, 17967])).
% 25.56/16.87 tff(17969,plain,
% 25.56/16.87 (v123(constB144, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17968, 17958])).
% 25.56/16.87 tff(17970,plain,
% 25.56/16.87 (v121(constB143, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17383, 17969])).
% 25.56/16.87 tff(17971,plain,
% 25.56/16.87 (v124(constB143, bitIndex0)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17378, 17970])).
% 25.56/16.87 tff(17972,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB143)) | (~v124(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB143)) | (~v124(constB143, bitIndex0)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17973,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB143)) | (~v124(constB143, bitIndex0)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17974,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB143)) | (~v124(constB143, bitIndex0))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17973, 17972])).
% 25.56/16.87 tff(17975,plain,
% 25.56/16.87 (~v145(constB143)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17974, 876, 17971])).
% 25.56/16.87 tff(17976,plain,
% 25.56/16.87 (~v118(constB143)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17505, 17310, 17311])).
% 25.56/16.87 tff(17977,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB143)) | (~v84(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB143)) | (~v84(constB143, bitIndex0)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17978,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB143)) | (~v84(constB143, bitIndex0)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17979,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB143)) | (~v84(constB143, bitIndex0))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17978, 17977])).
% 25.56/16.87 tff(17980,plain,
% 25.56/16.87 (~v115(constB143)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17979, 11805, 17737])).
% 25.56/16.87 tff(17981,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB143)) | (~v84(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB143)) | (~v84(constB143, bitIndex0)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17982,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB143)) | (~v84(constB143, bitIndex0)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17983,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB143)) | (~v84(constB143, bitIndex0))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17982, 17981])).
% 25.56/16.87 tff(17984,plain,
% 25.56/16.87 (~v172(constB143)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17983, 11816, 17737])).
% 25.56/16.87 tff(17985,plain,
% 25.56/16.87 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB143)) | (~v84(constB143, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB143)) | (~v84(constB143, bitIndex0)))),
% 25.56/16.87 inference(rewrite,[status(thm)],[])).
% 25.56/16.87 tff(17986,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB143)) | (~v84(constB143, bitIndex0)))),
% 25.56/16.87 inference(quant_inst,[status(thm)],[])).
% 25.56/16.87 tff(17987,plain,
% 25.56/16.87 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB143)) | (~v84(constB143, bitIndex0))),
% 25.56/16.87 inference(modus_ponens,[status(thm)],[17986, 17985])).
% 25.56/16.87 tff(17988,plain,
% 25.56/16.87 (~v113(constB143)),
% 25.56/16.87 inference(unit_resolution,[status(thm)],[17987, 11827, 17737])).
% 25.56/16.88 tff(17989,plain,
% 25.56/16.88 (v145(constB143) | v116(constB143) | (~v124(constB143, bitIndex1))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17719, 2105, 17988, 17984, 17980, 17976])).
% 25.56/16.88 tff(17990,plain,
% 25.56/16.88 ($false),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17989, 17975, 17966, 17962])).
% 25.56/16.88 tff(17991,plain,(v94(constB146)), inference(lemma,lemma(discharge,[]))).
% 25.56/16.88 tff(17992,plain,
% 25.56/16.88 ((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17467, 423, 17991])).
% 25.56/16.88 tff(17993,plain,
% 25.56/16.88 (~v84(constB146, bitIndex2)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17992, 16609])).
% 25.56/16.88 tff(17994,plain,
% 25.56/16.88 (~v84(constB147, bitIndex2)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17328, 17993])).
% 25.56/16.88 tff(17995,plain,
% 25.56/16.88 (~v124(constB145, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17419, 2105, 16582, 16578, 16574, 16539, 16535, 16531])).
% 25.56/16.88 tff(17996,plain,
% 25.56/16.88 (~v121(constB145, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17427, 17995])).
% 25.56/16.88 tff(17997,plain,
% 25.56/16.88 (~v123(constB146, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17432, 17996])).
% 25.56/16.88 tff(17998,plain,
% 25.56/16.88 ((~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17439, 509, 17991])).
% 25.56/16.88 tff(17999,plain,
% 25.56/16.88 (~v84(constB146, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17998, 17997])).
% 25.56/16.88 tff(18000,plain,
% 25.56/16.88 (~v84(constB147, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17319, 17999])).
% 25.56/16.88 tff(18001,plain,
% 25.56/16.88 (v124(constB145, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17476, 2152, 16582, 16578, 16574, 16539, 16535, 16531])).
% 25.56/16.88 tff(18002,plain,
% 25.56/16.88 (v121(constB145, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17481, 18001])).
% 25.56/16.88 tff(18003,plain,
% 25.56/16.88 (v123(constB146, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17486, 18002])).
% 25.56/16.88 tff(18004,plain,
% 25.56/16.88 (v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17493, 577, 17991])).
% 25.56/16.88 tff(18005,plain,
% 25.56/16.88 (v84(constB146, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18004, 18003])).
% 25.56/16.88 tff(18006,plain,
% 25.56/16.88 (v84(constB147, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[16926, 18005])).
% 25.56/16.88 tff(18007,plain,
% 25.56/16.88 (v145(constB147)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17499, 614, 18006, 18000, 17994])).
% 25.56/16.88 tff(18008,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18009,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18010,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18009, 18008])).
% 25.56/16.88 tff(18011,plain,
% 25.56/16.88 (v112(constB147)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18010, 677, 18007])).
% 25.56/16.88 tff(18012,plain,
% 25.56/16.88 (v111(constB147)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17217, 193, 18011])).
% 25.56/16.88 tff(18013,plain,
% 25.56/16.88 (v110(constB147)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17224, 207, 18012])).
% 25.56/16.88 tff(18014,plain,
% 25.56/16.88 (v109(constB147)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17231, 221, 18013])).
% 25.56/16.88 tff(18015,plain,
% 25.56/16.88 (v108(constB147)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17235, 235, 18014])).
% 25.56/16.88 tff(18016,plain,
% 25.56/16.88 (v107(constB147)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17206, 249, 18015])).
% 25.56/16.88 tff(18017,plain,
% 25.56/16.88 (v106(constB147)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17199, 18016])).
% 25.56/16.88 tff(18018,plain,
% 25.56/16.88 (v102(constB147)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17194, 275, 18017])).
% 25.56/16.88 tff(18019,plain,
% 25.56/16.88 (v104(constB148)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17187, 18018])).
% 25.56/16.88 tff(18020,plain,
% 25.56/16.88 (v94(constB148)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17179, 18019])).
% 25.56/16.88 tff(18021,plain,
% 25.56/16.88 (~v124(constB147, bitIndex2)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17503, 625, 18007])).
% 25.56/16.88 tff(18022,plain,
% 25.56/16.88 (~v121(constB147, bitIndex2)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17460, 18021])).
% 25.56/16.88 tff(18023,plain,
% 25.56/16.88 (~v123(constB148, bitIndex2)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17452, 18022])).
% 25.56/16.88 tff(18024,plain,
% 25.56/16.88 ((~v84(constB148, bitIndex2)) | (~v94(constB148))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17446, 423, 18023])).
% 25.56/16.88 tff(18025,plain,
% 25.56/16.88 (~v84(constB148, bitIndex2)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18024, 18020])).
% 25.56/16.88 tff(18026,plain,
% 25.56/16.88 ((~v1(constB149)) <=> (~v1(constB149))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18027,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 25.56/16.88 tff(18028,plain,
% 25.56/16.88 (~v1(constB149)),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18027, 18026])).
% 25.56/16.88 tff(18029,plain,
% 25.56/16.88 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18030,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 25.56/16.88 tff(18031,plain,
% 25.56/16.88 (nextState(constB148, constB149)),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18030, 18029])).
% 25.56/16.88 tff(18032,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18033,plain,
% 25.56/16.88 (((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18034,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18033])).
% 25.56/16.88 tff(18035,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18034, 18032])).
% 25.56/16.88 tff(18036,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18037,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18036, 18035])).
% 25.56/16.88 tff(18038,plain,
% 25.56/16.88 (~v95(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18037, 73, 18031, 18028])).
% 25.56/16.88 tff(18039,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18040,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18041,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18040, 18039])).
% 25.56/16.88 tff(18042,plain,
% 25.56/16.88 (v95(constB149) | (~v94(constB149))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18041, 90, 18031])).
% 25.56/16.88 tff(18043,plain,
% 25.56/16.88 (~v94(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18042, 18038])).
% 25.56/16.88 tff(18044,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18045,plain,
% 25.56/16.88 (((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2))) <=> (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18046,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18045])).
% 25.56/16.88 tff(18047,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18046, 18044])).
% 25.56/16.88 tff(18048,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2)))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18049,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB148, bitIndex2) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex2))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18048, 18047])).
% 25.56/16.88 tff(18050,plain,
% 25.56/16.88 (v84(constB148, bitIndex2) | v94(constB149) | (~v84(constB149, bitIndex2))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18049, 105, 18031])).
% 25.56/16.88 tff(18051,plain,
% 25.56/16.88 (v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18050, 18043])).
% 25.56/16.88 tff(18052,plain,
% 25.56/16.88 (~v84(constB149, bitIndex2)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18051, 18025])).
% 25.56/16.88 tff(18053,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB147)) | v124(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB147)) | v124(constB147, bitIndex1))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18054,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB147)) | v124(constB147, bitIndex1))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18055,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB147)) | v124(constB147, bitIndex1)),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 25.56/16.88 tff(18056,plain,
% 25.56/16.88 (v124(constB147, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18055, 798, 18007])).
% 25.56/16.88 tff(18057,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18058,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18059,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB147) | (~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1)),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18058, 18057])).
% 25.56/16.88 tff(18060,plain,
% 25.56/16.88 ((~v124(constB147, bitIndex1)) | v121(constB147, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18059, 812, 17077])).
% 25.56/16.88 tff(18061,plain,
% 25.56/16.88 (v121(constB147, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18060, 18056])).
% 25.56/16.88 tff(18062,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18063,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18064,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB147, constB148)) | (~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1)),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18063, 18062])).
% 25.56/16.88 tff(18065,plain,
% 25.56/16.88 ((~v121(constB147, bitIndex1)) | v123(constB148, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18064, 827, 17088])).
% 25.56/16.88 tff(18066,plain,
% 25.56/16.88 (v123(constB148, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18065, 18061])).
% 25.56/16.88 tff(18067,plain,
% 25.56/16.88 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18068,plain,
% 25.56/16.88 ((v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1))) <=> (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18069,plain,
% 25.56/16.88 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18068])).
% 25.56/16.88 tff(18070,plain,
% 25.56/16.88 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18069, 18067])).
% 25.56/16.88 tff(18071,plain,
% 25.56/16.88 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB148, bitIndex1) | (~v94(constB148)) | (~v123(constB148, bitIndex1)))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18072,plain,
% 25.56/16.88 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)) | (~v94(constB148))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18071, 18070])).
% 25.56/16.88 tff(18073,plain,
% 25.56/16.88 (v84(constB148, bitIndex1) | (~v94(constB148))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18072, 842, 18066])).
% 25.56/16.88 tff(18074,plain,
% 25.56/16.88 (v84(constB148, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18073, 18020])).
% 25.56/16.88 tff(18075,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18076,plain,
% 25.56/16.88 (((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1)) <=> ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18077,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1)))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18076])).
% 25.56/16.88 tff(18078,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18077, 18075])).
% 25.56/16.88 tff(18079,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB148, constB149)) | (~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18080,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB148, bitIndex1)) | (~nextState(constB148, constB149)) | v94(constB149) | v84(constB149, bitIndex1)),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18079, 18078])).
% 25.56/16.88 tff(18081,plain,
% 25.56/16.88 ((~v84(constB148, bitIndex1)) | v94(constB149) | v84(constB149, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18080, 860, 18031])).
% 25.56/16.88 tff(18082,plain,
% 25.56/16.88 ((~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18081, 18043])).
% 25.56/16.88 tff(18083,plain,
% 25.56/16.88 (v84(constB149, bitIndex1)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18082, 18074])).
% 25.56/16.88 tff(18084,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18085,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18086,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB147)) | (~v124(constB147, bitIndex0))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18085, 18084])).
% 25.56/16.88 tff(18087,plain,
% 25.56/16.88 (~v124(constB147, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18086, 876, 18007])).
% 25.56/16.88 tff(18088,plain,
% 25.56/16.88 (~v121(constB147, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17582, 18087])).
% 25.56/16.88 tff(18089,plain,
% 25.56/16.88 (~v123(constB148, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17574, 18088])).
% 25.56/16.88 tff(18090,plain,
% 25.56/16.88 ((~v84(constB148, bitIndex0)) | (~v94(constB148))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[17568, 923, 18089])).
% 25.56/16.88 tff(18091,plain,
% 25.56/16.88 (~v84(constB148, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18090, 18020])).
% 25.56/16.88 tff(18092,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18093,plain,
% 25.56/16.88 (((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0))) <=> (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18094,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18093])).
% 25.56/16.88 tff(18095,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18094, 18092])).
% 25.56/16.88 tff(18096,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB148, constB149)) | v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0)))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18097,plain,
% 25.56/16.88 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB148, bitIndex0) | (~nextState(constB148, constB149)) | v94(constB149) | (~v84(constB149, bitIndex0))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18096, 18095])).
% 25.56/16.88 tff(18098,plain,
% 25.56/16.88 (v84(constB148, bitIndex0) | v94(constB149) | (~v84(constB149, bitIndex0))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18097, 147, 18031])).
% 25.56/16.88 tff(18099,plain,
% 25.56/16.88 (v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18098, 18043])).
% 25.56/16.88 tff(18100,plain,
% 25.56/16.88 (~v84(constB149, bitIndex0)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18099, 18091])).
% 25.56/16.88 tff(18101,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18102,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18103,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB149, bitIndex0) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex2) | v115(constB149)),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18102, 18101])).
% 25.56/16.88 tff(18104,plain,
% 25.56/16.88 (v115(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18103, 950, 18100, 18083, 18052])).
% 25.56/16.88 tff(18105,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB149) | (~v115(constB149)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB149) | (~v115(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18106,plain,
% 25.56/16.88 (((~v115(constB149)) | v111(constB149)) <=> (v111(constB149) | (~v115(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18107,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB149)) | v111(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB149) | (~v115(constB149))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18106])).
% 25.56/16.88 tff(18108,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB149)) | v111(constB149))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB149) | (~v115(constB149)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18107, 18105])).
% 25.56/16.88 tff(18109,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB149)) | v111(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18110,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB149) | (~v115(constB149))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18109, 18108])).
% 25.56/16.88 tff(18111,plain,
% 25.56/16.88 (v111(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18110, 961, 18104])).
% 25.56/16.88 tff(18112,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB149) | (~v111(constB149)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB149) | (~v111(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18113,plain,
% 25.56/16.88 (((~v111(constB149)) | v110(constB149)) <=> (v110(constB149) | (~v111(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18114,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB149)) | v110(constB149))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB149) | (~v111(constB149))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18113])).
% 25.56/16.88 tff(18115,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB149)) | v110(constB149))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB149) | (~v111(constB149)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18114, 18112])).
% 25.56/16.88 tff(18116,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB149)) | v110(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18117,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB149) | (~v111(constB149))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18116, 18115])).
% 25.56/16.88 tff(18118,plain,
% 25.56/16.88 (v110(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18117, 207, 18111])).
% 25.56/16.88 tff(18119,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB149) | (~v110(constB149)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB149) | (~v110(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18120,plain,
% 25.56/16.88 (((~v110(constB149)) | v109(constB149)) <=> (v109(constB149) | (~v110(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18121,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB149)) | v109(constB149))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB149) | (~v110(constB149))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18120])).
% 25.56/16.88 tff(18122,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB149)) | v109(constB149))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB149) | (~v110(constB149)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18121, 18119])).
% 25.56/16.88 tff(18123,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB149)) | v109(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18124,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB149) | (~v110(constB149))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18123, 18122])).
% 25.56/16.88 tff(18125,plain,
% 25.56/16.88 (v109(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18124, 221, 18118])).
% 25.56/16.88 tff(18126,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v109(constB149)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v109(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18127,plain,
% 25.56/16.88 (((~v109(constB149)) | v108(constB149)) <=> (v108(constB149) | (~v109(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18128,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB149) | (~v109(constB149))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18127])).
% 25.56/16.88 tff(18129,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB149)) | v108(constB149))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v109(constB149)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18128, 18126])).
% 25.56/16.88 tff(18130,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB149)) | v108(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18131,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB149) | (~v109(constB149))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18130, 18129])).
% 25.56/16.88 tff(18132,plain,
% 25.56/16.88 (v108(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18131, 235, 18125])).
% 25.56/16.88 tff(18133,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB149) | (~v108(constB149)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB149) | (~v108(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18134,plain,
% 25.56/16.88 (((~v108(constB149)) | v107(constB149)) <=> (v107(constB149) | (~v108(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18135,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB149)) | v107(constB149))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB149) | (~v108(constB149))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18134])).
% 25.56/16.88 tff(18136,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB149)) | v107(constB149))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB149) | (~v108(constB149)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18135, 18133])).
% 25.56/16.88 tff(18137,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB149)) | v107(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18138,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB149) | (~v108(constB149))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18137, 18136])).
% 25.56/16.88 tff(18139,plain,
% 25.56/16.88 (v107(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18138, 249, 18132])).
% 25.56/16.88 tff(18140,assumption,(v26(constB149)), introduced(assumption)).
% 25.56/16.88 tff(18141,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18142,plain,
% 25.56/16.88 ($false),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18141, 18, 18140])).
% 25.56/16.88 tff(18143,plain,(~v26(constB149)), inference(lemma,lemma(discharge,[]))).
% 25.56/16.88 tff(18144,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | v106(constB149) | (~v107(constB149)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18145,plain,
% 25.56/16.88 ((v26(constB149) | (~v107(constB149)) | v106(constB149)) <=> (v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18146,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | v106(constB149) | (~v107(constB149))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18145])).
% 25.56/16.88 tff(18147,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18146, 18144])).
% 25.56/16.88 tff(18148,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB149) | (~v107(constB149)) | v106(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18149,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB149) | v106(constB149) | (~v107(constB149))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18148, 18147])).
% 25.56/16.88 tff(18150,plain,
% 25.56/16.88 (v106(constB149) | (~v107(constB149))),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18149, 263, 18143])).
% 25.56/16.88 tff(18151,plain,
% 25.56/16.88 (v106(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18150, 18139])).
% 25.56/16.88 tff(18152,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB149) | (~v106(constB149)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB149) | (~v106(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18153,plain,
% 25.56/16.88 (((~v106(constB149)) | v102(constB149)) <=> (v102(constB149) | (~v106(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18154,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB149)) | v102(constB149))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB149) | (~v106(constB149))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18153])).
% 25.56/16.88 tff(18155,plain,
% 25.56/16.88 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB149)) | v102(constB149))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB149) | (~v106(constB149)))),
% 25.56/16.88 inference(transitivity,[status(thm)],[18154, 18152])).
% 25.56/16.88 tff(18156,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB149)) | v102(constB149))),
% 25.56/16.88 inference(quant_inst,[status(thm)],[])).
% 25.56/16.88 tff(18157,plain,
% 25.56/16.88 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB149) | (~v106(constB149))),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18156, 18155])).
% 25.56/16.88 tff(18158,plain,
% 25.56/16.88 (v102(constB149)),
% 25.56/16.88 inference(unit_resolution,[status(thm)],[18157, 275, 18151])).
% 25.56/16.88 tff(18159,plain,
% 25.56/16.88 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18160,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_149_1')).
% 25.56/16.88 tff(18161,plain,
% 25.56/16.88 (nextState(constB149, constB150)),
% 25.56/16.88 inference(modus_ponens,[status(thm)],[18160, 18159])).
% 25.56/16.88 tff(18162,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18163,plain,
% 25.56/16.88 (((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150)) <=> ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 25.56/16.88 inference(rewrite,[status(thm)],[])).
% 25.56/16.88 tff(18164,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149))))),
% 25.56/16.88 inference(monotonicity,[status(thm)],[18163])).
% 25.56/16.88 tff(18165,plain,
% 25.56/16.88 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149)))),
% 25.56/16.89 inference(transitivity,[status(thm)],[18164, 18162])).
% 25.56/16.89 tff(18166,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB149, constB150)) | (~v102(constB149)) | v104(constB150))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18167,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB149, constB150)) | v104(constB150) | (~v102(constB149))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18166, 18165])).
% 25.56/16.89 tff(18168,plain,
% 25.56/16.89 (v104(constB150) | (~v102(constB149))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18167, 295, 18161])).
% 25.56/16.89 tff(18169,plain,
% 25.56/16.89 (v104(constB150)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18168, 18158])).
% 25.56/16.89 tff(18170,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18171,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18172,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB149) | (~nextState(constB149, constB150)) | (~v98(constB150))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18171, 18170])).
% 25.56/16.89 tff(18173,plain,
% 25.56/16.89 (~v98(constB150)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18172, 313, 18161, 18028])).
% 25.56/16.89 tff(18174,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18175,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB149, constB150)) | v96(constB150) | v98(constB150))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18176,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB149, constB150)) | v96(constB150) | v98(constB150)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18175, 18174])).
% 25.56/16.89 tff(18177,plain,
% 25.56/16.89 (v96(constB150) | v98(constB150)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18176, 327, 18161])).
% 25.56/16.89 tff(18178,plain,
% 25.56/16.89 (v96(constB150)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18177, 18173])).
% 25.56/16.89 tff(18179,plain,
% 25.56/16.89 (v1(constB150) <=> v1(constB150)),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18180,axiom,(v1(constB150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_150_1')).
% 25.56/16.89 tff(18181,plain,
% 25.56/16.89 (v1(constB150)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18180, 18179])).
% 25.56/16.89 tff(18182,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18183,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18184,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB149, constB150)) | v95(constB150) | (~v96(constB150)) | (~v1(constB150))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18183, 18182])).
% 25.56/16.89 tff(18185,plain,
% 25.56/16.89 (v95(constB150) | (~v96(constB150))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18184, 345, 18161, 18181])).
% 25.56/16.89 tff(18186,plain,
% 25.56/16.89 (v95(constB150)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18185, 18178])).
% 25.56/16.89 tff(18187,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18188,plain,
% 25.56/16.89 (((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150)) <=> ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18189,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150))))),
% 25.56/16.89 inference(monotonicity,[status(thm)],[18188])).
% 25.56/16.89 tff(18190,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150)))),
% 25.56/16.89 inference(transitivity,[status(thm)],[18189, 18187])).
% 25.56/16.89 tff(18191,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB149, constB150)) | (~v95(constB150)) | (~v104(constB150)) | v94(constB150))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18192,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB149, constB150)) | v94(constB150) | (~v95(constB150)) | (~v104(constB150))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18191, 18190])).
% 25.56/16.89 tff(18193,plain,
% 25.56/16.89 (v94(constB150) | (~v95(constB150)) | (~v104(constB150))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18192, 360, 18161])).
% 25.56/16.89 tff(18194,plain,
% 25.56/16.89 (v94(constB150) | (~v104(constB150))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18193, 18186])).
% 25.56/16.89 tff(18195,plain,
% 25.56/16.89 (v94(constB150)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18194, 18169])).
% 25.56/16.89 tff(18196,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB149)) | (~v124(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB149)) | (~v124(constB149, bitIndex2)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18197,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB149)) | (~v124(constB149, bitIndex2)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18198,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB149)) | (~v124(constB149, bitIndex2))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18197, 18196])).
% 25.56/16.89 tff(18199,plain,
% 25.56/16.89 (~v124(constB149, bitIndex2)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18198, 1046, 18104])).
% 25.56/16.89 tff(18200,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18201,plain,
% 25.56/16.89 ((v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2))) <=> ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18202,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2)))),
% 25.56/16.89 inference(monotonicity,[status(thm)],[18201])).
% 25.56/16.89 tff(18203,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2))),
% 25.56/16.89 inference(transitivity,[status(thm)],[18202, 18200])).
% 25.56/16.89 tff(18204,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB149) | v124(constB149, bitIndex2) | (~v121(constB149, bitIndex2)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18205,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB149, bitIndex2)) | v26(constB149) | v124(constB149, bitIndex2)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18204, 18203])).
% 25.56/16.89 tff(18206,plain,
% 25.56/16.89 ((~v121(constB149, bitIndex2)) | v124(constB149, bitIndex2)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18205, 390, 18143])).
% 25.56/16.89 tff(18207,plain,
% 25.56/16.89 (~v121(constB149, bitIndex2)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18206, 18199])).
% 25.56/16.89 tff(18208,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18209,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18210,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB149, constB150)) | v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18209, 18208])).
% 25.56/16.89 tff(18211,plain,
% 25.56/16.89 (v121(constB149, bitIndex2) | (~v123(constB150, bitIndex2))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18210, 408, 18161])).
% 25.56/16.89 tff(18212,plain,
% 25.56/16.89 (~v123(constB150, bitIndex2)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18211, 18207])).
% 25.56/16.89 tff(18213,plain,
% 25.56/16.89 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18214,plain,
% 25.56/16.89 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18215,plain,
% 25.56/16.89 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2) | (~v94(constB150))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18214, 18213])).
% 25.56/16.89 tff(18216,plain,
% 25.56/16.89 ((~v84(constB150, bitIndex2)) | (~v94(constB150))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18215, 423, 18212])).
% 25.56/16.89 tff(18217,plain,
% 25.56/16.89 (~v84(constB150, bitIndex2)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18216, 18195])).
% 25.56/16.89 tff(18218,plain,
% 25.56/16.89 ((~v1(constB151)) <=> (~v1(constB151))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18219,axiom,(~v1(constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_151_1_1')).
% 25.56/16.89 tff(18220,plain,
% 25.56/16.89 (~v1(constB151)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18219, 18218])).
% 25.56/16.89 tff(18221,plain,
% 25.56/16.89 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18222,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_150_1')).
% 25.56/16.89 tff(18223,plain,
% 25.56/16.89 (nextState(constB150, constB151)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18222, 18221])).
% 25.56/16.89 tff(18224,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18225,plain,
% 25.56/16.89 (((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151)) <=> (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18226,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151))))),
% 25.56/16.89 inference(monotonicity,[status(thm)],[18225])).
% 25.56/16.89 tff(18227,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151)))),
% 25.56/16.89 inference(transitivity,[status(thm)],[18226, 18224])).
% 25.56/16.89 tff(18228,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB150, constB151)) | (~v95(constB151)) | v1(constB151))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18229,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB151) | (~nextState(constB150, constB151)) | (~v95(constB151))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18228, 18227])).
% 25.56/16.89 tff(18230,plain,
% 25.56/16.89 (~v95(constB151)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18229, 73, 18223, 18220])).
% 25.56/16.89 tff(18231,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18232,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18233,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB150, constB151)) | v95(constB151) | (~v94(constB151))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18232, 18231])).
% 25.56/16.89 tff(18234,plain,
% 25.56/16.89 (v95(constB151) | (~v94(constB151))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18233, 90, 18223])).
% 25.56/16.89 tff(18235,plain,
% 25.56/16.89 (~v94(constB151)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18234, 18230])).
% 25.56/16.89 tff(18236,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18237,plain,
% 25.56/16.89 (((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2))) <=> (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18238,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2))))),
% 25.56/16.89 inference(monotonicity,[status(thm)],[18237])).
% 25.56/16.89 tff(18239,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 25.56/16.89 inference(transitivity,[status(thm)],[18238, 18236])).
% 25.56/16.89 tff(18240,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB150, constB151)) | v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18241,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB150, bitIndex2) | (~nextState(constB150, constB151)) | v94(constB151) | (~v84(constB151, bitIndex2))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18240, 18239])).
% 25.56/16.89 tff(18242,plain,
% 25.56/16.89 (v84(constB150, bitIndex2) | v94(constB151) | (~v84(constB151, bitIndex2))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18241, 105, 18223])).
% 25.56/16.89 tff(18243,plain,
% 25.56/16.89 (v84(constB150, bitIndex2) | (~v84(constB151, bitIndex2))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18242, 18235])).
% 25.56/16.89 tff(18244,plain,
% 25.56/16.89 (~v84(constB151, bitIndex2)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18243, 18217])).
% 25.56/16.89 tff(18245,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB149)) | v124(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB149)) | v124(constB149, bitIndex1))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18246,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB149)) | v124(constB149, bitIndex1))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18247,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB149)) | v124(constB149, bitIndex1)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18246, 18245])).
% 25.56/16.89 tff(18248,plain,
% 25.56/16.89 (v124(constB149, bitIndex1)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18247, 1102, 18104])).
% 25.56/16.89 tff(18249,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18250,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18251,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB149) | (~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18250, 18249])).
% 25.56/16.89 tff(18252,plain,
% 25.56/16.89 ((~v124(constB149, bitIndex1)) | v121(constB149, bitIndex1)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18251, 812, 18143])).
% 25.56/16.89 tff(18253,plain,
% 25.56/16.89 (v121(constB149, bitIndex1)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18252, 18248])).
% 25.56/16.89 tff(18254,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18255,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18256,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18255, 18254])).
% 25.56/16.89 tff(18257,plain,
% 25.56/16.89 ((~v121(constB149, bitIndex1)) | v123(constB150, bitIndex1)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18256, 827, 18161])).
% 25.56/16.89 tff(18258,plain,
% 25.56/16.89 (v123(constB150, bitIndex1)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18257, 18253])).
% 25.56/16.89 tff(18259,plain,
% 25.56/16.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18260,plain,
% 25.56/16.89 ((v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1))) <=> (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18261,plain,
% 25.56/16.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150))))),
% 25.56/16.89 inference(monotonicity,[status(thm)],[18260])).
% 25.56/16.89 tff(18262,plain,
% 25.56/16.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150)))),
% 25.56/16.89 inference(transitivity,[status(thm)],[18261, 18259])).
% 25.56/16.89 tff(18263,plain,
% 25.56/16.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB150, bitIndex1) | (~v94(constB150)) | (~v123(constB150, bitIndex1)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18264,plain,
% 25.56/16.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1)) | (~v94(constB150))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18263, 18262])).
% 25.56/16.89 tff(18265,plain,
% 25.56/16.89 (v84(constB150, bitIndex1) | (~v94(constB150))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18264, 842, 18258])).
% 25.56/16.89 tff(18266,plain,
% 25.56/16.89 (v84(constB150, bitIndex1)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18265, 18195])).
% 25.56/16.89 tff(18267,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18268,plain,
% 25.56/16.89 (((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1)) <=> ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18269,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1)))),
% 25.56/16.89 inference(monotonicity,[status(thm)],[18268])).
% 25.56/16.89 tff(18270,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1))),
% 25.56/16.89 inference(transitivity,[status(thm)],[18269, 18267])).
% 25.56/16.89 tff(18271,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18272,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB150, bitIndex1)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex1)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18271, 18270])).
% 25.56/16.89 tff(18273,plain,
% 25.56/16.89 ((~v84(constB150, bitIndex1)) | v94(constB151) | v84(constB151, bitIndex1)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18272, 860, 18223])).
% 25.56/16.89 tff(18274,plain,
% 25.56/16.89 ((~v84(constB150, bitIndex1)) | v84(constB151, bitIndex1)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18273, 18235])).
% 25.56/16.89 tff(18275,plain,
% 25.56/16.89 (v84(constB151, bitIndex1)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18274, 18266])).
% 25.56/16.89 tff(18276,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB149)) | v124(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB149)) | v124(constB149, bitIndex0))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18277,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB149)) | v124(constB149, bitIndex0))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18278,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB149)) | v124(constB149, bitIndex0)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18277, 18276])).
% 25.56/16.89 tff(18279,plain,
% 25.56/16.89 (v124(constB149, bitIndex0)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18278, 1140, 18104])).
% 25.56/16.89 tff(18280,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18281,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18282,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB149) | (~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18281, 18280])).
% 25.56/16.89 tff(18283,plain,
% 25.56/16.89 ((~v124(constB149, bitIndex0)) | v121(constB149, bitIndex0)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18282, 547, 18143])).
% 25.56/16.89 tff(18284,plain,
% 25.56/16.89 (v121(constB149, bitIndex0)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18283, 18279])).
% 25.56/16.89 tff(18285,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18286,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18287,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB149, constB150)) | (~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18286, 18285])).
% 25.56/16.89 tff(18288,plain,
% 25.56/16.89 ((~v121(constB149, bitIndex0)) | v123(constB150, bitIndex0)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18287, 562, 18161])).
% 25.56/16.89 tff(18289,plain,
% 25.56/16.89 (v123(constB150, bitIndex0)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18288, 18284])).
% 25.56/16.89 tff(18290,plain,
% 25.56/16.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18291,plain,
% 25.56/16.89 ((v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0))) <=> (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18292,plain,
% 25.56/16.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150))))),
% 25.56/16.89 inference(monotonicity,[status(thm)],[18291])).
% 25.56/16.89 tff(18293,plain,
% 25.56/16.89 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150)))),
% 25.56/16.89 inference(transitivity,[status(thm)],[18292, 18290])).
% 25.56/16.89 tff(18294,plain,
% 25.56/16.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB150, bitIndex0) | (~v94(constB150)) | (~v123(constB150, bitIndex0)))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18295,plain,
% 25.56/16.89 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0)) | (~v94(constB150))),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18294, 18293])).
% 25.56/16.89 tff(18296,plain,
% 25.56/16.89 (v84(constB150, bitIndex0) | (~v94(constB150))),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18295, 577, 18289])).
% 25.56/16.89 tff(18297,plain,
% 25.56/16.89 (v84(constB150, bitIndex0)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18296, 18195])).
% 25.56/16.89 tff(18298,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18299,plain,
% 25.56/16.89 (((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0)) <=> ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18300,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0)))),
% 25.56/16.89 inference(monotonicity,[status(thm)],[18299])).
% 25.56/16.89 tff(18301,plain,
% 25.56/16.89 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0))),
% 25.56/16.89 inference(transitivity,[status(thm)],[18300, 18298])).
% 25.56/16.89 tff(18302,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB150, constB151)) | (~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18303,plain,
% 25.56/16.89 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB150, bitIndex0)) | (~nextState(constB150, constB151)) | v94(constB151) | v84(constB151, bitIndex0)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18302, 18301])).
% 25.56/16.89 tff(18304,plain,
% 25.56/16.89 ((~v84(constB150, bitIndex0)) | v94(constB151) | v84(constB151, bitIndex0)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18303, 595, 18223])).
% 25.56/16.89 tff(18305,plain,
% 25.56/16.89 ((~v84(constB150, bitIndex0)) | v84(constB151, bitIndex0)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18304, 18235])).
% 25.56/16.89 tff(18306,plain,
% 25.56/16.89 (v84(constB151, bitIndex0)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18305, 18297])).
% 25.56/16.89 tff(18307,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18308,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151))),
% 25.56/16.89 inference(quant_inst,[status(thm)],[])).
% 25.56/16.89 tff(18309,plain,
% 25.56/16.89 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB151, bitIndex0)) | (~v84(constB151, bitIndex1)) | v84(constB151, bitIndex2) | v116(constB151)),
% 25.56/16.89 inference(modus_ponens,[status(thm)],[18308, 18307])).
% 25.56/16.89 tff(18310,plain,
% 25.56/16.89 (v116(constB151)),
% 25.56/16.89 inference(unit_resolution,[status(thm)],[18309, 1181, 18306, 18275, 18244])).
% 25.56/16.89 tff(18311,plain,
% 25.56/16.89 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB151) | (~v116(constB151)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB151) | (~v116(constB151)))),
% 25.56/16.89 inference(rewrite,[status(thm)],[])).
% 25.56/16.89 tff(18312,plain,
% 25.56/16.89 (((~v116(constB151)) | v110(constB151)) <=> (v110(constB151) | (~v116(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18313,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB151)) | v110(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB151) | (~v116(constB151))))),
% 25.56/16.90 inference(monotonicity,[status(thm)],[18312])).
% 25.56/16.90 tff(18314,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB151)) | v110(constB151))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB151) | (~v116(constB151)))),
% 25.56/16.90 inference(transitivity,[status(thm)],[18313, 18311])).
% 25.56/16.90 tff(18315,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB151)) | v110(constB151))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18316,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB151) | (~v116(constB151))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18315, 18314])).
% 25.56/16.90 tff(18317,plain,
% 25.56/16.90 (v110(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18316, 1192, 18310])).
% 25.56/16.90 tff(18318,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB151)) | v109(constB151))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB151)) | v109(constB151))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18319,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB151)) | v109(constB151))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18320,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB151)) | v109(constB151)),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18319, 18318])).
% 25.56/16.90 tff(18321,plain,
% 25.56/16.90 (v109(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18320, 221, 18317])).
% 25.56/16.90 tff(18322,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v109(constB151)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v109(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18323,plain,
% 25.56/16.90 (((~v109(constB151)) | v108(constB151)) <=> (v108(constB151) | (~v109(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18324,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB151) | (~v109(constB151))))),
% 25.56/16.90 inference(monotonicity,[status(thm)],[18323])).
% 25.56/16.90 tff(18325,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB151)) | v108(constB151))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v109(constB151)))),
% 25.56/16.90 inference(transitivity,[status(thm)],[18324, 18322])).
% 25.56/16.90 tff(18326,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB151)) | v108(constB151))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18327,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB151) | (~v109(constB151))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18326, 18325])).
% 25.56/16.90 tff(18328,plain,
% 25.56/16.90 (v108(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18327, 235, 18321])).
% 25.56/16.90 tff(18329,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB151)) | v107(constB151))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB151)) | v107(constB151))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18330,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB151)) | v107(constB151))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18331,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB151)) | v107(constB151)),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18330, 18329])).
% 25.56/16.90 tff(18332,plain,
% 25.56/16.90 (v107(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18331, 249, 18328])).
% 25.56/16.90 tff(18333,assumption,(v26(constB150)), introduced(assumption)).
% 25.56/16.90 tff(18334,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB150))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18335,plain,
% 25.56/16.90 ($false),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18334, 18, 18333])).
% 25.56/16.90 tff(18336,plain,(~v26(constB150)), inference(lemma,lemma(discharge,[]))).
% 25.56/16.90 tff(18337,plain,
% 25.56/16.90 (^[VarNext: state_type, VarCurr: state_type] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18338,plain,
% 25.56/16.90 (![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)))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18337])).
% 25.56/16.90 tff(18339,plain,
% 25.56/16.90 (![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)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18340,plain,
% 25.56/16.90 (^[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)))))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18341,plain,
% 25.56/16.90 (![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)))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18340])).
% 25.56/16.90 tff(18342,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v66(VarNext))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 25.56/16.90 tff(18343,plain,
% 25.56/16.90 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18342, 18341])).
% 25.56/16.90 tff(18344,plain,
% 25.56/16.90 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18343, 18339])).
% 25.56/16.90 tff(18345,plain,(
% 25.56/16.90 ![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.56/16.90 inference(skolemize,[status(sab)],[18344])).
% 25.56/16.90 tff(18346,plain,
% 25.56/16.90 (![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18345, 18338])).
% 25.56/16.90 tff(18347,plain,
% 25.56/16.90 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB150, constB151)) | v26(constB150) | (~v66(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB150, constB151)) | v26(constB150) | (~v66(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18348,plain,
% 25.56/16.90 ((v26(constB150) | (~nextState(constB150, constB151)) | (~v66(constB151))) <=> ((~nextState(constB150, constB151)) | v26(constB150) | (~v66(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18349,plain,
% 25.56/16.90 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB150) | (~nextState(constB150, constB151)) | (~v66(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB150, constB151)) | v26(constB150) | (~v66(constB151))))),
% 25.56/16.90 inference(monotonicity,[status(thm)],[18348])).
% 25.56/16.90 tff(18350,plain,
% 25.56/16.90 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB150) | (~nextState(constB150, constB151)) | (~v66(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB150, constB151)) | v26(constB150) | (~v66(constB151)))),
% 25.56/16.90 inference(transitivity,[status(thm)],[18349, 18347])).
% 25.56/16.90 tff(18351,plain,
% 25.56/16.90 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB150) | (~nextState(constB150, constB151)) | (~v66(constB151)))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18352,plain,
% 25.56/16.90 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB150, constB151)) | v26(constB150) | (~v66(constB151))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18351, 18350])).
% 25.56/16.90 tff(18353,plain,
% 25.56/16.90 (v26(constB150) | (~v66(constB151))),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18352, 18346, 18223])).
% 25.56/16.90 tff(18354,plain,
% 25.56/16.90 (~v66(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18353, 18336])).
% 25.56/16.90 tff(18355,assumption,(v18(constB152)), introduced(assumption)).
% 25.56/16.90 tff(18356,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB152))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18357,plain,
% 25.56/16.90 ($false),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18356, 3012, 18355])).
% 25.56/16.90 tff(18358,plain,(~v18(constB152)), inference(lemma,lemma(discharge,[]))).
% 25.56/16.90 tff(18359,plain,
% 25.56/16.90 (v1(constB152) <=> v1(constB152)),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18360,axiom,(v1(constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_152_1')).
% 25.56/16.90 tff(18361,plain,
% 25.56/16.90 (v1(constB152)),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18360, 18359])).
% 25.56/16.90 tff(18362,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18363,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB152) | (~v1(constB152)))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18364,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB152) | (~v1(constB152))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18363, 18362])).
% 25.56/16.90 tff(18365,plain,
% 25.56/16.90 (v22(constB152)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18364, 3028, 18361])).
% 25.56/16.90 tff(18366,plain,
% 25.56/16.90 (((~![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)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18367,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB152) | (~v22(constB152)) | (~v19(constB152)))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18368,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB152) | (~v22(constB152)) | (~v19(constB152))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18367, 18366])).
% 25.56/16.90 tff(18369,plain,
% 25.56/16.90 (v18(constB152) | (~v19(constB152))),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18368, 3042, 18365])).
% 25.56/16.90 tff(18370,plain,
% 25.56/16.90 (~v19(constB152)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18369, 18358])).
% 25.56/16.90 tff(18371,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18372,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB152) | v19(constB152))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18373,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB152) | v19(constB152)),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18372, 18371])).
% 25.56/16.90 tff(18374,plain,
% 25.56/16.90 (v13(constB152)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18373, 3054, 18370])).
% 25.56/16.90 tff(18375,plain,
% 25.56/16.90 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18376,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_151_1')).
% 25.56/16.90 tff(18377,plain,
% 25.56/16.90 (nextState(constB151, constB152)),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 25.56/16.90 tff(18378,plain,
% 25.56/16.90 (((~![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)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18379,plain,
% 25.56/16.90 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152)))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18380,plain,
% 25.56/16.90 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB151) | (~v13(constB152)) | (~nextState(constB151, constB152))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18379, 18378])).
% 25.56/16.90 tff(18381,plain,
% 25.56/16.90 (v9(constB151) | (~v13(constB152))),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18380, 3068, 18377])).
% 25.56/16.90 tff(18382,plain,
% 25.56/16.90 (v9(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18381, 18374])).
% 25.56/16.90 tff(18383,plain,
% 25.56/16.90 (^[VarCurr: state_type] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18384,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18383])).
% 25.56/16.90 tff(18385,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18386,plain,
% 25.56/16.90 (^[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))))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18387,plain,
% 25.56/16.90 (![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18386])).
% 25.56/16.90 tff(18388,axiom,(![VarCurr: state_type] : (((~v9(VarCurr)) | v1(VarCurr)) | v64(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_11_1_2')).
% 25.56/16.90 tff(18389,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18388, 18387])).
% 25.56/16.90 tff(18390,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18389, 18385])).
% 25.56/16.90 tff(18391,plain,(
% 25.56/16.90 ![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.56/16.90 inference(skolemize,[status(sab)],[18390])).
% 25.56/16.90 tff(18392,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18391, 18384])).
% 25.56/16.90 tff(18393,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB151) | v64(constB151) | (~v9(constB151)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB151) | v64(constB151) | (~v9(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18394,plain,
% 25.56/16.90 ((v1(constB151) | (~v9(constB151)) | v64(constB151)) <=> (v1(constB151) | v64(constB151) | (~v9(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18395,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v64(constB151))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB151) | v64(constB151) | (~v9(constB151))))),
% 25.56/16.90 inference(monotonicity,[status(thm)],[18394])).
% 25.56/16.90 tff(18396,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v64(constB151))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB151) | v64(constB151) | (~v9(constB151)))),
% 25.56/16.90 inference(transitivity,[status(thm)],[18395, 18393])).
% 25.56/16.90 tff(18397,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v64(constB151))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18398,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB151) | v64(constB151) | (~v9(constB151))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18397, 18396])).
% 25.56/16.90 tff(18399,plain,
% 25.56/16.90 (v64(constB151) | (~v9(constB151))),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18398, 18392, 18220])).
% 25.56/16.90 tff(18400,plain,
% 25.56/16.90 (v64(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18399, 18382])).
% 25.56/16.90 tff(18401,plain,
% 25.56/16.90 (^[VarNext: state_type] : refl(((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18402,plain,
% 25.56/16.90 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18401])).
% 25.56/16.90 tff(18403,plain,
% 25.56/16.90 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext))) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18404,plain,
% 25.56/16.90 (^[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)))))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18405,plain,
% 25.56/16.90 (![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext)) <=> ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18404])).
% 25.56/16.90 tff(18406,axiom,(![VarNext: state_type] : (((~v64(VarNext)) | (~v60(VarNext))) | v66(VarNext))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 25.56/16.90 tff(18407,plain,
% 25.56/16.90 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18406, 18405])).
% 25.56/16.90 tff(18408,plain,
% 25.56/16.90 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18407, 18403])).
% 25.56/16.90 tff(18409,plain,(
% 25.56/16.90 ![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.56/16.90 inference(skolemize,[status(sab)],[18408])).
% 25.56/16.90 tff(18410,plain,
% 25.56/16.90 (![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18409, 18402])).
% 25.56/16.90 tff(18411,plain,
% 25.56/16.90 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB151)) | v66(constB151) | (~v64(constB151)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB151)) | v66(constB151) | (~v64(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18412,plain,
% 25.56/16.90 (((~v64(constB151)) | v66(constB151) | (~v60(constB151))) <=> ((~v60(constB151)) | v66(constB151) | (~v64(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18413,plain,
% 25.56/16.90 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB151)) | v66(constB151) | (~v60(constB151)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB151)) | v66(constB151) | (~v64(constB151))))),
% 25.56/16.90 inference(monotonicity,[status(thm)],[18412])).
% 25.56/16.90 tff(18414,plain,
% 25.56/16.90 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB151)) | v66(constB151) | (~v60(constB151)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB151)) | v66(constB151) | (~v64(constB151)))),
% 25.56/16.90 inference(transitivity,[status(thm)],[18413, 18411])).
% 25.56/16.90 tff(18415,plain,
% 25.56/16.90 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB151)) | v66(constB151) | (~v60(constB151)))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18416,plain,
% 25.56/16.90 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB151)) | v66(constB151) | (~v64(constB151))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18415, 18414])).
% 25.56/16.90 tff(18417,plain,
% 25.56/16.90 ((~v60(constB151)) | v66(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18416, 18410, 18400])).
% 25.56/16.90 tff(18418,plain,
% 25.56/16.90 (~v60(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18417, 18354])).
% 25.56/16.90 tff(18419,assumption,(v71(constB151)), introduced(assumption)).
% 25.56/16.90 tff(18420,plain,
% 25.56/16.90 (^[VarCurr: state_type] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18421,plain,
% 25.56/16.90 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18420])).
% 25.56/16.90 tff(18422,plain,
% 25.56/16.90 (![VarCurr: state_type] : (~v71(VarCurr)) <=> ![VarCurr: state_type] : (~v71(VarCurr))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18423,axiom,(![VarCurr: state_type] : (~v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 25.56/16.90 tff(18424,plain,
% 25.56/16.90 (![VarCurr: state_type] : (~v71(VarCurr))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18423, 18422])).
% 25.56/16.90 tff(18425,plain,(
% 25.56/16.90 ![VarCurr: state_type] : (~v71(VarCurr))),
% 25.56/16.90 inference(skolemize,[status(sab)],[18424])).
% 25.56/16.90 tff(18426,plain,
% 25.56/16.90 (![VarCurr: state_type] : (~v71(VarCurr))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18425, 18421])).
% 25.56/16.90 tff(18427,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB151))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18428,plain,
% 25.56/16.90 ($false),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18427, 18426, 18419])).
% 25.56/16.90 tff(18429,plain,(~v71(constB151)), inference(lemma,lemma(discharge,[]))).
% 25.56/16.90 tff(18430,plain,
% 25.56/16.90 (^[VarCurr: state_type] : refl(((~v9(VarCurr)) | v80(VarCurr)) <=> ((~v9(VarCurr)) | v80(VarCurr)))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18431,plain,
% 25.56/16.90 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18430])).
% 25.56/16.90 tff(18432,plain,
% 25.56/16.90 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr)) <=> ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18433,axiom,(![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_15_1_1_1_2')).
% 25.56/16.90 tff(18434,plain,
% 25.56/16.90 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18433, 18432])).
% 25.56/16.90 tff(18435,plain,(
% 25.56/16.90 ![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.56/16.90 inference(skolemize,[status(sab)],[18434])).
% 25.56/16.90 tff(18436,plain,
% 25.56/16.90 (![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18435, 18431])).
% 25.56/16.90 tff(18437,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB151)) | v80(constB151))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB151)) | v80(constB151))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18438,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB151)) | v80(constB151))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18439,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB151)) | v80(constB151)),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18438, 18437])).
% 25.56/16.90 tff(18440,plain,
% 25.56/16.90 (v80(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18439, 18436, 18382])).
% 25.56/16.90 tff(18441,plain,
% 25.56/16.90 (^[VarCurr: state_type] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18442,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18441])).
% 25.56/16.90 tff(18443,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18444,axiom,(![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_14_1_1_1_1')).
% 25.56/16.90 tff(18445,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18444, 18443])).
% 25.56/16.90 tff(18446,plain,(
% 25.56/16.90 ![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.56/16.90 inference(skolemize,[status(sab)],[18445])).
% 25.56/16.90 tff(18447,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18446, 18442])).
% 25.56/16.90 tff(18448,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB151) | v78(constB151))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB151) | v78(constB151))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18449,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB151) | v78(constB151))),
% 25.56/16.90 inference(quant_inst,[status(thm)],[])).
% 25.56/16.90 tff(18450,plain,
% 25.56/16.90 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB151) | v78(constB151)),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18449, 18448])).
% 25.56/16.90 tff(18451,plain,
% 25.56/16.90 (v78(constB151)),
% 25.56/16.90 inference(unit_resolution,[status(thm)],[18450, 18447, 18220])).
% 25.56/16.90 tff(18452,plain,
% 25.56/16.90 (^[VarCurr: state_type] : refl((v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18453,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18452])).
% 25.56/16.90 tff(18454,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.56/16.90 tff(18455,plain,
% 25.56/16.90 (^[VarCurr: state_type] : rewrite((((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr))))),
% 25.56/16.90 inference(bind,[status(th)],[])).
% 25.56/16.90 tff(18456,plain,
% 25.56/16.90 (![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr)) <=> ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.56/16.90 inference(quant_intro,[status(thm)],[18455])).
% 25.56/16.90 tff(18457,axiom,(![VarCurr: state_type] : (((~v78(VarCurr)) | (~v80(VarCurr))) | v76(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_16_1_1_1')).
% 25.56/16.90 tff(18458,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18457, 18456])).
% 25.56/16.90 tff(18459,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18458, 18454])).
% 25.56/16.90 tff(18460,plain,(
% 25.56/16.90 ![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.56/16.90 inference(skolemize,[status(sab)],[18459])).
% 25.56/16.90 tff(18461,plain,
% 25.56/16.90 (![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))),
% 25.56/16.90 inference(modus_ponens,[status(thm)],[18460, 18453])).
% 25.56/16.90 tff(18462,plain,
% 25.56/16.90 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB151) | (~v80(constB151)) | (~v78(constB151)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB151) | (~v80(constB151)) | (~v78(constB151)))),
% 25.56/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18463,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB151) | (~v80(constB151)) | (~v78(constB151)))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18464,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB151) | (~v80(constB151)) | (~v78(constB151))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18463, 18462])).
% 25.59/16.90 tff(18465,plain,
% 25.59/16.90 (v76(constB151) | (~v80(constB151))),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18464, 18461, 18451])).
% 25.59/16.90 tff(18466,plain,
% 25.59/16.90 (v76(constB151)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18465, 18440])).
% 25.59/16.90 tff(18467,plain,
% 25.59/16.90 (^[VarCurr: state_type] : refl((v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 25.59/16.90 inference(bind,[status(th)],[])).
% 25.59/16.90 tff(18468,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.59/16.90 inference(quant_intro,[status(thm)],[18467])).
% 25.59/16.90 tff(18469,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18470,plain,
% 25.59/16.90 (^[VarCurr: state_type] : rewrite((((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr))))),
% 25.59/16.90 inference(bind,[status(th)],[])).
% 25.59/16.90 tff(18471,plain,
% 25.59/16.90 (![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr)) <=> ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.59/16.90 inference(quant_intro,[status(thm)],[18470])).
% 25.59/16.90 tff(18472,axiom,(![VarCurr: state_type] : (((~v72(VarCurr)) | (~v76(VarCurr))) | v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_17_1_1_1')).
% 25.59/16.90 tff(18473,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18472, 18471])).
% 25.59/16.90 tff(18474,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18473, 18469])).
% 25.59/16.90 tff(18475,plain,(
% 25.59/16.90 ![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.59/16.90 inference(skolemize,[status(sab)],[18474])).
% 25.59/16.90 tff(18476,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18475, 18468])).
% 25.59/16.90 tff(18477,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB151)) | v71(constB151) | (~v72(constB151)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB151)) | v71(constB151) | (~v72(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18478,plain,
% 25.59/16.90 ((v71(constB151) | (~v76(constB151)) | (~v72(constB151))) <=> ((~v76(constB151)) | v71(constB151) | (~v72(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18479,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB151) | (~v76(constB151)) | (~v72(constB151)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB151)) | v71(constB151) | (~v72(constB151))))),
% 25.59/16.90 inference(monotonicity,[status(thm)],[18478])).
% 25.59/16.90 tff(18480,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB151) | (~v76(constB151)) | (~v72(constB151)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB151)) | v71(constB151) | (~v72(constB151)))),
% 25.59/16.90 inference(transitivity,[status(thm)],[18479, 18477])).
% 25.59/16.90 tff(18481,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB151) | (~v76(constB151)) | (~v72(constB151)))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18482,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB151)) | v71(constB151) | (~v72(constB151))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 25.59/16.90 tff(18483,plain,
% 25.59/16.90 (v71(constB151) | (~v72(constB151))),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18482, 18476, 18466])).
% 25.59/16.90 tff(18484,plain,
% 25.59/16.90 (~v72(constB151)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18483, 18429])).
% 25.59/16.90 tff(18485,plain,
% 25.59/16.90 (^[VarCurr: state_type] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 25.59/16.90 inference(bind,[status(th)],[])).
% 25.59/16.90 tff(18486,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.59/16.90 inference(quant_intro,[status(thm)],[18485])).
% 25.59/16.90 tff(18487,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18488,plain,
% 25.59/16.90 (^[VarCurr: state_type] : rewrite(((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 25.59/16.90 inference(bind,[status(th)],[])).
% 25.59/16.90 tff(18489,plain,
% 25.59/16.90 (![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr)) <=> ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.59/16.90 inference(quant_intro,[status(thm)],[18488])).
% 25.59/16.90 tff(18490,axiom,(![VarCurr: state_type] : ((v1(VarCurr) | v74(VarCurr)) | v72(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_13_1_1_1_1')).
% 25.59/16.90 tff(18491,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 25.59/16.90 tff(18492,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18491, 18487])).
% 25.59/16.90 tff(18493,plain,(
% 25.59/16.90 ![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.59/16.90 inference(skolemize,[status(sab)],[18492])).
% 25.59/16.90 tff(18494,plain,
% 25.59/16.90 (![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18493, 18486])).
% 25.59/16.90 tff(18495,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB151) | v72(constB151) | v74(constB151))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB151) | v72(constB151) | v74(constB151))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18496,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB151) | v72(constB151) | v74(constB151))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18497,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB151) | v72(constB151) | v74(constB151)),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18496, 18495])).
% 25.59/16.90 tff(18498,plain,
% 25.59/16.90 (v72(constB151) | v74(constB151)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18497, 18494, 18220])).
% 25.59/16.90 tff(18499,plain,
% 25.59/16.90 (v74(constB151)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18498, 18484])).
% 25.59/16.90 tff(18500,plain,
% 25.59/16.90 (^[VarCurr: state_type] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 25.59/16.90 inference(bind,[status(th)],[])).
% 25.59/16.90 tff(18501,plain,
% 25.59/16.90 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.59/16.90 inference(quant_intro,[status(thm)],[18500])).
% 25.59/16.90 tff(18502,plain,
% 25.59/16.90 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18503,plain,
% 25.59/16.90 (^[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)))))),
% 25.59/16.90 inference(bind,[status(th)],[])).
% 25.59/16.90 tff(18504,plain,
% 25.59/16.90 (![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr)) <=> ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.59/16.90 inference(quant_intro,[status(thm)],[18503])).
% 25.59/16.90 tff(18505,axiom,(![VarCurr: state_type] : (((~v74(VarCurr)) | (~v26(VarCurr))) | v60(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_2')).
% 25.59/16.90 tff(18506,plain,
% 25.59/16.90 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18505, 18504])).
% 25.59/16.90 tff(18507,plain,
% 25.59/16.90 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18506, 18502])).
% 25.59/16.90 tff(18508,plain,(
% 25.59/16.90 ![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.59/16.90 inference(skolemize,[status(sab)],[18507])).
% 25.59/16.90 tff(18509,plain,
% 25.59/16.90 (![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18508, 18501])).
% 25.59/16.90 tff(18510,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB151) | (~v26(constB151)) | (~v74(constB151)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB151) | (~v26(constB151)) | (~v74(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18511,plain,
% 25.59/16.90 (((~v26(constB151)) | v60(constB151) | (~v74(constB151))) <=> (v60(constB151) | (~v26(constB151)) | (~v74(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18512,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB151)) | v60(constB151) | (~v74(constB151)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB151) | (~v26(constB151)) | (~v74(constB151))))),
% 25.59/16.90 inference(monotonicity,[status(thm)],[18511])).
% 25.59/16.90 tff(18513,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB151)) | v60(constB151) | (~v74(constB151)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB151) | (~v26(constB151)) | (~v74(constB151)))),
% 25.59/16.90 inference(transitivity,[status(thm)],[18512, 18510])).
% 25.59/16.90 tff(18514,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB151)) | v60(constB151) | (~v74(constB151)))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18515,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB151) | (~v26(constB151)) | (~v74(constB151))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18514, 18513])).
% 25.59/16.90 tff(18516,plain,
% 25.59/16.90 (v60(constB151) | (~v26(constB151))),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18515, 18509, 18499])).
% 25.59/16.90 tff(18517,plain,
% 25.59/16.90 (~v26(constB151)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18516, 18418])).
% 25.59/16.90 tff(18518,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | v106(constB151) | (~v107(constB151)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18519,plain,
% 25.59/16.90 ((v26(constB151) | (~v107(constB151)) | v106(constB151)) <=> (v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18520,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | v106(constB151) | (~v107(constB151))))),
% 25.59/16.90 inference(monotonicity,[status(thm)],[18519])).
% 25.59/16.90 tff(18521,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151)))),
% 25.59/16.90 inference(transitivity,[status(thm)],[18520, 18518])).
% 25.59/16.90 tff(18522,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB151) | (~v107(constB151)) | v106(constB151))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18523,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB151) | v106(constB151) | (~v107(constB151))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18522, 18521])).
% 25.59/16.90 tff(18524,plain,
% 25.59/16.90 (v106(constB151) | (~v107(constB151))),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18523, 263, 18517])).
% 25.59/16.90 tff(18525,plain,
% 25.59/16.90 (v106(constB151)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18524, 18332])).
% 25.59/16.90 tff(18526,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB151) | (~v106(constB151)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB151) | (~v106(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18527,plain,
% 25.59/16.90 (((~v106(constB151)) | v102(constB151)) <=> (v102(constB151) | (~v106(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18528,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB151)) | v102(constB151))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB151) | (~v106(constB151))))),
% 25.59/16.90 inference(monotonicity,[status(thm)],[18527])).
% 25.59/16.90 tff(18529,plain,
% 25.59/16.90 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB151)) | v102(constB151))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB151) | (~v106(constB151)))),
% 25.59/16.90 inference(transitivity,[status(thm)],[18528, 18526])).
% 25.59/16.90 tff(18530,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB151)) | v102(constB151))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18531,plain,
% 25.59/16.90 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB151) | (~v106(constB151))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18530, 18529])).
% 25.59/16.90 tff(18532,plain,
% 25.59/16.90 (v102(constB151)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18531, 275, 18525])).
% 25.59/16.90 tff(18533,plain,
% 25.59/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18534,plain,
% 25.59/16.90 (((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152)) <=> ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18535,plain,
% 25.59/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151))))),
% 25.59/16.90 inference(monotonicity,[status(thm)],[18534])).
% 25.59/16.90 tff(18536,plain,
% 25.59/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151)))),
% 25.59/16.90 inference(transitivity,[status(thm)],[18535, 18533])).
% 25.59/16.90 tff(18537,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB151, constB152)) | (~v102(constB151)) | v104(constB152))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18538,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB151, constB152)) | v104(constB152) | (~v102(constB151))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18537, 18536])).
% 25.59/16.90 tff(18539,plain,
% 25.59/16.90 (v104(constB152) | (~v102(constB151))),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18538, 295, 18377])).
% 25.59/16.90 tff(18540,plain,
% 25.59/16.90 (v104(constB152)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18539, 18532])).
% 25.59/16.90 tff(18541,plain,
% 25.59/16.90 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18542,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152)))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18543,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB151) | (~nextState(constB151, constB152)) | (~v98(constB152))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18542, 18541])).
% 25.59/16.90 tff(18544,plain,
% 25.59/16.90 (~v98(constB152)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18543, 313, 18377, 18220])).
% 25.59/16.90 tff(18545,plain,
% 25.59/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18546,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB151, constB152)) | v96(constB152) | v98(constB152))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18547,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB151, constB152)) | v96(constB152) | v98(constB152)),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18546, 18545])).
% 25.59/16.90 tff(18548,plain,
% 25.59/16.90 (v96(constB152) | v98(constB152)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18547, 327, 18377])).
% 25.59/16.90 tff(18549,plain,
% 25.59/16.90 (v96(constB152)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18548, 18544])).
% 25.59/16.90 tff(18550,plain,
% 25.59/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18551,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152)))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18552,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB151, constB152)) | v95(constB152) | (~v96(constB152)) | (~v1(constB152))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18551, 18550])).
% 25.59/16.90 tff(18553,plain,
% 25.59/16.90 (v95(constB152) | (~v96(constB152))),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18552, 345, 18377, 18361])).
% 25.59/16.90 tff(18554,plain,
% 25.59/16.90 (v95(constB152)),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18553, 18549])).
% 25.59/16.90 tff(18555,plain,
% 25.59/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18556,plain,
% 25.59/16.90 (((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152)) <=> ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 25.59/16.90 inference(rewrite,[status(thm)],[])).
% 25.59/16.90 tff(18557,plain,
% 25.59/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152))))),
% 25.59/16.90 inference(monotonicity,[status(thm)],[18556])).
% 25.59/16.90 tff(18558,plain,
% 25.59/16.90 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152)))),
% 25.59/16.90 inference(transitivity,[status(thm)],[18557, 18555])).
% 25.59/16.90 tff(18559,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB151, constB152)) | (~v95(constB152)) | (~v104(constB152)) | v94(constB152))),
% 25.59/16.90 inference(quant_inst,[status(thm)],[])).
% 25.59/16.90 tff(18560,plain,
% 25.59/16.90 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB151, constB152)) | v94(constB152) | (~v95(constB152)) | (~v104(constB152))),
% 25.59/16.90 inference(modus_ponens,[status(thm)],[18559, 18558])).
% 25.59/16.90 tff(18561,plain,
% 25.59/16.90 (v94(constB152) | (~v95(constB152)) | (~v104(constB152))),
% 25.59/16.90 inference(unit_resolution,[status(thm)],[18560, 360, 18377])).
% 25.59/16.90 tff(18562,plain,
% 25.59/16.90 (v94(constB152) | (~v104(constB152))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18561, 18554])).
% 25.59/16.91 tff(18563,plain,
% 25.59/16.91 (v94(constB152)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18562, 18540])).
% 25.59/16.91 tff(18564,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB151)) | v124(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB151)) | v124(constB151, bitIndex2))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18565,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB151)) | v124(constB151, bitIndex2))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18566,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB151)) | v124(constB151, bitIndex2)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18565, 18564])).
% 25.59/16.91 tff(18567,plain,
% 25.59/16.91 (v124(constB151, bitIndex2)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18566, 1273, 18310])).
% 25.59/16.91 tff(18568,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18569,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18570,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB151) | (~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18569, 18568])).
% 25.59/16.91 tff(18571,plain,
% 25.59/16.91 ((~v124(constB151, bitIndex2)) | v121(constB151, bitIndex2)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18570, 1287, 18517])).
% 25.59/16.91 tff(18572,plain,
% 25.59/16.91 (v121(constB151, bitIndex2)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18571, 18567])).
% 25.59/16.91 tff(18573,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18574,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18575,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB151, constB152)) | (~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18574, 18573])).
% 25.59/16.91 tff(18576,plain,
% 25.59/16.91 ((~v121(constB151, bitIndex2)) | v123(constB152, bitIndex2)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18575, 1302, 18377])).
% 25.59/16.91 tff(18577,plain,
% 25.59/16.91 (v123(constB152, bitIndex2)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18576, 18572])).
% 25.59/16.91 tff(18578,plain,
% 25.59/16.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18579,plain,
% 25.59/16.91 ((v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2))) <=> (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18580,plain,
% 25.59/16.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152))))),
% 25.59/16.91 inference(monotonicity,[status(thm)],[18579])).
% 25.59/16.91 tff(18581,plain,
% 25.59/16.91 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152)))),
% 25.59/16.91 inference(transitivity,[status(thm)],[18580, 18578])).
% 25.59/16.91 tff(18582,plain,
% 25.59/16.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB152, bitIndex2) | (~v94(constB152)) | (~v123(constB152, bitIndex2)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18583,plain,
% 25.59/16.91 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2)) | (~v94(constB152))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18582, 18581])).
% 25.59/16.91 tff(18584,plain,
% 25.59/16.91 (v84(constB152, bitIndex2) | (~v94(constB152))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18583, 1317, 18577])).
% 25.59/16.91 tff(18585,plain,
% 25.59/16.91 (v84(constB152, bitIndex2)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18584, 18563])).
% 25.59/16.91 tff(18586,plain,
% 25.59/16.91 ((~v1(constB153)) <=> (~v1(constB153))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18587,axiom,(~v1(constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_153_1_1')).
% 25.59/16.91 tff(18588,plain,
% 25.59/16.91 (~v1(constB153)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18587, 18586])).
% 25.59/16.91 tff(18589,plain,
% 25.59/16.91 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18590,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_152_1')).
% 25.59/16.91 tff(18591,plain,
% 25.59/16.91 (nextState(constB152, constB153)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 25.59/16.91 tff(18592,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18593,plain,
% 25.59/16.91 (((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153)) <=> (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18594,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153))))),
% 25.59/16.91 inference(monotonicity,[status(thm)],[18593])).
% 25.59/16.91 tff(18595,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153)))),
% 25.59/16.91 inference(transitivity,[status(thm)],[18594, 18592])).
% 25.59/16.91 tff(18596,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB152, constB153)) | (~v95(constB153)) | v1(constB153))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18597,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB153) | (~nextState(constB152, constB153)) | (~v95(constB153))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18596, 18595])).
% 25.59/16.91 tff(18598,plain,
% 25.59/16.91 (~v95(constB153)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18597, 73, 18591, 18588])).
% 25.59/16.91 tff(18599,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18600,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18601,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB152, constB153)) | v95(constB153) | (~v94(constB153))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18600, 18599])).
% 25.59/16.91 tff(18602,plain,
% 25.59/16.91 (v95(constB153) | (~v94(constB153))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18601, 90, 18591])).
% 25.59/16.91 tff(18603,plain,
% 25.59/16.91 (~v94(constB153)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18602, 18598])).
% 25.59/16.91 tff(18604,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18605,plain,
% 25.59/16.91 (((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2)) <=> ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18606,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2)))),
% 25.59/16.91 inference(monotonicity,[status(thm)],[18605])).
% 25.59/16.91 tff(18607,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2))),
% 25.59/16.91 inference(transitivity,[status(thm)],[18606, 18604])).
% 25.59/16.91 tff(18608,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB152, constB153)) | (~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18609,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB152, bitIndex2)) | (~nextState(constB152, constB153)) | v94(constB153) | v84(constB153, bitIndex2)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18608, 18607])).
% 25.59/16.91 tff(18610,plain,
% 25.59/16.91 ((~v84(constB152, bitIndex2)) | v94(constB153) | v84(constB153, bitIndex2)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18609, 1353, 18591])).
% 25.59/16.91 tff(18611,plain,
% 25.59/16.91 ((~v84(constB152, bitIndex2)) | v84(constB153, bitIndex2)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18610, 18603])).
% 25.59/16.91 tff(18612,plain,
% 25.59/16.91 (v84(constB153, bitIndex2)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18611, 18585])).
% 25.59/16.91 tff(18613,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB151)) | (~v124(constB151, bitIndex1)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18614,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex1)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18615,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB151)) | (~v124(constB151, bitIndex1))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18614, 18613])).
% 25.59/16.91 tff(18616,plain,
% 25.59/16.91 (~v124(constB151, bitIndex1)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18615, 1369, 18310])).
% 25.59/16.91 tff(18617,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18618,plain,
% 25.59/16.91 ((v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1))) <=> ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18619,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1)))),
% 25.59/16.91 inference(monotonicity,[status(thm)],[18618])).
% 25.59/16.91 tff(18620,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1))),
% 25.59/16.91 inference(transitivity,[status(thm)],[18619, 18617])).
% 25.59/16.91 tff(18621,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB151) | v124(constB151, bitIndex1) | (~v121(constB151, bitIndex1)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18622,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB151, bitIndex1)) | v26(constB151) | v124(constB151, bitIndex1)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18621, 18620])).
% 25.59/16.91 tff(18623,plain,
% 25.59/16.91 ((~v121(constB151, bitIndex1)) | v124(constB151, bitIndex1)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18622, 476, 18517])).
% 25.59/16.91 tff(18624,plain,
% 25.59/16.91 (~v121(constB151, bitIndex1)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18623, 18616])).
% 25.59/16.91 tff(18625,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18626,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18627,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18626, 18625])).
% 25.59/16.91 tff(18628,plain,
% 25.59/16.91 (v121(constB151, bitIndex1) | (~v123(constB152, bitIndex1))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18627, 494, 18377])).
% 25.59/16.91 tff(18629,plain,
% 25.59/16.91 (~v123(constB152, bitIndex1)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18628, 18624])).
% 25.59/16.91 tff(18630,plain,
% 25.59/16.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18631,plain,
% 25.59/16.91 (((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1)) <=> ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18632,plain,
% 25.59/16.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152))))),
% 25.59/16.91 inference(monotonicity,[status(thm)],[18631])).
% 25.59/16.91 tff(18633,plain,
% 25.59/16.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152)))),
% 25.59/16.91 inference(transitivity,[status(thm)],[18632, 18630])).
% 25.59/16.91 tff(18634,plain,
% 25.59/16.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB152, bitIndex1)) | (~v94(constB152)) | v123(constB152, bitIndex1))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18635,plain,
% 25.59/16.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1) | (~v94(constB152))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18634, 18633])).
% 25.59/16.91 tff(18636,plain,
% 25.59/16.91 ((~v84(constB152, bitIndex1)) | (~v94(constB152))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18635, 509, 18629])).
% 25.59/16.91 tff(18637,plain,
% 25.59/16.91 (~v84(constB152, bitIndex1)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18636, 18563])).
% 25.59/16.91 tff(18638,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18639,plain,
% 25.59/16.91 (((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1))) <=> (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18640,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1))))),
% 25.59/16.91 inference(monotonicity,[status(thm)],[18639])).
% 25.59/16.91 tff(18641,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 25.59/16.91 inference(transitivity,[status(thm)],[18640, 18638])).
% 25.59/16.91 tff(18642,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18643,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB152, bitIndex1) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex1))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18642, 18641])).
% 25.59/16.91 tff(18644,plain,
% 25.59/16.91 (v84(constB152, bitIndex1) | v94(constB153) | (~v84(constB153, bitIndex1))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18643, 126, 18591])).
% 25.59/16.91 tff(18645,plain,
% 25.59/16.91 (v84(constB152, bitIndex1) | (~v84(constB153, bitIndex1))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18644, 18603])).
% 25.59/16.91 tff(18646,plain,
% 25.59/16.91 (~v84(constB153, bitIndex1)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18645, 18637])).
% 25.59/16.91 tff(18647,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB151)) | (~v124(constB151, bitIndex0)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18648,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB151)) | (~v124(constB151, bitIndex0)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18649,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB151)) | (~v124(constB151, bitIndex0))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18648, 18647])).
% 25.59/16.91 tff(18650,plain,
% 25.59/16.91 (~v124(constB151, bitIndex0)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18649, 1410, 18310])).
% 25.59/16.91 tff(18651,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18652,plain,
% 25.59/16.91 ((v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0))) <=> ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18653,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0)))),
% 25.59/16.91 inference(monotonicity,[status(thm)],[18652])).
% 25.59/16.91 tff(18654,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0))),
% 25.59/16.91 inference(transitivity,[status(thm)],[18653, 18651])).
% 25.59/16.91 tff(18655,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB151) | v124(constB151, bitIndex0) | (~v121(constB151, bitIndex0)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18656,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB151, bitIndex0)) | v26(constB151) | v124(constB151, bitIndex0)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18655, 18654])).
% 25.59/16.91 tff(18657,plain,
% 25.59/16.91 ((~v121(constB151, bitIndex0)) | v124(constB151, bitIndex0)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18656, 890, 18517])).
% 25.59/16.91 tff(18658,plain,
% 25.59/16.91 (~v121(constB151, bitIndex0)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18657, 18650])).
% 25.59/16.91 tff(18659,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18660,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18661,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB151, constB152)) | v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18660, 18659])).
% 25.59/16.91 tff(18662,plain,
% 25.59/16.91 (v121(constB151, bitIndex0) | (~v123(constB152, bitIndex0))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18661, 908, 18377])).
% 25.59/16.91 tff(18663,plain,
% 25.59/16.91 (~v123(constB152, bitIndex0)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18662, 18658])).
% 25.59/16.91 tff(18664,plain,
% 25.59/16.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18665,plain,
% 25.59/16.91 (((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0)) <=> ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18666,plain,
% 25.59/16.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152))))),
% 25.59/16.91 inference(monotonicity,[status(thm)],[18665])).
% 25.59/16.91 tff(18667,plain,
% 25.59/16.91 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152)))),
% 25.59/16.91 inference(transitivity,[status(thm)],[18666, 18664])).
% 25.59/16.91 tff(18668,plain,
% 25.59/16.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB152, bitIndex0)) | (~v94(constB152)) | v123(constB152, bitIndex0))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18669,plain,
% 25.59/16.91 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0) | (~v94(constB152))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18668, 18667])).
% 25.59/16.91 tff(18670,plain,
% 25.59/16.91 ((~v84(constB152, bitIndex0)) | (~v94(constB152))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18669, 923, 18663])).
% 25.59/16.91 tff(18671,plain,
% 25.59/16.91 (~v84(constB152, bitIndex0)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18670, 18563])).
% 25.59/16.91 tff(18672,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18673,plain,
% 25.59/16.91 (((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0))) <=> (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18674,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0))))),
% 25.59/16.91 inference(monotonicity,[status(thm)],[18673])).
% 25.59/16.91 tff(18675,plain,
% 25.59/16.91 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 25.59/16.91 inference(transitivity,[status(thm)],[18674, 18672])).
% 25.59/16.91 tff(18676,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB152, constB153)) | v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18677,plain,
% 25.59/16.91 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB152, bitIndex0) | (~nextState(constB152, constB153)) | v94(constB153) | (~v84(constB153, bitIndex0))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18676, 18675])).
% 25.59/16.91 tff(18678,plain,
% 25.59/16.91 (v84(constB152, bitIndex0) | v94(constB153) | (~v84(constB153, bitIndex0))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18677, 147, 18591])).
% 25.59/16.91 tff(18679,plain,
% 25.59/16.91 (v84(constB152, bitIndex0) | (~v84(constB153, bitIndex0))),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18678, 18603])).
% 25.59/16.91 tff(18680,plain,
% 25.59/16.91 (~v84(constB153, bitIndex0)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18679, 18671])).
% 25.59/16.91 tff(18681,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18682,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18683,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)) | v172(constB153)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18682, 18681])).
% 25.59/16.91 tff(18684,plain,
% 25.59/16.91 (v172(constB153)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18683, 1454, 18680, 18646, 18612])).
% 25.59/16.91 tff(18685,assumption,(v172(constB153)), introduced(assumption)).
% 25.59/16.91 tff(18686,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB153) | (~v172(constB153)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB153) | (~v172(constB153)))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18687,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB153) | (~v172(constB153)))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18688,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB153) | (~v172(constB153))),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18687, 18686])).
% 25.59/16.91 tff(18689,plain,
% 25.59/16.91 (v109(constB153)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18688, 1468, 18685])).
% 25.59/16.91 tff(18690,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB153)) | v108(constB153))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB153)) | v108(constB153))),
% 25.59/16.91 inference(rewrite,[status(thm)],[])).
% 25.59/16.91 tff(18691,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB153)) | v108(constB153))),
% 25.59/16.91 inference(quant_inst,[status(thm)],[])).
% 25.59/16.91 tff(18692,plain,
% 25.59/16.91 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB153)) | v108(constB153)),
% 25.59/16.91 inference(modus_ponens,[status(thm)],[18691, 18690])).
% 25.59/16.91 tff(18693,plain,
% 25.59/16.91 (v108(constB153)),
% 25.59/16.91 inference(unit_resolution,[status(thm)],[18692, 235, 18689])).
% 25.59/16.91 tff(18694,plain,
% 25.59/16.91 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB153) | (~v108(constB153)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB153) | (~v108(constB153)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18695,plain,
% 25.59/16.92 (((~v108(constB153)) | v107(constB153)) <=> (v107(constB153) | (~v108(constB153)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18696,plain,
% 25.59/16.92 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB153)) | v107(constB153))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB153) | (~v108(constB153))))),
% 25.59/16.92 inference(monotonicity,[status(thm)],[18695])).
% 25.59/16.92 tff(18697,plain,
% 25.59/16.92 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB153)) | v107(constB153))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB153) | (~v108(constB153)))),
% 25.59/16.92 inference(transitivity,[status(thm)],[18696, 18694])).
% 25.59/16.92 tff(18698,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB153)) | v107(constB153))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18699,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB153) | (~v108(constB153))),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18698, 18697])).
% 25.59/16.92 tff(18700,plain,
% 25.59/16.92 (v107(constB153)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18699, 249, 18693])).
% 25.59/16.92 tff(18701,assumption,(v26(constB153)), introduced(assumption)).
% 25.59/16.92 tff(18702,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB153))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18703,plain,
% 25.59/16.92 ($false),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18702, 18, 18701])).
% 25.59/16.92 tff(18704,plain,(~v26(constB153)), inference(lemma,lemma(discharge,[]))).
% 25.59/16.92 tff(18705,plain,
% 25.59/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB153) | (~v107(constB153)) | v106(constB153))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB153) | (~v107(constB153)) | v106(constB153))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18706,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB153) | (~v107(constB153)) | v106(constB153))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18707,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB153) | (~v107(constB153)) | v106(constB153)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18706, 18705])).
% 25.59/16.92 tff(18708,plain,
% 25.59/16.92 ((~v107(constB153)) | v106(constB153)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18707, 263, 18704])).
% 25.59/16.92 tff(18709,plain,
% 25.59/16.92 (v106(constB153)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18708, 18700])).
% 25.59/16.92 tff(18710,plain,
% 25.59/16.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB153) | (~v106(constB153)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB153) | (~v106(constB153)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18711,plain,
% 25.59/16.92 (((~v106(constB153)) | v102(constB153)) <=> (v102(constB153) | (~v106(constB153)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18712,plain,
% 25.59/16.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB153)) | v102(constB153))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB153) | (~v106(constB153))))),
% 25.59/16.92 inference(monotonicity,[status(thm)],[18711])).
% 25.59/16.92 tff(18713,plain,
% 25.59/16.92 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB153)) | v102(constB153))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB153) | (~v106(constB153)))),
% 25.59/16.92 inference(transitivity,[status(thm)],[18712, 18710])).
% 25.59/16.92 tff(18714,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB153)) | v102(constB153))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18715,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB153) | (~v106(constB153))),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18714, 18713])).
% 25.59/16.92 tff(18716,plain,
% 25.59/16.92 (v102(constB153)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18715, 275, 18709])).
% 25.59/16.92 tff(18717,plain,
% 25.59/16.92 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18718,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_153_1')).
% 25.59/16.92 tff(18719,plain,
% 25.59/16.92 (nextState(constB153, constB154)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18718, 18717])).
% 25.59/16.92 tff(18720,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18721,plain,
% 25.59/16.92 (((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154)) <=> ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18722,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153))))),
% 25.59/16.92 inference(monotonicity,[status(thm)],[18721])).
% 25.59/16.92 tff(18723,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153)))),
% 25.59/16.92 inference(transitivity,[status(thm)],[18722, 18720])).
% 25.59/16.92 tff(18724,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB153, constB154)) | (~v102(constB153)) | v104(constB154))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18725,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB153, constB154)) | v104(constB154) | (~v102(constB153))),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 25.59/16.92 tff(18726,plain,
% 25.59/16.92 (v104(constB154) | (~v102(constB153))),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18725, 295, 18719])).
% 25.59/16.92 tff(18727,plain,
% 25.59/16.92 (v104(constB154)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18726, 18716])).
% 25.59/16.92 tff(18728,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18729,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154)))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18730,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB153) | (~nextState(constB153, constB154)) | (~v98(constB154))),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18729, 18728])).
% 25.59/16.92 tff(18731,plain,
% 25.59/16.92 (~v98(constB154)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18730, 313, 18719, 18588])).
% 25.59/16.92 tff(18732,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18733,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB153, constB154)) | v96(constB154) | v98(constB154))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18734,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB153, constB154)) | v96(constB154) | v98(constB154)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18733, 18732])).
% 25.59/16.92 tff(18735,plain,
% 25.59/16.92 (v96(constB154) | v98(constB154)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18734, 327, 18719])).
% 25.59/16.92 tff(18736,plain,
% 25.59/16.92 (v96(constB154)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18735, 18731])).
% 25.59/16.92 tff(18737,plain,
% 25.59/16.92 (v1(constB154) <=> v1(constB154)),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18738,axiom,(v1(constB154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_154_1')).
% 25.59/16.92 tff(18739,plain,
% 25.59/16.92 (v1(constB154)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18738, 18737])).
% 25.59/16.92 tff(18740,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18741,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154)))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18742,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB153, constB154)) | v95(constB154) | (~v96(constB154)) | (~v1(constB154))),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18741, 18740])).
% 25.59/16.92 tff(18743,plain,
% 25.59/16.92 (v95(constB154) | (~v96(constB154))),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18742, 345, 18719, 18739])).
% 25.59/16.92 tff(18744,plain,
% 25.59/16.92 (v95(constB154)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18743, 18736])).
% 25.59/16.92 tff(18745,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18746,plain,
% 25.59/16.92 (((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154)) <=> ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18747,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154))))),
% 25.59/16.92 inference(monotonicity,[status(thm)],[18746])).
% 25.59/16.92 tff(18748,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154)))),
% 25.59/16.92 inference(transitivity,[status(thm)],[18747, 18745])).
% 25.59/16.92 tff(18749,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB153, constB154)) | (~v95(constB154)) | (~v104(constB154)) | v94(constB154))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18750,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB153, constB154)) | v94(constB154) | (~v95(constB154)) | (~v104(constB154))),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18749, 18748])).
% 25.59/16.92 tff(18751,plain,
% 25.59/16.92 (v94(constB154) | (~v95(constB154)) | (~v104(constB154))),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18750, 360, 18719])).
% 25.59/16.92 tff(18752,plain,
% 25.59/16.92 (v94(constB154) | (~v104(constB154))),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18751, 18744])).
% 25.59/16.92 tff(18753,plain,
% 25.59/16.92 (v94(constB154)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18752, 18727])).
% 25.59/16.92 tff(18754,plain,
% 25.59/16.92 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB153)) | v124(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB153)) | v124(constB153, bitIndex2))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18755,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB153)) | v124(constB153, bitIndex2))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18756,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB153)) | v124(constB153, bitIndex2)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18755, 18754])).
% 25.59/16.92 tff(18757,plain,
% 25.59/16.92 (v124(constB153, bitIndex2)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18756, 1539, 18685])).
% 25.59/16.92 tff(18758,plain,
% 25.59/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18759,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18760,plain,
% 25.59/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB153) | (~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18759, 18758])).
% 25.59/16.92 tff(18761,plain,
% 25.59/16.92 ((~v124(constB153, bitIndex2)) | v121(constB153, bitIndex2)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18760, 1287, 18704])).
% 25.59/16.92 tff(18762,plain,
% 25.59/16.92 (v121(constB153, bitIndex2)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18761, 18757])).
% 25.59/16.92 tff(18763,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18764,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18765,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18764, 18763])).
% 25.59/16.92 tff(18766,plain,
% 25.59/16.92 ((~v121(constB153, bitIndex2)) | v123(constB154, bitIndex2)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18765, 1302, 18719])).
% 25.59/16.92 tff(18767,plain,
% 25.59/16.92 (v123(constB154, bitIndex2)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18766, 18762])).
% 25.59/16.92 tff(18768,plain,
% 25.59/16.92 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18769,plain,
% 25.59/16.92 ((v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2))) <=> (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18770,plain,
% 25.59/16.92 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154))))),
% 25.59/16.92 inference(monotonicity,[status(thm)],[18769])).
% 25.59/16.92 tff(18771,plain,
% 25.59/16.92 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154)))),
% 25.59/16.92 inference(transitivity,[status(thm)],[18770, 18768])).
% 25.59/16.92 tff(18772,plain,
% 25.59/16.92 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB154, bitIndex2) | (~v94(constB154)) | (~v123(constB154, bitIndex2)))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18773,plain,
% 25.59/16.92 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2)) | (~v94(constB154))),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18772, 18771])).
% 25.59/16.92 tff(18774,plain,
% 25.59/16.92 (v84(constB154, bitIndex2) | (~v94(constB154))),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18773, 1317, 18767])).
% 25.59/16.92 tff(18775,plain,
% 25.59/16.92 (v84(constB154, bitIndex2)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18774, 18753])).
% 25.59/16.92 tff(18776,plain,
% 25.59/16.92 ((~v1(constB155)) <=> (~v1(constB155))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18777,axiom,(~v1(constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_155_1_1')).
% 25.59/16.92 tff(18778,plain,
% 25.59/16.92 (~v1(constB155)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18777, 18776])).
% 25.59/16.92 tff(18779,plain,
% 25.59/16.92 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18780,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_154_1')).
% 25.59/16.92 tff(18781,plain,
% 25.59/16.92 (nextState(constB154, constB155)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18780, 18779])).
% 25.59/16.92 tff(18782,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18783,plain,
% 25.59/16.92 (((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155)) <=> (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18784,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155))))),
% 25.59/16.92 inference(monotonicity,[status(thm)],[18783])).
% 25.59/16.92 tff(18785,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155)))),
% 25.59/16.92 inference(transitivity,[status(thm)],[18784, 18782])).
% 25.59/16.92 tff(18786,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB154, constB155)) | (~v95(constB155)) | v1(constB155))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18787,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB155) | (~nextState(constB154, constB155)) | (~v95(constB155))),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18786, 18785])).
% 25.59/16.92 tff(18788,plain,
% 25.59/16.92 (~v95(constB155)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18787, 73, 18781, 18778])).
% 25.59/16.92 tff(18789,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18790,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155)))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18791,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB154, constB155)) | v95(constB155) | (~v94(constB155))),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18790, 18789])).
% 25.59/16.92 tff(18792,plain,
% 25.59/16.92 (v95(constB155) | (~v94(constB155))),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18791, 90, 18781])).
% 25.59/16.92 tff(18793,plain,
% 25.59/16.92 (~v94(constB155)),
% 25.59/16.92 inference(unit_resolution,[status(thm)],[18792, 18788])).
% 25.59/16.92 tff(18794,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18795,plain,
% 25.59/16.92 (((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2)) <=> ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 25.59/16.92 inference(rewrite,[status(thm)],[])).
% 25.59/16.92 tff(18796,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2)))),
% 25.59/16.92 inference(monotonicity,[status(thm)],[18795])).
% 25.59/16.92 tff(18797,plain,
% 25.59/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2))),
% 25.59/16.92 inference(transitivity,[status(thm)],[18796, 18794])).
% 25.59/16.92 tff(18798,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2))),
% 25.59/16.92 inference(quant_inst,[status(thm)],[])).
% 25.59/16.92 tff(18799,plain,
% 25.59/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB154, bitIndex2)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex2)),
% 25.59/16.92 inference(modus_ponens,[status(thm)],[18798, 18797])).
% 25.59/16.92 tff(18800,plain,
% 25.59/16.92 ((~v84(constB154, bitIndex2)) | v94(constB155) | v84(constB155, bitIndex2)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18799, 1353, 18781])).
% 25.61/16.92 tff(18801,plain,
% 25.61/16.92 ((~v84(constB154, bitIndex2)) | v84(constB155, bitIndex2)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18800, 18793])).
% 25.61/16.92 tff(18802,plain,
% 25.61/16.92 (v84(constB155, bitIndex2)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18801, 18775])).
% 25.61/16.92 tff(18803,plain,
% 25.61/16.92 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB153)) | v124(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB153)) | v124(constB153, bitIndex0))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18804,plain,
% 25.61/16.92 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB153)) | v124(constB153, bitIndex0))),
% 25.61/16.92 inference(quant_inst,[status(thm)],[])).
% 25.61/16.92 tff(18805,plain,
% 25.61/16.92 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB153)) | v124(constB153, bitIndex0)),
% 25.61/16.92 inference(modus_ponens,[status(thm)],[18804, 18803])).
% 25.61/16.92 tff(18806,plain,
% 25.61/16.92 (v124(constB153, bitIndex0)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18805, 1636, 18685])).
% 25.61/16.92 tff(18807,plain,
% 25.61/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB153) | (~v124(constB153, bitIndex0)) | v121(constB153, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB153) | (~v124(constB153, bitIndex0)) | v121(constB153, bitIndex0))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18808,plain,
% 25.61/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB153) | (~v124(constB153, bitIndex0)) | v121(constB153, bitIndex0))),
% 25.61/16.92 inference(quant_inst,[status(thm)],[])).
% 25.61/16.92 tff(18809,plain,
% 25.61/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB153) | (~v124(constB153, bitIndex0)) | v121(constB153, bitIndex0)),
% 25.61/16.92 inference(modus_ponens,[status(thm)],[18808, 18807])).
% 25.61/16.92 tff(18810,plain,
% 25.61/16.92 ((~v124(constB153, bitIndex0)) | v121(constB153, bitIndex0)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18809, 547, 18704])).
% 25.61/16.92 tff(18811,plain,
% 25.61/16.92 (v121(constB153, bitIndex0)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18810, 18806])).
% 25.61/16.92 tff(18812,plain,
% 25.61/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18813,plain,
% 25.61/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB153, constB154)) | (~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0))),
% 25.61/16.92 inference(quant_inst,[status(thm)],[])).
% 25.61/16.92 tff(18814,plain,
% 25.61/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB153, constB154)) | (~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0)),
% 25.61/16.92 inference(modus_ponens,[status(thm)],[18813, 18812])).
% 25.61/16.92 tff(18815,plain,
% 25.61/16.92 ((~v121(constB153, bitIndex0)) | v123(constB154, bitIndex0)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18814, 562, 18719])).
% 25.61/16.92 tff(18816,plain,
% 25.61/16.92 (v123(constB154, bitIndex0)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18815, 18811])).
% 25.61/16.92 tff(18817,plain,
% 25.61/16.92 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154)))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18818,plain,
% 25.61/16.92 ((v84(constB154, bitIndex0) | (~v94(constB154)) | (~v123(constB154, bitIndex0))) <=> (v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154)))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18819,plain,
% 25.61/16.92 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v94(constB154)) | (~v123(constB154, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154))))),
% 25.61/16.92 inference(monotonicity,[status(thm)],[18818])).
% 25.61/16.92 tff(18820,plain,
% 25.61/16.92 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v94(constB154)) | (~v123(constB154, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154)))),
% 25.61/16.92 inference(transitivity,[status(thm)],[18819, 18817])).
% 25.61/16.92 tff(18821,plain,
% 25.61/16.92 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB154, bitIndex0) | (~v94(constB154)) | (~v123(constB154, bitIndex0)))),
% 25.61/16.92 inference(quant_inst,[status(thm)],[])).
% 25.61/16.92 tff(18822,plain,
% 25.61/16.92 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0)) | (~v94(constB154))),
% 25.61/16.92 inference(modus_ponens,[status(thm)],[18821, 18820])).
% 25.61/16.92 tff(18823,plain,
% 25.61/16.92 (v84(constB154, bitIndex0) | (~v94(constB154))),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18822, 577, 18816])).
% 25.61/16.92 tff(18824,plain,
% 25.61/16.92 (v84(constB154, bitIndex0)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18823, 18753])).
% 25.61/16.92 tff(18825,plain,
% 25.61/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18826,plain,
% 25.61/16.92 (((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0)) <=> ((~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18827,plain,
% 25.61/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0)))),
% 25.61/16.92 inference(monotonicity,[status(thm)],[18826])).
% 25.61/16.92 tff(18828,plain,
% 25.61/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0))),
% 25.61/16.92 inference(transitivity,[status(thm)],[18827, 18825])).
% 25.61/16.92 tff(18829,plain,
% 25.61/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB154, constB155)) | (~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0))),
% 25.61/16.92 inference(quant_inst,[status(thm)],[])).
% 25.61/16.92 tff(18830,plain,
% 25.61/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB154, bitIndex0)) | (~nextState(constB154, constB155)) | v94(constB155) | v84(constB155, bitIndex0)),
% 25.61/16.92 inference(modus_ponens,[status(thm)],[18829, 18828])).
% 25.61/16.92 tff(18831,plain,
% 25.61/16.92 ((~v84(constB154, bitIndex0)) | v94(constB155) | v84(constB155, bitIndex0)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18830, 595, 18781])).
% 25.61/16.92 tff(18832,plain,
% 25.61/16.92 ((~v84(constB154, bitIndex0)) | v84(constB155, bitIndex0)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18831, 18793])).
% 25.61/16.92 tff(18833,plain,
% 25.61/16.92 (v84(constB155, bitIndex0)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18832, 18824])).
% 25.61/16.92 tff(18834,plain,
% 25.61/16.92 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB153)) | (~v124(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB153)) | (~v124(constB153, bitIndex1)))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18835,plain,
% 25.61/16.92 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB153)) | (~v124(constB153, bitIndex1)))),
% 25.61/16.92 inference(quant_inst,[status(thm)],[])).
% 25.61/16.92 tff(18836,plain,
% 25.61/16.92 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB153)) | (~v124(constB153, bitIndex1))),
% 25.61/16.92 inference(modus_ponens,[status(thm)],[18835, 18834])).
% 25.61/16.92 tff(18837,plain,
% 25.61/16.92 (~v124(constB153, bitIndex1)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18836, 1595, 18685])).
% 25.61/16.92 tff(18838,plain,
% 25.61/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18839,plain,
% 25.61/16.92 ((v26(constB153) | v124(constB153, bitIndex1) | (~v121(constB153, bitIndex1))) <=> ((~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18840,plain,
% 25.61/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB153) | v124(constB153, bitIndex1) | (~v121(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1)))),
% 25.61/16.92 inference(monotonicity,[status(thm)],[18839])).
% 25.61/16.92 tff(18841,plain,
% 25.61/16.92 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB153) | v124(constB153, bitIndex1) | (~v121(constB153, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1))),
% 25.61/16.92 inference(transitivity,[status(thm)],[18840, 18838])).
% 25.61/16.92 tff(18842,plain,
% 25.61/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB153) | v124(constB153, bitIndex1) | (~v121(constB153, bitIndex1)))),
% 25.61/16.92 inference(quant_inst,[status(thm)],[])).
% 25.61/16.92 tff(18843,plain,
% 25.61/16.92 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB153, bitIndex1)) | v26(constB153) | v124(constB153, bitIndex1)),
% 25.61/16.92 inference(modus_ponens,[status(thm)],[18842, 18841])).
% 25.61/16.92 tff(18844,plain,
% 25.61/16.92 ((~v121(constB153, bitIndex1)) | v124(constB153, bitIndex1)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18843, 476, 18704])).
% 25.61/16.92 tff(18845,plain,
% 25.61/16.92 (~v121(constB153, bitIndex1)),
% 25.61/16.92 inference(unit_resolution,[status(thm)],[18844, 18837])).
% 25.61/16.92 tff(18846,plain,
% 25.61/16.92 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1)))),
% 25.61/16.92 inference(rewrite,[status(thm)],[])).
% 25.61/16.92 tff(18847,plain,
% 25.61/16.92 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB153, constB154)) | v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1)))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18848,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB153, constB154)) | v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 25.61/16.93 tff(18849,plain,
% 25.61/16.93 (v121(constB153, bitIndex1) | (~v123(constB154, bitIndex1))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18848, 494, 18719])).
% 25.61/16.93 tff(18850,plain,
% 25.61/16.93 (~v123(constB154, bitIndex1)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18849, 18845])).
% 25.61/16.93 tff(18851,plain,
% 25.61/16.93 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18852,plain,
% 25.61/16.93 (((~v84(constB154, bitIndex1)) | (~v94(constB154)) | v123(constB154, bitIndex1)) <=> ((~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18853,plain,
% 25.61/16.93 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~v94(constB154)) | v123(constB154, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154))))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18852])).
% 25.61/16.93 tff(18854,plain,
% 25.61/16.93 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~v94(constB154)) | v123(constB154, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154)))),
% 25.61/16.93 inference(transitivity,[status(thm)],[18853, 18851])).
% 25.61/16.93 tff(18855,plain,
% 25.61/16.93 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB154, bitIndex1)) | (~v94(constB154)) | v123(constB154, bitIndex1))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18856,plain,
% 25.61/16.93 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1) | (~v94(constB154))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18855, 18854])).
% 25.61/16.93 tff(18857,plain,
% 25.61/16.93 ((~v84(constB154, bitIndex1)) | (~v94(constB154))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18856, 509, 18850])).
% 25.61/16.93 tff(18858,plain,
% 25.61/16.93 (~v84(constB154, bitIndex1)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18857, 18753])).
% 25.61/16.93 tff(18859,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18860,plain,
% 25.61/16.93 (((~nextState(constB154, constB155)) | v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1))) <=> (v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18861,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1))))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18860])).
% 25.61/16.93 tff(18862,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1)))),
% 25.61/16.93 inference(transitivity,[status(thm)],[18861, 18859])).
% 25.61/16.93 tff(18863,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB154, constB155)) | v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1)))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18864,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB154, bitIndex1) | (~nextState(constB154, constB155)) | v94(constB155) | (~v84(constB155, bitIndex1))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18863, 18862])).
% 25.61/16.93 tff(18865,plain,
% 25.61/16.93 (v84(constB154, bitIndex1) | v94(constB155) | (~v84(constB155, bitIndex1))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18864, 126, 18781])).
% 25.61/16.93 tff(18866,plain,
% 25.61/16.93 (v84(constB154, bitIndex1) | (~v84(constB155, bitIndex1))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18865, 18793])).
% 25.61/16.93 tff(18867,plain,
% 25.61/16.93 (~v84(constB155, bitIndex1)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18866, 18858])).
% 25.61/16.93 tff(18868,assumption,(~v118(constB155)), introduced(assumption)).
% 25.61/16.93 tff(18869,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2)) | v118(constB155))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2)) | v118(constB155))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18870,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2)) | v118(constB155))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18871,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2)) | v118(constB155)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18870, 18869])).
% 25.61/16.93 tff(18872,plain,
% 25.61/16.93 ((~v84(constB155, bitIndex0)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex2))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18871, 1677, 18868])).
% 25.61/16.93 tff(18873,plain,
% 25.61/16.93 ($false),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18872, 18867, 18833, 18802])).
% 25.61/16.93 tff(18874,plain,((~v172(constB153)) | v118(constB155)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.93 tff(18875,plain,
% 25.61/16.93 (v118(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18874, 18684])).
% 25.61/16.93 tff(18876,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB155)) | v108(constB155))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB155)) | v108(constB155))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18877,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB155)) | v108(constB155))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18878,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB155)) | v108(constB155)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18877, 18876])).
% 25.61/16.93 tff(18879,plain,
% 25.61/16.93 (v108(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18878, 1688, 18875])).
% 25.61/16.93 tff(18880,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB155) | (~v108(constB155)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB155) | (~v108(constB155)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18881,plain,
% 25.61/16.93 (((~v108(constB155)) | v107(constB155)) <=> (v107(constB155) | (~v108(constB155)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18882,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB155)) | v107(constB155))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB155) | (~v108(constB155))))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18881])).
% 25.61/16.93 tff(18883,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB155)) | v107(constB155))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB155) | (~v108(constB155)))),
% 25.61/16.93 inference(transitivity,[status(thm)],[18882, 18880])).
% 25.61/16.93 tff(18884,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB155)) | v107(constB155))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18885,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB155) | (~v108(constB155))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18884, 18883])).
% 25.61/16.93 tff(18886,plain,
% 25.61/16.93 (v107(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18885, 249, 18879])).
% 25.61/16.93 tff(18887,assumption,(v26(constB155)), introduced(assumption)).
% 25.61/16.93 tff(18888,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB155))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18889,plain,
% 25.61/16.93 ($false),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18888, 18, 18887])).
% 25.61/16.93 tff(18890,plain,(~v26(constB155)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.93 tff(18891,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB155) | (~v107(constB155)) | v106(constB155))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB155) | (~v107(constB155)) | v106(constB155))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18892,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB155) | (~v107(constB155)) | v106(constB155))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18893,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB155) | (~v107(constB155)) | v106(constB155)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18892, 18891])).
% 25.61/16.93 tff(18894,plain,
% 25.61/16.93 ((~v107(constB155)) | v106(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18893, 263, 18890])).
% 25.61/16.93 tff(18895,plain,
% 25.61/16.93 (v106(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18894, 18886])).
% 25.61/16.93 tff(18896,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB155) | (~v106(constB155)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB155) | (~v106(constB155)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18897,plain,
% 25.61/16.93 (((~v106(constB155)) | v102(constB155)) <=> (v102(constB155) | (~v106(constB155)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18898,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB155)) | v102(constB155))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB155) | (~v106(constB155))))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18897])).
% 25.61/16.93 tff(18899,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB155)) | v102(constB155))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB155) | (~v106(constB155)))),
% 25.61/16.93 inference(transitivity,[status(thm)],[18898, 18896])).
% 25.61/16.93 tff(18900,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB155)) | v102(constB155))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18901,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB155) | (~v106(constB155))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18900, 18899])).
% 25.61/16.93 tff(18902,plain,
% 25.61/16.93 (v102(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18901, 275, 18895])).
% 25.61/16.93 tff(18903,plain,
% 25.61/16.93 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18904,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_155_1')).
% 25.61/16.93 tff(18905,plain,
% 25.61/16.93 (nextState(constB155, constB156)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18904, 18903])).
% 25.61/16.93 tff(18906,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18907,plain,
% 25.61/16.93 (((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156)) <=> ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18908,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155))))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18907])).
% 25.61/16.93 tff(18909,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155)))),
% 25.61/16.93 inference(transitivity,[status(thm)],[18908, 18906])).
% 25.61/16.93 tff(18910,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB155, constB156)) | (~v102(constB155)) | v104(constB156))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18911,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB155, constB156)) | v104(constB156) | (~v102(constB155))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18910, 18909])).
% 25.61/16.93 tff(18912,plain,
% 25.61/16.93 (v104(constB156) | (~v102(constB155))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18911, 295, 18905])).
% 25.61/16.93 tff(18913,plain,
% 25.61/16.93 (v104(constB156)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18912, 18902])).
% 25.61/16.93 tff(18914,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18915,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156)))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18916,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB155) | (~nextState(constB155, constB156)) | (~v98(constB156))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18915, 18914])).
% 25.61/16.93 tff(18917,plain,
% 25.61/16.93 (~v98(constB156)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18916, 313, 18905, 18778])).
% 25.61/16.93 tff(18918,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18919,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB155, constB156)) | v96(constB156) | v98(constB156))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18920,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB155, constB156)) | v96(constB156) | v98(constB156)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18919, 18918])).
% 25.61/16.93 tff(18921,plain,
% 25.61/16.93 (v96(constB156) | v98(constB156)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18920, 327, 18905])).
% 25.61/16.93 tff(18922,plain,
% 25.61/16.93 (v96(constB156)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18921, 18917])).
% 25.61/16.93 tff(18923,plain,
% 25.61/16.93 (v1(constB156) <=> v1(constB156)),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18924,axiom,(v1(constB156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_156_1')).
% 25.61/16.93 tff(18925,plain,
% 25.61/16.93 (v1(constB156)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18924, 18923])).
% 25.61/16.93 tff(18926,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18927,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156)))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18928,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB155, constB156)) | v95(constB156) | (~v96(constB156)) | (~v1(constB156))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18927, 18926])).
% 25.61/16.93 tff(18929,plain,
% 25.61/16.93 (v95(constB156) | (~v96(constB156))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18928, 345, 18905, 18925])).
% 25.61/16.93 tff(18930,plain,
% 25.61/16.93 (v95(constB156)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18929, 18922])).
% 25.61/16.93 tff(18931,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18932,plain,
% 25.61/16.93 (((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156)) <=> ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18933,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156))))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18932])).
% 25.61/16.93 tff(18934,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156)))),
% 25.61/16.93 inference(transitivity,[status(thm)],[18933, 18931])).
% 25.61/16.93 tff(18935,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB155, constB156)) | (~v95(constB156)) | (~v104(constB156)) | v94(constB156))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18936,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB155, constB156)) | v94(constB156) | (~v95(constB156)) | (~v104(constB156))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18935, 18934])).
% 25.61/16.93 tff(18937,plain,
% 25.61/16.93 (v94(constB156) | (~v95(constB156)) | (~v104(constB156))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18936, 360, 18905])).
% 25.61/16.93 tff(18938,plain,
% 25.61/16.93 (v94(constB156) | (~v104(constB156))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18937, 18930])).
% 25.61/16.93 tff(18939,plain,
% 25.61/16.93 (v94(constB156)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18938, 18913])).
% 25.61/16.93 tff(18940,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB155)) | v124(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB155)) | v124(constB155, bitIndex2))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18941,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB155)) | v124(constB155, bitIndex2))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18942,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB155)) | v124(constB155, bitIndex2)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18941, 18940])).
% 25.61/16.93 tff(18943,plain,
% 25.61/16.93 (v124(constB155, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18942, 1761, 18875])).
% 25.61/16.93 tff(18944,plain,
% 25.61/16.93 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB155) | (~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB155) | (~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18945,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB155) | (~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18946,plain,
% 25.61/16.93 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB155) | (~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18945, 18944])).
% 25.61/16.93 tff(18947,plain,
% 25.61/16.93 ((~v124(constB155, bitIndex2)) | v121(constB155, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18946, 1287, 18890])).
% 25.61/16.93 tff(18948,plain,
% 25.61/16.93 (v121(constB155, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18947, 18943])).
% 25.61/16.93 tff(18949,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18950,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18951,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18950, 18949])).
% 25.61/16.93 tff(18952,plain,
% 25.61/16.93 ((~v121(constB155, bitIndex2)) | v123(constB156, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18951, 1302, 18905])).
% 25.61/16.93 tff(18953,plain,
% 25.61/16.93 (v123(constB156, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18952, 18948])).
% 25.61/16.93 tff(18954,plain,
% 25.61/16.93 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18955,plain,
% 25.61/16.93 ((v84(constB156, bitIndex2) | (~v94(constB156)) | (~v123(constB156, bitIndex2))) <=> (v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18956,plain,
% 25.61/16.93 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v94(constB156)) | (~v123(constB156, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156))))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18955])).
% 25.61/16.93 tff(18957,plain,
% 25.61/16.93 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v94(constB156)) | (~v123(constB156, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156)))),
% 25.61/16.93 inference(transitivity,[status(thm)],[18956, 18954])).
% 25.61/16.93 tff(18958,plain,
% 25.61/16.93 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB156, bitIndex2) | (~v94(constB156)) | (~v123(constB156, bitIndex2)))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18959,plain,
% 25.61/16.93 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2)) | (~v94(constB156))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18958, 18957])).
% 25.61/16.93 tff(18960,plain,
% 25.61/16.93 (v84(constB156, bitIndex2) | (~v94(constB156))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18959, 1317, 18953])).
% 25.61/16.93 tff(18961,plain,
% 25.61/16.93 (v84(constB156, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18960, 18939])).
% 25.61/16.93 tff(18962,plain,
% 25.61/16.93 ((~v1(constB157)) <=> (~v1(constB157))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18963,axiom,(~v1(constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_157_1_1')).
% 25.61/16.93 tff(18964,plain,
% 25.61/16.93 (~v1(constB157)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18963, 18962])).
% 25.61/16.93 tff(18965,plain,
% 25.61/16.93 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18966,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_156_1')).
% 25.61/16.93 tff(18967,plain,
% 25.61/16.93 (nextState(constB156, constB157)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18966, 18965])).
% 25.61/16.93 tff(18968,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18969,plain,
% 25.61/16.93 (((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157)) <=> (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18970,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157))))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18969])).
% 25.61/16.93 tff(18971,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157)))),
% 25.61/16.93 inference(transitivity,[status(thm)],[18970, 18968])).
% 25.61/16.93 tff(18972,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB156, constB157)) | (~v95(constB157)) | v1(constB157))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18973,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB157) | (~nextState(constB156, constB157)) | (~v95(constB157))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18972, 18971])).
% 25.61/16.93 tff(18974,plain,
% 25.61/16.93 (~v95(constB157)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18973, 73, 18967, 18964])).
% 25.61/16.93 tff(18975,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18976,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157)))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18977,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB156, constB157)) | v95(constB157) | (~v94(constB157))),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18976, 18975])).
% 25.61/16.93 tff(18978,plain,
% 25.61/16.93 (v95(constB157) | (~v94(constB157))),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18977, 90, 18967])).
% 25.61/16.93 tff(18979,plain,
% 25.61/16.93 (~v94(constB157)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18978, 18974])).
% 25.61/16.93 tff(18980,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18981,plain,
% 25.61/16.93 (((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2)) <=> ((~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2))),
% 25.61/16.93 inference(rewrite,[status(thm)],[])).
% 25.61/16.93 tff(18982,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2)))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18981])).
% 25.61/16.93 tff(18983,plain,
% 25.61/16.93 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2))),
% 25.61/16.93 inference(transitivity,[status(thm)],[18982, 18980])).
% 25.61/16.93 tff(18984,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2))),
% 25.61/16.93 inference(quant_inst,[status(thm)],[])).
% 25.61/16.93 tff(18985,plain,
% 25.61/16.93 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB156, bitIndex2)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex2)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[18984, 18983])).
% 25.61/16.93 tff(18986,plain,
% 25.61/16.93 ((~v84(constB156, bitIndex2)) | v94(constB157) | v84(constB157, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18985, 1353, 18967])).
% 25.61/16.93 tff(18987,plain,
% 25.61/16.93 ((~v84(constB156, bitIndex2)) | v84(constB157, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18986, 18979])).
% 25.61/16.93 tff(18988,plain,
% 25.61/16.93 (v84(constB157, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18987, 18961])).
% 25.61/16.93 tff(18989,plain,
% 25.61/16.93 ($false),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18988, 16285])).
% 25.61/16.93 tff(18990,plain,((~(constB157 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.93 tff(18991,plain,
% 25.61/16.93 (~(constB157 = sK0_VarCurr)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18990, 5])).
% 25.61/16.93 tff(18992,assumption,(constB189 = sK0_VarCurr), introduced(assumption)).
% 25.61/16.93 tff(18993,plain,
% 25.61/16.93 (v84(constB189, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18992])).
% 25.61/16.93 tff(18994,plain,
% 25.61/16.93 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB189, bitIndex2)),
% 25.61/16.93 inference(symmetry,[status(thm)],[18993])).
% 25.61/16.93 tff(18995,plain,
% 25.61/16.93 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB189, bitIndex2))),
% 25.61/16.93 inference(monotonicity,[status(thm)],[18994])).
% 25.61/16.93 tff(18996,plain,
% 25.61/16.93 (~v84(constB189, bitIndex2)),
% 25.61/16.93 inference(modus_ponens,[status(thm)],[5, 18995])).
% 25.61/16.93 tff(18997,assumption,(v118(constB155)), introduced(assumption)).
% 25.61/16.93 tff(18998,plain,
% 25.61/16.93 (v108(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18878, 1688, 18997])).
% 25.61/16.93 tff(18999,plain,
% 25.61/16.93 (v107(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18885, 249, 18998])).
% 25.61/16.93 tff(19000,plain,
% 25.61/16.93 (v106(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18894, 18999])).
% 25.61/16.93 tff(19001,plain,
% 25.61/16.93 (v102(constB155)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18901, 275, 19000])).
% 25.61/16.93 tff(19002,plain,
% 25.61/16.93 (v104(constB156)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18912, 19001])).
% 25.61/16.93 tff(19003,plain,
% 25.61/16.93 (v94(constB156)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18938, 19002])).
% 25.61/16.93 tff(19004,plain,
% 25.61/16.93 (v124(constB155, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18942, 1761, 18997])).
% 25.61/16.93 tff(19005,plain,
% 25.61/16.93 (v121(constB155, bitIndex2)),
% 25.61/16.93 inference(unit_resolution,[status(thm)],[18947, 19004])).
% 25.61/16.93 tff(19006,plain,
% 25.61/16.94 (v123(constB156, bitIndex2)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[18952, 19005])).
% 25.61/16.94 tff(19007,plain,
% 25.61/16.94 (v84(constB156, bitIndex2) | (~v94(constB156))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[18959, 1317, 19006])).
% 25.61/16.94 tff(19008,plain,
% 25.61/16.94 (v84(constB156, bitIndex2)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19007, 19003])).
% 25.61/16.94 tff(19009,plain,
% 25.61/16.94 (v84(constB157, bitIndex2)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[18987, 19008])).
% 25.61/16.94 tff(19010,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB155)) | v124(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB155)) | v124(constB155, bitIndex1))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19011,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB155)) | v124(constB155, bitIndex1))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19012,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB155)) | v124(constB155, bitIndex1)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19011, 19010])).
% 25.61/16.94 tff(19013,plain,
% 25.61/16.94 (v124(constB155, bitIndex1)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19012, 1817, 18997])).
% 25.61/16.94 tff(19014,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB155) | (~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB155) | (~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19015,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB155) | (~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19016,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB155) | (~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19015, 19014])).
% 25.61/16.94 tff(19017,plain,
% 25.61/16.94 ((~v124(constB155, bitIndex1)) | v121(constB155, bitIndex1)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19016, 812, 18890])).
% 25.61/16.94 tff(19018,plain,
% 25.61/16.94 (v121(constB155, bitIndex1)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19017, 19013])).
% 25.61/16.94 tff(19019,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19020,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB155, constB156)) | (~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19021,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB155, constB156)) | (~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19020, 19019])).
% 25.61/16.94 tff(19022,plain,
% 25.61/16.94 ((~v121(constB155, bitIndex1)) | v123(constB156, bitIndex1)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19021, 827, 18905])).
% 25.61/16.94 tff(19023,plain,
% 25.61/16.94 (v123(constB156, bitIndex1)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19022, 19018])).
% 25.61/16.94 tff(19024,plain,
% 25.61/16.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19025,plain,
% 25.61/16.94 ((v84(constB156, bitIndex1) | (~v94(constB156)) | (~v123(constB156, bitIndex1))) <=> (v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19026,plain,
% 25.61/16.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v94(constB156)) | (~v123(constB156, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156))))),
% 25.61/16.94 inference(monotonicity,[status(thm)],[19025])).
% 25.61/16.94 tff(19027,plain,
% 25.61/16.94 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v94(constB156)) | (~v123(constB156, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156)))),
% 25.61/16.94 inference(transitivity,[status(thm)],[19026, 19024])).
% 25.61/16.94 tff(19028,plain,
% 25.61/16.94 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB156, bitIndex1) | (~v94(constB156)) | (~v123(constB156, bitIndex1)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19029,plain,
% 25.61/16.94 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1)) | (~v94(constB156))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19028, 19027])).
% 25.61/16.94 tff(19030,plain,
% 25.61/16.94 (v84(constB156, bitIndex1) | (~v94(constB156))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19029, 842, 19023])).
% 25.61/16.94 tff(19031,plain,
% 25.61/16.94 (v84(constB156, bitIndex1)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19030, 19003])).
% 25.61/16.94 tff(19032,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19033,plain,
% 25.61/16.94 (((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1)) <=> ((~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19034,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1)))),
% 25.61/16.94 inference(monotonicity,[status(thm)],[19033])).
% 25.61/16.94 tff(19035,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1))),
% 25.61/16.94 inference(transitivity,[status(thm)],[19034, 19032])).
% 25.61/16.94 tff(19036,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB156, constB157)) | (~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19037,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB156, bitIndex1)) | (~nextState(constB156, constB157)) | v94(constB157) | v84(constB157, bitIndex1)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19036, 19035])).
% 25.61/16.94 tff(19038,plain,
% 25.61/16.94 ((~v84(constB156, bitIndex1)) | v94(constB157) | v84(constB157, bitIndex1)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19037, 860, 18967])).
% 25.61/16.94 tff(19039,plain,
% 25.61/16.94 ((~v84(constB156, bitIndex1)) | v84(constB157, bitIndex1)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19038, 18979])).
% 25.61/16.94 tff(19040,plain,
% 25.61/16.94 (v84(constB157, bitIndex1)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19039, 19031])).
% 25.61/16.94 tff(19041,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB155)) | (~v124(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB155)) | (~v124(constB155, bitIndex0)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19042,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB155)) | (~v124(constB155, bitIndex0)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19043,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB155)) | (~v124(constB155, bitIndex0))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19042, 19041])).
% 25.61/16.94 tff(19044,plain,
% 25.61/16.94 (~v124(constB155, bitIndex0)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19043, 1855, 18997])).
% 25.61/16.94 tff(19045,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19046,plain,
% 25.61/16.94 ((v26(constB155) | v124(constB155, bitIndex0) | (~v121(constB155, bitIndex0))) <=> ((~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19047,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB155) | v124(constB155, bitIndex0) | (~v121(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0)))),
% 25.61/16.94 inference(monotonicity,[status(thm)],[19046])).
% 25.61/16.94 tff(19048,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB155) | v124(constB155, bitIndex0) | (~v121(constB155, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0))),
% 25.61/16.94 inference(transitivity,[status(thm)],[19047, 19045])).
% 25.61/16.94 tff(19049,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB155) | v124(constB155, bitIndex0) | (~v121(constB155, bitIndex0)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19050,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB155, bitIndex0)) | v26(constB155) | v124(constB155, bitIndex0)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19049, 19048])).
% 25.61/16.94 tff(19051,plain,
% 25.61/16.94 ((~v121(constB155, bitIndex0)) | v124(constB155, bitIndex0)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19050, 890, 18890])).
% 25.61/16.94 tff(19052,plain,
% 25.61/16.94 (~v121(constB155, bitIndex0)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19051, 19044])).
% 25.61/16.94 tff(19053,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19054,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB155, constB156)) | v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19055,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB155, constB156)) | v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19054, 19053])).
% 25.61/16.94 tff(19056,plain,
% 25.61/16.94 (v121(constB155, bitIndex0) | (~v123(constB156, bitIndex0))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19055, 908, 18905])).
% 25.61/16.94 tff(19057,plain,
% 25.61/16.94 (~v123(constB156, bitIndex0)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19056, 19052])).
% 25.61/16.94 tff(19058,plain,
% 25.61/16.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19059,plain,
% 25.61/16.94 (((~v84(constB156, bitIndex0)) | (~v94(constB156)) | v123(constB156, bitIndex0)) <=> ((~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19060,plain,
% 25.61/16.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~v94(constB156)) | v123(constB156, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156))))),
% 25.61/16.94 inference(monotonicity,[status(thm)],[19059])).
% 25.61/16.94 tff(19061,plain,
% 25.61/16.94 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~v94(constB156)) | v123(constB156, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156)))),
% 25.61/16.94 inference(transitivity,[status(thm)],[19060, 19058])).
% 25.61/16.94 tff(19062,plain,
% 25.61/16.94 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB156, bitIndex0)) | (~v94(constB156)) | v123(constB156, bitIndex0))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19063,plain,
% 25.61/16.94 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0) | (~v94(constB156))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19062, 19061])).
% 25.61/16.94 tff(19064,plain,
% 25.61/16.94 ((~v84(constB156, bitIndex0)) | (~v94(constB156))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19063, 923, 19057])).
% 25.61/16.94 tff(19065,plain,
% 25.61/16.94 (~v84(constB156, bitIndex0)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19064, 19003])).
% 25.61/16.94 tff(19066,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19067,plain,
% 25.61/16.94 (((~nextState(constB156, constB157)) | v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0))) <=> (v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19068,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0))))),
% 25.61/16.94 inference(monotonicity,[status(thm)],[19067])).
% 25.61/16.94 tff(19069,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0)))),
% 25.61/16.94 inference(transitivity,[status(thm)],[19068, 19066])).
% 25.61/16.94 tff(19070,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB156, constB157)) | v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19071,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB156, bitIndex0) | (~nextState(constB156, constB157)) | v94(constB157) | (~v84(constB157, bitIndex0))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19070, 19069])).
% 25.61/16.94 tff(19072,plain,
% 25.61/16.94 (v84(constB156, bitIndex0) | v94(constB157) | (~v84(constB157, bitIndex0))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19071, 147, 18967])).
% 25.61/16.94 tff(19073,plain,
% 25.61/16.94 (v84(constB156, bitIndex0) | (~v84(constB157, bitIndex0))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19072, 18979])).
% 25.61/16.94 tff(19074,plain,
% 25.61/16.94 (~v84(constB157, bitIndex0)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19073, 19065])).
% 25.61/16.94 tff(19075,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)) | v119(constB157))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)) | v119(constB157))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19076,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)) | v119(constB157))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19077,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)) | v119(constB157)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 25.61/16.94 tff(19078,plain,
% 25.61/16.94 (v119(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19077, 1899, 19074, 19040, 19009])).
% 25.61/16.94 tff(19079,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB157)) | v107(constB157))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB157)) | v107(constB157))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19080,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB157)) | v107(constB157))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19081,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB157)) | v107(constB157)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19080, 19079])).
% 25.61/16.94 tff(19082,plain,
% 25.61/16.94 (v107(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19081, 1910, 19078])).
% 25.61/16.94 tff(19083,assumption,(v26(constB157)), introduced(assumption)).
% 25.61/16.94 tff(19084,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB157))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19085,plain,
% 25.61/16.94 ($false),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19084, 18, 19083])).
% 25.61/16.94 tff(19086,plain,(~v26(constB157)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.94 tff(19087,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | v106(constB157) | (~v107(constB157)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | v106(constB157) | (~v107(constB157)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19088,plain,
% 25.61/16.94 ((v26(constB157) | (~v107(constB157)) | v106(constB157)) <=> (v26(constB157) | v106(constB157) | (~v107(constB157)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19089,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | v106(constB157) | (~v107(constB157))))),
% 25.61/16.94 inference(monotonicity,[status(thm)],[19088])).
% 25.61/16.94 tff(19090,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | v106(constB157) | (~v107(constB157)))),
% 25.61/16.94 inference(transitivity,[status(thm)],[19089, 19087])).
% 25.61/16.94 tff(19091,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB157) | (~v107(constB157)) | v106(constB157))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19092,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB157) | v106(constB157) | (~v107(constB157))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19091, 19090])).
% 25.61/16.94 tff(19093,plain,
% 25.61/16.94 (v106(constB157) | (~v107(constB157))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19092, 263, 19086])).
% 25.61/16.94 tff(19094,plain,
% 25.61/16.94 (v106(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19093, 19082])).
% 25.61/16.94 tff(19095,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB157) | (~v106(constB157)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB157) | (~v106(constB157)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19096,plain,
% 25.61/16.94 (((~v106(constB157)) | v102(constB157)) <=> (v102(constB157) | (~v106(constB157)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19097,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB157)) | v102(constB157))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB157) | (~v106(constB157))))),
% 25.61/16.94 inference(monotonicity,[status(thm)],[19096])).
% 25.61/16.94 tff(19098,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB157)) | v102(constB157))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB157) | (~v106(constB157)))),
% 25.61/16.94 inference(transitivity,[status(thm)],[19097, 19095])).
% 25.61/16.94 tff(19099,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB157)) | v102(constB157))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19100,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB157) | (~v106(constB157))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19099, 19098])).
% 25.61/16.94 tff(19101,plain,
% 25.61/16.94 (v102(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19100, 275, 19094])).
% 25.61/16.94 tff(19102,plain,
% 25.61/16.94 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19103,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_157_1')).
% 25.61/16.94 tff(19104,plain,
% 25.61/16.94 (nextState(constB157, constB158)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19103, 19102])).
% 25.61/16.94 tff(19105,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19106,plain,
% 25.61/16.94 (((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158)) <=> ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19107,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157))))),
% 25.61/16.94 inference(monotonicity,[status(thm)],[19106])).
% 25.61/16.94 tff(19108,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157)))),
% 25.61/16.94 inference(transitivity,[status(thm)],[19107, 19105])).
% 25.61/16.94 tff(19109,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB157, constB158)) | (~v102(constB157)) | v104(constB158))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19110,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB157, constB158)) | v104(constB158) | (~v102(constB157))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19109, 19108])).
% 25.61/16.94 tff(19111,plain,
% 25.61/16.94 (v104(constB158) | (~v102(constB157))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19110, 295, 19104])).
% 25.61/16.94 tff(19112,plain,
% 25.61/16.94 (v104(constB158)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19111, 19101])).
% 25.61/16.94 tff(19113,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19114,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19115,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB157) | (~nextState(constB157, constB158)) | (~v98(constB158))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19114, 19113])).
% 25.61/16.94 tff(19116,plain,
% 25.61/16.94 (~v98(constB158)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19115, 313, 19104, 18964])).
% 25.61/16.94 tff(19117,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19118,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB157, constB158)) | v96(constB158) | v98(constB158))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19119,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB157, constB158)) | v96(constB158) | v98(constB158)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19118, 19117])).
% 25.61/16.94 tff(19120,plain,
% 25.61/16.94 (v96(constB158) | v98(constB158)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19119, 327, 19104])).
% 25.61/16.94 tff(19121,plain,
% 25.61/16.94 (v96(constB158)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19120, 19116])).
% 25.61/16.94 tff(19122,plain,
% 25.61/16.94 (v1(constB158) <=> v1(constB158)),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19123,axiom,(v1(constB158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_158_1')).
% 25.61/16.94 tff(19124,plain,
% 25.61/16.94 (v1(constB158)),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19123, 19122])).
% 25.61/16.94 tff(19125,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19126,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19127,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB157, constB158)) | v95(constB158) | (~v96(constB158)) | (~v1(constB158))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19126, 19125])).
% 25.61/16.94 tff(19128,plain,
% 25.61/16.94 (v95(constB158) | (~v96(constB158))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19127, 345, 19104, 19124])).
% 25.61/16.94 tff(19129,plain,
% 25.61/16.94 (v95(constB158)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19128, 19121])).
% 25.61/16.94 tff(19130,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19131,plain,
% 25.61/16.94 (((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158)) <=> ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19132,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158))))),
% 25.61/16.94 inference(monotonicity,[status(thm)],[19131])).
% 25.61/16.94 tff(19133,plain,
% 25.61/16.94 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158)))),
% 25.61/16.94 inference(transitivity,[status(thm)],[19132, 19130])).
% 25.61/16.94 tff(19134,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB157, constB158)) | (~v95(constB158)) | (~v104(constB158)) | v94(constB158))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19135,plain,
% 25.61/16.94 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB157, constB158)) | v94(constB158) | (~v95(constB158)) | (~v104(constB158))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19134, 19133])).
% 25.61/16.94 tff(19136,plain,
% 25.61/16.94 (v94(constB158) | (~v95(constB158)) | (~v104(constB158))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19135, 360, 19104])).
% 25.61/16.94 tff(19137,plain,
% 25.61/16.94 (v94(constB158) | (~v104(constB158))),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19136, 19129])).
% 25.61/16.94 tff(19138,plain,
% 25.61/16.94 (v94(constB158)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19137, 19112])).
% 25.61/16.94 tff(19139,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB157)) | (~v84(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB157)) | (~v84(constB157, bitIndex2)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19140,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB157)) | (~v84(constB157, bitIndex2)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19141,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB157)) | (~v84(constB157, bitIndex2))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19140, 19139])).
% 25.61/16.94 tff(19142,plain,
% 25.61/16.94 (~v115(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19141, 1974, 19009])).
% 25.61/16.94 tff(19143,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB157)) | (~v84(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB157)) | (~v84(constB157, bitIndex2)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19144,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB157)) | (~v84(constB157, bitIndex2)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19145,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB157)) | (~v84(constB157, bitIndex2))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19144, 19143])).
% 25.61/16.94 tff(19146,plain,
% 25.61/16.94 (~v116(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19145, 1985, 19009])).
% 25.61/16.94 tff(19147,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB157)) | (~v84(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB157)) | (~v84(constB157, bitIndex1)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19148,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB157)) | (~v84(constB157, bitIndex1)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19149,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB157)) | (~v84(constB157, bitIndex1))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19148, 19147])).
% 25.61/16.94 tff(19150,plain,
% 25.61/16.94 (~v113(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19149, 1996, 19040])).
% 25.61/16.94 tff(19151,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB157)) | (~v84(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB157)) | (~v84(constB157, bitIndex1)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19152,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB157)) | (~v84(constB157, bitIndex1)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19153,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB157)) | (~v84(constB157, bitIndex1))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19152, 19151])).
% 25.61/16.94 tff(19154,plain,
% 25.61/16.94 (~v118(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19153, 2007, 19040])).
% 25.61/16.94 tff(19155,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB157)) | (~v84(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB157)) | (~v84(constB157, bitIndex1)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19156,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB157)) | (~v84(constB157, bitIndex1)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19157,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB157)) | (~v84(constB157, bitIndex1))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19156, 19155])).
% 25.61/16.94 tff(19158,plain,
% 25.61/16.94 (~v145(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19157, 2018, 19040])).
% 25.61/16.94 tff(19159,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB157)) | (~v84(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB157)) | (~v84(constB157, bitIndex1)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19160,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB157)) | (~v84(constB157, bitIndex1)))),
% 25.61/16.94 inference(quant_inst,[status(thm)],[])).
% 25.61/16.94 tff(19161,plain,
% 25.61/16.94 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB157)) | (~v84(constB157, bitIndex1))),
% 25.61/16.94 inference(modus_ponens,[status(thm)],[19160, 19159])).
% 25.61/16.94 tff(19162,plain,
% 25.61/16.94 (~v172(constB157)),
% 25.61/16.94 inference(unit_resolution,[status(thm)],[19161, 2029, 19040])).
% 25.61/16.94 tff(19163,plain,
% 25.61/16.94 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex2)))),
% 25.61/16.94 inference(rewrite,[status(thm)],[])).
% 25.61/16.94 tff(19164,plain,
% 25.61/16.95 ((v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex2))) <=> (v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex2)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19165,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex2))))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19164])).
% 25.61/16.95 tff(19166,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex2)))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19165, 19163])).
% 25.61/16.95 tff(19167,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex2)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19168,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex2))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19167, 19166])).
% 25.61/16.95 tff(19169,plain,
% 25.61/16.95 (~v124(constB157, bitIndex2)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19168, 2043, 19162, 19158, 19154, 19150, 19146, 19142])).
% 25.61/16.95 tff(19170,assumption,(v121(constB157, bitIndex2)), introduced(assumption)).
% 25.61/16.95 tff(19171,assumption,(~v124(constB157, bitIndex2)), introduced(assumption)).
% 25.61/16.95 tff(19172,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19173,plain,
% 25.61/16.95 ((v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2))) <=> ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19174,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2)))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19173])).
% 25.61/16.95 tff(19175,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19174, 19172])).
% 25.61/16.95 tff(19176,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB157) | v124(constB157, bitIndex2) | (~v121(constB157, bitIndex2)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19177,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB157, bitIndex2)) | v26(constB157) | v124(constB157, bitIndex2)),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19176, 19175])).
% 25.61/16.95 tff(19178,plain,
% 25.61/16.95 ((~v121(constB157, bitIndex2)) | v26(constB157)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19177, 390, 19171])).
% 25.61/16.95 tff(19179,plain,
% 25.61/16.95 (v26(constB157)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19178, 19170])).
% 25.61/16.95 tff(19180,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB157)) | (~v121(constB157, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB157)) | (~v121(constB157, bitIndex2)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19181,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB157)) | (~v121(constB157, bitIndex2)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19182,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB157)) | (~v121(constB157, bitIndex2))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19181, 19180])).
% 25.61/16.95 tff(19183,plain,
% 25.61/16.95 ($false),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19182, 2292, 19170, 19179])).
% 25.61/16.95 tff(19184,plain,((~v121(constB157, bitIndex2)) | v124(constB157, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.95 tff(19185,plain,
% 25.61/16.95 (~v121(constB157, bitIndex2)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19184, 19169])).
% 25.61/16.95 tff(19186,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19187,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19188,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19187, 19186])).
% 25.61/16.95 tff(19189,plain,
% 25.61/16.95 (v121(constB157, bitIndex2) | (~v123(constB158, bitIndex2))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19188, 408, 19104])).
% 25.61/16.95 tff(19190,plain,
% 25.61/16.95 (~v123(constB158, bitIndex2)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19189, 19185])).
% 25.61/16.95 tff(19191,plain,
% 25.61/16.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19192,plain,
% 25.61/16.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19193,plain,
% 25.61/16.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2) | (~v94(constB158))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19192, 19191])).
% 25.61/16.95 tff(19194,plain,
% 25.61/16.95 ((~v84(constB158, bitIndex2)) | (~v94(constB158))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19193, 423, 19190])).
% 25.61/16.95 tff(19195,plain,
% 25.61/16.95 (~v84(constB158, bitIndex2)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19194, 19138])).
% 25.61/16.95 tff(19196,plain,
% 25.61/16.95 ((~v1(constB159)) <=> (~v1(constB159))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19197,axiom,(~v1(constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_159_1_1')).
% 25.61/16.95 tff(19198,plain,
% 25.61/16.95 (~v1(constB159)),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19197, 19196])).
% 25.61/16.95 tff(19199,plain,
% 25.61/16.95 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19200,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_158_1')).
% 25.61/16.95 tff(19201,plain,
% 25.61/16.95 (nextState(constB158, constB159)),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19200, 19199])).
% 25.61/16.95 tff(19202,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19203,plain,
% 25.61/16.95 (((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159)) <=> (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19204,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159))))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19203])).
% 25.61/16.95 tff(19205,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159)))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19204, 19202])).
% 25.61/16.95 tff(19206,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB158, constB159)) | (~v95(constB159)) | v1(constB159))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19207,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB159) | (~nextState(constB158, constB159)) | (~v95(constB159))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19206, 19205])).
% 25.61/16.95 tff(19208,plain,
% 25.61/16.95 (~v95(constB159)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19207, 73, 19201, 19198])).
% 25.61/16.95 tff(19209,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19210,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19211,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB158, constB159)) | v95(constB159) | (~v94(constB159))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19210, 19209])).
% 25.61/16.95 tff(19212,plain,
% 25.61/16.95 (v95(constB159) | (~v94(constB159))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19211, 90, 19201])).
% 25.61/16.95 tff(19213,plain,
% 25.61/16.95 (~v94(constB159)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19212, 19208])).
% 25.61/16.95 tff(19214,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19215,plain,
% 25.61/16.95 (((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2))) <=> (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19216,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2))))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19215])).
% 25.61/16.95 tff(19217,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19216, 19214])).
% 25.61/16.95 tff(19218,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19219,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB158, bitIndex2) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex2))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 25.61/16.95 tff(19220,plain,
% 25.61/16.95 (v84(constB158, bitIndex2) | v94(constB159) | (~v84(constB159, bitIndex2))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19219, 105, 19201])).
% 25.61/16.95 tff(19221,plain,
% 25.61/16.95 (v84(constB158, bitIndex2) | (~v84(constB159, bitIndex2))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19220, 19213])).
% 25.61/16.95 tff(19222,plain,
% 25.61/16.95 (~v84(constB159, bitIndex2)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19221, 19195])).
% 25.61/16.95 tff(19223,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex1)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19224,plain,
% 25.61/16.95 ((v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex1))) <=> (v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex1)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19225,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex1))))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19224])).
% 25.61/16.95 tff(19226,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex1)))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19225, 19223])).
% 25.61/16.95 tff(19227,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | (~v124(constB157, bitIndex1)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19228,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | (~v124(constB157, bitIndex1))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19227, 19226])).
% 25.61/16.95 tff(19229,plain,
% 25.61/16.95 (~v124(constB157, bitIndex1)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19228, 2105, 19162, 19158, 19154, 19150, 19146, 19142])).
% 25.61/16.95 tff(19230,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19231,plain,
% 25.61/16.95 ((v26(constB157) | v124(constB157, bitIndex1) | (~v121(constB157, bitIndex1))) <=> ((~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19232,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB157) | v124(constB157, bitIndex1) | (~v121(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1)))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19231])).
% 25.61/16.95 tff(19233,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB157) | v124(constB157, bitIndex1) | (~v121(constB157, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19232, 19230])).
% 25.61/16.95 tff(19234,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB157) | v124(constB157, bitIndex1) | (~v121(constB157, bitIndex1)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19235,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB157, bitIndex1)) | v26(constB157) | v124(constB157, bitIndex1)),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19234, 19233])).
% 25.61/16.95 tff(19236,plain,
% 25.61/16.95 ((~v121(constB157, bitIndex1)) | v124(constB157, bitIndex1)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19235, 476, 19086])).
% 25.61/16.95 tff(19237,plain,
% 25.61/16.95 (~v121(constB157, bitIndex1)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19236, 19229])).
% 25.61/16.95 tff(19238,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19239,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB157, constB158)) | v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19240,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB157, constB158)) | v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19239, 19238])).
% 25.61/16.95 tff(19241,plain,
% 25.61/16.95 (v121(constB157, bitIndex1) | (~v123(constB158, bitIndex1))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19240, 494, 19104])).
% 25.61/16.95 tff(19242,plain,
% 25.61/16.95 (~v123(constB158, bitIndex1)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19241, 19237])).
% 25.61/16.95 tff(19243,plain,
% 25.61/16.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19244,plain,
% 25.61/16.95 (((~v84(constB158, bitIndex1)) | (~v94(constB158)) | v123(constB158, bitIndex1)) <=> ((~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19245,plain,
% 25.61/16.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~v94(constB158)) | v123(constB158, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158))))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19244])).
% 25.61/16.95 tff(19246,plain,
% 25.61/16.95 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~v94(constB158)) | v123(constB158, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158)))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19245, 19243])).
% 25.61/16.95 tff(19247,plain,
% 25.61/16.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB158, bitIndex1)) | (~v94(constB158)) | v123(constB158, bitIndex1))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19248,plain,
% 25.61/16.95 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1) | (~v94(constB158))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19247, 19246])).
% 25.61/16.95 tff(19249,plain,
% 25.61/16.95 ((~v84(constB158, bitIndex1)) | (~v94(constB158))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19248, 509, 19242])).
% 25.61/16.95 tff(19250,plain,
% 25.61/16.95 (~v84(constB158, bitIndex1)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19249, 19138])).
% 25.61/16.95 tff(19251,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19252,plain,
% 25.61/16.95 (((~nextState(constB158, constB159)) | v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1))) <=> (v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19253,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1))))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19252])).
% 25.61/16.95 tff(19254,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1)))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19253, 19251])).
% 25.61/16.95 tff(19255,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB158, constB159)) | v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19256,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB158, bitIndex1) | (~nextState(constB158, constB159)) | v94(constB159) | (~v84(constB159, bitIndex1))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19255, 19254])).
% 25.61/16.95 tff(19257,plain,
% 25.61/16.95 (v84(constB158, bitIndex1) | v94(constB159) | (~v84(constB159, bitIndex1))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19256, 126, 19201])).
% 25.61/16.95 tff(19258,plain,
% 25.61/16.95 (v84(constB158, bitIndex1) | (~v84(constB159, bitIndex1))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19257, 19213])).
% 25.61/16.95 tff(19259,plain,
% 25.61/16.95 (~v84(constB159, bitIndex1)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19258, 19250])).
% 25.61/16.95 tff(19260,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | v124(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | v124(constB157, bitIndex0))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19261,plain,
% 25.61/16.95 ((v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | v124(constB157, bitIndex0)) <=> (v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | v124(constB157, bitIndex0))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19262,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | v124(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | v124(constB157, bitIndex0)))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19261])).
% 25.61/16.95 tff(19263,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | v124(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | v124(constB157, bitIndex0))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19262, 19260])).
% 25.61/16.95 tff(19264,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB157) | v145(constB157) | v115(constB157) | v116(constB157) | v172(constB157) | v118(constB157) | v124(constB157, bitIndex0))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19265,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v113(constB157) | v172(constB157) | v118(constB157) | v115(constB157) | v116(constB157) | v145(constB157) | v124(constB157, bitIndex0)),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19264, 19263])).
% 25.61/16.95 tff(19266,plain,
% 25.61/16.95 (v124(constB157, bitIndex0)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19265, 2152, 19162, 19158, 19154, 19150, 19146, 19142])).
% 25.61/16.95 tff(19267,plain,
% 25.61/16.95 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB157) | (~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB157) | (~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19268,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB157) | (~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19269,plain,
% 25.61/16.95 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB157) | (~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0)),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19268, 19267])).
% 25.61/16.95 tff(19270,plain,
% 25.61/16.95 ((~v124(constB157, bitIndex0)) | v121(constB157, bitIndex0)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19269, 547, 19086])).
% 25.61/16.95 tff(19271,plain,
% 25.61/16.95 (v121(constB157, bitIndex0)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19270, 19266])).
% 25.61/16.95 tff(19272,plain,
% 25.61/16.95 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19273,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB157, constB158)) | (~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19274,plain,
% 25.61/16.95 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB157, constB158)) | (~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0)),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19273, 19272])).
% 25.61/16.95 tff(19275,plain,
% 25.61/16.95 ((~v121(constB157, bitIndex0)) | v123(constB158, bitIndex0)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19274, 562, 19104])).
% 25.61/16.95 tff(19276,plain,
% 25.61/16.95 (v123(constB158, bitIndex0)),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19275, 19271])).
% 25.61/16.95 tff(19277,plain,
% 25.61/16.95 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19278,plain,
% 25.61/16.95 ((v84(constB158, bitIndex0) | (~v94(constB158)) | (~v123(constB158, bitIndex0))) <=> (v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158)))),
% 25.61/16.95 inference(rewrite,[status(thm)],[])).
% 25.61/16.95 tff(19279,plain,
% 25.61/16.95 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v94(constB158)) | (~v123(constB158, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158))))),
% 25.61/16.95 inference(monotonicity,[status(thm)],[19278])).
% 25.61/16.95 tff(19280,plain,
% 25.61/16.95 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v94(constB158)) | (~v123(constB158, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158)))),
% 25.61/16.95 inference(transitivity,[status(thm)],[19279, 19277])).
% 25.61/16.95 tff(19281,plain,
% 25.61/16.95 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB158, bitIndex0) | (~v94(constB158)) | (~v123(constB158, bitIndex0)))),
% 25.61/16.95 inference(quant_inst,[status(thm)],[])).
% 25.61/16.95 tff(19282,plain,
% 25.61/16.95 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0)) | (~v94(constB158))),
% 25.61/16.95 inference(modus_ponens,[status(thm)],[19281, 19280])).
% 25.61/16.95 tff(19283,plain,
% 25.61/16.95 (v84(constB158, bitIndex0) | (~v94(constB158))),
% 25.61/16.95 inference(unit_resolution,[status(thm)],[19282, 577, 19276])).
% 25.61/16.96 tff(19284,plain,
% 25.61/16.96 (v84(constB158, bitIndex0)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19283, 19138])).
% 25.61/16.96 tff(19285,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19286,plain,
% 25.61/16.96 (((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0)) <=> ((~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19287,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0)))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19286])).
% 25.61/16.96 tff(19288,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19287, 19285])).
% 25.61/16.96 tff(19289,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB158, constB159)) | (~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19290,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB158, bitIndex0)) | (~nextState(constB158, constB159)) | v94(constB159) | v84(constB159, bitIndex0)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19289, 19288])).
% 25.61/16.96 tff(19291,plain,
% 25.61/16.96 ((~v84(constB158, bitIndex0)) | v94(constB159) | v84(constB159, bitIndex0)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19290, 595, 19201])).
% 25.61/16.96 tff(19292,plain,
% 25.61/16.96 ((~v84(constB158, bitIndex0)) | v84(constB159, bitIndex0)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19291, 19213])).
% 25.61/16.96 tff(19293,plain,
% 25.61/16.96 (v84(constB159, bitIndex0)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19292, 19284])).
% 25.61/16.96 tff(19294,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB159, bitIndex0)) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v145(constB159))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB159, bitIndex0)) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v145(constB159))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19295,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB159, bitIndex0)) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v145(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19296,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB159, bitIndex0)) | v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | v145(constB159)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19295, 19294])).
% 25.61/16.96 tff(19297,plain,
% 25.61/16.96 (v145(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19296, 614, 19293, 19259, 19222])).
% 25.61/16.96 tff(19298,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB159) | (~v145(constB159)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB159) | (~v145(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19299,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB159) | (~v145(constB159)))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19300,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB159) | (~v145(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19299, 19298])).
% 25.61/16.96 tff(19301,plain,
% 25.61/16.96 (v112(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19300, 677, 19297])).
% 25.61/16.96 tff(19302,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB159) | (~v112(constB159)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB159) | (~v112(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19303,plain,
% 25.61/16.96 (((~v112(constB159)) | v111(constB159)) <=> (v111(constB159) | (~v112(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19304,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB159)) | v111(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB159) | (~v112(constB159))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19303])).
% 25.61/16.96 tff(19305,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB159)) | v111(constB159))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB159) | (~v112(constB159)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19304, 19302])).
% 25.61/16.96 tff(19306,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB159)) | v111(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19307,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB159) | (~v112(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19306, 19305])).
% 25.61/16.96 tff(19308,plain,
% 25.61/16.96 (v111(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19307, 193, 19301])).
% 25.61/16.96 tff(19309,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB159) | (~v111(constB159)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB159) | (~v111(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19310,plain,
% 25.61/16.96 (((~v111(constB159)) | v110(constB159)) <=> (v110(constB159) | (~v111(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19311,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB159)) | v110(constB159))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB159) | (~v111(constB159))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19310])).
% 25.61/16.96 tff(19312,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB159)) | v110(constB159))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB159) | (~v111(constB159)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19311, 19309])).
% 25.61/16.96 tff(19313,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB159)) | v110(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19314,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB159) | (~v111(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19313, 19312])).
% 25.61/16.96 tff(19315,plain,
% 25.61/16.96 (v110(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19314, 207, 19308])).
% 25.61/16.96 tff(19316,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB159) | (~v110(constB159)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB159) | (~v110(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19317,plain,
% 25.61/16.96 (((~v110(constB159)) | v109(constB159)) <=> (v109(constB159) | (~v110(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19318,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB159)) | v109(constB159))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB159) | (~v110(constB159))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19317])).
% 25.61/16.96 tff(19319,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB159)) | v109(constB159))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB159) | (~v110(constB159)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19318, 19316])).
% 25.61/16.96 tff(19320,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB159)) | v109(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19321,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB159) | (~v110(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19320, 19319])).
% 25.61/16.96 tff(19322,plain,
% 25.61/16.96 (v109(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19321, 221, 19315])).
% 25.61/16.96 tff(19323,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v109(constB159)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v109(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19324,plain,
% 25.61/16.96 (((~v109(constB159)) | v108(constB159)) <=> (v108(constB159) | (~v109(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19325,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB159) | (~v109(constB159))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19324])).
% 25.61/16.96 tff(19326,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB159)) | v108(constB159))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v109(constB159)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19325, 19323])).
% 25.61/16.96 tff(19327,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB159)) | v108(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19328,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB159) | (~v109(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19327, 19326])).
% 25.61/16.96 tff(19329,plain,
% 25.61/16.96 (v108(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19328, 235, 19322])).
% 25.61/16.96 tff(19330,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB159) | (~v108(constB159)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB159) | (~v108(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19331,plain,
% 25.61/16.96 (((~v108(constB159)) | v107(constB159)) <=> (v107(constB159) | (~v108(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19332,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB159)) | v107(constB159))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB159) | (~v108(constB159))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19331])).
% 25.61/16.96 tff(19333,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB159)) | v107(constB159))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB159) | (~v108(constB159)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19332, 19330])).
% 25.61/16.96 tff(19334,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB159)) | v107(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19335,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB159) | (~v108(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19334, 19333])).
% 25.61/16.96 tff(19336,plain,
% 25.61/16.96 (v107(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19335, 249, 19329])).
% 25.61/16.96 tff(19337,assumption,(~v102(constB159)), introduced(assumption)).
% 25.61/16.96 tff(19338,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB159) | (~v106(constB159)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v106(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19339,plain,
% 25.61/16.96 (((~v106(constB159)) | v102(constB159)) <=> (v102(constB159) | (~v106(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19340,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB159)) | v102(constB159))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB159) | (~v106(constB159))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19339])).
% 25.61/16.96 tff(19341,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB159)) | v102(constB159))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v106(constB159)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19340, 19338])).
% 25.61/16.96 tff(19342,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB159)) | v102(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19343,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v106(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19342, 19341])).
% 25.61/16.96 tff(19344,plain,
% 25.61/16.96 (~v106(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19343, 275, 19337])).
% 25.61/16.96 tff(19345,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB159) | (~v26(constB159)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v26(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19346,plain,
% 25.61/16.96 (((~v26(constB159)) | v102(constB159)) <=> (v102(constB159) | (~v26(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19347,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB159)) | v102(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB159) | (~v26(constB159))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19346])).
% 25.61/16.96 tff(19348,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB159)) | v102(constB159))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v26(constB159)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19347, 19345])).
% 25.61/16.96 tff(19349,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB159)) | v102(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19350,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB159) | (~v26(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19349, 19348])).
% 25.61/16.96 tff(19351,plain,
% 25.61/16.96 (~v26(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19350, 660, 19337])).
% 25.61/16.96 tff(19352,assumption,(v107(constB159)), introduced(assumption)).
% 25.61/16.96 tff(19353,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | v106(constB159) | (~v107(constB159)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19354,plain,
% 25.61/16.96 ((v26(constB159) | (~v107(constB159)) | v106(constB159)) <=> (v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19355,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | v106(constB159) | (~v107(constB159))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19354])).
% 25.61/16.96 tff(19356,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19355, 19353])).
% 25.61/16.96 tff(19357,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB159) | (~v107(constB159)) | v106(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19358,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB159) | v106(constB159) | (~v107(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19357, 19356])).
% 25.61/16.96 tff(19359,plain,
% 25.61/16.96 (v26(constB159) | v106(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19358, 263, 19352])).
% 25.61/16.96 tff(19360,plain,
% 25.61/16.96 ($false),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19359, 19351, 19344])).
% 25.61/16.96 tff(19361,plain,(v102(constB159) | (~v107(constB159))), inference(lemma,lemma(discharge,[]))).
% 25.61/16.96 tff(19362,plain,
% 25.61/16.96 (v102(constB159)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19361, 19336])).
% 25.61/16.96 tff(19363,plain,
% 25.61/16.96 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19364,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_159_1')).
% 25.61/16.96 tff(19365,plain,
% 25.61/16.96 (nextState(constB159, constB160)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19364, 19363])).
% 25.61/16.96 tff(19366,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19367,plain,
% 25.61/16.96 (((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160)) <=> ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19368,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19367])).
% 25.61/16.96 tff(19369,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19368, 19366])).
% 25.61/16.96 tff(19370,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB159, constB160)) | (~v102(constB159)) | v104(constB160))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19371,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB159, constB160)) | v104(constB160) | (~v102(constB159))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19370, 19369])).
% 25.61/16.96 tff(19372,plain,
% 25.61/16.96 (v104(constB160) | (~v102(constB159))),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19371, 295, 19365])).
% 25.61/16.96 tff(19373,plain,
% 25.61/16.96 (v104(constB160)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19372, 19362])).
% 25.61/16.96 tff(19374,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19375,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160)))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19376,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB159) | (~nextState(constB159, constB160)) | (~v98(constB160))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19375, 19374])).
% 25.61/16.96 tff(19377,plain,
% 25.61/16.96 (~v98(constB160)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19376, 313, 19365, 19198])).
% 25.61/16.96 tff(19378,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19379,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB159, constB160)) | v96(constB160) | v98(constB160))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19380,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB159, constB160)) | v96(constB160) | v98(constB160)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19379, 19378])).
% 25.61/16.96 tff(19381,plain,
% 25.61/16.96 (v96(constB160) | v98(constB160)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19380, 327, 19365])).
% 25.61/16.96 tff(19382,plain,
% 25.61/16.96 (v96(constB160)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19381, 19377])).
% 25.61/16.96 tff(19383,plain,
% 25.61/16.96 (v1(constB160) <=> v1(constB160)),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19384,axiom,(v1(constB160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_160_1')).
% 25.61/16.96 tff(19385,plain,
% 25.61/16.96 (v1(constB160)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19384, 19383])).
% 25.61/16.96 tff(19386,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19387,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160)))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19388,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB159, constB160)) | v95(constB160) | (~v96(constB160)) | (~v1(constB160))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19387, 19386])).
% 25.61/16.96 tff(19389,plain,
% 25.61/16.96 (v95(constB160) | (~v96(constB160))),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19388, 345, 19365, 19385])).
% 25.61/16.96 tff(19390,plain,
% 25.61/16.96 (v95(constB160)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19389, 19382])).
% 25.61/16.96 tff(19391,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19392,plain,
% 25.61/16.96 (((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160)) <=> ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19393,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19392])).
% 25.61/16.96 tff(19394,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19393, 19391])).
% 25.61/16.96 tff(19395,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB159, constB160)) | (~v95(constB160)) | (~v104(constB160)) | v94(constB160))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19396,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB159, constB160)) | v94(constB160) | (~v95(constB160)) | (~v104(constB160))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19395, 19394])).
% 25.61/16.96 tff(19397,plain,
% 25.61/16.96 (v94(constB160) | (~v95(constB160)) | (~v104(constB160))),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19396, 360, 19365])).
% 25.61/16.96 tff(19398,plain,
% 25.61/16.96 (v94(constB160) | (~v104(constB160))),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19397, 19390])).
% 25.61/16.96 tff(19399,plain,
% 25.61/16.96 (v94(constB160)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19398, 19373])).
% 25.61/16.96 tff(19400,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB159)) | v124(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB159)) | v124(constB159, bitIndex1))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19401,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB159)) | v124(constB159, bitIndex1))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19402,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB159)) | v124(constB159, bitIndex1)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19401, 19400])).
% 25.61/16.96 tff(19403,plain,
% 25.61/16.96 (v124(constB159, bitIndex1)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19402, 798, 19297])).
% 25.61/16.96 tff(19404,assumption,(v26(constB159)), introduced(assumption)).
% 25.61/16.96 tff(19405,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB159))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19406,plain,
% 25.61/16.96 ($false),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19405, 18, 19404])).
% 25.61/16.96 tff(19407,plain,(~v26(constB159)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.96 tff(19408,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19409,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19410,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB159) | (~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19409, 19408])).
% 25.61/16.96 tff(19411,plain,
% 25.61/16.96 ((~v124(constB159, bitIndex1)) | v121(constB159, bitIndex1)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19410, 812, 19407])).
% 25.61/16.96 tff(19412,plain,
% 25.61/16.96 (v121(constB159, bitIndex1)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19411, 19403])).
% 25.61/16.96 tff(19413,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19414,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19415,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB159, constB160)) | (~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19414, 19413])).
% 25.61/16.96 tff(19416,plain,
% 25.61/16.96 ((~v121(constB159, bitIndex1)) | v123(constB160, bitIndex1)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19415, 827, 19365])).
% 25.61/16.96 tff(19417,plain,
% 25.61/16.96 (v123(constB160, bitIndex1)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19416, 19412])).
% 25.61/16.96 tff(19418,plain,
% 25.61/16.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19419,plain,
% 25.61/16.96 ((v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1))) <=> (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19420,plain,
% 25.61/16.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19419])).
% 25.61/16.96 tff(19421,plain,
% 25.61/16.96 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19420, 19418])).
% 25.61/16.96 tff(19422,plain,
% 25.61/16.96 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB160, bitIndex1) | (~v94(constB160)) | (~v123(constB160, bitIndex1)))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19423,plain,
% 25.61/16.96 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1)) | (~v94(constB160))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19422, 19421])).
% 25.61/16.96 tff(19424,plain,
% 25.61/16.96 (v84(constB160, bitIndex1) | (~v94(constB160))),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19423, 842, 19417])).
% 25.61/16.96 tff(19425,plain,
% 25.61/16.96 (v84(constB160, bitIndex1)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19424, 19399])).
% 25.61/16.96 tff(19426,plain,
% 25.61/16.96 ((~v1(constB161)) <=> (~v1(constB161))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19427,axiom,(~v1(constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_161_1_1')).
% 25.61/16.96 tff(19428,plain,
% 25.61/16.96 (~v1(constB161)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19427, 19426])).
% 25.61/16.96 tff(19429,plain,
% 25.61/16.96 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19430,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_160_1')).
% 25.61/16.96 tff(19431,plain,
% 25.61/16.96 (nextState(constB160, constB161)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19430, 19429])).
% 25.61/16.96 tff(19432,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19433,plain,
% 25.61/16.96 (((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161)) <=> (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19434,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161))))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19433])).
% 25.61/16.96 tff(19435,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161)))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19434, 19432])).
% 25.61/16.96 tff(19436,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB160, constB161)) | (~v95(constB161)) | v1(constB161))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19437,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB161) | (~nextState(constB160, constB161)) | (~v95(constB161))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19436, 19435])).
% 25.61/16.96 tff(19438,plain,
% 25.61/16.96 (~v95(constB161)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19437, 73, 19431, 19428])).
% 25.61/16.96 tff(19439,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19440,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161)))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19441,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB160, constB161)) | v95(constB161) | (~v94(constB161))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19440, 19439])).
% 25.61/16.96 tff(19442,plain,
% 25.61/16.96 (v95(constB161) | (~v94(constB161))),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19441, 90, 19431])).
% 25.61/16.96 tff(19443,plain,
% 25.61/16.96 (~v94(constB161)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19442, 19438])).
% 25.61/16.96 tff(19444,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19445,plain,
% 25.61/16.96 (((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1)) <=> ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19446,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1)))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19445])).
% 25.61/16.96 tff(19447,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19446, 19444])).
% 25.61/16.96 tff(19448,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB160, constB161)) | (~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19449,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB160, bitIndex1)) | (~nextState(constB160, constB161)) | v94(constB161) | v84(constB161, bitIndex1)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19448, 19447])).
% 25.61/16.96 tff(19450,plain,
% 25.61/16.96 ((~v84(constB160, bitIndex1)) | v94(constB161) | v84(constB161, bitIndex1)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19449, 860, 19431])).
% 25.61/16.96 tff(19451,plain,
% 25.61/16.96 ((~v84(constB160, bitIndex1)) | v84(constB161, bitIndex1)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19450, 19443])).
% 25.61/16.96 tff(19452,plain,
% 25.61/16.96 (v84(constB161, bitIndex1)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19451, 19425])).
% 25.61/16.96 tff(19453,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB159)) | (~v124(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB159)) | (~v124(constB159, bitIndex0)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19454,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB159)) | (~v124(constB159, bitIndex0)))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19455,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB159)) | (~v124(constB159, bitIndex0))),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19454, 19453])).
% 25.61/16.96 tff(19456,plain,
% 25.61/16.96 (~v124(constB159, bitIndex0)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19455, 876, 19297])).
% 25.61/16.96 tff(19457,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19458,plain,
% 25.61/16.96 ((v26(constB159) | v124(constB159, bitIndex0) | (~v121(constB159, bitIndex0))) <=> ((~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19459,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB159) | v124(constB159, bitIndex0) | (~v121(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0)))),
% 25.61/16.96 inference(monotonicity,[status(thm)],[19458])).
% 25.61/16.96 tff(19460,plain,
% 25.61/16.96 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB159) | v124(constB159, bitIndex0) | (~v121(constB159, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0))),
% 25.61/16.96 inference(transitivity,[status(thm)],[19459, 19457])).
% 25.61/16.96 tff(19461,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB159) | v124(constB159, bitIndex0) | (~v121(constB159, bitIndex0)))),
% 25.61/16.96 inference(quant_inst,[status(thm)],[])).
% 25.61/16.96 tff(19462,plain,
% 25.61/16.96 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB159, bitIndex0)) | v26(constB159) | v124(constB159, bitIndex0)),
% 25.61/16.96 inference(modus_ponens,[status(thm)],[19461, 19460])).
% 25.61/16.96 tff(19463,plain,
% 25.61/16.96 ((~v121(constB159, bitIndex0)) | v124(constB159, bitIndex0)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19462, 890, 19407])).
% 25.61/16.96 tff(19464,plain,
% 25.61/16.96 (~v121(constB159, bitIndex0)),
% 25.61/16.96 inference(unit_resolution,[status(thm)],[19463, 19456])).
% 25.61/16.96 tff(19465,plain,
% 25.61/16.96 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0)))),
% 25.61/16.96 inference(rewrite,[status(thm)],[])).
% 25.61/16.96 tff(19466,plain,
% 25.61/16.96 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19467,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19466, 19465])).
% 25.61/16.97 tff(19468,plain,
% 25.61/16.97 (v121(constB159, bitIndex0) | (~v123(constB160, bitIndex0))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19467, 908, 19365])).
% 25.61/16.97 tff(19469,plain,
% 25.61/16.97 (~v123(constB160, bitIndex0)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19468, 19464])).
% 25.61/16.97 tff(19470,plain,
% 25.61/16.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19471,plain,
% 25.61/16.97 (((~v84(constB160, bitIndex0)) | (~v94(constB160)) | v123(constB160, bitIndex0)) <=> ((~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19472,plain,
% 25.61/16.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~v94(constB160)) | v123(constB160, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19471])).
% 25.61/16.97 tff(19473,plain,
% 25.61/16.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~v94(constB160)) | v123(constB160, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19472, 19470])).
% 25.61/16.97 tff(19474,plain,
% 25.61/16.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB160, bitIndex0)) | (~v94(constB160)) | v123(constB160, bitIndex0))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19475,plain,
% 25.61/16.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0) | (~v94(constB160))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19474, 19473])).
% 25.61/16.97 tff(19476,plain,
% 25.61/16.97 ((~v84(constB160, bitIndex0)) | (~v94(constB160))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19475, 923, 19469])).
% 25.61/16.97 tff(19477,plain,
% 25.61/16.97 (~v84(constB160, bitIndex0)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19476, 19399])).
% 25.61/16.97 tff(19478,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19479,plain,
% 25.61/16.97 (((~nextState(constB160, constB161)) | v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0))) <=> (v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19480,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19479])).
% 25.61/16.97 tff(19481,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19480, 19478])).
% 25.61/16.97 tff(19482,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19483,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB160, bitIndex0) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex0))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19482, 19481])).
% 25.61/16.97 tff(19484,plain,
% 25.61/16.97 (v84(constB160, bitIndex0) | v94(constB161) | (~v84(constB161, bitIndex0))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19483, 147, 19431])).
% 25.61/16.97 tff(19485,plain,
% 25.61/16.97 (v84(constB160, bitIndex0) | (~v84(constB161, bitIndex0))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19484, 19443])).
% 25.61/16.97 tff(19486,plain,
% 25.61/16.97 (~v84(constB161, bitIndex0)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19485, 19477])).
% 25.61/16.97 tff(19487,assumption,(~v115(constB161)), introduced(assumption)).
% 25.61/16.97 tff(19488,assumption,(v84(constB160, bitIndex2)), introduced(assumption)).
% 25.61/16.97 tff(19489,assumption,(~v26(constB157)), introduced(assumption)).
% 25.61/16.97 tff(19490,assumption,(v107(constB157)), introduced(assumption)).
% 25.61/16.97 tff(19491,plain,
% 25.61/16.97 (v26(constB157) | v106(constB157)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19092, 263, 19490])).
% 25.61/16.97 tff(19492,plain,
% 25.61/16.97 (v106(constB157)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19491, 19489])).
% 25.61/16.97 tff(19493,plain,
% 25.61/16.97 (v102(constB157)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19100, 275, 19492])).
% 25.61/16.97 tff(19494,plain,
% 25.61/16.97 (v104(constB158)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19111, 19493])).
% 25.61/16.97 tff(19495,plain,
% 25.61/16.97 (v94(constB158)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19137, 19494])).
% 25.61/16.97 tff(19496,assumption,(~v123(constB158, bitIndex2)), introduced(assumption)).
% 25.61/16.97 tff(19497,plain,
% 25.61/16.97 ((~v84(constB158, bitIndex2)) | (~v94(constB158))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19193, 423, 19496])).
% 25.61/16.97 tff(19498,plain,
% 25.61/16.97 (~v84(constB158, bitIndex2)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19497, 19495])).
% 25.61/16.97 tff(19499,plain,
% 25.61/16.97 (~v84(constB159, bitIndex2)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19221, 19498])).
% 25.61/16.97 tff(19500,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19501,plain,
% 25.61/16.97 (((~nextState(constB159, constB160)) | v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2))) <=> (v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19502,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19501])).
% 25.61/16.97 tff(19503,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19502, 19500])).
% 25.61/16.97 tff(19504,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19505,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB159, bitIndex2) | (~nextState(constB159, constB160)) | v94(constB160) | (~v84(constB160, bitIndex2))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19504, 19503])).
% 25.61/16.97 tff(19506,plain,
% 25.61/16.97 (v84(constB159, bitIndex2) | v94(constB160) | (~v84(constB160, bitIndex2))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19505, 105, 19365])).
% 25.61/16.97 tff(19507,plain,
% 25.61/16.97 (v94(constB160)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19506, 19499, 19488])).
% 25.61/16.97 tff(19508,plain,
% 25.61/16.97 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19509,plain,
% 25.61/16.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19510,plain,
% 25.61/16.97 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2) | (~v94(constB160))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19509, 19508])).
% 25.61/16.97 tff(19511,plain,
% 25.61/16.97 (v123(constB160, bitIndex2) | (~v94(constB160))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19510, 423, 19488])).
% 25.61/16.97 tff(19512,plain,
% 25.61/16.97 (v123(constB160, bitIndex2)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19511, 19507])).
% 25.61/16.97 tff(19513,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19514,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19515,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB159, constB160)) | v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19514, 19513])).
% 25.61/16.97 tff(19516,plain,
% 25.61/16.97 (v121(constB159, bitIndex2) | (~v123(constB160, bitIndex2))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19515, 408, 19365])).
% 25.61/16.97 tff(19517,plain,
% 25.61/16.97 (v121(constB159, bitIndex2)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19516, 19512])).
% 25.61/16.97 tff(19518,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19519,plain,
% 25.61/16.97 ((v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2))) <=> ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19520,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2)))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19519])).
% 25.61/16.97 tff(19521,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19520, 19518])).
% 25.61/16.97 tff(19522,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB159) | v124(constB159, bitIndex2) | (~v121(constB159, bitIndex2)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19523,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB159, bitIndex2)) | v26(constB159) | v124(constB159, bitIndex2)),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19522, 19521])).
% 25.61/16.97 tff(19524,plain,
% 25.61/16.97 ((~v121(constB159, bitIndex2)) | v124(constB159, bitIndex2)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19523, 390, 19407])).
% 25.61/16.97 tff(19525,plain,
% 25.61/16.97 (v124(constB159, bitIndex2)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19524, 19517])).
% 25.61/16.97 tff(19526,assumption,(~v124(constB157, bitIndex1)), introduced(assumption)).
% 25.61/16.97 tff(19527,plain,
% 25.61/16.97 ((~v121(constB157, bitIndex1)) | v26(constB157)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19235, 476, 19526])).
% 25.61/16.97 tff(19528,plain,
% 25.61/16.97 (~v121(constB157, bitIndex1)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19527, 19489])).
% 25.61/16.97 tff(19529,plain,
% 25.61/16.97 (~v123(constB158, bitIndex1)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19241, 19528])).
% 25.61/16.97 tff(19530,plain,
% 25.61/16.97 ((~v84(constB158, bitIndex1)) | (~v94(constB158))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19248, 509, 19529])).
% 25.61/16.97 tff(19531,plain,
% 25.61/16.97 (~v84(constB158, bitIndex1)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19530, 19495])).
% 25.61/16.97 tff(19532,plain,
% 25.61/16.97 (~v84(constB159, bitIndex1)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19258, 19531])).
% 25.61/16.97 tff(19533,assumption,(v124(constB157, bitIndex0)), introduced(assumption)).
% 25.61/16.97 tff(19534,plain,
% 25.61/16.97 (v26(constB157) | v121(constB157, bitIndex0)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19269, 547, 19533])).
% 25.61/16.97 tff(19535,plain,
% 25.61/16.97 (v121(constB157, bitIndex0)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19534, 19489])).
% 25.61/16.97 tff(19536,plain,
% 25.61/16.97 (v123(constB158, bitIndex0)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19275, 19535])).
% 25.61/16.97 tff(19537,plain,
% 25.61/16.97 (v84(constB158, bitIndex0) | (~v94(constB158))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19282, 577, 19536])).
% 25.61/16.97 tff(19538,plain,
% 25.61/16.97 (v84(constB158, bitIndex0)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19537, 19495])).
% 25.61/16.97 tff(19539,plain,
% 25.61/16.97 (v84(constB159, bitIndex0)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19292, 19538])).
% 25.61/16.97 tff(19540,plain,
% 25.61/16.97 (v145(constB159)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19296, 614, 19539, 19532, 19499])).
% 25.61/16.97 tff(19541,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB159)) | (~v124(constB159, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB159)) | (~v124(constB159, bitIndex2)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19542,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB159)) | (~v124(constB159, bitIndex2)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19543,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB159)) | (~v124(constB159, bitIndex2))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19542, 19541])).
% 25.61/16.97 tff(19544,plain,
% 25.61/16.97 ($false),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19543, 625, 19540, 19525])).
% 25.61/16.97 tff(19545,plain,(v26(constB157) | (~v84(constB160, bitIndex2)) | v123(constB158, bitIndex2) | (~v107(constB157)) | v124(constB157, bitIndex1) | (~v124(constB157, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.61/16.97 tff(19546,plain,
% 25.61/16.97 (~v84(constB160, bitIndex2)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19545, 19190, 19086, 19082, 19229, 19266])).
% 25.61/16.97 tff(19547,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19548,plain,
% 25.61/16.97 (((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2))) <=> (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19549,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19548])).
% 25.61/16.97 tff(19550,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19549, 19547])).
% 25.61/16.97 tff(19551,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB160, constB161)) | v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19552,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB160, bitIndex2) | (~nextState(constB160, constB161)) | v94(constB161) | (~v84(constB161, bitIndex2))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19551, 19550])).
% 25.61/16.97 tff(19553,plain,
% 25.61/16.97 (v84(constB160, bitIndex2) | v94(constB161) | (~v84(constB161, bitIndex2))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19552, 105, 19431])).
% 25.61/16.97 tff(19554,plain,
% 25.61/16.97 (v84(constB160, bitIndex2) | (~v84(constB161, bitIndex2))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19553, 19443])).
% 25.61/16.97 tff(19555,plain,
% 25.61/16.97 (~v84(constB161, bitIndex2)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19554, 19546])).
% 25.61/16.97 tff(19556,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB161, bitIndex0) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v115(constB161))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB161, bitIndex0) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v115(constB161))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19557,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB161, bitIndex0) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v115(constB161))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19558,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB161, bitIndex0) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex2) | v115(constB161)),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19557, 19556])).
% 25.61/16.97 tff(19559,plain,
% 25.61/16.97 (v84(constB161, bitIndex0) | (~v84(constB161, bitIndex1))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19558, 950, 19555, 19487])).
% 25.61/16.97 tff(19560,plain,
% 25.61/16.97 ($false),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19559, 19486, 19452])).
% 25.61/16.97 tff(19561,plain,((~v118(constB155)) | v115(constB161)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.97 tff(19562,plain,
% 25.61/16.97 (v115(constB161)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19561, 18875])).
% 25.61/16.97 tff(19563,assumption,(v115(constB161)), introduced(assumption)).
% 25.61/16.97 tff(19564,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB161) | (~v115(constB161)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB161) | (~v115(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19565,plain,
% 25.61/16.97 (((~v115(constB161)) | v111(constB161)) <=> (v111(constB161) | (~v115(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19566,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB161)) | v111(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB161) | (~v115(constB161))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19565])).
% 25.61/16.97 tff(19567,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB161)) | v111(constB161))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB161) | (~v115(constB161)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19566, 19564])).
% 25.61/16.97 tff(19568,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB161)) | v111(constB161))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19569,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB161) | (~v115(constB161))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19568, 19567])).
% 25.61/16.97 tff(19570,plain,
% 25.61/16.97 (v111(constB161)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19569, 961, 19563])).
% 25.61/16.97 tff(19571,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB161) | (~v111(constB161)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB161) | (~v111(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19572,plain,
% 25.61/16.97 (((~v111(constB161)) | v110(constB161)) <=> (v110(constB161) | (~v111(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19573,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB161)) | v110(constB161))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB161) | (~v111(constB161))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19572])).
% 25.61/16.97 tff(19574,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB161)) | v110(constB161))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB161) | (~v111(constB161)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19573, 19571])).
% 25.61/16.97 tff(19575,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB161)) | v110(constB161))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19576,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB161) | (~v111(constB161))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19575, 19574])).
% 25.61/16.97 tff(19577,plain,
% 25.61/16.97 (v110(constB161)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19576, 207, 19570])).
% 25.61/16.97 tff(19578,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB161) | (~v110(constB161)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB161) | (~v110(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19579,plain,
% 25.61/16.97 (((~v110(constB161)) | v109(constB161)) <=> (v109(constB161) | (~v110(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19580,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB161)) | v109(constB161))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB161) | (~v110(constB161))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19579])).
% 25.61/16.97 tff(19581,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB161)) | v109(constB161))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB161) | (~v110(constB161)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19580, 19578])).
% 25.61/16.97 tff(19582,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB161)) | v109(constB161))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19583,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB161) | (~v110(constB161))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19582, 19581])).
% 25.61/16.97 tff(19584,plain,
% 25.61/16.97 (v109(constB161)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19583, 221, 19577])).
% 25.61/16.97 tff(19585,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB161)) | v108(constB161))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB161)) | v108(constB161))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19586,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB161)) | v108(constB161))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19587,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB161)) | v108(constB161)),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19586, 19585])).
% 25.61/16.97 tff(19588,plain,
% 25.61/16.97 (v108(constB161)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19587, 235, 19584])).
% 25.61/16.97 tff(19589,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB161) | (~v108(constB161)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB161) | (~v108(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19590,plain,
% 25.61/16.97 (((~v108(constB161)) | v107(constB161)) <=> (v107(constB161) | (~v108(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19591,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB161)) | v107(constB161))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB161) | (~v108(constB161))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19590])).
% 25.61/16.97 tff(19592,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB161)) | v107(constB161))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB161) | (~v108(constB161)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19591, 19589])).
% 25.61/16.97 tff(19593,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB161)) | v107(constB161))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19594,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB161) | (~v108(constB161))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19593, 19592])).
% 25.61/16.97 tff(19595,plain,
% 25.61/16.97 (v107(constB161)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19594, 249, 19588])).
% 25.61/16.97 tff(19596,assumption,(v26(constB161)), introduced(assumption)).
% 25.61/16.97 tff(19597,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB161))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19598,plain,
% 25.61/16.97 ($false),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19597, 18, 19596])).
% 25.61/16.97 tff(19599,plain,(~v26(constB161)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.97 tff(19600,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | v106(constB161) | (~v107(constB161)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19601,plain,
% 25.61/16.97 ((v26(constB161) | (~v107(constB161)) | v106(constB161)) <=> (v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19602,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | v106(constB161) | (~v107(constB161))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19601])).
% 25.61/16.97 tff(19603,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19602, 19600])).
% 25.61/16.97 tff(19604,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB161) | (~v107(constB161)) | v106(constB161))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19605,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB161) | v106(constB161) | (~v107(constB161))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19604, 19603])).
% 25.61/16.97 tff(19606,plain,
% 25.61/16.97 (v106(constB161) | (~v107(constB161))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19605, 263, 19599])).
% 25.61/16.97 tff(19607,plain,
% 25.61/16.97 (v106(constB161)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19606, 19595])).
% 25.61/16.97 tff(19608,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB161) | (~v106(constB161)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB161) | (~v106(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19609,plain,
% 25.61/16.97 (((~v106(constB161)) | v102(constB161)) <=> (v102(constB161) | (~v106(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19610,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB161)) | v102(constB161))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB161) | (~v106(constB161))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19609])).
% 25.61/16.97 tff(19611,plain,
% 25.61/16.97 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB161)) | v102(constB161))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB161) | (~v106(constB161)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19610, 19608])).
% 25.61/16.97 tff(19612,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB161)) | v102(constB161))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19613,plain,
% 25.61/16.97 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB161) | (~v106(constB161))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19612, 19611])).
% 25.61/16.97 tff(19614,plain,
% 25.61/16.97 (v102(constB161)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19613, 275, 19607])).
% 25.61/16.97 tff(19615,plain,
% 25.61/16.97 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19616,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_161_1')).
% 25.61/16.97 tff(19617,plain,
% 25.61/16.97 (nextState(constB161, constB162)),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19616, 19615])).
% 25.61/16.97 tff(19618,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19619,plain,
% 25.61/16.97 (((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162)) <=> ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19620,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161))))),
% 25.61/16.97 inference(monotonicity,[status(thm)],[19619])).
% 25.61/16.97 tff(19621,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161)))),
% 25.61/16.97 inference(transitivity,[status(thm)],[19620, 19618])).
% 25.61/16.97 tff(19622,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB161, constB162)) | (~v102(constB161)) | v104(constB162))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19623,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB161, constB162)) | v104(constB162) | (~v102(constB161))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19622, 19621])).
% 25.61/16.97 tff(19624,plain,
% 25.61/16.97 (v104(constB162) | (~v102(constB161))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19623, 295, 19617])).
% 25.61/16.97 tff(19625,plain,
% 25.61/16.97 (v104(constB162)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19624, 19614])).
% 25.61/16.97 tff(19626,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19627,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19628,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB161) | (~nextState(constB161, constB162)) | (~v98(constB162))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19627, 19626])).
% 25.61/16.97 tff(19629,plain,
% 25.61/16.97 (~v98(constB162)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19628, 313, 19617, 19428])).
% 25.61/16.97 tff(19630,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19631,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB161, constB162)) | v96(constB162) | v98(constB162))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19632,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB161, constB162)) | v96(constB162) | v98(constB162)),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19631, 19630])).
% 25.61/16.97 tff(19633,plain,
% 25.61/16.97 (v96(constB162) | v98(constB162)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19632, 327, 19617])).
% 25.61/16.97 tff(19634,plain,
% 25.61/16.97 (v96(constB162)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19633, 19629])).
% 25.61/16.97 tff(19635,plain,
% 25.61/16.97 (v1(constB162) <=> v1(constB162)),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19636,axiom,(v1(constB162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_162_1')).
% 25.61/16.97 tff(19637,plain,
% 25.61/16.97 (v1(constB162)),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19636, 19635])).
% 25.61/16.97 tff(19638,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))),
% 25.61/16.97 inference(rewrite,[status(thm)],[])).
% 25.61/16.97 tff(19639,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162)))),
% 25.61/16.97 inference(quant_inst,[status(thm)],[])).
% 25.61/16.97 tff(19640,plain,
% 25.61/16.97 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB161, constB162)) | v95(constB162) | (~v96(constB162)) | (~v1(constB162))),
% 25.61/16.97 inference(modus_ponens,[status(thm)],[19639, 19638])).
% 25.61/16.97 tff(19641,plain,
% 25.61/16.97 (v95(constB162) | (~v96(constB162))),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19640, 345, 19617, 19637])).
% 25.61/16.97 tff(19642,plain,
% 25.61/16.97 (v95(constB162)),
% 25.61/16.97 inference(unit_resolution,[status(thm)],[19641, 19634])).
% 25.61/16.97 tff(19643,plain,
% 25.61/16.97 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19644,plain,
% 25.61/16.98 (((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162)) <=> ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19645,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162))))),
% 25.61/16.98 inference(monotonicity,[status(thm)],[19644])).
% 25.61/16.98 tff(19646,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162)))),
% 25.61/16.98 inference(transitivity,[status(thm)],[19645, 19643])).
% 25.61/16.98 tff(19647,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB161, constB162)) | (~v95(constB162)) | (~v104(constB162)) | v94(constB162))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19648,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB161, constB162)) | v94(constB162) | (~v95(constB162)) | (~v104(constB162))),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19647, 19646])).
% 25.61/16.98 tff(19649,plain,
% 25.61/16.98 (v94(constB162) | (~v95(constB162)) | (~v104(constB162))),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19648, 360, 19617])).
% 25.61/16.98 tff(19650,plain,
% 25.61/16.98 (v94(constB162) | (~v104(constB162))),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19649, 19642])).
% 25.61/16.98 tff(19651,plain,
% 25.61/16.98 (v94(constB162)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19650, 19625])).
% 25.61/16.98 tff(19652,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB161)) | (~v124(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB161)) | (~v124(constB161, bitIndex2)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19653,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB161)) | (~v124(constB161, bitIndex2)))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19654,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB161)) | (~v124(constB161, bitIndex2))),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19653, 19652])).
% 25.61/16.98 tff(19655,plain,
% 25.61/16.98 (~v124(constB161, bitIndex2)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19654, 1046, 19563])).
% 25.61/16.98 tff(19656,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19657,plain,
% 25.61/16.98 ((v26(constB161) | v124(constB161, bitIndex2) | (~v121(constB161, bitIndex2))) <=> ((~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19658,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB161) | v124(constB161, bitIndex2) | (~v121(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2)))),
% 25.61/16.98 inference(monotonicity,[status(thm)],[19657])).
% 25.61/16.98 tff(19659,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB161) | v124(constB161, bitIndex2) | (~v121(constB161, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2))),
% 25.61/16.98 inference(transitivity,[status(thm)],[19658, 19656])).
% 25.61/16.98 tff(19660,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB161) | v124(constB161, bitIndex2) | (~v121(constB161, bitIndex2)))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19661,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB161, bitIndex2)) | v26(constB161) | v124(constB161, bitIndex2)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19660, 19659])).
% 25.61/16.98 tff(19662,plain,
% 25.61/16.98 ((~v121(constB161, bitIndex2)) | v124(constB161, bitIndex2)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19661, 390, 19599])).
% 25.61/16.98 tff(19663,plain,
% 25.61/16.98 (~v121(constB161, bitIndex2)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19662, 19655])).
% 25.61/16.98 tff(19664,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19665,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB161, constB162)) | v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2)))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19666,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB161, constB162)) | v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2))),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19665, 19664])).
% 25.61/16.98 tff(19667,plain,
% 25.61/16.98 (v121(constB161, bitIndex2) | (~v123(constB162, bitIndex2))),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19666, 408, 19617])).
% 25.61/16.98 tff(19668,plain,
% 25.61/16.98 (~v123(constB162, bitIndex2)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19667, 19663])).
% 25.61/16.98 tff(19669,plain,
% 25.61/16.98 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19670,plain,
% 25.61/16.98 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162)))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19671,plain,
% 25.61/16.98 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2) | (~v94(constB162))),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 25.61/16.98 tff(19672,plain,
% 25.61/16.98 ((~v84(constB162, bitIndex2)) | (~v94(constB162))),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19671, 423, 19668])).
% 25.61/16.98 tff(19673,plain,
% 25.61/16.98 (~v84(constB162, bitIndex2)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19672, 19651])).
% 25.61/16.98 tff(19674,plain,
% 25.61/16.98 ((~v1(constB163)) <=> (~v1(constB163))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19675,axiom,(~v1(constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_163_1_1')).
% 25.61/16.98 tff(19676,plain,
% 25.61/16.98 (~v1(constB163)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19675, 19674])).
% 25.61/16.98 tff(19677,plain,
% 25.61/16.98 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19678,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_162_1')).
% 25.61/16.98 tff(19679,plain,
% 25.61/16.98 (nextState(constB162, constB163)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19678, 19677])).
% 25.61/16.98 tff(19680,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19681,plain,
% 25.61/16.98 (((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163)) <=> (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19682,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163))))),
% 25.61/16.98 inference(monotonicity,[status(thm)],[19681])).
% 25.61/16.98 tff(19683,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163)))),
% 25.61/16.98 inference(transitivity,[status(thm)],[19682, 19680])).
% 25.61/16.98 tff(19684,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB162, constB163)) | (~v95(constB163)) | v1(constB163))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19685,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB163) | (~nextState(constB162, constB163)) | (~v95(constB163))),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19684, 19683])).
% 25.61/16.98 tff(19686,plain,
% 25.61/16.98 (~v95(constB163)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19685, 73, 19679, 19676])).
% 25.61/16.98 tff(19687,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19688,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163)))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19689,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB162, constB163)) | v95(constB163) | (~v94(constB163))),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 25.61/16.98 tff(19690,plain,
% 25.61/16.98 (v95(constB163) | (~v94(constB163))),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19689, 90, 19679])).
% 25.61/16.98 tff(19691,plain,
% 25.61/16.98 (~v94(constB163)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19690, 19686])).
% 25.61/16.98 tff(19692,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19693,plain,
% 25.61/16.98 (((~nextState(constB162, constB163)) | v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2))) <=> (v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19694,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2))))),
% 25.61/16.98 inference(monotonicity,[status(thm)],[19693])).
% 25.61/16.98 tff(19695,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2)))),
% 25.61/16.98 inference(transitivity,[status(thm)],[19694, 19692])).
% 25.61/16.98 tff(19696,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB162, constB163)) | v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2)))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19697,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB162, bitIndex2) | (~nextState(constB162, constB163)) | v94(constB163) | (~v84(constB163, bitIndex2))),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19696, 19695])).
% 25.61/16.98 tff(19698,plain,
% 25.61/16.98 (v84(constB162, bitIndex2) | v94(constB163) | (~v84(constB163, bitIndex2))),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19697, 105, 19679])).
% 25.61/16.98 tff(19699,plain,
% 25.61/16.98 (v84(constB162, bitIndex2) | (~v84(constB163, bitIndex2))),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19698, 19691])).
% 25.61/16.98 tff(19700,plain,
% 25.61/16.98 (~v84(constB163, bitIndex2)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19699, 19673])).
% 25.61/16.98 tff(19701,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB161)) | v124(constB161, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB161)) | v124(constB161, bitIndex0))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19702,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB161)) | v124(constB161, bitIndex0))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19703,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB161)) | v124(constB161, bitIndex0)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19702, 19701])).
% 25.61/16.98 tff(19704,plain,
% 25.61/16.98 (v124(constB161, bitIndex0)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19703, 1140, 19563])).
% 25.61/16.98 tff(19705,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB161) | (~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB161) | (~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19706,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB161) | (~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19707,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB161) | (~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19706, 19705])).
% 25.61/16.98 tff(19708,plain,
% 25.61/16.98 ((~v124(constB161, bitIndex0)) | v121(constB161, bitIndex0)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19707, 547, 19599])).
% 25.61/16.98 tff(19709,plain,
% 25.61/16.98 (v121(constB161, bitIndex0)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19708, 19704])).
% 25.61/16.98 tff(19710,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19711,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19712,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19711, 19710])).
% 25.61/16.98 tff(19713,plain,
% 25.61/16.98 ((~v121(constB161, bitIndex0)) | v123(constB162, bitIndex0)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19712, 562, 19617])).
% 25.61/16.98 tff(19714,plain,
% 25.61/16.98 (v123(constB162, bitIndex0)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19713, 19709])).
% 25.61/16.98 tff(19715,plain,
% 25.61/16.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19716,plain,
% 25.61/16.98 ((v84(constB162, bitIndex0) | (~v94(constB162)) | (~v123(constB162, bitIndex0))) <=> (v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19717,plain,
% 25.61/16.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v94(constB162)) | (~v123(constB162, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162))))),
% 25.61/16.98 inference(monotonicity,[status(thm)],[19716])).
% 25.61/16.98 tff(19718,plain,
% 25.61/16.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v94(constB162)) | (~v123(constB162, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162)))),
% 25.61/16.98 inference(transitivity,[status(thm)],[19717, 19715])).
% 25.61/16.98 tff(19719,plain,
% 25.61/16.98 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB162, bitIndex0) | (~v94(constB162)) | (~v123(constB162, bitIndex0)))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19720,plain,
% 25.61/16.98 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0)) | (~v94(constB162))),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19719, 19718])).
% 25.61/16.98 tff(19721,plain,
% 25.61/16.98 (v84(constB162, bitIndex0) | (~v94(constB162))),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19720, 577, 19714])).
% 25.61/16.98 tff(19722,plain,
% 25.61/16.98 (v84(constB162, bitIndex0)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19721, 19651])).
% 25.61/16.98 tff(19723,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19724,plain,
% 25.61/16.98 (((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0)) <=> ((~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19725,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0)))),
% 25.61/16.98 inference(monotonicity,[status(thm)],[19724])).
% 25.61/16.98 tff(19726,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0))),
% 25.61/16.98 inference(transitivity,[status(thm)],[19725, 19723])).
% 25.61/16.98 tff(19727,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19728,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB162, bitIndex0)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex0)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19727, 19726])).
% 25.61/16.98 tff(19729,plain,
% 25.61/16.98 ((~v84(constB162, bitIndex0)) | v94(constB163) | v84(constB163, bitIndex0)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19728, 595, 19679])).
% 25.61/16.98 tff(19730,plain,
% 25.61/16.98 ((~v84(constB162, bitIndex0)) | v84(constB163, bitIndex0)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19729, 19691])).
% 25.61/16.98 tff(19731,plain,
% 25.61/16.98 (v84(constB163, bitIndex0)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19730, 19722])).
% 25.61/16.98 tff(19732,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB161)) | v124(constB161, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB161)) | v124(constB161, bitIndex1))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19733,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB161)) | v124(constB161, bitIndex1))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19734,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB161)) | v124(constB161, bitIndex1)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19733, 19732])).
% 25.61/16.98 tff(19735,plain,
% 25.61/16.98 (v124(constB161, bitIndex1)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19734, 1102, 19563])).
% 25.61/16.98 tff(19736,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB161) | (~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB161) | (~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19737,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB161) | (~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19738,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB161) | (~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19737, 19736])).
% 25.61/16.98 tff(19739,plain,
% 25.61/16.98 ((~v124(constB161, bitIndex1)) | v121(constB161, bitIndex1)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19738, 812, 19599])).
% 25.61/16.98 tff(19740,plain,
% 25.61/16.98 (v121(constB161, bitIndex1)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19739, 19735])).
% 25.61/16.98 tff(19741,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19742,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB161, constB162)) | (~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19743,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB161, constB162)) | (~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19742, 19741])).
% 25.61/16.98 tff(19744,plain,
% 25.61/16.98 ((~v121(constB161, bitIndex1)) | v123(constB162, bitIndex1)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19743, 827, 19617])).
% 25.61/16.98 tff(19745,plain,
% 25.61/16.98 (v123(constB162, bitIndex1)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19744, 19740])).
% 25.61/16.98 tff(19746,plain,
% 25.61/16.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19747,plain,
% 25.61/16.98 ((v84(constB162, bitIndex1) | (~v94(constB162)) | (~v123(constB162, bitIndex1))) <=> (v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19748,plain,
% 25.61/16.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v94(constB162)) | (~v123(constB162, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162))))),
% 25.61/16.98 inference(monotonicity,[status(thm)],[19747])).
% 25.61/16.98 tff(19749,plain,
% 25.61/16.98 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v94(constB162)) | (~v123(constB162, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162)))),
% 25.61/16.98 inference(transitivity,[status(thm)],[19748, 19746])).
% 25.61/16.98 tff(19750,plain,
% 25.61/16.98 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB162, bitIndex1) | (~v94(constB162)) | (~v123(constB162, bitIndex1)))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19751,plain,
% 25.61/16.98 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1)) | (~v94(constB162))),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19750, 19749])).
% 25.61/16.98 tff(19752,plain,
% 25.61/16.98 (v84(constB162, bitIndex1) | (~v94(constB162))),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19751, 842, 19745])).
% 25.61/16.98 tff(19753,plain,
% 25.61/16.98 (v84(constB162, bitIndex1)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19752, 19651])).
% 25.61/16.98 tff(19754,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19755,plain,
% 25.61/16.98 (((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1)) <=> ((~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19756,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1)))),
% 25.61/16.98 inference(monotonicity,[status(thm)],[19755])).
% 25.61/16.98 tff(19757,plain,
% 25.61/16.98 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1))),
% 25.61/16.98 inference(transitivity,[status(thm)],[19756, 19754])).
% 25.61/16.98 tff(19758,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB162, constB163)) | (~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19759,plain,
% 25.61/16.98 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB162, bitIndex1)) | (~nextState(constB162, constB163)) | v94(constB163) | v84(constB163, bitIndex1)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19758, 19757])).
% 25.61/16.98 tff(19760,plain,
% 25.61/16.98 ((~v84(constB162, bitIndex1)) | v94(constB163) | v84(constB163, bitIndex1)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19759, 860, 19679])).
% 25.61/16.98 tff(19761,plain,
% 25.61/16.98 ((~v84(constB162, bitIndex1)) | v84(constB163, bitIndex1)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19760, 19691])).
% 25.61/16.98 tff(19762,plain,
% 25.61/16.98 (v84(constB163, bitIndex1)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19761, 19753])).
% 25.61/16.98 tff(19763,assumption,(~v116(constB163)), introduced(assumption)).
% 25.61/16.98 tff(19764,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB163, bitIndex0)) | (~v84(constB163, bitIndex1)) | v84(constB163, bitIndex2) | v116(constB163))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB163, bitIndex0)) | (~v84(constB163, bitIndex1)) | v84(constB163, bitIndex2) | v116(constB163))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19765,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB163, bitIndex0)) | (~v84(constB163, bitIndex1)) | v84(constB163, bitIndex2) | v116(constB163))),
% 25.61/16.98 inference(quant_inst,[status(thm)],[])).
% 25.61/16.98 tff(19766,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB163, bitIndex0)) | (~v84(constB163, bitIndex1)) | v84(constB163, bitIndex2) | v116(constB163)),
% 25.61/16.98 inference(modus_ponens,[status(thm)],[19765, 19764])).
% 25.61/16.98 tff(19767,plain,
% 25.61/16.98 ((~v84(constB163, bitIndex0)) | (~v84(constB163, bitIndex1)) | v84(constB163, bitIndex2)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19766, 1181, 19763])).
% 25.61/16.98 tff(19768,plain,
% 25.61/16.98 ($false),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19767, 19762, 19731, 19700])).
% 25.61/16.98 tff(19769,plain,((~v115(constB161)) | v116(constB163)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.98 tff(19770,plain,
% 25.61/16.98 (v116(constB163)),
% 25.61/16.98 inference(unit_resolution,[status(thm)],[19769, 19562])).
% 25.61/16.98 tff(19771,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB163) | (~v116(constB163)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB163) | (~v116(constB163)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19772,plain,
% 25.61/16.98 (((~v116(constB163)) | v110(constB163)) <=> (v110(constB163) | (~v116(constB163)))),
% 25.61/16.98 inference(rewrite,[status(thm)],[])).
% 25.61/16.98 tff(19773,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB163)) | v110(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB163) | (~v116(constB163))))),
% 25.61/16.98 inference(monotonicity,[status(thm)],[19772])).
% 25.61/16.98 tff(19774,plain,
% 25.61/16.98 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB163)) | v110(constB163))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB163) | (~v116(constB163)))),
% 25.61/16.98 inference(transitivity,[status(thm)],[19773, 19771])).
% 25.61/16.98 tff(19775,plain,
% 25.61/16.98 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB163)) | v110(constB163))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19776,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB163) | (~v116(constB163))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19775, 19774])).
% 25.61/16.99 tff(19777,plain,
% 25.61/16.99 (v110(constB163)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19776, 1192, 19770])).
% 25.61/16.99 tff(19778,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB163) | (~v110(constB163)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB163) | (~v110(constB163)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19779,plain,
% 25.61/16.99 (((~v110(constB163)) | v109(constB163)) <=> (v109(constB163) | (~v110(constB163)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19780,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB163)) | v109(constB163))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB163) | (~v110(constB163))))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19779])).
% 25.61/16.99 tff(19781,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB163)) | v109(constB163))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB163) | (~v110(constB163)))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19780, 19778])).
% 25.61/16.99 tff(19782,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB163)) | v109(constB163))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19783,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB163) | (~v110(constB163))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19782, 19781])).
% 25.61/16.99 tff(19784,plain,
% 25.61/16.99 (v109(constB163)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19783, 221, 19777])).
% 25.61/16.99 tff(19785,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB163)) | v108(constB163))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB163)) | v108(constB163))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19786,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB163)) | v108(constB163))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19787,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB163)) | v108(constB163)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19786, 19785])).
% 25.61/16.99 tff(19788,plain,
% 25.61/16.99 (v108(constB163)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19787, 235, 19784])).
% 25.61/16.99 tff(19789,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB163) | (~v108(constB163)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB163) | (~v108(constB163)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19790,plain,
% 25.61/16.99 (((~v108(constB163)) | v107(constB163)) <=> (v107(constB163) | (~v108(constB163)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19791,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB163)) | v107(constB163))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB163) | (~v108(constB163))))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19790])).
% 25.61/16.99 tff(19792,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB163)) | v107(constB163))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB163) | (~v108(constB163)))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19791, 19789])).
% 25.61/16.99 tff(19793,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB163)) | v107(constB163))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19794,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB163) | (~v108(constB163))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19793, 19792])).
% 25.61/16.99 tff(19795,plain,
% 25.61/16.99 (v107(constB163)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19794, 249, 19788])).
% 25.61/16.99 tff(19796,assumption,(v26(constB163)), introduced(assumption)).
% 25.61/16.99 tff(19797,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB163))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19798,plain,
% 25.61/16.99 ($false),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19797, 18, 19796])).
% 25.61/16.99 tff(19799,plain,(~v26(constB163)), inference(lemma,lemma(discharge,[]))).
% 25.61/16.99 tff(19800,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB163) | (~v107(constB163)) | v106(constB163))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB163) | (~v107(constB163)) | v106(constB163))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19801,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB163) | (~v107(constB163)) | v106(constB163))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19802,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB163) | (~v107(constB163)) | v106(constB163)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19801, 19800])).
% 25.61/16.99 tff(19803,plain,
% 25.61/16.99 ((~v107(constB163)) | v106(constB163)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19802, 263, 19799])).
% 25.61/16.99 tff(19804,plain,
% 25.61/16.99 (v106(constB163)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19803, 19795])).
% 25.61/16.99 tff(19805,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB163) | (~v106(constB163)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB163) | (~v106(constB163)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19806,plain,
% 25.61/16.99 (((~v106(constB163)) | v102(constB163)) <=> (v102(constB163) | (~v106(constB163)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19807,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB163)) | v102(constB163))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB163) | (~v106(constB163))))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19806])).
% 25.61/16.99 tff(19808,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB163)) | v102(constB163))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB163) | (~v106(constB163)))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19807, 19805])).
% 25.61/16.99 tff(19809,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB163)) | v102(constB163))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19810,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB163) | (~v106(constB163))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19809, 19808])).
% 25.61/16.99 tff(19811,plain,
% 25.61/16.99 (v102(constB163)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19810, 275, 19804])).
% 25.61/16.99 tff(19812,plain,
% 25.61/16.99 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19813,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_163_1')).
% 25.61/16.99 tff(19814,plain,
% 25.61/16.99 (nextState(constB163, constB164)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19813, 19812])).
% 25.61/16.99 tff(19815,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19816,plain,
% 25.61/16.99 (((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164)) <=> ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19817,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163))))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19816])).
% 25.61/16.99 tff(19818,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163)))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19817, 19815])).
% 25.61/16.99 tff(19819,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB163, constB164)) | (~v102(constB163)) | v104(constB164))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19820,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB163, constB164)) | v104(constB164) | (~v102(constB163))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19819, 19818])).
% 25.61/16.99 tff(19821,plain,
% 25.61/16.99 (v104(constB164) | (~v102(constB163))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19820, 295, 19814])).
% 25.61/16.99 tff(19822,plain,
% 25.61/16.99 (v104(constB164)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19821, 19811])).
% 25.61/16.99 tff(19823,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19824,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164)))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19825,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB163) | (~nextState(constB163, constB164)) | (~v98(constB164))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19824, 19823])).
% 25.61/16.99 tff(19826,plain,
% 25.61/16.99 (~v98(constB164)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19825, 313, 19814, 19676])).
% 25.61/16.99 tff(19827,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19828,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB163, constB164)) | v96(constB164) | v98(constB164))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19829,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB163, constB164)) | v96(constB164) | v98(constB164)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19828, 19827])).
% 25.61/16.99 tff(19830,plain,
% 25.61/16.99 (v96(constB164) | v98(constB164)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19829, 327, 19814])).
% 25.61/16.99 tff(19831,plain,
% 25.61/16.99 (v96(constB164)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19830, 19826])).
% 25.61/16.99 tff(19832,plain,
% 25.61/16.99 (v1(constB164) <=> v1(constB164)),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19833,axiom,(v1(constB164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_164_1')).
% 25.61/16.99 tff(19834,plain,
% 25.61/16.99 (v1(constB164)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19833, 19832])).
% 25.61/16.99 tff(19835,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19836,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164)))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19837,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB163, constB164)) | v95(constB164) | (~v96(constB164)) | (~v1(constB164))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19836, 19835])).
% 25.61/16.99 tff(19838,plain,
% 25.61/16.99 (v95(constB164) | (~v96(constB164))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19837, 345, 19814, 19834])).
% 25.61/16.99 tff(19839,plain,
% 25.61/16.99 (v95(constB164)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19838, 19831])).
% 25.61/16.99 tff(19840,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19841,plain,
% 25.61/16.99 (((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164)) <=> ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19842,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164))))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19841])).
% 25.61/16.99 tff(19843,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164)))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19842, 19840])).
% 25.61/16.99 tff(19844,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB163, constB164)) | (~v95(constB164)) | (~v104(constB164)) | v94(constB164))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19845,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB163, constB164)) | v94(constB164) | (~v95(constB164)) | (~v104(constB164))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19844, 19843])).
% 25.61/16.99 tff(19846,plain,
% 25.61/16.99 (v94(constB164) | (~v95(constB164)) | (~v104(constB164))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19845, 360, 19814])).
% 25.61/16.99 tff(19847,plain,
% 25.61/16.99 (v94(constB164) | (~v104(constB164))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19846, 19839])).
% 25.61/16.99 tff(19848,plain,
% 25.61/16.99 (v94(constB164)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19847, 19822])).
% 25.61/16.99 tff(19849,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB163)) | v124(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB163)) | v124(constB163, bitIndex2))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19850,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB163)) | v124(constB163, bitIndex2))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19851,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB163)) | v124(constB163, bitIndex2)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19850, 19849])).
% 25.61/16.99 tff(19852,plain,
% 25.61/16.99 (v124(constB163, bitIndex2)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19851, 1273, 19770])).
% 25.61/16.99 tff(19853,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19854,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19855,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB163) | (~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19854, 19853])).
% 25.61/16.99 tff(19856,plain,
% 25.61/16.99 ((~v124(constB163, bitIndex2)) | v121(constB163, bitIndex2)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19855, 1287, 19799])).
% 25.61/16.99 tff(19857,plain,
% 25.61/16.99 (v121(constB163, bitIndex2)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19856, 19852])).
% 25.61/16.99 tff(19858,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19859,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19860,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB163, constB164)) | (~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19859, 19858])).
% 25.61/16.99 tff(19861,plain,
% 25.61/16.99 ((~v121(constB163, bitIndex2)) | v123(constB164, bitIndex2)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19860, 1302, 19814])).
% 25.61/16.99 tff(19862,plain,
% 25.61/16.99 (v123(constB164, bitIndex2)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19861, 19857])).
% 25.61/16.99 tff(19863,plain,
% 25.61/16.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19864,plain,
% 25.61/16.99 ((v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2))) <=> (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19865,plain,
% 25.61/16.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164))))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19864])).
% 25.61/16.99 tff(19866,plain,
% 25.61/16.99 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164)))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19865, 19863])).
% 25.61/16.99 tff(19867,plain,
% 25.61/16.99 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB164, bitIndex2) | (~v94(constB164)) | (~v123(constB164, bitIndex2)))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19868,plain,
% 25.61/16.99 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2)) | (~v94(constB164))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19867, 19866])).
% 25.61/16.99 tff(19869,plain,
% 25.61/16.99 (v84(constB164, bitIndex2) | (~v94(constB164))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19868, 1317, 19862])).
% 25.61/16.99 tff(19870,plain,
% 25.61/16.99 (v84(constB164, bitIndex2)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19869, 19848])).
% 25.61/16.99 tff(19871,plain,
% 25.61/16.99 ((~v1(constB165)) <=> (~v1(constB165))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19872,axiom,(~v1(constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_165_1_1')).
% 25.61/16.99 tff(19873,plain,
% 25.61/16.99 (~v1(constB165)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19872, 19871])).
% 25.61/16.99 tff(19874,plain,
% 25.61/16.99 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19875,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_164_1')).
% 25.61/16.99 tff(19876,plain,
% 25.61/16.99 (nextState(constB164, constB165)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19875, 19874])).
% 25.61/16.99 tff(19877,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19878,plain,
% 25.61/16.99 (((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165)) <=> (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19879,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165))))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19878])).
% 25.61/16.99 tff(19880,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165)))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19879, 19877])).
% 25.61/16.99 tff(19881,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB164, constB165)) | (~v95(constB165)) | v1(constB165))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19882,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB165) | (~nextState(constB164, constB165)) | (~v95(constB165))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19881, 19880])).
% 25.61/16.99 tff(19883,plain,
% 25.61/16.99 (~v95(constB165)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19882, 73, 19876, 19873])).
% 25.61/16.99 tff(19884,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19885,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165)))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19886,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB164, constB165)) | v95(constB165) | (~v94(constB165))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19885, 19884])).
% 25.61/16.99 tff(19887,plain,
% 25.61/16.99 (v95(constB165) | (~v94(constB165))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19886, 90, 19876])).
% 25.61/16.99 tff(19888,plain,
% 25.61/16.99 (~v94(constB165)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19887, 19883])).
% 25.61/16.99 tff(19889,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19890,plain,
% 25.61/16.99 (((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2)) <=> ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19891,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2)))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19890])).
% 25.61/16.99 tff(19892,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19891, 19889])).
% 25.61/16.99 tff(19893,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB164, constB165)) | (~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19894,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB164, bitIndex2)) | (~nextState(constB164, constB165)) | v94(constB165) | v84(constB165, bitIndex2)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19893, 19892])).
% 25.61/16.99 tff(19895,plain,
% 25.61/16.99 ((~v84(constB164, bitIndex2)) | v94(constB165) | v84(constB165, bitIndex2)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19894, 1353, 19876])).
% 25.61/16.99 tff(19896,plain,
% 25.61/16.99 ((~v84(constB164, bitIndex2)) | v84(constB165, bitIndex2)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19895, 19888])).
% 25.61/16.99 tff(19897,plain,
% 25.61/16.99 (v84(constB165, bitIndex2)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19896, 19870])).
% 25.61/16.99 tff(19898,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB163)) | (~v124(constB163, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB163)) | (~v124(constB163, bitIndex1)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19899,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB163)) | (~v124(constB163, bitIndex1)))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19900,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB163)) | (~v124(constB163, bitIndex1))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19899, 19898])).
% 25.61/16.99 tff(19901,plain,
% 25.61/16.99 (~v124(constB163, bitIndex1)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19900, 1369, 19770])).
% 25.61/16.99 tff(19902,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19903,plain,
% 25.61/16.99 ((v26(constB163) | v124(constB163, bitIndex1) | (~v121(constB163, bitIndex1))) <=> ((~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19904,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB163) | v124(constB163, bitIndex1) | (~v121(constB163, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1)))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19903])).
% 25.61/16.99 tff(19905,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB163) | v124(constB163, bitIndex1) | (~v121(constB163, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19904, 19902])).
% 25.61/16.99 tff(19906,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB163) | v124(constB163, bitIndex1) | (~v121(constB163, bitIndex1)))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19907,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB163, bitIndex1)) | v26(constB163) | v124(constB163, bitIndex1)),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19906, 19905])).
% 25.61/16.99 tff(19908,plain,
% 25.61/16.99 ((~v121(constB163, bitIndex1)) | v124(constB163, bitIndex1)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19907, 476, 19799])).
% 25.61/16.99 tff(19909,plain,
% 25.61/16.99 (~v121(constB163, bitIndex1)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19908, 19901])).
% 25.61/16.99 tff(19910,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19911,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1)))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19912,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19911, 19910])).
% 25.61/16.99 tff(19913,plain,
% 25.61/16.99 (v121(constB163, bitIndex1) | (~v123(constB164, bitIndex1))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19912, 494, 19814])).
% 25.61/16.99 tff(19914,plain,
% 25.61/16.99 (~v123(constB164, bitIndex1)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19913, 19909])).
% 25.61/16.99 tff(19915,plain,
% 25.61/16.99 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19916,plain,
% 25.61/16.99 (((~v84(constB164, bitIndex1)) | (~v94(constB164)) | v123(constB164, bitIndex1)) <=> ((~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19917,plain,
% 25.61/16.99 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~v94(constB164)) | v123(constB164, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164))))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19916])).
% 25.61/16.99 tff(19918,plain,
% 25.61/16.99 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~v94(constB164)) | v123(constB164, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164)))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19917, 19915])).
% 25.61/16.99 tff(19919,plain,
% 25.61/16.99 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB164, bitIndex1)) | (~v94(constB164)) | v123(constB164, bitIndex1))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19920,plain,
% 25.61/16.99 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1) | (~v94(constB164))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19919, 19918])).
% 25.61/16.99 tff(19921,plain,
% 25.61/16.99 ((~v84(constB164, bitIndex1)) | (~v94(constB164))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19920, 509, 19914])).
% 25.61/16.99 tff(19922,plain,
% 25.61/16.99 (~v84(constB164, bitIndex1)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19921, 19848])).
% 25.61/16.99 tff(19923,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19924,plain,
% 25.61/16.99 (((~nextState(constB164, constB165)) | v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1))) <=> (v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19925,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1))))),
% 25.61/16.99 inference(monotonicity,[status(thm)],[19924])).
% 25.61/16.99 tff(19926,plain,
% 25.61/16.99 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1)))),
% 25.61/16.99 inference(transitivity,[status(thm)],[19925, 19923])).
% 25.61/16.99 tff(19927,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1)))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19928,plain,
% 25.61/16.99 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB164, bitIndex1) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex1))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19927, 19926])).
% 25.61/16.99 tff(19929,plain,
% 25.61/16.99 (v84(constB164, bitIndex1) | v94(constB165) | (~v84(constB165, bitIndex1))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19928, 126, 19876])).
% 25.61/16.99 tff(19930,plain,
% 25.61/16.99 (v84(constB164, bitIndex1) | (~v84(constB165, bitIndex1))),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19929, 19888])).
% 25.61/16.99 tff(19931,plain,
% 25.61/16.99 (~v84(constB165, bitIndex1)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19930, 19922])).
% 25.61/16.99 tff(19932,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB163)) | (~v124(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB163)) | (~v124(constB163, bitIndex0)))),
% 25.61/16.99 inference(rewrite,[status(thm)],[])).
% 25.61/16.99 tff(19933,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB163)) | (~v124(constB163, bitIndex0)))),
% 25.61/16.99 inference(quant_inst,[status(thm)],[])).
% 25.61/16.99 tff(19934,plain,
% 25.61/16.99 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB163)) | (~v124(constB163, bitIndex0))),
% 25.61/16.99 inference(modus_ponens,[status(thm)],[19933, 19932])).
% 25.61/16.99 tff(19935,plain,
% 25.61/16.99 (~v124(constB163, bitIndex0)),
% 25.61/16.99 inference(unit_resolution,[status(thm)],[19934, 1410, 19770])).
% 25.61/16.99 tff(19936,plain,
% 25.61/16.99 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19937,plain,
% 25.61/17.00 ((v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0))) <=> ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19938,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0)))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[19937])).
% 25.61/17.00 tff(19939,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0))),
% 25.61/17.00 inference(transitivity,[status(thm)],[19938, 19936])).
% 25.61/17.00 tff(19940,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB163) | v124(constB163, bitIndex0) | (~v121(constB163, bitIndex0)))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19941,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB163, bitIndex0)) | v26(constB163) | v124(constB163, bitIndex0)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[19940, 19939])).
% 25.61/17.00 tff(19942,plain,
% 25.61/17.00 ((~v121(constB163, bitIndex0)) | v124(constB163, bitIndex0)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19941, 890, 19799])).
% 25.61/17.00 tff(19943,plain,
% 25.61/17.00 (~v121(constB163, bitIndex0)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19942, 19935])).
% 25.61/17.00 tff(19944,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19945,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0)))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19946,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB163, constB164)) | v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[19945, 19944])).
% 25.61/17.00 tff(19947,plain,
% 25.61/17.00 (v121(constB163, bitIndex0) | (~v123(constB164, bitIndex0))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19946, 908, 19814])).
% 25.61/17.00 tff(19948,plain,
% 25.61/17.00 (~v123(constB164, bitIndex0)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19947, 19943])).
% 25.61/17.00 tff(19949,plain,
% 25.61/17.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19950,plain,
% 25.61/17.00 (((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0)) <=> ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19951,plain,
% 25.61/17.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164))))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[19950])).
% 25.61/17.00 tff(19952,plain,
% 25.61/17.00 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164)))),
% 25.61/17.00 inference(transitivity,[status(thm)],[19951, 19949])).
% 25.61/17.00 tff(19953,plain,
% 25.61/17.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB164, bitIndex0)) | (~v94(constB164)) | v123(constB164, bitIndex0))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19954,plain,
% 25.61/17.00 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0) | (~v94(constB164))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[19953, 19952])).
% 25.61/17.00 tff(19955,plain,
% 25.61/17.00 ((~v84(constB164, bitIndex0)) | (~v94(constB164))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19954, 923, 19948])).
% 25.61/17.00 tff(19956,plain,
% 25.61/17.00 (~v84(constB164, bitIndex0)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19955, 19848])).
% 25.61/17.00 tff(19957,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19958,plain,
% 25.61/17.00 (((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0))) <=> (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19959,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0))))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[19958])).
% 25.61/17.00 tff(19960,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 25.61/17.00 inference(transitivity,[status(thm)],[19959, 19957])).
% 25.61/17.00 tff(19961,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB164, constB165)) | v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0)))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19962,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB164, bitIndex0) | (~nextState(constB164, constB165)) | v94(constB165) | (~v84(constB165, bitIndex0))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 25.61/17.00 tff(19963,plain,
% 25.61/17.00 (v84(constB164, bitIndex0) | v94(constB165) | (~v84(constB165, bitIndex0))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19962, 147, 19876])).
% 25.61/17.00 tff(19964,plain,
% 25.61/17.00 (v84(constB164, bitIndex0) | (~v84(constB165, bitIndex0))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19963, 19888])).
% 25.61/17.00 tff(19965,plain,
% 25.61/17.00 (~v84(constB165, bitIndex0)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19964, 19956])).
% 25.61/17.00 tff(19966,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)) | v172(constB165))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)) | v172(constB165))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19967,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)) | v172(constB165))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19968,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)) | v172(constB165)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[19967, 19966])).
% 25.61/17.00 tff(19969,plain,
% 25.61/17.00 (v172(constB165)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19968, 1454, 19965, 19931, 19897])).
% 25.61/17.00 tff(19970,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB165) | (~v172(constB165)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB165) | (~v172(constB165)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19971,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB165) | (~v172(constB165)))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19972,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB165) | (~v172(constB165))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[19971, 19970])).
% 25.61/17.00 tff(19973,plain,
% 25.61/17.00 (v109(constB165)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19972, 1468, 19969])).
% 25.61/17.00 tff(19974,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v109(constB165)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v109(constB165)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19975,plain,
% 25.61/17.00 (((~v109(constB165)) | v108(constB165)) <=> (v108(constB165) | (~v109(constB165)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19976,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB165) | (~v109(constB165))))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[19975])).
% 25.61/17.00 tff(19977,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB165)) | v108(constB165))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v109(constB165)))),
% 25.61/17.00 inference(transitivity,[status(thm)],[19976, 19974])).
% 25.61/17.00 tff(19978,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB165)) | v108(constB165))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19979,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB165) | (~v109(constB165))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[19978, 19977])).
% 25.61/17.00 tff(19980,plain,
% 25.61/17.00 (v108(constB165)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19979, 235, 19973])).
% 25.61/17.00 tff(19981,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB165) | (~v108(constB165)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB165) | (~v108(constB165)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19982,plain,
% 25.61/17.00 (((~v108(constB165)) | v107(constB165)) <=> (v107(constB165) | (~v108(constB165)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19983,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB165)) | v107(constB165))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB165) | (~v108(constB165))))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[19982])).
% 25.61/17.00 tff(19984,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB165)) | v107(constB165))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB165) | (~v108(constB165)))),
% 25.61/17.00 inference(transitivity,[status(thm)],[19983, 19981])).
% 25.61/17.00 tff(19985,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB165)) | v107(constB165))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19986,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB165) | (~v108(constB165))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[19985, 19984])).
% 25.61/17.00 tff(19987,plain,
% 25.61/17.00 (v107(constB165)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19986, 249, 19980])).
% 25.61/17.00 tff(19988,assumption,(v26(constB165)), introduced(assumption)).
% 25.61/17.00 tff(19989,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB165))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19990,plain,
% 25.61/17.00 ($false),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19989, 18, 19988])).
% 25.61/17.00 tff(19991,plain,(~v26(constB165)), inference(lemma,lemma(discharge,[]))).
% 25.61/17.00 tff(19992,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | (~v107(constB165)) | v106(constB165))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB165) | (~v107(constB165)) | v106(constB165))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19993,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB165) | (~v107(constB165)) | v106(constB165))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(19994,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB165) | (~v107(constB165)) | v106(constB165)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[19993, 19992])).
% 25.61/17.00 tff(19995,plain,
% 25.61/17.00 ((~v107(constB165)) | v106(constB165)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19994, 263, 19991])).
% 25.61/17.00 tff(19996,plain,
% 25.61/17.00 (v106(constB165)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[19995, 19987])).
% 25.61/17.00 tff(19997,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB165) | (~v106(constB165)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB165) | (~v106(constB165)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19998,plain,
% 25.61/17.00 (((~v106(constB165)) | v102(constB165)) <=> (v102(constB165) | (~v106(constB165)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(19999,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB165)) | v102(constB165))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB165) | (~v106(constB165))))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[19998])).
% 25.61/17.00 tff(20000,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB165)) | v102(constB165))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB165) | (~v106(constB165)))),
% 25.61/17.00 inference(transitivity,[status(thm)],[19999, 19997])).
% 25.61/17.00 tff(20001,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB165)) | v102(constB165))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20002,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB165) | (~v106(constB165))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20001, 20000])).
% 25.61/17.00 tff(20003,plain,
% 25.61/17.00 (v102(constB165)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20002, 275, 19996])).
% 25.61/17.00 tff(20004,plain,
% 25.61/17.00 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20005,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_165_1')).
% 25.61/17.00 tff(20006,plain,
% 25.61/17.00 (nextState(constB165, constB166)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20005, 20004])).
% 25.61/17.00 tff(20007,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20008,plain,
% 25.61/17.00 (((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166)) <=> ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20009,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165))))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[20008])).
% 25.61/17.00 tff(20010,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165)))),
% 25.61/17.00 inference(transitivity,[status(thm)],[20009, 20007])).
% 25.61/17.00 tff(20011,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB165, constB166)) | (~v102(constB165)) | v104(constB166))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20012,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB165, constB166)) | v104(constB166) | (~v102(constB165))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20011, 20010])).
% 25.61/17.00 tff(20013,plain,
% 25.61/17.00 (v104(constB166) | (~v102(constB165))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20012, 295, 20006])).
% 25.61/17.00 tff(20014,plain,
% 25.61/17.00 (v104(constB166)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20013, 20003])).
% 25.61/17.00 tff(20015,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20016,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166)))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20017,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB165) | (~nextState(constB165, constB166)) | (~v98(constB166))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20016, 20015])).
% 25.61/17.00 tff(20018,plain,
% 25.61/17.00 (~v98(constB166)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20017, 313, 20006, 19873])).
% 25.61/17.00 tff(20019,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20020,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB165, constB166)) | v96(constB166) | v98(constB166))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20021,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB165, constB166)) | v96(constB166) | v98(constB166)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20020, 20019])).
% 25.61/17.00 tff(20022,plain,
% 25.61/17.00 (v96(constB166) | v98(constB166)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20021, 327, 20006])).
% 25.61/17.00 tff(20023,plain,
% 25.61/17.00 (v96(constB166)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20022, 20018])).
% 25.61/17.00 tff(20024,plain,
% 25.61/17.00 (v1(constB166) <=> v1(constB166)),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20025,axiom,(v1(constB166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_166_1')).
% 25.61/17.00 tff(20026,plain,
% 25.61/17.00 (v1(constB166)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20025, 20024])).
% 25.61/17.00 tff(20027,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20028,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166)))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20029,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB165, constB166)) | v95(constB166) | (~v96(constB166)) | (~v1(constB166))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20028, 20027])).
% 25.61/17.00 tff(20030,plain,
% 25.61/17.00 (v95(constB166) | (~v96(constB166))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20029, 345, 20006, 20026])).
% 25.61/17.00 tff(20031,plain,
% 25.61/17.00 (v95(constB166)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20030, 20023])).
% 25.61/17.00 tff(20032,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20033,plain,
% 25.61/17.00 (((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166)) <=> ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20034,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166))))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[20033])).
% 25.61/17.00 tff(20035,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166)))),
% 25.61/17.00 inference(transitivity,[status(thm)],[20034, 20032])).
% 25.61/17.00 tff(20036,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB165, constB166)) | (~v95(constB166)) | (~v104(constB166)) | v94(constB166))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20037,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB165, constB166)) | v94(constB166) | (~v95(constB166)) | (~v104(constB166))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20036, 20035])).
% 25.61/17.00 tff(20038,plain,
% 25.61/17.00 (v94(constB166) | (~v95(constB166)) | (~v104(constB166))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20037, 360, 20006])).
% 25.61/17.00 tff(20039,plain,
% 25.61/17.00 (v94(constB166) | (~v104(constB166))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20038, 20031])).
% 25.61/17.00 tff(20040,plain,
% 25.61/17.00 (v94(constB166)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20039, 20014])).
% 25.61/17.00 tff(20041,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB165)) | v124(constB165, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB165)) | v124(constB165, bitIndex2))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20042,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB165)) | v124(constB165, bitIndex2))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20043,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB165)) | v124(constB165, bitIndex2)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20042, 20041])).
% 25.61/17.00 tff(20044,plain,
% 25.61/17.00 (v124(constB165, bitIndex2)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20043, 1539, 19969])).
% 25.61/17.00 tff(20045,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB165) | (~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB165) | (~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20046,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB165) | (~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20047,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB165) | (~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20046, 20045])).
% 25.61/17.00 tff(20048,plain,
% 25.61/17.00 ((~v124(constB165, bitIndex2)) | v121(constB165, bitIndex2)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20047, 1287, 19991])).
% 25.61/17.00 tff(20049,plain,
% 25.61/17.00 (v121(constB165, bitIndex2)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20048, 20044])).
% 25.61/17.00 tff(20050,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20051,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20052,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20051, 20050])).
% 25.61/17.00 tff(20053,plain,
% 25.61/17.00 ((~v121(constB165, bitIndex2)) | v123(constB166, bitIndex2)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20052, 1302, 20006])).
% 25.61/17.00 tff(20054,plain,
% 25.61/17.00 (v123(constB166, bitIndex2)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20053, 20049])).
% 25.61/17.00 tff(20055,plain,
% 25.61/17.00 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20056,plain,
% 25.61/17.00 ((v84(constB166, bitIndex2) | (~v94(constB166)) | (~v123(constB166, bitIndex2))) <=> (v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20057,plain,
% 25.61/17.00 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v94(constB166)) | (~v123(constB166, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166))))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[20056])).
% 25.61/17.00 tff(20058,plain,
% 25.61/17.00 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v94(constB166)) | (~v123(constB166, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166)))),
% 25.61/17.00 inference(transitivity,[status(thm)],[20057, 20055])).
% 25.61/17.00 tff(20059,plain,
% 25.61/17.00 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB166, bitIndex2) | (~v94(constB166)) | (~v123(constB166, bitIndex2)))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20060,plain,
% 25.61/17.00 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2)) | (~v94(constB166))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20059, 20058])).
% 25.61/17.00 tff(20061,plain,
% 25.61/17.00 (v84(constB166, bitIndex2) | (~v94(constB166))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20060, 1317, 20054])).
% 25.61/17.00 tff(20062,plain,
% 25.61/17.00 (v84(constB166, bitIndex2)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20061, 20040])).
% 25.61/17.00 tff(20063,plain,
% 25.61/17.00 ((~v1(constB167)) <=> (~v1(constB167))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20064,axiom,(~v1(constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_167_1_1')).
% 25.61/17.00 tff(20065,plain,
% 25.61/17.00 (~v1(constB167)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20064, 20063])).
% 25.61/17.00 tff(20066,plain,
% 25.61/17.00 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20067,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_166_1')).
% 25.61/17.00 tff(20068,plain,
% 25.61/17.00 (nextState(constB166, constB167)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20067, 20066])).
% 25.61/17.00 tff(20069,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20070,plain,
% 25.61/17.00 (((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167)) <=> (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20071,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167))))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[20070])).
% 25.61/17.00 tff(20072,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167)))),
% 25.61/17.00 inference(transitivity,[status(thm)],[20071, 20069])).
% 25.61/17.00 tff(20073,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB166, constB167)) | (~v95(constB167)) | v1(constB167))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20074,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB167) | (~nextState(constB166, constB167)) | (~v95(constB167))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20073, 20072])).
% 25.61/17.00 tff(20075,plain,
% 25.61/17.00 (~v95(constB167)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20074, 73, 20068, 20065])).
% 25.61/17.00 tff(20076,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20077,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167)))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20078,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB166, constB167)) | v95(constB167) | (~v94(constB167))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20077, 20076])).
% 25.61/17.00 tff(20079,plain,
% 25.61/17.00 (v95(constB167) | (~v94(constB167))),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20078, 90, 20068])).
% 25.61/17.00 tff(20080,plain,
% 25.61/17.00 (~v94(constB167)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20079, 20075])).
% 25.61/17.00 tff(20081,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20082,plain,
% 25.61/17.00 (((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2)) <=> ((~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20083,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2)))),
% 25.61/17.00 inference(monotonicity,[status(thm)],[20082])).
% 25.61/17.00 tff(20084,plain,
% 25.61/17.00 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2))),
% 25.61/17.00 inference(transitivity,[status(thm)],[20083, 20081])).
% 25.61/17.00 tff(20085,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20086,plain,
% 25.61/17.00 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB166, bitIndex2)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex2)),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20085, 20084])).
% 25.61/17.00 tff(20087,plain,
% 25.61/17.00 ((~v84(constB166, bitIndex2)) | v94(constB167) | v84(constB167, bitIndex2)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20086, 1353, 20068])).
% 25.61/17.00 tff(20088,plain,
% 25.61/17.00 ((~v84(constB166, bitIndex2)) | v84(constB167, bitIndex2)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20087, 20080])).
% 25.61/17.00 tff(20089,plain,
% 25.61/17.00 (v84(constB167, bitIndex2)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20088, 20062])).
% 25.61/17.00 tff(20090,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB165)) | (~v124(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB165)) | (~v124(constB165, bitIndex1)))),
% 25.61/17.00 inference(rewrite,[status(thm)],[])).
% 25.61/17.00 tff(20091,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB165)) | (~v124(constB165, bitIndex1)))),
% 25.61/17.00 inference(quant_inst,[status(thm)],[])).
% 25.61/17.00 tff(20092,plain,
% 25.61/17.00 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB165)) | (~v124(constB165, bitIndex1))),
% 25.61/17.00 inference(modus_ponens,[status(thm)],[20091, 20090])).
% 25.61/17.00 tff(20093,plain,
% 25.61/17.00 (~v124(constB165, bitIndex1)),
% 25.61/17.00 inference(unit_resolution,[status(thm)],[20092, 1595, 19969])).
% 25.61/17.00 tff(20094,plain,
% 25.61/17.00 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20095,plain,
% 25.61/17.01 ((v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1))) <=> ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20096,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1)))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20095])).
% 25.61/17.01 tff(20097,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20096, 20094])).
% 25.61/17.01 tff(20098,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB165) | v124(constB165, bitIndex1) | (~v121(constB165, bitIndex1)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20099,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB165, bitIndex1)) | v26(constB165) | v124(constB165, bitIndex1)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20098, 20097])).
% 25.61/17.01 tff(20100,plain,
% 25.61/17.01 ((~v121(constB165, bitIndex1)) | v124(constB165, bitIndex1)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20099, 476, 19991])).
% 25.61/17.01 tff(20101,plain,
% 25.61/17.01 (~v121(constB165, bitIndex1)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20100, 20093])).
% 25.61/17.01 tff(20102,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20103,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20104,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB165, constB166)) | v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20103, 20102])).
% 25.61/17.01 tff(20105,plain,
% 25.61/17.01 (v121(constB165, bitIndex1) | (~v123(constB166, bitIndex1))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20104, 494, 20006])).
% 25.61/17.01 tff(20106,plain,
% 25.61/17.01 (~v123(constB166, bitIndex1)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20105, 20101])).
% 25.61/17.01 tff(20107,plain,
% 25.61/17.01 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20108,plain,
% 25.61/17.01 (((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1)) <=> ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20109,plain,
% 25.61/17.01 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166))))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20108])).
% 25.61/17.01 tff(20110,plain,
% 25.61/17.01 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166)))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20109, 20107])).
% 25.61/17.01 tff(20111,plain,
% 25.61/17.01 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB166, bitIndex1)) | (~v94(constB166)) | v123(constB166, bitIndex1))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20112,plain,
% 25.61/17.01 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1) | (~v94(constB166))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20111, 20110])).
% 25.61/17.01 tff(20113,plain,
% 25.61/17.01 ((~v84(constB166, bitIndex1)) | (~v94(constB166))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20112, 509, 20106])).
% 25.61/17.01 tff(20114,plain,
% 25.61/17.01 (~v84(constB166, bitIndex1)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20113, 20040])).
% 25.61/17.01 tff(20115,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20116,plain,
% 25.61/17.01 (((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1))) <=> (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20117,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1))))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20116])).
% 25.61/17.01 tff(20118,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20117, 20115])).
% 25.61/17.01 tff(20119,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB166, constB167)) | v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20120,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB166, bitIndex1) | (~nextState(constB166, constB167)) | v94(constB167) | (~v84(constB167, bitIndex1))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20119, 20118])).
% 25.61/17.01 tff(20121,plain,
% 25.61/17.01 (v84(constB166, bitIndex1) | v94(constB167) | (~v84(constB167, bitIndex1))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20120, 126, 20068])).
% 25.61/17.01 tff(20122,plain,
% 25.61/17.01 (v84(constB166, bitIndex1) | (~v84(constB167, bitIndex1))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20121, 20080])).
% 25.61/17.01 tff(20123,plain,
% 25.61/17.01 (~v84(constB167, bitIndex1)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20122, 20114])).
% 25.61/17.01 tff(20124,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB165)) | v124(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB165)) | v124(constB165, bitIndex0))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20125,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB165)) | v124(constB165, bitIndex0))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20126,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB165)) | v124(constB165, bitIndex0)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20125, 20124])).
% 25.61/17.01 tff(20127,plain,
% 25.61/17.01 (v124(constB165, bitIndex0)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20126, 1636, 19969])).
% 25.61/17.01 tff(20128,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20129,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20130,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB165) | (~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20129, 20128])).
% 25.61/17.01 tff(20131,plain,
% 25.61/17.01 ((~v124(constB165, bitIndex0)) | v121(constB165, bitIndex0)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20130, 547, 19991])).
% 25.61/17.01 tff(20132,plain,
% 25.61/17.01 (v121(constB165, bitIndex0)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20131, 20127])).
% 25.61/17.01 tff(20133,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20134,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20135,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB165, constB166)) | (~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20134, 20133])).
% 25.61/17.01 tff(20136,plain,
% 25.61/17.01 ((~v121(constB165, bitIndex0)) | v123(constB166, bitIndex0)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20135, 562, 20006])).
% 25.61/17.01 tff(20137,plain,
% 25.61/17.01 (v123(constB166, bitIndex0)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20136, 20132])).
% 25.61/17.01 tff(20138,plain,
% 25.61/17.01 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20139,plain,
% 25.61/17.01 ((v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0))) <=> (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20140,plain,
% 25.61/17.01 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166))))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20139])).
% 25.61/17.01 tff(20141,plain,
% 25.61/17.01 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166)))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20140, 20138])).
% 25.61/17.01 tff(20142,plain,
% 25.61/17.01 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB166, bitIndex0) | (~v94(constB166)) | (~v123(constB166, bitIndex0)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20143,plain,
% 25.61/17.01 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0)) | (~v94(constB166))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20142, 20141])).
% 25.61/17.01 tff(20144,plain,
% 25.61/17.01 (v84(constB166, bitIndex0) | (~v94(constB166))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20143, 577, 20137])).
% 25.61/17.01 tff(20145,plain,
% 25.61/17.01 (v84(constB166, bitIndex0)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20144, 20040])).
% 25.61/17.01 tff(20146,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20147,plain,
% 25.61/17.01 (((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0)) <=> ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20148,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0)))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20147])).
% 25.61/17.01 tff(20149,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20148, 20146])).
% 25.61/17.01 tff(20150,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB166, constB167)) | (~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20151,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB166, bitIndex0)) | (~nextState(constB166, constB167)) | v94(constB167) | v84(constB167, bitIndex0)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20150, 20149])).
% 25.61/17.01 tff(20152,plain,
% 25.61/17.01 ((~v84(constB166, bitIndex0)) | v94(constB167) | v84(constB167, bitIndex0)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20151, 595, 20068])).
% 25.61/17.01 tff(20153,plain,
% 25.61/17.01 ((~v84(constB166, bitIndex0)) | v84(constB167, bitIndex0)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20152, 20080])).
% 25.61/17.01 tff(20154,plain,
% 25.61/17.01 (v84(constB167, bitIndex0)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20153, 20145])).
% 25.61/17.01 tff(20155,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex2)) | v118(constB167))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex2)) | v118(constB167))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20156,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex2)) | v118(constB167))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20157,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB167, bitIndex0)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex2)) | v118(constB167)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20156, 20155])).
% 25.61/17.01 tff(20158,plain,
% 25.61/17.01 (v118(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20157, 1677, 20154, 20123, 20089])).
% 25.61/17.01 tff(20159,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB167)) | v108(constB167))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB167)) | v108(constB167))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20160,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB167)) | v108(constB167))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20161,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (~v118(constB167)) | v108(constB167)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 25.61/17.01 tff(20162,plain,
% 25.61/17.01 (v108(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20161, 1688, 20158])).
% 25.61/17.01 tff(20163,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB167) | (~v108(constB167)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB167) | (~v108(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20164,plain,
% 25.61/17.01 (((~v108(constB167)) | v107(constB167)) <=> (v107(constB167) | (~v108(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20165,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB167)) | v107(constB167))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB167) | (~v108(constB167))))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20164])).
% 25.61/17.01 tff(20166,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB167)) | v107(constB167))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB167) | (~v108(constB167)))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20165, 20163])).
% 25.61/17.01 tff(20167,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB167)) | v107(constB167))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20168,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB167) | (~v108(constB167))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20167, 20166])).
% 25.61/17.01 tff(20169,plain,
% 25.61/17.01 (v107(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20168, 249, 20162])).
% 25.61/17.01 tff(20170,assumption,(v26(constB166)), introduced(assumption)).
% 25.61/17.01 tff(20171,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB166))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20172,plain,
% 25.61/17.01 ($false),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20171, 18, 20170])).
% 25.61/17.01 tff(20173,plain,(~v26(constB166)), inference(lemma,lemma(discharge,[]))).
% 25.61/17.01 tff(20174,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB166, constB167)) | v26(constB166) | (~v66(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB166, constB167)) | v26(constB166) | (~v66(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20175,plain,
% 25.61/17.01 ((v26(constB166) | (~nextState(constB166, constB167)) | (~v66(constB167))) <=> ((~nextState(constB166, constB167)) | v26(constB166) | (~v66(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20176,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB166) | (~nextState(constB166, constB167)) | (~v66(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB166, constB167)) | v26(constB166) | (~v66(constB167))))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20175])).
% 25.61/17.01 tff(20177,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB166) | (~nextState(constB166, constB167)) | (~v66(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB166, constB167)) | v26(constB166) | (~v66(constB167)))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20176, 20174])).
% 25.61/17.01 tff(20178,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB166) | (~nextState(constB166, constB167)) | (~v66(constB167)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20179,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB166, constB167)) | v26(constB166) | (~v66(constB167))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20178, 20177])).
% 25.61/17.01 tff(20180,plain,
% 25.61/17.01 (v26(constB166) | (~v66(constB167))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20179, 18346, 20068])).
% 25.61/17.01 tff(20181,plain,
% 25.61/17.01 (~v66(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20180, 20173])).
% 25.61/17.01 tff(20182,assumption,(v18(constB168)), introduced(assumption)).
% 25.61/17.01 tff(20183,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB168))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20184,plain,
% 25.61/17.01 ($false),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20183, 3012, 20182])).
% 25.61/17.01 tff(20185,plain,(~v18(constB168)), inference(lemma,lemma(discharge,[]))).
% 25.61/17.01 tff(20186,plain,
% 25.61/17.01 (v1(constB168) <=> v1(constB168)),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20187,axiom,(v1(constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_168_1')).
% 25.61/17.01 tff(20188,plain,
% 25.61/17.01 (v1(constB168)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20187, 20186])).
% 25.61/17.01 tff(20189,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20190,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB168) | (~v1(constB168)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20191,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB168) | (~v1(constB168))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20190, 20189])).
% 25.61/17.01 tff(20192,plain,
% 25.61/17.01 (v22(constB168)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20191, 3028, 20188])).
% 25.61/17.01 tff(20193,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB168) | (~v22(constB168)) | (~v19(constB168)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB168) | (~v22(constB168)) | (~v19(constB168)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20194,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB168) | (~v22(constB168)) | (~v19(constB168)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20195,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB168) | (~v22(constB168)) | (~v19(constB168))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20194, 20193])).
% 25.61/17.01 tff(20196,plain,
% 25.61/17.01 (v18(constB168) | (~v19(constB168))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20195, 3042, 20192])).
% 25.61/17.01 tff(20197,plain,
% 25.61/17.01 (~v19(constB168)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20196, 20185])).
% 25.61/17.01 tff(20198,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20199,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB168) | v19(constB168))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20200,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB168) | v19(constB168)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20199, 20198])).
% 25.61/17.01 tff(20201,plain,
% 25.61/17.01 (v13(constB168)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20200, 3054, 20197])).
% 25.61/17.01 tff(20202,plain,
% 25.61/17.01 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20203,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_167_1')).
% 25.61/17.01 tff(20204,plain,
% 25.61/17.01 (nextState(constB167, constB168)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20203, 20202])).
% 25.61/17.01 tff(20205,plain,
% 25.61/17.01 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20206,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20207,plain,
% 25.61/17.01 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB167) | (~v13(constB168)) | (~nextState(constB167, constB168))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20206, 20205])).
% 25.61/17.01 tff(20208,plain,
% 25.61/17.01 (v9(constB167) | (~v13(constB168))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20207, 3068, 20204])).
% 25.61/17.01 tff(20209,plain,
% 25.61/17.01 (v9(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20208, 20201])).
% 25.61/17.01 tff(20210,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB167) | v64(constB167) | (~v9(constB167)))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB167) | v64(constB167) | (~v9(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20211,plain,
% 25.61/17.01 ((v1(constB167) | (~v9(constB167)) | v64(constB167)) <=> (v1(constB167) | v64(constB167) | (~v9(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20212,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v64(constB167))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB167) | v64(constB167) | (~v9(constB167))))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20211])).
% 25.61/17.01 tff(20213,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v64(constB167))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB167) | v64(constB167) | (~v9(constB167)))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20212, 20210])).
% 25.61/17.01 tff(20214,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v64(constB167))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20215,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB167) | v64(constB167) | (~v9(constB167))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20214, 20213])).
% 25.61/17.01 tff(20216,plain,
% 25.61/17.01 (v64(constB167) | (~v9(constB167))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20215, 18392, 20065])).
% 25.61/17.01 tff(20217,plain,
% 25.61/17.01 (v64(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20216, 20209])).
% 25.61/17.01 tff(20218,plain,
% 25.61/17.01 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB167)) | v66(constB167) | (~v64(constB167)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB167)) | v66(constB167) | (~v64(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20219,plain,
% 25.61/17.01 (((~v64(constB167)) | v66(constB167) | (~v60(constB167))) <=> ((~v60(constB167)) | v66(constB167) | (~v64(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20220,plain,
% 25.61/17.01 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB167)) | v66(constB167) | (~v60(constB167)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v60(constB167)) | v66(constB167) | (~v64(constB167))))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20219])).
% 25.61/17.01 tff(20221,plain,
% 25.61/17.01 (((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB167)) | v66(constB167) | (~v60(constB167)))) <=> ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB167)) | v66(constB167) | (~v64(constB167)))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20220, 20218])).
% 25.61/17.01 tff(20222,plain,
% 25.61/17.01 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | ((~v64(constB167)) | v66(constB167) | (~v60(constB167)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20223,plain,
% 25.61/17.01 ((~![VarNext: state_type] : ((~v64(VarNext)) | v66(VarNext) | (~v60(VarNext)))) | (~v60(constB167)) | v66(constB167) | (~v64(constB167))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20222, 20221])).
% 25.61/17.01 tff(20224,plain,
% 25.61/17.01 ((~v60(constB167)) | v66(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20223, 18410, 20217])).
% 25.61/17.01 tff(20225,plain,
% 25.61/17.01 (~v60(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20224, 20181])).
% 25.61/17.01 tff(20226,assumption,(v71(constB167)), introduced(assumption)).
% 25.61/17.01 tff(20227,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (~v71(VarCurr))) | (~v71(constB167))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20228,plain,
% 25.61/17.01 ($false),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20227, 18426, 20226])).
% 25.61/17.01 tff(20229,plain,(~v71(constB167)), inference(lemma,lemma(discharge,[]))).
% 25.61/17.01 tff(20230,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB167)) | v80(constB167))) <=> ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB167)) | v80(constB167))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20231,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | ((~v9(constB167)) | v80(constB167))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20232,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v9(VarCurr)) | v80(VarCurr))) | (~v9(constB167)) | v80(constB167)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20231, 20230])).
% 25.61/17.01 tff(20233,plain,
% 25.61/17.01 (v80(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20232, 18436, 20209])).
% 25.61/17.01 tff(20234,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB167) | v78(constB167))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB167) | v78(constB167))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20235,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB167) | v78(constB167))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20236,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v1(VarCurr) | v78(VarCurr))) | v1(constB167) | v78(constB167)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20235, 20234])).
% 25.61/17.01 tff(20237,plain,
% 25.61/17.01 (v78(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20236, 18447, 20065])).
% 25.61/17.01 tff(20238,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB167) | (~v80(constB167)) | (~v78(constB167)))) <=> ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB167) | (~v80(constB167)) | (~v78(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20239,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | (v76(constB167) | (~v80(constB167)) | (~v78(constB167)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20240,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v76(VarCurr) | (~v80(VarCurr)) | (~v78(VarCurr)))) | v76(constB167) | (~v80(constB167)) | (~v78(constB167))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 25.61/17.01 tff(20241,plain,
% 25.61/17.01 (v76(constB167) | (~v80(constB167))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20240, 18461, 20237])).
% 25.61/17.01 tff(20242,plain,
% 25.61/17.01 (v76(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20241, 20233])).
% 25.61/17.01 tff(20243,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB167)) | v71(constB167) | (~v72(constB167)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB167)) | v71(constB167) | (~v72(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20244,plain,
% 25.61/17.01 ((v71(constB167) | (~v76(constB167)) | (~v72(constB167))) <=> ((~v76(constB167)) | v71(constB167) | (~v72(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20245,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB167) | (~v76(constB167)) | (~v72(constB167)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | ((~v76(constB167)) | v71(constB167) | (~v72(constB167))))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20244])).
% 25.61/17.01 tff(20246,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB167) | (~v76(constB167)) | (~v72(constB167)))) <=> ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB167)) | v71(constB167) | (~v72(constB167)))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20245, 20243])).
% 25.61/17.01 tff(20247,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (v71(constB167) | (~v76(constB167)) | (~v72(constB167)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20248,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v71(VarCurr) | (~v76(VarCurr)) | (~v72(VarCurr)))) | (~v76(constB167)) | v71(constB167) | (~v72(constB167))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20247, 20246])).
% 25.61/17.01 tff(20249,plain,
% 25.61/17.01 (v71(constB167) | (~v72(constB167))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20248, 18476, 20242])).
% 25.61/17.01 tff(20250,plain,
% 25.61/17.01 (~v72(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20249, 20229])).
% 25.61/17.01 tff(20251,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB167) | v72(constB167) | v74(constB167))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB167) | v72(constB167) | v74(constB167))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20252,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB167) | v72(constB167) | v74(constB167))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20253,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB167) | v72(constB167) | v74(constB167)),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20252, 20251])).
% 25.61/17.01 tff(20254,plain,
% 25.61/17.01 (v72(constB167) | v74(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20253, 18494, 20065])).
% 25.61/17.01 tff(20255,plain,
% 25.61/17.01 (v74(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20254, 20250])).
% 25.61/17.01 tff(20256,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB167) | (~v26(constB167)) | (~v74(constB167)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB167) | (~v26(constB167)) | (~v74(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20257,plain,
% 25.61/17.01 (((~v26(constB167)) | v60(constB167) | (~v74(constB167))) <=> (v60(constB167) | (~v26(constB167)) | (~v74(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20258,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB167)) | v60(constB167) | (~v74(constB167)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB167) | (~v26(constB167)) | (~v74(constB167))))),
% 25.61/17.01 inference(monotonicity,[status(thm)],[20257])).
% 25.61/17.01 tff(20259,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB167)) | v60(constB167) | (~v74(constB167)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB167) | (~v26(constB167)) | (~v74(constB167)))),
% 25.61/17.01 inference(transitivity,[status(thm)],[20258, 20256])).
% 25.61/17.01 tff(20260,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB167)) | v60(constB167) | (~v74(constB167)))),
% 25.61/17.01 inference(quant_inst,[status(thm)],[])).
% 25.61/17.01 tff(20261,plain,
% 25.61/17.01 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB167) | (~v26(constB167)) | (~v74(constB167))),
% 25.61/17.01 inference(modus_ponens,[status(thm)],[20260, 20259])).
% 25.61/17.01 tff(20262,plain,
% 25.61/17.01 (v60(constB167) | (~v26(constB167))),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20261, 18509, 20255])).
% 25.61/17.01 tff(20263,plain,
% 25.61/17.01 (~v26(constB167)),
% 25.61/17.01 inference(unit_resolution,[status(thm)],[20262, 20225])).
% 25.61/17.01 tff(20264,plain,
% 25.61/17.01 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | v106(constB167) | (~v107(constB167)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | v106(constB167) | (~v107(constB167)))),
% 25.61/17.01 inference(rewrite,[status(thm)],[])).
% 25.61/17.01 tff(20265,plain,
% 25.61/17.01 ((v26(constB167) | (~v107(constB167)) | v106(constB167)) <=> (v26(constB167) | v106(constB167) | (~v107(constB167)))),
% 25.61/17.02 inference(rewrite,[status(thm)],[])).
% 25.61/17.02 tff(20266,plain,
% 25.61/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | v106(constB167) | (~v107(constB167))))),
% 25.61/17.02 inference(monotonicity,[status(thm)],[20265])).
% 25.61/17.02 tff(20267,plain,
% 25.61/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | v106(constB167) | (~v107(constB167)))),
% 25.61/17.02 inference(transitivity,[status(thm)],[20266, 20264])).
% 25.61/17.02 tff(20268,plain,
% 25.61/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB167) | (~v107(constB167)) | v106(constB167))),
% 25.61/17.02 inference(quant_inst,[status(thm)],[])).
% 25.61/17.02 tff(20269,plain,
% 25.61/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB167) | v106(constB167) | (~v107(constB167))),
% 25.61/17.02 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 25.61/17.02 tff(20270,plain,
% 25.61/17.02 (v106(constB167) | (~v107(constB167))),
% 25.61/17.02 inference(unit_resolution,[status(thm)],[20269, 263, 20263])).
% 25.61/17.02 tff(20271,plain,
% 25.61/17.02 (v106(constB167)),
% 25.61/17.02 inference(unit_resolution,[status(thm)],[20270, 20169])).
% 25.61/17.02 tff(20272,plain,
% 25.61/17.02 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB167) | (~v106(constB167)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB167) | (~v106(constB167)))),
% 25.61/17.02 inference(rewrite,[status(thm)],[])).
% 25.61/17.02 tff(20273,plain,
% 25.61/17.02 (((~v106(constB167)) | v102(constB167)) <=> (v102(constB167) | (~v106(constB167)))),
% 25.61/17.02 inference(rewrite,[status(thm)],[])).
% 25.61/17.02 tff(20274,plain,
% 25.61/17.02 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB167)) | v102(constB167))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB167) | (~v106(constB167))))),
% 25.61/17.02 inference(monotonicity,[status(thm)],[20273])).
% 25.61/17.02 tff(20275,plain,
% 25.61/17.02 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB167)) | v102(constB167))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB167) | (~v106(constB167)))),
% 25.61/17.02 inference(transitivity,[status(thm)],[20274, 20272])).
% 25.61/17.02 tff(20276,plain,
% 25.61/17.02 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB167)) | v102(constB167))),
% 25.61/17.02 inference(quant_inst,[status(thm)],[])).
% 25.61/17.02 tff(20277,plain,
% 25.61/17.02 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB167) | (~v106(constB167))),
% 25.61/17.02 inference(modus_ponens,[status(thm)],[20276, 20275])).
% 25.61/17.02 tff(20278,plain,
% 25.61/17.02 (v102(constB167)),
% 25.61/17.02 inference(unit_resolution,[status(thm)],[20277, 275, 20271])).
% 25.61/17.02 tff(20279,plain,
% 25.61/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 25.61/17.02 inference(rewrite,[status(thm)],[])).
% 25.61/17.02 tff(20280,plain,
% 25.61/17.02 (((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168)) <=> ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 25.61/17.02 inference(rewrite,[status(thm)],[])).
% 25.61/17.02 tff(20281,plain,
% 25.61/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167))))),
% 25.61/17.02 inference(monotonicity,[status(thm)],[20280])).
% 25.61/17.02 tff(20282,plain,
% 25.61/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167)))),
% 25.61/17.02 inference(transitivity,[status(thm)],[20281, 20279])).
% 25.61/17.02 tff(20283,plain,
% 25.61/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB167, constB168)) | (~v102(constB167)) | v104(constB168))),
% 25.61/17.02 inference(quant_inst,[status(thm)],[])).
% 25.61/17.02 tff(20284,plain,
% 25.61/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB167, constB168)) | v104(constB168) | (~v102(constB167))),
% 25.61/17.02 inference(modus_ponens,[status(thm)],[20283, 20282])).
% 25.61/17.02 tff(20285,plain,
% 25.61/17.02 (v104(constB168) | (~v102(constB167))),
% 25.61/17.02 inference(unit_resolution,[status(thm)],[20284, 295, 20204])).
% 25.61/17.02 tff(20286,plain,
% 25.61/17.02 (v104(constB168)),
% 25.61/17.02 inference(unit_resolution,[status(thm)],[20285, 20278])).
% 25.61/17.02 tff(20287,plain,
% 25.61/17.02 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))),
% 25.61/17.02 inference(rewrite,[status(thm)],[])).
% 25.61/17.02 tff(20288,plain,
% 25.61/17.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168)))),
% 25.61/17.02 inference(quant_inst,[status(thm)],[])).
% 25.61/17.02 tff(20289,plain,
% 25.61/17.02 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB167) | (~nextState(constB167, constB168)) | (~v98(constB168))),
% 25.61/17.02 inference(modus_ponens,[status(thm)],[20288, 20287])).
% 25.61/17.02 tff(20290,plain,
% 25.61/17.02 (~v98(constB168)),
% 25.61/17.02 inference(unit_resolution,[status(thm)],[20289, 313, 20204, 20065])).
% 25.61/17.02 tff(20291,plain,
% 25.61/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))),
% 25.61/17.02 inference(rewrite,[status(thm)],[])).
% 25.61/17.02 tff(20292,plain,
% 25.61/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB167, constB168)) | v96(constB168) | v98(constB168))),
% 25.61/17.02 inference(quant_inst,[status(thm)],[])).
% 25.61/17.02 tff(20293,plain,
% 25.61/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB167, constB168)) | v96(constB168) | v98(constB168)),
% 25.61/17.02 inference(modus_ponens,[status(thm)],[20292, 20291])).
% 25.61/17.02 tff(20294,plain,
% 25.61/17.02 (v96(constB168) | v98(constB168)),
% 25.61/17.02 inference(unit_resolution,[status(thm)],[20293, 327, 20204])).
% 25.61/17.02 tff(20295,plain,
% 25.61/17.02 (v96(constB168)),
% 25.61/17.02 inference(unit_resolution,[status(thm)],[20294, 20290])).
% 25.61/17.02 tff(20296,plain,
% 25.61/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))),
% 25.61/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20297,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20298,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB167, constB168)) | v95(constB168) | (~v96(constB168)) | (~v1(constB168))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20297, 20296])).
% 25.71/17.02 tff(20299,plain,
% 25.71/17.02 (v95(constB168) | (~v96(constB168))),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20298, 345, 20204, 20188])).
% 25.71/17.02 tff(20300,plain,
% 25.71/17.02 (v95(constB168)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20299, 20295])).
% 25.71/17.02 tff(20301,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20302,plain,
% 25.71/17.02 (((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168)) <=> ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20303,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168))))),
% 25.71/17.02 inference(monotonicity,[status(thm)],[20302])).
% 25.71/17.02 tff(20304,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168)))),
% 25.71/17.02 inference(transitivity,[status(thm)],[20303, 20301])).
% 25.71/17.02 tff(20305,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB167, constB168)) | (~v95(constB168)) | (~v104(constB168)) | v94(constB168))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20306,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB167, constB168)) | v94(constB168) | (~v95(constB168)) | (~v104(constB168))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20305, 20304])).
% 25.71/17.02 tff(20307,plain,
% 25.71/17.02 (v94(constB168) | (~v95(constB168)) | (~v104(constB168))),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20306, 360, 20204])).
% 25.71/17.02 tff(20308,plain,
% 25.71/17.02 (v94(constB168) | (~v104(constB168))),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20307, 20300])).
% 25.71/17.02 tff(20309,plain,
% 25.71/17.02 (v94(constB168)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20308, 20286])).
% 25.71/17.02 tff(20310,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB167)) | v124(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB167)) | v124(constB167, bitIndex2))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20311,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB167)) | v124(constB167, bitIndex2))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20312,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB167)) | v124(constB167, bitIndex2)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20311, 20310])).
% 25.71/17.02 tff(20313,plain,
% 25.71/17.02 (v124(constB167, bitIndex2)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20312, 1761, 20158])).
% 25.71/17.02 tff(20314,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB167) | (~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB167) | (~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20315,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB167) | (~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20316,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB167) | (~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20315, 20314])).
% 25.71/17.02 tff(20317,plain,
% 25.71/17.02 ((~v124(constB167, bitIndex2)) | v121(constB167, bitIndex2)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20316, 1287, 20263])).
% 25.71/17.02 tff(20318,plain,
% 25.71/17.02 (v121(constB167, bitIndex2)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20317, 20313])).
% 25.71/17.02 tff(20319,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20320,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20321,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20320, 20319])).
% 25.71/17.02 tff(20322,plain,
% 25.71/17.02 ((~v121(constB167, bitIndex2)) | v123(constB168, bitIndex2)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20321, 1302, 20204])).
% 25.71/17.02 tff(20323,plain,
% 25.71/17.02 (v123(constB168, bitIndex2)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20322, 20318])).
% 25.71/17.02 tff(20324,plain,
% 25.71/17.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20325,plain,
% 25.71/17.02 ((v84(constB168, bitIndex2) | (~v94(constB168)) | (~v123(constB168, bitIndex2))) <=> (v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20326,plain,
% 25.71/17.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v94(constB168)) | (~v123(constB168, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168))))),
% 25.71/17.02 inference(monotonicity,[status(thm)],[20325])).
% 25.71/17.02 tff(20327,plain,
% 25.71/17.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v94(constB168)) | (~v123(constB168, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168)))),
% 25.71/17.02 inference(transitivity,[status(thm)],[20326, 20324])).
% 25.71/17.02 tff(20328,plain,
% 25.71/17.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB168, bitIndex2) | (~v94(constB168)) | (~v123(constB168, bitIndex2)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20329,plain,
% 25.71/17.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2)) | (~v94(constB168))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20328, 20327])).
% 25.71/17.02 tff(20330,plain,
% 25.71/17.02 (v84(constB168, bitIndex2) | (~v94(constB168))),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20329, 1317, 20323])).
% 25.71/17.02 tff(20331,plain,
% 25.71/17.02 (v84(constB168, bitIndex2)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20330, 20309])).
% 25.71/17.02 tff(20332,plain,
% 25.71/17.02 ((~v1(constB169)) <=> (~v1(constB169))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20333,axiom,(~v1(constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_169_1_1')).
% 25.71/17.02 tff(20334,plain,
% 25.71/17.02 (~v1(constB169)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20333, 20332])).
% 25.71/17.02 tff(20335,plain,
% 25.71/17.02 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20336,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_168_1')).
% 25.71/17.02 tff(20337,plain,
% 25.71/17.02 (nextState(constB168, constB169)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20336, 20335])).
% 25.71/17.02 tff(20338,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20339,plain,
% 25.71/17.02 (((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169)) <=> (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20340,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169))))),
% 25.71/17.02 inference(monotonicity,[status(thm)],[20339])).
% 25.71/17.02 tff(20341,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169)))),
% 25.71/17.02 inference(transitivity,[status(thm)],[20340, 20338])).
% 25.71/17.02 tff(20342,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB168, constB169)) | (~v95(constB169)) | v1(constB169))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20343,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB169) | (~nextState(constB168, constB169)) | (~v95(constB169))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20342, 20341])).
% 25.71/17.02 tff(20344,plain,
% 25.71/17.02 (~v95(constB169)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20343, 73, 20337, 20334])).
% 25.71/17.02 tff(20345,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20346,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20347,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB168, constB169)) | v95(constB169) | (~v94(constB169))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20346, 20345])).
% 25.71/17.02 tff(20348,plain,
% 25.71/17.02 (v95(constB169) | (~v94(constB169))),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20347, 90, 20337])).
% 25.71/17.02 tff(20349,plain,
% 25.71/17.02 (~v94(constB169)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20348, 20344])).
% 25.71/17.02 tff(20350,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20351,plain,
% 25.71/17.02 (((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2)) <=> ((~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20352,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2)))),
% 25.71/17.02 inference(monotonicity,[status(thm)],[20351])).
% 25.71/17.02 tff(20353,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2))),
% 25.71/17.02 inference(transitivity,[status(thm)],[20352, 20350])).
% 25.71/17.02 tff(20354,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20355,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB168, bitIndex2)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex2)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20354, 20353])).
% 25.71/17.02 tff(20356,plain,
% 25.71/17.02 ((~v84(constB168, bitIndex2)) | v94(constB169) | v84(constB169, bitIndex2)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20355, 1353, 20337])).
% 25.71/17.02 tff(20357,plain,
% 25.71/17.02 ((~v84(constB168, bitIndex2)) | v84(constB169, bitIndex2)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20356, 20349])).
% 25.71/17.02 tff(20358,plain,
% 25.71/17.02 (v84(constB169, bitIndex2)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20357, 20331])).
% 25.71/17.02 tff(20359,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB169)) | (~v84(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB169)) | (~v84(constB169, bitIndex2)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20360,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB169)) | (~v84(constB169, bitIndex2)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20361,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB169)) | (~v84(constB169, bitIndex2))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20360, 20359])).
% 25.71/17.02 tff(20362,plain,
% 25.71/17.02 (~v116(constB169)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20361, 1985, 20358])).
% 25.71/17.02 tff(20363,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB169)) | (~v84(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB169)) | (~v84(constB169, bitIndex2)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20364,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB169)) | (~v84(constB169, bitIndex2)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20365,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB169)) | (~v84(constB169, bitIndex2))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20364, 20363])).
% 25.71/17.02 tff(20366,plain,
% 25.71/17.02 (~v115(constB169)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20365, 1974, 20358])).
% 25.71/17.02 tff(20367,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB167)) | v124(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB167)) | v124(constB167, bitIndex1))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20368,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB167)) | v124(constB167, bitIndex1))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20369,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB167)) | v124(constB167, bitIndex1)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20368, 20367])).
% 25.71/17.02 tff(20370,plain,
% 25.71/17.02 (v124(constB167, bitIndex1)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20369, 1817, 20158])).
% 25.71/17.02 tff(20371,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20372,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20373,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB167) | (~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20372, 20371])).
% 25.71/17.02 tff(20374,plain,
% 25.71/17.02 ((~v124(constB167, bitIndex1)) | v121(constB167, bitIndex1)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20373, 812, 20263])).
% 25.71/17.02 tff(20375,plain,
% 25.71/17.02 (v121(constB167, bitIndex1)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20374, 20370])).
% 25.71/17.02 tff(20376,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20377,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20378,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB167, constB168)) | (~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20377, 20376])).
% 25.71/17.02 tff(20379,plain,
% 25.71/17.02 ((~v121(constB167, bitIndex1)) | v123(constB168, bitIndex1)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20378, 827, 20204])).
% 25.71/17.02 tff(20380,plain,
% 25.71/17.02 (v123(constB168, bitIndex1)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20379, 20375])).
% 25.71/17.02 tff(20381,plain,
% 25.71/17.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20382,plain,
% 25.71/17.02 ((v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1))) <=> (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20383,plain,
% 25.71/17.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168))))),
% 25.71/17.02 inference(monotonicity,[status(thm)],[20382])).
% 25.71/17.02 tff(20384,plain,
% 25.71/17.02 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168)))),
% 25.71/17.02 inference(transitivity,[status(thm)],[20383, 20381])).
% 25.71/17.02 tff(20385,plain,
% 25.71/17.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB168, bitIndex1) | (~v94(constB168)) | (~v123(constB168, bitIndex1)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20386,plain,
% 25.71/17.02 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1)) | (~v94(constB168))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20385, 20384])).
% 25.71/17.02 tff(20387,plain,
% 25.71/17.02 (v84(constB168, bitIndex1) | (~v94(constB168))),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20386, 842, 20380])).
% 25.71/17.02 tff(20388,plain,
% 25.71/17.02 (v84(constB168, bitIndex1)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20387, 20309])).
% 25.71/17.02 tff(20389,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20390,plain,
% 25.71/17.02 (((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1)) <=> ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20391,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1)))),
% 25.71/17.02 inference(monotonicity,[status(thm)],[20390])).
% 25.71/17.02 tff(20392,plain,
% 25.71/17.02 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1))),
% 25.71/17.02 inference(transitivity,[status(thm)],[20391, 20389])).
% 25.71/17.02 tff(20393,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB168, constB169)) | (~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20394,plain,
% 25.71/17.02 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB168, bitIndex1)) | (~nextState(constB168, constB169)) | v94(constB169) | v84(constB169, bitIndex1)),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20393, 20392])).
% 25.71/17.02 tff(20395,plain,
% 25.71/17.02 ((~v84(constB168, bitIndex1)) | v94(constB169) | v84(constB169, bitIndex1)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20394, 860, 20337])).
% 25.71/17.02 tff(20396,plain,
% 25.71/17.02 ((~v84(constB168, bitIndex1)) | v84(constB169, bitIndex1)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20395, 20349])).
% 25.71/17.02 tff(20397,plain,
% 25.71/17.02 (v84(constB169, bitIndex1)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20396, 20388])).
% 25.71/17.02 tff(20398,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB169)) | (~v84(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB169)) | (~v84(constB169, bitIndex1)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20399,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB169)) | (~v84(constB169, bitIndex1)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20400,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB169)) | (~v84(constB169, bitIndex1))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20399, 20398])).
% 25.71/17.02 tff(20401,plain,
% 25.71/17.02 (~v172(constB169)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20400, 2029, 20397])).
% 25.71/17.02 tff(20402,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB169)) | (~v84(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB169)) | (~v84(constB169, bitIndex1)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20403,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB169)) | (~v84(constB169, bitIndex1)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20404,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB169)) | (~v84(constB169, bitIndex1))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20403, 20402])).
% 25.71/17.02 tff(20405,plain,
% 25.71/17.02 (~v145(constB169)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20404, 2018, 20397])).
% 25.71/17.02 tff(20406,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB169)) | (~v84(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB169)) | (~v84(constB169, bitIndex1)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20407,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB169)) | (~v84(constB169, bitIndex1)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20408,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB169)) | (~v84(constB169, bitIndex1))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20407, 20406])).
% 25.71/17.02 tff(20409,plain,
% 25.71/17.02 (~v113(constB169)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20408, 1996, 20397])).
% 25.71/17.02 tff(20410,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB169)) | (~v84(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB169)) | (~v84(constB169, bitIndex1)))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20411,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB169)) | (~v84(constB169, bitIndex1)))),
% 25.71/17.02 inference(quant_inst,[status(thm)],[])).
% 25.71/17.02 tff(20412,plain,
% 25.71/17.02 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB169)) | (~v84(constB169, bitIndex1))),
% 25.71/17.02 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 25.71/17.02 tff(20413,plain,
% 25.71/17.02 (~v118(constB169)),
% 25.71/17.02 inference(unit_resolution,[status(thm)],[20412, 2007, 20397])).
% 25.71/17.02 tff(20414,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex2)) | v145(constB169))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex2)) | v145(constB169))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20415,plain,
% 25.71/17.02 ((v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex2))) <=> (v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex2)) | v145(constB169))),
% 25.71/17.02 inference(rewrite,[status(thm)],[])).
% 25.71/17.02 tff(20416,plain,
% 25.71/17.02 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex2)) | v145(constB169)))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20415])).
% 25.71/17.03 tff(20417,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex2)) | v145(constB169))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20416, 20414])).
% 25.71/17.03 tff(20418,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex2)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20419,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex2)) | v145(constB169)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20418, 20417])).
% 25.71/17.03 tff(20420,plain,
% 25.71/17.03 (~v124(constB169, bitIndex2)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20419, 2043, 20413, 20409, 20405, 20401, 20366, 20362])).
% 25.71/17.03 tff(20421,assumption,(v121(constB169, bitIndex2)), introduced(assumption)).
% 25.71/17.03 tff(20422,assumption,(~v124(constB169, bitIndex2)), introduced(assumption)).
% 25.71/17.03 tff(20423,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20424,plain,
% 25.71/17.03 ((v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2))) <=> ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20425,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2)))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20424])).
% 25.71/17.03 tff(20426,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20425, 20423])).
% 25.71/17.03 tff(20427,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB169) | v124(constB169, bitIndex2) | (~v121(constB169, bitIndex2)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20428,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB169, bitIndex2)) | v26(constB169) | v124(constB169, bitIndex2)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20427, 20426])).
% 25.71/17.03 tff(20429,plain,
% 25.71/17.03 ((~v121(constB169, bitIndex2)) | v26(constB169)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20428, 390, 20422])).
% 25.71/17.03 tff(20430,plain,
% 25.71/17.03 (v26(constB169)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20429, 20421])).
% 25.71/17.03 tff(20431,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB169)) | (~v121(constB169, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB169)) | (~v121(constB169, bitIndex2)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20432,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | ((~v26(constB169)) | (~v121(constB169, bitIndex2)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20433,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex2)))) | (~v26(constB169)) | (~v121(constB169, bitIndex2))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20432, 20431])).
% 25.71/17.03 tff(20434,plain,
% 25.71/17.03 ($false),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20433, 2292, 20421, 20430])).
% 25.71/17.03 tff(20435,plain,((~v121(constB169, bitIndex2)) | v124(constB169, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.03 tff(20436,plain,
% 25.71/17.03 (~v121(constB169, bitIndex2)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20435, 20420])).
% 25.71/17.03 tff(20437,plain,
% 25.71/17.03 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20438,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_169_1')).
% 25.71/17.03 tff(20439,plain,
% 25.71/17.03 (nextState(constB169, constB170)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20438, 20437])).
% 25.71/17.03 tff(20440,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20441,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20442,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20441, 20440])).
% 25.71/17.03 tff(20443,plain,
% 25.71/17.03 (v121(constB169, bitIndex2) | (~v123(constB170, bitIndex2))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20442, 408, 20439])).
% 25.71/17.03 tff(20444,plain,
% 25.71/17.03 (~v123(constB170, bitIndex2)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20443, 20436])).
% 25.71/17.03 tff(20445,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB167)) | (~v124(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB167)) | (~v124(constB167, bitIndex0)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20446,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB167)) | (~v124(constB167, bitIndex0)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20447,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB167)) | (~v124(constB167, bitIndex0))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20446, 20445])).
% 25.71/17.03 tff(20448,plain,
% 25.71/17.03 (~v124(constB167, bitIndex0)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20447, 1855, 20158])).
% 25.71/17.03 tff(20449,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20450,plain,
% 25.71/17.03 ((v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0))) <=> ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20451,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0)))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20450])).
% 25.71/17.03 tff(20452,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20451, 20449])).
% 25.71/17.03 tff(20453,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB167) | v124(constB167, bitIndex0) | (~v121(constB167, bitIndex0)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20454,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB167, bitIndex0)) | v26(constB167) | v124(constB167, bitIndex0)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20453, 20452])).
% 25.71/17.03 tff(20455,plain,
% 25.71/17.03 ((~v121(constB167, bitIndex0)) | v124(constB167, bitIndex0)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20454, 890, 20263])).
% 25.71/17.03 tff(20456,plain,
% 25.71/17.03 (~v121(constB167, bitIndex0)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20455, 20448])).
% 25.71/17.03 tff(20457,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20458,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20459,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB167, constB168)) | v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20458, 20457])).
% 25.71/17.03 tff(20460,plain,
% 25.71/17.03 (v121(constB167, bitIndex0) | (~v123(constB168, bitIndex0))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20459, 908, 20204])).
% 25.71/17.03 tff(20461,plain,
% 25.71/17.03 (~v123(constB168, bitIndex0)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20460, 20456])).
% 25.71/17.03 tff(20462,plain,
% 25.71/17.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20463,plain,
% 25.71/17.03 (((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0)) <=> ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20464,plain,
% 25.71/17.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168))))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20463])).
% 25.71/17.03 tff(20465,plain,
% 25.71/17.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168)))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20464, 20462])).
% 25.71/17.03 tff(20466,plain,
% 25.71/17.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB168, bitIndex0)) | (~v94(constB168)) | v123(constB168, bitIndex0))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20467,plain,
% 25.71/17.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0) | (~v94(constB168))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20466, 20465])).
% 25.71/17.03 tff(20468,plain,
% 25.71/17.03 ((~v84(constB168, bitIndex0)) | (~v94(constB168))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20467, 923, 20461])).
% 25.71/17.03 tff(20469,plain,
% 25.71/17.03 (~v84(constB168, bitIndex0)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20468, 20309])).
% 25.71/17.03 tff(20470,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20471,plain,
% 25.71/17.03 (((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0))) <=> (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20472,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0))))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20471])).
% 25.71/17.03 tff(20473,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20472, 20470])).
% 25.71/17.03 tff(20474,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB168, constB169)) | v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20475,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB168, bitIndex0) | (~nextState(constB168, constB169)) | v94(constB169) | (~v84(constB169, bitIndex0))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20474, 20473])).
% 25.71/17.03 tff(20476,plain,
% 25.71/17.03 (v84(constB168, bitIndex0) | v94(constB169) | (~v84(constB169, bitIndex0))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20475, 147, 20337])).
% 25.71/17.03 tff(20477,plain,
% 25.71/17.03 (v84(constB168, bitIndex0) | (~v84(constB169, bitIndex0))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20476, 20349])).
% 25.71/17.03 tff(20478,plain,
% 25.71/17.03 (~v84(constB169, bitIndex0)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20477, 20469])).
% 25.71/17.03 tff(20479,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)) | v119(constB169))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)) | v119(constB169))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20480,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)) | v119(constB169))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20481,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)) | v119(constB169)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 25.71/17.03 tff(20482,plain,
% 25.71/17.03 (v119(constB169)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20481, 1899, 20478, 20397, 20358])).
% 25.71/17.03 tff(20483,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB169)) | v107(constB169))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB169)) | v107(constB169))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20484,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB169)) | v107(constB169))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20485,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB169)) | v107(constB169)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20484, 20483])).
% 25.71/17.03 tff(20486,plain,
% 25.71/17.03 (v107(constB169)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20485, 1910, 20482])).
% 25.71/17.03 tff(20487,assumption,(~v102(constB169)), introduced(assumption)).
% 25.71/17.03 tff(20488,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB169) | (~v106(constB169)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v106(constB169)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20489,plain,
% 25.71/17.03 (((~v106(constB169)) | v102(constB169)) <=> (v102(constB169) | (~v106(constB169)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20490,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB169)) | v102(constB169))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB169) | (~v106(constB169))))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20489])).
% 25.71/17.03 tff(20491,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB169)) | v102(constB169))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v106(constB169)))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20490, 20488])).
% 25.71/17.03 tff(20492,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB169)) | v102(constB169))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20493,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v106(constB169))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20492, 20491])).
% 25.71/17.03 tff(20494,plain,
% 25.71/17.03 (~v106(constB169)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20493, 275, 20487])).
% 25.71/17.03 tff(20495,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB169) | (~v26(constB169)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v26(constB169)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20496,plain,
% 25.71/17.03 (((~v26(constB169)) | v102(constB169)) <=> (v102(constB169) | (~v26(constB169)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20497,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB169)) | v102(constB169))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB169) | (~v26(constB169))))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20496])).
% 25.71/17.03 tff(20498,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB169)) | v102(constB169))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v26(constB169)))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20497, 20495])).
% 25.71/17.03 tff(20499,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB169)) | v102(constB169))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20500,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB169) | (~v26(constB169))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20499, 20498])).
% 25.71/17.03 tff(20501,plain,
% 25.71/17.03 (~v26(constB169)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20500, 660, 20487])).
% 25.71/17.03 tff(20502,assumption,(v107(constB169)), introduced(assumption)).
% 25.71/17.03 tff(20503,plain,
% 25.71/17.03 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB169) | (~v107(constB169)) | v106(constB169))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB169) | (~v107(constB169)) | v106(constB169))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20504,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB169) | (~v107(constB169)) | v106(constB169))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20505,plain,
% 25.71/17.03 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB169) | (~v107(constB169)) | v106(constB169)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20504, 20503])).
% 25.71/17.03 tff(20506,plain,
% 25.71/17.03 (v26(constB169) | v106(constB169)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20505, 263, 20502])).
% 25.71/17.03 tff(20507,plain,
% 25.71/17.03 ($false),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20506, 20501, 20494])).
% 25.71/17.03 tff(20508,plain,(v102(constB169) | (~v107(constB169))), inference(lemma,lemma(discharge,[]))).
% 25.71/17.03 tff(20509,plain,
% 25.71/17.03 (v102(constB169)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20508, 20486])).
% 25.71/17.03 tff(20510,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20511,plain,
% 25.71/17.03 (((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170)) <=> ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20512,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169))))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20511])).
% 25.71/17.03 tff(20513,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169)))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20512, 20510])).
% 25.71/17.03 tff(20514,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB169, constB170)) | (~v102(constB169)) | v104(constB170))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20515,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB169, constB170)) | v104(constB170) | (~v102(constB169))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20514, 20513])).
% 25.71/17.03 tff(20516,plain,
% 25.71/17.03 (v104(constB170) | (~v102(constB169))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20515, 295, 20439])).
% 25.71/17.03 tff(20517,plain,
% 25.71/17.03 (v104(constB170)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20516, 20509])).
% 25.71/17.03 tff(20518,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20519,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20520,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB169) | (~nextState(constB169, constB170)) | (~v98(constB170))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20519, 20518])).
% 25.71/17.03 tff(20521,plain,
% 25.71/17.03 (~v98(constB170)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20520, 313, 20439, 20334])).
% 25.71/17.03 tff(20522,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20523,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB169, constB170)) | v96(constB170) | v98(constB170))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20524,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB169, constB170)) | v96(constB170) | v98(constB170)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20523, 20522])).
% 25.71/17.03 tff(20525,plain,
% 25.71/17.03 (v96(constB170) | v98(constB170)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20524, 327, 20439])).
% 25.71/17.03 tff(20526,plain,
% 25.71/17.03 (v96(constB170)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20525, 20521])).
% 25.71/17.03 tff(20527,plain,
% 25.71/17.03 (v1(constB170) <=> v1(constB170)),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20528,axiom,(v1(constB170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_170_1')).
% 25.71/17.03 tff(20529,plain,
% 25.71/17.03 (v1(constB170)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20528, 20527])).
% 25.71/17.03 tff(20530,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20531,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20532,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB169, constB170)) | v95(constB170) | (~v96(constB170)) | (~v1(constB170))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20531, 20530])).
% 25.71/17.03 tff(20533,plain,
% 25.71/17.03 (v95(constB170) | (~v96(constB170))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20532, 345, 20439, 20529])).
% 25.71/17.03 tff(20534,plain,
% 25.71/17.03 (v95(constB170)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20533, 20526])).
% 25.71/17.03 tff(20535,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20536,plain,
% 25.71/17.03 (((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170)) <=> ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20537,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170))))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20536])).
% 25.71/17.03 tff(20538,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170)))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20537, 20535])).
% 25.71/17.03 tff(20539,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB169, constB170)) | (~v95(constB170)) | (~v104(constB170)) | v94(constB170))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20540,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB169, constB170)) | v94(constB170) | (~v95(constB170)) | (~v104(constB170))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20539, 20538])).
% 25.71/17.03 tff(20541,plain,
% 25.71/17.03 (v94(constB170) | (~v95(constB170)) | (~v104(constB170))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20540, 360, 20439])).
% 25.71/17.03 tff(20542,plain,
% 25.71/17.03 (v94(constB170) | (~v104(constB170))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20541, 20534])).
% 25.71/17.03 tff(20543,plain,
% 25.71/17.03 (v94(constB170)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20542, 20517])).
% 25.71/17.03 tff(20544,plain,
% 25.71/17.03 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20545,plain,
% 25.71/17.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20546,plain,
% 25.71/17.03 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2) | (~v94(constB170))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20545, 20544])).
% 25.71/17.03 tff(20547,plain,
% 25.71/17.03 (~v84(constB170, bitIndex2)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20546, 423, 20543, 20444])).
% 25.71/17.03 tff(20548,plain,
% 25.71/17.03 ((~v1(constB171)) <=> (~v1(constB171))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20549,axiom,(~v1(constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_171_1_1')).
% 25.71/17.03 tff(20550,plain,
% 25.71/17.03 (~v1(constB171)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20549, 20548])).
% 25.71/17.03 tff(20551,plain,
% 25.71/17.03 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20552,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_170_1')).
% 25.71/17.03 tff(20553,plain,
% 25.71/17.03 (nextState(constB170, constB171)),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20552, 20551])).
% 25.71/17.03 tff(20554,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20555,plain,
% 25.71/17.03 (((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171)) <=> (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20556,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171))))),
% 25.71/17.03 inference(monotonicity,[status(thm)],[20555])).
% 25.71/17.03 tff(20557,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171)))),
% 25.71/17.03 inference(transitivity,[status(thm)],[20556, 20554])).
% 25.71/17.03 tff(20558,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB170, constB171)) | (~v95(constB171)) | v1(constB171))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20559,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB171) | (~nextState(constB170, constB171)) | (~v95(constB171))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20558, 20557])).
% 25.71/17.03 tff(20560,plain,
% 25.71/17.03 (~v95(constB171)),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20559, 73, 20553, 20550])).
% 25.71/17.03 tff(20561,plain,
% 25.71/17.03 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))),
% 25.71/17.03 inference(rewrite,[status(thm)],[])).
% 25.71/17.03 tff(20562,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171)))),
% 25.71/17.03 inference(quant_inst,[status(thm)],[])).
% 25.71/17.03 tff(20563,plain,
% 25.71/17.03 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB170, constB171)) | v95(constB171) | (~v94(constB171))),
% 25.71/17.03 inference(modus_ponens,[status(thm)],[20562, 20561])).
% 25.71/17.03 tff(20564,plain,
% 25.71/17.03 (v95(constB171) | (~v94(constB171))),
% 25.71/17.03 inference(unit_resolution,[status(thm)],[20563, 90, 20553])).
% 25.71/17.04 tff(20565,plain,
% 25.71/17.04 (~v94(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20564, 20560])).
% 25.71/17.04 tff(20566,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20567,plain,
% 25.71/17.04 (((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2))) <=> (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20568,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2))))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20567])).
% 25.71/17.04 tff(20569,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20568, 20566])).
% 25.71/17.04 tff(20570,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2)))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20571,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB170, bitIndex2) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex2))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20570, 20569])).
% 25.71/17.04 tff(20572,plain,
% 25.71/17.04 (v84(constB170, bitIndex2) | v94(constB171) | (~v84(constB171, bitIndex2))),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20571, 105, 20553])).
% 25.71/17.04 tff(20573,plain,
% 25.71/17.04 (v84(constB170, bitIndex2) | (~v84(constB171, bitIndex2))),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20572, 20565])).
% 25.71/17.04 tff(20574,plain,
% 25.71/17.04 (~v84(constB171, bitIndex2)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20573, 20547])).
% 25.71/17.04 tff(20575,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex1)) | v145(constB169))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex1)) | v145(constB169))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20576,plain,
% 25.71/17.04 ((v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex1))) <=> (v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex1)) | v145(constB169))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20577,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex1)) | v145(constB169)))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20576])).
% 25.71/17.04 tff(20578,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex1)) | v145(constB169))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20577, 20575])).
% 25.71/17.04 tff(20579,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | (~v124(constB169, bitIndex1)))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20580,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | (~v124(constB169, bitIndex1)) | v145(constB169)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20579, 20578])).
% 25.71/17.04 tff(20581,plain,
% 25.71/17.04 (~v124(constB169, bitIndex1)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20580, 2105, 20413, 20409, 20405, 20401, 20366, 20362])).
% 25.71/17.04 tff(20582,assumption,(v26(constB169)), introduced(assumption)).
% 25.71/17.04 tff(20583,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB169))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20584,plain,
% 25.71/17.04 ($false),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20583, 18, 20582])).
% 25.71/17.04 tff(20585,plain,(~v26(constB169)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.04 tff(20586,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20587,plain,
% 25.71/17.04 ((v26(constB169) | v124(constB169, bitIndex1) | (~v121(constB169, bitIndex1))) <=> ((~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20588,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB169) | v124(constB169, bitIndex1) | (~v121(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1)))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20587])).
% 25.71/17.04 tff(20589,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB169) | v124(constB169, bitIndex1) | (~v121(constB169, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20588, 20586])).
% 25.71/17.04 tff(20590,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB169) | v124(constB169, bitIndex1) | (~v121(constB169, bitIndex1)))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20591,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB169, bitIndex1)) | v26(constB169) | v124(constB169, bitIndex1)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20590, 20589])).
% 25.71/17.04 tff(20592,plain,
% 25.71/17.04 ((~v121(constB169, bitIndex1)) | v124(constB169, bitIndex1)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20591, 476, 20585])).
% 25.71/17.04 tff(20593,plain,
% 25.71/17.04 (~v121(constB169, bitIndex1)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20592, 20581])).
% 25.71/17.04 tff(20594,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20595,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1)))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20596,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20595, 20594])).
% 25.71/17.04 tff(20597,plain,
% 25.71/17.04 (v121(constB169, bitIndex1) | (~v123(constB170, bitIndex1))),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20596, 494, 20439])).
% 25.71/17.04 tff(20598,plain,
% 25.71/17.04 (~v123(constB170, bitIndex1)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20597, 20593])).
% 25.71/17.04 tff(20599,plain,
% 25.71/17.04 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20600,plain,
% 25.71/17.04 (((~v84(constB170, bitIndex1)) | (~v94(constB170)) | v123(constB170, bitIndex1)) <=> ((~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20601,plain,
% 25.71/17.04 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~v94(constB170)) | v123(constB170, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170))))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20600])).
% 25.71/17.04 tff(20602,plain,
% 25.71/17.04 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~v94(constB170)) | v123(constB170, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170)))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20601, 20599])).
% 25.71/17.04 tff(20603,plain,
% 25.71/17.04 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB170, bitIndex1)) | (~v94(constB170)) | v123(constB170, bitIndex1))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20604,plain,
% 25.71/17.04 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1) | (~v94(constB170))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20603, 20602])).
% 25.71/17.04 tff(20605,plain,
% 25.71/17.04 (~v84(constB170, bitIndex1)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20604, 509, 20543, 20598])).
% 25.71/17.04 tff(20606,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20607,plain,
% 25.71/17.04 (((~nextState(constB170, constB171)) | v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1))) <=> (v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20608,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1))))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20607])).
% 25.71/17.04 tff(20609,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1)))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20608, 20606])).
% 25.71/17.04 tff(20610,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1)))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20611,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB170, bitIndex1) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex1))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20610, 20609])).
% 25.71/17.04 tff(20612,plain,
% 25.71/17.04 (v84(constB170, bitIndex1) | v94(constB171) | (~v84(constB171, bitIndex1))),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20611, 126, 20553])).
% 25.71/17.04 tff(20613,plain,
% 25.71/17.04 (v84(constB170, bitIndex1) | (~v84(constB171, bitIndex1))),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20612, 20565])).
% 25.71/17.04 tff(20614,plain,
% 25.71/17.04 (~v84(constB171, bitIndex1)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20613, 20605])).
% 25.71/17.04 tff(20615,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v124(constB169, bitIndex0) | v145(constB169))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v124(constB169, bitIndex0) | v145(constB169))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20616,plain,
% 25.71/17.04 ((v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | v124(constB169, bitIndex0)) <=> (v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v124(constB169, bitIndex0) | v145(constB169))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20617,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | v124(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v124(constB169, bitIndex0) | v145(constB169)))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20616])).
% 25.71/17.04 tff(20618,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | v124(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v124(constB169, bitIndex0) | v145(constB169))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20617, 20615])).
% 25.71/17.04 tff(20619,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB169) | v145(constB169) | v115(constB169) | v116(constB169) | v172(constB169) | v118(constB169) | v124(constB169, bitIndex0))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20620,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v115(constB169) | v113(constB169) | v172(constB169) | v118(constB169) | v116(constB169) | v124(constB169, bitIndex0) | v145(constB169)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20619, 20618])).
% 25.71/17.04 tff(20621,plain,
% 25.71/17.04 (v124(constB169, bitIndex0)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20620, 2152, 20413, 20409, 20405, 20401, 20366, 20362])).
% 25.71/17.04 tff(20622,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20623,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20624,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB169) | (~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20623, 20622])).
% 25.71/17.04 tff(20625,plain,
% 25.71/17.04 ((~v124(constB169, bitIndex0)) | v121(constB169, bitIndex0)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20624, 547, 20585])).
% 25.71/17.04 tff(20626,plain,
% 25.71/17.04 (v121(constB169, bitIndex0)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20625, 20621])).
% 25.71/17.04 tff(20627,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20628,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20629,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB169, constB170)) | (~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20628, 20627])).
% 25.71/17.04 tff(20630,plain,
% 25.71/17.04 ((~v121(constB169, bitIndex0)) | v123(constB170, bitIndex0)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20629, 562, 20439])).
% 25.71/17.04 tff(20631,plain,
% 25.71/17.04 (v123(constB170, bitIndex0)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20630, 20626])).
% 25.71/17.04 tff(20632,plain,
% 25.71/17.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20633,plain,
% 25.71/17.04 ((v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0))) <=> (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20634,plain,
% 25.71/17.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170))))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20633])).
% 25.71/17.04 tff(20635,plain,
% 25.71/17.04 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170)))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20634, 20632])).
% 25.71/17.04 tff(20636,plain,
% 25.71/17.04 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~v94(constB170)) | (~v123(constB170, bitIndex0)))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20637,plain,
% 25.71/17.04 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0)) | (~v94(constB170))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20636, 20635])).
% 25.71/17.04 tff(20638,plain,
% 25.71/17.04 (v84(constB170, bitIndex0)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20637, 577, 20543, 20631])).
% 25.71/17.04 tff(20639,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20640,plain,
% 25.71/17.04 (((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0)) <=> ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20641,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0)))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20640])).
% 25.71/17.04 tff(20642,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20641, 20639])).
% 25.71/17.04 tff(20643,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB170, constB171)) | (~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20644,plain,
% 25.71/17.04 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | (~nextState(constB170, constB171)) | v94(constB171) | v84(constB171, bitIndex0)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20643, 20642])).
% 25.71/17.04 tff(20645,plain,
% 25.71/17.04 ((~v84(constB170, bitIndex0)) | v94(constB171) | v84(constB171, bitIndex0)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20644, 595, 20553])).
% 25.71/17.04 tff(20646,plain,
% 25.71/17.04 ((~v84(constB170, bitIndex0)) | v84(constB171, bitIndex0)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20645, 20565])).
% 25.71/17.04 tff(20647,plain,
% 25.71/17.04 (v84(constB171, bitIndex0)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20646, 20638])).
% 25.71/17.04 tff(20648,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB171, bitIndex0)) | v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | v145(constB171))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB171, bitIndex0)) | v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | v145(constB171))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20649,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB171, bitIndex0)) | v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | v145(constB171))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20650,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB171, bitIndex0)) | v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | v145(constB171)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20649, 20648])).
% 25.71/17.04 tff(20651,plain,
% 25.71/17.04 (v145(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20650, 614, 20647, 20614, 20574])).
% 25.71/17.04 tff(20652,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB171) | (~v145(constB171)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB171) | (~v145(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20653,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB171) | (~v145(constB171)))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20654,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB171) | (~v145(constB171))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20653, 20652])).
% 25.71/17.04 tff(20655,plain,
% 25.71/17.04 (v112(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20654, 677, 20651])).
% 25.71/17.04 tff(20656,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB171) | (~v112(constB171)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB171) | (~v112(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20657,plain,
% 25.71/17.04 (((~v112(constB171)) | v111(constB171)) <=> (v111(constB171) | (~v112(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20658,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB171)) | v111(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB171) | (~v112(constB171))))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20657])).
% 25.71/17.04 tff(20659,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB171)) | v111(constB171))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB171) | (~v112(constB171)))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20658, 20656])).
% 25.71/17.04 tff(20660,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB171)) | v111(constB171))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20661,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB171) | (~v112(constB171))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20660, 20659])).
% 25.71/17.04 tff(20662,plain,
% 25.71/17.04 (v111(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20661, 193, 20655])).
% 25.71/17.04 tff(20663,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB171) | (~v111(constB171)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB171) | (~v111(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20664,plain,
% 25.71/17.04 (((~v111(constB171)) | v110(constB171)) <=> (v110(constB171) | (~v111(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20665,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB171)) | v110(constB171))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB171) | (~v111(constB171))))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20664])).
% 25.71/17.04 tff(20666,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB171)) | v110(constB171))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB171) | (~v111(constB171)))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20665, 20663])).
% 25.71/17.04 tff(20667,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB171)) | v110(constB171))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20668,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB171) | (~v111(constB171))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20667, 20666])).
% 25.71/17.04 tff(20669,plain,
% 25.71/17.04 (v110(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20668, 207, 20662])).
% 25.71/17.04 tff(20670,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB171) | (~v110(constB171)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB171) | (~v110(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20671,plain,
% 25.71/17.04 (((~v110(constB171)) | v109(constB171)) <=> (v109(constB171) | (~v110(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20672,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB171)) | v109(constB171))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB171) | (~v110(constB171))))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20671])).
% 25.71/17.04 tff(20673,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB171)) | v109(constB171))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB171) | (~v110(constB171)))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20672, 20670])).
% 25.71/17.04 tff(20674,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB171)) | v109(constB171))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20675,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB171) | (~v110(constB171))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20674, 20673])).
% 25.71/17.04 tff(20676,plain,
% 25.71/17.04 (v109(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20675, 221, 20669])).
% 25.71/17.04 tff(20677,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v109(constB171)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v109(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20678,plain,
% 25.71/17.04 (((~v109(constB171)) | v108(constB171)) <=> (v108(constB171) | (~v109(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20679,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB171) | (~v109(constB171))))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20678])).
% 25.71/17.04 tff(20680,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB171)) | v108(constB171))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v109(constB171)))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20679, 20677])).
% 25.71/17.04 tff(20681,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB171)) | v108(constB171))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20682,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB171) | (~v109(constB171))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20681, 20680])).
% 25.71/17.04 tff(20683,plain,
% 25.71/17.04 (v108(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20682, 235, 20676])).
% 25.71/17.04 tff(20684,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB171)) | v107(constB171))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB171)) | v107(constB171))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20685,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB171)) | v107(constB171))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20686,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB171)) | v107(constB171)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20685, 20684])).
% 25.71/17.04 tff(20687,plain,
% 25.71/17.04 (v107(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20686, 249, 20683])).
% 25.71/17.04 tff(20688,assumption,(v26(constB171)), introduced(assumption)).
% 25.71/17.04 tff(20689,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB171))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20690,plain,
% 25.71/17.04 ($false),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20689, 18, 20688])).
% 25.71/17.04 tff(20691,plain,(~v26(constB171)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.04 tff(20692,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | (~v107(constB171)) | v106(constB171))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB171) | (~v107(constB171)) | v106(constB171))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20693,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB171) | (~v107(constB171)) | v106(constB171))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20694,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB171) | (~v107(constB171)) | v106(constB171)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20693, 20692])).
% 25.71/17.04 tff(20695,plain,
% 25.71/17.04 ((~v107(constB171)) | v106(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20694, 263, 20691])).
% 25.71/17.04 tff(20696,plain,
% 25.71/17.04 (v106(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20695, 20687])).
% 25.71/17.04 tff(20697,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB171) | (~v106(constB171)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB171) | (~v106(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20698,plain,
% 25.71/17.04 (((~v106(constB171)) | v102(constB171)) <=> (v102(constB171) | (~v106(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20699,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB171)) | v102(constB171))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB171) | (~v106(constB171))))),
% 25.71/17.04 inference(monotonicity,[status(thm)],[20698])).
% 25.71/17.04 tff(20700,plain,
% 25.71/17.04 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB171)) | v102(constB171))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB171) | (~v106(constB171)))),
% 25.71/17.04 inference(transitivity,[status(thm)],[20699, 20697])).
% 25.71/17.04 tff(20701,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB171)) | v102(constB171))),
% 25.71/17.04 inference(quant_inst,[status(thm)],[])).
% 25.71/17.04 tff(20702,plain,
% 25.71/17.04 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB171) | (~v106(constB171))),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20701, 20700])).
% 25.71/17.04 tff(20703,plain,
% 25.71/17.04 (v102(constB171)),
% 25.71/17.04 inference(unit_resolution,[status(thm)],[20702, 275, 20696])).
% 25.71/17.04 tff(20704,plain,
% 25.71/17.04 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.04 tff(20705,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_171_1')).
% 25.71/17.04 tff(20706,plain,
% 25.71/17.04 (nextState(constB171, constB172)),
% 25.71/17.04 inference(modus_ponens,[status(thm)],[20705, 20704])).
% 25.71/17.04 tff(20707,plain,
% 25.71/17.04 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 25.71/17.04 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20708,plain,
% 25.71/17.05 (((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172)) <=> ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20709,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171))))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20708])).
% 25.71/17.05 tff(20710,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171)))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20709, 20707])).
% 25.71/17.05 tff(20711,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB171, constB172)) | (~v102(constB171)) | v104(constB172))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20712,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB171, constB172)) | v104(constB172) | (~v102(constB171))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20711, 20710])).
% 25.71/17.05 tff(20713,plain,
% 25.71/17.05 (v104(constB172) | (~v102(constB171))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20712, 295, 20706])).
% 25.71/17.05 tff(20714,plain,
% 25.71/17.05 (v104(constB172)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20713, 20703])).
% 25.71/17.05 tff(20715,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20716,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20717,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB171) | (~nextState(constB171, constB172)) | (~v98(constB172))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20716, 20715])).
% 25.71/17.05 tff(20718,plain,
% 25.71/17.05 (~v98(constB172)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20717, 313, 20706, 20550])).
% 25.71/17.05 tff(20719,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20720,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB171, constB172)) | v96(constB172) | v98(constB172))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20721,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB171, constB172)) | v96(constB172) | v98(constB172)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20720, 20719])).
% 25.71/17.05 tff(20722,plain,
% 25.71/17.05 (v96(constB172) | v98(constB172)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20721, 327, 20706])).
% 25.71/17.05 tff(20723,plain,
% 25.71/17.05 (v96(constB172)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20722, 20718])).
% 25.71/17.05 tff(20724,plain,
% 25.71/17.05 (v1(constB172) <=> v1(constB172)),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20725,axiom,(v1(constB172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_172_1')).
% 25.71/17.05 tff(20726,plain,
% 25.71/17.05 (v1(constB172)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20725, 20724])).
% 25.71/17.05 tff(20727,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20728,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20729,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB171, constB172)) | v95(constB172) | (~v96(constB172)) | (~v1(constB172))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20728, 20727])).
% 25.71/17.05 tff(20730,plain,
% 25.71/17.05 (v95(constB172) | (~v96(constB172))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20729, 345, 20706, 20726])).
% 25.71/17.05 tff(20731,plain,
% 25.71/17.05 (v95(constB172)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20730, 20723])).
% 25.71/17.05 tff(20732,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20733,plain,
% 25.71/17.05 (((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172)) <=> ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20734,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172))))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20733])).
% 25.71/17.05 tff(20735,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172)))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20734, 20732])).
% 25.71/17.05 tff(20736,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB171, constB172)) | (~v95(constB172)) | (~v104(constB172)) | v94(constB172))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20737,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB171, constB172)) | v94(constB172) | (~v95(constB172)) | (~v104(constB172))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20736, 20735])).
% 25.71/17.05 tff(20738,plain,
% 25.71/17.05 (v94(constB172) | (~v95(constB172)) | (~v104(constB172))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20737, 360, 20706])).
% 25.71/17.05 tff(20739,plain,
% 25.71/17.05 (v94(constB172) | (~v104(constB172))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20738, 20731])).
% 25.71/17.05 tff(20740,plain,
% 25.71/17.05 (v94(constB172)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20739, 20714])).
% 25.71/17.05 tff(20741,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB171)) | (~v124(constB171, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB171)) | (~v124(constB171, bitIndex2)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20742,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB171)) | (~v124(constB171, bitIndex2)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20743,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB171)) | (~v124(constB171, bitIndex2))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20742, 20741])).
% 25.71/17.05 tff(20744,plain,
% 25.71/17.05 (~v124(constB171, bitIndex2)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20743, 625, 20651])).
% 25.71/17.05 tff(20745,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20746,plain,
% 25.71/17.05 ((v26(constB171) | v124(constB171, bitIndex2) | (~v121(constB171, bitIndex2))) <=> ((~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20747,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB171) | v124(constB171, bitIndex2) | (~v121(constB171, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2)))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20746])).
% 25.71/17.05 tff(20748,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB171) | v124(constB171, bitIndex2) | (~v121(constB171, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20747, 20745])).
% 25.71/17.05 tff(20749,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB171) | v124(constB171, bitIndex2) | (~v121(constB171, bitIndex2)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20750,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB171, bitIndex2)) | v26(constB171) | v124(constB171, bitIndex2)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20749, 20748])).
% 25.71/17.05 tff(20751,plain,
% 25.71/17.05 ((~v121(constB171, bitIndex2)) | v124(constB171, bitIndex2)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20750, 390, 20691])).
% 25.71/17.05 tff(20752,plain,
% 25.71/17.05 (~v121(constB171, bitIndex2)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20751, 20744])).
% 25.71/17.05 tff(20753,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20754,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20755,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20754, 20753])).
% 25.71/17.05 tff(20756,plain,
% 25.71/17.05 (v121(constB171, bitIndex2) | (~v123(constB172, bitIndex2))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20755, 408, 20706])).
% 25.71/17.05 tff(20757,plain,
% 25.71/17.05 (~v123(constB172, bitIndex2)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20756, 20752])).
% 25.71/17.05 tff(20758,plain,
% 25.71/17.05 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20759,plain,
% 25.71/17.05 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20760,plain,
% 25.71/17.05 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2) | (~v94(constB172))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20759, 20758])).
% 25.71/17.05 tff(20761,plain,
% 25.71/17.05 ((~v84(constB172, bitIndex2)) | (~v94(constB172))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20760, 423, 20757])).
% 25.71/17.05 tff(20762,plain,
% 25.71/17.05 (~v84(constB172, bitIndex2)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20761, 20740])).
% 25.71/17.05 tff(20763,plain,
% 25.71/17.05 ((~v1(constB173)) <=> (~v1(constB173))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20764,axiom,(~v1(constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_173_1_1')).
% 25.71/17.05 tff(20765,plain,
% 25.71/17.05 (~v1(constB173)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20764, 20763])).
% 25.71/17.05 tff(20766,plain,
% 25.71/17.05 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20767,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_172_1')).
% 25.71/17.05 tff(20768,plain,
% 25.71/17.05 (nextState(constB172, constB173)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20767, 20766])).
% 25.71/17.05 tff(20769,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20770,plain,
% 25.71/17.05 (((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173)) <=> (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20771,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173))))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20770])).
% 25.71/17.05 tff(20772,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173)))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20771, 20769])).
% 25.71/17.05 tff(20773,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB172, constB173)) | (~v95(constB173)) | v1(constB173))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20774,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB173) | (~nextState(constB172, constB173)) | (~v95(constB173))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20773, 20772])).
% 25.71/17.05 tff(20775,plain,
% 25.71/17.05 (~v95(constB173)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20774, 73, 20768, 20765])).
% 25.71/17.05 tff(20776,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20777,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20778,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB172, constB173)) | v95(constB173) | (~v94(constB173))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20777, 20776])).
% 25.71/17.05 tff(20779,plain,
% 25.71/17.05 (v95(constB173) | (~v94(constB173))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20778, 90, 20768])).
% 25.71/17.05 tff(20780,plain,
% 25.71/17.05 (~v94(constB173)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20779, 20775])).
% 25.71/17.05 tff(20781,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20782,plain,
% 25.71/17.05 (((~nextState(constB172, constB173)) | v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2))) <=> (v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20783,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2))))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20782])).
% 25.71/17.05 tff(20784,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2)))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20783, 20781])).
% 25.71/17.05 tff(20785,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20786,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex2))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20785, 20784])).
% 25.71/17.05 tff(20787,plain,
% 25.71/17.05 (v84(constB172, bitIndex2) | v94(constB173) | (~v84(constB173, bitIndex2))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20786, 105, 20768])).
% 25.71/17.05 tff(20788,plain,
% 25.71/17.05 (v84(constB172, bitIndex2) | (~v84(constB173, bitIndex2))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20787, 20780])).
% 25.71/17.05 tff(20789,plain,
% 25.71/17.05 (~v84(constB173, bitIndex2)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20788, 20762])).
% 25.71/17.05 tff(20790,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB171)) | v124(constB171, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB171)) | v124(constB171, bitIndex1))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20791,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB171)) | v124(constB171, bitIndex1))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20792,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB171)) | v124(constB171, bitIndex1)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20791, 20790])).
% 25.71/17.05 tff(20793,plain,
% 25.71/17.05 (v124(constB171, bitIndex1)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20792, 798, 20651])).
% 25.71/17.05 tff(20794,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB171) | (~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB171) | (~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20795,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB171) | (~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20796,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB171) | (~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20795, 20794])).
% 25.71/17.05 tff(20797,plain,
% 25.71/17.05 ((~v124(constB171, bitIndex1)) | v121(constB171, bitIndex1)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20796, 812, 20691])).
% 25.71/17.05 tff(20798,plain,
% 25.71/17.05 (v121(constB171, bitIndex1)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20797, 20793])).
% 25.71/17.05 tff(20799,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20800,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20801,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20800, 20799])).
% 25.71/17.05 tff(20802,plain,
% 25.71/17.05 ((~v121(constB171, bitIndex1)) | v123(constB172, bitIndex1)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20801, 827, 20706])).
% 25.71/17.05 tff(20803,plain,
% 25.71/17.05 (v123(constB172, bitIndex1)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20802, 20798])).
% 25.71/17.05 tff(20804,plain,
% 25.71/17.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20805,plain,
% 25.71/17.05 ((v84(constB172, bitIndex1) | (~v94(constB172)) | (~v123(constB172, bitIndex1))) <=> (v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20806,plain,
% 25.71/17.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v94(constB172)) | (~v123(constB172, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172))))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20805])).
% 25.71/17.05 tff(20807,plain,
% 25.71/17.05 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v94(constB172)) | (~v123(constB172, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172)))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20806, 20804])).
% 25.71/17.05 tff(20808,plain,
% 25.71/17.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~v94(constB172)) | (~v123(constB172, bitIndex1)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20809,plain,
% 25.71/17.05 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1)) | (~v94(constB172))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20808, 20807])).
% 25.71/17.05 tff(20810,plain,
% 25.71/17.05 (v84(constB172, bitIndex1) | (~v94(constB172))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20809, 842, 20803])).
% 25.71/17.05 tff(20811,plain,
% 25.71/17.05 (v84(constB172, bitIndex1)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20810, 20740])).
% 25.71/17.05 tff(20812,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20813,plain,
% 25.71/17.05 (((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1)) <=> ((~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20814,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1)))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20813])).
% 25.71/17.05 tff(20815,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20814, 20812])).
% 25.71/17.05 tff(20816,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20817,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex1)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20816, 20815])).
% 25.71/17.05 tff(20818,plain,
% 25.71/17.05 ((~v84(constB172, bitIndex1)) | v94(constB173) | v84(constB173, bitIndex1)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20817, 860, 20768])).
% 25.71/17.05 tff(20819,plain,
% 25.71/17.05 ((~v84(constB172, bitIndex1)) | v84(constB173, bitIndex1)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20818, 20780])).
% 25.71/17.05 tff(20820,plain,
% 25.71/17.05 (v84(constB173, bitIndex1)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20819, 20811])).
% 25.71/17.05 tff(20821,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB171)) | (~v124(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB171)) | (~v124(constB171, bitIndex0)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20822,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB171)) | (~v124(constB171, bitIndex0)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20823,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB171)) | (~v124(constB171, bitIndex0))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20822, 20821])).
% 25.71/17.05 tff(20824,plain,
% 25.71/17.05 (~v124(constB171, bitIndex0)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20823, 876, 20651])).
% 25.71/17.05 tff(20825,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20826,plain,
% 25.71/17.05 ((v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0))) <=> ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20827,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0)))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20826])).
% 25.71/17.05 tff(20828,plain,
% 25.71/17.05 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20827, 20825])).
% 25.71/17.05 tff(20829,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB171) | v124(constB171, bitIndex0) | (~v121(constB171, bitIndex0)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20830,plain,
% 25.71/17.05 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB171, bitIndex0)) | v26(constB171) | v124(constB171, bitIndex0)),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20829, 20828])).
% 25.71/17.05 tff(20831,plain,
% 25.71/17.05 ((~v121(constB171, bitIndex0)) | v124(constB171, bitIndex0)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20830, 890, 20691])).
% 25.71/17.05 tff(20832,plain,
% 25.71/17.05 (~v121(constB171, bitIndex0)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20831, 20824])).
% 25.71/17.05 tff(20833,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20834,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20835,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 25.71/17.05 tff(20836,plain,
% 25.71/17.05 (v121(constB171, bitIndex0) | (~v123(constB172, bitIndex0))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20835, 908, 20706])).
% 25.71/17.05 tff(20837,plain,
% 25.71/17.05 (~v123(constB172, bitIndex0)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20836, 20832])).
% 25.71/17.05 tff(20838,plain,
% 25.71/17.05 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20839,plain,
% 25.71/17.05 (((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0)) <=> ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20840,plain,
% 25.71/17.05 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172))))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20839])).
% 25.71/17.05 tff(20841,plain,
% 25.71/17.05 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172)))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20840, 20838])).
% 25.71/17.05 tff(20842,plain,
% 25.71/17.05 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB172, bitIndex0)) | (~v94(constB172)) | v123(constB172, bitIndex0))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20843,plain,
% 25.71/17.05 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0) | (~v94(constB172))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20842, 20841])).
% 25.71/17.05 tff(20844,plain,
% 25.71/17.05 ((~v84(constB172, bitIndex0)) | (~v94(constB172))),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20843, 923, 20837])).
% 25.71/17.05 tff(20845,plain,
% 25.71/17.05 (~v84(constB172, bitIndex0)),
% 25.71/17.05 inference(unit_resolution,[status(thm)],[20844, 20740])).
% 25.71/17.05 tff(20846,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20847,plain,
% 25.71/17.05 (((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0))) <=> (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 25.71/17.05 inference(rewrite,[status(thm)],[])).
% 25.71/17.05 tff(20848,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0))))),
% 25.71/17.05 inference(monotonicity,[status(thm)],[20847])).
% 25.71/17.05 tff(20849,plain,
% 25.71/17.05 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 25.71/17.05 inference(transitivity,[status(thm)],[20848, 20846])).
% 25.71/17.05 tff(20850,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0)))),
% 25.71/17.05 inference(quant_inst,[status(thm)],[])).
% 25.71/17.05 tff(20851,plain,
% 25.71/17.05 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB172, bitIndex0) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex0))),
% 25.71/17.05 inference(modus_ponens,[status(thm)],[20850, 20849])).
% 25.71/17.05 tff(20852,plain,
% 25.71/17.05 (v84(constB172, bitIndex0) | v94(constB173) | (~v84(constB173, bitIndex0))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20851, 147, 20768])).
% 25.71/17.06 tff(20853,plain,
% 25.71/17.06 (v84(constB172, bitIndex0) | (~v84(constB173, bitIndex0))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20852, 20780])).
% 25.71/17.06 tff(20854,plain,
% 25.71/17.06 (~v84(constB173, bitIndex0)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20853, 20845])).
% 25.71/17.06 tff(20855,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB173, bitIndex0) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex2) | v115(constB173))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB173, bitIndex0) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex2) | v115(constB173))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20856,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB173, bitIndex0) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex2) | v115(constB173))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20857,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB173, bitIndex0) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex2) | v115(constB173)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20856, 20855])).
% 25.71/17.06 tff(20858,plain,
% 25.71/17.06 (v115(constB173)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20857, 950, 20854, 20820, 20789])).
% 25.71/17.06 tff(20859,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB173)) | v111(constB173))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB173)) | v111(constB173))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20860,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB173)) | v111(constB173))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20861,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB173)) | v111(constB173)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20860, 20859])).
% 25.71/17.06 tff(20862,plain,
% 25.71/17.06 (v111(constB173)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20861, 961, 20858])).
% 25.71/17.06 tff(20863,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB173) | (~v111(constB173)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB173) | (~v111(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20864,plain,
% 25.71/17.06 (((~v111(constB173)) | v110(constB173)) <=> (v110(constB173) | (~v111(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20865,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB173)) | v110(constB173))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB173) | (~v111(constB173))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20864])).
% 25.71/17.06 tff(20866,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB173)) | v110(constB173))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB173) | (~v111(constB173)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20865, 20863])).
% 25.71/17.06 tff(20867,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB173)) | v110(constB173))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20868,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB173) | (~v111(constB173))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20867, 20866])).
% 25.71/17.06 tff(20869,plain,
% 25.71/17.06 (v110(constB173)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20868, 207, 20862])).
% 25.71/17.06 tff(20870,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB173)) | v109(constB173))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB173)) | v109(constB173))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20871,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB173)) | v109(constB173))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20872,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB173)) | v109(constB173)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20871, 20870])).
% 25.71/17.06 tff(20873,plain,
% 25.71/17.06 (v109(constB173)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20872, 221, 20869])).
% 25.71/17.06 tff(20874,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v109(constB173)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v109(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20875,plain,
% 25.71/17.06 (((~v109(constB173)) | v108(constB173)) <=> (v108(constB173) | (~v109(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20876,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB173) | (~v109(constB173))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20875])).
% 25.71/17.06 tff(20877,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB173)) | v108(constB173))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v109(constB173)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20876, 20874])).
% 25.71/17.06 tff(20878,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB173)) | v108(constB173))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20879,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB173) | (~v109(constB173))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20878, 20877])).
% 25.71/17.06 tff(20880,plain,
% 25.71/17.06 (v108(constB173)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20879, 235, 20873])).
% 25.71/17.06 tff(20881,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB173) | (~v108(constB173)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB173) | (~v108(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20882,plain,
% 25.71/17.06 (((~v108(constB173)) | v107(constB173)) <=> (v107(constB173) | (~v108(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20883,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB173)) | v107(constB173))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB173) | (~v108(constB173))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20882])).
% 25.71/17.06 tff(20884,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB173)) | v107(constB173))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB173) | (~v108(constB173)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20883, 20881])).
% 25.71/17.06 tff(20885,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB173)) | v107(constB173))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20886,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB173) | (~v108(constB173))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20885, 20884])).
% 25.71/17.06 tff(20887,plain,
% 25.71/17.06 (v107(constB173)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20886, 249, 20880])).
% 25.71/17.06 tff(20888,assumption,(v26(constB173)), introduced(assumption)).
% 25.71/17.06 tff(20889,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB173))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20890,plain,
% 25.71/17.06 ($false),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20889, 18, 20888])).
% 25.71/17.06 tff(20891,plain,(~v26(constB173)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.06 tff(20892,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | v106(constB173) | (~v107(constB173)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20893,plain,
% 25.71/17.06 ((v26(constB173) | (~v107(constB173)) | v106(constB173)) <=> (v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20894,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | v106(constB173) | (~v107(constB173))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20893])).
% 25.71/17.06 tff(20895,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20894, 20892])).
% 25.71/17.06 tff(20896,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB173) | (~v107(constB173)) | v106(constB173))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20897,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB173) | v106(constB173) | (~v107(constB173))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20896, 20895])).
% 25.71/17.06 tff(20898,plain,
% 25.71/17.06 (v106(constB173) | (~v107(constB173))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20897, 263, 20891])).
% 25.71/17.06 tff(20899,plain,
% 25.71/17.06 (v106(constB173)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20898, 20887])).
% 25.71/17.06 tff(20900,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB173) | (~v106(constB173)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v106(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20901,plain,
% 25.71/17.06 (((~v106(constB173)) | v102(constB173)) <=> (v102(constB173) | (~v106(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20902,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB173)) | v102(constB173))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB173) | (~v106(constB173))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20901])).
% 25.71/17.06 tff(20903,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB173)) | v102(constB173))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v106(constB173)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20902, 20900])).
% 25.71/17.06 tff(20904,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB173)) | v102(constB173))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20905,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v106(constB173))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20904, 20903])).
% 25.71/17.06 tff(20906,plain,
% 25.71/17.06 (v102(constB173)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20905, 275, 20899])).
% 25.71/17.06 tff(20907,plain,
% 25.71/17.06 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20908,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_173_1')).
% 25.71/17.06 tff(20909,plain,
% 25.71/17.06 (nextState(constB173, constB174)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20908, 20907])).
% 25.71/17.06 tff(20910,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20911,plain,
% 25.71/17.06 (((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174)) <=> ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20912,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20911])).
% 25.71/17.06 tff(20913,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20912, 20910])).
% 25.71/17.06 tff(20914,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB173, constB174)) | (~v102(constB173)) | v104(constB174))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20915,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v102(constB173))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20914, 20913])).
% 25.71/17.06 tff(20916,plain,
% 25.71/17.06 (v104(constB174) | (~v102(constB173))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20915, 295, 20909])).
% 25.71/17.06 tff(20917,plain,
% 25.71/17.06 (v104(constB174)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20916, 20906])).
% 25.71/17.06 tff(20918,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20919,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174)))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20920,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB173) | (~nextState(constB173, constB174)) | (~v98(constB174))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 25.71/17.06 tff(20921,plain,
% 25.71/17.06 (~v98(constB174)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20920, 313, 20909, 20765])).
% 25.71/17.06 tff(20922,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20923,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB173, constB174)) | v96(constB174) | v98(constB174))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20924,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB173, constB174)) | v96(constB174) | v98(constB174)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20923, 20922])).
% 25.71/17.06 tff(20925,plain,
% 25.71/17.06 (v96(constB174) | v98(constB174)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20924, 327, 20909])).
% 25.71/17.06 tff(20926,plain,
% 25.71/17.06 (v96(constB174)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20925, 20921])).
% 25.71/17.06 tff(20927,plain,
% 25.71/17.06 (v1(constB174) <=> v1(constB174)),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20928,axiom,(v1(constB174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_174_1')).
% 25.71/17.06 tff(20929,plain,
% 25.71/17.06 (v1(constB174)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20928, 20927])).
% 25.71/17.06 tff(20930,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20931,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174)))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20932,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB173, constB174)) | v95(constB174) | (~v96(constB174)) | (~v1(constB174))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20931, 20930])).
% 25.71/17.06 tff(20933,plain,
% 25.71/17.06 (v95(constB174) | (~v96(constB174))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20932, 345, 20909, 20929])).
% 25.71/17.06 tff(20934,plain,
% 25.71/17.06 (v95(constB174)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20933, 20926])).
% 25.71/17.06 tff(20935,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20936,plain,
% 25.71/17.06 (((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174)) <=> ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20937,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20936])).
% 25.71/17.06 tff(20938,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20937, 20935])).
% 25.71/17.06 tff(20939,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB173, constB174)) | (~v95(constB174)) | (~v104(constB174)) | v94(constB174))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20940,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB173, constB174)) | v94(constB174) | (~v95(constB174)) | (~v104(constB174))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20939, 20938])).
% 25.71/17.06 tff(20941,plain,
% 25.71/17.06 (v94(constB174) | (~v95(constB174)) | (~v104(constB174))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20940, 360, 20909])).
% 25.71/17.06 tff(20942,plain,
% 25.71/17.06 (v94(constB174) | (~v104(constB174))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20941, 20934])).
% 25.71/17.06 tff(20943,plain,
% 25.71/17.06 (v94(constB174)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20942, 20917])).
% 25.71/17.06 tff(20944,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB173)) | (~v124(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB173)) | (~v124(constB173, bitIndex2)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20945,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB173)) | (~v124(constB173, bitIndex2)))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20946,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB173)) | (~v124(constB173, bitIndex2))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20945, 20944])).
% 25.71/17.06 tff(20947,plain,
% 25.71/17.06 (~v124(constB173, bitIndex2)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20946, 1046, 20858])).
% 25.71/17.06 tff(20948,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20949,plain,
% 25.71/17.06 ((v26(constB173) | v124(constB173, bitIndex2) | (~v121(constB173, bitIndex2))) <=> ((~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20950,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB173) | v124(constB173, bitIndex2) | (~v121(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2)))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20949])).
% 25.71/17.06 tff(20951,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB173) | v124(constB173, bitIndex2) | (~v121(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20950, 20948])).
% 25.71/17.06 tff(20952,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB173) | v124(constB173, bitIndex2) | (~v121(constB173, bitIndex2)))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20953,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB173, bitIndex2)) | v26(constB173) | v124(constB173, bitIndex2)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20952, 20951])).
% 25.71/17.06 tff(20954,plain,
% 25.71/17.06 ((~v121(constB173, bitIndex2)) | v124(constB173, bitIndex2)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20953, 390, 20891])).
% 25.71/17.06 tff(20955,plain,
% 25.71/17.06 (~v121(constB173, bitIndex2)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20954, 20947])).
% 25.71/17.06 tff(20956,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20957,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2)))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20958,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20957, 20956])).
% 25.71/17.06 tff(20959,plain,
% 25.71/17.06 (v121(constB173, bitIndex2) | (~v123(constB174, bitIndex2))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20958, 408, 20909])).
% 25.71/17.06 tff(20960,plain,
% 25.71/17.06 (~v123(constB174, bitIndex2)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20959, 20955])).
% 25.71/17.06 tff(20961,plain,
% 25.71/17.06 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20962,plain,
% 25.71/17.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174)))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20963,plain,
% 25.71/17.06 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2) | (~v94(constB174))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20962, 20961])).
% 25.71/17.06 tff(20964,plain,
% 25.71/17.06 ((~v84(constB174, bitIndex2)) | (~v94(constB174))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20963, 423, 20960])).
% 25.71/17.06 tff(20965,plain,
% 25.71/17.06 (~v84(constB174, bitIndex2)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20964, 20943])).
% 25.71/17.06 tff(20966,plain,
% 25.71/17.06 ((~v1(constB175)) <=> (~v1(constB175))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20967,axiom,(~v1(constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_175_1_1')).
% 25.71/17.06 tff(20968,plain,
% 25.71/17.06 (~v1(constB175)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20967, 20966])).
% 25.71/17.06 tff(20969,plain,
% 25.71/17.06 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20970,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_174_1')).
% 25.71/17.06 tff(20971,plain,
% 25.71/17.06 (nextState(constB174, constB175)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20970, 20969])).
% 25.71/17.06 tff(20972,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20973,plain,
% 25.71/17.06 (((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175)) <=> (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20974,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20973])).
% 25.71/17.06 tff(20975,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20974, 20972])).
% 25.71/17.06 tff(20976,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB174, constB175)) | (~v95(constB175)) | v1(constB175))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20977,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB175) | (~nextState(constB174, constB175)) | (~v95(constB175))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20976, 20975])).
% 25.71/17.06 tff(20978,plain,
% 25.71/17.06 (~v95(constB175)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20977, 73, 20971, 20968])).
% 25.71/17.06 tff(20979,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20980,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175)))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20981,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB174, constB175)) | v95(constB175) | (~v94(constB175))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20980, 20979])).
% 25.71/17.06 tff(20982,plain,
% 25.71/17.06 (v95(constB175) | (~v94(constB175))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20981, 90, 20971])).
% 25.71/17.06 tff(20983,plain,
% 25.71/17.06 (~v94(constB175)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20982, 20978])).
% 25.71/17.06 tff(20984,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20985,plain,
% 25.71/17.06 (((~nextState(constB174, constB175)) | v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2))) <=> (v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20986,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[20985])).
% 25.71/17.06 tff(20987,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[20986, 20984])).
% 25.71/17.06 tff(20988,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2)))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20989,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex2))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20988, 20987])).
% 25.71/17.06 tff(20990,plain,
% 25.71/17.06 (v84(constB174, bitIndex2) | v94(constB175) | (~v84(constB175, bitIndex2))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20989, 105, 20971])).
% 25.71/17.06 tff(20991,plain,
% 25.71/17.06 (v84(constB174, bitIndex2) | (~v84(constB175, bitIndex2))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20990, 20983])).
% 25.71/17.06 tff(20992,plain,
% 25.71/17.06 (~v84(constB175, bitIndex2)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20991, 20965])).
% 25.71/17.06 tff(20993,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB173)) | v124(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB173)) | v124(constB173, bitIndex1))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20994,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB173)) | v124(constB173, bitIndex1))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20995,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB173)) | v124(constB173, bitIndex1)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20994, 20993])).
% 25.71/17.06 tff(20996,plain,
% 25.71/17.06 (v124(constB173, bitIndex1)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20995, 1102, 20858])).
% 25.71/17.06 tff(20997,plain,
% 25.71/17.06 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(20998,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(20999,plain,
% 25.71/17.06 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB173) | (~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[20998, 20997])).
% 25.71/17.06 tff(21000,plain,
% 25.71/17.06 ((~v124(constB173, bitIndex1)) | v121(constB173, bitIndex1)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[20999, 812, 20891])).
% 25.71/17.06 tff(21001,plain,
% 25.71/17.06 (v121(constB173, bitIndex1)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[21000, 20996])).
% 25.71/17.06 tff(21002,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(21003,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(21004,plain,
% 25.71/17.06 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1)),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[21003, 21002])).
% 25.71/17.06 tff(21005,plain,
% 25.71/17.06 ((~v121(constB173, bitIndex1)) | v123(constB174, bitIndex1)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[21004, 827, 20909])).
% 25.71/17.06 tff(21006,plain,
% 25.71/17.06 (v123(constB174, bitIndex1)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[21005, 21001])).
% 25.71/17.06 tff(21007,plain,
% 25.71/17.06 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(21008,plain,
% 25.71/17.06 ((v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1))) <=> (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(21009,plain,
% 25.71/17.06 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174))))),
% 25.71/17.06 inference(monotonicity,[status(thm)],[21008])).
% 25.71/17.06 tff(21010,plain,
% 25.71/17.06 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174)))),
% 25.71/17.06 inference(transitivity,[status(thm)],[21009, 21007])).
% 25.71/17.06 tff(21011,plain,
% 25.71/17.06 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~v94(constB174)) | (~v123(constB174, bitIndex1)))),
% 25.71/17.06 inference(quant_inst,[status(thm)],[])).
% 25.71/17.06 tff(21012,plain,
% 25.71/17.06 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1)) | (~v94(constB174))),
% 25.71/17.06 inference(modus_ponens,[status(thm)],[21011, 21010])).
% 25.71/17.06 tff(21013,plain,
% 25.71/17.06 (v84(constB174, bitIndex1) | (~v94(constB174))),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[21012, 842, 21006])).
% 25.71/17.06 tff(21014,plain,
% 25.71/17.06 (v84(constB174, bitIndex1)),
% 25.71/17.06 inference(unit_resolution,[status(thm)],[21013, 20943])).
% 25.71/17.06 tff(21015,plain,
% 25.71/17.06 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(21016,plain,
% 25.71/17.06 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1)) <=> ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 25.71/17.06 inference(rewrite,[status(thm)],[])).
% 25.71/17.06 tff(21017,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1)))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21016])).
% 25.71/17.07 tff(21018,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21017, 21015])).
% 25.71/17.07 tff(21019,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21020,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex1)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21019, 21018])).
% 25.71/17.07 tff(21021,plain,
% 25.71/17.07 ((~v84(constB174, bitIndex1)) | v94(constB175) | v84(constB175, bitIndex1)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21020, 860, 20971])).
% 25.71/17.07 tff(21022,plain,
% 25.71/17.07 ((~v84(constB174, bitIndex1)) | v84(constB175, bitIndex1)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21021, 20983])).
% 25.71/17.07 tff(21023,plain,
% 25.71/17.07 (v84(constB175, bitIndex1)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21022, 21014])).
% 25.71/17.07 tff(21024,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB173)) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB173)) | v124(constB173, bitIndex0))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21025,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB173)) | v124(constB173, bitIndex0))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21026,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB173)) | v124(constB173, bitIndex0)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21025, 21024])).
% 25.71/17.07 tff(21027,plain,
% 25.71/17.07 (v124(constB173, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21026, 1140, 20858])).
% 25.71/17.07 tff(21028,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21029,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21030,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB173) | (~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21029, 21028])).
% 25.71/17.07 tff(21031,plain,
% 25.71/17.07 ((~v124(constB173, bitIndex0)) | v121(constB173, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21030, 547, 20891])).
% 25.71/17.07 tff(21032,plain,
% 25.71/17.07 (v121(constB173, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21031, 21027])).
% 25.71/17.07 tff(21033,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21034,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21035,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 25.71/17.07 tff(21036,plain,
% 25.71/17.07 ((~v121(constB173, bitIndex0)) | v123(constB174, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21035, 562, 20909])).
% 25.71/17.07 tff(21037,plain,
% 25.71/17.07 (v123(constB174, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21036, 21032])).
% 25.71/17.07 tff(21038,plain,
% 25.71/17.07 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21039,plain,
% 25.71/17.07 ((v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0))) <=> (v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21040,plain,
% 25.71/17.07 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174))))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21039])).
% 25.71/17.07 tff(21041,plain,
% 25.71/17.07 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174)))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21040, 21038])).
% 25.71/17.07 tff(21042,plain,
% 25.71/17.07 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~v94(constB174)) | (~v123(constB174, bitIndex0)))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21043,plain,
% 25.71/17.07 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0)) | (~v94(constB174))),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21042, 21041])).
% 25.71/17.07 tff(21044,plain,
% 25.71/17.07 (v84(constB174, bitIndex0) | (~v94(constB174))),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21043, 577, 21037])).
% 25.71/17.07 tff(21045,plain,
% 25.71/17.07 (v84(constB174, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21044, 20943])).
% 25.71/17.07 tff(21046,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21047,plain,
% 25.71/17.07 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0)) <=> ((~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21048,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0)))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21047])).
% 25.71/17.07 tff(21049,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21048, 21046])).
% 25.71/17.07 tff(21050,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21051,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex0)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21050, 21049])).
% 25.71/17.07 tff(21052,plain,
% 25.71/17.07 ((~v84(constB174, bitIndex0)) | v94(constB175) | v84(constB175, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21051, 595, 20971])).
% 25.71/17.07 tff(21053,plain,
% 25.71/17.07 ((~v84(constB174, bitIndex0)) | v84(constB175, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21052, 20983])).
% 25.71/17.07 tff(21054,plain,
% 25.71/17.07 (v84(constB175, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21053, 21045])).
% 25.71/17.07 tff(21055,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v116(constB175))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v116(constB175))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21056,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v116(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21057,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v116(constB175)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21056, 21055])).
% 25.71/17.07 tff(21058,plain,
% 25.71/17.07 (v116(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21057, 1181, 21054, 21023, 20992])).
% 25.71/17.07 tff(21059,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB175)) | v124(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB175)) | v124(constB175, bitIndex2))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21060,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB175)) | v124(constB175, bitIndex2))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21061,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB175)) | v124(constB175, bitIndex2)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21060, 21059])).
% 25.71/17.07 tff(21062,plain,
% 25.71/17.07 (v124(constB175, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21061, 1273, 21058])).
% 25.71/17.07 tff(21063,assumption,(v26(constB175)), introduced(assumption)).
% 25.71/17.07 tff(21064,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21065,plain,
% 25.71/17.07 ($false),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21064, 18, 21063])).
% 25.71/17.07 tff(21066,plain,(~v26(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.07 tff(21067,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB175) | (~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB175) | (~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21068,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB175) | (~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21069,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB175) | (~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21068, 21067])).
% 25.71/17.07 tff(21070,plain,
% 25.71/17.07 ((~v124(constB175, bitIndex2)) | v121(constB175, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21069, 1287, 21066])).
% 25.71/17.07 tff(21071,plain,
% 25.71/17.07 (v121(constB175, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21070, 21062])).
% 25.71/17.07 tff(21072,plain,
% 25.71/17.07 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21073,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_175_1')).
% 25.71/17.07 tff(21074,plain,
% 25.71/17.07 (nextState(constB175, constB176)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21073, 21072])).
% 25.71/17.07 tff(21075,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21076,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21077,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21076, 21075])).
% 25.71/17.07 tff(21078,plain,
% 25.71/17.07 ((~v121(constB175, bitIndex2)) | v123(constB176, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21077, 1302, 21074])).
% 25.71/17.07 tff(21079,plain,
% 25.71/17.07 (v123(constB176, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21078, 21071])).
% 25.71/17.07 tff(21080,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB175)) | (~v84(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB175)) | (~v84(constB175, bitIndex1)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21081,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB175)) | (~v84(constB175, bitIndex1)))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21082,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB175)) | (~v84(constB175, bitIndex1))),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21081, 21080])).
% 25.71/17.07 tff(21083,plain,
% 25.71/17.07 (~v145(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21082, 2018, 21023])).
% 25.71/17.07 tff(21084,assumption,(~v107(constB175)), introduced(assumption)).
% 25.71/17.07 tff(21085,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB175) | (~v108(constB175)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB175) | (~v108(constB175)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21086,plain,
% 25.71/17.07 (((~v108(constB175)) | v107(constB175)) <=> (v107(constB175) | (~v108(constB175)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21087,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB175)) | v107(constB175))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB175) | (~v108(constB175))))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21086])).
% 25.71/17.07 tff(21088,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB175)) | v107(constB175))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB175) | (~v108(constB175)))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21087, 21085])).
% 25.71/17.07 tff(21089,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB175)) | v107(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21090,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB175) | (~v108(constB175))),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21089, 21088])).
% 25.71/17.07 tff(21091,plain,
% 25.71/17.07 (~v108(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21090, 249, 21084])).
% 25.71/17.07 tff(21092,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v109(constB175)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v109(constB175)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21093,plain,
% 25.71/17.07 (((~v109(constB175)) | v108(constB175)) <=> (v108(constB175) | (~v109(constB175)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21094,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v109(constB175))))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21093])).
% 25.71/17.07 tff(21095,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v109(constB175)))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21094, 21092])).
% 25.71/17.07 tff(21096,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB175)) | v108(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21097,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v109(constB175))),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21096, 21095])).
% 25.71/17.07 tff(21098,plain,
% 25.71/17.07 (~v109(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21097, 235, 21091])).
% 25.71/17.07 tff(21099,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB175)) | v109(constB175))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB175)) | v109(constB175))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21100,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB175)) | v109(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21101,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB175)) | v109(constB175)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21100, 21099])).
% 25.71/17.07 tff(21102,plain,
% 25.71/17.07 (~v110(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21101, 221, 21098])).
% 25.71/17.07 tff(21103,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB175) | (~v111(constB175)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB175) | (~v111(constB175)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21104,plain,
% 25.71/17.07 (((~v111(constB175)) | v110(constB175)) <=> (v110(constB175) | (~v111(constB175)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21105,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB175)) | v110(constB175))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB175) | (~v111(constB175))))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21104])).
% 25.71/17.07 tff(21106,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB175)) | v110(constB175))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB175) | (~v111(constB175)))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21105, 21103])).
% 25.71/17.07 tff(21107,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB175)) | v110(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21108,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB175) | (~v111(constB175))),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21107, 21106])).
% 25.71/17.07 tff(21109,plain,
% 25.71/17.07 (~v111(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21108, 207, 21102])).
% 25.71/17.07 tff(21110,assumption,(~v145(constB175)), introduced(assumption)).
% 25.71/17.07 tff(21111,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v118(constB175)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v118(constB175)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21112,plain,
% 25.71/17.07 (((~v118(constB175)) | v108(constB175)) <=> (v108(constB175) | (~v118(constB175)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21113,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB175) | (~v118(constB175))))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21112])).
% 25.71/17.07 tff(21114,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB175)) | v108(constB175))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v118(constB175)))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21113, 21111])).
% 25.71/17.07 tff(21115,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB175)) | v108(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21116,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB175) | (~v118(constB175))),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21115, 21114])).
% 25.71/17.07 tff(21117,plain,
% 25.71/17.07 (~v118(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21116, 1688, 21091])).
% 25.71/17.07 tff(21118,assumption,(v94(constB170)), introduced(assumption)).
% 25.71/17.07 tff(21119,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB175)) | v110(constB175))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB175)) | v110(constB175))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21120,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB175)) | v110(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21121,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB175)) | v110(constB175)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21120, 21119])).
% 25.71/17.07 tff(21122,plain,
% 25.71/17.07 (~v116(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21121, 1192, 21102])).
% 25.71/17.07 tff(21123,assumption,(~v115(constB175)), introduced(assumption)).
% 25.71/17.07 tff(21124,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB175)) | v107(constB175))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB175)) | v107(constB175))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21125,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB175)) | v107(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21126,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (~v119(constB175)) | v107(constB175)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21125, 21124])).
% 25.71/17.07 tff(21127,plain,
% 25.71/17.07 (~v119(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21126, 1910, 21084])).
% 25.71/17.07 tff(21128,assumption,(~v118(constB175)), introduced(assumption)).
% 25.71/17.07 tff(21129,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB175) | (~v172(constB175)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB175) | (~v172(constB175)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21130,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB175) | (~v172(constB175)))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21131,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB175) | (~v172(constB175))),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21130, 21129])).
% 25.71/17.07 tff(21132,plain,
% 25.71/17.07 (~v172(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21131, 1468, 21098])).
% 25.71/17.07 tff(21133,assumption,(~v84(constB175, bitIndex1)), introduced(assumption)).
% 25.71/17.07 tff(21134,assumption,(~v84(constB175, bitIndex2)), introduced(assumption)).
% 25.71/17.07 tff(21135,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21136,plain,
% 25.71/17.07 (((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2)) <=> ((~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21137,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2)))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21136])).
% 25.71/17.07 tff(21138,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21137, 21135])).
% 25.71/17.07 tff(21139,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB174, constB175)) | (~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21140,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB174, bitIndex2)) | (~nextState(constB174, constB175)) | v94(constB175) | v84(constB175, bitIndex2)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21139, 21138])).
% 25.71/17.07 tff(21141,plain,
% 25.71/17.07 ((~v84(constB174, bitIndex2)) | v94(constB175) | v84(constB175, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21140, 1353, 20971])).
% 25.71/17.07 tff(21142,plain,
% 25.71/17.07 ((~v84(constB174, bitIndex2)) | v84(constB175, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21141, 20983])).
% 25.71/17.07 tff(21143,plain,
% 25.71/17.07 (~v84(constB174, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21142, 21134])).
% 25.71/17.07 tff(21144,plain,
% 25.71/17.07 (~v84(constB174, bitIndex1)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21022, 21133])).
% 25.71/17.07 tff(21145,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB175, bitIndex0)) | v84(constB175, bitIndex1) | v84(constB175, bitIndex2) | v145(constB175))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB175, bitIndex0)) | v84(constB175, bitIndex1) | v84(constB175, bitIndex2) | v145(constB175))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21146,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB175, bitIndex0)) | v84(constB175, bitIndex1) | v84(constB175, bitIndex2) | v145(constB175))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21147,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB175, bitIndex0)) | v84(constB175, bitIndex1) | v84(constB175, bitIndex2) | v145(constB175)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21146, 21145])).
% 25.71/17.07 tff(21148,plain,
% 25.71/17.07 ((~v84(constB175, bitIndex0)) | v84(constB175, bitIndex2) | v145(constB175)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21147, 614, 21133])).
% 25.71/17.07 tff(21149,plain,
% 25.71/17.07 (~v84(constB175, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21148, 21134, 21110])).
% 25.71/17.07 tff(21150,plain,
% 25.71/17.07 (~v84(constB174, bitIndex0)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21053, 21149])).
% 25.71/17.07 tff(21151,assumption,(~v102(constB173)), introduced(assumption)).
% 25.71/17.07 tff(21152,plain,
% 25.71/17.07 (~v106(constB173)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[20905, 275, 21151])).
% 25.71/17.07 tff(21153,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB173) | (~v26(constB173)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v26(constB173)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21154,plain,
% 25.71/17.07 (((~v26(constB173)) | v102(constB173)) <=> (v102(constB173) | (~v26(constB173)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21155,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB173)) | v102(constB173))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB173) | (~v26(constB173))))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21154])).
% 25.71/17.07 tff(21156,plain,
% 25.71/17.07 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB173)) | v102(constB173))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v26(constB173)))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21155, 21153])).
% 25.71/17.07 tff(21157,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB173)) | v102(constB173))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21158,plain,
% 25.71/17.07 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB173) | (~v26(constB173))),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21157, 21156])).
% 25.71/17.07 tff(21159,plain,
% 25.71/17.07 (~v26(constB173)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21158, 660, 21151])).
% 25.71/17.07 tff(21160,plain,
% 25.71/17.07 (~v107(constB173)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[20897, 263, 21159, 21152])).
% 25.71/17.07 tff(21161,plain,
% 25.71/17.07 (~v108(constB173)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[20886, 249, 21160])).
% 25.71/17.07 tff(21162,plain,
% 25.71/17.07 (~v109(constB173)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[20879, 235, 21161])).
% 25.71/17.07 tff(21163,assumption,(~v84(constB174, bitIndex2)), introduced(assumption)).
% 25.71/17.07 tff(21164,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21165,plain,
% 25.71/17.07 (((~nextState(constB173, constB174)) | v102(constB173) | (~v104(constB174))) <=> ((~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21166,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | v102(constB173) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173)))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21165])).
% 25.71/17.07 tff(21167,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | v102(constB173) | (~v104(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21166, 21164])).
% 25.71/17.07 tff(21168,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB173, constB174)) | v102(constB173) | (~v104(constB174)))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21169,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB173, constB174)) | (~v104(constB174)) | v102(constB173)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21168, 21167])).
% 25.71/17.07 tff(21170,plain,
% 25.71/17.07 ((~v104(constB174)) | v102(constB173)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21169, 2869, 20909])).
% 25.71/17.07 tff(21171,plain,
% 25.71/17.07 (~v104(constB174)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21170, 21151])).
% 25.71/17.07 tff(21172,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v94(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v94(constB174)))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21173,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB173, constB174)) | v104(constB174) | (~v94(constB174)))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21174,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB173, constB174)) | v104(constB174) | (~v94(constB174))),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21173, 21172])).
% 25.71/17.07 tff(21175,plain,
% 25.71/17.07 (v104(constB174) | (~v94(constB174))),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21174, 2887, 20909])).
% 25.71/17.07 tff(21176,plain,
% 25.71/17.07 (~v94(constB174)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21175, 21171])).
% 25.71/17.07 tff(21177,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex2))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21178,plain,
% 25.71/17.07 (((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex2)) | v94(constB174) | v84(constB174, bitIndex2)) <=> ((~v84(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex2))),
% 25.71/17.07 inference(rewrite,[status(thm)],[])).
% 25.71/17.07 tff(21179,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex2)) | v94(constB174) | v84(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex2)))),
% 25.71/17.07 inference(monotonicity,[status(thm)],[21178])).
% 25.71/17.07 tff(21180,plain,
% 25.71/17.07 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex2)) | v94(constB174) | v84(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex2))),
% 25.71/17.07 inference(transitivity,[status(thm)],[21179, 21177])).
% 25.71/17.07 tff(21181,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex2)) | v94(constB174) | v84(constB174, bitIndex2))),
% 25.71/17.07 inference(quant_inst,[status(thm)],[])).
% 25.71/17.07 tff(21182,plain,
% 25.71/17.07 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB173, bitIndex2)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex2)),
% 25.71/17.07 inference(modus_ponens,[status(thm)],[21181, 21180])).
% 25.71/17.07 tff(21183,plain,
% 25.71/17.07 ((~v84(constB173, bitIndex2)) | v94(constB174) | v84(constB174, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21182, 1353, 20909])).
% 25.71/17.07 tff(21184,plain,
% 25.71/17.07 (~v84(constB173, bitIndex2)),
% 25.71/17.07 inference(unit_resolution,[status(thm)],[21183, 21176, 21163])).
% 25.71/17.07 tff(21185,assumption,(~v84(constB174, bitIndex1)), introduced(assumption)).
% 25.71/17.08 tff(21186,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21187,plain,
% 25.71/17.08 (((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1)) <=> ((~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21188,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1)))),
% 25.71/17.08 inference(monotonicity,[status(thm)],[21187])).
% 25.71/17.08 tff(21189,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1))),
% 25.71/17.08 inference(transitivity,[status(thm)],[21188, 21186])).
% 25.71/17.08 tff(21190,plain,
% 25.71/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21191,plain,
% 25.71/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB173, bitIndex1)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex1)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 25.71/17.08 tff(21192,plain,
% 25.71/17.08 ((~v84(constB173, bitIndex1)) | v94(constB174) | v84(constB174, bitIndex1)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21191, 860, 20909])).
% 25.71/17.08 tff(21193,plain,
% 25.71/17.08 (~v84(constB173, bitIndex1)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21192, 21176, 21185])).
% 25.71/17.08 tff(21194,assumption,(~v84(constB174, bitIndex0)), introduced(assumption)).
% 25.71/17.08 tff(21195,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex0))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21196,plain,
% 25.71/17.08 (((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex0)) | v94(constB174) | v84(constB174, bitIndex0)) <=> ((~v84(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex0))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21197,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex0)) | v94(constB174) | v84(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex0)))),
% 25.71/17.08 inference(monotonicity,[status(thm)],[21196])).
% 25.71/17.08 tff(21198,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex0)) | v94(constB174) | v84(constB174, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex0))),
% 25.71/17.08 inference(transitivity,[status(thm)],[21197, 21195])).
% 25.71/17.08 tff(21199,plain,
% 25.71/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB173, constB174)) | (~v84(constB173, bitIndex0)) | v94(constB174) | v84(constB174, bitIndex0))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21200,plain,
% 25.71/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB173, bitIndex0)) | (~nextState(constB173, constB174)) | v94(constB174) | v84(constB174, bitIndex0)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21199, 21198])).
% 25.71/17.08 tff(21201,plain,
% 25.71/17.08 ((~v84(constB173, bitIndex0)) | v94(constB174) | v84(constB174, bitIndex0)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21200, 595, 20909])).
% 25.71/17.08 tff(21202,plain,
% 25.71/17.08 (~v84(constB173, bitIndex0)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21201, 21176, 21194])).
% 25.71/17.08 tff(21203,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21204,plain,
% 25.71/17.08 ((v84(constB173, bitIndex0) | v113(constB173) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2)) <=> (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21205,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v113(constB173) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173)))),
% 25.71/17.08 inference(monotonicity,[status(thm)],[21204])).
% 25.71/17.08 tff(21206,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v113(constB173) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173))),
% 25.71/17.08 inference(transitivity,[status(thm)],[21205, 21203])).
% 25.71/17.08 tff(21207,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB173, bitIndex0) | v113(constB173) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21208,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | v84(constB173, bitIndex2) | v113(constB173)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21207, 21206])).
% 25.71/17.08 tff(21209,plain,
% 25.71/17.08 (v113(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21208, 168, 21202, 21193, 21184])).
% 25.71/17.08 tff(21210,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB173) | (~v113(constB173)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB173) | (~v113(constB173)))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21211,plain,
% 25.71/17.08 (((~v113(constB173)) | v112(constB173)) <=> (v112(constB173) | (~v113(constB173)))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21212,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB173) | (~v113(constB173))))),
% 25.71/17.08 inference(monotonicity,[status(thm)],[21211])).
% 25.71/17.08 tff(21213,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB173)) | v112(constB173))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB173) | (~v113(constB173)))),
% 25.71/17.08 inference(transitivity,[status(thm)],[21212, 21210])).
% 25.71/17.08 tff(21214,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB173)) | v112(constB173))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21215,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB173) | (~v113(constB173))),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 25.71/17.08 tff(21216,plain,
% 25.71/17.08 (v112(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21215, 182, 21209])).
% 25.71/17.08 tff(21217,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB173) | (~v112(constB173)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB173) | (~v112(constB173)))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21218,plain,
% 25.71/17.08 (((~v112(constB173)) | v111(constB173)) <=> (v111(constB173) | (~v112(constB173)))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21219,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB173)) | v111(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB173) | (~v112(constB173))))),
% 25.71/17.08 inference(monotonicity,[status(thm)],[21218])).
% 25.71/17.08 tff(21220,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB173)) | v111(constB173))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB173) | (~v112(constB173)))),
% 25.71/17.08 inference(transitivity,[status(thm)],[21219, 21217])).
% 25.71/17.08 tff(21221,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB173)) | v111(constB173))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21222,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB173) | (~v112(constB173))),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21221, 21220])).
% 25.71/17.08 tff(21223,plain,
% 25.71/17.08 (v111(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21222, 193, 21216])).
% 25.71/17.08 tff(21224,plain,
% 25.71/17.08 (v110(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[20868, 207, 21223])).
% 25.71/17.08 tff(21225,plain,
% 25.71/17.08 ($false),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[20872, 221, 21224, 21162])).
% 25.71/17.08 tff(21226,plain,(v102(constB173) | v84(constB174, bitIndex2) | v84(constB174, bitIndex0) | v84(constB174, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.08 tff(21227,plain,
% 25.71/17.08 (v102(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21226, 21150, 21143, 21144])).
% 25.71/17.08 tff(21228,plain,
% 25.71/17.08 (v104(constB174)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[20916, 21227])).
% 25.71/17.08 tff(21229,plain,
% 25.71/17.08 (v94(constB174)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[20942, 21228])).
% 25.71/17.08 tff(21230,plain,
% 25.71/17.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21231,plain,
% 25.71/17.08 ((v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2))) <=> (v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21232,plain,
% 25.71/17.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174))))),
% 25.71/17.08 inference(monotonicity,[status(thm)],[21231])).
% 25.71/17.08 tff(21233,plain,
% 25.71/17.08 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174)))),
% 25.71/17.08 inference(transitivity,[status(thm)],[21232, 21230])).
% 25.71/17.08 tff(21234,plain,
% 25.71/17.08 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB174, bitIndex2) | (~v94(constB174)) | (~v123(constB174, bitIndex2)))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21235,plain,
% 25.71/17.08 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB174, bitIndex2) | (~v123(constB174, bitIndex2)) | (~v94(constB174))),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21234, 21233])).
% 25.71/17.08 tff(21236,plain,
% 25.71/17.08 (~v123(constB174, bitIndex2)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21235, 1317, 21229, 21143])).
% 25.71/17.08 tff(21237,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21238,plain,
% 25.71/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21239,plain,
% 25.71/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB173, constB174)) | (~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21238, 21237])).
% 25.71/17.08 tff(21240,plain,
% 25.71/17.08 ((~v121(constB173, bitIndex2)) | v123(constB174, bitIndex2)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21239, 1302, 20909])).
% 25.71/17.08 tff(21241,plain,
% 25.71/17.08 (~v121(constB173, bitIndex2)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21240, 21236])).
% 25.71/17.08 tff(21242,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21243,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21244,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB173) | (~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21243, 21242])).
% 25.71/17.08 tff(21245,plain,
% 25.71/17.08 ((~v124(constB173, bitIndex2)) | v121(constB173, bitIndex2)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21244, 1287, 20891])).
% 25.71/17.08 tff(21246,plain,
% 25.71/17.08 (~v124(constB173, bitIndex2)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21245, 21241])).
% 25.71/17.08 tff(21247,plain,
% 25.71/17.08 ((~v123(constB174, bitIndex1)) | (~v94(constB174))),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21012, 842, 21144])).
% 25.71/17.08 tff(21248,plain,
% 25.71/17.08 (~v123(constB174, bitIndex1)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21247, 21229])).
% 25.71/17.08 tff(21249,plain,
% 25.71/17.08 (~v121(constB173, bitIndex1)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21005, 21248])).
% 25.71/17.08 tff(21250,plain,
% 25.71/17.08 (~v124(constB173, bitIndex1)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21000, 21249])).
% 25.71/17.08 tff(21251,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB173)) | v124(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB173)) | v124(constB173, bitIndex1))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21252,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB173)) | v124(constB173, bitIndex1))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21253,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB173)) | v124(constB173, bitIndex1)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21252, 21251])).
% 25.71/17.08 tff(21254,plain,
% 25.71/17.08 (~v145(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21253, 798, 21250])).
% 25.71/17.08 tff(21255,plain,
% 25.71/17.08 (~v123(constB174, bitIndex0)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21043, 577, 21229, 21150])).
% 25.71/17.08 tff(21256,plain,
% 25.71/17.08 (~v121(constB173, bitIndex0)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21036, 21255])).
% 25.71/17.08 tff(21257,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB173)) | v124(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB173)) | v124(constB173, bitIndex1))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21258,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB173)) | v124(constB173, bitIndex1))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21259,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB173)) | v124(constB173, bitIndex1)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21258, 21257])).
% 25.71/17.08 tff(21260,plain,
% 25.71/17.08 (~v118(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21259, 1817, 21250])).
% 25.71/17.08 tff(21261,assumption,(~v26(constB173)), introduced(assumption)).
% 25.71/17.08 tff(21262,assumption,(~v121(constB173, bitIndex0)), introduced(assumption)).
% 25.71/17.08 tff(21263,plain,
% 25.71/17.08 (v26(constB173) | (~v124(constB173, bitIndex0))),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21030, 547, 21262])).
% 25.71/17.08 tff(21264,plain,
% 25.71/17.08 (~v124(constB173, bitIndex0)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21263, 21261])).
% 25.71/17.08 tff(21265,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB173)) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB173)) | v124(constB173, bitIndex0))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21266,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB173)) | v124(constB173, bitIndex0))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21267,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB173)) | v124(constB173, bitIndex0)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21266, 21265])).
% 25.71/17.08 tff(21268,plain,
% 25.71/17.08 (~v113(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21267, 533, 21264])).
% 25.71/17.08 tff(21269,assumption,(~v121(constB173, bitIndex1)), introduced(assumption)).
% 25.71/17.08 tff(21270,plain,
% 25.71/17.08 (v26(constB173) | (~v124(constB173, bitIndex1))),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[20999, 812, 21269])).
% 25.71/17.08 tff(21271,plain,
% 25.71/17.08 (~v124(constB173, bitIndex1)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21270, 21261])).
% 25.71/17.08 tff(21272,plain,
% 25.71/17.08 (~v115(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[20995, 1102, 21271])).
% 25.71/17.08 tff(21273,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB173)) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB173)) | v124(constB173, bitIndex0))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21274,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB173)) | v124(constB173, bitIndex0))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21275,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB173)) | v124(constB173, bitIndex0)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21274, 21273])).
% 25.71/17.08 tff(21276,plain,
% 25.71/17.08 (~v172(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21275, 1636, 21264])).
% 25.71/17.08 tff(21277,assumption,(~v116(constB173)), introduced(assumption)).
% 25.71/17.08 tff(21278,assumption,(~v118(constB173)), introduced(assumption)).
% 25.71/17.08 tff(21279,assumption,(~v145(constB173)), introduced(assumption)).
% 25.71/17.08 tff(21280,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21281,plain,
% 25.71/17.08 ((v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | v124(constB173, bitIndex0)) <=> (v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21282,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0)))),
% 25.71/17.08 inference(monotonicity,[status(thm)],[21281])).
% 25.71/17.08 tff(21283,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0))),
% 25.71/17.08 inference(transitivity,[status(thm)],[21282, 21280])).
% 25.71/17.08 tff(21284,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | v124(constB173, bitIndex0))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21285,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21284, 21283])).
% 25.71/17.08 tff(21286,plain,
% 25.71/17.08 (v172(constB173) | v115(constB173) | v113(constB173) | v124(constB173, bitIndex0)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21285, 2152, 21279, 21278, 21277])).
% 25.71/17.08 tff(21287,plain,
% 25.71/17.08 ($false),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21286, 21276, 21272, 21264, 21268])).
% 25.71/17.08 tff(21288,plain,(v26(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v121(constB173, bitIndex0) | v121(constB173, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.08 tff(21289,plain,
% 25.71/17.08 (v116(constB173)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21288, 21260, 20891, 21249, 21256, 21254])).
% 25.71/17.08 tff(21290,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB173)) | v124(constB173, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB173)) | v124(constB173, bitIndex2))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21291,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB173)) | v124(constB173, bitIndex2))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21292,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB173)) | v124(constB173, bitIndex2)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21291, 21290])).
% 25.71/17.08 tff(21293,plain,
% 25.71/17.08 ($false),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21292, 1273, 21289, 21246])).
% 25.71/17.08 tff(21294,plain,(v84(constB175, bitIndex2) | v145(constB175) | v84(constB175, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.08 tff(21295,plain,
% 25.71/17.08 (v84(constB175, bitIndex2)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21294, 21133, 21110])).
% 25.71/17.08 tff(21296,assumption,(v84(constB175, bitIndex0)), introduced(assumption)).
% 25.71/17.08 tff(21297,plain,
% 25.71/17.08 (v84(constB175, bitIndex2)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21148, 21296, 21110])).
% 25.71/17.08 tff(21298,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB175, bitIndex0)) | v84(constB175, bitIndex1) | (~v84(constB175, bitIndex2)) | v118(constB175))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB175, bitIndex0)) | v84(constB175, bitIndex1) | (~v84(constB175, bitIndex2)) | v118(constB175))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21299,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB175, bitIndex0)) | v84(constB175, bitIndex1) | (~v84(constB175, bitIndex2)) | v118(constB175))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21300,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB175, bitIndex0)) | v84(constB175, bitIndex1) | (~v84(constB175, bitIndex2)) | v118(constB175)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21299, 21298])).
% 25.71/17.08 tff(21301,plain,
% 25.71/17.08 ((~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex2)) | v118(constB175)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21300, 1677, 21133])).
% 25.71/17.08 tff(21302,plain,
% 25.71/17.08 ($false),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21301, 21297, 21296, 21128])).
% 25.71/17.08 tff(21303,plain,((~v84(constB175, bitIndex0)) | v118(constB175) | v84(constB175, bitIndex1) | v145(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.08 tff(21304,plain,
% 25.71/17.08 (~v84(constB175, bitIndex0)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21303, 21133, 21128, 21110])).
% 25.71/17.08 tff(21305,assumption,(~v172(constB175)), introduced(assumption)).
% 25.71/17.08 tff(21306,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB175, bitIndex0) | v84(constB175, bitIndex1) | (~v84(constB175, bitIndex2)) | v172(constB175))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB175, bitIndex0) | v84(constB175, bitIndex1) | (~v84(constB175, bitIndex2)) | v172(constB175))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21307,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB175, bitIndex0) | v84(constB175, bitIndex1) | (~v84(constB175, bitIndex2)) | v172(constB175))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21308,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB175, bitIndex0) | v84(constB175, bitIndex1) | (~v84(constB175, bitIndex2)) | v172(constB175)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21307, 21306])).
% 25.71/17.08 tff(21309,plain,
% 25.71/17.08 (v84(constB175, bitIndex0) | v84(constB175, bitIndex1) | (~v84(constB175, bitIndex2))),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21308, 1454, 21305])).
% 25.71/17.08 tff(21310,plain,
% 25.71/17.08 ($false),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21309, 21304, 21133, 21295])).
% 25.71/17.08 tff(21311,plain,(v84(constB175, bitIndex1) | v172(constB175) | v118(constB175) | v145(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.08 tff(21312,plain,
% 25.71/17.08 (v84(constB175, bitIndex1)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21311, 21132, 21128, 21110])).
% 25.71/17.08 tff(21313,assumption,(v84(constB175, bitIndex1)), introduced(assumption)).
% 25.71/17.08 tff(21314,assumption,(~v84(constB175, bitIndex0)), introduced(assumption)).
% 25.71/17.08 tff(21315,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v115(constB175))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v115(constB175))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21316,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v115(constB175))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21317,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2) | v115(constB175)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21316, 21315])).
% 25.71/17.08 tff(21318,plain,
% 25.71/17.08 (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21317, 950, 21123])).
% 25.71/17.08 tff(21319,plain,
% 25.71/17.08 (v84(constB175, bitIndex2)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21318, 21314, 21313])).
% 25.71/17.08 tff(21320,assumption,(~v119(constB175)), introduced(assumption)).
% 25.71/17.08 tff(21321,plain,
% 25.71/17.08 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21322,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21323,plain,
% 25.71/17.08 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2)) | v119(constB175)),
% 25.71/17.08 inference(modus_ponens,[status(thm)],[21322, 21321])).
% 25.71/17.08 tff(21324,plain,
% 25.71/17.08 (v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex2))),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21323, 1899, 21320])).
% 25.71/17.08 tff(21325,plain,
% 25.71/17.08 ($false),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21324, 21319, 21314, 21313])).
% 25.71/17.08 tff(21326,plain,(v84(constB175, bitIndex0) | (~v84(constB175, bitIndex1)) | v119(constB175) | v115(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.71/17.08 tff(21327,plain,
% 25.71/17.08 (v84(constB175, bitIndex0)),
% 25.71/17.08 inference(unit_resolution,[status(thm)],[21326, 21312, 21127, 21123])).
% 25.71/17.08 tff(21328,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21329,plain,
% 25.71/17.08 (((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0))) <=> (v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 25.71/17.08 inference(rewrite,[status(thm)],[])).
% 25.71/17.08 tff(21330,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0))))),
% 25.71/17.08 inference(monotonicity,[status(thm)],[21329])).
% 25.71/17.08 tff(21331,plain,
% 25.71/17.08 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 25.71/17.08 inference(transitivity,[status(thm)],[21330, 21328])).
% 25.71/17.08 tff(21332,plain,
% 25.71/17.08 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0)))),
% 25.71/17.08 inference(quant_inst,[status(thm)],[])).
% 25.71/17.08 tff(21333,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB174, bitIndex0) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex0))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21332, 21331])).
% 25.71/17.09 tff(21334,plain,
% 25.71/17.09 (v84(constB174, bitIndex0) | v94(constB175) | (~v84(constB175, bitIndex0))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21333, 147, 20971])).
% 25.71/17.09 tff(21335,plain,
% 25.71/17.09 (v84(constB174, bitIndex0) | (~v84(constB175, bitIndex0))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21334, 20983])).
% 25.71/17.09 tff(21336,plain,
% 25.71/17.09 (v84(constB174, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21335, 21327])).
% 25.71/17.09 tff(21337,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex1)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21338,plain,
% 25.71/17.09 (((~nextState(constB174, constB175)) | v84(constB174, bitIndex1) | v94(constB175) | (~v84(constB175, bitIndex1))) <=> (v84(constB174, bitIndex1) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex1)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21339,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex1) | v94(constB175) | (~v84(constB175, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB174, bitIndex1) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex1))))),
% 25.71/17.09 inference(monotonicity,[status(thm)],[21338])).
% 25.71/17.09 tff(21340,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex1) | v94(constB175) | (~v84(constB175, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex1)))),
% 25.71/17.09 inference(transitivity,[status(thm)],[21339, 21337])).
% 25.71/17.09 tff(21341,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB174, constB175)) | v84(constB174, bitIndex1) | v94(constB175) | (~v84(constB175, bitIndex1)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21342,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB174, bitIndex1) | (~nextState(constB174, constB175)) | v94(constB175) | (~v84(constB175, bitIndex1))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21341, 21340])).
% 25.71/17.09 tff(21343,plain,
% 25.71/17.09 (v84(constB174, bitIndex1) | v94(constB175) | (~v84(constB175, bitIndex1))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21342, 126, 20971])).
% 25.71/17.09 tff(21344,plain,
% 25.71/17.09 (v84(constB174, bitIndex1) | (~v84(constB175, bitIndex1))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21343, 20983])).
% 25.71/17.09 tff(21345,plain,
% 25.71/17.09 (v84(constB174, bitIndex1)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21344, 21312])).
% 25.71/17.09 tff(21346,assumption,(~v116(constB175)), introduced(assumption)).
% 25.71/17.09 tff(21347,plain,
% 25.71/17.09 ((~v84(constB175, bitIndex0)) | (~v84(constB175, bitIndex1)) | v84(constB175, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21057, 1181, 21346])).
% 25.71/17.09 tff(21348,plain,
% 25.71/17.09 (v84(constB175, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21347, 21327, 21312])).
% 25.71/17.09 tff(21349,plain,
% 25.71/17.09 (v84(constB174, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20991, 21348])).
% 25.71/17.09 tff(21350,assumption,(v84(constB174, bitIndex2)), introduced(assumption)).
% 25.71/17.09 tff(21351,assumption,(~v94(constB174)), introduced(assumption)).
% 25.71/17.09 tff(21352,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex2)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21353,plain,
% 25.71/17.09 (((~nextState(constB173, constB174)) | v84(constB173, bitIndex2) | v94(constB174) | (~v84(constB174, bitIndex2))) <=> (v84(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex2)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21354,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v84(constB173, bitIndex2) | v94(constB174) | (~v84(constB174, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex2))))),
% 25.71/17.09 inference(monotonicity,[status(thm)],[21353])).
% 25.71/17.09 tff(21355,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v84(constB173, bitIndex2) | v94(constB174) | (~v84(constB174, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex2)))),
% 25.71/17.09 inference(transitivity,[status(thm)],[21354, 21352])).
% 25.71/17.09 tff(21356,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB173, constB174)) | v84(constB173, bitIndex2) | v94(constB174) | (~v84(constB174, bitIndex2)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21357,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB173, bitIndex2) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex2))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21356, 21355])).
% 25.71/17.09 tff(21358,plain,
% 25.71/17.09 (v84(constB173, bitIndex2) | v94(constB174) | (~v84(constB174, bitIndex2))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21357, 105, 20909])).
% 25.71/17.09 tff(21359,plain,
% 25.71/17.09 (v84(constB173, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21358, 21351, 21350])).
% 25.71/17.09 tff(21360,plain,
% 25.71/17.09 (v84(constB172, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20788, 21359])).
% 25.71/17.09 tff(21361,assumption,(v84(constB174, bitIndex0)), introduced(assumption)).
% 25.71/17.09 tff(21362,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex0)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21363,plain,
% 25.71/17.09 (((~nextState(constB173, constB174)) | v84(constB173, bitIndex0) | v94(constB174) | (~v84(constB174, bitIndex0))) <=> (v84(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex0)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21364,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v84(constB173, bitIndex0) | v94(constB174) | (~v84(constB174, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex0))))),
% 25.71/17.09 inference(monotonicity,[status(thm)],[21363])).
% 25.71/17.09 tff(21365,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v84(constB173, bitIndex0) | v94(constB174) | (~v84(constB174, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex0)))),
% 25.71/17.09 inference(transitivity,[status(thm)],[21364, 21362])).
% 25.71/17.09 tff(21366,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v84(constB173, bitIndex0) | v94(constB174) | (~v84(constB174, bitIndex0)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21367,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB173, bitIndex0) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex0))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21366, 21365])).
% 25.71/17.09 tff(21368,plain,
% 25.71/17.09 (v84(constB173, bitIndex0) | v94(constB174) | (~v84(constB174, bitIndex0))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21367, 147, 20909])).
% 25.71/17.09 tff(21369,plain,
% 25.71/17.09 (v84(constB173, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21368, 21351, 21361])).
% 25.71/17.09 tff(21370,plain,
% 25.71/17.09 (v84(constB172, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20853, 21369])).
% 25.71/17.09 tff(21371,assumption,(v84(constB172, bitIndex2)), introduced(assumption)).
% 25.71/17.09 tff(21372,assumption,(~v94(constB172)), introduced(assumption)).
% 25.71/17.09 tff(21373,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB171, bitIndex2) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB171, bitIndex2) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex2)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21374,plain,
% 25.71/17.09 (((~nextState(constB171, constB172)) | v84(constB171, bitIndex2) | v94(constB172) | (~v84(constB172, bitIndex2))) <=> (v84(constB171, bitIndex2) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex2)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21375,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v84(constB171, bitIndex2) | v94(constB172) | (~v84(constB172, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB171, bitIndex2) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex2))))),
% 25.71/17.09 inference(monotonicity,[status(thm)],[21374])).
% 25.71/17.09 tff(21376,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v84(constB171, bitIndex2) | v94(constB172) | (~v84(constB172, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB171, bitIndex2) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex2)))),
% 25.71/17.09 inference(transitivity,[status(thm)],[21375, 21373])).
% 25.71/17.09 tff(21377,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB171, constB172)) | v84(constB171, bitIndex2) | v94(constB172) | (~v84(constB172, bitIndex2)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21378,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB171, bitIndex2) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex2))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21377, 21376])).
% 25.71/17.09 tff(21379,plain,
% 25.71/17.09 (v84(constB171, bitIndex2) | v94(constB172) | (~v84(constB172, bitIndex2))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21378, 105, 20706])).
% 25.71/17.09 tff(21380,plain,
% 25.71/17.09 (v84(constB171, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21379, 21372, 21371])).
% 25.71/17.09 tff(21381,plain,
% 25.71/17.09 (v84(constB170, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20573, 21380])).
% 25.71/17.09 tff(21382,plain,
% 25.71/17.09 ((~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20546, 423, 21118])).
% 25.71/17.09 tff(21383,plain,
% 25.71/17.09 (v123(constB170, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21382, 21381])).
% 25.71/17.09 tff(21384,plain,
% 25.71/17.09 (v121(constB169, bitIndex2)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20443, 21383])).
% 25.71/17.09 tff(21385,plain,
% 25.71/17.09 (v26(constB169)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20429, 21384])).
% 25.71/17.09 tff(21386,assumption,(v84(constB172, bitIndex0)), introduced(assumption)).
% 25.71/17.09 tff(21387,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex0)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21388,plain,
% 25.71/17.09 (((~nextState(constB171, constB172)) | v84(constB171, bitIndex0) | v94(constB172) | (~v84(constB172, bitIndex0))) <=> (v84(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex0)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21389,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v84(constB171, bitIndex0) | v94(constB172) | (~v84(constB172, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex0))))),
% 25.71/17.09 inference(monotonicity,[status(thm)],[21388])).
% 25.71/17.09 tff(21390,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v84(constB171, bitIndex0) | v94(constB172) | (~v84(constB172, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex0)))),
% 25.71/17.09 inference(transitivity,[status(thm)],[21389, 21387])).
% 25.71/17.09 tff(21391,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB171, constB172)) | v84(constB171, bitIndex0) | v94(constB172) | (~v84(constB172, bitIndex0)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21392,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB171, bitIndex0) | (~nextState(constB171, constB172)) | v94(constB172) | (~v84(constB172, bitIndex0))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21391, 21390])).
% 25.71/17.09 tff(21393,plain,
% 25.71/17.09 (v84(constB171, bitIndex0) | v94(constB172) | (~v84(constB172, bitIndex0))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21392, 147, 20706])).
% 25.71/17.09 tff(21394,plain,
% 25.71/17.09 (v84(constB171, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21393, 21372, 21386])).
% 25.71/17.09 tff(21395,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex0)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21396,plain,
% 25.71/17.09 (((~nextState(constB170, constB171)) | v84(constB170, bitIndex0) | v94(constB171) | (~v84(constB171, bitIndex0))) <=> (v84(constB170, bitIndex0) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex0)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21397,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex0) | v94(constB171) | (~v84(constB171, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB170, bitIndex0) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex0))))),
% 25.71/17.09 inference(monotonicity,[status(thm)],[21396])).
% 25.71/17.09 tff(21398,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex0) | v94(constB171) | (~v84(constB171, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex0)))),
% 25.71/17.09 inference(transitivity,[status(thm)],[21397, 21395])).
% 25.71/17.09 tff(21399,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB170, constB171)) | v84(constB170, bitIndex0) | v94(constB171) | (~v84(constB171, bitIndex0)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21400,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB170, bitIndex0) | (~nextState(constB170, constB171)) | v94(constB171) | (~v84(constB171, bitIndex0))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21399, 21398])).
% 25.71/17.09 tff(21401,plain,
% 25.71/17.09 (v84(constB170, bitIndex0) | v94(constB171) | (~v84(constB171, bitIndex0))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21400, 147, 20553])).
% 25.71/17.09 tff(21402,plain,
% 25.71/17.09 (v84(constB170, bitIndex0) | (~v84(constB171, bitIndex0))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21401, 20565])).
% 25.71/17.09 tff(21403,plain,
% 25.71/17.09 (v84(constB170, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21402, 21394])).
% 25.71/17.09 tff(21404,plain,
% 25.71/17.09 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | v123(constB170, bitIndex0) | (~v94(constB170)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | v123(constB170, bitIndex0) | (~v94(constB170)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21405,plain,
% 25.71/17.09 (((~v84(constB170, bitIndex0)) | (~v94(constB170)) | v123(constB170, bitIndex0)) <=> ((~v84(constB170, bitIndex0)) | v123(constB170, bitIndex0) | (~v94(constB170)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21406,plain,
% 25.71/17.09 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~v94(constB170)) | v123(constB170, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | v123(constB170, bitIndex0) | (~v94(constB170))))),
% 25.71/17.09 inference(monotonicity,[status(thm)],[21405])).
% 25.71/17.09 tff(21407,plain,
% 25.71/17.09 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~v94(constB170)) | v123(constB170, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | v123(constB170, bitIndex0) | (~v94(constB170)))),
% 25.71/17.09 inference(transitivity,[status(thm)],[21406, 21404])).
% 25.71/17.09 tff(21408,plain,
% 25.71/17.09 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB170, bitIndex0)) | (~v94(constB170)) | v123(constB170, bitIndex0))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21409,plain,
% 25.71/17.09 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB170, bitIndex0)) | v123(constB170, bitIndex0) | (~v94(constB170))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21408, 21407])).
% 25.71/17.09 tff(21410,plain,
% 25.71/17.09 ((~v84(constB170, bitIndex0)) | v123(constB170, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21409, 923, 21118])).
% 25.71/17.09 tff(21411,plain,
% 25.71/17.09 (v123(constB170, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21410, 21403])).
% 25.71/17.09 tff(21412,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex0) | (~v123(constB170, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex0) | (~v123(constB170, bitIndex0)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21413,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB169, constB170)) | v121(constB169, bitIndex0) | (~v123(constB170, bitIndex0)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21414,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB169, constB170)) | v121(constB169, bitIndex0) | (~v123(constB170, bitIndex0))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21413, 21412])).
% 25.71/17.09 tff(21415,plain,
% 25.71/17.09 (v121(constB169, bitIndex0) | (~v123(constB170, bitIndex0))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21414, 908, 20439])).
% 25.71/17.09 tff(21416,plain,
% 25.71/17.09 (v121(constB169, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21415, 21411])).
% 25.71/17.09 tff(21417,plain,
% 25.71/17.09 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB169)) | (~v121(constB169, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB169)) | (~v121(constB169, bitIndex0)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21418,plain,
% 25.71/17.09 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | ((~v26(constB169)) | (~v121(constB169, bitIndex0)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21419,plain,
% 25.71/17.09 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | (~v121(VarCurr, bitIndex0)))) | (~v26(constB169)) | (~v121(constB169, bitIndex0))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21418, 21417])).
% 25.71/17.09 tff(21420,plain,
% 25.71/17.09 ($false),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21419, 2385, 21416, 21385])).
% 25.71/17.09 tff(21421,plain,(v94(constB172) | v124(constB169, bitIndex2) | (~v94(constB170)) | (~v84(constB172, bitIndex0)) | (~v84(constB172, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 25.71/17.09 tff(21422,plain,
% 25.71/17.09 (v94(constB172)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21421, 21370, 21118, 20422, 21360])).
% 25.71/17.09 tff(21423,plain,
% 25.71/17.09 (v123(constB172, bitIndex0) | (~v94(constB172))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20843, 923, 21370])).
% 25.71/17.09 tff(21424,plain,
% 25.71/17.09 (v123(constB172, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21423, 21422])).
% 25.71/17.09 tff(21425,plain,
% 25.71/17.09 (v121(constB171, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20836, 21424])).
% 25.71/17.09 tff(21426,plain,
% 25.71/17.09 (v124(constB171, bitIndex0)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20831, 21425])).
% 25.71/17.09 tff(21427,plain,
% 25.71/17.09 (~v145(constB171)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[20823, 876, 21426])).
% 25.71/17.09 tff(21428,assumption,(v84(constB174, bitIndex1)), introduced(assumption)).
% 25.71/17.09 tff(21429,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB173, bitIndex1) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB173, bitIndex1) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex1)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21430,plain,
% 25.71/17.09 (((~nextState(constB173, constB174)) | v84(constB173, bitIndex1) | v94(constB174) | (~v84(constB174, bitIndex1))) <=> (v84(constB173, bitIndex1) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex1)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21431,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB173, constB174)) | v84(constB173, bitIndex1) | v94(constB174) | (~v84(constB174, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB173, bitIndex1) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex1))))),
% 25.71/17.09 inference(monotonicity,[status(thm)],[21430])).
% 25.71/17.09 tff(21432,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB173, constB174)) | v84(constB173, bitIndex1) | v94(constB174) | (~v84(constB174, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB173, bitIndex1) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex1)))),
% 25.71/17.09 inference(transitivity,[status(thm)],[21431, 21429])).
% 25.71/17.09 tff(21433,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB173, constB174)) | v84(constB173, bitIndex1) | v94(constB174) | (~v84(constB174, bitIndex1)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21434,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB173, bitIndex1) | (~nextState(constB173, constB174)) | v94(constB174) | (~v84(constB174, bitIndex1))),
% 25.71/17.09 inference(modus_ponens,[status(thm)],[21433, 21432])).
% 25.71/17.09 tff(21435,plain,
% 25.71/17.09 (v84(constB173, bitIndex1) | v94(constB174) | (~v84(constB174, bitIndex1))),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21434, 126, 20909])).
% 25.71/17.09 tff(21436,plain,
% 25.71/17.09 (v84(constB173, bitIndex1)),
% 25.71/17.09 inference(unit_resolution,[status(thm)],[21435, 21351, 21428])).
% 25.71/17.09 tff(21437,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21438,plain,
% 25.71/17.09 (((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1))) <=> (v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 25.71/17.09 inference(rewrite,[status(thm)],[])).
% 25.71/17.09 tff(21439,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1))))),
% 25.71/17.09 inference(monotonicity,[status(thm)],[21438])).
% 25.71/17.09 tff(21440,plain,
% 25.71/17.09 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 25.71/17.09 inference(transitivity,[status(thm)],[21439, 21437])).
% 25.71/17.09 tff(21441,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB172, constB173)) | v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1)))),
% 25.71/17.09 inference(quant_inst,[status(thm)],[])).
% 25.71/17.09 tff(21442,plain,
% 25.71/17.09 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB172, bitIndex1) | (~nextState(constB172, constB173)) | v94(constB173) | (~v84(constB173, bitIndex1))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21441, 21440])).
% 25.71/17.10 tff(21443,plain,
% 25.71/17.10 (v84(constB172, bitIndex1) | v94(constB173) | (~v84(constB173, bitIndex1))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21442, 126, 20768])).
% 25.71/17.10 tff(21444,plain,
% 25.71/17.10 (v84(constB172, bitIndex1) | (~v84(constB173, bitIndex1))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21443, 20780])).
% 25.71/17.10 tff(21445,plain,
% 25.71/17.10 (v84(constB172, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21444, 21436])).
% 25.71/17.10 tff(21446,plain,
% 25.71/17.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21447,plain,
% 25.71/17.10 (((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1)) <=> ((~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21448,plain,
% 25.71/17.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172))))),
% 25.71/17.10 inference(monotonicity,[status(thm)],[21447])).
% 25.71/17.10 tff(21449,plain,
% 25.71/17.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172)))),
% 25.71/17.10 inference(transitivity,[status(thm)],[21448, 21446])).
% 25.71/17.10 tff(21450,plain,
% 25.71/17.10 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB172, bitIndex1)) | (~v94(constB172)) | v123(constB172, bitIndex1))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21451,plain,
% 25.71/17.10 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB172, bitIndex1)) | v123(constB172, bitIndex1) | (~v94(constB172))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21450, 21449])).
% 25.71/17.10 tff(21452,plain,
% 25.71/17.10 (v123(constB172, bitIndex1) | (~v94(constB172))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21451, 509, 21445])).
% 25.71/17.10 tff(21453,plain,
% 25.71/17.10 (v123(constB172, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21452, 21422])).
% 25.71/17.10 tff(21454,plain,
% 25.71/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21455,plain,
% 25.71/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21456,plain,
% 25.71/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB171, constB172)) | v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21455, 21454])).
% 25.71/17.10 tff(21457,plain,
% 25.71/17.10 (v121(constB171, bitIndex1) | (~v123(constB172, bitIndex1))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21456, 494, 20706])).
% 25.71/17.10 tff(21458,plain,
% 25.71/17.10 (v121(constB171, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21457, 21453])).
% 25.71/17.10 tff(21459,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21460,plain,
% 25.71/17.10 ((v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1))) <=> ((~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21461,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1)))),
% 25.71/17.10 inference(monotonicity,[status(thm)],[21460])).
% 25.71/17.10 tff(21462,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1))),
% 25.71/17.10 inference(transitivity,[status(thm)],[21461, 21459])).
% 25.71/17.10 tff(21463,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB171) | v124(constB171, bitIndex1) | (~v121(constB171, bitIndex1)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21464,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB171, bitIndex1)) | v26(constB171) | v124(constB171, bitIndex1)),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21463, 21462])).
% 25.71/17.10 tff(21465,plain,
% 25.71/17.10 ((~v121(constB171, bitIndex1)) | v124(constB171, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21464, 476, 20691])).
% 25.71/17.10 tff(21466,plain,
% 25.71/17.10 (v124(constB171, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21465, 21458])).
% 25.71/17.10 tff(21467,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB171)) | (~v124(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB171)) | (~v124(constB171, bitIndex1)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21468,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB171)) | (~v124(constB171, bitIndex1)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21469,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB171)) | (~v124(constB171, bitIndex1))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21468, 21467])).
% 25.71/17.10 tff(21470,plain,
% 25.71/17.10 (~v113(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21469, 462, 21466])).
% 25.71/17.10 tff(21471,plain,
% 25.71/17.10 (v123(constB172, bitIndex2) | (~v94(constB172))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20760, 423, 21360])).
% 25.71/17.10 tff(21472,plain,
% 25.71/17.10 (v123(constB172, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21471, 21422])).
% 25.71/17.10 tff(21473,plain,
% 25.71/17.10 (v121(constB171, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20756, 21472])).
% 25.71/17.10 tff(21474,plain,
% 25.71/17.10 (v124(constB171, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20751, 21473])).
% 25.71/17.10 tff(21475,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB171)) | (~v124(constB171, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB171)) | (~v124(constB171, bitIndex2)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21476,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB171)) | (~v124(constB171, bitIndex2)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21477,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB171)) | (~v124(constB171, bitIndex2))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21476, 21475])).
% 25.71/17.10 tff(21478,plain,
% 25.71/17.10 (~v115(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21477, 1046, 21474])).
% 25.71/17.10 tff(21479,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB171)) | (~v124(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB171)) | (~v124(constB171, bitIndex0)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21480,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB171)) | (~v124(constB171, bitIndex0)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21481,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB171)) | (~v124(constB171, bitIndex0))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21480, 21479])).
% 25.71/17.10 tff(21482,plain,
% 25.71/17.10 (~v118(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21481, 1855, 21426])).
% 25.71/17.10 tff(21483,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB171)) | (~v124(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB171)) | (~v124(constB171, bitIndex1)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21484,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB171)) | (~v124(constB171, bitIndex1)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21485,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB171)) | (~v124(constB171, bitIndex1))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21484, 21483])).
% 25.71/17.10 tff(21486,plain,
% 25.71/17.10 (~v172(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21485, 1595, 21466])).
% 25.71/17.10 tff(21487,assumption,(v116(constB171)), introduced(assumption)).
% 25.71/17.10 tff(21488,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB171) | (~v116(constB171)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB171) | (~v116(constB171)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21489,plain,
% 25.71/17.10 (((~v116(constB171)) | v110(constB171)) <=> (v110(constB171) | (~v116(constB171)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21490,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB171)) | v110(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB171) | (~v116(constB171))))),
% 25.71/17.10 inference(monotonicity,[status(thm)],[21489])).
% 25.71/17.10 tff(21491,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB171)) | v110(constB171))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB171) | (~v116(constB171)))),
% 25.71/17.10 inference(transitivity,[status(thm)],[21490, 21488])).
% 25.71/17.10 tff(21492,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB171)) | v110(constB171))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21493,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB171) | (~v116(constB171))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21492, 21491])).
% 25.71/17.10 tff(21494,plain,
% 25.71/17.10 (v110(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21493, 1192, 21487])).
% 25.71/17.10 tff(21495,plain,
% 25.71/17.10 (v109(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20675, 221, 21494])).
% 25.71/17.10 tff(21496,plain,
% 25.71/17.10 (v108(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20682, 235, 21495])).
% 25.71/17.10 tff(21497,plain,
% 25.71/17.10 (v107(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20686, 249, 21496])).
% 25.71/17.10 tff(21498,plain,
% 25.71/17.10 (v106(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20695, 21497])).
% 25.71/17.10 tff(21499,plain,
% 25.71/17.10 (v102(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20702, 275, 21498])).
% 25.71/17.10 tff(21500,plain,
% 25.71/17.10 (v104(constB172)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20713, 21499])).
% 25.71/17.10 tff(21501,plain,
% 25.71/17.10 (v94(constB172)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20739, 21500])).
% 25.71/17.10 tff(21502,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB171)) | v124(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB171)) | v124(constB171, bitIndex2))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21503,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB171)) | v124(constB171, bitIndex2))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21504,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB171)) | v124(constB171, bitIndex2)),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21503, 21502])).
% 25.71/17.10 tff(21505,plain,
% 25.71/17.10 (v124(constB171, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21504, 1273, 21487])).
% 25.71/17.10 tff(21506,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21507,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21508,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB171) | (~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2)),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21507, 21506])).
% 25.71/17.10 tff(21509,plain,
% 25.71/17.10 ((~v124(constB171, bitIndex2)) | v121(constB171, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21508, 1287, 20691])).
% 25.71/17.10 tff(21510,plain,
% 25.71/17.10 (v121(constB171, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21509, 21505])).
% 25.71/17.10 tff(21511,plain,
% 25.71/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21512,plain,
% 25.71/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21513,plain,
% 25.71/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB171, constB172)) | (~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2)),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21512, 21511])).
% 25.71/17.10 tff(21514,plain,
% 25.71/17.10 ((~v121(constB171, bitIndex2)) | v123(constB172, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21513, 1302, 20706])).
% 25.71/17.10 tff(21515,plain,
% 25.71/17.10 (v123(constB172, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21514, 21510])).
% 25.71/17.10 tff(21516,plain,
% 25.71/17.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21517,plain,
% 25.71/17.10 ((v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2))) <=> (v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21518,plain,
% 25.71/17.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172))))),
% 25.71/17.10 inference(monotonicity,[status(thm)],[21517])).
% 25.71/17.10 tff(21519,plain,
% 25.71/17.10 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172)))),
% 25.71/17.10 inference(transitivity,[status(thm)],[21518, 21516])).
% 25.71/17.10 tff(21520,plain,
% 25.71/17.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB172, bitIndex2) | (~v94(constB172)) | (~v123(constB172, bitIndex2)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21521,plain,
% 25.71/17.10 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB172, bitIndex2) | (~v123(constB172, bitIndex2)) | (~v94(constB172))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21520, 21519])).
% 25.71/17.10 tff(21522,plain,
% 25.71/17.10 (v84(constB172, bitIndex2) | (~v94(constB172))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21521, 1317, 21515])).
% 25.71/17.10 tff(21523,plain,
% 25.71/17.10 (v84(constB172, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21522, 21501])).
% 25.71/17.10 tff(21524,plain,
% 25.71/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21525,plain,
% 25.71/17.10 (((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2)) <=> ((~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21526,plain,
% 25.71/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2)))),
% 25.71/17.10 inference(monotonicity,[status(thm)],[21525])).
% 25.71/17.10 tff(21527,plain,
% 25.71/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2))),
% 25.71/17.10 inference(transitivity,[status(thm)],[21526, 21524])).
% 25.71/17.10 tff(21528,plain,
% 25.71/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB172, constB173)) | (~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21529,plain,
% 25.71/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB172, bitIndex2)) | (~nextState(constB172, constB173)) | v94(constB173) | v84(constB173, bitIndex2)),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21528, 21527])).
% 25.71/17.10 tff(21530,plain,
% 25.71/17.10 ((~v84(constB172, bitIndex2)) | v94(constB173) | v84(constB173, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21529, 1353, 20768])).
% 25.71/17.10 tff(21531,plain,
% 25.71/17.10 ((~v84(constB172, bitIndex2)) | v84(constB173, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21530, 20780])).
% 25.71/17.10 tff(21532,plain,
% 25.71/17.10 (v84(constB173, bitIndex2)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21531, 21523])).
% 25.71/17.10 tff(21533,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB171)) | (~v124(constB171, bitIndex1)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21534,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex1)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21535,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB171)) | (~v124(constB171, bitIndex1))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21534, 21533])).
% 25.71/17.10 tff(21536,plain,
% 25.71/17.10 (~v124(constB171, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21535, 1369, 21487])).
% 25.71/17.10 tff(21537,plain,
% 25.71/17.10 (~v121(constB171, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21465, 21536])).
% 25.71/17.10 tff(21538,plain,
% 25.71/17.10 (~v123(constB172, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21457, 21537])).
% 25.71/17.10 tff(21539,plain,
% 25.71/17.10 ((~v84(constB172, bitIndex1)) | (~v94(constB172))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21451, 509, 21538])).
% 25.71/17.10 tff(21540,plain,
% 25.71/17.10 (~v84(constB172, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21539, 21501])).
% 25.71/17.10 tff(21541,plain,
% 25.71/17.10 (~v84(constB173, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21444, 21540])).
% 25.71/17.10 tff(21542,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB171)) | (~v124(constB171, bitIndex0)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21543,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB171)) | (~v124(constB171, bitIndex0)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21544,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB171)) | (~v124(constB171, bitIndex0))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21543, 21542])).
% 25.71/17.10 tff(21545,plain,
% 25.71/17.10 (~v124(constB171, bitIndex0)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21544, 1410, 21487])).
% 25.71/17.10 tff(21546,plain,
% 25.71/17.10 (~v121(constB171, bitIndex0)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20831, 21545])).
% 25.71/17.10 tff(21547,plain,
% 25.71/17.10 (~v123(constB172, bitIndex0)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20836, 21546])).
% 25.71/17.10 tff(21548,plain,
% 25.71/17.10 ((~v84(constB172, bitIndex0)) | (~v94(constB172))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20843, 923, 21547])).
% 25.71/17.10 tff(21549,plain,
% 25.71/17.10 (~v84(constB172, bitIndex0)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21548, 21501])).
% 25.71/17.10 tff(21550,plain,
% 25.71/17.10 (~v84(constB173, bitIndex0)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[20853, 21549])).
% 25.71/17.10 tff(21551,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21552,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21553,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB173, bitIndex0) | v84(constB173, bitIndex1) | (~v84(constB173, bitIndex2)) | v172(constB173)),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21552, 21551])).
% 25.71/17.10 tff(21554,plain,
% 25.71/17.10 (v172(constB173)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21553, 1454, 21550, 21541, 21532])).
% 25.71/17.10 tff(21555,plain,
% 25.71/17.10 (v94(constB174)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21368, 21550, 21361])).
% 25.71/17.10 tff(21556,plain,
% 25.71/17.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | v123(constB174, bitIndex1) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | v123(constB174, bitIndex1) | (~v94(constB174)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21557,plain,
% 25.71/17.10 (((~v84(constB174, bitIndex1)) | (~v94(constB174)) | v123(constB174, bitIndex1)) <=> ((~v84(constB174, bitIndex1)) | v123(constB174, bitIndex1) | (~v94(constB174)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21558,plain,
% 25.71/17.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~v94(constB174)) | v123(constB174, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | v123(constB174, bitIndex1) | (~v94(constB174))))),
% 25.71/17.10 inference(monotonicity,[status(thm)],[21557])).
% 25.71/17.10 tff(21559,plain,
% 25.71/17.10 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~v94(constB174)) | v123(constB174, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | v123(constB174, bitIndex1) | (~v94(constB174)))),
% 25.71/17.10 inference(transitivity,[status(thm)],[21558, 21556])).
% 25.71/17.10 tff(21560,plain,
% 25.71/17.10 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB174, bitIndex1)) | (~v94(constB174)) | v123(constB174, bitIndex1))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21561,plain,
% 25.71/17.10 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB174, bitIndex1)) | v123(constB174, bitIndex1) | (~v94(constB174))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21560, 21559])).
% 25.71/17.10 tff(21562,plain,
% 25.71/17.10 (v123(constB174, bitIndex1) | (~v94(constB174))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21561, 509, 21428])).
% 25.71/17.10 tff(21563,plain,
% 25.71/17.10 (v123(constB174, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21562, 21555])).
% 25.71/17.10 tff(21564,plain,
% 25.71/17.10 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex1) | (~v123(constB174, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex1) | (~v123(constB174, bitIndex1)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21565,plain,
% 25.71/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex1) | (~v123(constB174, bitIndex1)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21566,plain,
% 25.71/17.10 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex1) | (~v123(constB174, bitIndex1))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21565, 21564])).
% 25.71/17.10 tff(21567,plain,
% 25.71/17.10 (v121(constB173, bitIndex1) | (~v123(constB174, bitIndex1))),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21566, 494, 20909])).
% 25.71/17.10 tff(21568,plain,
% 25.71/17.10 (v121(constB173, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21567, 21563])).
% 25.71/17.10 tff(21569,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB173, bitIndex1)) | v26(constB173) | v124(constB173, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB173, bitIndex1)) | v26(constB173) | v124(constB173, bitIndex1))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21570,plain,
% 25.71/17.10 ((v26(constB173) | v124(constB173, bitIndex1) | (~v121(constB173, bitIndex1))) <=> ((~v121(constB173, bitIndex1)) | v26(constB173) | v124(constB173, bitIndex1))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21571,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB173) | v124(constB173, bitIndex1) | (~v121(constB173, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB173, bitIndex1)) | v26(constB173) | v124(constB173, bitIndex1)))),
% 25.71/17.10 inference(monotonicity,[status(thm)],[21570])).
% 25.71/17.10 tff(21572,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB173) | v124(constB173, bitIndex1) | (~v121(constB173, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB173, bitIndex1)) | v26(constB173) | v124(constB173, bitIndex1))),
% 25.71/17.10 inference(transitivity,[status(thm)],[21571, 21569])).
% 25.71/17.10 tff(21573,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB173) | v124(constB173, bitIndex1) | (~v121(constB173, bitIndex1)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21574,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB173, bitIndex1)) | v26(constB173) | v124(constB173, bitIndex1)),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21573, 21572])).
% 25.71/17.10 tff(21575,plain,
% 25.71/17.10 ((~v121(constB173, bitIndex1)) | v124(constB173, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21574, 476, 20891])).
% 25.71/17.10 tff(21576,plain,
% 25.71/17.10 (v124(constB173, bitIndex1)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21575, 21568])).
% 25.71/17.10 tff(21577,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB173)) | (~v124(constB173, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB173)) | (~v124(constB173, bitIndex1)))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21578,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB173)) | (~v124(constB173, bitIndex1)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21579,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB173)) | (~v124(constB173, bitIndex1))),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21578, 21577])).
% 25.71/17.10 tff(21580,plain,
% 25.71/17.10 ($false),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21579, 1595, 21576, 21554])).
% 25.71/17.10 tff(21581,plain,((~v116(constB171)) | (~v84(constB174, bitIndex1)) | (~v84(constB174, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.71/17.10 tff(21582,plain,
% 25.71/17.10 (~v116(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21581, 21428, 21361])).
% 25.71/17.10 tff(21583,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB171, bitIndex1)) | v172(constB171) | v118(constB171) | v115(constB171) | v113(constB171) | v145(constB171) | v116(constB171))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB171, bitIndex1)) | v172(constB171) | v118(constB171) | v115(constB171) | v113(constB171) | v145(constB171) | v116(constB171))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21584,plain,
% 25.71/17.10 ((v113(constB171) | v145(constB171) | v115(constB171) | v116(constB171) | v172(constB171) | v118(constB171) | (~v124(constB171, bitIndex1))) <=> ((~v124(constB171, bitIndex1)) | v172(constB171) | v118(constB171) | v115(constB171) | v113(constB171) | v145(constB171) | v116(constB171))),
% 25.71/17.10 inference(rewrite,[status(thm)],[])).
% 25.71/17.10 tff(21585,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB171) | v145(constB171) | v115(constB171) | v116(constB171) | v172(constB171) | v118(constB171) | (~v124(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB171, bitIndex1)) | v172(constB171) | v118(constB171) | v115(constB171) | v113(constB171) | v145(constB171) | v116(constB171)))),
% 25.71/17.10 inference(monotonicity,[status(thm)],[21584])).
% 25.71/17.10 tff(21586,plain,
% 25.71/17.10 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB171) | v145(constB171) | v115(constB171) | v116(constB171) | v172(constB171) | v118(constB171) | (~v124(constB171, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB171, bitIndex1)) | v172(constB171) | v118(constB171) | v115(constB171) | v113(constB171) | v145(constB171) | v116(constB171))),
% 25.71/17.10 inference(transitivity,[status(thm)],[21585, 21583])).
% 25.71/17.10 tff(21587,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB171) | v145(constB171) | v115(constB171) | v116(constB171) | v172(constB171) | v118(constB171) | (~v124(constB171, bitIndex1)))),
% 25.71/17.10 inference(quant_inst,[status(thm)],[])).
% 25.71/17.10 tff(21588,plain,
% 25.71/17.10 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB171, bitIndex1)) | v172(constB171) | v118(constB171) | v115(constB171) | v113(constB171) | v145(constB171) | v116(constB171)),
% 25.71/17.10 inference(modus_ponens,[status(thm)],[21587, 21586])).
% 25.71/17.10 tff(21589,plain,
% 25.71/17.10 ((~v124(constB171, bitIndex1)) | v172(constB171) | v118(constB171) | v115(constB171) | v113(constB171) | v145(constB171)),
% 25.71/17.10 inference(unit_resolution,[status(thm)],[21588, 2105, 21582])).
% 25.71/17.11 tff(21590,plain,
% 25.71/17.11 ($false),
% 25.71/17.11 inference(unit_resolution,[status(thm)],[21589, 21486, 21482, 21466, 21478, 21470, 21427])).
% 25.71/17.11 tff(21591,plain,(v94(constB174) | (~v94(constB170)) | v124(constB169, bitIndex2) | (~v84(constB174, bitIndex2)) | (~v84(constB174, bitIndex1)) | (~v84(constB174, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.71/17.11 tff(21592,plain,
% 25.71/17.11 (v94(constB174)),
% 25.71/17.11 inference(unit_resolution,[status(thm)],[21591, 21349, 20422, 21118, 21345, 21336])).
% 25.71/17.11 tff(21593,plain,
% 25.71/17.11 (v123(constB174, bitIndex1) | (~v94(constB174))),
% 25.71/17.11 inference(unit_resolution,[status(thm)],[21561, 509, 21345])).
% 25.71/17.11 tff(21594,plain,
% 25.71/17.11 (v123(constB174, bitIndex1)),
% 25.71/17.11 inference(unit_resolution,[status(thm)],[21593, 21592])).
% 25.71/17.11 tff(21595,plain,
% 25.71/17.11 (v121(constB173, bitIndex1)),
% 25.71/17.11 inference(unit_resolution,[status(thm)],[21567, 21594])).
% 25.71/17.11 tff(21596,plain,
% 25.71/17.11 (v124(constB173, bitIndex1)),
% 25.71/17.11 inference(unit_resolution,[status(thm)],[21575, 21595])).
% 25.71/17.11 tff(21597,plain,
% 25.71/17.11 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB173)) | (~v124(constB173, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB173)) | (~v124(constB173, bitIndex1)))),
% 25.71/17.11 inference(rewrite,[status(thm)],[])).
% 25.71/17.11 tff(21598,plain,
% 25.71/17.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB173)) | (~v124(constB173, bitIndex1)))),
% 25.71/17.11 inference(quant_inst,[status(thm)],[])).
% 25.71/17.11 tff(21599,plain,
% 25.71/17.11 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB173)) | (~v124(constB173, bitIndex1))),
% 25.71/17.11 inference(modus_ponens,[status(thm)],[21598, 21597])).
% 25.71/17.11 tff(21600,plain,
% 25.71/17.11 (~v113(constB173)),
% 25.71/17.11 inference(unit_resolution,[status(thm)],[21599, 462, 21596])).
% 25.71/17.11 tff(21601,plain,
% 25.71/17.11 (~v172(constB173)),
% 25.71/17.11 inference(unit_resolution,[status(thm)],[21579, 1595, 21596])).
% 25.71/17.11 tff(21602,plain,
% 25.71/17.11 (v123(constB174, bitIndex2) | (~v94(constB174))),
% 25.71/17.11 inference(unit_resolution,[status(thm)],[20963, 423, 21349])).
% 25.79/17.11 tff(21603,plain,
% 25.79/17.11 (v123(constB174, bitIndex2)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21602, 21592])).
% 25.79/17.11 tff(21604,plain,
% 25.79/17.11 (v121(constB173, bitIndex2)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[20959, 21603])).
% 25.79/17.11 tff(21605,plain,
% 25.79/17.11 (v124(constB173, bitIndex2)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[20954, 21604])).
% 25.79/17.11 tff(21606,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB173)) | (~v124(constB173, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB173)) | (~v124(constB173, bitIndex1)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21607,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB173)) | (~v124(constB173, bitIndex1)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21608,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB173)) | (~v124(constB173, bitIndex1))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21607, 21606])).
% 25.79/17.11 tff(21609,plain,
% 25.79/17.11 (~v116(constB173)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21608, 1369, 21596])).
% 25.79/17.11 tff(21610,plain,
% 25.79/17.11 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21611,plain,
% 25.79/17.11 (((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0)) <=> ((~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21612,plain,
% 25.79/17.11 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174))))),
% 25.79/17.11 inference(monotonicity,[status(thm)],[21611])).
% 25.79/17.11 tff(21613,plain,
% 25.79/17.11 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174)))),
% 25.79/17.11 inference(transitivity,[status(thm)],[21612, 21610])).
% 25.79/17.11 tff(21614,plain,
% 25.79/17.11 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB174, bitIndex0)) | (~v94(constB174)) | v123(constB174, bitIndex0))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21615,plain,
% 25.79/17.11 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB174, bitIndex0)) | v123(constB174, bitIndex0) | (~v94(constB174))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21614, 21613])).
% 25.79/17.11 tff(21616,plain,
% 25.79/17.11 (v123(constB174, bitIndex0) | (~v94(constB174))),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21615, 923, 21336])).
% 25.79/17.11 tff(21617,plain,
% 25.79/17.11 (v123(constB174, bitIndex0)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21616, 21592])).
% 25.79/17.11 tff(21618,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21619,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21620,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB173, constB174)) | v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21619, 21618])).
% 25.79/17.11 tff(21621,plain,
% 25.79/17.11 (v121(constB173, bitIndex0) | (~v123(constB174, bitIndex0))),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21620, 908, 20909])).
% 25.79/17.11 tff(21622,plain,
% 25.79/17.11 (v121(constB173, bitIndex0)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21621, 21617])).
% 25.79/17.11 tff(21623,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21624,plain,
% 25.79/17.11 ((v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0))) <=> ((~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21625,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0)))),
% 25.79/17.11 inference(monotonicity,[status(thm)],[21624])).
% 25.79/17.11 tff(21626,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0))),
% 25.79/17.11 inference(transitivity,[status(thm)],[21625, 21623])).
% 25.79/17.11 tff(21627,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB173) | v124(constB173, bitIndex0) | (~v121(constB173, bitIndex0)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21628,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB173, bitIndex0)) | v26(constB173) | v124(constB173, bitIndex0)),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21627, 21626])).
% 25.79/17.11 tff(21629,plain,
% 25.79/17.11 ((~v121(constB173, bitIndex0)) | v124(constB173, bitIndex0)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21628, 890, 20891])).
% 25.79/17.11 tff(21630,plain,
% 25.79/17.11 (v124(constB173, bitIndex0)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21629, 21622])).
% 25.79/17.11 tff(21631,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB173)) | (~v124(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB173)) | (~v124(constB173, bitIndex0)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21632,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB173)) | (~v124(constB173, bitIndex0)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21633,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB173)) | (~v124(constB173, bitIndex0))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21632, 21631])).
% 25.79/17.11 tff(21634,plain,
% 25.79/17.11 (~v118(constB173)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21633, 1855, 21630])).
% 25.79/17.11 tff(21635,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB173)) | (~v124(constB173, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB173)) | (~v124(constB173, bitIndex0)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21636,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB173)) | (~v124(constB173, bitIndex0)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21637,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB173)) | (~v124(constB173, bitIndex0))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 25.79/17.11 tff(21638,plain,
% 25.79/17.11 (~v145(constB173)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21637, 876, 21630])).
% 25.79/17.11 tff(21639,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | (~v124(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | (~v124(constB173, bitIndex2)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21640,plain,
% 25.79/17.11 ((v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | (~v124(constB173, bitIndex2))) <=> (v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | (~v124(constB173, bitIndex2)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21641,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | (~v124(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | (~v124(constB173, bitIndex2))))),
% 25.79/17.11 inference(monotonicity,[status(thm)],[21640])).
% 25.79/17.11 tff(21642,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | (~v124(constB173, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | (~v124(constB173, bitIndex2)))),
% 25.79/17.11 inference(transitivity,[status(thm)],[21641, 21639])).
% 25.79/17.11 tff(21643,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB173) | v145(constB173) | v115(constB173) | v116(constB173) | v172(constB173) | v118(constB173) | (~v124(constB173, bitIndex2)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21644,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | v172(constB173) | v145(constB173) | v118(constB173) | v116(constB173) | v115(constB173) | v113(constB173) | (~v124(constB173, bitIndex2))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21643, 21642])).
% 25.79/17.11 tff(21645,plain,
% 25.79/17.11 (v115(constB173)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21644, 2043, 21638, 21634, 21609, 21605, 21601, 21600])).
% 25.79/17.11 tff(21646,plain,
% 25.79/17.11 ($false),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[20946, 1046, 21605, 21645])).
% 25.79/17.11 tff(21647,plain,(v107(constB175) | v124(constB169, bitIndex2) | (~v94(constB170)) | v116(constB175) | v115(constB175) | v118(constB175) | v145(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.11 tff(21648,plain,
% 25.79/17.11 (v115(constB175)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21647, 21122, 21118, 20422, 21084, 21117, 21110])).
% 25.79/17.11 tff(21649,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB175)) | v111(constB175))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB175)) | v111(constB175))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21650,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB175)) | v111(constB175))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21651,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB175)) | v111(constB175)),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21650, 21649])).
% 25.79/17.11 tff(21652,plain,
% 25.79/17.11 ($false),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21651, 961, 21648, 21109])).
% 25.79/17.11 tff(21653,plain,(v107(constB175) | (~v94(constB170)) | v124(constB169, bitIndex2) | v145(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.11 tff(21654,plain,
% 25.79/17.11 (v107(constB175)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21653, 21083, 20420, 20543])).
% 25.79/17.11 tff(21655,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB175) | (~v107(constB175)) | v106(constB175))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB175) | (~v107(constB175)) | v106(constB175))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21656,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB175) | (~v107(constB175)) | v106(constB175))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21657,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB175) | (~v107(constB175)) | v106(constB175)),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21656, 21655])).
% 25.79/17.11 tff(21658,plain,
% 25.79/17.11 ((~v107(constB175)) | v106(constB175)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21657, 263, 21066])).
% 25.79/17.11 tff(21659,plain,
% 25.79/17.11 (v106(constB175)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21658, 21654])).
% 25.79/17.11 tff(21660,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB175) | (~v106(constB175)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB175) | (~v106(constB175)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21661,plain,
% 25.79/17.11 (((~v106(constB175)) | v102(constB175)) <=> (v102(constB175) | (~v106(constB175)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21662,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB175)) | v102(constB175))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB175) | (~v106(constB175))))),
% 25.79/17.11 inference(monotonicity,[status(thm)],[21661])).
% 25.79/17.11 tff(21663,plain,
% 25.79/17.11 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB175)) | v102(constB175))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB175) | (~v106(constB175)))),
% 25.79/17.11 inference(transitivity,[status(thm)],[21662, 21660])).
% 25.79/17.11 tff(21664,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB175)) | v102(constB175))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21665,plain,
% 25.79/17.11 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB175) | (~v106(constB175))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21664, 21663])).
% 25.79/17.11 tff(21666,plain,
% 25.79/17.11 (v102(constB175)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21665, 275, 21659])).
% 25.79/17.11 tff(21667,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21668,plain,
% 25.79/17.11 (((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176)) <=> ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21669,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175))))),
% 25.79/17.11 inference(monotonicity,[status(thm)],[21668])).
% 25.79/17.11 tff(21670,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175)))),
% 25.79/17.11 inference(transitivity,[status(thm)],[21669, 21667])).
% 25.79/17.11 tff(21671,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB175, constB176)) | (~v102(constB175)) | v104(constB176))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21672,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB175, constB176)) | v104(constB176) | (~v102(constB175))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21671, 21670])).
% 25.79/17.11 tff(21673,plain,
% 25.79/17.11 (v104(constB176) | (~v102(constB175))),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21672, 295, 21074])).
% 25.79/17.11 tff(21674,plain,
% 25.79/17.11 (v104(constB176)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21673, 21666])).
% 25.79/17.11 tff(21675,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21676,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21677,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB175) | (~nextState(constB175, constB176)) | (~v98(constB176))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21676, 21675])).
% 25.79/17.11 tff(21678,plain,
% 25.79/17.11 (~v98(constB176)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21677, 313, 21074, 20968])).
% 25.79/17.11 tff(21679,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21680,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB175, constB176)) | v96(constB176) | v98(constB176))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21681,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB175, constB176)) | v96(constB176) | v98(constB176)),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21680, 21679])).
% 25.79/17.11 tff(21682,plain,
% 25.79/17.11 (v96(constB176) | v98(constB176)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21681, 327, 21074])).
% 25.79/17.11 tff(21683,plain,
% 25.79/17.11 (v96(constB176)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21682, 21678])).
% 25.79/17.11 tff(21684,plain,
% 25.79/17.11 (v1(constB176) <=> v1(constB176)),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21685,axiom,(v1(constB176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_176_1')).
% 25.79/17.11 tff(21686,plain,
% 25.79/17.11 (v1(constB176)),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21685, 21684])).
% 25.79/17.11 tff(21687,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21688,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21689,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB175, constB176)) | v95(constB176) | (~v96(constB176)) | (~v1(constB176))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 25.79/17.11 tff(21690,plain,
% 25.79/17.11 (v95(constB176) | (~v96(constB176))),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21689, 345, 21074, 21686])).
% 25.79/17.11 tff(21691,plain,
% 25.79/17.11 (v95(constB176)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21690, 21683])).
% 25.79/17.11 tff(21692,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21693,plain,
% 25.79/17.11 (((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176)) <=> ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21694,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176))))),
% 25.79/17.11 inference(monotonicity,[status(thm)],[21693])).
% 25.79/17.11 tff(21695,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176)))),
% 25.79/17.11 inference(transitivity,[status(thm)],[21694, 21692])).
% 25.79/17.11 tff(21696,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB175, constB176)) | (~v95(constB176)) | (~v104(constB176)) | v94(constB176))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21697,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB175, constB176)) | v94(constB176) | (~v95(constB176)) | (~v104(constB176))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21696, 21695])).
% 25.79/17.11 tff(21698,plain,
% 25.79/17.11 (v94(constB176) | (~v95(constB176)) | (~v104(constB176))),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21697, 360, 21074])).
% 25.79/17.11 tff(21699,plain,
% 25.79/17.11 (v94(constB176) | (~v104(constB176))),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21698, 21691])).
% 25.79/17.11 tff(21700,plain,
% 25.79/17.11 (v94(constB176)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21699, 21674])).
% 25.79/17.11 tff(21701,plain,
% 25.79/17.11 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21702,plain,
% 25.79/17.11 ((v84(constB176, bitIndex2) | (~v94(constB176)) | (~v123(constB176, bitIndex2))) <=> (v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21703,plain,
% 25.79/17.11 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v94(constB176)) | (~v123(constB176, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176))))),
% 25.79/17.11 inference(monotonicity,[status(thm)],[21702])).
% 25.79/17.11 tff(21704,plain,
% 25.79/17.11 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v94(constB176)) | (~v123(constB176, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176)))),
% 25.79/17.11 inference(transitivity,[status(thm)],[21703, 21701])).
% 25.79/17.11 tff(21705,plain,
% 25.79/17.11 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~v94(constB176)) | (~v123(constB176, bitIndex2)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21706,plain,
% 25.79/17.11 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2)) | (~v94(constB176))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21705, 21704])).
% 25.79/17.11 tff(21707,plain,
% 25.79/17.11 (v84(constB176, bitIndex2)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21706, 1317, 21700, 21079])).
% 25.79/17.11 tff(21708,plain,
% 25.79/17.11 ((~v1(constB177)) <=> (~v1(constB177))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21709,axiom,(~v1(constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_177_1_1')).
% 25.79/17.11 tff(21710,plain,
% 25.79/17.11 (~v1(constB177)),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21709, 21708])).
% 25.79/17.11 tff(21711,plain,
% 25.79/17.11 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21712,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_176_1')).
% 25.79/17.11 tff(21713,plain,
% 25.79/17.11 (nextState(constB176, constB177)),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21712, 21711])).
% 25.79/17.11 tff(21714,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21715,plain,
% 25.79/17.11 (((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177)) <=> (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21716,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177))))),
% 25.79/17.11 inference(monotonicity,[status(thm)],[21715])).
% 25.79/17.11 tff(21717,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177)))),
% 25.79/17.11 inference(transitivity,[status(thm)],[21716, 21714])).
% 25.79/17.11 tff(21718,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB176, constB177)) | (~v95(constB177)) | v1(constB177))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21719,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB177) | (~nextState(constB176, constB177)) | (~v95(constB177))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21718, 21717])).
% 25.79/17.11 tff(21720,plain,
% 25.79/17.11 (~v95(constB177)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21719, 73, 21713, 21710])).
% 25.79/17.11 tff(21721,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21722,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177)))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21723,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB176, constB177)) | v95(constB177) | (~v94(constB177))),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21722, 21721])).
% 25.79/17.11 tff(21724,plain,
% 25.79/17.11 (v95(constB177) | (~v94(constB177))),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21723, 90, 21713])).
% 25.79/17.11 tff(21725,plain,
% 25.79/17.11 (~v94(constB177)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21724, 21720])).
% 25.79/17.11 tff(21726,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21727,plain,
% 25.79/17.11 (((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2)) <=> ((~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2))),
% 25.79/17.11 inference(rewrite,[status(thm)],[])).
% 25.79/17.11 tff(21728,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2)))),
% 25.79/17.11 inference(monotonicity,[status(thm)],[21727])).
% 25.79/17.11 tff(21729,plain,
% 25.79/17.11 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2))),
% 25.79/17.11 inference(transitivity,[status(thm)],[21728, 21726])).
% 25.79/17.11 tff(21730,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2))),
% 25.79/17.11 inference(quant_inst,[status(thm)],[])).
% 25.79/17.11 tff(21731,plain,
% 25.79/17.11 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB176, bitIndex2)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex2)),
% 25.79/17.11 inference(modus_ponens,[status(thm)],[21730, 21729])).
% 25.79/17.11 tff(21732,plain,
% 25.79/17.11 ((~v84(constB176, bitIndex2)) | v94(constB177) | v84(constB177, bitIndex2)),
% 25.79/17.11 inference(unit_resolution,[status(thm)],[21731, 1353, 21713])).
% 25.79/17.11 tff(21733,plain,
% 25.79/17.12 ((~v84(constB176, bitIndex2)) | v84(constB177, bitIndex2)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21732, 21725])).
% 25.79/17.12 tff(21734,plain,
% 25.79/17.12 (v84(constB177, bitIndex2)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21733, 21707])).
% 25.79/17.12 tff(21735,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB175)) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB175)) | (~v124(constB175, bitIndex1)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21736,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB175)) | (~v124(constB175, bitIndex1)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21737,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB175)) | (~v124(constB175, bitIndex1))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21736, 21735])).
% 25.79/17.12 tff(21738,plain,
% 25.79/17.12 (~v124(constB175, bitIndex1)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21737, 1369, 21058])).
% 25.79/17.12 tff(21739,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21740,plain,
% 25.79/17.12 ((v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1))) <=> ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21741,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1)))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21740])).
% 25.79/17.12 tff(21742,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21741, 21739])).
% 25.79/17.12 tff(21743,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB175) | v124(constB175, bitIndex1) | (~v121(constB175, bitIndex1)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21744,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB175, bitIndex1)) | v26(constB175) | v124(constB175, bitIndex1)),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21743, 21742])).
% 25.79/17.12 tff(21745,plain,
% 25.79/17.12 ((~v121(constB175, bitIndex1)) | v124(constB175, bitIndex1)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21744, 476, 21066])).
% 25.79/17.12 tff(21746,plain,
% 25.79/17.12 (~v121(constB175, bitIndex1)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21745, 21738])).
% 25.79/17.12 tff(21747,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21748,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21749,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 25.79/17.12 tff(21750,plain,
% 25.79/17.12 (v121(constB175, bitIndex1) | (~v123(constB176, bitIndex1))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21749, 494, 21074])).
% 25.79/17.12 tff(21751,plain,
% 25.79/17.12 (~v123(constB176, bitIndex1)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21750, 21746])).
% 25.79/17.12 tff(21752,plain,
% 25.79/17.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21753,plain,
% 25.79/17.12 (((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1)) <=> ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21754,plain,
% 25.79/17.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21753])).
% 25.79/17.12 tff(21755,plain,
% 25.79/17.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21754, 21752])).
% 25.79/17.12 tff(21756,plain,
% 25.79/17.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~v94(constB176)) | v123(constB176, bitIndex1))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21757,plain,
% 25.79/17.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1) | (~v94(constB176))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21756, 21755])).
% 25.79/17.12 tff(21758,plain,
% 25.79/17.12 (~v84(constB176, bitIndex1)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21757, 509, 21700, 21751])).
% 25.79/17.12 tff(21759,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21760,plain,
% 25.79/17.12 (((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1))) <=> (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21761,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21760])).
% 25.79/17.12 tff(21762,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21761, 21759])).
% 25.79/17.12 tff(21763,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21764,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex1))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21763, 21762])).
% 25.79/17.12 tff(21765,plain,
% 25.79/17.12 (v84(constB176, bitIndex1) | v94(constB177) | (~v84(constB177, bitIndex1))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21764, 126, 21713])).
% 25.79/17.12 tff(21766,plain,
% 25.79/17.12 (v84(constB176, bitIndex1) | (~v84(constB177, bitIndex1))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21765, 21725])).
% 25.79/17.12 tff(21767,plain,
% 25.79/17.12 (~v84(constB177, bitIndex1)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21766, 21758])).
% 25.79/17.12 tff(21768,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB175)) | (~v124(constB175, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB175)) | (~v124(constB175, bitIndex0)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21769,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB175)) | (~v124(constB175, bitIndex0)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21770,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB175)) | (~v124(constB175, bitIndex0))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21769, 21768])).
% 25.79/17.12 tff(21771,plain,
% 25.79/17.12 (~v124(constB175, bitIndex0)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21770, 1410, 21058])).
% 25.79/17.12 tff(21772,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21773,plain,
% 25.79/17.12 ((v26(constB175) | v124(constB175, bitIndex0) | (~v121(constB175, bitIndex0))) <=> ((~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21774,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB175) | v124(constB175, bitIndex0) | (~v121(constB175, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0)))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21773])).
% 25.79/17.12 tff(21775,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB175) | v124(constB175, bitIndex0) | (~v121(constB175, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21774, 21772])).
% 25.79/17.12 tff(21776,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB175) | v124(constB175, bitIndex0) | (~v121(constB175, bitIndex0)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21777,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB175, bitIndex0)) | v26(constB175) | v124(constB175, bitIndex0)),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21776, 21775])).
% 25.79/17.12 tff(21778,plain,
% 25.79/17.12 ((~v121(constB175, bitIndex0)) | v124(constB175, bitIndex0)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21777, 890, 21066])).
% 25.79/17.12 tff(21779,plain,
% 25.79/17.12 (~v121(constB175, bitIndex0)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21778, 21771])).
% 25.79/17.12 tff(21780,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21781,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21782,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21781, 21780])).
% 25.79/17.12 tff(21783,plain,
% 25.79/17.12 (v121(constB175, bitIndex0) | (~v123(constB176, bitIndex0))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21782, 908, 21074])).
% 25.79/17.12 tff(21784,plain,
% 25.79/17.12 (~v123(constB176, bitIndex0)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21783, 21779])).
% 25.79/17.12 tff(21785,plain,
% 25.79/17.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21786,plain,
% 25.79/17.12 (((~v84(constB176, bitIndex0)) | (~v94(constB176)) | v123(constB176, bitIndex0)) <=> ((~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21787,plain,
% 25.79/17.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~v94(constB176)) | v123(constB176, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21786])).
% 25.79/17.12 tff(21788,plain,
% 25.79/17.12 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~v94(constB176)) | v123(constB176, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21787, 21785])).
% 25.79/17.12 tff(21789,plain,
% 25.79/17.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~v94(constB176)) | v123(constB176, bitIndex0))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21790,plain,
% 25.79/17.12 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0) | (~v94(constB176))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21789, 21788])).
% 25.79/17.12 tff(21791,plain,
% 25.79/17.12 (~v84(constB176, bitIndex0)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21790, 923, 21700, 21784])).
% 25.79/17.12 tff(21792,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21793,plain,
% 25.79/17.12 (((~nextState(constB176, constB177)) | v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0))) <=> (v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21794,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21793])).
% 25.79/17.12 tff(21795,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21794, 21792])).
% 25.79/17.12 tff(21796,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21797,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex0))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21796, 21795])).
% 25.79/17.12 tff(21798,plain,
% 25.79/17.12 (v84(constB176, bitIndex0) | v94(constB177) | (~v84(constB177, bitIndex0))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21797, 147, 21713])).
% 25.79/17.12 tff(21799,plain,
% 25.79/17.12 (v84(constB176, bitIndex0) | (~v84(constB177, bitIndex0))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21798, 21725])).
% 25.79/17.12 tff(21800,plain,
% 25.79/17.12 (~v84(constB177, bitIndex0)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21799, 21791])).
% 25.79/17.12 tff(21801,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)) | v172(constB177))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)) | v172(constB177))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21802,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)) | v172(constB177))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21803,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)) | v172(constB177)),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21802, 21801])).
% 25.79/17.12 tff(21804,plain,
% 25.79/17.12 (v172(constB177)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21803, 1454, 21800, 21767, 21734])).
% 25.79/17.12 tff(21805,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB177) | (~v172(constB177)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB177) | (~v172(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21806,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB177) | (~v172(constB177)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21807,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB177) | (~v172(constB177))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21806, 21805])).
% 25.79/17.12 tff(21808,plain,
% 25.79/17.12 (v109(constB177)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21807, 1468, 21804])).
% 25.79/17.12 tff(21809,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v109(constB177)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v109(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21810,plain,
% 25.79/17.12 (((~v109(constB177)) | v108(constB177)) <=> (v108(constB177) | (~v109(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21811,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB177) | (~v109(constB177))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21810])).
% 25.79/17.12 tff(21812,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB177)) | v108(constB177))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v109(constB177)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21811, 21809])).
% 25.79/17.12 tff(21813,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB177)) | v108(constB177))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21814,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB177) | (~v109(constB177))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21813, 21812])).
% 25.79/17.12 tff(21815,plain,
% 25.79/17.12 (v108(constB177)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21814, 235, 21808])).
% 25.79/17.12 tff(21816,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB177) | (~v108(constB177)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB177) | (~v108(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21817,plain,
% 25.79/17.12 (((~v108(constB177)) | v107(constB177)) <=> (v107(constB177) | (~v108(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21818,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB177)) | v107(constB177))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB177) | (~v108(constB177))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21817])).
% 25.79/17.12 tff(21819,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB177)) | v107(constB177))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB177) | (~v108(constB177)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21818, 21816])).
% 25.79/17.12 tff(21820,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB177)) | v107(constB177))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21821,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB177) | (~v108(constB177))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21820, 21819])).
% 25.79/17.12 tff(21822,plain,
% 25.79/17.12 (v107(constB177)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21821, 249, 21815])).
% 25.79/17.12 tff(21823,assumption,(v26(constB177)), introduced(assumption)).
% 25.79/17.12 tff(21824,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB177))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21825,plain,
% 25.79/17.12 ($false),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21824, 18, 21823])).
% 25.79/17.12 tff(21826,plain,(~v26(constB177)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.12 tff(21827,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | v106(constB177) | (~v107(constB177)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | v106(constB177) | (~v107(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21828,plain,
% 25.79/17.12 ((v26(constB177) | (~v107(constB177)) | v106(constB177)) <=> (v26(constB177) | v106(constB177) | (~v107(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21829,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | v106(constB177) | (~v107(constB177))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21828])).
% 25.79/17.12 tff(21830,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | v106(constB177) | (~v107(constB177)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21829, 21827])).
% 25.79/17.12 tff(21831,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB177) | (~v107(constB177)) | v106(constB177))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21832,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB177) | v106(constB177) | (~v107(constB177))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21831, 21830])).
% 25.79/17.12 tff(21833,plain,
% 25.79/17.12 (v106(constB177) | (~v107(constB177))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21832, 263, 21826])).
% 25.79/17.12 tff(21834,plain,
% 25.79/17.12 (v106(constB177)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21833, 21822])).
% 25.79/17.12 tff(21835,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB177) | (~v106(constB177)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB177) | (~v106(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21836,plain,
% 25.79/17.12 (((~v106(constB177)) | v102(constB177)) <=> (v102(constB177) | (~v106(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21837,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB177)) | v102(constB177))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB177) | (~v106(constB177))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21836])).
% 25.79/17.12 tff(21838,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB177)) | v102(constB177))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB177) | (~v106(constB177)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21837, 21835])).
% 25.79/17.12 tff(21839,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB177)) | v102(constB177))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21840,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB177) | (~v106(constB177))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21839, 21838])).
% 25.79/17.12 tff(21841,plain,
% 25.79/17.12 (v102(constB177)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21840, 275, 21834])).
% 25.79/17.12 tff(21842,plain,
% 25.79/17.12 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21843,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_177_1')).
% 25.79/17.12 tff(21844,plain,
% 25.79/17.12 (nextState(constB177, constB178)),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21843, 21842])).
% 25.79/17.12 tff(21845,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21846,plain,
% 25.79/17.12 (((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178)) <=> ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21847,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21846])).
% 25.79/17.12 tff(21848,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21847, 21845])).
% 25.79/17.12 tff(21849,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB177, constB178)) | (~v102(constB177)) | v104(constB178))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21850,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB177, constB178)) | v104(constB178) | (~v102(constB177))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21849, 21848])).
% 25.79/17.12 tff(21851,plain,
% 25.79/17.12 (v104(constB178) | (~v102(constB177))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21850, 295, 21844])).
% 25.79/17.12 tff(21852,plain,
% 25.79/17.12 (v104(constB178)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21851, 21841])).
% 25.79/17.12 tff(21853,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21854,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21855,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB177) | (~nextState(constB177, constB178)) | (~v98(constB178))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 25.79/17.12 tff(21856,plain,
% 25.79/17.12 (~v98(constB178)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21855, 313, 21844, 21710])).
% 25.79/17.12 tff(21857,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21858,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB177, constB178)) | v96(constB178) | v98(constB178))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21859,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB177, constB178)) | v96(constB178) | v98(constB178)),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21858, 21857])).
% 25.79/17.12 tff(21860,plain,
% 25.79/17.12 (v96(constB178) | v98(constB178)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21859, 327, 21844])).
% 25.79/17.12 tff(21861,plain,
% 25.79/17.12 (v96(constB178)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21860, 21856])).
% 25.79/17.12 tff(21862,plain,
% 25.79/17.12 (v1(constB178) <=> v1(constB178)),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21863,axiom,(v1(constB178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_178_1')).
% 25.79/17.12 tff(21864,plain,
% 25.79/17.12 (v1(constB178)),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21863, 21862])).
% 25.79/17.12 tff(21865,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21866,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178)))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21867,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB177, constB178)) | v95(constB178) | (~v96(constB178)) | (~v1(constB178))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21866, 21865])).
% 25.79/17.12 tff(21868,plain,
% 25.79/17.12 (v95(constB178) | (~v96(constB178))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21867, 345, 21844, 21864])).
% 25.79/17.12 tff(21869,plain,
% 25.79/17.12 (v95(constB178)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21868, 21861])).
% 25.79/17.12 tff(21870,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21871,plain,
% 25.79/17.12 (((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178)) <=> ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21872,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178))))),
% 25.79/17.12 inference(monotonicity,[status(thm)],[21871])).
% 25.79/17.12 tff(21873,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178)))),
% 25.79/17.12 inference(transitivity,[status(thm)],[21872, 21870])).
% 25.79/17.12 tff(21874,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB177, constB178)) | (~v95(constB178)) | (~v104(constB178)) | v94(constB178))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21875,plain,
% 25.79/17.12 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB177, constB178)) | v94(constB178) | (~v95(constB178)) | (~v104(constB178))),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21874, 21873])).
% 25.79/17.12 tff(21876,plain,
% 25.79/17.12 (v94(constB178) | (~v95(constB178)) | (~v104(constB178))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21875, 360, 21844])).
% 25.79/17.12 tff(21877,plain,
% 25.79/17.12 (v94(constB178) | (~v104(constB178))),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21876, 21869])).
% 25.79/17.12 tff(21878,plain,
% 25.79/17.12 (v94(constB178)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21877, 21852])).
% 25.79/17.12 tff(21879,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB177)) | v124(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB177)) | v124(constB177, bitIndex0))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21880,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB177)) | v124(constB177, bitIndex0))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21881,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB177)) | v124(constB177, bitIndex0)),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21880, 21879])).
% 25.79/17.12 tff(21882,plain,
% 25.79/17.12 (v124(constB177, bitIndex0)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21881, 1636, 21804])).
% 25.79/17.12 tff(21883,plain,
% 25.79/17.12 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB177) | (~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB177) | (~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0))),
% 25.79/17.12 inference(rewrite,[status(thm)],[])).
% 25.79/17.12 tff(21884,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB177) | (~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0))),
% 25.79/17.12 inference(quant_inst,[status(thm)],[])).
% 25.79/17.12 tff(21885,plain,
% 25.79/17.12 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB177) | (~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0)),
% 25.79/17.12 inference(modus_ponens,[status(thm)],[21884, 21883])).
% 25.79/17.12 tff(21886,plain,
% 25.79/17.12 ((~v124(constB177, bitIndex0)) | v121(constB177, bitIndex0)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21885, 547, 21826])).
% 25.79/17.12 tff(21887,plain,
% 25.79/17.12 (v121(constB177, bitIndex0)),
% 25.79/17.12 inference(unit_resolution,[status(thm)],[21886, 21882])).
% 25.79/17.12 tff(21888,plain,
% 25.79/17.12 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21889,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21890,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21889, 21888])).
% 25.79/17.13 tff(21891,plain,
% 25.79/17.13 ((~v121(constB177, bitIndex0)) | v123(constB178, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21890, 562, 21844])).
% 25.79/17.13 tff(21892,plain,
% 25.79/17.13 (v123(constB178, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21891, 21887])).
% 25.79/17.13 tff(21893,plain,
% 25.79/17.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21894,plain,
% 25.79/17.13 ((v84(constB178, bitIndex0) | (~v94(constB178)) | (~v123(constB178, bitIndex0))) <=> (v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21895,plain,
% 25.79/17.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v94(constB178)) | (~v123(constB178, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178))))),
% 25.79/17.13 inference(monotonicity,[status(thm)],[21894])).
% 25.79/17.13 tff(21896,plain,
% 25.79/17.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v94(constB178)) | (~v123(constB178, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178)))),
% 25.79/17.13 inference(transitivity,[status(thm)],[21895, 21893])).
% 25.79/17.13 tff(21897,plain,
% 25.79/17.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~v94(constB178)) | (~v123(constB178, bitIndex0)))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21898,plain,
% 25.79/17.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0)) | (~v94(constB178))),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21897, 21896])).
% 25.79/17.13 tff(21899,plain,
% 25.79/17.13 (v84(constB178, bitIndex0) | (~v94(constB178))),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21898, 577, 21892])).
% 25.79/17.13 tff(21900,plain,
% 25.79/17.13 (v84(constB178, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21899, 21878])).
% 25.79/17.13 tff(21901,plain,
% 25.79/17.13 ((~v1(constB179)) <=> (~v1(constB179))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21902,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 25.79/17.13 tff(21903,plain,
% 25.79/17.13 (~v1(constB179)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21902, 21901])).
% 25.79/17.13 tff(21904,plain,
% 25.79/17.13 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21905,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_178_1')).
% 25.79/17.13 tff(21906,plain,
% 25.79/17.13 (nextState(constB178, constB179)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21905, 21904])).
% 25.79/17.13 tff(21907,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21908,plain,
% 25.79/17.13 (((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179)) <=> (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21909,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179))))),
% 25.79/17.13 inference(monotonicity,[status(thm)],[21908])).
% 25.79/17.13 tff(21910,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179)))),
% 25.79/17.13 inference(transitivity,[status(thm)],[21909, 21907])).
% 25.79/17.13 tff(21911,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB178, constB179)) | (~v95(constB179)) | v1(constB179))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21912,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB179) | (~nextState(constB178, constB179)) | (~v95(constB179))),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21911, 21910])).
% 25.79/17.13 tff(21913,plain,
% 25.79/17.13 (~v95(constB179)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21912, 73, 21906, 21903])).
% 25.79/17.13 tff(21914,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21915,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179)))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21916,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB178, constB179)) | v95(constB179) | (~v94(constB179))),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21915, 21914])).
% 25.79/17.13 tff(21917,plain,
% 25.79/17.13 (v95(constB179) | (~v94(constB179))),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21916, 90, 21906])).
% 25.79/17.13 tff(21918,plain,
% 25.79/17.13 (~v94(constB179)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21917, 21913])).
% 25.79/17.13 tff(21919,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21920,plain,
% 25.79/17.13 (((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0)) <=> ((~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21921,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0)))),
% 25.79/17.13 inference(monotonicity,[status(thm)],[21920])).
% 25.79/17.13 tff(21922,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0))),
% 25.79/17.13 inference(transitivity,[status(thm)],[21921, 21919])).
% 25.79/17.13 tff(21923,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21924,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex0)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21923, 21922])).
% 25.79/17.13 tff(21925,plain,
% 25.79/17.13 ((~v84(constB178, bitIndex0)) | v94(constB179) | v84(constB179, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21924, 595, 21906])).
% 25.79/17.13 tff(21926,plain,
% 25.79/17.13 ((~v84(constB178, bitIndex0)) | v84(constB179, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21925, 21918])).
% 25.79/17.13 tff(21927,plain,
% 25.79/17.13 (v84(constB179, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21926, 21900])).
% 25.79/17.13 tff(21928,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB177)) | v124(constB177, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB177)) | v124(constB177, bitIndex2))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21929,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB177)) | v124(constB177, bitIndex2))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21930,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB177)) | v124(constB177, bitIndex2)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21929, 21928])).
% 25.79/17.13 tff(21931,plain,
% 25.79/17.13 (v124(constB177, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21930, 1539, 21804])).
% 25.79/17.13 tff(21932,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB177) | (~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB177) | (~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21933,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB177) | (~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21934,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB177) | (~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21933, 21932])).
% 25.79/17.13 tff(21935,plain,
% 25.79/17.13 ((~v124(constB177, bitIndex2)) | v121(constB177, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21934, 1287, 21826])).
% 25.79/17.13 tff(21936,plain,
% 25.79/17.13 (v121(constB177, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21935, 21931])).
% 25.79/17.13 tff(21937,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21938,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB177, constB178)) | (~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21939,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB177, constB178)) | (~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21938, 21937])).
% 25.79/17.13 tff(21940,plain,
% 25.79/17.13 ((~v121(constB177, bitIndex2)) | v123(constB178, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21939, 1302, 21844])).
% 25.79/17.13 tff(21941,plain,
% 25.79/17.13 (v123(constB178, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21940, 21936])).
% 25.79/17.13 tff(21942,plain,
% 25.79/17.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21943,plain,
% 25.79/17.13 ((v84(constB178, bitIndex2) | (~v94(constB178)) | (~v123(constB178, bitIndex2))) <=> (v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21944,plain,
% 25.79/17.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v94(constB178)) | (~v123(constB178, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178))))),
% 25.79/17.13 inference(monotonicity,[status(thm)],[21943])).
% 25.79/17.13 tff(21945,plain,
% 25.79/17.13 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v94(constB178)) | (~v123(constB178, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178)))),
% 25.79/17.13 inference(transitivity,[status(thm)],[21944, 21942])).
% 25.79/17.13 tff(21946,plain,
% 25.79/17.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~v94(constB178)) | (~v123(constB178, bitIndex2)))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21947,plain,
% 25.79/17.13 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2)) | (~v94(constB178))),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21946, 21945])).
% 25.79/17.13 tff(21948,plain,
% 25.79/17.13 (v84(constB178, bitIndex2) | (~v94(constB178))),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21947, 1317, 21941])).
% 25.79/17.13 tff(21949,plain,
% 25.79/17.13 (v84(constB178, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21948, 21878])).
% 25.79/17.13 tff(21950,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21951,plain,
% 25.79/17.13 (((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2)) <=> ((~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21952,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2)))),
% 25.79/17.13 inference(monotonicity,[status(thm)],[21951])).
% 25.79/17.13 tff(21953,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2))),
% 25.79/17.13 inference(transitivity,[status(thm)],[21952, 21950])).
% 25.79/17.13 tff(21954,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB178, constB179)) | (~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21955,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB178, bitIndex2)) | (~nextState(constB178, constB179)) | v94(constB179) | v84(constB179, bitIndex2)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21954, 21953])).
% 25.79/17.13 tff(21956,plain,
% 25.79/17.13 ((~v84(constB178, bitIndex2)) | v94(constB179) | v84(constB179, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21955, 1353, 21906])).
% 25.79/17.13 tff(21957,plain,
% 25.79/17.13 ((~v84(constB178, bitIndex2)) | v84(constB179, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21956, 21918])).
% 25.79/17.13 tff(21958,plain,
% 25.79/17.13 (v84(constB179, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21957, 21949])).
% 25.79/17.13 tff(21959,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB175)) | (~v84(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB175)) | (~v84(constB175, bitIndex1)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21960,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB175)) | (~v84(constB175, bitIndex1)))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21961,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB175)) | (~v84(constB175, bitIndex1))),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21960, 21959])).
% 25.79/17.13 tff(21962,plain,
% 25.79/17.13 (~v118(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21961, 2007, 21023])).
% 25.79/17.13 tff(21963,assumption,(~v123(constB176, bitIndex1)), introduced(assumption)).
% 25.79/17.13 tff(21964,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex1)) | v123(constB176, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex1)) | v123(constB176, bitIndex1))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21965,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex1)) | v123(constB176, bitIndex1))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21966,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex1)) | v123(constB176, bitIndex1)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21965, 21964])).
% 25.79/17.13 tff(21967,plain,
% 25.79/17.13 ((~v121(constB175, bitIndex1)) | v123(constB176, bitIndex1)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21966, 827, 21074])).
% 25.79/17.13 tff(21968,plain,
% 25.79/17.13 (~v121(constB175, bitIndex1)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21967, 21963])).
% 25.79/17.13 tff(21969,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB175) | (~v124(constB175, bitIndex1)) | v121(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB175) | (~v124(constB175, bitIndex1)) | v121(constB175, bitIndex1))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21970,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB175) | (~v124(constB175, bitIndex1)) | v121(constB175, bitIndex1))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21971,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB175) | (~v124(constB175, bitIndex1)) | v121(constB175, bitIndex1)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21970, 21969])).
% 25.79/17.13 tff(21972,plain,
% 25.79/17.13 ((~v124(constB175, bitIndex1)) | v121(constB175, bitIndex1)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21971, 812, 21066])).
% 25.79/17.13 tff(21973,plain,
% 25.79/17.13 (~v124(constB175, bitIndex1)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21972, 21968])).
% 25.79/17.13 tff(21974,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB175)) | v124(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB175)) | v124(constB175, bitIndex1))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21975,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB175)) | v124(constB175, bitIndex1))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21976,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB175)) | v124(constB175, bitIndex1)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21975, 21974])).
% 25.79/17.13 tff(21977,plain,
% 25.79/17.13 (~v145(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21976, 798, 21973])).
% 25.79/17.13 tff(21978,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB175)) | v124(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB175)) | v124(constB175, bitIndex1))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21979,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB175)) | v124(constB175, bitIndex1))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21980,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB175)) | v124(constB175, bitIndex1)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21979, 21978])).
% 25.79/17.13 tff(21981,plain,
% 25.79/17.13 (~v115(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21980, 1102, 21973])).
% 25.79/17.13 tff(21982,assumption,(~v123(constB176, bitIndex0)), introduced(assumption)).
% 25.79/17.13 tff(21983,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21984,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21985,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB175, constB176)) | (~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21984, 21983])).
% 25.79/17.13 tff(21986,plain,
% 25.79/17.13 ((~v121(constB175, bitIndex0)) | v123(constB176, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21985, 562, 21074])).
% 25.79/17.13 tff(21987,plain,
% 25.79/17.13 (~v121(constB175, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21986, 21982])).
% 25.79/17.13 tff(21988,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21989,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21990,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB175) | (~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21989, 21988])).
% 25.79/17.13 tff(21991,plain,
% 25.79/17.13 ((~v124(constB175, bitIndex0)) | v121(constB175, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21990, 547, 21066])).
% 25.79/17.13 tff(21992,plain,
% 25.79/17.13 (~v124(constB175, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21991, 21987])).
% 25.79/17.13 tff(21993,assumption,(~v124(constB175, bitIndex0)), introduced(assumption)).
% 25.79/17.13 tff(21994,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB175)) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB175)) | v124(constB175, bitIndex0))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21995,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB175)) | v124(constB175, bitIndex0))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(21996,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB175)) | v124(constB175, bitIndex0)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21995, 21994])).
% 25.79/17.13 tff(21997,plain,
% 25.79/17.13 (~v172(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21996, 1636, 21993])).
% 25.79/17.13 tff(21998,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB175)) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB175)) | v124(constB175, bitIndex0))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(21999,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB175)) | v124(constB175, bitIndex0))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(22000,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB175)) | v124(constB175, bitIndex0)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[21999, 21998])).
% 25.79/17.13 tff(22001,plain,
% 25.79/17.13 (~v113(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[22000, 533, 21993])).
% 25.79/17.13 tff(22002,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(22003,plain,
% 25.79/17.13 ((v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0)) <=> (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(22004,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0)))),
% 25.79/17.13 inference(monotonicity,[status(thm)],[22003])).
% 25.79/17.13 tff(22005,plain,
% 25.79/17.13 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0))),
% 25.79/17.13 inference(transitivity,[status(thm)],[22004, 22002])).
% 25.79/17.13 tff(22006,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | v124(constB175, bitIndex0))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(22007,plain,
% 25.79/17.13 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | v124(constB175, bitIndex0)),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[22006, 22005])).
% 25.79/17.13 tff(22008,plain,
% 25.79/17.13 (v172(constB175) | v145(constB175) | v118(constB175) | v113(constB175) | v124(constB175, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[22007, 2152, 21346, 21123])).
% 25.79/17.13 tff(22009,plain,
% 25.79/17.13 ($false),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[22008, 22001, 21997, 21128, 21110, 21993])).
% 25.79/17.13 tff(22010,plain,(v124(constB175, bitIndex0) | v118(constB175) | v145(constB175) | v116(constB175) | v115(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.13 tff(22011,plain,
% 25.79/17.13 (v116(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[22010, 21992, 21128, 21981, 21977])).
% 25.79/17.13 tff(22012,plain,
% 25.79/17.13 (v110(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21121, 1192, 22011])).
% 25.79/17.13 tff(22013,plain,
% 25.79/17.13 (v109(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21101, 221, 22012])).
% 25.79/17.13 tff(22014,plain,
% 25.79/17.13 (v108(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21097, 235, 22013])).
% 25.79/17.13 tff(22015,plain,
% 25.79/17.13 (v107(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21090, 249, 22014])).
% 25.79/17.13 tff(22016,plain,
% 25.79/17.13 (v106(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21658, 22015])).
% 25.79/17.13 tff(22017,plain,
% 25.79/17.13 (v102(constB175)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21665, 275, 22016])).
% 25.79/17.13 tff(22018,plain,
% 25.79/17.13 (v104(constB176)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21673, 22017])).
% 25.79/17.13 tff(22019,plain,
% 25.79/17.13 (v94(constB176)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21699, 22018])).
% 25.79/17.13 tff(22020,plain,
% 25.79/17.13 (v124(constB175, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21061, 1273, 22011])).
% 25.79/17.13 tff(22021,plain,
% 25.79/17.13 (v121(constB175, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21070, 22020])).
% 25.79/17.13 tff(22022,plain,
% 25.79/17.13 (v123(constB176, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21078, 22021])).
% 25.79/17.13 tff(22023,plain,
% 25.79/17.13 (v84(constB176, bitIndex2) | (~v94(constB176))),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21706, 1317, 22022])).
% 25.79/17.13 tff(22024,plain,
% 25.79/17.13 (v84(constB176, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[22023, 22019])).
% 25.79/17.13 tff(22025,plain,
% 25.79/17.13 (v84(constB177, bitIndex2)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21733, 22024])).
% 25.79/17.13 tff(22026,plain,
% 25.79/17.13 ((~v84(constB176, bitIndex1)) | (~v94(constB176))),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21757, 509, 21963])).
% 25.79/17.13 tff(22027,plain,
% 25.79/17.13 (~v84(constB176, bitIndex1)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[22026, 22019])).
% 25.79/17.13 tff(22028,plain,
% 25.79/17.13 (~v84(constB177, bitIndex1)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21766, 22027])).
% 25.79/17.13 tff(22029,plain,
% 25.79/17.13 ((~v84(constB176, bitIndex0)) | (~v94(constB176))),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21790, 923, 21982])).
% 25.79/17.13 tff(22030,plain,
% 25.79/17.13 (~v84(constB176, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[22029, 22019])).
% 25.79/17.13 tff(22031,plain,
% 25.79/17.13 (~v84(constB177, bitIndex0)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21799, 22030])).
% 25.79/17.13 tff(22032,plain,
% 25.79/17.13 (v172(constB177)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[21803, 1454, 22031, 22028, 22025])).
% 25.79/17.13 tff(22033,assumption,(v84(constB178, bitIndex1)), introduced(assumption)).
% 25.79/17.13 tff(22034,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex1)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(22035,plain,
% 25.79/17.13 (((~nextState(constB177, constB178)) | v84(constB177, bitIndex1) | v94(constB178) | (~v84(constB178, bitIndex1))) <=> (v84(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex1)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(22036,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v84(constB177, bitIndex1) | v94(constB178) | (~v84(constB178, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex1))))),
% 25.79/17.13 inference(monotonicity,[status(thm)],[22035])).
% 25.79/17.13 tff(22037,plain,
% 25.79/17.13 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v84(constB177, bitIndex1) | v94(constB178) | (~v84(constB178, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex1)))),
% 25.79/17.13 inference(transitivity,[status(thm)],[22036, 22034])).
% 25.79/17.13 tff(22038,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v84(constB177, bitIndex1) | v94(constB178) | (~v84(constB178, bitIndex1)))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(22039,plain,
% 25.79/17.13 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB177, bitIndex1) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex1))),
% 25.79/17.13 inference(modus_ponens,[status(thm)],[22038, 22037])).
% 25.79/17.13 tff(22040,plain,
% 25.79/17.13 (v84(constB177, bitIndex1) | v94(constB178) | (~v84(constB178, bitIndex1))),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[22039, 126, 21844])).
% 25.79/17.13 tff(22041,plain,
% 25.79/17.13 (v94(constB178)),
% 25.79/17.13 inference(unit_resolution,[status(thm)],[22040, 22028, 22033])).
% 25.79/17.13 tff(22042,plain,
% 25.79/17.13 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(22043,plain,
% 25.79/17.13 (((~v84(constB178, bitIndex1)) | (~v94(constB178)) | v123(constB178, bitIndex1)) <=> ((~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178)))),
% 25.79/17.13 inference(rewrite,[status(thm)],[])).
% 25.79/17.13 tff(22044,plain,
% 25.79/17.13 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~v94(constB178)) | v123(constB178, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178))))),
% 25.79/17.13 inference(monotonicity,[status(thm)],[22043])).
% 25.79/17.13 tff(22045,plain,
% 25.79/17.13 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~v94(constB178)) | v123(constB178, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178)))),
% 25.79/17.13 inference(transitivity,[status(thm)],[22044, 22042])).
% 25.79/17.13 tff(22046,plain,
% 25.79/17.13 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB178, bitIndex1)) | (~v94(constB178)) | v123(constB178, bitIndex1))),
% 25.79/17.13 inference(quant_inst,[status(thm)],[])).
% 25.79/17.13 tff(22047,plain,
% 25.79/17.13 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1) | (~v94(constB178))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22046, 22045])).
% 25.79/17.14 tff(22048,plain,
% 25.79/17.14 (v123(constB178, bitIndex1) | (~v94(constB178))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22047, 509, 22033])).
% 25.79/17.14 tff(22049,plain,
% 25.79/17.14 (v123(constB178, bitIndex1)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22048, 22041])).
% 25.79/17.14 tff(22050,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22051,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1)))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22052,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22051, 22050])).
% 25.79/17.14 tff(22053,plain,
% 25.79/17.14 (v121(constB177, bitIndex1) | (~v123(constB178, bitIndex1))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22052, 494, 21844])).
% 25.79/17.14 tff(22054,plain,
% 25.79/17.14 (v121(constB177, bitIndex1)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22053, 22049])).
% 25.79/17.14 tff(22055,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22056,plain,
% 25.79/17.14 ((v26(constB177) | v124(constB177, bitIndex1) | (~v121(constB177, bitIndex1))) <=> ((~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22057,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB177) | v124(constB177, bitIndex1) | (~v121(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1)))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22056])).
% 25.79/17.14 tff(22058,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB177) | v124(constB177, bitIndex1) | (~v121(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22057, 22055])).
% 25.79/17.14 tff(22059,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB177) | v124(constB177, bitIndex1) | (~v121(constB177, bitIndex1)))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22060,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB177, bitIndex1)) | v26(constB177) | v124(constB177, bitIndex1)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22059, 22058])).
% 25.79/17.14 tff(22061,plain,
% 25.79/17.14 ((~v121(constB177, bitIndex1)) | v124(constB177, bitIndex1)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22060, 476, 21826])).
% 25.79/17.14 tff(22062,plain,
% 25.79/17.14 (v124(constB177, bitIndex1)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22061, 22054])).
% 25.79/17.14 tff(22063,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB177)) | (~v124(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB177)) | (~v124(constB177, bitIndex1)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22064,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB177)) | (~v124(constB177, bitIndex1)))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22065,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB177)) | (~v124(constB177, bitIndex1))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22064, 22063])).
% 25.79/17.14 tff(22066,plain,
% 25.79/17.14 ($false),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22065, 1595, 22062, 22032])).
% 25.79/17.14 tff(22067,plain,(v123(constB176, bitIndex0) | (~v84(constB178, bitIndex1)) | v123(constB176, bitIndex1) | v118(constB175)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.14 tff(22068,plain,
% 25.79/17.14 (~v84(constB178, bitIndex1)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22067, 21784, 21751, 21962])).
% 25.79/17.14 tff(22069,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22070,plain,
% 25.79/17.14 (((~nextState(constB178, constB179)) | v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1))) <=> (v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22071,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1))))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22070])).
% 25.79/17.14 tff(22072,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1)))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22071, 22069])).
% 25.79/17.14 tff(22073,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1)))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22074,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB178, bitIndex1) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex1))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22073, 22072])).
% 25.79/17.14 tff(22075,plain,
% 25.79/17.14 (v84(constB178, bitIndex1) | v94(constB179) | (~v84(constB179, bitIndex1))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22074, 126, 21906])).
% 25.79/17.14 tff(22076,plain,
% 25.79/17.14 (v84(constB178, bitIndex1) | (~v84(constB179, bitIndex1))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22075, 21918])).
% 25.79/17.14 tff(22077,plain,
% 25.79/17.14 (~v84(constB179, bitIndex1)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22076, 22068])).
% 25.79/17.14 tff(22078,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22079,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22080,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22079, 22078])).
% 25.79/17.14 tff(22081,plain,
% 25.79/17.14 ((~v84(constB179, bitIndex0)) | (~v84(constB179, bitIndex2)) | v118(constB179)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22080, 1677, 22077])).
% 25.79/17.14 tff(22082,plain,
% 25.79/17.14 (v118(constB179)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22081, 21958, 21927])).
% 25.79/17.14 tff(22083,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v118(constB179)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v118(constB179)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22084,plain,
% 25.79/17.14 (((~v118(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v118(constB179)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22085,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v118(constB179))))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22084])).
% 25.79/17.14 tff(22086,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v118(constB179)))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22085, 22083])).
% 25.79/17.14 tff(22087,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB179)) | v108(constB179))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22088,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v118(constB179))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22087, 22086])).
% 25.79/17.14 tff(22089,plain,
% 25.79/17.14 (v108(constB179)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22088, 1688, 22082])).
% 25.79/17.14 tff(22090,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB179) | (~v108(constB179)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB179) | (~v108(constB179)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22091,plain,
% 25.79/17.14 (((~v108(constB179)) | v107(constB179)) <=> (v107(constB179) | (~v108(constB179)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22092,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB179)) | v107(constB179))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB179) | (~v108(constB179))))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22091])).
% 25.79/17.14 tff(22093,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB179)) | v107(constB179))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB179) | (~v108(constB179)))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22092, 22090])).
% 25.79/17.14 tff(22094,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB179)) | v107(constB179))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22095,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB179) | (~v108(constB179))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22094, 22093])).
% 25.79/17.14 tff(22096,plain,
% 25.79/17.14 (v107(constB179)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22095, 249, 22089])).
% 25.79/17.14 tff(22097,assumption,(v26(constB179)), introduced(assumption)).
% 25.79/17.14 tff(22098,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB179))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22099,plain,
% 25.79/17.14 ($false),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22098, 18, 22097])).
% 25.79/17.14 tff(22100,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.14 tff(22101,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | (~v107(constB179)) | v106(constB179))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22102,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22103,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | (~v107(constB179)) | v106(constB179)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 25.79/17.14 tff(22104,plain,
% 25.79/17.14 ((~v107(constB179)) | v106(constB179)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22103, 263, 22100])).
% 25.79/17.14 tff(22105,plain,
% 25.79/17.14 (v106(constB179)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22104, 22096])).
% 25.79/17.14 tff(22106,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB179) | (~v106(constB179)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB179) | (~v106(constB179)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22107,plain,
% 25.79/17.14 (((~v106(constB179)) | v102(constB179)) <=> (v102(constB179) | (~v106(constB179)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22108,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB179)) | v102(constB179))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB179) | (~v106(constB179))))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22107])).
% 25.79/17.14 tff(22109,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB179)) | v102(constB179))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB179) | (~v106(constB179)))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22108, 22106])).
% 25.79/17.14 tff(22110,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB179)) | v102(constB179))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22111,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB179) | (~v106(constB179))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22110, 22109])).
% 25.79/17.14 tff(22112,plain,
% 25.79/17.14 (v102(constB179)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22111, 275, 22105])).
% 25.79/17.14 tff(22113,plain,
% 25.79/17.14 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22114,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 25.79/17.14 tff(22115,plain,
% 25.79/17.14 (nextState(constB179, constB180)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22114, 22113])).
% 25.79/17.14 tff(22116,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22117,plain,
% 25.79/17.14 (((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180)) <=> ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22118,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22117])).
% 25.79/17.14 tff(22119,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22118, 22116])).
% 25.79/17.14 tff(22120,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22121,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22120, 22119])).
% 25.79/17.14 tff(22122,plain,
% 25.79/17.14 (v104(constB180) | (~v102(constB179))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22121, 295, 22115])).
% 25.79/17.14 tff(22123,plain,
% 25.79/17.14 (v104(constB180)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22122, 22112])).
% 25.79/17.14 tff(22124,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22125,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22126,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22125, 22124])).
% 25.79/17.14 tff(22127,plain,
% 25.79/17.14 (~v98(constB180)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22126, 313, 22115, 21903])).
% 25.79/17.14 tff(22128,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22129,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22130,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22129, 22128])).
% 25.79/17.14 tff(22131,plain,
% 25.79/17.14 (v96(constB180) | v98(constB180)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22130, 327, 22115])).
% 25.79/17.14 tff(22132,plain,
% 25.79/17.14 (v96(constB180)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22131, 22127])).
% 25.79/17.14 tff(22133,plain,
% 25.79/17.14 (v1(constB180) <=> v1(constB180)),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22134,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 25.79/17.14 tff(22135,plain,
% 25.79/17.14 (v1(constB180)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22134, 22133])).
% 25.79/17.14 tff(22136,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22137,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22138,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 25.79/17.14 tff(22139,plain,
% 25.79/17.14 (v95(constB180) | (~v96(constB180))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22138, 345, 22115, 22135])).
% 25.79/17.14 tff(22140,plain,
% 25.79/17.14 (v95(constB180)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22139, 22132])).
% 25.79/17.14 tff(22141,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22142,plain,
% 25.79/17.14 (((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180)) <=> ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22143,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180))))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22142])).
% 25.79/17.14 tff(22144,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180)))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22143, 22141])).
% 25.79/17.14 tff(22145,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22146,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | v94(constB180) | (~v95(constB180)) | (~v104(constB180))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22145, 22144])).
% 25.79/17.14 tff(22147,plain,
% 25.79/17.14 (v94(constB180) | (~v95(constB180)) | (~v104(constB180))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22146, 360, 22115])).
% 25.79/17.14 tff(22148,plain,
% 25.79/17.14 (v94(constB180) | (~v104(constB180))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22147, 22140])).
% 25.79/17.14 tff(22149,plain,
% 25.79/17.14 (v94(constB180)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22148, 22123])).
% 25.79/17.14 tff(22150,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB179)) | v124(constB179, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB179)) | v124(constB179, bitIndex2))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22151,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB179)) | v124(constB179, bitIndex2))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22152,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB179)) | v124(constB179, bitIndex2)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22151, 22150])).
% 25.79/17.14 tff(22153,plain,
% 25.79/17.14 (v124(constB179, bitIndex2)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22152, 1761, 22082])).
% 25.79/17.14 tff(22154,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB179) | (~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB179) | (~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22155,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB179) | (~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22156,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB179) | (~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22155, 22154])).
% 25.79/17.14 tff(22157,plain,
% 25.79/17.14 ((~v124(constB179, bitIndex2)) | v121(constB179, bitIndex2)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22156, 1287, 22100])).
% 25.79/17.14 tff(22158,plain,
% 25.79/17.14 (v121(constB179, bitIndex2)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22157, 22153])).
% 25.79/17.14 tff(22159,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22160,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22161,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22160, 22159])).
% 25.79/17.14 tff(22162,plain,
% 25.79/17.14 ((~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22161, 1302, 22115])).
% 25.79/17.14 tff(22163,plain,
% 25.79/17.14 (v123(constB180, bitIndex2)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22162, 22158])).
% 25.79/17.14 tff(22164,plain,
% 25.79/17.14 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22165,plain,
% 25.79/17.14 ((v84(constB180, bitIndex2) | (~v94(constB180)) | (~v123(constB180, bitIndex2))) <=> (v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22166,plain,
% 25.79/17.14 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v94(constB180)) | (~v123(constB180, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180))))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22165])).
% 25.79/17.14 tff(22167,plain,
% 25.79/17.14 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v94(constB180)) | (~v123(constB180, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180)))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22166, 22164])).
% 25.79/17.14 tff(22168,plain,
% 25.79/17.14 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~v94(constB180)) | (~v123(constB180, bitIndex2)))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22169,plain,
% 25.79/17.14 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)) | (~v94(constB180))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22168, 22167])).
% 25.79/17.14 tff(22170,plain,
% 25.79/17.14 (v84(constB180, bitIndex2) | (~v94(constB180))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22169, 1317, 22163])).
% 25.79/17.14 tff(22171,plain,
% 25.79/17.14 (v84(constB180, bitIndex2)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22170, 22149])).
% 25.79/17.14 tff(22172,plain,
% 25.79/17.14 ((~v1(constB181)) <=> (~v1(constB181))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22173,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 25.79/17.14 tff(22174,plain,
% 25.79/17.14 (~v1(constB181)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22173, 22172])).
% 25.79/17.14 tff(22175,plain,
% 25.79/17.14 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22176,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 25.79/17.14 tff(22177,plain,
% 25.79/17.14 (nextState(constB180, constB181)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22176, 22175])).
% 25.79/17.14 tff(22178,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22179,plain,
% 25.79/17.14 (((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22180,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22179])).
% 25.79/17.14 tff(22181,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22180, 22178])).
% 25.79/17.14 tff(22182,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22183,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22182, 22181])).
% 25.79/17.14 tff(22184,plain,
% 25.79/17.14 (~v95(constB181)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22183, 73, 22177, 22174])).
% 25.79/17.14 tff(22185,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22186,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22187,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22186, 22185])).
% 25.79/17.14 tff(22188,plain,
% 25.79/17.14 (v95(constB181) | (~v94(constB181))),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22187, 90, 22177])).
% 25.79/17.14 tff(22189,plain,
% 25.79/17.14 (~v94(constB181)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22188, 22184])).
% 25.79/17.14 tff(22190,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22191,plain,
% 25.79/17.14 (((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2)) <=> ((~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22192,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2)))),
% 25.79/17.14 inference(monotonicity,[status(thm)],[22191])).
% 25.79/17.14 tff(22193,plain,
% 25.79/17.14 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2))),
% 25.79/17.14 inference(transitivity,[status(thm)],[22192, 22190])).
% 25.79/17.14 tff(22194,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22195,plain,
% 25.79/17.14 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB180, bitIndex2)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex2)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22194, 22193])).
% 25.79/17.14 tff(22196,plain,
% 25.79/17.14 ((~v84(constB180, bitIndex2)) | v94(constB181) | v84(constB181, bitIndex2)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22195, 1353, 22177])).
% 25.79/17.14 tff(22197,plain,
% 25.79/17.14 ((~v84(constB180, bitIndex2)) | v84(constB181, bitIndex2)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22196, 22189])).
% 25.79/17.14 tff(22198,plain,
% 25.79/17.14 (v84(constB181, bitIndex2)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22197, 22171])).
% 25.79/17.14 tff(22199,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB181)) | (~v84(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB181)) | (~v84(constB181, bitIndex2)))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22200,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB181)) | (~v84(constB181, bitIndex2)))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22201,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB181)) | (~v84(constB181, bitIndex2))),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22200, 22199])).
% 25.79/17.14 tff(22202,plain,
% 25.79/17.14 (~v116(constB181)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22201, 1985, 22198])).
% 25.79/17.14 tff(22203,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB179)) | v124(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB179)) | v124(constB179, bitIndex1))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22204,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB179)) | v124(constB179, bitIndex1))),
% 25.79/17.14 inference(quant_inst,[status(thm)],[])).
% 25.79/17.14 tff(22205,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB179)) | v124(constB179, bitIndex1)),
% 25.79/17.14 inference(modus_ponens,[status(thm)],[22204, 22203])).
% 25.79/17.14 tff(22206,plain,
% 25.79/17.14 (v124(constB179, bitIndex1)),
% 25.79/17.14 inference(unit_resolution,[status(thm)],[22205, 1817, 22082])).
% 25.79/17.14 tff(22207,plain,
% 25.79/17.14 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))),
% 25.79/17.14 inference(rewrite,[status(thm)],[])).
% 25.79/17.14 tff(22208,plain,
% 25.79/17.14 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22209,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB179) | (~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1)),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22208, 22207])).
% 25.79/17.15 tff(22210,plain,
% 25.79/17.15 ((~v124(constB179, bitIndex1)) | v121(constB179, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22209, 812, 22100])).
% 25.79/17.15 tff(22211,plain,
% 25.79/17.15 (v121(constB179, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22210, 22206])).
% 25.79/17.15 tff(22212,plain,
% 25.79/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22213,plain,
% 25.79/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22214,plain,
% 25.79/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1)),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22213, 22212])).
% 25.79/17.15 tff(22215,plain,
% 25.79/17.15 ((~v121(constB179, bitIndex1)) | v123(constB180, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22214, 827, 22115])).
% 25.79/17.15 tff(22216,plain,
% 25.79/17.15 (v123(constB180, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22215, 22211])).
% 25.79/17.15 tff(22217,plain,
% 25.79/17.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22218,plain,
% 25.79/17.15 ((v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1))) <=> (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22219,plain,
% 25.79/17.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22218])).
% 25.79/17.15 tff(22220,plain,
% 25.79/17.15 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22219, 22217])).
% 25.79/17.15 tff(22221,plain,
% 25.79/17.15 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~v94(constB180)) | (~v123(constB180, bitIndex1)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22222,plain,
% 25.79/17.15 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)) | (~v94(constB180))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22221, 22220])).
% 25.79/17.15 tff(22223,plain,
% 25.79/17.15 (v84(constB180, bitIndex1) | (~v94(constB180))),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22222, 842, 22216])).
% 25.79/17.15 tff(22224,plain,
% 25.79/17.15 (v84(constB180, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22223, 22149])).
% 25.79/17.15 tff(22225,plain,
% 25.79/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22226,plain,
% 25.79/17.15 (((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1)) <=> ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22227,plain,
% 25.79/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1)))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22226])).
% 25.79/17.15 tff(22228,plain,
% 25.79/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22227, 22225])).
% 25.79/17.15 tff(22229,plain,
% 25.79/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB180, constB181)) | (~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22230,plain,
% 25.79/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | (~nextState(constB180, constB181)) | v94(constB181) | v84(constB181, bitIndex1)),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22229, 22228])).
% 25.79/17.15 tff(22231,plain,
% 25.79/17.15 ((~v84(constB180, bitIndex1)) | v94(constB181) | v84(constB181, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22230, 860, 22177])).
% 25.79/17.15 tff(22232,plain,
% 25.79/17.15 ((~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22231, 22189])).
% 25.79/17.15 tff(22233,plain,
% 25.79/17.15 (v84(constB181, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22232, 22224])).
% 25.79/17.15 tff(22234,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB181)) | (~v84(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB181)) | (~v84(constB181, bitIndex1)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22235,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB181)) | (~v84(constB181, bitIndex1)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22236,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB181)) | (~v84(constB181, bitIndex1))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22235, 22234])).
% 25.79/17.15 tff(22237,plain,
% 25.79/17.15 (~v118(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22236, 2007, 22233])).
% 25.79/17.15 tff(22238,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB181)) | (~v84(constB181, bitIndex1)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22239,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex1)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22240,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB181)) | (~v84(constB181, bitIndex1))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22239, 22238])).
% 25.79/17.15 tff(22241,plain,
% 25.79/17.15 (~v113(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22240, 1996, 22233])).
% 25.79/17.15 tff(22242,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB181)) | (~v84(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB181)) | (~v84(constB181, bitIndex1)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22243,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB181)) | (~v84(constB181, bitIndex1)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22244,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB181)) | (~v84(constB181, bitIndex1))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22243, 22242])).
% 25.79/17.15 tff(22245,plain,
% 25.79/17.15 (~v172(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22244, 2029, 22233])).
% 25.79/17.15 tff(22246,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB181)) | (~v84(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB181)) | (~v84(constB181, bitIndex2)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22247,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB181)) | (~v84(constB181, bitIndex2)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22248,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB181)) | (~v84(constB181, bitIndex2))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22247, 22246])).
% 25.79/17.15 tff(22249,plain,
% 25.79/17.15 (~v115(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22248, 1974, 22198])).
% 25.79/17.15 tff(22250,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB181)) | (~v84(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB181)) | (~v84(constB181, bitIndex1)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22251,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB181)) | (~v84(constB181, bitIndex1)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22252,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB181)) | (~v84(constB181, bitIndex1))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22251, 22250])).
% 25.79/17.15 tff(22253,plain,
% 25.79/17.15 (~v145(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22252, 2018, 22233])).
% 25.79/17.15 tff(22254,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22255,plain,
% 25.79/17.15 ((v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex2))) <=> ((~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22256,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | ((~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22255])).
% 25.79/17.15 tff(22257,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22256, 22254])).
% 25.79/17.15 tff(22258,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex2)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22259,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex2)))) | (~v124(constB181, bitIndex2)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22258, 22257])).
% 25.79/17.15 tff(22260,plain,
% 25.79/17.15 (~v124(constB181, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22259, 2043, 22253, 22249, 22245, 22241, 22237, 22202])).
% 25.79/17.15 tff(22261,assumption,(v26(constB181)), introduced(assumption)).
% 25.79/17.15 tff(22262,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB181))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22263,plain,
% 25.79/17.15 ($false),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22262, 18, 22261])).
% 25.79/17.15 tff(22264,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.15 tff(22265,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22266,plain,
% 25.79/17.15 ((v26(constB181) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2))) <=> ((~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22267,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB181) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2)))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22266])).
% 25.79/17.15 tff(22268,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB181) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22267, 22265])).
% 25.79/17.15 tff(22269,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB181) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22270,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB181, bitIndex2)) | v26(constB181) | v124(constB181, bitIndex2)),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22269, 22268])).
% 25.79/17.15 tff(22271,plain,
% 25.79/17.15 ((~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22270, 390, 22264])).
% 25.79/17.15 tff(22272,plain,
% 25.79/17.15 (~v121(constB181, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22271, 22260])).
% 25.79/17.15 tff(22273,plain,
% 25.79/17.15 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22274,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 25.79/17.15 tff(22275,plain,
% 25.79/17.15 (nextState(constB181, constB182)),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22274, 22273])).
% 25.79/17.15 tff(22276,plain,
% 25.79/17.15 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22277,plain,
% 25.79/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22278,plain,
% 25.79/17.15 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22277, 22276])).
% 25.79/17.15 tff(22279,plain,
% 25.79/17.15 (v121(constB181, bitIndex2) | (~v123(constB182, bitIndex2))),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22278, 408, 22275])).
% 25.79/17.15 tff(22280,plain,
% 25.79/17.15 (~v123(constB182, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22279, 22272])).
% 25.79/17.15 tff(22281,assumption,(v118(constB167)), introduced(assumption)).
% 25.79/17.15 tff(22282,plain,
% 25.79/17.15 (v108(constB167)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20161, 1688, 22281])).
% 25.79/17.15 tff(22283,plain,
% 25.79/17.15 (v107(constB167)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20168, 249, 22282])).
% 25.79/17.15 tff(22284,plain,
% 25.79/17.15 (v106(constB167)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20270, 22283])).
% 25.79/17.15 tff(22285,plain,
% 25.79/17.15 (v102(constB167)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20277, 275, 22284])).
% 25.79/17.15 tff(22286,plain,
% 25.79/17.15 (v104(constB168)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20285, 22285])).
% 25.79/17.15 tff(22287,plain,
% 25.79/17.15 (v94(constB168)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20308, 22286])).
% 25.79/17.15 tff(22288,plain,
% 25.79/17.15 (v124(constB167, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20312, 1761, 22281])).
% 25.79/17.15 tff(22289,plain,
% 25.79/17.15 (v121(constB167, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20317, 22288])).
% 25.79/17.15 tff(22290,plain,
% 25.79/17.15 (v123(constB168, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20322, 22289])).
% 25.79/17.15 tff(22291,plain,
% 25.79/17.15 (v84(constB168, bitIndex2) | (~v94(constB168))),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20329, 1317, 22290])).
% 25.79/17.15 tff(22292,plain,
% 25.79/17.15 (v84(constB168, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22291, 22287])).
% 25.79/17.15 tff(22293,plain,
% 25.79/17.15 (v84(constB169, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20357, 22292])).
% 25.79/17.15 tff(22294,plain,
% 25.79/17.15 (v124(constB167, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20369, 1817, 22281])).
% 25.79/17.15 tff(22295,plain,
% 25.79/17.15 (v121(constB167, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20374, 22294])).
% 25.79/17.15 tff(22296,plain,
% 25.79/17.15 (v123(constB168, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20379, 22295])).
% 25.79/17.15 tff(22297,plain,
% 25.79/17.15 (v84(constB168, bitIndex1) | (~v94(constB168))),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20386, 842, 22296])).
% 25.79/17.15 tff(22298,plain,
% 25.79/17.15 (v84(constB168, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22297, 22287])).
% 25.79/17.15 tff(22299,plain,
% 25.79/17.15 (v84(constB169, bitIndex1)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20396, 22298])).
% 25.79/17.15 tff(22300,plain,
% 25.79/17.15 (~v124(constB167, bitIndex0)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20447, 1855, 22281])).
% 25.79/17.15 tff(22301,plain,
% 25.79/17.15 (~v121(constB167, bitIndex0)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20455, 22300])).
% 25.79/17.15 tff(22302,plain,
% 25.79/17.15 (~v123(constB168, bitIndex0)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20460, 22301])).
% 25.79/17.15 tff(22303,plain,
% 25.79/17.15 ((~v84(constB168, bitIndex0)) | (~v94(constB168))),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20467, 923, 22302])).
% 25.79/17.15 tff(22304,plain,
% 25.79/17.15 (~v84(constB168, bitIndex0)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22303, 22287])).
% 25.79/17.15 tff(22305,plain,
% 25.79/17.15 (~v84(constB169, bitIndex0)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20477, 22304])).
% 25.79/17.15 tff(22306,plain,
% 25.79/17.15 (v119(constB169)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20481, 1899, 22305, 22299, 22293])).
% 25.79/17.15 tff(22307,plain,
% 25.79/17.15 (v107(constB169)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20485, 1910, 22306])).
% 25.79/17.15 tff(22308,plain,
% 25.79/17.15 (v102(constB169)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20508, 22307])).
% 25.79/17.15 tff(22309,assumption,(~v107(constB181)), introduced(assumption)).
% 25.79/17.15 tff(22310,plain,
% 25.79/17.15 (~v116(constB169)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20361, 1985, 22293])).
% 25.79/17.15 tff(22311,plain,
% 25.79/17.15 (~v115(constB169)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20365, 1974, 22293])).
% 25.79/17.15 tff(22312,plain,
% 25.79/17.15 (~v172(constB169)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20400, 2029, 22299])).
% 25.79/17.15 tff(22313,plain,
% 25.79/17.15 (~v145(constB169)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20404, 2018, 22299])).
% 25.79/17.15 tff(22314,plain,
% 25.79/17.15 (~v113(constB169)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20408, 1996, 22299])).
% 25.79/17.15 tff(22315,plain,
% 25.79/17.15 (~v118(constB169)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20412, 2007, 22299])).
% 25.79/17.15 tff(22316,plain,
% 25.79/17.15 (~v124(constB169, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[20419, 2043, 22315, 22314, 22313, 22312, 22311, 22310])).
% 25.79/17.15 tff(22317,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB181) | (~v119(constB181)))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB181) | (~v119(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22318,plain,
% 25.79/17.15 (((~v119(constB181)) | v107(constB181)) <=> (v107(constB181) | (~v119(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22319,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB181)) | v107(constB181))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | (v107(constB181) | (~v119(constB181))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22318])).
% 25.79/17.15 tff(22320,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB181)) | v107(constB181))) <=> ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB181) | (~v119(constB181)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22319, 22317])).
% 25.79/17.15 tff(22321,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | ((~v119(constB181)) | v107(constB181))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22322,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v119(VarCurr)) | v107(VarCurr))) | v107(constB181) | (~v119(constB181))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22321, 22320])).
% 25.79/17.15 tff(22323,plain,
% 25.79/17.15 (~v119(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22322, 1910, 22309])).
% 25.79/17.15 tff(22324,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB181) | (~v108(constB181)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB181) | (~v108(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22325,plain,
% 25.79/17.15 (((~v108(constB181)) | v107(constB181)) <=> (v107(constB181) | (~v108(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22326,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB181)) | v107(constB181))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB181) | (~v108(constB181))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22325])).
% 25.79/17.15 tff(22327,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB181)) | v107(constB181))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB181) | (~v108(constB181)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22326, 22324])).
% 25.79/17.15 tff(22328,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB181)) | v107(constB181))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22329,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB181) | (~v108(constB181))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22328, 22327])).
% 25.79/17.15 tff(22330,plain,
% 25.79/17.15 (~v108(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22329, 249, 22309])).
% 25.79/17.15 tff(22331,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v109(constB181)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v109(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22332,plain,
% 25.79/17.15 (((~v109(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v109(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22333,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v109(constB181))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22332])).
% 25.79/17.15 tff(22334,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v109(constB181)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22333, 22331])).
% 25.79/17.15 tff(22335,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB181)) | v108(constB181))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22336,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v109(constB181))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22335, 22334])).
% 25.79/17.15 tff(22337,plain,
% 25.79/17.15 (~v109(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22336, 235, 22330])).
% 25.79/17.15 tff(22338,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB181) | (~v110(constB181)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB181) | (~v110(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22339,plain,
% 25.79/17.15 (((~v110(constB181)) | v109(constB181)) <=> (v109(constB181) | (~v110(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22340,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB181)) | v109(constB181))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB181) | (~v110(constB181))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22339])).
% 25.79/17.15 tff(22341,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB181)) | v109(constB181))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB181) | (~v110(constB181)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22340, 22338])).
% 25.79/17.15 tff(22342,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB181)) | v109(constB181))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22343,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB181) | (~v110(constB181))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22342, 22341])).
% 25.79/17.15 tff(22344,plain,
% 25.79/17.15 (~v110(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22343, 221, 22337])).
% 25.79/17.15 tff(22345,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB181) | (~v111(constB181)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB181) | (~v111(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22346,plain,
% 25.79/17.15 (((~v111(constB181)) | v110(constB181)) <=> (v110(constB181) | (~v111(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22347,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB181)) | v110(constB181))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB181) | (~v111(constB181))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22346])).
% 25.79/17.15 tff(22348,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB181)) | v110(constB181))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB181) | (~v111(constB181)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22347, 22345])).
% 25.79/17.15 tff(22349,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB181)) | v110(constB181))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22350,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB181) | (~v111(constB181))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22349, 22348])).
% 25.79/17.15 tff(22351,plain,
% 25.79/17.15 (~v111(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22350, 207, 22344])).
% 25.79/17.15 tff(22352,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB181) | (~v115(constB181)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB181) | (~v115(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22353,plain,
% 25.79/17.15 (((~v115(constB181)) | v111(constB181)) <=> (v111(constB181) | (~v115(constB181)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22354,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB181)) | v111(constB181))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB181) | (~v115(constB181))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22353])).
% 25.79/17.15 tff(22355,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB181)) | v111(constB181))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB181) | (~v115(constB181)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22354, 22352])).
% 25.79/17.15 tff(22356,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB181)) | v111(constB181))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22357,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB181) | (~v115(constB181))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22356, 22355])).
% 25.79/17.15 tff(22358,plain,
% 25.79/17.15 (~v115(constB181)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22357, 961, 22351])).
% 25.79/17.15 tff(22359,assumption,(v145(constB179)), introduced(assumption)).
% 25.79/17.15 tff(22360,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB179) | (~v145(constB179)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB179) | (~v145(constB179)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22361,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB179) | (~v145(constB179)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22362,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB179) | (~v145(constB179))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22361, 22360])).
% 25.79/17.15 tff(22363,plain,
% 25.79/17.15 (v112(constB179)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22362, 677, 22359])).
% 25.79/17.15 tff(22364,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB179) | (~v112(constB179)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22365,plain,
% 25.79/17.15 (((~v112(constB179)) | v111(constB179)) <=> (v111(constB179) | (~v112(constB179)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22366,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB179)) | v111(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB179) | (~v112(constB179))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22365])).
% 25.79/17.15 tff(22367,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB179)) | v111(constB179))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB179) | (~v112(constB179)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22366, 22364])).
% 25.79/17.15 tff(22368,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB179)) | v111(constB179))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22369,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB179) | (~v112(constB179))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22368, 22367])).
% 25.79/17.15 tff(22370,plain,
% 25.79/17.15 (v111(constB179)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22369, 193, 22363])).
% 25.79/17.15 tff(22371,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB179) | (~v111(constB179)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB179) | (~v111(constB179)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22372,plain,
% 25.79/17.15 (((~v111(constB179)) | v110(constB179)) <=> (v110(constB179) | (~v111(constB179)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22373,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB179)) | v110(constB179))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB179) | (~v111(constB179))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22372])).
% 25.79/17.15 tff(22374,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB179)) | v110(constB179))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB179) | (~v111(constB179)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22373, 22371])).
% 25.79/17.15 tff(22375,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB179)) | v110(constB179))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22376,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB179) | (~v111(constB179))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22375, 22374])).
% 25.79/17.15 tff(22377,plain,
% 25.79/17.15 (v110(constB179)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22376, 207, 22370])).
% 25.79/17.15 tff(22378,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB179)) | v109(constB179))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB179)) | v109(constB179))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22379,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB179)) | v109(constB179))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22380,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (~v110(constB179)) | v109(constB179)),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22379, 22378])).
% 25.79/17.15 tff(22381,plain,
% 25.79/17.15 (v109(constB179)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22380, 221, 22377])).
% 25.79/17.15 tff(22382,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v109(constB179)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v109(constB179)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22383,plain,
% 25.79/17.15 (((~v109(constB179)) | v108(constB179)) <=> (v108(constB179) | (~v109(constB179)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22384,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB179) | (~v109(constB179))))),
% 25.79/17.15 inference(monotonicity,[status(thm)],[22383])).
% 25.79/17.15 tff(22385,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB179)) | v108(constB179))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v109(constB179)))),
% 25.79/17.15 inference(transitivity,[status(thm)],[22384, 22382])).
% 25.79/17.15 tff(22386,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB179)) | v108(constB179))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22387,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB179) | (~v109(constB179))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22386, 22385])).
% 25.79/17.15 tff(22388,plain,
% 25.79/17.15 (v108(constB179)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22387, 235, 22381])).
% 25.79/17.15 tff(22389,plain,
% 25.79/17.15 (v107(constB179)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22095, 249, 22388])).
% 25.79/17.15 tff(22390,plain,
% 25.79/17.15 (v106(constB179)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22104, 22389])).
% 25.79/17.15 tff(22391,plain,
% 25.79/17.15 (v102(constB179)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22111, 275, 22390])).
% 25.79/17.15 tff(22392,plain,
% 25.79/17.15 (v104(constB180)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22122, 22391])).
% 25.79/17.15 tff(22393,plain,
% 25.79/17.15 (v94(constB180)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22148, 22392])).
% 25.79/17.15 tff(22394,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB179)) | (~v124(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB179)) | (~v124(constB179, bitIndex2)))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22395,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB179)) | (~v124(constB179, bitIndex2)))),
% 25.79/17.15 inference(quant_inst,[status(thm)],[])).
% 25.79/17.15 tff(22396,plain,
% 25.79/17.15 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB179)) | (~v124(constB179, bitIndex2))),
% 25.79/17.15 inference(modus_ponens,[status(thm)],[22395, 22394])).
% 25.79/17.15 tff(22397,plain,
% 25.79/17.15 (~v124(constB179, bitIndex2)),
% 25.79/17.15 inference(unit_resolution,[status(thm)],[22396, 625, 22359])).
% 25.79/17.15 tff(22398,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22399,plain,
% 25.79/17.15 ((v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2))) <=> ((~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))),
% 25.79/17.15 inference(rewrite,[status(thm)],[])).
% 25.79/17.15 tff(22400,plain,
% 25.79/17.15 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2)))),
% 25.79/17.16 inference(monotonicity,[status(thm)],[22399])).
% 25.79/17.16 tff(22401,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2))),
% 25.79/17.16 inference(transitivity,[status(thm)],[22400, 22398])).
% 25.79/17.16 tff(22402,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB179) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22403,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB179, bitIndex2)) | v26(constB179) | v124(constB179, bitIndex2)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22402, 22401])).
% 25.79/17.16 tff(22404,plain,
% 25.79/17.16 ((~v121(constB179, bitIndex2)) | v124(constB179, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22403, 390, 22100])).
% 25.79/17.16 tff(22405,plain,
% 25.79/17.16 (~v121(constB179, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22404, 22397])).
% 25.79/17.16 tff(22406,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22407,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22408,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22407, 22406])).
% 25.79/17.16 tff(22409,plain,
% 25.79/17.16 (v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22408, 408, 22115])).
% 25.79/17.16 tff(22410,plain,
% 25.79/17.16 (~v123(constB180, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22409, 22405])).
% 25.79/17.16 tff(22411,plain,
% 25.79/17.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22412,plain,
% 25.79/17.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22413,plain,
% 25.79/17.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2) | (~v94(constB180))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22412, 22411])).
% 25.79/17.16 tff(22414,plain,
% 25.79/17.16 ((~v84(constB180, bitIndex2)) | (~v94(constB180))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22413, 423, 22410])).
% 25.79/17.16 tff(22415,plain,
% 25.79/17.16 (~v84(constB180, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22414, 22393])).
% 25.79/17.16 tff(22416,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22417,plain,
% 25.79/17.16 (((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2))) <=> (v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22418,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2))))),
% 25.79/17.16 inference(monotonicity,[status(thm)],[22417])).
% 25.79/17.16 tff(22419,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 25.79/17.16 inference(transitivity,[status(thm)],[22418, 22416])).
% 25.79/17.16 tff(22420,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22421,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB180, bitIndex2) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex2))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22420, 22419])).
% 25.79/17.16 tff(22422,plain,
% 25.79/17.16 (v84(constB180, bitIndex2) | v94(constB181) | (~v84(constB181, bitIndex2))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22421, 105, 22177])).
% 25.79/17.16 tff(22423,plain,
% 25.79/17.16 (v84(constB180, bitIndex2) | (~v84(constB181, bitIndex2))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22422, 22189])).
% 25.79/17.16 tff(22424,plain,
% 25.79/17.16 (~v84(constB181, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22423, 22415])).
% 25.79/17.16 tff(22425,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB179)) | v124(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB179)) | v124(constB179, bitIndex1))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22426,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB179)) | v124(constB179, bitIndex1))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22427,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB179)) | v124(constB179, bitIndex1)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22426, 22425])).
% 25.79/17.16 tff(22428,plain,
% 25.79/17.16 (v124(constB179, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22427, 798, 22359])).
% 25.79/17.16 tff(22429,plain,
% 25.79/17.16 (v121(constB179, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22210, 22428])).
% 25.79/17.16 tff(22430,plain,
% 25.79/17.16 (v123(constB180, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22215, 22429])).
% 25.79/17.16 tff(22431,plain,
% 25.79/17.16 (v84(constB180, bitIndex1) | (~v94(constB180))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22222, 842, 22430])).
% 25.79/17.16 tff(22432,plain,
% 25.79/17.16 (v84(constB180, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22431, 22393])).
% 25.79/17.16 tff(22433,plain,
% 25.79/17.16 (v84(constB181, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22232, 22432])).
% 25.79/17.16 tff(22434,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB179)) | (~v124(constB179, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB179)) | (~v124(constB179, bitIndex0)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22435,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB179)) | (~v124(constB179, bitIndex0)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22436,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB179)) | (~v124(constB179, bitIndex0))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22435, 22434])).
% 25.79/17.16 tff(22437,plain,
% 25.79/17.16 (~v124(constB179, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22436, 876, 22359])).
% 25.79/17.16 tff(22438,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22439,plain,
% 25.79/17.16 ((v26(constB179) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0))) <=> ((~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22440,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB179) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0)))),
% 25.79/17.16 inference(monotonicity,[status(thm)],[22439])).
% 25.79/17.16 tff(22441,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB179) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(transitivity,[status(thm)],[22440, 22438])).
% 25.79/17.16 tff(22442,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB179) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22443,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB179, bitIndex0)) | v26(constB179) | v124(constB179, bitIndex0)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22442, 22441])).
% 25.79/17.16 tff(22444,plain,
% 25.79/17.16 ((~v121(constB179, bitIndex0)) | v124(constB179, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22443, 890, 22100])).
% 25.79/17.16 tff(22445,plain,
% 25.79/17.16 (~v121(constB179, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22444, 22437])).
% 25.79/17.16 tff(22446,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22447,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22448,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22447, 22446])).
% 25.79/17.16 tff(22449,plain,
% 25.79/17.16 (v121(constB179, bitIndex0) | (~v123(constB180, bitIndex0))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22448, 908, 22115])).
% 25.79/17.16 tff(22450,plain,
% 25.79/17.16 (~v123(constB180, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22449, 22445])).
% 25.79/17.16 tff(22451,plain,
% 25.79/17.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22452,plain,
% 25.79/17.16 (((~v84(constB180, bitIndex0)) | (~v94(constB180)) | v123(constB180, bitIndex0)) <=> ((~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22453,plain,
% 25.79/17.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~v94(constB180)) | v123(constB180, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180))))),
% 25.79/17.16 inference(monotonicity,[status(thm)],[22452])).
% 25.79/17.16 tff(22454,plain,
% 25.79/17.16 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~v94(constB180)) | v123(constB180, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180)))),
% 25.79/17.16 inference(transitivity,[status(thm)],[22453, 22451])).
% 25.79/17.16 tff(22455,plain,
% 25.79/17.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB180, bitIndex0)) | (~v94(constB180)) | v123(constB180, bitIndex0))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22456,plain,
% 25.79/17.16 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0) | (~v94(constB180))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22455, 22454])).
% 25.79/17.16 tff(22457,plain,
% 25.79/17.16 ((~v84(constB180, bitIndex0)) | (~v94(constB180))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22456, 923, 22450])).
% 25.79/17.16 tff(22458,plain,
% 25.79/17.16 (~v84(constB180, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22457, 22393])).
% 25.79/17.16 tff(22459,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22460,plain,
% 25.79/17.16 (((~nextState(constB180, constB181)) | v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0))) <=> (v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22461,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0))))),
% 25.79/17.16 inference(monotonicity,[status(thm)],[22460])).
% 25.79/17.16 tff(22462,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0)))),
% 25.79/17.16 inference(transitivity,[status(thm)],[22461, 22459])).
% 25.79/17.16 tff(22463,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22464,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB180, bitIndex0) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex0))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22463, 22462])).
% 25.79/17.16 tff(22465,plain,
% 25.79/17.16 (v84(constB180, bitIndex0) | v94(constB181) | (~v84(constB181, bitIndex0))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22464, 147, 22177])).
% 25.79/17.16 tff(22466,plain,
% 25.79/17.16 (v84(constB180, bitIndex0) | (~v84(constB181, bitIndex0))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22465, 22189])).
% 25.79/17.16 tff(22467,plain,
% 25.79/17.16 (~v84(constB181, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22466, 22458])).
% 25.79/17.16 tff(22468,assumption,(~v115(constB181)), introduced(assumption)).
% 25.79/17.16 tff(22469,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v115(constB181))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v115(constB181))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22470,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v115(constB181))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22471,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v115(constB181)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22470, 22469])).
% 25.79/17.16 tff(22472,plain,
% 25.79/17.16 (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22471, 950, 22468])).
% 25.79/17.16 tff(22473,plain,
% 25.79/17.16 ($false),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22472, 22467, 22433, 22424])).
% 25.79/17.16 tff(22474,plain,((~v145(constB179)) | v115(constB181)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.16 tff(22475,plain,
% 25.79/17.16 (~v145(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22474, 22358])).
% 25.79/17.16 tff(22476,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB181) | (~v172(constB181)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB181) | (~v172(constB181)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22477,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB181) | (~v172(constB181)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22478,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB181) | (~v172(constB181))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22477, 22476])).
% 25.79/17.16 tff(22479,plain,
% 25.79/17.16 (~v172(constB181)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22478, 1468, 22337])).
% 25.79/17.16 tff(22480,assumption,(~v145(constB179)), introduced(assumption)).
% 25.79/17.16 tff(22481,assumption,(~v123(constB180, bitIndex0)), introduced(assumption)).
% 25.79/17.16 tff(22482,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22483,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22484,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB179, constB180)) | (~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22483, 22482])).
% 25.79/17.16 tff(22485,plain,
% 25.79/17.16 ((~v121(constB179, bitIndex0)) | v123(constB180, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22484, 562, 22115])).
% 25.79/17.16 tff(22486,plain,
% 25.79/17.16 (~v121(constB179, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22485, 22481])).
% 25.79/17.16 tff(22487,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22488,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22489,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB179) | (~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22488, 22487])).
% 25.79/17.16 tff(22490,plain,
% 25.79/17.16 ((~v124(constB179, bitIndex0)) | v121(constB179, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22489, 547, 22100])).
% 25.79/17.16 tff(22491,plain,
% 25.79/17.16 (~v124(constB179, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22490, 22486])).
% 25.79/17.16 tff(22492,assumption,(~v108(constB179)), introduced(assumption)).
% 25.79/17.16 tff(22493,plain,
% 25.79/17.16 (~v109(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22387, 235, 22492])).
% 25.79/17.16 tff(22494,plain,
% 25.79/17.16 (~v110(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22380, 221, 22493])).
% 25.79/17.16 tff(22495,assumption,(~v124(constB179, bitIndex0)), introduced(assumption)).
% 25.79/17.16 tff(22496,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB179)) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB179)) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22497,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB179)) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22498,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB179)) | v124(constB179, bitIndex0)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22497, 22496])).
% 25.79/17.16 tff(22499,plain,
% 25.79/17.16 (~v115(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22498, 1140, 22495])).
% 25.79/17.16 tff(22500,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB179)) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB179)) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22501,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v113(constB179)) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22502,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v113(constB179)) | v124(constB179, bitIndex0)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22501, 22500])).
% 25.79/17.16 tff(22503,plain,
% 25.79/17.16 (~v113(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22502, 533, 22495])).
% 25.79/17.16 tff(22504,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB179)) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB179)) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22505,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB179)) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22506,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB179)) | v124(constB179, bitIndex0)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22505, 22504])).
% 25.79/17.16 tff(22507,plain,
% 25.79/17.16 (~v172(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22506, 1636, 22495])).
% 25.79/17.16 tff(22508,plain,
% 25.79/17.16 (~v118(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22088, 1688, 22492])).
% 25.79/17.16 tff(22509,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22510,plain,
% 25.79/17.16 ((v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | v124(constB179, bitIndex0)) <=> (v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22511,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | v124(constB179, bitIndex0)))),
% 25.79/17.16 inference(monotonicity,[status(thm)],[22510])).
% 25.79/17.16 tff(22512,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | v124(constB179, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(transitivity,[status(thm)],[22511, 22509])).
% 25.79/17.16 tff(22513,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | v124(constB179, bitIndex0))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22514,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | v124(constB179, bitIndex0)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22513, 22512])).
% 25.79/17.16 tff(22515,plain,
% 25.79/17.16 (v172(constB179) | v115(constB179) | v116(constB179) | v113(constB179) | v118(constB179) | v124(constB179, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22514, 2152, 22480])).
% 25.79/17.16 tff(22516,plain,
% 25.79/17.16 (v116(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22515, 22508, 22495, 22507, 22503, 22499])).
% 25.79/17.16 tff(22517,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB179)) | v110(constB179))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB179)) | v110(constB179))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22518,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB179)) | v110(constB179))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22519,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (~v116(constB179)) | v110(constB179)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22518, 22517])).
% 25.79/17.16 tff(22520,plain,
% 25.79/17.16 ($false),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22519, 1192, 22516, 22494])).
% 25.79/17.16 tff(22521,plain,(v108(constB179) | v124(constB179, bitIndex0) | v145(constB179)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.16 tff(22522,plain,
% 25.79/17.16 (v108(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22521, 22491, 22480])).
% 25.79/17.16 tff(22523,plain,
% 25.79/17.16 (v107(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22095, 249, 22522])).
% 25.79/17.16 tff(22524,plain,
% 25.79/17.16 (v106(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22104, 22523])).
% 25.79/17.16 tff(22525,plain,
% 25.79/17.16 (v102(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22111, 275, 22524])).
% 25.79/17.16 tff(22526,plain,
% 25.79/17.16 (v104(constB180)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22122, 22525])).
% 25.79/17.16 tff(22527,plain,
% 25.79/17.16 (v94(constB180)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22148, 22526])).
% 25.79/17.16 tff(22528,plain,
% 25.79/17.16 ((~v84(constB180, bitIndex0)) | (~v94(constB180))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22456, 923, 22481])).
% 25.79/17.16 tff(22529,plain,
% 25.79/17.16 (~v84(constB180, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22528, 22527])).
% 25.79/17.16 tff(22530,plain,
% 25.79/17.16 (~v84(constB181, bitIndex0)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22466, 22529])).
% 25.79/17.16 tff(22531,plain,
% 25.79/17.16 (~v115(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22498, 1140, 22491])).
% 25.79/17.16 tff(22532,plain,
% 25.79/17.16 (~v113(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22502, 533, 22491])).
% 25.79/17.16 tff(22533,plain,
% 25.79/17.16 (~v172(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22506, 1636, 22491])).
% 25.79/17.16 tff(22534,assumption,(~v119(constB181)), introduced(assumption)).
% 25.79/17.16 tff(22535,assumption,(~v84(constB181, bitIndex0)), introduced(assumption)).
% 25.79/17.16 tff(22536,assumption,(v118(constB179)), introduced(assumption)).
% 25.79/17.16 tff(22537,plain,
% 25.79/17.16 (v124(constB179, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22205, 1817, 22536])).
% 25.79/17.16 tff(22538,plain,
% 25.79/17.16 (v121(constB179, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22210, 22537])).
% 25.79/17.16 tff(22539,plain,
% 25.79/17.16 (v123(constB180, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22215, 22538])).
% 25.79/17.16 tff(22540,assumption,(v94(constB180)), introduced(assumption)).
% 25.79/17.16 tff(22541,plain,
% 25.79/17.16 (v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22222, 842, 22540])).
% 25.79/17.16 tff(22542,plain,
% 25.79/17.16 (v84(constB180, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22541, 22539])).
% 25.79/17.16 tff(22543,plain,
% 25.79/17.16 (v84(constB181, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22232, 22542])).
% 25.79/17.16 tff(22544,plain,
% 25.79/17.16 (v124(constB179, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22152, 1761, 22536])).
% 25.79/17.16 tff(22545,plain,
% 25.79/17.16 (v121(constB179, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22157, 22544])).
% 25.79/17.16 tff(22546,plain,
% 25.79/17.16 (v123(constB180, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22162, 22545])).
% 25.79/17.16 tff(22547,plain,
% 25.79/17.16 (v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22169, 1317, 22540])).
% 25.79/17.16 tff(22548,plain,
% 25.79/17.16 (v84(constB180, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22547, 22546])).
% 25.79/17.16 tff(22549,plain,
% 25.79/17.16 (v84(constB181, bitIndex2)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22197, 22548])).
% 25.79/17.16 tff(22550,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22551,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22552,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22551, 22550])).
% 25.79/17.16 tff(22553,plain,
% 25.79/17.16 (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22552, 1899, 22534])).
% 25.79/17.16 tff(22554,plain,
% 25.79/17.16 ($false),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22553, 22549, 22543, 22535])).
% 25.79/17.16 tff(22555,plain,((~v118(constB179)) | v84(constB181, bitIndex0) | v119(constB181) | (~v94(constB180))), inference(lemma,lemma(discharge,[]))).
% 25.79/17.16 tff(22556,plain,
% 25.79/17.16 (~v118(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22555, 22530, 22534, 22527])).
% 25.79/17.16 tff(22557,plain,
% 25.79/17.16 (v116(constB179)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22515, 22556, 22491, 22533, 22532, 22531])).
% 25.79/17.16 tff(22558,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB179)) | (~v124(constB179, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB179)) | (~v124(constB179, bitIndex1)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22559,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB179)) | (~v124(constB179, bitIndex1)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22560,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB179)) | (~v124(constB179, bitIndex1))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22559, 22558])).
% 25.79/17.16 tff(22561,plain,
% 25.79/17.16 (~v124(constB179, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22560, 1369, 22557])).
% 25.79/17.16 tff(22562,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB179, bitIndex1)) | v26(constB179) | v124(constB179, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB179, bitIndex1)) | v26(constB179) | v124(constB179, bitIndex1))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22563,plain,
% 25.79/17.16 ((v26(constB179) | v124(constB179, bitIndex1) | (~v121(constB179, bitIndex1))) <=> ((~v121(constB179, bitIndex1)) | v26(constB179) | v124(constB179, bitIndex1))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22564,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB179) | v124(constB179, bitIndex1) | (~v121(constB179, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB179, bitIndex1)) | v26(constB179) | v124(constB179, bitIndex1)))),
% 25.79/17.16 inference(monotonicity,[status(thm)],[22563])).
% 25.79/17.16 tff(22565,plain,
% 25.79/17.16 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB179) | v124(constB179, bitIndex1) | (~v121(constB179, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB179, bitIndex1)) | v26(constB179) | v124(constB179, bitIndex1))),
% 25.79/17.16 inference(transitivity,[status(thm)],[22564, 22562])).
% 25.79/17.16 tff(22566,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB179) | v124(constB179, bitIndex1) | (~v121(constB179, bitIndex1)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22567,plain,
% 25.79/17.16 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB179, bitIndex1)) | v26(constB179) | v124(constB179, bitIndex1)),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22566, 22565])).
% 25.79/17.16 tff(22568,plain,
% 25.79/17.16 ((~v121(constB179, bitIndex1)) | v124(constB179, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22567, 476, 22100])).
% 25.79/17.16 tff(22569,plain,
% 25.79/17.16 (~v121(constB179, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22568, 22561])).
% 25.79/17.16 tff(22570,plain,
% 25.79/17.16 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex1) | (~v123(constB180, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex1) | (~v123(constB180, bitIndex1)))),
% 25.79/17.16 inference(rewrite,[status(thm)],[])).
% 25.79/17.16 tff(22571,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB179, constB180)) | v121(constB179, bitIndex1) | (~v123(constB180, bitIndex1)))),
% 25.79/17.16 inference(quant_inst,[status(thm)],[])).
% 25.79/17.16 tff(22572,plain,
% 25.79/17.16 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB179, constB180)) | v121(constB179, bitIndex1) | (~v123(constB180, bitIndex1))),
% 25.79/17.16 inference(modus_ponens,[status(thm)],[22571, 22570])).
% 25.79/17.16 tff(22573,plain,
% 25.79/17.16 (v121(constB179, bitIndex1) | (~v123(constB180, bitIndex1))),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22572, 494, 22115])).
% 25.79/17.16 tff(22574,plain,
% 25.79/17.16 (~v123(constB180, bitIndex1)),
% 25.79/17.16 inference(unit_resolution,[status(thm)],[22573, 22569])).
% 25.79/17.17 tff(22575,plain,
% 25.79/17.17 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1) | (~v94(constB180)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1) | (~v94(constB180)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22576,plain,
% 25.79/17.17 (((~v84(constB180, bitIndex1)) | (~v94(constB180)) | v123(constB180, bitIndex1)) <=> ((~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1) | (~v94(constB180)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22577,plain,
% 25.79/17.17 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~v94(constB180)) | v123(constB180, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1) | (~v94(constB180))))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22576])).
% 25.79/17.17 tff(22578,plain,
% 25.79/17.17 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~v94(constB180)) | v123(constB180, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1) | (~v94(constB180)))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22577, 22575])).
% 25.79/17.17 tff(22579,plain,
% 25.79/17.17 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB180, bitIndex1)) | (~v94(constB180)) | v123(constB180, bitIndex1))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22580,plain,
% 25.79/17.17 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1) | (~v94(constB180))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22579, 22578])).
% 25.79/17.17 tff(22581,plain,
% 25.79/17.17 ((~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22580, 509, 22527])).
% 25.79/17.17 tff(22582,plain,
% 25.79/17.17 (~v84(constB180, bitIndex1)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22581, 22574])).
% 25.79/17.17 tff(22583,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex1)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22584,plain,
% 25.79/17.17 (((~nextState(constB180, constB181)) | v84(constB180, bitIndex1) | v94(constB181) | (~v84(constB181, bitIndex1))) <=> (v84(constB180, bitIndex1) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex1)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22585,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex1) | v94(constB181) | (~v84(constB181, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB180, bitIndex1) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex1))))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22584])).
% 25.79/17.17 tff(22586,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex1) | v94(constB181) | (~v84(constB181, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex1)))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22585, 22583])).
% 25.79/17.17 tff(22587,plain,
% 25.79/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB180, constB181)) | v84(constB180, bitIndex1) | v94(constB181) | (~v84(constB181, bitIndex1)))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22588,plain,
% 25.79/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB180, bitIndex1) | (~nextState(constB180, constB181)) | v94(constB181) | (~v84(constB181, bitIndex1))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 25.79/17.17 tff(22589,plain,
% 25.79/17.17 (v84(constB180, bitIndex1) | v94(constB181) | (~v84(constB181, bitIndex1))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22588, 126, 22177])).
% 25.79/17.17 tff(22590,plain,
% 25.79/17.17 (v84(constB180, bitIndex1) | (~v84(constB181, bitIndex1))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22589, 22189])).
% 25.79/17.17 tff(22591,plain,
% 25.79/17.17 (~v84(constB181, bitIndex1)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22590, 22582])).
% 25.79/17.17 tff(22592,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB179)) | v124(constB179, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB179)) | v124(constB179, bitIndex2))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22593,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB179)) | v124(constB179, bitIndex2))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22594,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB179)) | v124(constB179, bitIndex2)),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22593, 22592])).
% 25.79/17.17 tff(22595,plain,
% 25.79/17.17 (v124(constB179, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22594, 1273, 22557])).
% 25.79/17.17 tff(22596,plain,
% 25.79/17.17 (v121(constB179, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22157, 22595])).
% 25.79/17.17 tff(22597,plain,
% 25.79/17.17 (v123(constB180, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22162, 22596])).
% 25.79/17.17 tff(22598,plain,
% 25.79/17.17 (v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22169, 1317, 22527])).
% 25.79/17.17 tff(22599,plain,
% 25.79/17.17 (v84(constB180, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22598, 22597])).
% 25.79/17.17 tff(22600,plain,
% 25.79/17.17 (v84(constB181, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22197, 22599])).
% 25.79/17.17 tff(22601,assumption,(~v172(constB181)), introduced(assumption)).
% 25.79/17.17 tff(22602,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v172(constB181))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v172(constB181))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22603,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v172(constB181))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22604,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v172(constB181)),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22603, 22602])).
% 25.79/17.17 tff(22605,plain,
% 25.79/17.17 (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22604, 1454, 22601])).
% 25.79/17.17 tff(22606,plain,
% 25.79/17.17 ($false),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22605, 22600, 22591, 22530])).
% 25.79/17.17 tff(22607,plain,(v123(constB180, bitIndex0) | v172(constB181) | v145(constB179) | v119(constB181)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.17 tff(22608,plain,
% 25.79/17.17 (v123(constB180, bitIndex0)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22607, 22479, 22475, 22323])).
% 25.79/17.17 tff(22609,plain,
% 25.79/17.17 (v121(constB179, bitIndex0)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22449, 22608])).
% 25.79/17.17 tff(22610,plain,
% 25.79/17.17 (v124(constB179, bitIndex0)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22444, 22609])).
% 25.79/17.17 tff(22611,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB179)) | (~v124(constB179, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB179)) | (~v124(constB179, bitIndex0)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22612,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB179)) | (~v124(constB179, bitIndex0)))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22613,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB179)) | (~v124(constB179, bitIndex0))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22612, 22611])).
% 25.79/17.17 tff(22614,plain,
% 25.79/17.17 (~v118(constB179)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22613, 1855, 22610])).
% 25.79/17.17 tff(22615,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB181) | (~v112(constB181)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22616,plain,
% 25.79/17.17 (((~v112(constB181)) | v111(constB181)) <=> (v111(constB181) | (~v112(constB181)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22617,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB181)) | v111(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB181) | (~v112(constB181))))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22616])).
% 25.79/17.17 tff(22618,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB181)) | v111(constB181))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB181) | (~v112(constB181)))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22617, 22615])).
% 25.79/17.17 tff(22619,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB181)) | v111(constB181))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22620,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB181) | (~v112(constB181))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22619, 22618])).
% 25.79/17.17 tff(22621,plain,
% 25.79/17.17 (~v112(constB181)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22620, 193, 22351])).
% 25.79/17.17 tff(22622,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB181) | (~v113(constB181)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB181) | (~v113(constB181)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22623,plain,
% 25.79/17.17 (((~v113(constB181)) | v112(constB181)) <=> (v112(constB181) | (~v113(constB181)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22624,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB181) | (~v113(constB181))))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22623])).
% 25.79/17.17 tff(22625,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB181)) | v112(constB181))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB181) | (~v113(constB181)))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22624, 22622])).
% 25.79/17.17 tff(22626,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB181)) | v112(constB181))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22627,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB181) | (~v113(constB181))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22626, 22625])).
% 25.79/17.17 tff(22628,plain,
% 25.79/17.17 (~v113(constB181)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22627, 182, 22621])).
% 25.79/17.17 tff(22629,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB181) | (~v145(constB181)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB181) | (~v145(constB181)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22630,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB181) | (~v145(constB181)))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22631,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB181) | (~v145(constB181))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22630, 22629])).
% 25.79/17.17 tff(22632,plain,
% 25.79/17.17 (~v145(constB181)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22631, 677, 22621])).
% 25.79/17.17 tff(22633,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v118(constB181)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v118(constB181)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22634,plain,
% 25.79/17.17 (((~v118(constB181)) | v108(constB181)) <=> (v108(constB181) | (~v118(constB181)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22635,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB181) | (~v118(constB181))))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22634])).
% 25.79/17.17 tff(22636,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB181)) | v108(constB181))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v118(constB181)))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22635, 22633])).
% 25.79/17.17 tff(22637,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB181)) | v108(constB181))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22638,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB181) | (~v118(constB181))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22637, 22636])).
% 25.79/17.17 tff(22639,plain,
% 25.79/17.17 (~v118(constB181)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22638, 1688, 22330])).
% 25.79/17.17 tff(22640,assumption,(~v84(constB181, bitIndex1)), introduced(assumption)).
% 25.79/17.17 tff(22641,assumption,(~v113(constB181)), introduced(assumption)).
% 25.79/17.17 tff(22642,assumption,(~v145(constB181)), introduced(assumption)).
% 25.79/17.17 tff(22643,assumption,(~v84(constB181, bitIndex2)), introduced(assumption)).
% 25.79/17.17 tff(22644,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v113(constB181))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v113(constB181))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22645,plain,
% 25.79/17.17 ((v84(constB181, bitIndex0) | v113(constB181) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)) <=> (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v113(constB181))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22646,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB181, bitIndex0) | v113(constB181) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v113(constB181)))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22645])).
% 25.79/17.17 tff(22647,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB181, bitIndex0) | v113(constB181) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v113(constB181))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22646, 22644])).
% 25.79/17.17 tff(22648,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB181, bitIndex0) | v113(constB181) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22649,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v113(constB181)),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22648, 22647])).
% 25.79/17.17 tff(22650,plain,
% 25.79/17.17 (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22649, 168, 22641])).
% 25.79/17.17 tff(22651,plain,
% 25.79/17.17 (v84(constB181, bitIndex0)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22650, 22643, 22640])).
% 25.79/17.17 tff(22652,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v145(constB181))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v145(constB181))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22653,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v145(constB181))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22654,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v145(constB181)),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22653, 22652])).
% 25.79/17.17 tff(22655,plain,
% 25.79/17.17 ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22654, 614, 22642])).
% 25.79/17.17 tff(22656,plain,
% 25.79/17.17 ($false),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22655, 22651, 22643, 22640])).
% 25.79/17.17 tff(22657,plain,(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | v145(constB181) | v113(constB181)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.17 tff(22658,plain,
% 25.79/17.17 (v84(constB181, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22657, 22640, 22642, 22641])).
% 25.79/17.17 tff(22659,plain,
% 25.79/17.17 (v84(constB181, bitIndex0)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22605, 22658, 22640])).
% 25.79/17.17 tff(22660,assumption,(~v118(constB181)), introduced(assumption)).
% 25.79/17.17 tff(22661,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v118(constB181))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v118(constB181))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22662,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v118(constB181))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22663,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v118(constB181)),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22662, 22661])).
% 25.79/17.17 tff(22664,plain,
% 25.79/17.17 ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22663, 1677, 22660])).
% 25.79/17.17 tff(22665,plain,
% 25.79/17.17 ($false),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22664, 22659, 22658, 22640])).
% 25.79/17.17 tff(22666,plain,(v84(constB181, bitIndex1) | v118(constB181) | v172(constB181) | v145(constB181) | v113(constB181)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.17 tff(22667,plain,
% 25.79/17.17 (v84(constB181, bitIndex1)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22666, 22639, 22479, 22632, 22628])).
% 25.79/17.17 tff(22668,plain,
% 25.79/17.17 (v84(constB180, bitIndex1)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22590, 22667])).
% 25.79/17.17 tff(22669,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB181) | (~v116(constB181)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22670,plain,
% 25.79/17.17 (((~v116(constB181)) | v110(constB181)) <=> (v110(constB181) | (~v116(constB181)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22671,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB181)) | v110(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB181) | (~v116(constB181))))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22670])).
% 25.79/17.17 tff(22672,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB181)) | v110(constB181))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB181) | (~v116(constB181)))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22671, 22669])).
% 25.79/17.17 tff(22673,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB181)) | v110(constB181))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22674,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB181) | (~v116(constB181))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22673, 22672])).
% 25.79/17.17 tff(22675,plain,
% 25.79/17.17 (~v116(constB181)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22674, 1192, 22344])).
% 25.79/17.17 tff(22676,assumption,(v84(constB181, bitIndex1)), introduced(assumption)).
% 25.79/17.17 tff(22677,plain,
% 25.79/17.17 (v84(constB181, bitIndex0)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22472, 22643, 22676])).
% 25.79/17.17 tff(22678,assumption,(~v116(constB181)), introduced(assumption)).
% 25.79/17.17 tff(22679,plain,
% 25.79/17.17 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22680,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22681,plain,
% 25.79/17.17 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181)),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22680, 22679])).
% 25.79/17.17 tff(22682,plain,
% 25.79/17.17 ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22681, 1181, 22678])).
% 25.79/17.17 tff(22683,plain,
% 25.79/17.17 ($false),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22682, 22677, 22643, 22676])).
% 25.79/17.17 tff(22684,plain,(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v116(constB181) | v115(constB181)), inference(lemma,lemma(discharge,[]))).
% 25.79/17.17 tff(22685,plain,
% 25.79/17.17 (v84(constB181, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22684, 22667, 22675, 22358])).
% 25.79/17.17 tff(22686,plain,
% 25.79/17.17 (v84(constB180, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22423, 22685])).
% 25.79/17.17 tff(22687,plain,
% 25.79/17.17 (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22552, 1899, 22323])).
% 25.79/17.17 tff(22688,plain,
% 25.79/17.17 (v84(constB181, bitIndex0)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22687, 22685, 22667])).
% 25.79/17.17 tff(22689,plain,
% 25.79/17.17 (v84(constB180, bitIndex0)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22466, 22688])).
% 25.79/17.17 tff(22690,assumption,(v84(constB180, bitIndex1)), introduced(assumption)).
% 25.79/17.17 tff(22691,assumption,(~v94(constB180)), introduced(assumption)).
% 25.79/17.17 tff(22692,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB179, bitIndex1) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB179, bitIndex1) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex1)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22693,plain,
% 25.79/17.17 (((~nextState(constB179, constB180)) | v84(constB179, bitIndex1) | v94(constB180) | (~v84(constB180, bitIndex1))) <=> (v84(constB179, bitIndex1) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex1)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22694,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB179, constB180)) | v84(constB179, bitIndex1) | v94(constB180) | (~v84(constB180, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB179, bitIndex1) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex1))))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22693])).
% 25.79/17.17 tff(22695,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB179, constB180)) | v84(constB179, bitIndex1) | v94(constB180) | (~v84(constB180, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB179, bitIndex1) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex1)))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22694, 22692])).
% 25.79/17.17 tff(22696,plain,
% 25.79/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB179, constB180)) | v84(constB179, bitIndex1) | v94(constB180) | (~v84(constB180, bitIndex1)))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22697,plain,
% 25.79/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB179, bitIndex1) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex1))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22696, 22695])).
% 25.79/17.17 tff(22698,plain,
% 25.79/17.17 (v84(constB179, bitIndex1) | v94(constB180) | (~v84(constB180, bitIndex1))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22697, 126, 22115])).
% 25.79/17.17 tff(22699,plain,
% 25.79/17.17 (v84(constB179, bitIndex1)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22698, 22691, 22690])).
% 25.79/17.17 tff(22700,plain,
% 25.79/17.17 (v84(constB178, bitIndex1)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22076, 22699])).
% 25.79/17.17 tff(22701,assumption,(v84(constB180, bitIndex2)), introduced(assumption)).
% 25.79/17.17 tff(22702,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB179, bitIndex2) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB179, bitIndex2) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex2)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22703,plain,
% 25.79/17.17 (((~nextState(constB179, constB180)) | v84(constB179, bitIndex2) | v94(constB180) | (~v84(constB180, bitIndex2))) <=> (v84(constB179, bitIndex2) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex2)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22704,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v84(constB179, bitIndex2) | v94(constB180) | (~v84(constB180, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB179, bitIndex2) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex2))))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22703])).
% 25.79/17.17 tff(22705,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v84(constB179, bitIndex2) | v94(constB180) | (~v84(constB180, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB179, bitIndex2) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex2)))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22704, 22702])).
% 25.79/17.17 tff(22706,plain,
% 25.79/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB179, constB180)) | v84(constB179, bitIndex2) | v94(constB180) | (~v84(constB180, bitIndex2)))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22707,plain,
% 25.79/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB179, bitIndex2) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex2))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22706, 22705])).
% 25.79/17.17 tff(22708,plain,
% 25.79/17.17 (v84(constB179, bitIndex2) | v94(constB180) | (~v84(constB180, bitIndex2))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22707, 105, 22115])).
% 25.79/17.17 tff(22709,plain,
% 25.79/17.17 (v84(constB179, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22708, 22691, 22701])).
% 25.79/17.17 tff(22710,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22711,plain,
% 25.79/17.17 (((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2))) <=> (v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22712,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2))))),
% 25.79/17.17 inference(monotonicity,[status(thm)],[22711])).
% 25.79/17.17 tff(22713,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 25.79/17.17 inference(transitivity,[status(thm)],[22712, 22710])).
% 25.79/17.17 tff(22714,plain,
% 25.79/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2)))),
% 25.79/17.17 inference(quant_inst,[status(thm)],[])).
% 25.79/17.17 tff(22715,plain,
% 25.79/17.17 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB178, bitIndex2) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex2))),
% 25.79/17.17 inference(modus_ponens,[status(thm)],[22714, 22713])).
% 25.79/17.17 tff(22716,plain,
% 25.79/17.17 (v84(constB178, bitIndex2) | v94(constB179) | (~v84(constB179, bitIndex2))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22715, 105, 21906])).
% 25.79/17.17 tff(22717,plain,
% 25.79/17.17 (v84(constB178, bitIndex2) | (~v84(constB179, bitIndex2))),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22716, 21918])).
% 25.79/17.17 tff(22718,plain,
% 25.79/17.17 (v84(constB178, bitIndex2)),
% 25.79/17.17 inference(unit_resolution,[status(thm)],[22717, 22709])).
% 25.79/17.17 tff(22719,assumption,(v84(constB180, bitIndex0)), introduced(assumption)).
% 25.79/17.17 tff(22720,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB179, bitIndex0) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB179, bitIndex0) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex0)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22721,plain,
% 25.79/17.17 (((~nextState(constB179, constB180)) | v84(constB179, bitIndex0) | v94(constB180) | (~v84(constB180, bitIndex0))) <=> (v84(constB179, bitIndex0) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex0)))),
% 25.79/17.17 inference(rewrite,[status(thm)],[])).
% 25.79/17.17 tff(22722,plain,
% 25.79/17.17 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v84(constB179, bitIndex0) | v94(constB180) | (~v84(constB180, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB179, bitIndex0) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex0))))),
% 25.79/17.18 inference(monotonicity,[status(thm)],[22721])).
% 25.79/17.18 tff(22723,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v84(constB179, bitIndex0) | v94(constB180) | (~v84(constB180, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB179, bitIndex0) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex0)))),
% 25.79/17.18 inference(transitivity,[status(thm)],[22722, 22720])).
% 25.79/17.18 tff(22724,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB179, constB180)) | v84(constB179, bitIndex0) | v94(constB180) | (~v84(constB180, bitIndex0)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22725,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB179, bitIndex0) | (~nextState(constB179, constB180)) | v94(constB180) | (~v84(constB180, bitIndex0))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22724, 22723])).
% 25.79/17.18 tff(22726,plain,
% 25.79/17.18 (v84(constB179, bitIndex0) | v94(constB180) | (~v84(constB180, bitIndex0))),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22725, 147, 22115])).
% 25.79/17.18 tff(22727,plain,
% 25.79/17.18 (v84(constB179, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22726, 22691, 22719])).
% 25.79/17.18 tff(22728,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22729,plain,
% 25.79/17.18 (((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0))) <=> (v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22730,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0))))),
% 25.79/17.18 inference(monotonicity,[status(thm)],[22729])).
% 25.79/17.18 tff(22731,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 25.79/17.18 inference(transitivity,[status(thm)],[22730, 22728])).
% 25.79/17.18 tff(22732,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB178, constB179)) | v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22733,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB178, bitIndex0) | (~nextState(constB178, constB179)) | v94(constB179) | (~v84(constB179, bitIndex0))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22732, 22731])).
% 25.79/17.18 tff(22734,plain,
% 25.79/17.18 (v84(constB178, bitIndex0) | v94(constB179) | (~v84(constB179, bitIndex0))),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22733, 147, 21906])).
% 25.79/17.18 tff(22735,plain,
% 25.79/17.18 (v84(constB178, bitIndex0) | (~v84(constB179, bitIndex0))),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22734, 21918])).
% 25.79/17.18 tff(22736,plain,
% 25.79/17.18 (v84(constB178, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22735, 22727])).
% 25.79/17.18 tff(22737,assumption,(v84(constB178, bitIndex0)), introduced(assumption)).
% 25.79/17.18 tff(22738,assumption,(v118(constB175)), introduced(assumption)).
% 25.79/17.18 tff(22739,plain,
% 25.79/17.18 (v108(constB175)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21116, 1688, 22738])).
% 25.79/17.18 tff(22740,plain,
% 25.79/17.18 (v107(constB175)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21090, 249, 22739])).
% 25.79/17.18 tff(22741,plain,
% 25.79/17.18 (v106(constB175)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21658, 22740])).
% 25.79/17.18 tff(22742,plain,
% 25.79/17.18 (v102(constB175)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21665, 275, 22741])).
% 25.79/17.18 tff(22743,plain,
% 25.79/17.18 (v104(constB176)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21673, 22742])).
% 25.79/17.18 tff(22744,plain,
% 25.79/17.18 (v94(constB176)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21699, 22743])).
% 25.79/17.18 tff(22745,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB175)) | v124(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB175)) | v124(constB175, bitIndex2))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22746,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v118(constB175)) | v124(constB175, bitIndex2))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22747,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v118(constB175)) | v124(constB175, bitIndex2)),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22746, 22745])).
% 25.79/17.18 tff(22748,plain,
% 25.79/17.18 (v124(constB175, bitIndex2)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22747, 1761, 22738])).
% 25.79/17.18 tff(22749,plain,
% 25.79/17.18 (v121(constB175, bitIndex2)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21070, 22748])).
% 25.79/17.18 tff(22750,plain,
% 25.79/17.18 (v123(constB176, bitIndex2)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21078, 22749])).
% 25.79/17.18 tff(22751,plain,
% 25.79/17.18 (v84(constB176, bitIndex2) | (~v94(constB176))),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21706, 1317, 22750])).
% 25.79/17.18 tff(22752,plain,
% 25.79/17.18 (v84(constB176, bitIndex2)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22751, 22744])).
% 25.79/17.18 tff(22753,plain,
% 25.79/17.18 (v84(constB177, bitIndex2)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21733, 22752])).
% 25.79/17.18 tff(22754,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB177)) | (~v84(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB177)) | (~v84(constB177, bitIndex2)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22755,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v115(constB177)) | (~v84(constB177, bitIndex2)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22756,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v115(constB177)) | (~v84(constB177, bitIndex2))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22755, 22754])).
% 25.79/17.18 tff(22757,plain,
% 25.79/17.18 (~v115(constB177)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22756, 1974, 22753])).
% 25.79/17.18 tff(22758,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB177)) | (~v84(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB177)) | (~v84(constB177, bitIndex2)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22759,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v116(constB177)) | (~v84(constB177, bitIndex2)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22760,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v116(constB177)) | (~v84(constB177, bitIndex2))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22759, 22758])).
% 25.79/17.18 tff(22761,plain,
% 25.79/17.18 (~v116(constB177)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22760, 1985, 22753])).
% 25.79/17.18 tff(22762,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB175)) | v124(constB175, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB175)) | v124(constB175, bitIndex1))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22763,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB175)) | v124(constB175, bitIndex1))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22764,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB175)) | v124(constB175, bitIndex1)),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22763, 22762])).
% 25.79/17.18 tff(22765,plain,
% 25.79/17.18 (v124(constB175, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22764, 1817, 22738])).
% 25.79/17.18 tff(22766,plain,
% 25.79/17.18 (v121(constB175, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21972, 22765])).
% 25.79/17.18 tff(22767,plain,
% 25.79/17.18 (v123(constB176, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21967, 22766])).
% 25.79/17.18 tff(22768,plain,
% 25.79/17.18 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~v123(constB176, bitIndex1)) | (~v94(constB176)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~v123(constB176, bitIndex1)) | (~v94(constB176)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22769,plain,
% 25.79/17.18 ((v84(constB176, bitIndex1) | (~v94(constB176)) | (~v123(constB176, bitIndex1))) <=> (v84(constB176, bitIndex1) | (~v123(constB176, bitIndex1)) | (~v94(constB176)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22770,plain,
% 25.79/17.18 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~v94(constB176)) | (~v123(constB176, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~v123(constB176, bitIndex1)) | (~v94(constB176))))),
% 25.79/17.18 inference(monotonicity,[status(thm)],[22769])).
% 25.79/17.18 tff(22771,plain,
% 25.79/17.18 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~v94(constB176)) | (~v123(constB176, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~v123(constB176, bitIndex1)) | (~v94(constB176)))),
% 25.79/17.18 inference(transitivity,[status(thm)],[22770, 22768])).
% 25.79/17.18 tff(22772,plain,
% 25.79/17.18 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB176, bitIndex1) | (~v94(constB176)) | (~v123(constB176, bitIndex1)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22773,plain,
% 25.79/17.18 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB176, bitIndex1) | (~v123(constB176, bitIndex1)) | (~v94(constB176))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22772, 22771])).
% 25.79/17.18 tff(22774,plain,
% 25.79/17.18 (v84(constB176, bitIndex1) | (~v94(constB176))),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22773, 842, 22767])).
% 25.79/17.18 tff(22775,plain,
% 25.79/17.18 (v84(constB176, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22774, 22744])).
% 25.79/17.18 tff(22776,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex1))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22777,plain,
% 25.79/17.18 (((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex1)) | v94(constB177) | v84(constB177, bitIndex1)) <=> ((~v84(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex1))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22778,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex1)) | v94(constB177) | v84(constB177, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex1)))),
% 25.79/17.18 inference(monotonicity,[status(thm)],[22777])).
% 25.79/17.18 tff(22779,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex1)) | v94(constB177) | v84(constB177, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex1))),
% 25.79/17.18 inference(transitivity,[status(thm)],[22778, 22776])).
% 25.79/17.18 tff(22780,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex1)) | v94(constB177) | v84(constB177, bitIndex1))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22781,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB176, bitIndex1)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex1)),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22780, 22779])).
% 25.79/17.18 tff(22782,plain,
% 25.79/17.18 ((~v84(constB176, bitIndex1)) | v94(constB177) | v84(constB177, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22781, 860, 21713])).
% 25.79/17.18 tff(22783,plain,
% 25.79/17.18 ((~v84(constB176, bitIndex1)) | v84(constB177, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22782, 21725])).
% 25.79/17.18 tff(22784,plain,
% 25.79/17.18 (v84(constB177, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22783, 22775])).
% 25.79/17.18 tff(22785,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB177)) | (~v84(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB177)) | (~v84(constB177, bitIndex1)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22786,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB177)) | (~v84(constB177, bitIndex1)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22787,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB177)) | (~v84(constB177, bitIndex1))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22786, 22785])).
% 25.79/17.18 tff(22788,plain,
% 25.79/17.18 (~v113(constB177)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22787, 1996, 22784])).
% 25.79/17.18 tff(22789,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB177)) | (~v84(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB177)) | (~v84(constB177, bitIndex1)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22790,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v118(constB177)) | (~v84(constB177, bitIndex1)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22791,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v118(constB177)) | (~v84(constB177, bitIndex1))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22790, 22789])).
% 25.79/17.18 tff(22792,plain,
% 25.79/17.18 (~v118(constB177)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22791, 2007, 22784])).
% 25.79/17.18 tff(22793,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB177)) | (~v84(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB177)) | (~v84(constB177, bitIndex1)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22794,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v172(constB177)) | (~v84(constB177, bitIndex1)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22795,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v172(constB177)) | (~v84(constB177, bitIndex1))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22794, 22793])).
% 25.79/17.18 tff(22796,plain,
% 25.79/17.18 (~v172(constB177)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22795, 2029, 22784])).
% 25.79/17.18 tff(22797,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB175)) | (~v124(constB175, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB175)) | (~v124(constB175, bitIndex0)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22798,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB175)) | (~v124(constB175, bitIndex0)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22799,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB175)) | (~v124(constB175, bitIndex0))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22798, 22797])).
% 25.79/17.18 tff(22800,plain,
% 25.79/17.18 (~v124(constB175, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22799, 1855, 22738])).
% 25.79/17.18 tff(22801,plain,
% 25.79/17.18 (~v121(constB175, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21778, 22800])).
% 25.79/17.18 tff(22802,plain,
% 25.79/17.18 (~v123(constB176, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21783, 22801])).
% 25.79/17.18 tff(22803,plain,
% 25.79/17.18 ((~v84(constB176, bitIndex0)) | (~v94(constB176))),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21790, 923, 22802])).
% 25.79/17.18 tff(22804,plain,
% 25.79/17.18 (~v84(constB176, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22803, 22744])).
% 25.79/17.18 tff(22805,plain,
% 25.79/17.18 (~v84(constB177, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21799, 22804])).
% 25.79/17.18 tff(22806,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex0)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22807,plain,
% 25.79/17.18 (((~nextState(constB177, constB178)) | v84(constB177, bitIndex0) | v94(constB178) | (~v84(constB178, bitIndex0))) <=> (v84(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex0)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22808,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v84(constB177, bitIndex0) | v94(constB178) | (~v84(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex0))))),
% 25.79/17.18 inference(monotonicity,[status(thm)],[22807])).
% 25.79/17.18 tff(22809,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v84(constB177, bitIndex0) | v94(constB178) | (~v84(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex0)))),
% 25.79/17.18 inference(transitivity,[status(thm)],[22808, 22806])).
% 25.79/17.18 tff(22810,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v84(constB177, bitIndex0) | v94(constB178) | (~v84(constB178, bitIndex0)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22811,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB177, bitIndex0) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex0))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22810, 22809])).
% 25.79/17.18 tff(22812,plain,
% 25.79/17.18 (v84(constB177, bitIndex0) | v94(constB178) | (~v84(constB178, bitIndex0))),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22811, 147, 21844])).
% 25.79/17.18 tff(22813,plain,
% 25.79/17.18 (v94(constB178)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22812, 22805, 22737])).
% 25.79/17.18 tff(22814,plain,
% 25.79/17.18 (v123(constB178, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22048, 22813])).
% 25.79/17.18 tff(22815,plain,
% 25.79/17.18 (v121(constB177, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22053, 22814])).
% 25.79/17.18 tff(22816,plain,
% 25.79/17.18 (v124(constB177, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22061, 22815])).
% 25.79/17.18 tff(22817,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB177)) | (~v84(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB177)) | (~v84(constB177, bitIndex1)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22818,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB177)) | (~v84(constB177, bitIndex1)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22819,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB177)) | (~v84(constB177, bitIndex1))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22818, 22817])).
% 25.79/17.18 tff(22820,plain,
% 25.79/17.18 (~v145(constB177)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22819, 2018, 22784])).
% 25.79/17.18 tff(22821,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB177) | v172(constB177) | v118(constB177) | v116(constB177) | v113(constB177) | v115(constB177) | (~v124(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB177) | v172(constB177) | v118(constB177) | v116(constB177) | v113(constB177) | v115(constB177) | (~v124(constB177, bitIndex1)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22822,plain,
% 25.79/17.18 ((v113(constB177) | v145(constB177) | v115(constB177) | v116(constB177) | v172(constB177) | v118(constB177) | (~v124(constB177, bitIndex1))) <=> (v145(constB177) | v172(constB177) | v118(constB177) | v116(constB177) | v113(constB177) | v115(constB177) | (~v124(constB177, bitIndex1)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22823,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB177) | v145(constB177) | v115(constB177) | v116(constB177) | v172(constB177) | v118(constB177) | (~v124(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v145(constB177) | v172(constB177) | v118(constB177) | v116(constB177) | v113(constB177) | v115(constB177) | (~v124(constB177, bitIndex1))))),
% 25.79/17.18 inference(monotonicity,[status(thm)],[22822])).
% 25.79/17.18 tff(22824,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB177) | v145(constB177) | v115(constB177) | v116(constB177) | v172(constB177) | v118(constB177) | (~v124(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB177) | v172(constB177) | v118(constB177) | v116(constB177) | v113(constB177) | v115(constB177) | (~v124(constB177, bitIndex1)))),
% 25.79/17.18 inference(transitivity,[status(thm)],[22823, 22821])).
% 25.79/17.18 tff(22825,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB177) | v145(constB177) | v115(constB177) | v116(constB177) | v172(constB177) | v118(constB177) | (~v124(constB177, bitIndex1)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22826,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v145(constB177) | v172(constB177) | v118(constB177) | v116(constB177) | v113(constB177) | v115(constB177) | (~v124(constB177, bitIndex1))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22825, 22824])).
% 25.79/17.18 tff(22827,plain,
% 25.79/17.18 ($false),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22826, 2105, 22820, 22816, 22796, 22792, 22788, 22761, 22757])).
% 25.79/17.18 tff(22828,plain,((~v118(constB175)) | (~v84(constB178, bitIndex1)) | (~v84(constB178, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.79/17.18 tff(22829,plain,
% 25.79/17.18 (~v118(constB175)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22828, 22033, 22737])).
% 25.79/17.18 tff(22830,plain,
% 25.79/17.18 (v123(constB176, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22067, 21963, 22033, 22829])).
% 25.79/17.18 tff(22831,plain,
% 25.79/17.18 (v121(constB175, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21783, 22830])).
% 25.79/17.18 tff(22832,plain,
% 25.79/17.18 (v124(constB175, bitIndex0)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21778, 22831])).
% 25.79/17.18 tff(22833,plain,
% 25.79/17.18 (~v116(constB175)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21770, 1410, 22832])).
% 25.79/17.18 tff(22834,plain,
% 25.79/17.18 (v107(constB175)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21647, 22833, 21118, 20422, 21981, 22829, 21977])).
% 25.79/17.18 tff(22835,plain,
% 25.79/17.18 (v106(constB175)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21658, 22834])).
% 25.79/17.18 tff(22836,plain,
% 25.79/17.18 (v102(constB175)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21665, 275, 22835])).
% 25.79/17.18 tff(22837,plain,
% 25.79/17.18 (v104(constB176)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21673, 22836])).
% 25.79/17.18 tff(22838,plain,
% 25.79/17.18 (v94(constB176)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21699, 22837])).
% 25.79/17.18 tff(22839,plain,
% 25.79/17.18 (~v84(constB176, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22026, 22838])).
% 25.79/17.18 tff(22840,plain,
% 25.79/17.18 (~v84(constB177, bitIndex1)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[21766, 22839])).
% 25.79/17.18 tff(22841,plain,
% 25.79/17.18 (v94(constB178)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22040, 22840, 22033])).
% 25.79/17.18 tff(22842,assumption,(v84(constB178, bitIndex2)), introduced(assumption)).
% 25.79/17.18 tff(22843,plain,
% 25.79/17.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22844,plain,
% 25.79/17.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22845,plain,
% 25.79/17.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB178, bitIndex2)) | v123(constB178, bitIndex2) | (~v94(constB178))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22844, 22843])).
% 25.79/17.18 tff(22846,plain,
% 25.79/17.18 (v123(constB178, bitIndex2) | (~v94(constB178))),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22845, 423, 22842])).
% 25.79/17.18 tff(22847,plain,
% 25.79/17.18 (v123(constB178, bitIndex2)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22846, 22841])).
% 25.79/17.18 tff(22848,plain,
% 25.79/17.18 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22849,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22850,plain,
% 25.79/17.18 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22849, 22848])).
% 25.79/17.18 tff(22851,plain,
% 25.79/17.18 (v121(constB177, bitIndex2) | (~v123(constB178, bitIndex2))),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22850, 408, 21844])).
% 25.79/17.18 tff(22852,plain,
% 25.79/17.18 (v121(constB177, bitIndex2)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22851, 22847])).
% 25.79/17.18 tff(22853,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22854,plain,
% 25.79/17.18 ((v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2))) <=> ((~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22855,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2)))),
% 25.79/17.18 inference(monotonicity,[status(thm)],[22854])).
% 25.79/17.18 tff(22856,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2))),
% 25.79/17.18 inference(transitivity,[status(thm)],[22855, 22853])).
% 25.79/17.18 tff(22857,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB177) | v124(constB177, bitIndex2) | (~v121(constB177, bitIndex2)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22858,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB177, bitIndex2)) | v26(constB177) | v124(constB177, bitIndex2)),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22857, 22856])).
% 25.79/17.18 tff(22859,plain,
% 25.79/17.18 ((~v121(constB177, bitIndex2)) | v124(constB177, bitIndex2)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22858, 390, 21826])).
% 25.79/17.18 tff(22860,plain,
% 25.79/17.18 (v124(constB177, bitIndex2)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22859, 22852])).
% 25.79/17.18 tff(22861,plain,
% 25.79/17.18 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB177)) | (~v124(constB177, bitIndex2)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22862,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB177)) | (~v124(constB177, bitIndex2)))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22863,plain,
% 25.79/17.18 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB177)) | (~v124(constB177, bitIndex2))),
% 25.79/17.18 inference(modus_ponens,[status(thm)],[22862, 22861])).
% 25.79/17.18 tff(22864,plain,
% 25.79/17.18 (~v145(constB177)),
% 25.79/17.18 inference(unit_resolution,[status(thm)],[22863, 625, 22860])).
% 25.79/17.18 tff(22865,plain,
% 25.79/17.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22866,plain,
% 25.79/17.18 (((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0)) <=> ((~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))),
% 25.79/17.18 inference(rewrite,[status(thm)],[])).
% 25.79/17.18 tff(22867,plain,
% 25.79/17.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178))))),
% 25.79/17.18 inference(monotonicity,[status(thm)],[22866])).
% 25.79/17.18 tff(22868,plain,
% 25.79/17.18 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178)))),
% 25.79/17.18 inference(transitivity,[status(thm)],[22867, 22865])).
% 25.79/17.18 tff(22869,plain,
% 25.79/17.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB178, bitIndex0)) | (~v94(constB178)) | v123(constB178, bitIndex0))),
% 25.79/17.18 inference(quant_inst,[status(thm)],[])).
% 25.79/17.18 tff(22870,plain,
% 25.79/17.18 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB178, bitIndex0)) | v123(constB178, bitIndex0) | (~v94(constB178))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22869, 22868])).
% 25.87/17.19 tff(22871,plain,
% 25.87/17.19 (v123(constB178, bitIndex0) | (~v94(constB178))),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22870, 923, 22737])).
% 25.87/17.19 tff(22872,plain,
% 25.87/17.19 (v123(constB178, bitIndex0)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22871, 22841])).
% 25.87/17.19 tff(22873,plain,
% 25.87/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22874,plain,
% 25.87/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22875,plain,
% 25.87/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB177, constB178)) | v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22874, 22873])).
% 25.87/17.19 tff(22876,plain,
% 25.87/17.19 (v121(constB177, bitIndex0) | (~v123(constB178, bitIndex0))),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22875, 908, 21844])).
% 25.87/17.19 tff(22877,plain,
% 25.87/17.19 (v121(constB177, bitIndex0)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22876, 22872])).
% 25.87/17.19 tff(22878,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22879,plain,
% 25.87/17.19 ((v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0))) <=> ((~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22880,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0)))),
% 25.87/17.19 inference(monotonicity,[status(thm)],[22879])).
% 25.87/17.19 tff(22881,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0))),
% 25.87/17.19 inference(transitivity,[status(thm)],[22880, 22878])).
% 25.87/17.19 tff(22882,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB177) | v124(constB177, bitIndex0) | (~v121(constB177, bitIndex0)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22883,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB177, bitIndex0)) | v26(constB177) | v124(constB177, bitIndex0)),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22882, 22881])).
% 25.87/17.19 tff(22884,plain,
% 25.87/17.19 ((~v121(constB177, bitIndex0)) | v124(constB177, bitIndex0)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22883, 890, 21826])).
% 25.87/17.19 tff(22885,plain,
% 25.87/17.19 (v124(constB177, bitIndex0)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22884, 22877])).
% 25.87/17.19 tff(22886,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB177)) | (~v124(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB177)) | (~v124(constB177, bitIndex0)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22887,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v118(constB177)) | (~v124(constB177, bitIndex0)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22888,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v118(constB177)) | (~v124(constB177, bitIndex0))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22887, 22886])).
% 25.87/17.19 tff(22889,plain,
% 25.87/17.19 (~v118(constB177)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22888, 1855, 22885])).
% 25.87/17.19 tff(22890,plain,
% 25.87/17.19 (^[VarCurr: state_type] : refl(((~v116(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v116(VarCurr)) | v84(VarCurr, bitIndex1)))),
% 25.87/17.19 inference(bind,[status(th)],[])).
% 25.87/17.19 tff(22891,plain,
% 25.87/17.19 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 25.87/17.19 inference(quant_intro,[status(thm)],[22890])).
% 25.87/17.19 tff(22892,plain,
% 25.87/17.19 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22893,axiom,(![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 25.87/17.19 tff(22894,plain,
% 25.87/17.19 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22893, 22892])).
% 25.87/17.19 tff(22895,plain,(
% 25.87/17.19 ![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 25.87/17.19 inference(skolemize,[status(sab)],[22894])).
% 25.87/17.19 tff(22896,plain,
% 25.87/17.19 (![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22895, 22891])).
% 25.87/17.19 tff(22897,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v116(constB177)) | v84(constB177, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v116(constB177)) | v84(constB177, bitIndex1))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22898,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | ((~v116(constB177)) | v84(constB177, bitIndex1))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22899,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v84(VarCurr, bitIndex1))) | (~v116(constB177)) | v84(constB177, bitIndex1)),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22898, 22897])).
% 25.87/17.19 tff(22900,plain,
% 25.87/17.19 (~v116(constB177)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22899, 22896, 22840])).
% 25.87/17.19 tff(22901,plain,
% 25.87/17.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22902,plain,
% 25.87/17.19 ((v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0))) <=> (v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22903,plain,
% 25.87/17.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176))))),
% 25.87/17.19 inference(monotonicity,[status(thm)],[22902])).
% 25.87/17.19 tff(22904,plain,
% 25.87/17.19 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176)))),
% 25.87/17.19 inference(transitivity,[status(thm)],[22903, 22901])).
% 25.87/17.19 tff(22905,plain,
% 25.87/17.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB176, bitIndex0) | (~v94(constB176)) | (~v123(constB176, bitIndex0)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22906,plain,
% 25.87/17.19 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB176, bitIndex0) | (~v123(constB176, bitIndex0)) | (~v94(constB176))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22905, 22904])).
% 25.87/17.19 tff(22907,plain,
% 25.87/17.19 (v84(constB176, bitIndex0) | (~v94(constB176))),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22906, 577, 22830])).
% 25.87/17.19 tff(22908,plain,
% 25.87/17.19 (v84(constB176, bitIndex0)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22907, 22838])).
% 25.87/17.19 tff(22909,plain,
% 25.87/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22910,plain,
% 25.87/17.19 (((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0)) <=> ((~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22911,plain,
% 25.87/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0)))),
% 25.87/17.19 inference(monotonicity,[status(thm)],[22910])).
% 25.87/17.19 tff(22912,plain,
% 25.87/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0))),
% 25.87/17.19 inference(transitivity,[status(thm)],[22911, 22909])).
% 25.87/17.19 tff(22913,plain,
% 25.87/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB176, constB177)) | (~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22914,plain,
% 25.87/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB176, bitIndex0)) | (~nextState(constB176, constB177)) | v94(constB177) | v84(constB177, bitIndex0)),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22913, 22912])).
% 25.87/17.19 tff(22915,plain,
% 25.87/17.19 ((~v84(constB176, bitIndex0)) | v94(constB177) | v84(constB177, bitIndex0)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22914, 595, 21713])).
% 25.87/17.19 tff(22916,plain,
% 25.87/17.19 ((~v84(constB176, bitIndex0)) | v84(constB177, bitIndex0)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22915, 21725])).
% 25.87/17.19 tff(22917,plain,
% 25.87/17.19 (v84(constB177, bitIndex0)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22916, 22908])).
% 25.87/17.19 tff(22918,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB177)) | (~v84(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB177)) | (~v84(constB177, bitIndex0)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22919,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v113(constB177)) | (~v84(constB177, bitIndex0)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22920,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v113(constB177)) | (~v84(constB177, bitIndex0))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 25.87/17.19 tff(22921,plain,
% 25.87/17.19 (~v113(constB177)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22920, 11827, 22917])).
% 25.87/17.19 tff(22922,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB177)) | (~v84(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB177)) | (~v84(constB177, bitIndex0)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22923,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v115(constB177)) | (~v84(constB177, bitIndex0)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22924,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v115(constB177)) | (~v84(constB177, bitIndex0))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22923, 22922])).
% 25.87/17.19 tff(22925,plain,
% 25.87/17.19 (~v115(constB177)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22924, 11805, 22917])).
% 25.87/17.19 tff(22926,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB177)) | (~v84(constB177, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB177)) | (~v84(constB177, bitIndex0)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22927,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | ((~v172(constB177)) | (~v84(constB177, bitIndex0)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22928,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v84(VarCurr, bitIndex0)))) | (~v172(constB177)) | (~v84(constB177, bitIndex0))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22927, 22926])).
% 25.87/17.19 tff(22929,plain,
% 25.87/17.19 (~v172(constB177)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22928, 11816, 22917])).
% 25.87/17.19 tff(22930,plain,
% 25.87/17.19 (v123(constB178, bitIndex1)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22048, 22841])).
% 25.87/17.19 tff(22931,plain,
% 25.87/17.19 (v121(constB177, bitIndex1)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22053, 22930])).
% 25.87/17.19 tff(22932,plain,
% 25.87/17.19 (v124(constB177, bitIndex1)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22061, 22931])).
% 25.87/17.19 tff(22933,plain,
% 25.87/17.19 (v145(constB177) | v118(constB177)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22826, 2105, 22932, 22929, 22925, 22921, 22900])).
% 25.87/17.19 tff(22934,plain,
% 25.87/17.19 ($false),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22933, 22889, 22864])).
% 25.87/17.19 tff(22935,plain,(v123(constB176, bitIndex1) | (~v84(constB178, bitIndex0)) | (~v84(constB178, bitIndex2)) | (~v84(constB178, bitIndex1)) | (~v94(constB170)) | v124(constB169, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.87/17.19 tff(22936,plain,
% 25.87/17.19 (v123(constB176, bitIndex1)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22935, 22736, 22718, 22700, 21118, 20422])).
% 25.87/17.19 tff(22937,plain,
% 25.87/17.19 (v121(constB175, bitIndex1)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[21750, 22936])).
% 25.87/17.19 tff(22938,plain,
% 25.87/17.19 (v124(constB175, bitIndex1)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[21745, 22937])).
% 25.87/17.19 tff(22939,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB175)) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB175)) | (~v124(constB175, bitIndex1)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22940,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB175)) | (~v124(constB175, bitIndex1)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22941,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB175)) | (~v124(constB175, bitIndex1))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22940, 22939])).
% 25.87/17.19 tff(22942,plain,
% 25.87/17.19 (~v172(constB175)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22941, 1595, 22938])).
% 25.87/17.19 tff(22943,plain,
% 25.87/17.19 (~v116(constB175)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[21737, 1369, 22938])).
% 25.87/17.19 tff(22944,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB175)) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB175)) | (~v124(constB175, bitIndex1)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22945,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB175)) | (~v124(constB175, bitIndex1)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22946,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB175)) | (~v124(constB175, bitIndex1))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22945, 22944])).
% 25.87/17.19 tff(22947,plain,
% 25.87/17.19 (~v113(constB175)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22946, 462, 22938])).
% 25.87/17.19 tff(22948,assumption,(v145(constB175)), introduced(assumption)).
% 25.87/17.19 tff(22949,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB175) | (~v145(constB175)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB175) | (~v145(constB175)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22950,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB175) | (~v145(constB175)))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22951,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB175) | (~v145(constB175))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22950, 22949])).
% 25.87/17.19 tff(22952,plain,
% 25.87/17.19 (v112(constB175)),
% 25.87/17.19 inference(unit_resolution,[status(thm)],[22951, 677, 22948])).
% 25.87/17.19 tff(22953,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB175) | (~v112(constB175)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB175) | (~v112(constB175)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22954,plain,
% 25.87/17.19 (((~v112(constB175)) | v111(constB175)) <=> (v111(constB175) | (~v112(constB175)))),
% 25.87/17.19 inference(rewrite,[status(thm)],[])).
% 25.87/17.19 tff(22955,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB175)) | v111(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB175) | (~v112(constB175))))),
% 25.87/17.19 inference(monotonicity,[status(thm)],[22954])).
% 25.87/17.19 tff(22956,plain,
% 25.87/17.19 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB175)) | v111(constB175))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB175) | (~v112(constB175)))),
% 25.87/17.19 inference(transitivity,[status(thm)],[22955, 22953])).
% 25.87/17.19 tff(22957,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB175)) | v111(constB175))),
% 25.87/17.19 inference(quant_inst,[status(thm)],[])).
% 25.87/17.19 tff(22958,plain,
% 25.87/17.19 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB175) | (~v112(constB175))),
% 25.87/17.19 inference(modus_ponens,[status(thm)],[22957, 22956])).
% 25.88/17.19 tff(22959,plain,
% 25.88/17.19 (v111(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22958, 193, 22952])).
% 25.88/17.19 tff(22960,plain,
% 25.88/17.19 (v110(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21108, 207, 22959])).
% 25.88/17.19 tff(22961,plain,
% 25.88/17.19 (v109(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21101, 221, 22960])).
% 25.88/17.19 tff(22962,plain,
% 25.88/17.19 (v108(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21097, 235, 22961])).
% 25.88/17.19 tff(22963,plain,
% 25.88/17.19 (v107(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21090, 249, 22962])).
% 25.88/17.19 tff(22964,plain,
% 25.88/17.19 (v106(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21658, 22963])).
% 25.88/17.19 tff(22965,plain,
% 25.88/17.19 (v102(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21665, 275, 22964])).
% 25.88/17.19 tff(22966,plain,
% 25.88/17.19 (v104(constB176)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21673, 22965])).
% 25.88/17.19 tff(22967,plain,
% 25.88/17.19 (v94(constB176)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21699, 22966])).
% 25.88/17.19 tff(22968,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB175)) | (~v124(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB175)) | (~v124(constB175, bitIndex2)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(22969,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB175)) | (~v124(constB175, bitIndex2)))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(22970,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB175)) | (~v124(constB175, bitIndex2))),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[22969, 22968])).
% 25.88/17.19 tff(22971,plain,
% 25.88/17.19 (~v124(constB175, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22970, 625, 22948])).
% 25.88/17.19 tff(22972,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(22973,plain,
% 25.88/17.19 ((v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2))) <=> ((~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(22974,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2)))),
% 25.88/17.19 inference(monotonicity,[status(thm)],[22973])).
% 25.88/17.19 tff(22975,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2))),
% 25.88/17.19 inference(transitivity,[status(thm)],[22974, 22972])).
% 25.88/17.19 tff(22976,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB175) | v124(constB175, bitIndex2) | (~v121(constB175, bitIndex2)))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(22977,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB175, bitIndex2)) | v26(constB175) | v124(constB175, bitIndex2)),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[22976, 22975])).
% 25.88/17.19 tff(22978,plain,
% 25.88/17.19 ((~v121(constB175, bitIndex2)) | v124(constB175, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22977, 390, 21066])).
% 25.88/17.19 tff(22979,plain,
% 25.88/17.19 (~v121(constB175, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22978, 22971])).
% 25.88/17.19 tff(22980,plain,
% 25.88/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(22981,plain,
% 25.88/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2)))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(22982,plain,
% 25.88/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB175, constB176)) | v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2))),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[22981, 22980])).
% 25.88/17.19 tff(22983,plain,
% 25.88/17.19 (v121(constB175, bitIndex2) | (~v123(constB176, bitIndex2))),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22982, 408, 21074])).
% 25.88/17.19 tff(22984,plain,
% 25.88/17.19 (~v123(constB176, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22983, 22979])).
% 25.88/17.19 tff(22985,plain,
% 25.88/17.19 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(22986,plain,
% 25.88/17.19 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176)))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(22987,plain,
% 25.88/17.19 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB176, bitIndex2)) | v123(constB176, bitIndex2) | (~v94(constB176))),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[22986, 22985])).
% 25.88/17.19 tff(22988,plain,
% 25.88/17.19 ((~v84(constB176, bitIndex2)) | (~v94(constB176))),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22987, 423, 22984])).
% 25.88/17.19 tff(22989,plain,
% 25.88/17.19 (~v84(constB176, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22988, 22967])).
% 25.88/17.19 tff(22990,plain,
% 25.88/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(22991,plain,
% 25.88/17.19 (((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2))) <=> (v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(22992,plain,
% 25.88/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2))))),
% 25.88/17.19 inference(monotonicity,[status(thm)],[22991])).
% 25.88/17.19 tff(22993,plain,
% 25.88/17.19 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 25.88/17.19 inference(transitivity,[status(thm)],[22992, 22990])).
% 25.88/17.19 tff(22994,plain,
% 25.88/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB176, constB177)) | v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2)))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(22995,plain,
% 25.88/17.19 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB176, bitIndex2) | (~nextState(constB176, constB177)) | v94(constB177) | (~v84(constB177, bitIndex2))),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[22994, 22993])).
% 25.88/17.19 tff(22996,plain,
% 25.88/17.19 (v84(constB176, bitIndex2) | v94(constB177) | (~v84(constB177, bitIndex2))),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22995, 105, 21713])).
% 25.88/17.19 tff(22997,plain,
% 25.88/17.19 (v84(constB176, bitIndex2) | (~v84(constB177, bitIndex2))),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22996, 21725])).
% 25.88/17.19 tff(22998,plain,
% 25.88/17.19 (~v84(constB177, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22997, 22989])).
% 25.88/17.19 tff(22999,assumption,(v123(constB176, bitIndex1)), introduced(assumption)).
% 25.88/17.19 tff(23000,plain,
% 25.88/17.19 (v84(constB176, bitIndex1) | (~v94(constB176))),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22773, 842, 22999])).
% 25.88/17.19 tff(23001,plain,
% 25.88/17.19 (v84(constB176, bitIndex1)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[23000, 22967])).
% 25.88/17.19 tff(23002,plain,
% 25.88/17.19 (v84(constB177, bitIndex1)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22783, 23001])).
% 25.88/17.19 tff(23003,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB175)) | (~v124(constB175, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB175)) | (~v124(constB175, bitIndex0)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(23004,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB175)) | (~v124(constB175, bitIndex0)))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(23005,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB175)) | (~v124(constB175, bitIndex0))),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[23004, 23003])).
% 25.88/17.19 tff(23006,plain,
% 25.88/17.19 (~v124(constB175, bitIndex0)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[23005, 876, 22948])).
% 25.88/17.19 tff(23007,plain,
% 25.88/17.19 (~v121(constB175, bitIndex0)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21778, 23006])).
% 25.88/17.19 tff(23008,plain,
% 25.88/17.19 (~v123(constB176, bitIndex0)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21783, 23007])).
% 25.88/17.19 tff(23009,plain,
% 25.88/17.19 ((~v84(constB176, bitIndex0)) | (~v94(constB176))),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21790, 923, 23008])).
% 25.88/17.19 tff(23010,plain,
% 25.88/17.19 (~v84(constB176, bitIndex0)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[23009, 22967])).
% 25.88/17.19 tff(23011,plain,
% 25.88/17.19 (~v84(constB177, bitIndex0)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21799, 23010])).
% 25.88/17.19 tff(23012,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB177, bitIndex0) | (~v84(constB177, bitIndex1)) | v84(constB177, bitIndex2) | v115(constB177))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB177, bitIndex0) | (~v84(constB177, bitIndex1)) | v84(constB177, bitIndex2) | v115(constB177))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(23013,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB177, bitIndex0) | (~v84(constB177, bitIndex1)) | v84(constB177, bitIndex2) | v115(constB177))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(23014,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB177, bitIndex0) | (~v84(constB177, bitIndex1)) | v84(constB177, bitIndex2) | v115(constB177)),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[23013, 23012])).
% 25.88/17.19 tff(23015,plain,
% 25.88/17.19 (v115(constB177)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[23014, 950, 23011, 23002, 22998])).
% 25.88/17.19 tff(23016,plain,
% 25.88/17.19 (v94(constB178)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22812, 23011, 22737])).
% 25.88/17.19 tff(23017,plain,
% 25.88/17.19 (v123(constB178, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22846, 23016])).
% 25.88/17.19 tff(23018,plain,
% 25.88/17.19 (v121(constB177, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22851, 23017])).
% 25.88/17.19 tff(23019,plain,
% 25.88/17.19 (v124(constB177, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22859, 23018])).
% 25.88/17.19 tff(23020,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB177)) | (~v124(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB177)) | (~v124(constB177, bitIndex2)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(23021,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB177)) | (~v124(constB177, bitIndex2)))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(23022,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB177)) | (~v124(constB177, bitIndex2))),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[23021, 23020])).
% 25.88/17.19 tff(23023,plain,
% 25.88/17.19 ($false),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[23022, 1046, 23019, 23015])).
% 25.88/17.19 tff(23024,plain,((~v145(constB175)) | (~v84(constB178, bitIndex2)) | (~v84(constB178, bitIndex0)) | (~v123(constB176, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 25.88/17.19 tff(23025,plain,
% 25.88/17.19 (~v145(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[23024, 22718, 22736, 22936])).
% 25.88/17.19 tff(23026,plain,
% 25.88/17.19 (~v118(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22828, 22700, 22736])).
% 25.88/17.19 tff(23027,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(23028,plain,
% 25.88/17.19 ((v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1))) <=> (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(23029,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1))))),
% 25.88/17.19 inference(monotonicity,[status(thm)],[23028])).
% 25.88/17.19 tff(23030,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1)))),
% 25.88/17.19 inference(transitivity,[status(thm)],[23029, 23027])).
% 25.88/17.19 tff(23031,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB175) | v145(constB175) | v115(constB175) | v116(constB175) | v172(constB175) | v118(constB175) | (~v124(constB175, bitIndex1)))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(23032,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB175) | v145(constB175) | v118(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1))),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[23031, 23030])).
% 25.88/17.19 tff(23033,plain,
% 25.88/17.19 (v172(constB175) | v145(constB175) | v116(constB175) | v115(constB175) | v113(constB175) | (~v124(constB175, bitIndex1))),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[23032, 2105, 23026])).
% 25.88/17.19 tff(23034,plain,
% 25.88/17.19 (v115(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[23033, 23025, 22938, 22947, 22943, 22942])).
% 25.88/17.19 tff(23035,plain,
% 25.88/17.19 (v111(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21651, 961, 23034])).
% 25.88/17.19 tff(23036,plain,
% 25.88/17.19 (v110(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21108, 207, 23035])).
% 25.88/17.19 tff(23037,plain,
% 25.88/17.19 (v109(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21101, 221, 23036])).
% 25.88/17.19 tff(23038,plain,
% 25.88/17.19 (v108(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21097, 235, 23037])).
% 25.88/17.19 tff(23039,plain,
% 25.88/17.19 (v107(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21090, 249, 23038])).
% 25.88/17.19 tff(23040,plain,
% 25.88/17.19 (v106(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21658, 23039])).
% 25.88/17.19 tff(23041,plain,
% 25.88/17.19 (v102(constB175)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21665, 275, 23040])).
% 25.88/17.19 tff(23042,plain,
% 25.88/17.19 (v104(constB176)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21673, 23041])).
% 25.88/17.19 tff(23043,plain,
% 25.88/17.19 (v94(constB176)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[21699, 23042])).
% 25.88/17.19 tff(23044,plain,
% 25.88/17.19 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB175)) | (~v124(constB175, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB175)) | (~v124(constB175, bitIndex2)))),
% 25.88/17.19 inference(rewrite,[status(thm)],[])).
% 25.88/17.19 tff(23045,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB175)) | (~v124(constB175, bitIndex2)))),
% 25.88/17.19 inference(quant_inst,[status(thm)],[])).
% 25.88/17.19 tff(23046,plain,
% 25.88/17.19 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB175)) | (~v124(constB175, bitIndex2))),
% 25.88/17.19 inference(modus_ponens,[status(thm)],[23045, 23044])).
% 25.88/17.19 tff(23047,plain,
% 25.88/17.19 (~v124(constB175, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[23046, 1046, 23034])).
% 25.88/17.19 tff(23048,plain,
% 25.88/17.19 (~v121(constB175, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22978, 23047])).
% 25.88/17.19 tff(23049,plain,
% 25.88/17.19 (~v123(constB176, bitIndex2)),
% 25.88/17.19 inference(unit_resolution,[status(thm)],[22983, 23048])).
% 25.88/17.19 tff(23050,plain,
% 25.88/17.19 ((~v84(constB176, bitIndex2)) | (~v94(constB176))),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22987, 423, 23049])).
% 25.88/17.20 tff(23051,plain,
% 25.88/17.20 (~v84(constB176, bitIndex2)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23050, 23043])).
% 25.88/17.20 tff(23052,plain,
% 25.88/17.20 (~v84(constB177, bitIndex2)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22997, 23051])).
% 25.88/17.20 tff(23053,plain,
% 25.88/17.20 (v84(constB176, bitIndex1) | (~v94(constB176))),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22773, 842, 22936])).
% 25.88/17.20 tff(23054,plain,
% 25.88/17.20 (v84(constB176, bitIndex1)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23053, 23043])).
% 25.88/17.20 tff(23055,plain,
% 25.88/17.20 (v84(constB177, bitIndex1)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22783, 23054])).
% 25.88/17.20 tff(23056,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB175)) | v124(constB175, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB175)) | v124(constB175, bitIndex0))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23057,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB175)) | v124(constB175, bitIndex0))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23058,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB175)) | v124(constB175, bitIndex0)),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23057, 23056])).
% 25.88/17.20 tff(23059,plain,
% 25.88/17.20 (v124(constB175, bitIndex0)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23058, 1140, 23034])).
% 25.88/17.20 tff(23060,plain,
% 25.88/17.20 (v121(constB175, bitIndex0)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[21991, 23059])).
% 25.88/17.20 tff(23061,plain,
% 25.88/17.20 (v123(constB176, bitIndex0)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[21986, 23060])).
% 25.88/17.20 tff(23062,plain,
% 25.88/17.20 (v84(constB176, bitIndex0) | (~v94(constB176))),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22906, 577, 23061])).
% 25.88/17.20 tff(23063,plain,
% 25.88/17.20 (v84(constB176, bitIndex0)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23062, 23043])).
% 25.88/17.20 tff(23064,plain,
% 25.88/17.20 (v84(constB177, bitIndex0)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22916, 23063])).
% 25.88/17.20 tff(23065,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB177, bitIndex0)) | (~v84(constB177, bitIndex1)) | v84(constB177, bitIndex2) | v116(constB177))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB177, bitIndex0)) | (~v84(constB177, bitIndex1)) | v84(constB177, bitIndex2) | v116(constB177))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23066,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB177, bitIndex0)) | (~v84(constB177, bitIndex1)) | v84(constB177, bitIndex2) | v116(constB177))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23067,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB177, bitIndex0)) | (~v84(constB177, bitIndex1)) | v84(constB177, bitIndex2) | v116(constB177)),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23066, 23065])).
% 25.88/17.20 tff(23068,plain,
% 25.88/17.20 (v116(constB177)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23067, 1181, 23064, 23055, 23052])).
% 25.88/17.20 tff(23069,plain,
% 25.88/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex2)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23070,plain,
% 25.88/17.20 (((~nextState(constB177, constB178)) | v84(constB177, bitIndex2) | v94(constB178) | (~v84(constB178, bitIndex2))) <=> (v84(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex2)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23071,plain,
% 25.88/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v84(constB177, bitIndex2) | v94(constB178) | (~v84(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex2))))),
% 25.88/17.20 inference(monotonicity,[status(thm)],[23070])).
% 25.88/17.20 tff(23072,plain,
% 25.88/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v84(constB177, bitIndex2) | v94(constB178) | (~v84(constB178, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex2)))),
% 25.88/17.20 inference(transitivity,[status(thm)],[23071, 23069])).
% 25.88/17.20 tff(23073,plain,
% 25.88/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB177, constB178)) | v84(constB177, bitIndex2) | v94(constB178) | (~v84(constB178, bitIndex2)))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23074,plain,
% 25.88/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB177, bitIndex2) | (~nextState(constB177, constB178)) | v94(constB178) | (~v84(constB178, bitIndex2))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23073, 23072])).
% 25.88/17.20 tff(23075,plain,
% 25.88/17.20 (v84(constB177, bitIndex2) | v94(constB178) | (~v84(constB178, bitIndex2))),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23074, 105, 21844])).
% 25.88/17.20 tff(23076,plain,
% 25.88/17.20 (v94(constB178)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23075, 23052, 22718])).
% 25.88/17.20 tff(23077,plain,
% 25.88/17.20 (v123(constB178, bitIndex1) | (~v94(constB178))),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22047, 509, 22700])).
% 25.88/17.20 tff(23078,plain,
% 25.88/17.20 (v123(constB178, bitIndex1)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23077, 23076])).
% 25.88/17.20 tff(23079,plain,
% 25.88/17.20 (v121(constB177, bitIndex1)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22053, 23078])).
% 25.88/17.20 tff(23080,plain,
% 25.88/17.20 (v124(constB177, bitIndex1)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22061, 23079])).
% 25.88/17.20 tff(23081,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB177)) | (~v124(constB177, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB177)) | (~v124(constB177, bitIndex1)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23082,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB177)) | (~v124(constB177, bitIndex1)))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23083,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB177)) | (~v124(constB177, bitIndex1))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23082, 23081])).
% 25.88/17.20 tff(23084,plain,
% 25.88/17.20 ($false),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23083, 1369, 23080, 23068])).
% 25.88/17.20 tff(23085,plain,(v94(constB180) | (~v94(constB170)) | v124(constB169, bitIndex2) | (~v84(constB180, bitIndex0)) | (~v84(constB180, bitIndex2)) | (~v84(constB180, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 25.88/17.20 tff(23086,plain,
% 25.88/17.20 (v94(constB180)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23085, 22689, 20422, 21118, 22686, 22668])).
% 25.88/17.20 tff(23087,plain,
% 25.88/17.20 (v123(constB180, bitIndex2) | (~v94(constB180))),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22413, 423, 22686])).
% 25.88/17.20 tff(23088,plain,
% 25.88/17.20 (v123(constB180, bitIndex2)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23087, 23086])).
% 25.88/17.20 tff(23089,plain,
% 25.88/17.20 (v121(constB179, bitIndex2)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22409, 23088])).
% 25.88/17.20 tff(23090,plain,
% 25.88/17.20 (v124(constB179, bitIndex2)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22404, 23089])).
% 25.88/17.20 tff(23091,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB179)) | (~v124(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB179)) | (~v124(constB179, bitIndex2)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23092,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB179)) | (~v124(constB179, bitIndex2)))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23093,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB179)) | (~v124(constB179, bitIndex2))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23092, 23091])).
% 25.88/17.20 tff(23094,plain,
% 25.88/17.20 (~v115(constB179)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23093, 1046, 23090])).
% 25.88/17.20 tff(23095,plain,
% 25.88/17.20 (v123(constB180, bitIndex1) | (~v94(constB180))),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22580, 509, 22668])).
% 25.88/17.20 tff(23096,plain,
% 25.88/17.20 (v123(constB180, bitIndex1)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23095, 23086])).
% 25.88/17.20 tff(23097,plain,
% 25.88/17.20 (v121(constB179, bitIndex1)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22573, 23096])).
% 25.88/17.20 tff(23098,plain,
% 25.88/17.20 (v124(constB179, bitIndex1)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[22568, 23097])).
% 25.88/17.20 tff(23099,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB179)) | (~v124(constB179, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB179)) | (~v124(constB179, bitIndex0)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23100,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB179)) | (~v124(constB179, bitIndex0)))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23101,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB179)) | (~v124(constB179, bitIndex0))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23100, 23099])).
% 25.88/17.20 tff(23102,plain,
% 25.88/17.20 (~v116(constB179)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23101, 1410, 22610])).
% 25.88/17.20 tff(23103,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB179)) | (~v124(constB179, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB179)) | (~v124(constB179, bitIndex1)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23104,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB179)) | (~v124(constB179, bitIndex1)))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23105,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB179)) | (~v124(constB179, bitIndex1))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 25.88/17.20 tff(23106,plain,
% 25.88/17.20 (~v172(constB179)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23105, 1595, 23098])).
% 25.88/17.20 tff(23107,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB179)) | (~v124(constB179, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB179)) | (~v124(constB179, bitIndex1)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23108,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v113(constB179)) | (~v124(constB179, bitIndex1)))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23109,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v113(constB179)) | (~v124(constB179, bitIndex1))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23108, 23107])).
% 25.88/17.20 tff(23110,plain,
% 25.88/17.20 (~v113(constB179)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23109, 462, 23098])).
% 25.88/17.20 tff(23111,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | (~v124(constB179, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | (~v124(constB179, bitIndex1)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23112,plain,
% 25.88/17.20 ((v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~v124(constB179, bitIndex1))) <=> (v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | (~v124(constB179, bitIndex1)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23113,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~v124(constB179, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | (~v124(constB179, bitIndex1))))),
% 25.88/17.20 inference(monotonicity,[status(thm)],[23112])).
% 25.88/17.20 tff(23114,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~v124(constB179, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | (~v124(constB179, bitIndex1)))),
% 25.88/17.20 inference(transitivity,[status(thm)],[23113, 23111])).
% 25.88/17.20 tff(23115,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~v124(constB179, bitIndex1)))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23116,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | v172(constB179) | v115(constB179) | v116(constB179) | v145(constB179) | v113(constB179) | v118(constB179) | (~v124(constB179, bitIndex1))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23115, 23114])).
% 25.88/17.20 tff(23117,plain,
% 25.88/17.20 (v172(constB179) | v115(constB179) | v116(constB179) | v113(constB179) | v118(constB179) | (~v124(constB179, bitIndex1))),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23116, 2105, 22475])).
% 25.88/17.20 tff(23118,plain,
% 25.88/17.20 ($false),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23117, 23110, 23106, 23102, 23098, 23094, 22614])).
% 25.88/17.20 tff(23119,plain,(v107(constB181) | v124(constB169, bitIndex2) | (~v94(constB170))), inference(lemma,lemma(discharge,[]))).
% 25.88/17.20 tff(23120,plain,
% 25.88/17.20 (~v94(constB170)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23119, 22316, 22309])).
% 25.88/17.20 tff(23121,plain,
% 25.88/17.20 (~v104(constB170)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[20542, 23120])).
% 25.88/17.20 tff(23122,plain,
% 25.88/17.20 ($false),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[20516, 23121, 22308])).
% 25.88/17.20 tff(23123,plain,((~v118(constB167)) | v107(constB181)), inference(lemma,lemma(discharge,[]))).
% 25.88/17.20 tff(23124,plain,
% 25.88/17.20 (v107(constB181)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23123, 20158])).
% 25.88/17.20 tff(23125,assumption,(~v102(constB181)), introduced(assumption)).
% 25.88/17.20 tff(23126,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB181) | (~v106(constB181)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v106(constB181)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23127,plain,
% 25.88/17.20 (((~v106(constB181)) | v102(constB181)) <=> (v102(constB181) | (~v106(constB181)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23128,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB181)) | v102(constB181))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB181) | (~v106(constB181))))),
% 25.88/17.20 inference(monotonicity,[status(thm)],[23127])).
% 25.88/17.20 tff(23129,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB181)) | v102(constB181))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v106(constB181)))),
% 25.88/17.20 inference(transitivity,[status(thm)],[23128, 23126])).
% 25.88/17.20 tff(23130,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB181)) | v102(constB181))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23131,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v106(constB181))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23130, 23129])).
% 25.88/17.20 tff(23132,plain,
% 25.88/17.20 (~v106(constB181)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23131, 275, 23125])).
% 25.88/17.20 tff(23133,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB181) | (~v26(constB181)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v26(constB181)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23134,plain,
% 25.88/17.20 (((~v26(constB181)) | v102(constB181)) <=> (v102(constB181) | (~v26(constB181)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23135,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB181)) | v102(constB181))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB181) | (~v26(constB181))))),
% 25.88/17.20 inference(monotonicity,[status(thm)],[23134])).
% 25.88/17.20 tff(23136,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB181)) | v102(constB181))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v26(constB181)))),
% 25.88/17.20 inference(transitivity,[status(thm)],[23135, 23133])).
% 25.88/17.20 tff(23137,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB181)) | v102(constB181))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23138,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB181) | (~v26(constB181))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23137, 23136])).
% 25.88/17.20 tff(23139,plain,
% 25.88/17.20 (~v26(constB181)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23138, 660, 23125])).
% 25.88/17.20 tff(23140,assumption,(v107(constB181)), introduced(assumption)).
% 25.88/17.20 tff(23141,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23142,plain,
% 25.88/17.20 ((v26(constB181) | (~v107(constB181)) | v106(constB181)) <=> (v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23143,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181))))),
% 25.88/17.20 inference(monotonicity,[status(thm)],[23142])).
% 25.88/17.20 tff(23144,plain,
% 25.88/17.20 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 25.88/17.20 inference(transitivity,[status(thm)],[23143, 23141])).
% 25.88/17.20 tff(23145,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23146,plain,
% 25.88/17.20 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23145, 23144])).
% 25.88/17.20 tff(23147,plain,
% 25.88/17.20 (v26(constB181) | v106(constB181)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23146, 263, 23140])).
% 25.88/17.20 tff(23148,plain,
% 25.88/17.20 ($false),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23147, 23139, 23132])).
% 25.88/17.20 tff(23149,plain,(v102(constB181) | (~v107(constB181))), inference(lemma,lemma(discharge,[]))).
% 25.88/17.20 tff(23150,plain,
% 25.88/17.20 (v102(constB181)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23149, 23124])).
% 25.88/17.20 tff(23151,plain,
% 25.88/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23152,plain,
% 25.88/17.20 (((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182)) <=> ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 25.88/17.20 inference(rewrite,[status(thm)],[])).
% 25.88/17.20 tff(23153,plain,
% 25.88/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))))),
% 25.88/17.20 inference(monotonicity,[status(thm)],[23152])).
% 25.88/17.20 tff(23154,plain,
% 25.88/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 25.88/17.20 inference(transitivity,[status(thm)],[23153, 23151])).
% 25.88/17.20 tff(23155,plain,
% 25.88/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))),
% 25.88/17.20 inference(quant_inst,[status(thm)],[])).
% 25.88/17.20 tff(23156,plain,
% 25.88/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))),
% 25.88/17.20 inference(modus_ponens,[status(thm)],[23155, 23154])).
% 25.88/17.20 tff(23157,plain,
% 25.88/17.20 (v104(constB182) | (~v102(constB181))),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23156, 295, 22275])).
% 25.88/17.20 tff(23158,plain,
% 25.88/17.20 (v104(constB182)),
% 25.88/17.20 inference(unit_resolution,[status(thm)],[23157, 23150])).
% 25.88/17.20 tff(23159,plain,
% 25.88/17.20 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23160,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(23161,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23160, 23159])).
% 25.89/17.20 tff(23162,plain,
% 25.89/17.20 (~v98(constB182)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23161, 313, 22275, 22174])).
% 25.89/17.20 tff(23163,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23164,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(23165,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23164, 23163])).
% 25.89/17.20 tff(23166,plain,
% 25.89/17.20 (v96(constB182) | v98(constB182)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23165, 327, 22275])).
% 25.89/17.20 tff(23167,plain,
% 25.89/17.20 (v96(constB182)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23166, 23162])).
% 25.89/17.20 tff(23168,plain,
% 25.89/17.20 (v1(constB182) <=> v1(constB182)),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23169,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 25.89/17.20 tff(23170,plain,
% 25.89/17.20 (v1(constB182)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23169, 23168])).
% 25.89/17.20 tff(23171,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23172,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(23173,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23172, 23171])).
% 25.89/17.20 tff(23174,plain,
% 25.89/17.20 (v95(constB182) | (~v96(constB182))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23173, 345, 22275, 23170])).
% 25.89/17.20 tff(23175,plain,
% 25.89/17.20 (v95(constB182)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23174, 23167])).
% 25.89/17.20 tff(23176,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23177,plain,
% 25.89/17.20 (((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182)) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23178,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[23177])).
% 25.89/17.20 tff(23179,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[23178, 23176])).
% 25.89/17.20 tff(23180,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(23181,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | v94(constB182) | (~v95(constB182)) | (~v104(constB182))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23180, 23179])).
% 25.89/17.20 tff(23182,plain,
% 25.89/17.20 (v94(constB182) | (~v95(constB182)) | (~v104(constB182))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23181, 360, 22275])).
% 25.89/17.20 tff(23183,plain,
% 25.89/17.20 (v94(constB182) | (~v104(constB182))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23182, 23175])).
% 25.89/17.20 tff(23184,plain,
% 25.89/17.20 (v94(constB182)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23183, 23158])).
% 25.89/17.20 tff(23185,plain,
% 25.89/17.20 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23186,plain,
% 25.89/17.20 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(23187,plain,
% 25.89/17.20 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2) | (~v94(constB182))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23186, 23185])).
% 25.89/17.20 tff(23188,plain,
% 25.89/17.20 ((~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23187, 423, 23184])).
% 25.89/17.20 tff(23189,plain,
% 25.89/17.20 (~v84(constB182, bitIndex2)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23188, 22280])).
% 25.89/17.20 tff(23190,plain,
% 25.89/17.20 ((~v1(constB183)) <=> (~v1(constB183))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23191,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 25.89/17.20 tff(23192,plain,
% 25.89/17.20 (~v1(constB183)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23191, 23190])).
% 25.89/17.20 tff(23193,plain,
% 25.89/17.20 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23194,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 25.89/17.20 tff(23195,plain,
% 25.89/17.20 (nextState(constB182, constB183)),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23194, 23193])).
% 25.89/17.20 tff(23196,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23197,plain,
% 25.89/17.20 (((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23198,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[23197])).
% 25.89/17.20 tff(23199,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[23198, 23196])).
% 25.89/17.20 tff(23200,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(23201,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23200, 23199])).
% 25.89/17.20 tff(23202,plain,
% 25.89/17.20 (~v95(constB183)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23201, 73, 23195, 23192])).
% 25.89/17.20 tff(23203,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23204,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(23205,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23204, 23203])).
% 25.89/17.20 tff(23206,plain,
% 25.89/17.20 (v95(constB183) | (~v94(constB183))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23205, 90, 23195])).
% 25.89/17.20 tff(23207,plain,
% 25.89/17.20 (~v94(constB183)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23206, 23202])).
% 25.89/17.20 tff(23208,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23209,plain,
% 25.89/17.20 (((~nextState(constB182, constB183)) | v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2))) <=> (v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2)))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23210,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2))))),
% 25.89/17.20 inference(monotonicity,[status(thm)],[23209])).
% 25.89/17.20 tff(23211,plain,
% 25.89/17.20 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2)))),
% 25.89/17.20 inference(transitivity,[status(thm)],[23210, 23208])).
% 25.89/17.20 tff(23212,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2)))),
% 25.89/17.20 inference(quant_inst,[status(thm)],[])).
% 25.89/17.20 tff(23213,plain,
% 25.89/17.20 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB182, bitIndex2) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex2))),
% 25.89/17.20 inference(modus_ponens,[status(thm)],[23212, 23211])).
% 25.89/17.20 tff(23214,plain,
% 25.89/17.20 (v84(constB182, bitIndex2) | v94(constB183) | (~v84(constB183, bitIndex2))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23213, 105, 23195])).
% 25.89/17.20 tff(23215,plain,
% 25.89/17.20 (v84(constB182, bitIndex2) | (~v84(constB183, bitIndex2))),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23214, 23207])).
% 25.89/17.20 tff(23216,plain,
% 25.89/17.20 (~v84(constB183, bitIndex2)),
% 25.89/17.20 inference(unit_resolution,[status(thm)],[23215, 23189])).
% 25.89/17.20 tff(23217,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23218,plain,
% 25.89/17.20 ((v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex1))) <=> ((~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 25.89/17.20 inference(rewrite,[status(thm)],[])).
% 25.89/17.20 tff(23219,plain,
% 25.89/17.20 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | ((~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23218])).
% 25.89/17.21 tff(23220,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23219, 23217])).
% 25.89/17.21 tff(23221,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~v124(constB181, bitIndex1)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23222,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~v124(VarCurr, bitIndex1)))) | (~v124(constB181, bitIndex1)) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23221, 23220])).
% 25.89/17.21 tff(23223,plain,
% 25.89/17.21 (~v124(constB181, bitIndex1)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23222, 2105, 22253, 22249, 22245, 22241, 22237, 22202])).
% 25.89/17.21 tff(23224,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23225,plain,
% 25.89/17.21 ((v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1))) <=> ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23226,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1)))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23225])).
% 25.89/17.21 tff(23227,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23226, 23224])).
% 25.89/17.21 tff(23228,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB181) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23229,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB181, bitIndex1)) | v26(constB181) | v124(constB181, bitIndex1)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23228, 23227])).
% 25.89/17.21 tff(23230,plain,
% 25.89/17.21 ((~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23229, 476, 22264])).
% 25.89/17.21 tff(23231,plain,
% 25.89/17.21 (~v121(constB181, bitIndex1)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23230, 23223])).
% 25.89/17.21 tff(23232,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23233,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23234,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB181, constB182)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23233, 23232])).
% 25.89/17.21 tff(23235,plain,
% 25.89/17.21 (v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23234, 494, 22275])).
% 25.89/17.21 tff(23236,plain,
% 25.89/17.21 (~v123(constB182, bitIndex1)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23235, 23231])).
% 25.89/17.21 tff(23237,plain,
% 25.89/17.21 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23238,plain,
% 25.89/17.21 (((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1)) <=> ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23239,plain,
% 25.89/17.21 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23238])).
% 25.89/17.21 tff(23240,plain,
% 25.89/17.21 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23239, 23237])).
% 25.89/17.21 tff(23241,plain,
% 25.89/17.21 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB182, bitIndex1)) | (~v94(constB182)) | v123(constB182, bitIndex1))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23242,plain,
% 25.89/17.21 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1) | (~v94(constB182))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23241, 23240])).
% 25.89/17.21 tff(23243,plain,
% 25.89/17.21 ((~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23242, 509, 23184])).
% 25.89/17.21 tff(23244,plain,
% 25.89/17.21 (~v84(constB182, bitIndex1)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23243, 23236])).
% 25.89/17.21 tff(23245,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23246,plain,
% 25.89/17.21 (((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1))) <=> (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23247,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23246])).
% 25.89/17.21 tff(23248,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23247, 23245])).
% 25.89/17.21 tff(23249,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB182, constB183)) | v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23250,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB182, bitIndex1) | (~nextState(constB182, constB183)) | v94(constB183) | (~v84(constB183, bitIndex1))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23249, 23248])).
% 25.89/17.21 tff(23251,plain,
% 25.89/17.21 (v84(constB182, bitIndex1) | v94(constB183) | (~v84(constB183, bitIndex1))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23250, 126, 23195])).
% 25.89/17.21 tff(23252,plain,
% 25.89/17.21 (v84(constB182, bitIndex1) | (~v84(constB183, bitIndex1))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23251, 23207])).
% 25.89/17.21 tff(23253,plain,
% 25.89/17.21 (~v84(constB183, bitIndex1)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23252, 23244])).
% 25.89/17.21 tff(23254,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23255,plain,
% 25.89/17.21 ((v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | v124(constB181, bitIndex0)) <=> (v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23256,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | v124(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23255])).
% 25.89/17.21 tff(23257,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | v124(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23256, 23254])).
% 25.89/17.21 tff(23258,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | v124(constB181, bitIndex0))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23259,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | v124(VarCurr, bitIndex0))) | v124(constB181, bitIndex0) | v118(constB181) | v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 25.89/17.21 tff(23260,plain,
% 25.89/17.21 (v124(constB181, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23259, 2152, 22253, 22249, 22245, 22241, 22237, 22202])).
% 25.89/17.21 tff(23261,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB181) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB181) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23262,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB181) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23263,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB181) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23262, 23261])).
% 25.89/17.21 tff(23264,plain,
% 25.89/17.21 ((~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23263, 547, 22264])).
% 25.89/17.21 tff(23265,plain,
% 25.89/17.21 (v121(constB181, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23264, 23260])).
% 25.89/17.21 tff(23266,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23267,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB181, constB182)) | (~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23268,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB181, constB182)) | (~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23267, 23266])).
% 25.89/17.21 tff(23269,plain,
% 25.89/17.21 ((~v121(constB181, bitIndex0)) | v123(constB182, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23268, 562, 22275])).
% 25.89/17.21 tff(23270,plain,
% 25.89/17.21 (v123(constB182, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23269, 23265])).
% 25.89/17.21 tff(23271,plain,
% 25.89/17.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23272,plain,
% 25.89/17.21 ((v84(constB182, bitIndex0) | (~v94(constB182)) | (~v123(constB182, bitIndex0))) <=> (v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23273,plain,
% 25.89/17.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v94(constB182)) | (~v123(constB182, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23272])).
% 25.89/17.21 tff(23274,plain,
% 25.89/17.21 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v94(constB182)) | (~v123(constB182, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23273, 23271])).
% 25.89/17.21 tff(23275,plain,
% 25.89/17.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB182, bitIndex0) | (~v94(constB182)) | (~v123(constB182, bitIndex0)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23276,plain,
% 25.89/17.21 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)) | (~v94(constB182))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23275, 23274])).
% 25.89/17.21 tff(23277,plain,
% 25.89/17.21 (v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23276, 577, 23184])).
% 25.89/17.21 tff(23278,plain,
% 25.89/17.21 (v84(constB182, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23277, 23270])).
% 25.89/17.21 tff(23279,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23280,plain,
% 25.89/17.21 (((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0)) <=> ((~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23281,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0)))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23280])).
% 25.89/17.21 tff(23282,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23281, 23279])).
% 25.89/17.21 tff(23283,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB182, constB183)) | (~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23284,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB182, bitIndex0)) | (~nextState(constB182, constB183)) | v94(constB183) | v84(constB183, bitIndex0)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23283, 23282])).
% 25.89/17.21 tff(23285,plain,
% 25.89/17.21 ((~v84(constB182, bitIndex0)) | v94(constB183) | v84(constB183, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23284, 595, 23195])).
% 25.89/17.21 tff(23286,plain,
% 25.89/17.21 ((~v84(constB182, bitIndex0)) | v84(constB183, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23285, 23207])).
% 25.89/17.21 tff(23287,plain,
% 25.89/17.21 (v84(constB183, bitIndex0)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23286, 23278])).
% 25.89/17.21 tff(23288,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23289,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23290,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23289, 23288])).
% 25.89/17.21 tff(23291,plain,
% 25.89/17.21 (v145(constB183)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23290, 614, 23287, 23253, 23216])).
% 25.89/17.21 tff(23292,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB183) | (~v145(constB183)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB183) | (~v145(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23293,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB183) | (~v145(constB183)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23294,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB183) | (~v145(constB183))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 25.89/17.21 tff(23295,plain,
% 25.89/17.21 (v112(constB183)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23294, 677, 23291])).
% 25.89/17.21 tff(23296,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB183)) | v111(constB183))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB183)) | v111(constB183))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23297,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB183)) | v111(constB183))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23298,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (~v112(constB183)) | v111(constB183)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 25.89/17.21 tff(23299,plain,
% 25.89/17.21 (v111(constB183)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23298, 193, 23295])).
% 25.89/17.21 tff(23300,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB183) | (~v111(constB183)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB183) | (~v111(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23301,plain,
% 25.89/17.21 (((~v111(constB183)) | v110(constB183)) <=> (v110(constB183) | (~v111(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23302,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB183)) | v110(constB183))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB183) | (~v111(constB183))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23301])).
% 25.89/17.21 tff(23303,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB183)) | v110(constB183))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB183) | (~v111(constB183)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23302, 23300])).
% 25.89/17.21 tff(23304,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB183)) | v110(constB183))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23305,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB183) | (~v111(constB183))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23304, 23303])).
% 25.89/17.21 tff(23306,plain,
% 25.89/17.21 (v110(constB183)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23305, 207, 23299])).
% 25.89/17.21 tff(23307,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB183) | (~v110(constB183)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB183) | (~v110(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23308,plain,
% 25.89/17.21 (((~v110(constB183)) | v109(constB183)) <=> (v109(constB183) | (~v110(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23309,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB183)) | v109(constB183))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB183) | (~v110(constB183))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23308])).
% 25.89/17.21 tff(23310,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB183)) | v109(constB183))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB183) | (~v110(constB183)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23309, 23307])).
% 25.89/17.21 tff(23311,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB183)) | v109(constB183))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23312,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB183) | (~v110(constB183))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23311, 23310])).
% 25.89/17.21 tff(23313,plain,
% 25.89/17.21 (v109(constB183)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23312, 221, 23306])).
% 25.89/17.21 tff(23314,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v109(constB183)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v109(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23315,plain,
% 25.89/17.21 (((~v109(constB183)) | v108(constB183)) <=> (v108(constB183) | (~v109(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23316,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB183) | (~v109(constB183))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23315])).
% 25.89/17.21 tff(23317,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB183)) | v108(constB183))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v109(constB183)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23316, 23314])).
% 25.89/17.21 tff(23318,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB183)) | v108(constB183))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23319,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB183) | (~v109(constB183))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23318, 23317])).
% 25.89/17.21 tff(23320,plain,
% 25.89/17.21 (v108(constB183)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23319, 235, 23313])).
% 25.89/17.21 tff(23321,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB183)) | v107(constB183))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB183)) | v107(constB183))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23322,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB183)) | v107(constB183))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23323,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (~v108(constB183)) | v107(constB183)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23322, 23321])).
% 25.89/17.21 tff(23324,plain,
% 25.89/17.21 (v107(constB183)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23323, 249, 23320])).
% 25.89/17.21 tff(23325,assumption,(v26(constB183)), introduced(assumption)).
% 25.89/17.21 tff(23326,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB183))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23327,plain,
% 25.89/17.21 ($false),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23326, 18, 23325])).
% 25.89/17.21 tff(23328,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.21 tff(23329,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23330,plain,
% 25.89/17.21 ((v26(constB183) | (~v107(constB183)) | v106(constB183)) <=> (v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23331,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23330])).
% 25.89/17.21 tff(23332,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23331, 23329])).
% 25.89/17.21 tff(23333,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23334,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23333, 23332])).
% 25.89/17.21 tff(23335,plain,
% 25.89/17.21 (v106(constB183) | (~v107(constB183))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23334, 263, 23328])).
% 25.89/17.21 tff(23336,plain,
% 25.89/17.21 (v106(constB183)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23335, 23324])).
% 25.89/17.21 tff(23337,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB183) | (~v106(constB183)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB183) | (~v106(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23338,plain,
% 25.89/17.21 (((~v106(constB183)) | v102(constB183)) <=> (v102(constB183) | (~v106(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23339,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB183)) | v102(constB183))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB183) | (~v106(constB183))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23338])).
% 25.89/17.21 tff(23340,plain,
% 25.89/17.21 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB183)) | v102(constB183))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB183) | (~v106(constB183)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23339, 23337])).
% 25.89/17.21 tff(23341,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB183)) | v102(constB183))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23342,plain,
% 25.89/17.21 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB183) | (~v106(constB183))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23341, 23340])).
% 25.89/17.21 tff(23343,plain,
% 25.89/17.21 (v102(constB183)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23342, 275, 23336])).
% 25.89/17.21 tff(23344,plain,
% 25.89/17.21 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23345,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 25.89/17.21 tff(23346,plain,
% 25.89/17.21 (nextState(constB183, constB184)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 25.89/17.21 tff(23347,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23348,plain,
% 25.89/17.21 (((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184)) <=> ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23349,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))))),
% 25.89/17.21 inference(monotonicity,[status(thm)],[23348])).
% 25.89/17.21 tff(23350,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 25.89/17.21 inference(transitivity,[status(thm)],[23349, 23347])).
% 25.89/17.21 tff(23351,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23352,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23351, 23350])).
% 25.89/17.21 tff(23353,plain,
% 25.89/17.21 (v104(constB184) | (~v102(constB183))),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23352, 295, 23346])).
% 25.89/17.21 tff(23354,plain,
% 25.89/17.21 (v104(constB184)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23353, 23343])).
% 25.89/17.21 tff(23355,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23356,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23357,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23356, 23355])).
% 25.89/17.21 tff(23358,plain,
% 25.89/17.21 (~v98(constB184)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23357, 313, 23346, 23192])).
% 25.89/17.21 tff(23359,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23360,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23361,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23360, 23359])).
% 25.89/17.21 tff(23362,plain,
% 25.89/17.21 (v96(constB184) | v98(constB184)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23361, 327, 23346])).
% 25.89/17.21 tff(23363,plain,
% 25.89/17.21 (v96(constB184)),
% 25.89/17.21 inference(unit_resolution,[status(thm)],[23362, 23358])).
% 25.89/17.21 tff(23364,plain,
% 25.89/17.21 (v1(constB184) <=> v1(constB184)),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23365,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 25.89/17.21 tff(23366,plain,
% 25.89/17.21 (v1(constB184)),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23365, 23364])).
% 25.89/17.21 tff(23367,plain,
% 25.89/17.21 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 25.89/17.21 inference(rewrite,[status(thm)],[])).
% 25.89/17.21 tff(23368,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 25.89/17.21 inference(quant_inst,[status(thm)],[])).
% 25.89/17.21 tff(23369,plain,
% 25.89/17.21 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184))),
% 25.89/17.21 inference(modus_ponens,[status(thm)],[23368, 23367])).
% 25.89/17.22 tff(23370,plain,
% 25.89/17.22 (v95(constB184) | (~v96(constB184))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23369, 345, 23346, 23366])).
% 25.89/17.22 tff(23371,plain,
% 25.89/17.22 (v95(constB184)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23370, 23363])).
% 25.89/17.22 tff(23372,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23373,plain,
% 25.89/17.22 (((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184)) <=> ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23374,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184))))),
% 25.89/17.22 inference(monotonicity,[status(thm)],[23373])).
% 25.89/17.22 tff(23375,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184)))),
% 25.89/17.22 inference(transitivity,[status(thm)],[23374, 23372])).
% 25.89/17.22 tff(23376,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23377,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | v94(constB184) | (~v95(constB184)) | (~v104(constB184))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23376, 23375])).
% 25.89/17.22 tff(23378,plain,
% 25.89/17.22 (v94(constB184) | (~v95(constB184)) | (~v104(constB184))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23377, 360, 23346])).
% 25.89/17.22 tff(23379,plain,
% 25.89/17.22 (v94(constB184) | (~v104(constB184))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23378, 23371])).
% 25.89/17.22 tff(23380,plain,
% 25.89/17.22 (v94(constB184)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23379, 23354])).
% 25.89/17.22 tff(23381,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB183)) | (~v124(constB183, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB183)) | (~v124(constB183, bitIndex2)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23382,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v145(constB183)) | (~v124(constB183, bitIndex2)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23383,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v145(constB183)) | (~v124(constB183, bitIndex2))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23382, 23381])).
% 25.89/17.22 tff(23384,plain,
% 25.89/17.22 (~v124(constB183, bitIndex2)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23383, 625, 23291])).
% 25.89/17.22 tff(23385,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23386,plain,
% 25.89/17.22 ((v26(constB183) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2))) <=> ((~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23387,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB183) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2)))),
% 25.89/17.22 inference(monotonicity,[status(thm)],[23386])).
% 25.89/17.22 tff(23388,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB183) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2))),
% 25.89/17.22 inference(transitivity,[status(thm)],[23387, 23385])).
% 25.89/17.22 tff(23389,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB183) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23390,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB183, bitIndex2)) | v26(constB183) | v124(constB183, bitIndex2)),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23389, 23388])).
% 25.89/17.22 tff(23391,plain,
% 25.89/17.22 ((~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23390, 390, 23328])).
% 25.89/17.22 tff(23392,plain,
% 25.89/17.22 (~v121(constB183, bitIndex2)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23391, 23384])).
% 25.89/17.22 tff(23393,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23394,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23395,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23394, 23393])).
% 25.89/17.22 tff(23396,plain,
% 25.89/17.22 (v121(constB183, bitIndex2) | (~v123(constB184, bitIndex2))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23395, 408, 23346])).
% 25.89/17.22 tff(23397,plain,
% 25.89/17.22 (~v123(constB184, bitIndex2)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23396, 23392])).
% 25.89/17.22 tff(23398,plain,
% 25.89/17.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23399,plain,
% 25.89/17.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23400,plain,
% 25.89/17.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2) | (~v94(constB184))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23399, 23398])).
% 25.89/17.22 tff(23401,plain,
% 25.89/17.22 ((~v84(constB184, bitIndex2)) | (~v94(constB184))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23400, 423, 23397])).
% 25.89/17.22 tff(23402,plain,
% 25.89/17.22 (~v84(constB184, bitIndex2)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23401, 23380])).
% 25.89/17.22 tff(23403,plain,
% 25.89/17.22 ((~v1(constB185)) <=> (~v1(constB185))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23404,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 25.89/17.22 tff(23405,plain,
% 25.89/17.22 (~v1(constB185)),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23404, 23403])).
% 25.89/17.22 tff(23406,plain,
% 25.89/17.22 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23407,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 25.89/17.22 tff(23408,plain,
% 25.89/17.22 (nextState(constB184, constB185)),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23407, 23406])).
% 25.89/17.22 tff(23409,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23410,plain,
% 25.89/17.22 (((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23411,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))))),
% 25.89/17.22 inference(monotonicity,[status(thm)],[23410])).
% 25.89/17.22 tff(23412,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 25.89/17.22 inference(transitivity,[status(thm)],[23411, 23409])).
% 25.89/17.22 tff(23413,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23414,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23413, 23412])).
% 25.89/17.22 tff(23415,plain,
% 25.89/17.22 (~v95(constB185)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23414, 73, 23408, 23405])).
% 25.89/17.22 tff(23416,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23417,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23418,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23417, 23416])).
% 25.89/17.22 tff(23419,plain,
% 25.89/17.22 (v95(constB185) | (~v94(constB185))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23418, 90, 23408])).
% 25.89/17.22 tff(23420,plain,
% 25.89/17.22 (~v94(constB185)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23419, 23415])).
% 25.89/17.22 tff(23421,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23422,plain,
% 25.89/17.22 (((~nextState(constB184, constB185)) | v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2))) <=> (v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23423,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2))))),
% 25.89/17.22 inference(monotonicity,[status(thm)],[23422])).
% 25.89/17.22 tff(23424,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2)))),
% 25.89/17.22 inference(transitivity,[status(thm)],[23423, 23421])).
% 25.89/17.22 tff(23425,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23426,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB184, bitIndex2) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex2))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 25.89/17.22 tff(23427,plain,
% 25.89/17.22 (v84(constB184, bitIndex2) | v94(constB185) | (~v84(constB185, bitIndex2))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23426, 105, 23408])).
% 25.89/17.22 tff(23428,plain,
% 25.89/17.22 (v84(constB184, bitIndex2) | (~v84(constB185, bitIndex2))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23427, 23420])).
% 25.89/17.22 tff(23429,plain,
% 25.89/17.22 (~v84(constB185, bitIndex2)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23428, 23402])).
% 25.89/17.22 tff(23430,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB183)) | v124(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB183)) | v124(constB183, bitIndex1))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23431,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v145(constB183)) | v124(constB183, bitIndex1))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23432,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v145(constB183)) | v124(constB183, bitIndex1)),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23431, 23430])).
% 25.89/17.22 tff(23433,plain,
% 25.89/17.22 (v124(constB183, bitIndex1)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23432, 798, 23291])).
% 25.89/17.22 tff(23434,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23435,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23436,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB183) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23435, 23434])).
% 25.89/17.22 tff(23437,plain,
% 25.89/17.22 ((~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23436, 812, 23328])).
% 25.89/17.22 tff(23438,plain,
% 25.89/17.22 (v121(constB183, bitIndex1)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23437, 23433])).
% 25.89/17.22 tff(23439,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23440,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23441,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB183, constB184)) | (~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1)),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23440, 23439])).
% 25.89/17.22 tff(23442,plain,
% 25.89/17.22 ((~v121(constB183, bitIndex1)) | v123(constB184, bitIndex1)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23441, 827, 23346])).
% 25.89/17.22 tff(23443,plain,
% 25.89/17.22 (v123(constB184, bitIndex1)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23442, 23438])).
% 25.89/17.22 tff(23444,plain,
% 25.89/17.22 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23445,plain,
% 25.89/17.22 ((v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1))) <=> (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23446,plain,
% 25.89/17.22 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184))))),
% 25.89/17.22 inference(monotonicity,[status(thm)],[23445])).
% 25.89/17.22 tff(23447,plain,
% 25.89/17.22 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184)))),
% 25.89/17.22 inference(transitivity,[status(thm)],[23446, 23444])).
% 25.89/17.22 tff(23448,plain,
% 25.89/17.22 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23449,plain,
% 25.89/17.22 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)) | (~v94(constB184))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23448, 23447])).
% 25.89/17.22 tff(23450,plain,
% 25.89/17.22 (v84(constB184, bitIndex1) | (~v94(constB184))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23449, 842, 23443])).
% 25.89/17.22 tff(23451,plain,
% 25.89/17.22 (v84(constB184, bitIndex1)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23450, 23380])).
% 25.89/17.22 tff(23452,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23453,plain,
% 25.89/17.22 (((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1)) <=> ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23454,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1)))),
% 25.89/17.22 inference(monotonicity,[status(thm)],[23453])).
% 25.89/17.22 tff(23455,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1))),
% 25.89/17.22 inference(transitivity,[status(thm)],[23454, 23452])).
% 25.89/17.22 tff(23456,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB184, constB185)) | (~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23457,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB184, bitIndex1)) | (~nextState(constB184, constB185)) | v94(constB185) | v84(constB185, bitIndex1)),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23456, 23455])).
% 25.89/17.22 tff(23458,plain,
% 25.89/17.22 ((~v84(constB184, bitIndex1)) | v94(constB185) | v84(constB185, bitIndex1)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23457, 860, 23408])).
% 25.89/17.22 tff(23459,plain,
% 25.89/17.22 ((~v84(constB184, bitIndex1)) | v84(constB185, bitIndex1)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23458, 23420])).
% 25.89/17.22 tff(23460,plain,
% 25.89/17.22 (v84(constB185, bitIndex1)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23459, 23451])).
% 25.89/17.22 tff(23461,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB183)) | (~v124(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB183)) | (~v124(constB183, bitIndex0)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23462,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v145(constB183)) | (~v124(constB183, bitIndex0)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23463,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v145(constB183)) | (~v124(constB183, bitIndex0))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23462, 23461])).
% 25.89/17.22 tff(23464,plain,
% 25.89/17.22 (~v124(constB183, bitIndex0)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23463, 876, 23291])).
% 25.89/17.22 tff(23465,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23466,plain,
% 25.89/17.22 ((v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0))) <=> ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23467,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0)))),
% 25.89/17.22 inference(monotonicity,[status(thm)],[23466])).
% 25.89/17.22 tff(23468,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0))),
% 25.89/17.22 inference(transitivity,[status(thm)],[23467, 23465])).
% 25.89/17.22 tff(23469,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB183) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23470,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB183, bitIndex0)) | v26(constB183) | v124(constB183, bitIndex0)),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 25.89/17.22 tff(23471,plain,
% 25.89/17.22 ((~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23470, 890, 23328])).
% 25.89/17.22 tff(23472,plain,
% 25.89/17.22 (~v121(constB183, bitIndex0)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23471, 23464])).
% 25.89/17.22 tff(23473,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23474,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23475,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB183, constB184)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23474, 23473])).
% 25.89/17.22 tff(23476,plain,
% 25.89/17.22 (v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23475, 908, 23346])).
% 25.89/17.22 tff(23477,plain,
% 25.89/17.22 (~v123(constB184, bitIndex0)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23476, 23472])).
% 25.89/17.22 tff(23478,plain,
% 25.89/17.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23479,plain,
% 25.89/17.22 (((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0)) <=> ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23480,plain,
% 25.89/17.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184))))),
% 25.89/17.22 inference(monotonicity,[status(thm)],[23479])).
% 25.89/17.22 tff(23481,plain,
% 25.89/17.22 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184)))),
% 25.89/17.22 inference(transitivity,[status(thm)],[23480, 23478])).
% 25.89/17.22 tff(23482,plain,
% 25.89/17.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23483,plain,
% 25.89/17.22 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0) | (~v94(constB184))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23482, 23481])).
% 25.89/17.22 tff(23484,plain,
% 25.89/17.22 ((~v84(constB184, bitIndex0)) | (~v94(constB184))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23483, 923, 23477])).
% 25.89/17.22 tff(23485,plain,
% 25.89/17.22 (~v84(constB184, bitIndex0)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23484, 23380])).
% 25.89/17.22 tff(23486,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23487,plain,
% 25.89/17.22 (((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0))) <=> (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23488,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0))))),
% 25.89/17.22 inference(monotonicity,[status(thm)],[23487])).
% 25.89/17.22 tff(23489,plain,
% 25.89/17.22 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 25.89/17.22 inference(transitivity,[status(thm)],[23488, 23486])).
% 25.89/17.22 tff(23490,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB184, constB185)) | v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0)))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23491,plain,
% 25.89/17.22 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB184, bitIndex0) | (~nextState(constB184, constB185)) | v94(constB185) | (~v84(constB185, bitIndex0))),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23490, 23489])).
% 25.89/17.22 tff(23492,plain,
% 25.89/17.22 (v84(constB184, bitIndex0) | v94(constB185) | (~v84(constB185, bitIndex0))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23491, 147, 23408])).
% 25.89/17.22 tff(23493,plain,
% 25.89/17.22 (v84(constB184, bitIndex0) | (~v84(constB185, bitIndex0))),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23492, 23420])).
% 25.89/17.22 tff(23494,plain,
% 25.89/17.22 (~v84(constB185, bitIndex0)),
% 25.89/17.22 inference(unit_resolution,[status(thm)],[23493, 23485])).
% 25.89/17.22 tff(23495,plain,
% 25.89/17.22 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185))),
% 25.89/17.22 inference(rewrite,[status(thm)],[])).
% 25.89/17.22 tff(23496,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185))),
% 25.89/17.22 inference(quant_inst,[status(thm)],[])).
% 25.89/17.22 tff(23497,plain,
% 25.89/17.22 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185)),
% 25.89/17.22 inference(modus_ponens,[status(thm)],[23496, 23495])).
% 25.89/17.23 tff(23498,plain,
% 25.89/17.23 (v115(constB185)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23497, 950, 23494, 23460, 23429])).
% 25.89/17.23 tff(23499,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB185)) | v111(constB185))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB185)) | v111(constB185))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23500,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB185)) | v111(constB185))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23501,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (~v115(constB185)) | v111(constB185)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23500, 23499])).
% 25.89/17.23 tff(23502,plain,
% 25.89/17.23 (v111(constB185)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23501, 961, 23498])).
% 25.89/17.23 tff(23503,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB185)) | v110(constB185))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB185)) | v110(constB185))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23504,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB185)) | v110(constB185))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23505,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (~v111(constB185)) | v110(constB185)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23504, 23503])).
% 25.89/17.23 tff(23506,plain,
% 25.89/17.23 (v110(constB185)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23505, 207, 23502])).
% 25.89/17.23 tff(23507,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB185) | (~v110(constB185)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB185) | (~v110(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23508,plain,
% 25.89/17.23 (((~v110(constB185)) | v109(constB185)) <=> (v109(constB185) | (~v110(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23509,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB185)) | v109(constB185))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB185) | (~v110(constB185))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23508])).
% 25.89/17.23 tff(23510,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB185)) | v109(constB185))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB185) | (~v110(constB185)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23509, 23507])).
% 25.89/17.23 tff(23511,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB185)) | v109(constB185))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23512,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB185) | (~v110(constB185))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23511, 23510])).
% 25.89/17.23 tff(23513,plain,
% 25.89/17.23 (v109(constB185)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23512, 221, 23506])).
% 25.89/17.23 tff(23514,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v109(constB185)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v109(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23515,plain,
% 25.89/17.23 (((~v109(constB185)) | v108(constB185)) <=> (v108(constB185) | (~v109(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23516,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB185) | (~v109(constB185))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23515])).
% 25.89/17.23 tff(23517,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB185)) | v108(constB185))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v109(constB185)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23516, 23514])).
% 25.89/17.23 tff(23518,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB185)) | v108(constB185))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23519,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB185) | (~v109(constB185))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23518, 23517])).
% 25.89/17.23 tff(23520,plain,
% 25.89/17.23 (v108(constB185)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23519, 235, 23513])).
% 25.89/17.23 tff(23521,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB185) | (~v108(constB185)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB185) | (~v108(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23522,plain,
% 25.89/17.23 (((~v108(constB185)) | v107(constB185)) <=> (v107(constB185) | (~v108(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23523,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB185)) | v107(constB185))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB185) | (~v108(constB185))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23522])).
% 25.89/17.23 tff(23524,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB185)) | v107(constB185))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB185) | (~v108(constB185)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23523, 23521])).
% 25.89/17.23 tff(23525,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB185)) | v107(constB185))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23526,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB185) | (~v108(constB185))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23525, 23524])).
% 25.89/17.23 tff(23527,plain,
% 25.89/17.23 (v107(constB185)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23526, 249, 23520])).
% 25.89/17.23 tff(23528,assumption,(v26(constB185)), introduced(assumption)).
% 25.89/17.23 tff(23529,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB185))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23530,plain,
% 25.89/17.23 ($false),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23529, 18, 23528])).
% 25.89/17.23 tff(23531,plain,(~v26(constB185)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.23 tff(23532,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | v106(constB185) | (~v107(constB185)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23533,plain,
% 25.89/17.23 ((v26(constB185) | (~v107(constB185)) | v106(constB185)) <=> (v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23534,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | v106(constB185) | (~v107(constB185))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23533])).
% 25.89/17.23 tff(23535,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23534, 23532])).
% 25.89/17.23 tff(23536,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23537,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23536, 23535])).
% 25.89/17.23 tff(23538,plain,
% 25.89/17.23 (v106(constB185) | (~v107(constB185))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23537, 263, 23531])).
% 25.89/17.23 tff(23539,plain,
% 25.89/17.23 (v106(constB185)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23538, 23527])).
% 25.89/17.23 tff(23540,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB185) | (~v106(constB185)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB185) | (~v106(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23541,plain,
% 25.89/17.23 (((~v106(constB185)) | v102(constB185)) <=> (v102(constB185) | (~v106(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23542,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB185)) | v102(constB185))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB185) | (~v106(constB185))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23541])).
% 25.89/17.23 tff(23543,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB185)) | v102(constB185))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB185) | (~v106(constB185)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23542, 23540])).
% 25.89/17.23 tff(23544,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB185)) | v102(constB185))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23545,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB185) | (~v106(constB185))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23544, 23543])).
% 25.89/17.23 tff(23546,plain,
% 25.89/17.23 (v102(constB185)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23545, 275, 23539])).
% 25.89/17.23 tff(23547,plain,
% 25.89/17.23 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23548,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 25.89/17.23 tff(23549,plain,
% 25.89/17.23 (nextState(constB185, constB186)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23548, 23547])).
% 25.89/17.23 tff(23550,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23551,plain,
% 25.89/17.23 (((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186)) <=> ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23552,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23551])).
% 25.89/17.23 tff(23553,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23552, 23550])).
% 25.89/17.23 tff(23554,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23555,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23554, 23553])).
% 25.89/17.23 tff(23556,plain,
% 25.89/17.23 (v104(constB186) | (~v102(constB185))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23555, 295, 23549])).
% 25.89/17.23 tff(23557,plain,
% 25.89/17.23 (v104(constB186)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23556, 23546])).
% 25.89/17.23 tff(23558,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23559,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23560,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23559, 23558])).
% 25.89/17.23 tff(23561,plain,
% 25.89/17.23 (~v98(constB186)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23560, 313, 23549, 23405])).
% 25.89/17.23 tff(23562,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23563,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23564,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23563, 23562])).
% 25.89/17.23 tff(23565,plain,
% 25.89/17.23 (v96(constB186) | v98(constB186)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23564, 327, 23549])).
% 25.89/17.23 tff(23566,plain,
% 25.89/17.23 (v96(constB186)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23565, 23561])).
% 25.89/17.23 tff(23567,plain,
% 25.89/17.23 (v1(constB186) <=> v1(constB186)),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23568,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 25.89/17.23 tff(23569,plain,
% 25.89/17.23 (v1(constB186)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23568, 23567])).
% 25.89/17.23 tff(23570,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23571,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23572,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23571, 23570])).
% 25.89/17.23 tff(23573,plain,
% 25.89/17.23 (v95(constB186) | (~v96(constB186))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23572, 345, 23549, 23569])).
% 25.89/17.23 tff(23574,plain,
% 25.89/17.23 (v95(constB186)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23573, 23566])).
% 25.89/17.23 tff(23575,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23576,plain,
% 25.89/17.23 (((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186)) <=> ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23577,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23576])).
% 25.89/17.23 tff(23578,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23577, 23575])).
% 25.89/17.23 tff(23579,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23580,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | v94(constB186) | (~v95(constB186)) | (~v104(constB186))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23579, 23578])).
% 25.89/17.23 tff(23581,plain,
% 25.89/17.23 (v94(constB186) | (~v95(constB186)) | (~v104(constB186))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23580, 360, 23549])).
% 25.89/17.23 tff(23582,plain,
% 25.89/17.23 (v94(constB186) | (~v104(constB186))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23581, 23574])).
% 25.89/17.23 tff(23583,plain,
% 25.89/17.23 (v94(constB186)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23582, 23557])).
% 25.89/17.23 tff(23584,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB185)) | (~v124(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB185)) | (~v124(constB185, bitIndex2)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23585,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | ((~v115(constB185)) | (~v124(constB185, bitIndex2)))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23586,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | (~v124(VarCurr, bitIndex2)))) | (~v115(constB185)) | (~v124(constB185, bitIndex2))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23585, 23584])).
% 25.89/17.23 tff(23587,plain,
% 25.89/17.23 (~v124(constB185, bitIndex2)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23586, 1046, 23498])).
% 25.89/17.23 tff(23588,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23589,plain,
% 25.89/17.23 ((v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2))) <=> ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23590,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | ((~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2)))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23589])).
% 25.89/17.23 tff(23591,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23590, 23588])).
% 25.89/17.23 tff(23592,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (v26(constB185) | v124(constB185, bitIndex2) | (~v121(constB185, bitIndex2)))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23593,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex2) | (~v121(VarCurr, bitIndex2)))) | (~v121(constB185, bitIndex2)) | v26(constB185) | v124(constB185, bitIndex2)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23592, 23591])).
% 25.89/17.23 tff(23594,plain,
% 25.89/17.23 ((~v121(constB185, bitIndex2)) | v124(constB185, bitIndex2)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23593, 390, 23531])).
% 25.89/17.23 tff(23595,plain,
% 25.89/17.23 (~v121(constB185, bitIndex2)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23594, 23587])).
% 25.89/17.23 tff(23596,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23597,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | ((~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2)))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23598,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex2) | (~v123(VarNext, bitIndex2)))) | (~nextState(constB185, constB186)) | v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23597, 23596])).
% 25.89/17.23 tff(23599,plain,
% 25.89/17.23 (v121(constB185, bitIndex2) | (~v123(constB186, bitIndex2))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23598, 408, 23549])).
% 25.89/17.23 tff(23600,plain,
% 25.89/17.23 (~v123(constB186, bitIndex2)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23599, 23595])).
% 25.89/17.23 tff(23601,plain,
% 25.89/17.23 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23602,plain,
% 25.89/17.23 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | ((~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186)))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23603,plain,
% 25.89/17.23 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex2)) | v123(VarNext, bitIndex2) | (~v94(VarNext)))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2) | (~v94(constB186))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23602, 23601])).
% 25.89/17.23 tff(23604,plain,
% 25.89/17.23 ((~v84(constB186, bitIndex2)) | (~v94(constB186))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23603, 423, 23600])).
% 25.89/17.23 tff(23605,plain,
% 25.89/17.23 (~v84(constB186, bitIndex2)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23604, 23583])).
% 25.89/17.23 tff(23606,plain,
% 25.89/17.23 ((~v1(constB187)) <=> (~v1(constB187))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23607,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 25.89/17.23 tff(23608,plain,
% 25.89/17.23 (~v1(constB187)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23607, 23606])).
% 25.89/17.23 tff(23609,plain,
% 25.89/17.23 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23610,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 25.89/17.23 tff(23611,plain,
% 25.89/17.23 (nextState(constB186, constB187)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23610, 23609])).
% 25.89/17.23 tff(23612,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23613,plain,
% 25.89/17.23 (((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187)) <=> (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23614,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23613])).
% 25.89/17.23 tff(23615,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23614, 23612])).
% 25.89/17.23 tff(23616,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB186, constB187)) | (~v95(constB187)) | v1(constB187))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23617,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB187) | (~nextState(constB186, constB187)) | (~v95(constB187))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23616, 23615])).
% 25.89/17.23 tff(23618,plain,
% 25.89/17.23 (~v95(constB187)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23617, 73, 23611, 23608])).
% 25.89/17.23 tff(23619,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23620,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187)))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23621,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB186, constB187)) | v95(constB187) | (~v94(constB187))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23620, 23619])).
% 25.89/17.23 tff(23622,plain,
% 25.89/17.23 (v95(constB187) | (~v94(constB187))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23621, 90, 23611])).
% 25.89/17.23 tff(23623,plain,
% 25.89/17.23 (~v94(constB187)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23622, 23618])).
% 25.89/17.23 tff(23624,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23625,plain,
% 25.89/17.23 (((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2))) <=> (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23626,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23625])).
% 25.89/17.23 tff(23627,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23626, 23624])).
% 25.89/17.23 tff(23628,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB186, constB187)) | v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2)))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23629,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB186, bitIndex2) | (~nextState(constB186, constB187)) | v94(constB187) | (~v84(constB187, bitIndex2))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23628, 23627])).
% 25.89/17.23 tff(23630,plain,
% 25.89/17.23 (v84(constB186, bitIndex2) | v94(constB187) | (~v84(constB187, bitIndex2))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23629, 105, 23611])).
% 25.89/17.23 tff(23631,plain,
% 25.89/17.23 (v84(constB186, bitIndex2) | (~v84(constB187, bitIndex2))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23630, 23623])).
% 25.89/17.23 tff(23632,plain,
% 25.89/17.23 (~v84(constB187, bitIndex2)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23631, 23605])).
% 25.89/17.23 tff(23633,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB185)) | v124(constB185, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB185)) | v124(constB185, bitIndex1))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23634,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v115(constB185)) | v124(constB185, bitIndex1))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23635,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v115(constB185)) | v124(constB185, bitIndex1)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23634, 23633])).
% 25.89/17.23 tff(23636,plain,
% 25.89/17.23 (v124(constB185, bitIndex1)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23635, 1102, 23498])).
% 25.89/17.23 tff(23637,plain,
% 25.89/17.23 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB185) | (~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB185) | (~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23638,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB185) | (~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23639,plain,
% 25.89/17.23 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB185) | (~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23638, 23637])).
% 25.89/17.23 tff(23640,plain,
% 25.89/17.23 ((~v124(constB185, bitIndex1)) | v121(constB185, bitIndex1)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23639, 812, 23531])).
% 25.89/17.23 tff(23641,plain,
% 25.89/17.23 (v121(constB185, bitIndex1)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23640, 23636])).
% 25.89/17.23 tff(23642,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23643,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23644,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1)),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23643, 23642])).
% 25.89/17.23 tff(23645,plain,
% 25.89/17.23 ((~v121(constB185, bitIndex1)) | v123(constB186, bitIndex1)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23644, 827, 23549])).
% 25.89/17.23 tff(23646,plain,
% 25.89/17.23 (v123(constB186, bitIndex1)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23645, 23641])).
% 25.89/17.23 tff(23647,plain,
% 25.89/17.23 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23648,plain,
% 25.89/17.23 ((v84(constB186, bitIndex1) | (~v94(constB186)) | (~v123(constB186, bitIndex1))) <=> (v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186)))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23649,plain,
% 25.89/17.23 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v94(constB186)) | (~v123(constB186, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186))))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23648])).
% 25.89/17.23 tff(23650,plain,
% 25.89/17.23 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v94(constB186)) | (~v123(constB186, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186)))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23649, 23647])).
% 25.89/17.23 tff(23651,plain,
% 25.89/17.23 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB186, bitIndex1) | (~v94(constB186)) | (~v123(constB186, bitIndex1)))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.23 tff(23652,plain,
% 25.89/17.23 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1)) | (~v94(constB186))),
% 25.89/17.23 inference(modus_ponens,[status(thm)],[23651, 23650])).
% 25.89/17.23 tff(23653,plain,
% 25.89/17.23 (v84(constB186, bitIndex1) | (~v94(constB186))),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23652, 842, 23646])).
% 25.89/17.23 tff(23654,plain,
% 25.89/17.23 (v84(constB186, bitIndex1)),
% 25.89/17.23 inference(unit_resolution,[status(thm)],[23653, 23583])).
% 25.89/17.23 tff(23655,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23656,plain,
% 25.89/17.23 (((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1)) <=> ((~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1))),
% 25.89/17.23 inference(rewrite,[status(thm)],[])).
% 25.89/17.23 tff(23657,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1)))),
% 25.89/17.23 inference(monotonicity,[status(thm)],[23656])).
% 25.89/17.23 tff(23658,plain,
% 25.89/17.23 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1))),
% 25.89/17.23 inference(transitivity,[status(thm)],[23657, 23655])).
% 25.89/17.23 tff(23659,plain,
% 25.89/17.23 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1))),
% 25.89/17.23 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23660,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB186, bitIndex1)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex1)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23659, 23658])).
% 25.89/17.24 tff(23661,plain,
% 25.89/17.24 ((~v84(constB186, bitIndex1)) | v94(constB187) | v84(constB187, bitIndex1)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23660, 860, 23611])).
% 25.89/17.24 tff(23662,plain,
% 25.89/17.24 ((~v84(constB186, bitIndex1)) | v84(constB187, bitIndex1)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23661, 23623])).
% 25.89/17.24 tff(23663,plain,
% 25.89/17.24 (v84(constB187, bitIndex1)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23662, 23654])).
% 25.89/17.24 tff(23664,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB185)) | v124(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB185)) | v124(constB185, bitIndex0))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23665,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v115(constB185)) | v124(constB185, bitIndex0))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23666,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v115(constB185)) | v124(constB185, bitIndex0)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23665, 23664])).
% 25.89/17.24 tff(23667,plain,
% 25.89/17.24 (v124(constB185, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23666, 1140, 23498])).
% 25.89/17.24 tff(23668,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23669,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23670,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB185) | (~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23669, 23668])).
% 25.89/17.24 tff(23671,plain,
% 25.89/17.24 ((~v124(constB185, bitIndex0)) | v121(constB185, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23670, 547, 23531])).
% 25.89/17.24 tff(23672,plain,
% 25.89/17.24 (v121(constB185, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23671, 23667])).
% 25.89/17.24 tff(23673,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23674,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23675,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB185, constB186)) | (~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23674, 23673])).
% 25.89/17.24 tff(23676,plain,
% 25.89/17.24 ((~v121(constB185, bitIndex0)) | v123(constB186, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23675, 562, 23549])).
% 25.89/17.24 tff(23677,plain,
% 25.89/17.24 (v123(constB186, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23676, 23672])).
% 25.89/17.24 tff(23678,plain,
% 25.89/17.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23679,plain,
% 25.89/17.24 ((v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0))) <=> (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23680,plain,
% 25.89/17.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23679])).
% 25.89/17.24 tff(23681,plain,
% 25.89/17.24 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23680, 23678])).
% 25.89/17.24 tff(23682,plain,
% 25.89/17.24 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB186, bitIndex0) | (~v94(constB186)) | (~v123(constB186, bitIndex0)))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23683,plain,
% 25.89/17.24 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0)) | (~v94(constB186))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23682, 23681])).
% 25.89/17.24 tff(23684,plain,
% 25.89/17.24 (v84(constB186, bitIndex0) | (~v94(constB186))),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23683, 577, 23677])).
% 25.89/17.24 tff(23685,plain,
% 25.89/17.24 (v84(constB186, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23684, 23583])).
% 25.89/17.24 tff(23686,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23687,plain,
% 25.89/17.24 (((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0)) <=> ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23688,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0)))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23687])).
% 25.89/17.24 tff(23689,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23688, 23686])).
% 25.89/17.24 tff(23690,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB186, constB187)) | (~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23691,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB186, bitIndex0)) | (~nextState(constB186, constB187)) | v94(constB187) | v84(constB187, bitIndex0)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23690, 23689])).
% 25.89/17.24 tff(23692,plain,
% 25.89/17.24 ((~v84(constB186, bitIndex0)) | v94(constB187) | v84(constB187, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23691, 595, 23611])).
% 25.89/17.24 tff(23693,plain,
% 25.89/17.24 ((~v84(constB186, bitIndex0)) | v84(constB187, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23692, 23623])).
% 25.89/17.24 tff(23694,plain,
% 25.89/17.24 (v84(constB187, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23693, 23685])).
% 25.89/17.24 tff(23695,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v116(constB187))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v116(constB187))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23696,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v116(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23697,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v116(constB187)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23696, 23695])).
% 25.89/17.24 tff(23698,plain,
% 25.89/17.24 (v116(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23697, 1181, 23694, 23663, 23632])).
% 25.89/17.24 tff(23699,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB187)) | v124(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB187)) | v124(constB187, bitIndex2))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23700,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v116(constB187)) | v124(constB187, bitIndex2))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23701,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v116(constB187)) | v124(constB187, bitIndex2)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23700, 23699])).
% 25.89/17.24 tff(23702,plain,
% 25.89/17.24 (v124(constB187, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23701, 1273, 23698])).
% 25.89/17.24 tff(23703,assumption,(v26(constB187)), introduced(assumption)).
% 25.89/17.24 tff(23704,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23705,plain,
% 25.89/17.24 ($false),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23704, 18, 23703])).
% 25.89/17.24 tff(23706,plain,(~v26(constB187)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.24 tff(23707,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23708,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23709,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB187) | (~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23708, 23707])).
% 25.89/17.24 tff(23710,plain,
% 25.89/17.24 ((~v124(constB187, bitIndex2)) | v121(constB187, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23709, 1287, 23706])).
% 25.89/17.24 tff(23711,plain,
% 25.89/17.24 (v121(constB187, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23710, 23702])).
% 25.89/17.24 tff(23712,plain,
% 25.89/17.24 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23713,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 25.89/17.24 tff(23714,plain,
% 25.89/17.24 (nextState(constB187, constB188)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23713, 23712])).
% 25.89/17.24 tff(23715,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23716,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23717,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB187, constB188)) | (~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23716, 23715])).
% 25.89/17.24 tff(23718,plain,
% 25.89/17.24 ((~v121(constB187, bitIndex2)) | v123(constB188, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23717, 1302, 23714])).
% 25.89/17.24 tff(23719,plain,
% 25.89/17.24 (v123(constB188, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23718, 23711])).
% 25.89/17.24 tff(23720,assumption,(v115(constB185)), introduced(assumption)).
% 25.89/17.24 tff(23721,plain,
% 25.89/17.24 (v111(constB185)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23501, 961, 23720])).
% 25.89/17.24 tff(23722,plain,
% 25.89/17.24 (v110(constB185)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23505, 207, 23721])).
% 25.89/17.24 tff(23723,plain,
% 25.89/17.24 (v109(constB185)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23512, 221, 23722])).
% 25.89/17.24 tff(23724,plain,
% 25.89/17.24 (v108(constB185)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23519, 235, 23723])).
% 25.89/17.24 tff(23725,plain,
% 25.89/17.24 (v107(constB185)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23526, 249, 23724])).
% 25.89/17.24 tff(23726,plain,
% 25.89/17.24 (v106(constB185)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23538, 23725])).
% 25.89/17.24 tff(23727,plain,
% 25.89/17.24 (v102(constB185)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23545, 275, 23726])).
% 25.89/17.24 tff(23728,plain,
% 25.89/17.24 (v104(constB186)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23556, 23727])).
% 25.89/17.24 tff(23729,plain,
% 25.89/17.24 (v94(constB186)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23582, 23728])).
% 25.89/17.24 tff(23730,plain,
% 25.89/17.24 (~v124(constB185, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23586, 1046, 23720])).
% 25.89/17.24 tff(23731,plain,
% 25.89/17.24 (~v121(constB185, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23594, 23730])).
% 25.89/17.24 tff(23732,plain,
% 25.89/17.24 (~v123(constB186, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23599, 23731])).
% 25.89/17.24 tff(23733,plain,
% 25.89/17.24 ((~v84(constB186, bitIndex2)) | (~v94(constB186))),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23603, 423, 23732])).
% 25.89/17.24 tff(23734,plain,
% 25.89/17.24 (~v84(constB186, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23733, 23729])).
% 25.89/17.24 tff(23735,plain,
% 25.89/17.24 (~v84(constB187, bitIndex2)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23631, 23734])).
% 25.89/17.24 tff(23736,plain,
% 25.89/17.24 (v124(constB185, bitIndex1)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23635, 1102, 23720])).
% 25.89/17.24 tff(23737,plain,
% 25.89/17.24 (v121(constB185, bitIndex1)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23640, 23736])).
% 25.89/17.24 tff(23738,plain,
% 25.89/17.24 (v123(constB186, bitIndex1)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23645, 23737])).
% 25.89/17.24 tff(23739,plain,
% 25.89/17.24 (v84(constB186, bitIndex1) | (~v94(constB186))),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23652, 842, 23738])).
% 25.89/17.24 tff(23740,plain,
% 25.89/17.24 (v84(constB186, bitIndex1)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23739, 23729])).
% 25.89/17.24 tff(23741,plain,
% 25.89/17.24 (v84(constB187, bitIndex1)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23662, 23740])).
% 25.89/17.24 tff(23742,plain,
% 25.89/17.24 (v124(constB185, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23666, 1140, 23720])).
% 25.89/17.24 tff(23743,plain,
% 25.89/17.24 (v121(constB185, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23671, 23742])).
% 25.89/17.24 tff(23744,plain,
% 25.89/17.24 (v123(constB186, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23676, 23743])).
% 25.89/17.24 tff(23745,plain,
% 25.89/17.24 (v84(constB186, bitIndex0) | (~v94(constB186))),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23683, 577, 23744])).
% 25.89/17.24 tff(23746,plain,
% 25.89/17.24 (v84(constB186, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23745, 23729])).
% 25.89/17.24 tff(23747,plain,
% 25.89/17.24 (v84(constB187, bitIndex0)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23693, 23746])).
% 25.89/17.24 tff(23748,plain,
% 25.89/17.24 (v116(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23697, 1181, 23747, 23741, 23735])).
% 25.89/17.24 tff(23749,assumption,(~v84(constB187, bitIndex2)), introduced(assumption)).
% 25.89/17.24 tff(23750,assumption,(~v94(constB188)), introduced(assumption)).
% 25.89/17.24 tff(23751,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23752,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188)))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23753,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB187) | (~nextState(constB187, constB188)) | (~v98(constB188))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23752, 23751])).
% 25.89/17.24 tff(23754,plain,
% 25.89/17.24 (~v98(constB188)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23753, 313, 23714, 23608])).
% 25.89/17.24 tff(23755,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23756,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB187, constB188)) | v96(constB188) | v98(constB188))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23757,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB187, constB188)) | v96(constB188) | v98(constB188)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23756, 23755])).
% 25.89/17.24 tff(23758,plain,
% 25.89/17.24 (v96(constB188) | v98(constB188)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23757, 327, 23714])).
% 25.89/17.24 tff(23759,plain,
% 25.89/17.24 (v96(constB188)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23758, 23754])).
% 25.89/17.24 tff(23760,plain,
% 25.89/17.24 (v1(constB188) <=> v1(constB188)),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23761,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 25.89/17.24 tff(23762,plain,
% 25.89/17.24 (v1(constB188)),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23761, 23760])).
% 25.89/17.24 tff(23763,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23764,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188)))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23765,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB187, constB188)) | v95(constB188) | (~v96(constB188)) | (~v1(constB188))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23764, 23763])).
% 25.89/17.24 tff(23766,plain,
% 25.89/17.24 (v95(constB188) | (~v96(constB188))),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23765, 345, 23714, 23762])).
% 25.89/17.24 tff(23767,plain,
% 25.89/17.24 (v95(constB188)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23766, 23759])).
% 25.89/17.24 tff(23768,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23769,plain,
% 25.89/17.24 (((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188)) <=> ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23770,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23769])).
% 25.89/17.24 tff(23771,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23770, 23768])).
% 25.89/17.24 tff(23772,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB187, constB188)) | (~v95(constB188)) | (~v104(constB188)) | v94(constB188))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23773,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB187, constB188)) | v94(constB188) | (~v95(constB188)) | (~v104(constB188))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23772, 23771])).
% 25.89/17.24 tff(23774,plain,
% 25.89/17.24 (v94(constB188) | (~v95(constB188)) | (~v104(constB188))),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23773, 360, 23714])).
% 25.89/17.24 tff(23775,plain,
% 25.89/17.24 (v94(constB188) | (~v104(constB188))),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23774, 23767])).
% 25.89/17.24 tff(23776,plain,
% 25.89/17.24 (~v104(constB188)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23775, 23750])).
% 25.89/17.24 tff(23777,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23778,plain,
% 25.89/17.24 (((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188)) <=> ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23779,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23778])).
% 25.89/17.24 tff(23780,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23779, 23777])).
% 25.89/17.24 tff(23781,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB187, constB188)) | (~v102(constB187)) | v104(constB188))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23782,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB187, constB188)) | v104(constB188) | (~v102(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23781, 23780])).
% 25.89/17.24 tff(23783,plain,
% 25.89/17.24 (v104(constB188) | (~v102(constB187))),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23782, 295, 23714])).
% 25.89/17.24 tff(23784,plain,
% 25.89/17.24 (~v102(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23783, 23776])).
% 25.89/17.24 tff(23785,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB187) | (~v106(constB187)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v106(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23786,plain,
% 25.89/17.24 (((~v106(constB187)) | v102(constB187)) <=> (v102(constB187) | (~v106(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23787,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB187)) | v102(constB187))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB187) | (~v106(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23786])).
% 25.89/17.24 tff(23788,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB187)) | v102(constB187))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v106(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23787, 23785])).
% 25.89/17.24 tff(23789,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB187)) | v102(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23790,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v106(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23789, 23788])).
% 25.89/17.24 tff(23791,plain,
% 25.89/17.24 (~v106(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23790, 275, 23784])).
% 25.89/17.24 tff(23792,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB187) | (~v26(constB187)))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v26(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23793,plain,
% 25.89/17.24 (((~v26(constB187)) | v102(constB187)) <=> (v102(constB187) | (~v26(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23794,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB187)) | v102(constB187))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | (v102(constB187) | (~v26(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23793])).
% 25.89/17.24 tff(23795,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB187)) | v102(constB187))) <=> ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v26(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23794, 23792])).
% 25.89/17.24 tff(23796,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | ((~v26(constB187)) | v102(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23797,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v26(VarCurr)) | v102(VarCurr))) | v102(constB187) | (~v26(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23796, 23795])).
% 25.89/17.24 tff(23798,plain,
% 25.89/17.24 (~v26(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23797, 660, 23784])).
% 25.89/17.24 tff(23799,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | v106(constB187) | (~v107(constB187)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23800,plain,
% 25.89/17.24 ((v26(constB187) | (~v107(constB187)) | v106(constB187)) <=> (v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23801,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | v106(constB187) | (~v107(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23800])).
% 25.89/17.24 tff(23802,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23801, 23799])).
% 25.89/17.24 tff(23803,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB187) | (~v107(constB187)) | v106(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23804,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB187) | v106(constB187) | (~v107(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23803, 23802])).
% 25.89/17.24 tff(23805,plain,
% 25.89/17.24 (~v107(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23804, 263, 23798, 23791])).
% 25.89/17.24 tff(23806,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB187) | (~v108(constB187)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB187) | (~v108(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23807,plain,
% 25.89/17.24 (((~v108(constB187)) | v107(constB187)) <=> (v107(constB187) | (~v108(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23808,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB187)) | v107(constB187))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB187) | (~v108(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23807])).
% 25.89/17.24 tff(23809,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB187)) | v107(constB187))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB187) | (~v108(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23808, 23806])).
% 25.89/17.24 tff(23810,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB187)) | v107(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23811,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB187) | (~v108(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23810, 23809])).
% 25.89/17.24 tff(23812,plain,
% 25.89/17.24 (~v108(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23811, 249, 23805])).
% 25.89/17.24 tff(23813,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v109(constB187)))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v109(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23814,plain,
% 25.89/17.24 (((~v109(constB187)) | v108(constB187)) <=> (v108(constB187) | (~v109(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23815,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (v108(constB187) | (~v109(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23814])).
% 25.89/17.24 tff(23816,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB187)) | v108(constB187))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v109(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23815, 23813])).
% 25.89/17.24 tff(23817,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB187)) | v108(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23818,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | v108(constB187) | (~v109(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23817, 23816])).
% 25.89/17.24 tff(23819,plain,
% 25.89/17.24 (~v109(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23818, 235, 23812])).
% 25.89/17.24 tff(23820,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB187) | (~v110(constB187)))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB187) | (~v110(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23821,plain,
% 25.89/17.24 (((~v110(constB187)) | v109(constB187)) <=> (v109(constB187) | (~v110(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23822,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB187)) | v109(constB187))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | (v109(constB187) | (~v110(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23821])).
% 25.89/17.24 tff(23823,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB187)) | v109(constB187))) <=> ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB187) | (~v110(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23822, 23820])).
% 25.89/17.24 tff(23824,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | ((~v110(constB187)) | v109(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23825,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v110(VarCurr)) | v109(VarCurr))) | v109(constB187) | (~v110(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23824, 23823])).
% 25.89/17.24 tff(23826,plain,
% 25.89/17.24 (~v110(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23825, 221, 23819])).
% 25.89/17.24 tff(23827,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB187) | (~v111(constB187)))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB187) | (~v111(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23828,plain,
% 25.89/17.24 (((~v111(constB187)) | v110(constB187)) <=> (v110(constB187) | (~v111(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23829,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB187)) | v110(constB187))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | (v110(constB187) | (~v111(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23828])).
% 25.89/17.24 tff(23830,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB187)) | v110(constB187))) <=> ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB187) | (~v111(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23829, 23827])).
% 25.89/17.24 tff(23831,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | ((~v111(constB187)) | v110(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23832,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v111(VarCurr)) | v110(VarCurr))) | v110(constB187) | (~v111(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23831, 23830])).
% 25.89/17.24 tff(23833,plain,
% 25.89/17.24 (~v111(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23832, 207, 23826])).
% 25.89/17.24 tff(23834,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB187) | (~v115(constB187)))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB187) | (~v115(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23835,plain,
% 25.89/17.24 (((~v115(constB187)) | v111(constB187)) <=> (v111(constB187) | (~v115(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23836,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB187)) | v111(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | (v111(constB187) | (~v115(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23835])).
% 25.89/17.24 tff(23837,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB187)) | v111(constB187))) <=> ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB187) | (~v115(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23836, 23834])).
% 25.89/17.24 tff(23838,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | ((~v115(constB187)) | v111(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23839,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v115(VarCurr)) | v111(VarCurr))) | v111(constB187) | (~v115(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 25.89/17.24 tff(23840,plain,
% 25.89/17.24 (~v115(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23839, 961, 23833])).
% 25.89/17.24 tff(23841,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB187) | (~v112(constB187)))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB187) | (~v112(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23842,plain,
% 25.89/17.24 (((~v112(constB187)) | v111(constB187)) <=> (v111(constB187) | (~v112(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23843,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB187)) | v111(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | (v111(constB187) | (~v112(constB187))))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23842])).
% 25.89/17.24 tff(23844,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB187)) | v111(constB187))) <=> ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB187) | (~v112(constB187)))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23843, 23841])).
% 25.89/17.24 tff(23845,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | ((~v112(constB187)) | v111(constB187))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23846,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : ((~v112(VarCurr)) | v111(VarCurr))) | v111(constB187) | (~v112(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23845, 23844])).
% 25.89/17.24 tff(23847,plain,
% 25.89/17.24 (~v112(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23846, 193, 23833])).
% 25.89/17.24 tff(23848,plain,
% 25.89/17.24 (((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB187) | (~v145(constB187)))) <=> ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB187) | (~v145(constB187)))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23849,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB187) | (~v145(constB187)))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23850,plain,
% 25.89/17.24 ((~![VarCurr: state_type] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB187) | (~v145(constB187))),
% 25.89/17.24 inference(modus_ponens,[status(thm)],[23849, 23848])).
% 25.89/17.24 tff(23851,plain,
% 25.89/17.24 (~v145(constB187)),
% 25.89/17.24 inference(unit_resolution,[status(thm)],[23850, 677, 23847])).
% 25.89/17.24 tff(23852,assumption,(~v84(constB188, bitIndex2)), introduced(assumption)).
% 25.89/17.24 tff(23853,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23854,plain,
% 25.89/17.24 (((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2)) <=> ((~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))),
% 25.89/17.24 inference(rewrite,[status(thm)],[])).
% 25.89/17.24 tff(23855,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2)))),
% 25.89/17.24 inference(monotonicity,[status(thm)],[23854])).
% 25.89/17.24 tff(23856,plain,
% 25.89/17.24 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2))),
% 25.89/17.24 inference(transitivity,[status(thm)],[23855, 23853])).
% 25.89/17.24 tff(23857,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2))),
% 25.89/17.24 inference(quant_inst,[status(thm)],[])).
% 25.89/17.24 tff(23858,plain,
% 25.89/17.24 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB187, bitIndex2)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex2)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23857, 23856])).
% 25.89/17.25 tff(23859,plain,
% 25.89/17.25 ((~v84(constB187, bitIndex2)) | v94(constB188) | v84(constB188, bitIndex2)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23858, 1353, 23714])).
% 25.89/17.25 tff(23860,plain,
% 25.89/17.25 (~v84(constB187, bitIndex2)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23859, 23750, 23852])).
% 25.89/17.25 tff(23861,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB187) | (~v113(constB187)))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB187) | (~v113(constB187)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23862,plain,
% 25.89/17.25 (((~v113(constB187)) | v112(constB187)) <=> (v112(constB187) | (~v113(constB187)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23863,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | (v112(constB187) | (~v113(constB187))))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23862])).
% 25.89/17.25 tff(23864,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB187)) | v112(constB187))) <=> ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB187) | (~v113(constB187)))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23863, 23861])).
% 25.89/17.25 tff(23865,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | ((~v113(constB187)) | v112(constB187))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23866,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : ((~v113(VarCurr)) | v112(VarCurr))) | v112(constB187) | (~v113(constB187))),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23865, 23864])).
% 25.89/17.25 tff(23867,plain,
% 25.89/17.25 (~v113(constB187)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23866, 182, 23847])).
% 25.89/17.25 tff(23868,assumption,(~v113(constB187)), introduced(assumption)).
% 25.89/17.25 tff(23869,assumption,(~v84(constB187, bitIndex1)), introduced(assumption)).
% 25.89/17.25 tff(23870,assumption,(~v145(constB187)), introduced(assumption)).
% 25.89/17.25 tff(23871,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23872,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23873,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v145(constB187)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23872, 23871])).
% 25.89/17.25 tff(23874,plain,
% 25.89/17.25 ((~v84(constB187, bitIndex0)) | v84(constB187, bitIndex1) | v145(constB187)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23873, 614, 23749])).
% 25.89/17.25 tff(23875,plain,
% 25.89/17.25 (~v84(constB187, bitIndex0)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23874, 23869, 23870])).
% 25.89/17.25 tff(23876,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23877,plain,
% 25.89/17.25 ((v84(constB187, bitIndex0) | v113(constB187) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2)) <=> (v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23878,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v113(constB187) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187)))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23877])).
% 25.89/17.25 tff(23879,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v113(constB187) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23878, 23876])).
% 25.89/17.25 tff(23880,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v84(constB187, bitIndex0) | v113(constB187) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23881,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | v113(constB187)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23880, 23879])).
% 25.89/17.25 tff(23882,plain,
% 25.89/17.25 (v84(constB187, bitIndex0) | v84(constB187, bitIndex1) | v113(constB187)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23881, 168, 23749])).
% 25.89/17.25 tff(23883,plain,
% 25.89/17.25 ($false),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23882, 23875, 23869, 23868])).
% 25.89/17.25 tff(23884,plain,(v84(constB187, bitIndex1) | v113(constB187) | v84(constB187, bitIndex2) | v145(constB187)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.25 tff(23885,plain,
% 25.89/17.25 (v84(constB187, bitIndex1)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23884, 23867, 23860, 23851])).
% 25.89/17.25 tff(23886,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB187) | (~v116(constB187)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB187) | (~v116(constB187)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23887,plain,
% 25.89/17.25 (((~v116(constB187)) | v110(constB187)) <=> (v110(constB187) | (~v116(constB187)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23888,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB187)) | v110(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | (v110(constB187) | (~v116(constB187))))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23887])).
% 25.89/17.25 tff(23889,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB187)) | v110(constB187))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB187) | (~v116(constB187)))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23888, 23886])).
% 25.89/17.25 tff(23890,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | ((~v116(constB187)) | v110(constB187))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23891,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | v110(VarCurr))) | v110(constB187) | (~v116(constB187))),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23890, 23889])).
% 25.89/17.25 tff(23892,plain,
% 25.89/17.25 (~v116(constB187)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23891, 1192, 23826])).
% 25.89/17.25 tff(23893,plain,
% 25.89/17.25 ((~v84(constB187, bitIndex0)) | (~v84(constB187, bitIndex1)) | v116(constB187)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23697, 1181, 23860])).
% 25.89/17.25 tff(23894,plain,
% 25.89/17.25 (~v84(constB187, bitIndex0)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23893, 23885, 23892])).
% 25.89/17.25 tff(23895,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v115(constB187))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v115(constB187))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23896,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v115(constB187))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23897,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v84(constB187, bitIndex2) | v115(constB187)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23896, 23895])).
% 25.89/17.25 tff(23898,plain,
% 25.89/17.25 (v84(constB187, bitIndex0) | (~v84(constB187, bitIndex1)) | v115(constB187)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23897, 950, 23860])).
% 25.89/17.25 tff(23899,plain,
% 25.89/17.25 ($false),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23898, 23894, 23885, 23840])).
% 25.89/17.25 tff(23900,plain,(v94(constB188) | v84(constB188, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.25 tff(23901,plain,
% 25.89/17.25 (v84(constB188, bitIndex2)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23900, 23750])).
% 25.89/17.25 tff(23902,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23903,plain,
% 25.89/17.25 (((~nextState(constB187, constB188)) | v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2))) <=> (v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23904,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | (v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2))))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23903])).
% 25.89/17.25 tff(23905,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2)))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23904, 23902])).
% 25.89/17.25 tff(23906,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | ((~nextState(constB187, constB188)) | v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2)))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23907,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex2) | v94(VarNext) | (~v84(VarNext, bitIndex2)))) | v84(constB187, bitIndex2) | (~nextState(constB187, constB188)) | v94(constB188) | (~v84(constB188, bitIndex2))),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23906, 23905])).
% 25.89/17.25 tff(23908,plain,
% 25.89/17.25 (v84(constB187, bitIndex2) | v94(constB188) | (~v84(constB188, bitIndex2))),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23907, 105, 23714])).
% 25.89/17.25 tff(23909,plain,
% 25.89/17.25 ($false),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23908, 23901, 23750, 23749])).
% 25.89/17.25 tff(23910,plain,(v94(constB188) | v84(constB187, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.25 tff(23911,plain,
% 25.89/17.25 (v94(constB188)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23910, 23735])).
% 25.89/17.25 tff(23912,assumption,(v84(constB188, bitIndex0)), introduced(assumption)).
% 25.89/17.25 tff(23913,plain,
% 25.89/17.25 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23914,plain,
% 25.89/17.25 (((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0)) <=> ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23915,plain,
% 25.89/17.25 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188))))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23914])).
% 25.89/17.25 tff(23916,plain,
% 25.89/17.25 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188)))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23915, 23913])).
% 25.89/17.25 tff(23917,plain,
% 25.89/17.25 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | ((~v84(constB188, bitIndex0)) | (~v94(constB188)) | v123(constB188, bitIndex0))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23918,plain,
% 25.89/17.25 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex0)) | (~v94(VarNext)) | v123(VarNext, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0) | (~v94(constB188))),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23917, 23916])).
% 25.89/17.25 tff(23919,plain,
% 25.89/17.25 (v123(constB188, bitIndex0) | (~v94(constB188))),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23918, 923, 23912])).
% 25.89/17.25 tff(23920,plain,
% 25.89/17.25 (v123(constB188, bitIndex0)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23919, 23911])).
% 25.89/17.25 tff(23921,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23922,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0)))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23923,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex0) | (~v123(VarNext, bitIndex0)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0))),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23922, 23921])).
% 25.89/17.25 tff(23924,plain,
% 25.89/17.25 (v121(constB187, bitIndex0) | (~v123(constB188, bitIndex0))),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23923, 908, 23714])).
% 25.89/17.25 tff(23925,plain,
% 25.89/17.25 (v121(constB187, bitIndex0)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23924, 23920])).
% 25.89/17.25 tff(23926,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23927,plain,
% 25.89/17.25 ((v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0))) <=> ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23928,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | ((~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0)))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23927])).
% 25.89/17.25 tff(23929,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23928, 23926])).
% 25.89/17.25 tff(23930,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (v26(constB187) | v124(constB187, bitIndex0) | (~v121(constB187, bitIndex0)))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23931,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex0) | (~v121(VarCurr, bitIndex0)))) | (~v121(constB187, bitIndex0)) | v26(constB187) | v124(constB187, bitIndex0)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23930, 23929])).
% 25.89/17.25 tff(23932,plain,
% 25.89/17.25 ((~v121(constB187, bitIndex0)) | v124(constB187, bitIndex0)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23931, 890, 23706])).
% 25.89/17.25 tff(23933,plain,
% 25.89/17.25 (v124(constB187, bitIndex0)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23932, 23925])).
% 25.89/17.25 tff(23934,plain,
% 25.89/17.25 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB187)) | (~v124(constB187, bitIndex0)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB187)) | (~v124(constB187, bitIndex0)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23935,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | ((~v116(constB187)) | (~v124(constB187, bitIndex0)))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23936,plain,
% 25.89/17.25 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex0)))) | (~v116(constB187)) | (~v124(constB187, bitIndex0))),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23935, 23934])).
% 25.89/17.25 tff(23937,plain,
% 25.89/17.25 ($false),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23936, 1410, 23933, 23748])).
% 25.89/17.25 tff(23938,plain,((~v115(constB185)) | (~v84(constB188, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 25.89/17.25 tff(23939,plain,
% 25.89/17.25 (~v84(constB188, bitIndex0)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23938, 23498])).
% 25.89/17.25 tff(23940,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23941,plain,
% 25.89/17.25 (((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0)) <=> ((~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23942,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0)))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23941])).
% 25.89/17.25 tff(23943,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23942, 23940])).
% 25.89/17.25 tff(23944,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB187, constB188)) | (~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23945,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB187, bitIndex0)) | (~nextState(constB187, constB188)) | v94(constB188) | v84(constB188, bitIndex0)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23944, 23943])).
% 25.89/17.25 tff(23946,plain,
% 25.89/17.25 ((~v84(constB187, bitIndex0)) | v94(constB188) | v84(constB188, bitIndex0)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23945, 595, 23714])).
% 25.89/17.25 tff(23947,plain,
% 25.89/17.25 (v94(constB188)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23946, 23694, 23939])).
% 25.89/17.25 tff(23948,plain,
% 25.89/17.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23949,plain,
% 25.89/17.25 ((v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2))) <=> (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23950,plain,
% 25.89/17.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188))))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23949])).
% 25.89/17.25 tff(23951,plain,
% 25.89/17.25 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188)))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23950, 23948])).
% 25.89/17.25 tff(23952,plain,
% 25.89/17.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB188, bitIndex2) | (~v94(constB188)) | (~v123(constB188, bitIndex2)))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23953,plain,
% 25.89/17.25 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2)) | (~v94(constB188))),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23952, 23951])).
% 25.89/17.25 tff(23954,plain,
% 25.89/17.25 (v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2))),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23953, 1317, 23947])).
% 25.89/17.25 tff(23955,plain,
% 25.89/17.25 (v84(constB188, bitIndex2)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23954, 23719])).
% 25.89/17.25 tff(23956,plain,
% 25.89/17.25 ((~v1(constB189)) <=> (~v1(constB189))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23957,axiom,(~v1(constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_189_1_1')).
% 25.89/17.25 tff(23958,plain,
% 25.89/17.25 (~v1(constB189)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23957, 23956])).
% 25.89/17.25 tff(23959,plain,
% 25.89/17.25 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23960,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 25.89/17.25 tff(23961,plain,
% 25.89/17.25 (nextState(constB188, constB189)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23960, 23959])).
% 25.89/17.25 tff(23962,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23963,plain,
% 25.89/17.25 (((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189)) <=> (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23964,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189))))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23963])).
% 25.89/17.25 tff(23965,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189)))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23964, 23962])).
% 25.89/17.25 tff(23966,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB188, constB189)) | (~v95(constB189)) | v1(constB189))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23967,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB189) | (~nextState(constB188, constB189)) | (~v95(constB189))),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23966, 23965])).
% 25.89/17.25 tff(23968,plain,
% 25.89/17.25 (~v95(constB189)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23967, 73, 23961, 23958])).
% 25.89/17.25 tff(23969,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23970,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189)))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23971,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB188, constB189)) | v95(constB189) | (~v94(constB189))),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23970, 23969])).
% 25.89/17.25 tff(23972,plain,
% 25.89/17.25 (v95(constB189) | (~v94(constB189))),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23971, 90, 23961])).
% 25.89/17.25 tff(23973,plain,
% 25.89/17.25 (~v94(constB189)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23972, 23968])).
% 25.89/17.25 tff(23974,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23975,plain,
% 25.89/17.25 (((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2)) <=> ((~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))),
% 25.89/17.25 inference(rewrite,[status(thm)],[])).
% 25.89/17.25 tff(23976,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2)))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23975])).
% 25.89/17.25 tff(23977,plain,
% 25.89/17.25 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2))),
% 25.89/17.25 inference(transitivity,[status(thm)],[23976, 23974])).
% 25.89/17.25 tff(23978,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB188, constB189)) | (~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2))),
% 25.89/17.25 inference(quant_inst,[status(thm)],[])).
% 25.89/17.25 tff(23979,plain,
% 25.89/17.25 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB188, bitIndex2)) | (~nextState(constB188, constB189)) | v94(constB189) | v84(constB189, bitIndex2)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[23978, 23977])).
% 25.89/17.25 tff(23980,plain,
% 25.89/17.25 ((~v84(constB188, bitIndex2)) | v94(constB189) | v84(constB189, bitIndex2)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23979, 1353, 23961])).
% 25.89/17.25 tff(23981,plain,
% 25.89/17.25 ((~v84(constB188, bitIndex2)) | v84(constB189, bitIndex2)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23980, 23973])).
% 25.89/17.25 tff(23982,plain,
% 25.89/17.25 (v84(constB189, bitIndex2)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23981, 23955])).
% 25.89/17.25 tff(23983,plain,
% 25.89/17.25 ($false),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23982, 18996])).
% 25.89/17.25 tff(23984,plain,((~(constB189 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.25 tff(23985,plain,
% 25.89/17.25 (~(constB189 = sK0_VarCurr)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23984, 5])).
% 25.89/17.25 tff(23986,assumption,(constB9 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.25 tff(23987,plain,
% 25.89/17.25 (v84(constB9, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23986])).
% 25.89/17.25 tff(23988,plain,
% 25.89/17.25 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB9, bitIndex2)),
% 25.89/17.25 inference(symmetry,[status(thm)],[23987])).
% 25.89/17.25 tff(23989,plain,
% 25.89/17.25 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB9, bitIndex2))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23988])).
% 25.89/17.25 tff(23990,plain,
% 25.89/17.25 (~v84(constB9, bitIndex2)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[5, 23989])).
% 25.89/17.25 tff(23991,plain,
% 25.89/17.25 ($false),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[1362, 23990])).
% 25.89/17.25 tff(23992,plain,((~(constB9 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.25 tff(23993,plain,
% 25.89/17.25 (~(constB9 = sK0_VarCurr)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[23992, 5])).
% 25.89/17.25 tff(23994,assumption,(constB33 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.25 tff(23995,plain,
% 25.89/17.25 (v84(constB33, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23994])).
% 25.89/17.25 tff(23996,plain,
% 25.89/17.25 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB33, bitIndex2)),
% 25.89/17.25 inference(symmetry,[status(thm)],[23995])).
% 25.89/17.25 tff(23997,plain,
% 25.89/17.25 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB33, bitIndex2))),
% 25.89/17.25 inference(monotonicity,[status(thm)],[23996])).
% 25.89/17.25 tff(23998,plain,
% 25.89/17.25 (~v84(constB33, bitIndex2)),
% 25.89/17.25 inference(modus_ponens,[status(thm)],[5, 23997])).
% 25.89/17.25 tff(23999,plain,
% 25.89/17.25 ($false),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[4241, 23998])).
% 25.89/17.25 tff(24000,plain,((~(constB33 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.25 tff(24001,plain,
% 25.89/17.25 (~(constB33 = sK0_VarCurr)),
% 25.89/17.25 inference(unit_resolution,[status(thm)],[24000, 5])).
% 25.89/17.25 tff(24002,assumption,(constB57 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.25 tff(24003,plain,
% 25.89/17.25 (v84(constB57, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.25 inference(monotonicity,[status(thm)],[24002])).
% 25.89/17.26 tff(24004,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB57, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24003])).
% 25.89/17.26 tff(24005,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB57, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24004])).
% 25.89/17.26 tff(24006,plain,
% 25.89/17.26 (~v84(constB57, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24005])).
% 25.89/17.26 tff(24007,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[6939, 24006])).
% 25.89/17.26 tff(24008,plain,((~(constB57 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24009,plain,
% 25.89/17.26 (~(constB57 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24008, 5])).
% 25.89/17.26 tff(24010,assumption,(constB129 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24011,plain,
% 25.89/17.26 (v84(constB129, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24010])).
% 25.89/17.26 tff(24012,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB129, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24011])).
% 25.89/17.26 tff(24013,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB129, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24012])).
% 25.89/17.26 tff(24014,plain,
% 25.89/17.26 (~v84(constB129, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24013])).
% 25.89/17.26 tff(24015,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[14537, 24014])).
% 25.89/17.26 tff(24016,plain,((~(constB129 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24017,plain,
% 25.89/17.26 (~(constB129 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24016, 5])).
% 25.89/17.26 tff(24018,assumption,(constB117 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24019,plain,
% 25.89/17.26 (v84(constB117, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24018])).
% 25.89/17.26 tff(24020,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB117, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24019])).
% 25.89/17.26 tff(24021,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB117, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24020])).
% 25.89/17.26 tff(24022,plain,
% 25.89/17.26 (~v84(constB117, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24021])).
% 25.89/17.26 tff(24023,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[13352, 24022])).
% 25.89/17.26 tff(24024,plain,((~(constB117 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24025,plain,
% 25.89/17.26 (~(constB117 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24024, 5])).
% 25.89/17.26 tff(24026,assumption,(constB105 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24027,plain,
% 25.89/17.26 (v84(constB105, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24026])).
% 25.89/17.26 tff(24028,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB105, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24027])).
% 25.89/17.26 tff(24029,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB105, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24028])).
% 25.89/17.26 tff(24030,plain,
% 25.89/17.26 (~v84(constB105, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24029])).
% 25.89/17.26 tff(24031,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[12156, 24030])).
% 25.89/17.26 tff(24032,plain,((~(constB105 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24033,plain,
% 25.89/17.26 (~(constB105 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24032, 5])).
% 25.89/17.26 tff(24034,assumption,(constB153 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24035,plain,
% 25.89/17.26 (v84(constB153, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24034])).
% 25.89/17.26 tff(24036,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB153, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24035])).
% 25.89/17.26 tff(24037,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB153, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24036])).
% 25.89/17.26 tff(24038,plain,
% 25.89/17.26 (~v84(constB153, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24037])).
% 25.89/17.26 tff(24039,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[18612, 24038])).
% 25.89/17.26 tff(24040,plain,((~(constB153 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24041,plain,
% 25.89/17.26 (~(constB153 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24040, 5])).
% 25.89/17.26 tff(24042,assumption,(constB81 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24043,plain,
% 25.89/17.26 (v84(constB81, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24042])).
% 25.89/17.26 tff(24044,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB81, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24043])).
% 25.89/17.26 tff(24045,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB81, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24044])).
% 25.89/17.26 tff(24046,plain,
% 25.89/17.26 (~v84(constB81, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24045])).
% 25.89/17.26 tff(24047,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[9468, 24046])).
% 25.89/17.26 tff(24048,plain,((~(constB81 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24049,plain,
% 25.89/17.26 (~(constB81 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24048, 5])).
% 25.89/17.26 tff(24050,assumption,(constB177 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24051,plain,
% 25.89/17.26 (v84(constB177, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24050])).
% 25.89/17.26 tff(24052,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB177, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24051])).
% 25.89/17.26 tff(24053,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB177, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24052])).
% 25.89/17.26 tff(24054,plain,
% 25.89/17.26 (~v84(constB177, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24053])).
% 25.89/17.26 tff(24055,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[21734, 24054])).
% 25.89/17.26 tff(24056,plain,((~(constB177 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24057,plain,
% 25.89/17.26 (~(constB177 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24056, 5])).
% 25.89/17.26 tff(24058,assumption,(constB45 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24059,plain,
% 25.89/17.26 (v84(constB45, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24058])).
% 25.89/17.26 tff(24060,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB45, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24059])).
% 25.89/17.26 tff(24061,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB45, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24060])).
% 25.89/17.26 tff(24062,plain,
% 25.89/17.26 (~v84(constB45, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24061])).
% 25.89/17.26 tff(24063,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[5622, 24062])).
% 25.89/17.26 tff(24064,plain,((~(constB45 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24065,plain,
% 25.89/17.26 (~(constB45 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24064, 5])).
% 25.89/17.26 tff(24066,assumption,(constB69 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24067,plain,
% 25.89/17.26 (v84(constB69, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24066])).
% 25.89/17.26 tff(24068,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB69, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24067])).
% 25.89/17.26 tff(24069,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB69, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24068])).
% 25.89/17.26 tff(24070,plain,
% 25.89/17.26 (~v84(constB69, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24069])).
% 25.89/17.26 tff(24071,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[8124, 24070])).
% 25.89/17.26 tff(24072,plain,((~(constB69 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24073,plain,
% 25.89/17.26 (~(constB69 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24072, 5])).
% 25.89/17.26 tff(24074,assumption,(constB21 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24075,plain,
% 25.89/17.26 (v84(constB21, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24074])).
% 25.89/17.26 tff(24076,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB21, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24075])).
% 25.89/17.26 tff(24077,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB21, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24076])).
% 25.89/17.26 tff(24078,plain,
% 25.89/17.26 (~v84(constB21, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24077])).
% 25.89/17.26 tff(24079,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[2764, 24078])).
% 25.89/17.26 tff(24080,plain,((~(constB21 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24081,plain,
% 25.89/17.26 (~(constB21 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24080, 5])).
% 25.89/17.26 tff(24082,assumption,(constB141 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24083,plain,
% 25.89/17.26 (v84(constB141, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24082])).
% 25.89/17.26 tff(24084,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB141, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24083])).
% 25.89/17.26 tff(24085,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB141, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24084])).
% 25.89/17.26 tff(24086,plain,
% 25.89/17.26 (~v84(constB141, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24085])).
% 25.89/17.26 tff(24087,plain,
% 25.89/17.26 (v124(constB139, bitIndex2)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[15996, 1273, 15620])).
% 25.89/17.26 tff(24088,plain,
% 25.89/17.26 (v121(constB139, bitIndex2)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[15992, 24087])).
% 25.89/17.26 tff(24089,plain,
% 25.89/17.26 (v123(constB140, bitIndex2)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[15987, 24088])).
% 25.89/17.26 tff(24090,plain,
% 25.89/17.26 (v84(constB140, bitIndex2) | (~v94(constB140))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[15981, 1317, 24089])).
% 25.89/17.26 tff(24091,plain,
% 25.89/17.26 (v84(constB140, bitIndex2)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24090, 15701])).
% 25.89/17.26 tff(24092,plain,
% 25.89/17.26 (v84(constB141, bitIndex2)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[15974, 24091])).
% 25.89/17.26 tff(24093,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24092, 24086])).
% 25.89/17.26 tff(24094,plain,((~(constB141 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24095,plain,
% 25.89/17.26 (~(constB141 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24094, 5])).
% 25.89/17.26 tff(24096,plain,
% 25.89/17.26 (v84(constB165, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[1])).
% 25.89/17.26 tff(24097,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB165, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24096])).
% 25.89/17.26 tff(24098,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB165, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24097])).
% 25.89/17.26 tff(24099,plain,
% 25.89/17.26 (~v84(constB165, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24098])).
% 25.89/17.26 tff(24100,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[19897, 24099])).
% 25.89/17.26 tff(24101,plain,((~(constB165 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24102,plain,
% 25.89/17.26 (~(constB165 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24101, 5])).
% 25.89/17.26 tff(24103,assumption,(constB93 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24104,plain,
% 25.89/17.26 (v84(constB93, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24103])).
% 25.89/17.26 tff(24105,plain,
% 25.89/17.26 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB93, bitIndex2)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24104])).
% 25.89/17.26 tff(24106,plain,
% 25.89/17.26 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB93, bitIndex2))),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24105])).
% 25.89/17.26 tff(24107,plain,
% 25.89/17.26 (~v84(constB93, bitIndex2)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[5, 24106])).
% 25.89/17.26 tff(24108,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[10762, 24107])).
% 25.89/17.26 tff(24109,plain,((~(constB93 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24110,plain,
% 25.89/17.26 (~(constB93 = sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24109, 5])).
% 25.89/17.26 tff(24111,assumption,(constB101 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.26 tff(24112,plain,
% 25.89/17.26 (v162(constB101) <=> v162(sK0_VarCurr)),
% 25.89/17.26 inference(monotonicity,[status(thm)],[24111])).
% 25.89/17.26 tff(24113,plain,
% 25.89/17.26 (v162(sK0_VarCurr) <=> v162(constB101)),
% 25.89/17.26 inference(symmetry,[status(thm)],[24112])).
% 25.89/17.26 tff(24114,plain,
% 25.89/17.26 (v168(sK0_VarCurr) <=> v168(sK0_VarCurr)),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24115,axiom,(v168(sK0_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 25.89/17.26 tff(24116,plain,
% 25.89/17.26 (v168(sK0_VarCurr)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24115, 24114])).
% 25.89/17.26 tff(24117,plain,
% 25.89/17.26 (^[VarCurr: state_type] : refl((v162(VarCurr) | (~v168(VarCurr))) <=> (v162(VarCurr) | (~v168(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24118,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24117])).
% 25.89/17.26 tff(24119,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24120,plain,
% 25.89/17.26 (^[VarCurr: state_type] : rewrite(((~v168(VarCurr)) | v162(VarCurr)) <=> (v162(VarCurr) | (~v168(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24121,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v168(VarCurr)) | v162(VarCurr)) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24120])).
% 25.89/17.26 tff(24122,axiom,(![VarCurr: state_type] : ((~v168(VarCurr)) | v162(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1_2')).
% 25.89/17.26 tff(24123,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24122, 24121])).
% 25.89/17.26 tff(24124,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24123, 24119])).
% 25.89/17.26 tff(24125,plain,(
% 25.89/17.26 ![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 25.89/17.26 inference(skolemize,[status(sab)],[24124])).
% 25.89/17.26 tff(24126,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24125, 24118])).
% 25.89/17.26 tff(24127,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24128,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24129,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24128, 24127])).
% 25.89/17.26 tff(24130,plain,
% 25.89/17.26 (v162(sK0_VarCurr)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24129, 24126, 24116])).
% 25.89/17.26 tff(24131,plain,
% 25.89/17.26 (v162(constB101)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24130, 24113])).
% 25.89/17.26 tff(24132,assumption,(v18(constB100)), introduced(assumption)).
% 25.89/17.26 tff(24133,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB100))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24134,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24133, 3012, 24132])).
% 25.89/17.26 tff(24135,plain,(~v18(constB100)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24136,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24137,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB100) | (~v1(constB100)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24138,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB100) | (~v1(constB100))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24137, 24136])).
% 25.89/17.26 tff(24139,plain,
% 25.89/17.26 (v22(constB100)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24138, 3028, 11482])).
% 25.89/17.26 tff(24140,plain,
% 25.89/17.26 (((~![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)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24141,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB100) | (~v22(constB100)) | (~v19(constB100)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24142,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB100) | (~v22(constB100)) | (~v19(constB100))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24141, 24140])).
% 25.89/17.26 tff(24143,plain,
% 25.89/17.26 (v18(constB100) | (~v19(constB100))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24142, 3042, 24139])).
% 25.89/17.26 tff(24144,plain,
% 25.89/17.26 (~v19(constB100)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24143, 24135])).
% 25.89/17.26 tff(24145,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24146,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB100) | v19(constB100))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24147,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB100) | v19(constB100)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24146, 24145])).
% 25.89/17.26 tff(24148,plain,
% 25.89/17.26 (v13(constB100)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24147, 3054, 24144])).
% 25.89/17.26 tff(24149,plain,
% 25.89/17.26 (((~![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)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24150,plain,
% 25.89/17.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24151,plain,
% 25.89/17.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB99) | (~v13(constB100)) | (~nextState(constB99, constB100))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 25.89/17.26 tff(24152,plain,
% 25.89/17.26 (v9(constB99) | (~v13(constB100))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24151, 3068, 11462])).
% 25.89/17.26 tff(24153,plain,
% 25.89/17.26 (v9(constB99)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24152, 24148])).
% 25.89/17.26 tff(24154,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v141(constB99))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB99) | (~v9(constB99)) | v141(constB99))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24155,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB99) | (~v9(constB99)) | v141(constB99))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24156,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB99) | (~v9(constB99)) | v141(constB99)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24155, 24154])).
% 25.89/17.26 tff(24157,plain,
% 25.89/17.26 ((~v9(constB99)) | v141(constB99)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24156, 3083, 11308])).
% 25.89/17.26 tff(24158,plain,
% 25.89/17.26 (v141(constB99)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24157, 24153])).
% 25.89/17.26 tff(24159,plain,
% 25.89/17.26 (^[VarCurr: state_type] : refl(((~v141(VarCurr)) | v140(VarCurr)) <=> ((~v141(VarCurr)) | v140(VarCurr)))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24160,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24159])).
% 25.89/17.26 tff(24161,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr)) <=> ![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24162,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_29_1_1_1')).
% 25.89/17.26 tff(24163,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24162, 24161])).
% 25.89/17.26 tff(24164,plain,(
% 25.89/17.26 ![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 25.89/17.26 inference(skolemize,[status(sab)],[24163])).
% 25.89/17.26 tff(24165,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24164, 24160])).
% 25.89/17.26 tff(24166,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB99)) | v140(constB99))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB99)) | v140(constB99))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24167,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB99)) | v140(constB99))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24168,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB99)) | v140(constB99)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24167, 24166])).
% 25.89/17.26 tff(24169,plain,
% 25.89/17.26 (v140(constB99)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24168, 24165, 24158])).
% 25.89/17.26 tff(24170,plain,
% 25.89/17.26 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v163(VarCurr))) <=> ((~v140(VarCurr)) | (~v163(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24171,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24170])).
% 25.89/17.26 tff(24172,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24173,plain,
% 25.89/17.26 (^[VarCurr: state_type] : rewrite(((~v163(VarCurr)) | (~v140(VarCurr))) <=> ((~v140(VarCurr)) | (~v163(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24174,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v163(VarCurr)) | (~v140(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24173])).
% 25.89/17.26 tff(24175,axiom,(![VarCurr: state_type] : ((~v163(VarCurr)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_3')).
% 25.89/17.26 tff(24176,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24175, 24174])).
% 25.89/17.26 tff(24177,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24176, 24172])).
% 25.89/17.26 tff(24178,plain,(
% 25.89/17.26 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 25.89/17.26 inference(skolemize,[status(sab)],[24177])).
% 25.89/17.26 tff(24179,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24178, 24171])).
% 25.89/17.26 tff(24180,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB99)) | (~v163(constB99)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB99)) | (~v163(constB99)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24181,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB99)) | (~v163(constB99)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24182,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB99)) | (~v163(constB99))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24181, 24180])).
% 25.89/17.26 tff(24183,plain,
% 25.89/17.26 (~v163(constB99)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24182, 24179, 24169])).
% 25.89/17.26 tff(24184,assumption,(v18(constB90)), introduced(assumption)).
% 25.89/17.26 tff(24185,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB90))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24186,plain,
% 25.89/17.26 ($false),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24185, 3012, 24184])).
% 25.89/17.26 tff(24187,plain,(~v18(constB90)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.26 tff(24188,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24189,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB90) | (~v1(constB90)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24190,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB90) | (~v1(constB90))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24189, 24188])).
% 25.89/17.26 tff(24191,plain,
% 25.89/17.26 (v22(constB90)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24190, 3028, 10440])).
% 25.89/17.26 tff(24192,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB90) | (~v22(constB90)) | (~v19(constB90)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB90) | (~v22(constB90)) | (~v19(constB90)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24193,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB90) | (~v22(constB90)) | (~v19(constB90)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24194,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB90) | (~v22(constB90)) | (~v19(constB90))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24193, 24192])).
% 25.89/17.26 tff(24195,plain,
% 25.89/17.26 (v18(constB90) | (~v19(constB90))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24194, 3042, 24191])).
% 25.89/17.26 tff(24196,plain,
% 25.89/17.26 (~v19(constB90)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24195, 24187])).
% 25.89/17.26 tff(24197,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24198,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB90) | v19(constB90))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24199,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB90) | v19(constB90)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24198, 24197])).
% 25.89/17.26 tff(24200,plain,
% 25.89/17.26 (v13(constB90)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24199, 3054, 24196])).
% 25.89/17.26 tff(24201,plain,
% 25.89/17.26 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24202,plain,
% 25.89/17.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24203,plain,
% 25.89/17.26 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB89) | (~v13(constB90)) | (~nextState(constB89, constB90))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24202, 24201])).
% 25.89/17.26 tff(24204,plain,
% 25.89/17.26 (v9(constB89) | (~v13(constB90))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24203, 3068, 10420])).
% 25.89/17.26 tff(24205,plain,
% 25.89/17.26 (v9(constB89)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24204, 24200])).
% 25.89/17.26 tff(24206,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v141(constB89))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB89) | (~v9(constB89)) | v141(constB89))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24207,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB89) | (~v9(constB89)) | v141(constB89))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24208,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB89) | (~v9(constB89)) | v141(constB89)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24207, 24206])).
% 25.89/17.26 tff(24209,plain,
% 25.89/17.26 ((~v9(constB89)) | v141(constB89)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24208, 3083, 10279])).
% 25.89/17.26 tff(24210,plain,
% 25.89/17.26 (v141(constB89)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24209, 24205])).
% 25.89/17.26 tff(24211,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB89)) | v140(constB89))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB89)) | v140(constB89))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24212,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB89)) | v140(constB89))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24213,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB89)) | v140(constB89)),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24212, 24211])).
% 25.89/17.26 tff(24214,plain,
% 25.89/17.26 (v140(constB89)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24213, 24165, 24210])).
% 25.89/17.26 tff(24215,plain,
% 25.89/17.26 (^[VarCurr: state_type] : refl(((~v138(VarCurr)) | (~v140(VarCurr))) <=> ((~v138(VarCurr)) | (~v140(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24216,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr))) <=> ![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24215])).
% 25.89/17.26 tff(24217,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr))) <=> ![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24218,axiom,(![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1_3')).
% 25.89/17.26 tff(24219,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24218, 24217])).
% 25.89/17.26 tff(24220,plain,(
% 25.89/17.26 ![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 25.89/17.26 inference(skolemize,[status(sab)],[24219])).
% 25.89/17.26 tff(24221,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24220, 24216])).
% 25.89/17.26 tff(24222,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB89)) | (~v140(constB89)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB89)) | (~v140(constB89)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24223,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB89)) | (~v140(constB89)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24224,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB89)) | (~v140(constB89))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24223, 24222])).
% 25.89/17.26 tff(24225,plain,
% 25.89/17.26 (~v138(constB89)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24224, 24221, 24214])).
% 25.89/17.26 tff(24226,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB89)) | (~v84(constB89, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB89)) | (~v84(constB89, bitIndex1)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24227,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB89)) | (~v84(constB89, bitIndex1)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24228,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB89)) | (~v84(constB89, bitIndex1))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24227, 24226])).
% 25.89/17.26 tff(24229,plain,
% 25.89/17.26 (~v145(constB89)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24228, 2018, 10334])).
% 25.89/17.26 tff(24230,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB89) | (~v144(constB89)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB89) | (~v144(constB89)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24231,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB89) | (~v144(constB89)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24232,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB89) | (~v144(constB89))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24231, 24230])).
% 25.89/17.26 tff(24233,plain,
% 25.89/17.26 (~v144(constB89)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24232, 2971, 24229])).
% 25.89/17.26 tff(24234,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB89) | (~v142(constB89)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB89) | (~v142(constB89)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24235,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB89) | (~v142(constB89)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24236,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB89) | (~v142(constB89))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24235, 24234])).
% 25.89/17.26 tff(24237,plain,
% 25.89/17.26 (~v142(constB89)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24236, 2985, 24233])).
% 25.89/17.26 tff(24238,plain,
% 25.89/17.26 (^[VarCurr: state_type] : refl((v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24239,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24238])).
% 25.89/17.26 tff(24240,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24241,plain,
% 25.89/17.26 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v135(VarCurr)) | v138(VarCurr)) <=> (v138(VarCurr) | (~v135(VarCurr)))), ((((~v135(VarCurr)) | v138(VarCurr)) | v142(VarCurr)) <=> ((v138(VarCurr) | (~v135(VarCurr))) | v142(VarCurr)))), rewrite(((v138(VarCurr) | (~v135(VarCurr))) | v142(VarCurr)) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))), ((((~v135(VarCurr)) | v138(VarCurr)) | v142(VarCurr)) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24242,plain,
% 25.89/17.26 (![VarCurr: state_type] : (((~v135(VarCurr)) | v138(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24241])).
% 25.89/17.26 tff(24243,axiom,(![VarCurr: state_type] : (((~v135(VarCurr)) | v138(VarCurr)) | v142(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_33_1_3')).
% 25.89/17.26 tff(24244,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24243, 24242])).
% 25.89/17.26 tff(24245,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24244, 24240])).
% 25.89/17.26 tff(24246,plain,(
% 25.89/17.26 ![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 25.89/17.26 inference(skolemize,[status(sab)],[24245])).
% 25.89/17.26 tff(24247,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24246, 24239])).
% 25.89/17.26 tff(24248,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB89) | v142(constB89) | (~v135(constB89)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB89) | v142(constB89) | (~v135(constB89)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24249,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB89) | v142(constB89) | (~v135(constB89)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24250,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB89) | v142(constB89) | (~v135(constB89))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24249, 24248])).
% 25.89/17.26 tff(24251,plain,
% 25.89/17.26 (v138(constB89) | (~v135(constB89))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24250, 24247, 24237])).
% 25.89/17.26 tff(24252,plain,
% 25.89/17.26 (~v135(constB89)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24251, 24225])).
% 25.89/17.26 tff(24253,plain,
% 25.89/17.26 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24254,plain,
% 25.89/17.26 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24253])).
% 25.89/17.26 tff(24255,plain,
% 25.89/17.26 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24256,plain,
% 25.89/17.26 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v137(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24257,plain,
% 25.89/17.26 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24256])).
% 25.89/17.26 tff(24258,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v137(VarNext))) | v135(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 25.89/17.26 tff(24259,plain,
% 25.89/17.26 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24258, 24257])).
% 25.89/17.26 tff(24260,plain,
% 25.89/17.26 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24259, 24255])).
% 25.89/17.26 tff(24261,plain,(
% 25.89/17.26 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 25.89/17.26 inference(skolemize,[status(sab)],[24260])).
% 25.89/17.26 tff(24262,plain,
% 25.89/17.26 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24261, 24254])).
% 25.89/17.26 tff(24263,plain,
% 25.89/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24264,plain,
% 25.89/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24265,plain,
% 25.89/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB89, constB90)) | v135(constB89) | (~v137(constB90))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24264, 24263])).
% 25.89/17.26 tff(24266,plain,
% 25.89/17.26 (v135(constB89) | (~v137(constB90))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24265, 24262, 10420])).
% 25.89/17.26 tff(24267,plain,
% 25.89/17.26 (~v137(constB90)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24266, 24252])).
% 25.89/17.26 tff(24268,plain,
% 25.89/17.26 (^[VarCurr: state_type] : refl((v137(VarCurr) | (~v138(VarCurr))) <=> (v137(VarCurr) | (~v138(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24269,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24268])).
% 25.89/17.26 tff(24270,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24271,plain,
% 25.89/17.26 (^[VarCurr: state_type] : rewrite(((~v138(VarCurr)) | v137(VarCurr)) <=> (v137(VarCurr) | (~v138(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24272,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v138(VarCurr)) | v137(VarCurr)) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24271])).
% 25.89/17.26 tff(24273,axiom,(![VarCurr: state_type] : ((~v138(VarCurr)) | v137(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_30_1_1_2')).
% 25.89/17.26 tff(24274,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24273, 24272])).
% 25.89/17.26 tff(24275,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24274, 24270])).
% 25.89/17.26 tff(24276,plain,(
% 25.89/17.26 ![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 25.89/17.26 inference(skolemize,[status(sab)],[24275])).
% 25.89/17.26 tff(24277,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24276, 24269])).
% 25.89/17.26 tff(24278,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB90) | (~v138(constB90)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB90) | (~v138(constB90)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24279,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB90) | (~v138(constB90)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24280,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB90) | (~v138(constB90))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24279, 24278])).
% 25.89/17.26 tff(24281,plain,
% 25.89/17.26 (~v138(constB90)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24280, 24277, 24267])).
% 25.89/17.26 tff(24282,plain,
% 25.89/17.26 (^[VarCurr: state_type] : refl(((~v1(VarCurr)) | (~v141(VarCurr))) <=> ((~v1(VarCurr)) | (~v141(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24283,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24282])).
% 25.89/17.26 tff(24284,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24285,plain,
% 25.89/17.26 (^[VarCurr: state_type] : rewrite(((~v141(VarCurr)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v141(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24286,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v141(VarCurr)) | (~v1(VarCurr))) <=> ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24285])).
% 25.89/17.26 tff(24287,axiom,(![VarCurr: state_type] : ((~v141(VarCurr)) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_28_1_1_2')).
% 25.89/17.26 tff(24288,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24287, 24286])).
% 25.89/17.26 tff(24289,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24288, 24284])).
% 25.89/17.26 tff(24290,plain,(
% 25.89/17.26 ![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 25.89/17.26 inference(skolemize,[status(sab)],[24289])).
% 25.89/17.26 tff(24291,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24290, 24283])).
% 25.89/17.26 tff(24292,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB90)) | (~v141(constB90)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB90)) | (~v141(constB90)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24293,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB90)) | (~v141(constB90)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24294,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB90)) | (~v141(constB90))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24293, 24292])).
% 25.89/17.26 tff(24295,plain,
% 25.89/17.26 (~v141(constB90)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24294, 24291, 10440])).
% 25.89/17.26 tff(24296,plain,
% 25.89/17.26 (^[VarCurr: state_type] : refl((v141(VarCurr) | (~v144(VarCurr))) <=> (v141(VarCurr) | (~v144(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24297,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24296])).
% 25.89/17.26 tff(24298,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24299,plain,
% 25.89/17.26 (^[VarCurr: state_type] : rewrite(((~v144(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | (~v144(VarCurr))))),
% 25.89/17.26 inference(bind,[status(th)],[])).
% 25.89/17.26 tff(24300,plain,
% 25.89/17.26 (![VarCurr: state_type] : ((~v144(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 25.89/17.26 inference(quant_intro,[status(thm)],[24299])).
% 25.89/17.26 tff(24301,axiom,(![VarCurr: state_type] : ((~v144(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_31_1_3')).
% 25.89/17.26 tff(24302,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24301, 24300])).
% 25.89/17.26 tff(24303,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24302, 24298])).
% 25.89/17.26 tff(24304,plain,(
% 25.89/17.26 ![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 25.89/17.26 inference(skolemize,[status(sab)],[24303])).
% 25.89/17.26 tff(24305,plain,
% 25.89/17.26 (![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24304, 24297])).
% 25.89/17.26 tff(24306,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB90) | (~v144(constB90)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB90) | (~v144(constB90)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24307,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB90) | (~v144(constB90)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24308,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB90) | (~v144(constB90))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24307, 24306])).
% 25.89/17.26 tff(24309,plain,
% 25.89/17.26 (~v144(constB90)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24308, 24305, 24295])).
% 25.89/17.26 tff(24310,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB90) | (~v142(constB90)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB90) | (~v142(constB90)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24311,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB90) | (~v142(constB90)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24312,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB90) | (~v142(constB90))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24311, 24310])).
% 25.89/17.26 tff(24313,plain,
% 25.89/17.26 (~v142(constB90)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24312, 2985, 24309])).
% 25.89/17.26 tff(24314,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB90) | v142(constB90) | (~v135(constB90)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB90) | v142(constB90) | (~v135(constB90)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24315,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB90) | v142(constB90) | (~v135(constB90)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24316,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB90) | v142(constB90) | (~v135(constB90))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24315, 24314])).
% 25.89/17.26 tff(24317,plain,
% 25.89/17.26 (v138(constB90) | (~v135(constB90))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24316, 24247, 24313])).
% 25.89/17.26 tff(24318,plain,
% 25.89/17.26 (~v135(constB90)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24317, 24281])).
% 25.89/17.26 tff(24319,plain,
% 25.89/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24320,plain,
% 25.89/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24321,plain,
% 25.89/17.26 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB90, constB91)) | v135(constB90) | (~v137(constB91))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24320, 24319])).
% 25.89/17.26 tff(24322,plain,
% 25.89/17.26 (v135(constB90) | (~v137(constB91))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24321, 24262, 10482])).
% 25.89/17.26 tff(24323,plain,
% 25.89/17.26 (~v137(constB91)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24322, 24318])).
% 25.89/17.26 tff(24324,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB91) | (~v138(constB91)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB91) | (~v138(constB91)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24325,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB91) | (~v138(constB91)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24326,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB91) | (~v138(constB91))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24325, 24324])).
% 25.89/17.26 tff(24327,plain,
% 25.89/17.26 (~v138(constB91)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24326, 24277, 24323])).
% 25.89/17.26 tff(24328,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB91)) | (~v84(constB91, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB91)) | (~v84(constB91, bitIndex1)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24329,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB91)) | (~v84(constB91, bitIndex1)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24330,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB91)) | (~v84(constB91, bitIndex1))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24329, 24328])).
% 25.89/17.26 tff(24331,plain,
% 25.89/17.26 (~v145(constB91)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24330, 2018, 10534])).
% 25.89/17.26 tff(24332,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB91) | (~v144(constB91)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB91) | (~v144(constB91)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24333,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB91) | (~v144(constB91)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24334,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB91) | (~v144(constB91))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24333, 24332])).
% 25.89/17.26 tff(24335,plain,
% 25.89/17.26 (~v144(constB91)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24334, 2971, 24331])).
% 25.89/17.26 tff(24336,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB91) | (~v142(constB91)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB91) | (~v142(constB91)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24337,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB91) | (~v142(constB91)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24338,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB91) | (~v142(constB91))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24337, 24336])).
% 25.89/17.26 tff(24339,plain,
% 25.89/17.26 (~v142(constB91)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24338, 2985, 24335])).
% 25.89/17.26 tff(24340,plain,
% 25.89/17.26 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB91) | v142(constB91) | (~v135(constB91)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB91) | v142(constB91) | (~v135(constB91)))),
% 25.89/17.26 inference(rewrite,[status(thm)],[])).
% 25.89/17.26 tff(24341,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB91) | v142(constB91) | (~v135(constB91)))),
% 25.89/17.26 inference(quant_inst,[status(thm)],[])).
% 25.89/17.26 tff(24342,plain,
% 25.89/17.26 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB91) | v142(constB91) | (~v135(constB91))),
% 25.89/17.26 inference(modus_ponens,[status(thm)],[24341, 24340])).
% 25.89/17.26 tff(24343,plain,
% 25.89/17.26 (v138(constB91) | (~v135(constB91))),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24342, 24247, 24339])).
% 25.89/17.26 tff(24344,plain,
% 25.89/17.26 (~v135(constB91)),
% 25.89/17.26 inference(unit_resolution,[status(thm)],[24343, 24327])).
% 25.89/17.26 tff(24345,plain,
% 25.89/17.26 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24346,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24347,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB91, constB92)) | v135(constB91) | (~v137(constB92))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24346, 24345])).
% 25.89/17.27 tff(24348,plain,
% 25.89/17.27 (v135(constB91) | (~v137(constB92))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24347, 24262, 10645])).
% 25.89/17.27 tff(24349,plain,
% 25.89/17.27 (~v137(constB92)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24348, 24344])).
% 25.89/17.27 tff(24350,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB92) | (~v138(constB92)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB92) | (~v138(constB92)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24351,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB92) | (~v138(constB92)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24352,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB92) | (~v138(constB92))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24351, 24350])).
% 25.89/17.27 tff(24353,plain,
% 25.89/17.27 (~v138(constB92)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24352, 24277, 24349])).
% 25.89/17.27 tff(24354,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB92)) | (~v141(constB92)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB92)) | (~v141(constB92)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24355,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB92)) | (~v141(constB92)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24356,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB92)) | (~v141(constB92))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24355, 24354])).
% 25.89/17.27 tff(24357,plain,
% 25.89/17.27 (~v141(constB92)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24356, 24291, 10665])).
% 25.89/17.27 tff(24358,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB92) | (~v144(constB92)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB92) | (~v144(constB92)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24359,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB92) | (~v144(constB92)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24360,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB92) | (~v144(constB92))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24359, 24358])).
% 25.89/17.27 tff(24361,plain,
% 25.89/17.27 (~v144(constB92)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24360, 24305, 24357])).
% 25.89/17.27 tff(24362,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB92) | (~v142(constB92)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB92) | (~v142(constB92)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24363,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB92) | (~v142(constB92)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24364,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB92) | (~v142(constB92))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24363, 24362])).
% 25.89/17.27 tff(24365,plain,
% 25.89/17.27 (~v142(constB92)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24364, 2985, 24361])).
% 25.89/17.27 tff(24366,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB92) | v142(constB92) | (~v135(constB92)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB92) | v142(constB92) | (~v135(constB92)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24367,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB92) | v142(constB92) | (~v135(constB92)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24368,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB92) | v142(constB92) | (~v135(constB92))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24367, 24366])).
% 25.89/17.27 tff(24369,plain,
% 25.89/17.27 (v138(constB92) | (~v135(constB92))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24368, 24247, 24365])).
% 25.89/17.27 tff(24370,plain,
% 25.89/17.27 (~v135(constB92)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24369, 24353])).
% 25.89/17.27 tff(24371,plain,
% 25.89/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24372,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24373,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB92, constB93)) | v135(constB92) | (~v137(constB93))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24372, 24371])).
% 25.89/17.27 tff(24374,plain,
% 25.89/17.27 (v135(constB92) | (~v137(constB93))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24373, 24262, 10710])).
% 25.89/17.27 tff(24375,plain,
% 25.89/17.27 (~v137(constB93)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24374, 24370])).
% 25.89/17.27 tff(24376,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB93) | (~v138(constB93)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB93) | (~v138(constB93)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24377,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB93) | (~v138(constB93)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24378,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB93) | (~v138(constB93))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24377, 24376])).
% 25.89/17.27 tff(24379,plain,
% 25.89/17.27 (~v138(constB93)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24378, 24277, 24375])).
% 25.89/17.27 tff(24380,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB93)) | (~v84(constB93, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB93)) | (~v84(constB93, bitIndex2)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24381,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB93)) | (~v84(constB93, bitIndex2)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24382,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB93)) | (~v84(constB93, bitIndex2))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24381, 24380])).
% 25.89/17.27 tff(24383,plain,
% 25.89/17.27 (~v145(constB93)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24382, 16179, 10762])).
% 25.89/17.27 tff(24384,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB93) | (~v144(constB93)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB93) | (~v144(constB93)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24385,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB93) | (~v144(constB93)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24386,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB93) | (~v144(constB93))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24385, 24384])).
% 25.89/17.27 tff(24387,plain,
% 25.89/17.27 (~v144(constB93)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24386, 2971, 24383])).
% 25.89/17.27 tff(24388,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB93) | (~v142(constB93)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB93) | (~v142(constB93)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24389,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB93) | (~v142(constB93)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24390,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB93) | (~v142(constB93))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24389, 24388])).
% 25.89/17.27 tff(24391,plain,
% 25.89/17.27 (~v142(constB93)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24390, 2985, 24387])).
% 25.89/17.27 tff(24392,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB93) | v142(constB93) | (~v135(constB93)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB93) | v142(constB93) | (~v135(constB93)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24393,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB93) | v142(constB93) | (~v135(constB93)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24394,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB93) | v142(constB93) | (~v135(constB93))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24393, 24392])).
% 25.89/17.27 tff(24395,plain,
% 25.89/17.27 (v138(constB93) | (~v135(constB93))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24394, 24247, 24391])).
% 25.89/17.27 tff(24396,plain,
% 25.89/17.27 (~v135(constB93)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24395, 24379])).
% 25.89/17.27 tff(24397,plain,
% 25.89/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24398,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24399,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB93, constB94)) | v135(constB93) | (~v137(constB94))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24398, 24397])).
% 25.89/17.27 tff(24400,plain,
% 25.89/17.27 (v135(constB93) | (~v137(constB94))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24399, 24262, 10842])).
% 25.89/17.27 tff(24401,plain,
% 25.89/17.27 (~v137(constB94)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24400, 24396])).
% 25.89/17.27 tff(24402,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB94) | (~v138(constB94)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB94) | (~v138(constB94)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24403,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB94) | (~v138(constB94)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24404,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB94) | (~v138(constB94))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24403, 24402])).
% 25.89/17.27 tff(24405,plain,
% 25.89/17.27 (~v138(constB94)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24404, 24277, 24401])).
% 25.89/17.27 tff(24406,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB94)) | (~v141(constB94)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB94)) | (~v141(constB94)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24407,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB94)) | (~v141(constB94)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24408,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB94)) | (~v141(constB94))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24407, 24406])).
% 25.89/17.27 tff(24409,plain,
% 25.89/17.27 (~v141(constB94)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24408, 24291, 10868])).
% 25.89/17.27 tff(24410,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB94) | (~v144(constB94)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB94) | (~v144(constB94)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24411,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB94) | (~v144(constB94)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24412,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB94) | (~v144(constB94))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24411, 24410])).
% 25.89/17.27 tff(24413,plain,
% 25.89/17.27 (~v144(constB94)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24412, 24305, 24409])).
% 25.89/17.27 tff(24414,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB94) | (~v142(constB94)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB94) | (~v142(constB94)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24415,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB94) | (~v142(constB94)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24416,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB94) | (~v142(constB94))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24415, 24414])).
% 25.89/17.27 tff(24417,plain,
% 25.89/17.27 (~v142(constB94)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24416, 2985, 24413])).
% 25.89/17.27 tff(24418,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB94) | v142(constB94) | (~v135(constB94)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB94) | v142(constB94) | (~v135(constB94)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24419,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB94) | v142(constB94) | (~v135(constB94)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24420,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB94) | v142(constB94) | (~v135(constB94))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24419, 24418])).
% 25.89/17.27 tff(24421,plain,
% 25.89/17.27 (v138(constB94) | (~v135(constB94))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24420, 24247, 24417])).
% 25.89/17.27 tff(24422,plain,
% 25.89/17.27 (~v135(constB94)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24421, 24405])).
% 25.89/17.27 tff(24423,plain,
% 25.89/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24424,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24425,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB94, constB95)) | v135(constB94) | (~v137(constB95))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24424, 24423])).
% 25.89/17.27 tff(24426,plain,
% 25.89/17.27 (v135(constB94) | (~v137(constB95))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24425, 24262, 10936])).
% 25.89/17.27 tff(24427,plain,
% 25.89/17.27 (~v137(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24426, 24422])).
% 25.89/17.27 tff(24428,plain,
% 25.89/17.27 (^[VarCurr: state_type] : refl((v137(VarCurr) | (~v153(VarCurr))) <=> (v137(VarCurr) | (~v153(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24429,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24428])).
% 25.89/17.27 tff(24430,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24431,plain,
% 25.89/17.27 (^[VarCurr: state_type] : rewrite(((~v153(VarCurr)) | v137(VarCurr)) <=> (v137(VarCurr) | (~v153(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24432,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v153(VarCurr)) | v137(VarCurr)) <=> ![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24431])).
% 25.89/17.27 tff(24433,axiom,(![VarCurr: state_type] : ((~v153(VarCurr)) | v137(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_35_1_1_3')).
% 25.89/17.27 tff(24434,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24433, 24432])).
% 25.89/17.27 tff(24435,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24434, 24430])).
% 25.89/17.27 tff(24436,plain,(
% 25.89/17.27 ![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(skolemize,[status(sab)],[24435])).
% 25.89/17.27 tff(24437,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24436, 24429])).
% 25.89/17.27 tff(24438,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB95) | (~v153(constB95)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB95) | (~v153(constB95)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24439,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB95) | (~v153(constB95)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24440,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB95) | (~v153(constB95))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24439, 24438])).
% 25.89/17.27 tff(24441,plain,
% 25.89/17.27 (~v153(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24440, 24437, 24427])).
% 25.89/17.27 tff(24442,assumption,(v18(constB96)), introduced(assumption)).
% 25.89/17.27 tff(24443,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB96))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24444,plain,
% 25.89/17.27 ($false),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24443, 3012, 24442])).
% 25.89/17.27 tff(24445,plain,(~v18(constB96)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.27 tff(24446,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24447,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24448,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24447, 24446])).
% 25.89/17.27 tff(24449,plain,
% 25.89/17.27 (v22(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24448, 3028, 11061])).
% 25.89/17.27 tff(24450,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB96) | (~v22(constB96)) | (~v19(constB96)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB96) | (~v22(constB96)) | (~v19(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24451,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB96) | (~v22(constB96)) | (~v19(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24452,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB96) | (~v22(constB96)) | (~v19(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24451, 24450])).
% 25.89/17.27 tff(24453,plain,
% 25.89/17.27 (v18(constB96) | (~v19(constB96))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24452, 3042, 24449])).
% 25.89/17.27 tff(24454,plain,
% 25.89/17.27 (~v19(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24453, 24445])).
% 25.89/17.27 tff(24455,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24456,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24457,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96)),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24456, 24455])).
% 25.89/17.27 tff(24458,plain,
% 25.89/17.27 (v13(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24457, 3054, 24454])).
% 25.89/17.27 tff(24459,plain,
% 25.89/17.27 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24460,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24461,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB95) | (~v13(constB96)) | (~nextState(constB95, constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24460, 24459])).
% 25.89/17.27 tff(24462,plain,
% 25.89/17.27 (v9(constB95) | (~v13(constB96))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24461, 3068, 11041])).
% 25.89/17.27 tff(24463,plain,
% 25.89/17.27 (v9(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24462, 24458])).
% 25.89/17.27 tff(24464,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24465,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24466,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95)),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24465, 24464])).
% 25.89/17.27 tff(24467,plain,
% 25.89/17.27 ((~v9(constB95)) | v141(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24466, 3083, 10933])).
% 25.89/17.27 tff(24468,plain,
% 25.89/17.27 (v141(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24467, 24463])).
% 25.89/17.27 tff(24469,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB95)) | v140(constB95))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB95)) | v140(constB95))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24470,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB95)) | v140(constB95))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24471,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB95)) | v140(constB95)),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24470, 24469])).
% 25.89/17.27 tff(24472,plain,
% 25.89/17.27 (v140(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24471, 24165, 24468])).
% 25.89/17.27 tff(24473,plain,
% 25.89/17.27 (^[VarCurr: state_type] : refl(((~v140(VarCurr)) | (~v155(VarCurr))) <=> ((~v140(VarCurr)) | (~v155(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24474,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24473])).
% 25.89/17.27 tff(24475,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24476,plain,
% 25.89/17.27 (^[VarCurr: state_type] : rewrite(((~v155(VarCurr)) | (~v140(VarCurr))) <=> ((~v140(VarCurr)) | (~v155(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24477,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v155(VarCurr)) | (~v140(VarCurr))) <=> ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24476])).
% 25.89/17.27 tff(24478,axiom,(![VarCurr: state_type] : ((~v155(VarCurr)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1_3')).
% 25.89/17.27 tff(24479,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24478, 24477])).
% 25.89/17.27 tff(24480,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24479, 24475])).
% 25.89/17.27 tff(24481,plain,(
% 25.89/17.27 ![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 25.89/17.27 inference(skolemize,[status(sab)],[24480])).
% 25.89/17.27 tff(24482,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24481, 24474])).
% 25.89/17.27 tff(24483,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB95)) | (~v155(constB95)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB95)) | (~v155(constB95)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24484,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB95)) | (~v155(constB95)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24485,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB95)) | (~v155(constB95))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24484, 24483])).
% 25.89/17.27 tff(24486,plain,
% 25.89/17.27 (~v155(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24485, 24482, 24472])).
% 25.89/17.27 tff(24487,plain,
% 25.89/17.27 (^[VarCurr: state_type] : refl((v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr))) <=> (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24488,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24487])).
% 25.89/17.27 tff(24489,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24490,plain,
% 25.89/17.27 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v150(VarCurr)) | v153(VarCurr)) <=> (v153(VarCurr) | (~v150(VarCurr)))), ((((~v150(VarCurr)) | v153(VarCurr)) | v155(VarCurr)) <=> ((v153(VarCurr) | (~v150(VarCurr))) | v155(VarCurr)))), rewrite(((v153(VarCurr) | (~v150(VarCurr))) | v155(VarCurr)) <=> (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))), ((((~v150(VarCurr)) | v153(VarCurr)) | v155(VarCurr)) <=> (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24491,plain,
% 25.89/17.27 (![VarCurr: state_type] : (((~v150(VarCurr)) | v153(VarCurr)) | v155(VarCurr)) <=> ![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24490])).
% 25.89/17.27 tff(24492,axiom,(![VarCurr: state_type] : (((~v150(VarCurr)) | v153(VarCurr)) | v155(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_37_1_3')).
% 25.89/17.27 tff(24493,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24492, 24491])).
% 25.89/17.27 tff(24494,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24493, 24489])).
% 25.89/17.27 tff(24495,plain,(
% 25.89/17.27 ![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 25.89/17.27 inference(skolemize,[status(sab)],[24494])).
% 25.89/17.27 tff(24496,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24495, 24488])).
% 25.89/17.27 tff(24497,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB95) | v155(constB95) | (~v150(constB95)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB95) | v155(constB95) | (~v150(constB95)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24498,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB95) | v155(constB95) | (~v150(constB95)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24499,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB95) | v155(constB95) | (~v150(constB95))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24498, 24497])).
% 25.89/17.27 tff(24500,plain,
% 25.89/17.27 (v153(constB95) | (~v150(constB95))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24499, 24496, 24486])).
% 25.89/17.27 tff(24501,plain,
% 25.89/17.27 (~v150(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24500, 24441])).
% 25.89/17.27 tff(24502,plain,
% 25.89/17.27 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24503,plain,
% 25.89/17.27 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24502])).
% 25.89/17.27 tff(24504,plain,
% 25.89/17.27 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24505,plain,
% 25.89/17.27 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v152(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24506,plain,
% 25.89/17.27 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24505])).
% 25.89/17.27 tff(24507,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v152(VarNext))) | v150(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_9_1_2')).
% 25.89/17.27 tff(24508,plain,
% 25.89/17.27 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24507, 24506])).
% 25.89/17.27 tff(24509,plain,
% 25.89/17.27 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24508, 24504])).
% 25.89/17.27 tff(24510,plain,(
% 25.89/17.27 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 25.89/17.27 inference(skolemize,[status(sab)],[24509])).
% 25.89/17.27 tff(24511,plain,
% 25.89/17.27 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24510, 24503])).
% 25.89/17.27 tff(24512,plain,
% 25.89/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24513,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24514,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB95, constB96)) | v150(constB95) | (~v152(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24513, 24512])).
% 25.89/17.27 tff(24515,plain,
% 25.89/17.27 (v150(constB95) | (~v152(constB96))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24514, 24511, 11041])).
% 25.89/17.27 tff(24516,plain,
% 25.89/17.27 (~v152(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24515, 24501])).
% 25.89/17.27 tff(24517,plain,
% 25.89/17.27 (^[VarCurr: state_type] : refl((v152(VarCurr) | (~v155(VarCurr))) <=> (v152(VarCurr) | (~v155(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24518,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24517])).
% 25.89/17.27 tff(24519,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24520,plain,
% 25.89/17.27 (^[VarCurr: state_type] : rewrite(((~v155(VarCurr)) | v152(VarCurr)) <=> (v152(VarCurr) | (~v155(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24521,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v155(VarCurr)) | v152(VarCurr)) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24520])).
% 25.89/17.27 tff(24522,axiom,(![VarCurr: state_type] : ((~v155(VarCurr)) | v152(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_36_1_1_2')).
% 25.89/17.27 tff(24523,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24522, 24521])).
% 25.89/17.27 tff(24524,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24523, 24519])).
% 25.89/17.27 tff(24525,plain,(
% 25.89/17.27 ![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))),
% 25.89/17.27 inference(skolemize,[status(sab)],[24524])).
% 25.89/17.27 tff(24526,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24525, 24518])).
% 25.89/17.27 tff(24527,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB96) | (~v155(constB96)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB96) | (~v155(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24528,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB96) | (~v155(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24529,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB96) | (~v155(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24528, 24527])).
% 25.89/17.27 tff(24530,plain,
% 25.89/17.27 (~v155(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24529, 24526, 24516])).
% 25.89/17.27 tff(24531,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB96)) | (~v141(constB96)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB96)) | (~v141(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24532,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB96)) | (~v141(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24533,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB96)) | (~v141(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24532, 24531])).
% 25.89/17.27 tff(24534,plain,
% 25.89/17.27 (~v141(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24533, 24291, 11061])).
% 25.89/17.27 tff(24535,plain,
% 25.89/17.27 (^[VarCurr: state_type] : refl((v141(VarCurr) | (~v154(VarCurr))) <=> (v141(VarCurr) | (~v154(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24536,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24535])).
% 25.89/17.27 tff(24537,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24538,plain,
% 25.89/17.27 (^[VarCurr: state_type] : rewrite(((~v154(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | (~v154(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24539,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v154(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24538])).
% 25.89/17.27 tff(24540,axiom,(![VarCurr: state_type] : ((~v154(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_34_1_1_2')).
% 25.89/17.27 tff(24541,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24540, 24539])).
% 25.89/17.27 tff(24542,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24541, 24537])).
% 25.89/17.27 tff(24543,plain,(
% 25.89/17.27 ![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))),
% 25.89/17.27 inference(skolemize,[status(sab)],[24542])).
% 25.89/17.27 tff(24544,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24543, 24536])).
% 25.89/17.27 tff(24545,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB96) | (~v154(constB96)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB96) | (~v154(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24546,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB96) | (~v154(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24547,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB96) | (~v154(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24546, 24545])).
% 25.89/17.27 tff(24548,plain,
% 25.89/17.27 (~v154(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24547, 24544, 24534])).
% 25.89/17.27 tff(24549,plain,
% 25.89/17.27 (^[VarCurr: state_type] : refl((v154(VarCurr) | (~v153(VarCurr))) <=> (v154(VarCurr) | (~v153(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24550,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24549])).
% 25.89/17.27 tff(24551,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24552,plain,
% 25.89/17.27 (^[VarCurr: state_type] : rewrite(((~v153(VarCurr)) | v154(VarCurr)) <=> (v154(VarCurr) | (~v153(VarCurr))))),
% 25.89/17.27 inference(bind,[status(th)],[])).
% 25.89/17.27 tff(24553,plain,
% 25.89/17.27 (![VarCurr: state_type] : ((~v153(VarCurr)) | v154(VarCurr)) <=> ![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(quant_intro,[status(thm)],[24552])).
% 25.89/17.27 tff(24554,axiom,(![VarCurr: state_type] : ((~v153(VarCurr)) | v154(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_35_1_1_2')).
% 25.89/17.27 tff(24555,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24554, 24553])).
% 25.89/17.27 tff(24556,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24555, 24551])).
% 25.89/17.27 tff(24557,plain,(
% 25.89/17.27 ![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(skolemize,[status(sab)],[24556])).
% 25.89/17.27 tff(24558,plain,
% 25.89/17.27 (![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24557, 24550])).
% 25.89/17.27 tff(24559,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB96) | (~v153(constB96)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB96) | (~v153(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24560,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB96) | (~v153(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24561,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB96) | (~v153(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24560, 24559])).
% 25.89/17.27 tff(24562,plain,
% 25.89/17.27 (~v153(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24561, 24558, 24548])).
% 25.89/17.27 tff(24563,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB96) | v155(constB96) | (~v150(constB96)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB96) | v155(constB96) | (~v150(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24564,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB96) | v155(constB96) | (~v150(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24565,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB96) | v155(constB96) | (~v150(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24564, 24563])).
% 25.89/17.27 tff(24566,plain,
% 25.89/17.27 (v155(constB96) | (~v150(constB96))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24565, 24496, 24562])).
% 25.89/17.27 tff(24567,plain,
% 25.89/17.27 (~v150(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24566, 24530])).
% 25.89/17.27 tff(24568,plain,
% 25.89/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24569,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24570,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB96, constB97)) | v150(constB96) | (~v152(constB97))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24569, 24568])).
% 25.89/17.27 tff(24571,plain,
% 25.89/17.27 (v150(constB96) | (~v152(constB97))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24570, 24511, 11103])).
% 25.89/17.27 tff(24572,plain,
% 25.89/17.27 (~v152(constB97)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24571, 24567])).
% 25.89/17.27 tff(24573,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB97) | (~v155(constB97)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB97) | (~v155(constB97)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24574,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB97) | (~v155(constB97)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24575,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB97) | (~v155(constB97))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24574, 24573])).
% 25.89/17.27 tff(24576,plain,
% 25.89/17.27 (~v155(constB97)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24575, 24526, 24572])).
% 25.89/17.27 tff(24577,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB95)) | (~v84(constB95, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB95)) | (~v84(constB95, bitIndex2)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24578,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB95)) | (~v84(constB95, bitIndex2)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24579,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB95)) | (~v84(constB95, bitIndex2))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24578, 24577])).
% 25.89/17.27 tff(24580,plain,
% 25.89/17.27 (~v145(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24579, 16179, 10957])).
% 25.89/17.27 tff(24581,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24582,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24583,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24582, 24581])).
% 25.89/17.27 tff(24584,plain,
% 25.89/17.27 (~v144(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24583, 2971, 24580])).
% 25.89/17.27 tff(24585,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24586,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24587,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24586, 24585])).
% 25.89/17.27 tff(24588,plain,
% 25.89/17.27 (~v142(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24587, 2985, 24584])).
% 25.89/17.27 tff(24589,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB95)) | (~v140(constB95)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB95)) | (~v140(constB95)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24590,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB95)) | (~v140(constB95)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24591,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB95)) | (~v140(constB95))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24590, 24589])).
% 25.89/17.27 tff(24592,plain,
% 25.89/17.27 (~v138(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24591, 24221, 24472])).
% 25.89/17.27 tff(24593,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB95) | v142(constB95) | (~v135(constB95)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB95) | v142(constB95) | (~v135(constB95)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24594,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB95) | v142(constB95) | (~v135(constB95)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24595,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB95) | v142(constB95) | (~v135(constB95))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24594, 24593])).
% 25.89/17.27 tff(24596,plain,
% 25.89/17.27 (v142(constB95) | (~v135(constB95))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24595, 24247, 24592])).
% 25.89/17.27 tff(24597,plain,
% 25.89/17.27 (~v135(constB95)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24596, 24588])).
% 25.89/17.27 tff(24598,plain,
% 25.89/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24599,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24600,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB95, constB96)) | v135(constB95) | (~v137(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24599, 24598])).
% 25.89/17.27 tff(24601,plain,
% 25.89/17.27 (v135(constB95) | (~v137(constB96))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24600, 24262, 11041])).
% 25.89/17.27 tff(24602,plain,
% 25.89/17.27 (~v137(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24601, 24597])).
% 25.89/17.27 tff(24603,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB96) | (~v138(constB96)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB96) | (~v138(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24604,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB96) | (~v138(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24605,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB96) | (~v138(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24604, 24603])).
% 25.89/17.27 tff(24606,plain,
% 25.89/17.27 (~v138(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24605, 24277, 24602])).
% 25.89/17.27 tff(24607,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB96) | (~v144(constB96)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB96) | (~v144(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24608,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB96) | (~v144(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24609,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB96) | (~v144(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24608, 24607])).
% 25.89/17.27 tff(24610,plain,
% 25.89/17.27 (~v144(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24609, 24305, 24534])).
% 25.89/17.27 tff(24611,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB96) | (~v142(constB96)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB96) | (~v142(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24612,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB96) | (~v142(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24613,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB96) | (~v142(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24612, 24611])).
% 25.89/17.27 tff(24614,plain,
% 25.89/17.27 (~v142(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24613, 2985, 24610])).
% 25.89/17.27 tff(24615,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB96) | v142(constB96) | (~v135(constB96)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB96) | v142(constB96) | (~v135(constB96)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24616,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB96) | v142(constB96) | (~v135(constB96)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24617,plain,
% 25.89/17.27 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB96) | v142(constB96) | (~v135(constB96))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24616, 24615])).
% 25.89/17.27 tff(24618,plain,
% 25.89/17.27 (v138(constB96) | (~v135(constB96))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24617, 24247, 24614])).
% 25.89/17.27 tff(24619,plain,
% 25.89/17.27 (~v135(constB96)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24618, 24606])).
% 25.89/17.27 tff(24620,plain,
% 25.89/17.27 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.27 tff(24621,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97)))),
% 25.89/17.27 inference(quant_inst,[status(thm)],[])).
% 25.89/17.27 tff(24622,plain,
% 25.89/17.27 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB96, constB97)) | v135(constB96) | (~v137(constB97))),
% 25.89/17.27 inference(modus_ponens,[status(thm)],[24621, 24620])).
% 25.89/17.27 tff(24623,plain,
% 25.89/17.27 (v135(constB96) | (~v137(constB97))),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24622, 24262, 11103])).
% 25.89/17.27 tff(24624,plain,
% 25.89/17.27 (~v137(constB97)),
% 25.89/17.27 inference(unit_resolution,[status(thm)],[24623, 24619])).
% 25.89/17.27 tff(24625,plain,
% 25.89/17.27 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB97) | (~v153(constB97)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB97) | (~v153(constB97)))),
% 25.89/17.27 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24626,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB97) | (~v153(constB97)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24627,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB97) | (~v153(constB97))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24626, 24625])).
% 25.89/17.28 tff(24628,plain,
% 25.89/17.28 (~v153(constB97)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24627, 24437, 24624])).
% 25.89/17.28 tff(24629,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB97) | v155(constB97) | (~v150(constB97)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB97) | v155(constB97) | (~v150(constB97)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24630,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB97) | v155(constB97) | (~v150(constB97)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24631,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB97) | v155(constB97) | (~v150(constB97))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24630, 24629])).
% 25.89/17.28 tff(24632,plain,
% 25.89/17.28 (v155(constB97) | (~v150(constB97))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24631, 24496, 24628])).
% 25.89/17.28 tff(24633,plain,
% 25.89/17.28 (~v150(constB97)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24632, 24576])).
% 25.89/17.28 tff(24634,plain,
% 25.89/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24635,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24636,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB97, constB98)) | v150(constB97) | (~v152(constB98))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24635, 24634])).
% 25.89/17.28 tff(24637,plain,
% 25.89/17.28 (v150(constB97) | (~v152(constB98))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24636, 24511, 11222])).
% 25.89/17.28 tff(24638,plain,
% 25.89/17.28 (~v152(constB98)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24637, 24633])).
% 25.89/17.28 tff(24639,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB98) | (~v155(constB98)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB98) | (~v155(constB98)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24640,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB98) | (~v155(constB98)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24641,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB98) | (~v155(constB98))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24640, 24639])).
% 25.89/17.28 tff(24642,plain,
% 25.89/17.28 (~v155(constB98)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24641, 24526, 24638])).
% 25.89/17.28 tff(24643,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB98)) | (~v141(constB98)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB98)) | (~v141(constB98)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24644,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB98)) | (~v141(constB98)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24645,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB98)) | (~v141(constB98))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24644, 24643])).
% 25.89/17.28 tff(24646,plain,
% 25.89/17.28 (~v141(constB98)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24645, 24291, 11242])).
% 25.89/17.28 tff(24647,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB98) | (~v154(constB98)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB98) | (~v154(constB98)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24648,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB98) | (~v154(constB98)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24649,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB98) | (~v154(constB98))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24648, 24647])).
% 25.89/17.28 tff(24650,plain,
% 25.89/17.28 (~v154(constB98)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24649, 24544, 24646])).
% 25.89/17.28 tff(24651,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB98) | (~v153(constB98)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB98) | (~v153(constB98)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24652,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB98) | (~v153(constB98)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24653,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB98) | (~v153(constB98))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24652, 24651])).
% 25.89/17.28 tff(24654,plain,
% 25.89/17.28 (~v153(constB98)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24653, 24558, 24650])).
% 25.89/17.28 tff(24655,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB98) | v155(constB98) | (~v150(constB98)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB98) | v155(constB98) | (~v150(constB98)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24656,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB98) | v155(constB98) | (~v150(constB98)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24657,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB98) | v155(constB98) | (~v150(constB98))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24656, 24655])).
% 25.89/17.28 tff(24658,plain,
% 25.89/17.28 (v155(constB98) | (~v150(constB98))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24657, 24496, 24654])).
% 25.89/17.28 tff(24659,plain,
% 25.89/17.28 (~v150(constB98)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24658, 24642])).
% 25.89/17.28 tff(24660,plain,
% 25.89/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24661,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24662,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB98, constB99)) | v150(constB98) | (~v152(constB99))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24661, 24660])).
% 25.89/17.28 tff(24663,plain,
% 25.89/17.28 (v150(constB98) | (~v152(constB99))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24662, 24511, 11311])).
% 25.89/17.28 tff(24664,plain,
% 25.89/17.28 (~v152(constB99)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24663, 24659])).
% 25.89/17.28 tff(24665,plain,
% 25.89/17.28 (^[VarCurr: state_type] : refl((v152(VarCurr) | (~v164(VarCurr))) <=> (v152(VarCurr) | (~v164(VarCurr))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24666,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24665])).
% 25.89/17.28 tff(24667,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24668,plain,
% 25.89/17.28 (^[VarCurr: state_type] : rewrite(((~v164(VarCurr)) | v152(VarCurr)) <=> (v152(VarCurr) | (~v164(VarCurr))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24669,plain,
% 25.89/17.28 (![VarCurr: state_type] : ((~v164(VarCurr)) | v152(VarCurr)) <=> ![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24668])).
% 25.89/17.28 tff(24670,axiom,(![VarCurr: state_type] : ((~v164(VarCurr)) | v152(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_2')).
% 25.89/17.28 tff(24671,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24670, 24669])).
% 25.89/17.28 tff(24672,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24671, 24667])).
% 25.89/17.28 tff(24673,plain,(
% 25.89/17.28 ![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(skolemize,[status(sab)],[24672])).
% 25.89/17.28 tff(24674,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24673, 24666])).
% 25.89/17.28 tff(24675,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB99) | (~v164(constB99)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB99) | (~v164(constB99)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24676,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB99) | (~v164(constB99)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24677,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB99) | (~v164(constB99))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24676, 24675])).
% 25.89/17.28 tff(24678,plain,
% 25.89/17.28 (~v164(constB99)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24677, 24674, 24664])).
% 25.89/17.28 tff(24679,plain,
% 25.89/17.28 (^[VarCurr: state_type] : refl((v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr))) <=> (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24680,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24679])).
% 25.89/17.28 tff(24681,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24682,plain,
% 25.89/17.28 (^[VarCurr: state_type] : trans(monotonicity(rewrite(((~v160(VarCurr)) | v163(VarCurr)) <=> (v163(VarCurr) | (~v160(VarCurr)))), ((((~v160(VarCurr)) | v163(VarCurr)) | v164(VarCurr)) <=> ((v163(VarCurr) | (~v160(VarCurr))) | v164(VarCurr)))), rewrite(((v163(VarCurr) | (~v160(VarCurr))) | v164(VarCurr)) <=> (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))), ((((~v160(VarCurr)) | v163(VarCurr)) | v164(VarCurr)) <=> (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24683,plain,
% 25.89/17.28 (![VarCurr: state_type] : (((~v160(VarCurr)) | v163(VarCurr)) | v164(VarCurr)) <=> ![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24682])).
% 25.89/17.28 tff(24684,axiom,(![VarCurr: state_type] : (((~v160(VarCurr)) | v163(VarCurr)) | v164(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_40_1_3')).
% 25.89/17.28 tff(24685,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24684, 24683])).
% 25.89/17.28 tff(24686,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24685, 24681])).
% 25.89/17.28 tff(24687,plain,(
% 25.89/17.28 ![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 25.89/17.28 inference(skolemize,[status(sab)],[24686])).
% 25.89/17.28 tff(24688,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24687, 24680])).
% 25.89/17.28 tff(24689,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB99) | v164(constB99) | (~v160(constB99)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB99) | v164(constB99) | (~v160(constB99)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24690,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB99) | v164(constB99) | (~v160(constB99)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24691,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB99) | v164(constB99) | (~v160(constB99))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24690, 24689])).
% 25.89/17.28 tff(24692,plain,
% 25.89/17.28 (v163(constB99) | (~v160(constB99))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24691, 24688, 24678])).
% 25.89/17.28 tff(24693,plain,
% 25.89/17.28 (~v160(constB99)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24692, 24183])).
% 25.89/17.28 tff(24694,plain,
% 25.89/17.28 (^[VarNext: state_type, VarCurr: state_type] : refl(((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24695,plain,
% 25.89/17.28 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24694])).
% 25.89/17.28 tff(24696,plain,
% 25.89/17.28 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24697,plain,
% 25.89/17.28 (^[VarNext: state_type, VarCurr: state_type] : trans(monotonicity(rewrite(((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v162(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)) <=> (((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)))), rewrite((((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))), ((((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24698,plain,
% 25.89/17.28 (![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr)) <=> ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24697])).
% 25.89/17.28 tff(24699,axiom,(![VarNext: state_type, VarCurr: state_type] : (((~nextState(VarCurr, VarNext)) | (~v162(VarNext))) | v160(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_10_1_2')).
% 25.89/17.28 tff(24700,plain,
% 25.89/17.28 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 25.89/17.28 tff(24701,plain,
% 25.89/17.28 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24700, 24696])).
% 25.89/17.28 tff(24702,plain,(
% 25.89/17.28 ![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 25.89/17.28 inference(skolemize,[status(sab)],[24701])).
% 25.89/17.28 tff(24703,plain,
% 25.89/17.28 (![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24702, 24695])).
% 25.89/17.28 tff(24704,plain,
% 25.89/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24705,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24706,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB99, constB100)) | v160(constB99) | (~v162(constB100))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24705, 24704])).
% 25.89/17.28 tff(24707,plain,
% 25.89/17.28 (v160(constB99) | (~v162(constB100))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24706, 24703, 11462])).
% 25.89/17.28 tff(24708,plain,
% 25.89/17.28 (~v162(constB100)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24707, 24693])).
% 25.89/17.28 tff(24709,plain,
% 25.89/17.28 (^[VarCurr: state_type] : refl((v162(VarCurr) | (~v163(VarCurr))) <=> (v162(VarCurr) | (~v163(VarCurr))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24710,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24709])).
% 25.89/17.28 tff(24711,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24712,plain,
% 25.89/17.28 (^[VarCurr: state_type] : rewrite(((~v163(VarCurr)) | v162(VarCurr)) <=> (v162(VarCurr) | (~v163(VarCurr))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24713,plain,
% 25.89/17.28 (![VarCurr: state_type] : ((~v163(VarCurr)) | v162(VarCurr)) <=> ![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24712])).
% 25.89/17.28 tff(24714,axiom,(![VarCurr: state_type] : ((~v163(VarCurr)) | v162(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_38_1_1_2')).
% 25.89/17.28 tff(24715,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24714, 24713])).
% 25.89/17.28 tff(24716,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24715, 24711])).
% 25.89/17.28 tff(24717,plain,(
% 25.89/17.28 ![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 25.89/17.28 inference(skolemize,[status(sab)],[24716])).
% 25.89/17.28 tff(24718,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24717, 24710])).
% 25.89/17.28 tff(24719,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB100) | (~v163(constB100)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB100) | (~v163(constB100)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24720,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB100) | (~v163(constB100)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24721,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB100) | (~v163(constB100))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24720, 24719])).
% 25.89/17.28 tff(24722,plain,
% 25.89/17.28 (~v163(constB100)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24721, 24718, 24708])).
% 25.89/17.28 tff(24723,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB100)) | (~v141(constB100)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB100)) | (~v141(constB100)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24724,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB100)) | (~v141(constB100)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24725,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB100)) | (~v141(constB100))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24724, 24723])).
% 25.89/17.28 tff(24726,plain,
% 25.89/17.28 (~v141(constB100)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24725, 24291, 11482])).
% 25.89/17.28 tff(24727,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB100) | (~v154(constB100)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB100) | (~v154(constB100)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24728,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB100) | (~v154(constB100)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24729,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB100) | (~v154(constB100))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24728, 24727])).
% 25.89/17.28 tff(24730,plain,
% 25.89/17.28 (~v154(constB100)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24729, 24544, 24726])).
% 25.89/17.28 tff(24731,plain,
% 25.89/17.28 (^[VarCurr: state_type] : refl((v154(VarCurr) | (~v164(VarCurr))) <=> (v154(VarCurr) | (~v164(VarCurr))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24732,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24731])).
% 25.89/17.28 tff(24733,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24734,plain,
% 25.89/17.28 (^[VarCurr: state_type] : rewrite(((~v164(VarCurr)) | v154(VarCurr)) <=> (v154(VarCurr) | (~v164(VarCurr))))),
% 25.89/17.28 inference(bind,[status(th)],[])).
% 25.89/17.28 tff(24735,plain,
% 25.89/17.28 (![VarCurr: state_type] : ((~v164(VarCurr)) | v154(VarCurr)) <=> ![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(quant_intro,[status(thm)],[24734])).
% 25.89/17.28 tff(24736,axiom,(![VarCurr: state_type] : ((~v164(VarCurr)) | v154(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_39_1_1_3')).
% 25.89/17.28 tff(24737,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24736, 24735])).
% 25.89/17.28 tff(24738,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24737, 24733])).
% 25.89/17.28 tff(24739,plain,(
% 25.89/17.28 ![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(skolemize,[status(sab)],[24738])).
% 25.89/17.28 tff(24740,plain,
% 25.89/17.28 (![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24739, 24732])).
% 25.89/17.28 tff(24741,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB100) | (~v164(constB100)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB100) | (~v164(constB100)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24742,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB100) | (~v164(constB100)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24743,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB100) | (~v164(constB100))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24742, 24741])).
% 25.89/17.28 tff(24744,plain,
% 25.89/17.28 (~v164(constB100)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24743, 24740, 24730])).
% 25.89/17.28 tff(24745,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB100) | v164(constB100) | (~v160(constB100)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB100) | v164(constB100) | (~v160(constB100)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24746,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB100) | v164(constB100) | (~v160(constB100)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24747,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB100) | v164(constB100) | (~v160(constB100))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24746, 24745])).
% 25.89/17.28 tff(24748,plain,
% 25.89/17.28 (v163(constB100) | (~v160(constB100))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24747, 24688, 24744])).
% 25.89/17.28 tff(24749,plain,
% 25.89/17.28 (~v160(constB100)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24748, 24722])).
% 25.89/17.28 tff(24750,plain,
% 25.89/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24751,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24752,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB100, constB101)) | v160(constB100) | (~v162(constB101))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24751, 24750])).
% 25.89/17.28 tff(24753,plain,
% 25.89/17.28 (v160(constB100) | (~v162(constB101))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24752, 24703, 11527])).
% 25.89/17.28 tff(24754,plain,
% 25.89/17.28 (~v162(constB101)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24753, 24749])).
% 25.89/17.28 tff(24755,plain,
% 25.89/17.28 ($false),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24754, 24131])).
% 25.89/17.28 tff(24756,plain,(~(constB101 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.28 tff(24757,assumption,(constB175 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.28 tff(24758,plain,
% 25.89/17.28 (v162(constB175) <=> v162(sK0_VarCurr)),
% 25.89/17.28 inference(monotonicity,[status(thm)],[24757])).
% 25.89/17.28 tff(24759,plain,
% 25.89/17.28 (v162(sK0_VarCurr) <=> v162(constB175)),
% 25.89/17.28 inference(symmetry,[status(thm)],[24758])).
% 25.89/17.28 tff(24760,plain,
% 25.89/17.28 (v162(constB175)),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24130, 24759])).
% 25.89/17.28 tff(24761,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB169) | (~v144(constB169)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB169) | (~v144(constB169)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24762,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB169) | (~v144(constB169)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24763,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB169) | (~v144(constB169))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24762, 24761])).
% 25.89/17.28 tff(24764,plain,
% 25.89/17.28 (~v144(constB169)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24763, 2971, 20405])).
% 25.89/17.28 tff(24765,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB169) | (~v142(constB169)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB169) | (~v142(constB169)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24766,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB169) | (~v142(constB169)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24767,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB169) | (~v142(constB169))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24766, 24765])).
% 25.89/17.28 tff(24768,plain,
% 25.89/17.28 (~v142(constB169)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24767, 2985, 24764])).
% 25.89/17.28 tff(24769,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB167)) | (~v84(constB167, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB167)) | (~v84(constB167, bitIndex2)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24770,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB167)) | (~v84(constB167, bitIndex2)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24771,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB167)) | (~v84(constB167, bitIndex2))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24770, 24769])).
% 25.89/17.28 tff(24772,plain,
% 25.89/17.28 (~v145(constB167)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24771, 16179, 20089])).
% 25.89/17.28 tff(24773,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB167) | (~v144(constB167)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB167) | (~v144(constB167)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24774,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB167) | (~v144(constB167)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24775,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB167) | (~v144(constB167))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24774, 24773])).
% 25.89/17.28 tff(24776,plain,
% 25.89/17.28 (~v144(constB167)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24775, 2971, 24772])).
% 25.89/17.28 tff(24777,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB167) | (~v142(constB167)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB167) | (~v142(constB167)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24778,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB167) | (~v142(constB167)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24779,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB167) | (~v142(constB167))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24778, 24777])).
% 25.89/17.28 tff(24780,plain,
% 25.89/17.28 (~v142(constB167)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24779, 2985, 24776])).
% 25.89/17.28 tff(24781,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v141(constB167))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB167) | (~v9(constB167)) | v141(constB167))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24782,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB167) | (~v9(constB167)) | v141(constB167))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24783,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB167) | (~v9(constB167)) | v141(constB167)),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24782, 24781])).
% 25.89/17.28 tff(24784,plain,
% 25.89/17.28 ((~v9(constB167)) | v141(constB167)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24783, 3083, 20065])).
% 25.89/17.28 tff(24785,plain,
% 25.89/17.28 (v141(constB167)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24784, 20209])).
% 25.89/17.28 tff(24786,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB167)) | v140(constB167))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB167)) | v140(constB167))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24787,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB167)) | v140(constB167))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24788,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB167)) | v140(constB167)),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24787, 24786])).
% 25.89/17.28 tff(24789,plain,
% 25.89/17.28 (v140(constB167)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24788, 24165, 24785])).
% 25.89/17.28 tff(24790,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB167)) | (~v140(constB167)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB167)) | (~v140(constB167)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24791,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB167)) | (~v140(constB167)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24792,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB167)) | (~v140(constB167))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24791, 24790])).
% 25.89/17.28 tff(24793,plain,
% 25.89/17.28 (~v138(constB167)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24792, 24221, 24789])).
% 25.89/17.28 tff(24794,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB167) | v142(constB167) | (~v135(constB167)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB167) | v142(constB167) | (~v135(constB167)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24795,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB167) | v142(constB167) | (~v135(constB167)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24796,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB167) | v142(constB167) | (~v135(constB167))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24795, 24794])).
% 25.89/17.28 tff(24797,plain,
% 25.89/17.28 (v142(constB167) | (~v135(constB167))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24796, 24247, 24793])).
% 25.89/17.28 tff(24798,plain,
% 25.89/17.28 (~v135(constB167)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24797, 24780])).
% 25.89/17.28 tff(24799,plain,
% 25.89/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB167, constB168)) | v135(constB167) | (~v137(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB167, constB168)) | v135(constB167) | (~v137(constB168)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24800,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB167, constB168)) | v135(constB167) | (~v137(constB168)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24801,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB167, constB168)) | v135(constB167) | (~v137(constB168))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24800, 24799])).
% 25.89/17.28 tff(24802,plain,
% 25.89/17.28 (v135(constB167) | (~v137(constB168))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24801, 24262, 20204])).
% 25.89/17.28 tff(24803,plain,
% 25.89/17.28 (~v137(constB168)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24802, 24798])).
% 25.89/17.28 tff(24804,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB168) | (~v138(constB168)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB168) | (~v138(constB168)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24805,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB168) | (~v138(constB168)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24806,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB168) | (~v138(constB168))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24805, 24804])).
% 25.89/17.28 tff(24807,plain,
% 25.89/17.28 (~v138(constB168)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24806, 24277, 24803])).
% 25.89/17.28 tff(24808,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB168)) | (~v141(constB168)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB168)) | (~v141(constB168)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24809,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB168)) | (~v141(constB168)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24810,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB168)) | (~v141(constB168))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 25.89/17.28 tff(24811,plain,
% 25.89/17.28 (~v141(constB168)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24810, 24291, 20188])).
% 25.89/17.28 tff(24812,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB168) | (~v144(constB168)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB168) | (~v144(constB168)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24813,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB168) | (~v144(constB168)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24814,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB168) | (~v144(constB168))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24813, 24812])).
% 25.89/17.28 tff(24815,plain,
% 25.89/17.28 (~v144(constB168)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24814, 24305, 24811])).
% 25.89/17.28 tff(24816,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB168) | (~v142(constB168)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB168) | (~v142(constB168)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24817,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB168) | (~v142(constB168)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24818,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB168) | (~v142(constB168))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24817, 24816])).
% 25.89/17.28 tff(24819,plain,
% 25.89/17.28 (~v142(constB168)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24818, 2985, 24815])).
% 25.89/17.28 tff(24820,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB168) | v142(constB168) | (~v135(constB168)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB168) | v142(constB168) | (~v135(constB168)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24821,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB168) | v142(constB168) | (~v135(constB168)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24822,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB168) | v142(constB168) | (~v135(constB168))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24821, 24820])).
% 25.89/17.28 tff(24823,plain,
% 25.89/17.28 (v138(constB168) | (~v135(constB168))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24822, 24247, 24819])).
% 25.89/17.28 tff(24824,plain,
% 25.89/17.28 (~v135(constB168)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24823, 24807])).
% 25.89/17.28 tff(24825,plain,
% 25.89/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB168, constB169)) | v135(constB168) | (~v137(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB168, constB169)) | v135(constB168) | (~v137(constB169)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24826,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB168, constB169)) | v135(constB168) | (~v137(constB169)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24827,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB168, constB169)) | v135(constB168) | (~v137(constB169))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24826, 24825])).
% 25.89/17.28 tff(24828,plain,
% 25.89/17.28 (v135(constB168) | (~v137(constB169))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24827, 24262, 20337])).
% 25.89/17.28 tff(24829,plain,
% 25.89/17.28 (~v137(constB169)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24828, 24824])).
% 25.89/17.28 tff(24830,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB169) | (~v138(constB169)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB169) | (~v138(constB169)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24831,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB169) | (~v138(constB169)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24832,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB169) | (~v138(constB169))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24831, 24830])).
% 25.89/17.28 tff(24833,plain,
% 25.89/17.28 (~v138(constB169)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24832, 24277, 24829])).
% 25.89/17.28 tff(24834,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB169) | v142(constB169) | (~v135(constB169)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB169) | v142(constB169) | (~v135(constB169)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24835,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB169) | v142(constB169) | (~v135(constB169)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24836,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB169) | v142(constB169) | (~v135(constB169))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24835, 24834])).
% 25.89/17.28 tff(24837,plain,
% 25.89/17.28 (v142(constB169) | (~v135(constB169))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24836, 24247, 24833])).
% 25.89/17.28 tff(24838,plain,
% 25.89/17.28 (~v135(constB169)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24837, 24768])).
% 25.89/17.28 tff(24839,plain,
% 25.89/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24840,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24841,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB169, constB170)) | v135(constB169) | (~v137(constB170))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24840, 24839])).
% 25.89/17.28 tff(24842,plain,
% 25.89/17.28 (v135(constB169) | (~v137(constB170))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24841, 24262, 20439])).
% 25.89/17.28 tff(24843,plain,
% 25.89/17.28 (~v137(constB170)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24842, 24838])).
% 25.89/17.28 tff(24844,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB170) | (~v138(constB170)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB170) | (~v138(constB170)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24845,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB170) | (~v138(constB170)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24846,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB170) | (~v138(constB170))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24845, 24844])).
% 25.89/17.28 tff(24847,plain,
% 25.89/17.28 (~v138(constB170)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24846, 24277, 24843])).
% 25.89/17.28 tff(24848,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB170)) | (~v141(constB170)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB170)) | (~v141(constB170)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24849,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB170)) | (~v141(constB170)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24850,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB170)) | (~v141(constB170))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24849, 24848])).
% 25.89/17.28 tff(24851,plain,
% 25.89/17.28 (~v141(constB170)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24850, 24291, 20529])).
% 25.89/17.28 tff(24852,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB170) | (~v144(constB170)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB170) | (~v144(constB170)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24853,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB170) | (~v144(constB170)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24854,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB170) | (~v144(constB170))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24853, 24852])).
% 25.89/17.28 tff(24855,plain,
% 25.89/17.28 (~v144(constB170)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24854, 24305, 24851])).
% 25.89/17.28 tff(24856,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB170) | (~v142(constB170)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB170) | (~v142(constB170)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24857,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB170) | (~v142(constB170)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24858,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB170) | (~v142(constB170))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24857, 24856])).
% 25.89/17.28 tff(24859,plain,
% 25.89/17.28 (~v142(constB170)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24858, 2985, 24855])).
% 25.89/17.28 tff(24860,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB170) | v142(constB170) | (~v135(constB170)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB170) | v142(constB170) | (~v135(constB170)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24861,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB170) | v142(constB170) | (~v135(constB170)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24862,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB170) | v142(constB170) | (~v135(constB170))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24861, 24860])).
% 25.89/17.28 tff(24863,plain,
% 25.89/17.28 (v138(constB170) | (~v135(constB170))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24862, 24247, 24859])).
% 25.89/17.28 tff(24864,plain,
% 25.89/17.28 (~v135(constB170)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24863, 24847])).
% 25.89/17.28 tff(24865,plain,
% 25.89/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24866,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24867,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB170, constB171)) | v135(constB170) | (~v137(constB171))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24866, 24865])).
% 25.89/17.28 tff(24868,plain,
% 25.89/17.28 (v135(constB170) | (~v137(constB171))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24867, 24262, 20553])).
% 25.89/17.28 tff(24869,plain,
% 25.89/17.28 (~v137(constB171)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24868, 24864])).
% 25.89/17.28 tff(24870,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB171) | (~v153(constB171)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB171) | (~v153(constB171)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24871,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB171) | (~v153(constB171)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24872,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB171) | (~v153(constB171))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24871, 24870])).
% 25.89/17.28 tff(24873,plain,
% 25.89/17.28 (~v153(constB171)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24872, 24437, 24869])).
% 25.89/17.28 tff(24874,assumption,(v18(constB172)), introduced(assumption)).
% 25.89/17.28 tff(24875,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB172))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24876,plain,
% 25.89/17.28 ($false),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24875, 3012, 24874])).
% 25.89/17.28 tff(24877,plain,(~v18(constB172)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.28 tff(24878,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24879,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB172) | (~v1(constB172)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24880,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB172) | (~v1(constB172))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24879, 24878])).
% 25.89/17.28 tff(24881,plain,
% 25.89/17.28 (v22(constB172)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24880, 3028, 20726])).
% 25.89/17.28 tff(24882,plain,
% 25.89/17.28 (((~![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)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24883,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB172) | (~v22(constB172)) | (~v19(constB172)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24884,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB172) | (~v22(constB172)) | (~v19(constB172))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24883, 24882])).
% 25.89/17.28 tff(24885,plain,
% 25.89/17.28 (v18(constB172) | (~v19(constB172))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24884, 3042, 24881])).
% 25.89/17.28 tff(24886,plain,
% 25.89/17.28 (~v19(constB172)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24885, 24877])).
% 25.89/17.28 tff(24887,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24888,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB172) | v19(constB172))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24889,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB172) | v19(constB172)),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24888, 24887])).
% 25.89/17.28 tff(24890,plain,
% 25.89/17.28 (v13(constB172)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24889, 3054, 24886])).
% 25.89/17.28 tff(24891,plain,
% 25.89/17.28 (((~![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)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24892,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24893,plain,
% 25.89/17.28 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB171) | (~v13(constB172)) | (~nextState(constB171, constB172))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 25.89/17.28 tff(24894,plain,
% 25.89/17.28 (v9(constB171) | (~v13(constB172))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24893, 3068, 20706])).
% 25.89/17.28 tff(24895,plain,
% 25.89/17.28 (v9(constB171)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24894, 24890])).
% 25.89/17.28 tff(24896,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v141(constB171))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB171) | (~v9(constB171)) | v141(constB171))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24897,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB171) | (~v9(constB171)) | v141(constB171))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24898,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB171) | (~v9(constB171)) | v141(constB171)),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24897, 24896])).
% 25.89/17.28 tff(24899,plain,
% 25.89/17.28 ((~v9(constB171)) | v141(constB171)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24898, 3083, 20550])).
% 25.89/17.28 tff(24900,plain,
% 25.89/17.28 (v141(constB171)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24899, 24895])).
% 25.89/17.28 tff(24901,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB171)) | v140(constB171))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB171)) | v140(constB171))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24902,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB171)) | v140(constB171))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24903,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB171)) | v140(constB171)),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24902, 24901])).
% 25.89/17.28 tff(24904,plain,
% 25.89/17.28 (v140(constB171)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24903, 24165, 24900])).
% 25.89/17.28 tff(24905,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB171)) | (~v155(constB171)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB171)) | (~v155(constB171)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24906,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB171)) | (~v155(constB171)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24907,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB171)) | (~v155(constB171))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24906, 24905])).
% 25.89/17.28 tff(24908,plain,
% 25.89/17.28 (~v155(constB171)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24907, 24482, 24904])).
% 25.89/17.28 tff(24909,plain,
% 25.89/17.28 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB171) | v155(constB171) | (~v150(constB171)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB171) | v155(constB171) | (~v150(constB171)))),
% 25.89/17.28 inference(rewrite,[status(thm)],[])).
% 25.89/17.28 tff(24910,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB171) | v155(constB171) | (~v150(constB171)))),
% 25.89/17.28 inference(quant_inst,[status(thm)],[])).
% 25.89/17.28 tff(24911,plain,
% 25.89/17.28 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB171) | v155(constB171) | (~v150(constB171))),
% 25.89/17.28 inference(modus_ponens,[status(thm)],[24910, 24909])).
% 25.89/17.28 tff(24912,plain,
% 25.89/17.28 (v153(constB171) | (~v150(constB171))),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24911, 24496, 24908])).
% 25.89/17.28 tff(24913,plain,
% 25.89/17.28 (~v150(constB171)),
% 25.89/17.28 inference(unit_resolution,[status(thm)],[24912, 24873])).
% 25.89/17.28 tff(24914,plain,
% 25.89/17.28 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24915,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24916,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB171, constB172)) | v150(constB171) | (~v152(constB172))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24915, 24914])).
% 25.89/17.29 tff(24917,plain,
% 25.89/17.29 (v150(constB171) | (~v152(constB172))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24916, 24511, 20706])).
% 25.89/17.29 tff(24918,plain,
% 25.89/17.29 (~v152(constB172)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24917, 24913])).
% 25.89/17.29 tff(24919,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB172) | (~v155(constB172)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB172) | (~v155(constB172)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24920,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB172) | (~v155(constB172)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24921,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB172) | (~v155(constB172))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24920, 24919])).
% 25.89/17.29 tff(24922,plain,
% 25.89/17.29 (~v155(constB172)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24921, 24526, 24918])).
% 25.89/17.29 tff(24923,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB172)) | (~v141(constB172)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB172)) | (~v141(constB172)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24924,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB172)) | (~v141(constB172)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24925,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB172)) | (~v141(constB172))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24924, 24923])).
% 25.89/17.29 tff(24926,plain,
% 25.89/17.29 (~v141(constB172)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24925, 24291, 20726])).
% 25.89/17.29 tff(24927,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB172) | (~v154(constB172)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB172) | (~v154(constB172)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24928,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB172) | (~v154(constB172)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24929,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB172) | (~v154(constB172))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24928, 24927])).
% 25.89/17.29 tff(24930,plain,
% 25.89/17.29 (~v154(constB172)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24929, 24544, 24926])).
% 25.89/17.29 tff(24931,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB172) | (~v153(constB172)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB172) | (~v153(constB172)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24932,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB172) | (~v153(constB172)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24933,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB172) | (~v153(constB172))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24932, 24931])).
% 25.89/17.29 tff(24934,plain,
% 25.89/17.29 (~v153(constB172)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24933, 24558, 24930])).
% 25.89/17.29 tff(24935,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB172) | v155(constB172) | (~v150(constB172)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB172) | v155(constB172) | (~v150(constB172)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24936,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB172) | v155(constB172) | (~v150(constB172)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24937,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB172) | v155(constB172) | (~v150(constB172))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24936, 24935])).
% 25.89/17.29 tff(24938,plain,
% 25.89/17.29 (v155(constB172) | (~v150(constB172))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24937, 24496, 24934])).
% 25.89/17.29 tff(24939,plain,
% 25.89/17.29 (~v150(constB172)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24938, 24922])).
% 25.89/17.29 tff(24940,plain,
% 25.89/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24941,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24942,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB172, constB173)) | v150(constB172) | (~v152(constB173))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24941, 24940])).
% 25.89/17.29 tff(24943,plain,
% 25.89/17.29 (v150(constB172) | (~v152(constB173))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24942, 24511, 20768])).
% 25.89/17.29 tff(24944,plain,
% 25.89/17.29 (~v152(constB173)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24943, 24939])).
% 25.89/17.29 tff(24945,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB173) | (~v164(constB173)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB173) | (~v164(constB173)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24946,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB173) | (~v164(constB173)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24947,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB173) | (~v164(constB173))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24946, 24945])).
% 25.89/17.29 tff(24948,plain,
% 25.89/17.29 (~v164(constB173)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24947, 24674, 24944])).
% 25.89/17.29 tff(24949,assumption,(v18(constB174)), introduced(assumption)).
% 25.89/17.29 tff(24950,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB174))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24951,plain,
% 25.89/17.29 ($false),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24950, 3012, 24949])).
% 25.89/17.29 tff(24952,plain,(~v18(constB174)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.29 tff(24953,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24954,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB174) | (~v1(constB174)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24955,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB174) | (~v1(constB174))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24954, 24953])).
% 25.89/17.29 tff(24956,plain,
% 25.89/17.29 (v22(constB174)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24955, 3028, 20929])).
% 25.89/17.29 tff(24957,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB174) | (~v22(constB174)) | (~v19(constB174)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB174) | (~v22(constB174)) | (~v19(constB174)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24958,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB174) | (~v22(constB174)) | (~v19(constB174)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24959,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB174) | (~v22(constB174)) | (~v19(constB174))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24958, 24957])).
% 25.89/17.29 tff(24960,plain,
% 25.89/17.29 (v18(constB174) | (~v19(constB174))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24959, 3042, 24956])).
% 25.89/17.29 tff(24961,plain,
% 25.89/17.29 (~v19(constB174)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24960, 24952])).
% 25.89/17.29 tff(24962,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24963,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB174) | v19(constB174))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24964,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB174) | v19(constB174)),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24963, 24962])).
% 25.89/17.29 tff(24965,plain,
% 25.89/17.29 (v13(constB174)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24964, 3054, 24961])).
% 25.89/17.29 tff(24966,plain,
% 25.89/17.29 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24967,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24968,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB173) | (~v13(constB174)) | (~nextState(constB173, constB174))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24967, 24966])).
% 25.89/17.29 tff(24969,plain,
% 25.89/17.29 (v9(constB173) | (~v13(constB174))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24968, 3068, 20909])).
% 25.89/17.29 tff(24970,plain,
% 25.89/17.29 (v9(constB173)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24969, 24965])).
% 25.89/17.29 tff(24971,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v141(constB173))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB173) | (~v9(constB173)) | v141(constB173))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24972,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB173) | (~v9(constB173)) | v141(constB173))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24973,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB173) | (~v9(constB173)) | v141(constB173)),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24972, 24971])).
% 25.89/17.29 tff(24974,plain,
% 25.89/17.29 ((~v9(constB173)) | v141(constB173)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24973, 3083, 20765])).
% 25.89/17.29 tff(24975,plain,
% 25.89/17.29 (v141(constB173)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24974, 24970])).
% 25.89/17.29 tff(24976,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB173)) | v140(constB173))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB173)) | v140(constB173))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24977,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB173)) | v140(constB173))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24978,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB173)) | v140(constB173)),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24977, 24976])).
% 25.89/17.29 tff(24979,plain,
% 25.89/17.29 (v140(constB173)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24978, 24165, 24975])).
% 25.89/17.29 tff(24980,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB173)) | (~v163(constB173)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB173)) | (~v163(constB173)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24981,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB173)) | (~v163(constB173)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24982,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB173)) | (~v163(constB173))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24981, 24980])).
% 25.89/17.29 tff(24983,plain,
% 25.89/17.29 (~v163(constB173)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24982, 24179, 24979])).
% 25.89/17.29 tff(24984,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB173) | v164(constB173) | (~v160(constB173)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB173) | v164(constB173) | (~v160(constB173)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24985,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB173) | v164(constB173) | (~v160(constB173)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24986,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB173) | v164(constB173) | (~v160(constB173))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24985, 24984])).
% 25.89/17.29 tff(24987,plain,
% 25.89/17.29 (v164(constB173) | (~v160(constB173))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24986, 24688, 24983])).
% 25.89/17.29 tff(24988,plain,
% 25.89/17.29 (~v160(constB173)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24987, 24948])).
% 25.89/17.29 tff(24989,plain,
% 25.89/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24990,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24991,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB173, constB174)) | v160(constB173) | (~v162(constB174))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24990, 24989])).
% 25.89/17.29 tff(24992,plain,
% 25.89/17.29 (v160(constB173) | (~v162(constB174))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24991, 24703, 20909])).
% 25.89/17.29 tff(24993,plain,
% 25.89/17.29 (~v162(constB174)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24992, 24988])).
% 25.89/17.29 tff(24994,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB174) | (~v163(constB174)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB174) | (~v163(constB174)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24995,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB174) | (~v163(constB174)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(24996,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB174) | (~v163(constB174))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24995, 24994])).
% 25.89/17.29 tff(24997,plain,
% 25.89/17.29 (~v163(constB174)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[24996, 24718, 24993])).
% 25.89/17.29 tff(24998,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB174)) | (~v141(constB174)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB174)) | (~v141(constB174)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(24999,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB174)) | (~v141(constB174)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25000,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB174)) | (~v141(constB174))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24999, 24998])).
% 25.89/17.29 tff(25001,plain,
% 25.89/17.29 (~v141(constB174)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25000, 24291, 20929])).
% 25.89/17.29 tff(25002,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB174) | (~v154(constB174)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB174) | (~v154(constB174)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25003,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB174) | (~v154(constB174)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25004,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB174) | (~v154(constB174))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25003, 25002])).
% 25.89/17.29 tff(25005,plain,
% 25.89/17.29 (~v154(constB174)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25004, 24544, 25001])).
% 25.89/17.29 tff(25006,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB174) | (~v164(constB174)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB174) | (~v164(constB174)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25007,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB174) | (~v164(constB174)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25008,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB174) | (~v164(constB174))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25007, 25006])).
% 25.89/17.29 tff(25009,plain,
% 25.89/17.29 (~v164(constB174)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25008, 24740, 25005])).
% 25.89/17.29 tff(25010,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB174) | v164(constB174) | (~v160(constB174)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB174) | v164(constB174) | (~v160(constB174)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25011,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB174) | v164(constB174) | (~v160(constB174)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25012,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB174) | v164(constB174) | (~v160(constB174))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25011, 25010])).
% 25.89/17.29 tff(25013,plain,
% 25.89/17.29 (v163(constB174) | (~v160(constB174))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25012, 24688, 25009])).
% 25.89/17.29 tff(25014,plain,
% 25.89/17.29 (~v160(constB174)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25013, 24997])).
% 25.89/17.29 tff(25015,plain,
% 25.89/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25016,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25017,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB174, constB175)) | v160(constB174) | (~v162(constB175))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25016, 25015])).
% 25.89/17.29 tff(25018,plain,
% 25.89/17.29 (v160(constB174) | (~v162(constB175))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25017, 24703, 20971])).
% 25.89/17.29 tff(25019,plain,
% 25.89/17.29 (~v162(constB175)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25018, 25014])).
% 25.89/17.29 tff(25020,plain,
% 25.89/17.29 ($false),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25019, 24760])).
% 25.89/17.29 tff(25021,plain,(~(constB175 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.29 tff(25022,assumption,(constB145 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.29 tff(25023,plain,
% 25.89/17.29 (v162(constB145) <=> v162(sK0_VarCurr)),
% 25.89/17.29 inference(monotonicity,[status(thm)],[25022])).
% 25.89/17.29 tff(25024,plain,
% 25.89/17.29 (v162(sK0_VarCurr) <=> v162(constB145)),
% 25.89/17.29 inference(symmetry,[status(thm)],[25023])).
% 25.89/17.29 tff(25025,plain,
% 25.89/17.29 (v162(constB145)),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[24130, 25024])).
% 25.89/17.29 tff(25026,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB139) | (~v144(constB139)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB139) | (~v144(constB139)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25027,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB139) | (~v144(constB139)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25028,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB139) | (~v144(constB139))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25027, 25026])).
% 25.89/17.29 tff(25029,plain,
% 25.89/17.29 (~v144(constB139)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25028, 2971, 15548])).
% 25.89/17.29 tff(25030,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB139) | (~v142(constB139)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB139) | (~v142(constB139)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25031,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB139) | (~v142(constB139)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25032,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB139) | (~v142(constB139))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25031, 25030])).
% 25.89/17.29 tff(25033,plain,
% 25.89/17.29 (~v142(constB139)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25032, 2985, 25029])).
% 25.89/17.29 tff(25034,assumption,(v18(constB140)), introduced(assumption)).
% 25.89/17.29 tff(25035,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB140))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25036,plain,
% 25.89/17.29 ($false),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25035, 3012, 25034])).
% 25.89/17.29 tff(25037,plain,(~v18(constB140)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.29 tff(25038,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25039,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB140) | (~v1(constB140)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25040,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB140) | (~v1(constB140))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25039, 25038])).
% 25.89/17.29 tff(25041,plain,
% 25.89/17.29 (v22(constB140)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25040, 3028, 15687])).
% 25.89/17.29 tff(25042,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB140) | (~v22(constB140)) | (~v19(constB140)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB140) | (~v22(constB140)) | (~v19(constB140)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25043,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB140) | (~v22(constB140)) | (~v19(constB140)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25044,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB140) | (~v22(constB140)) | (~v19(constB140))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25043, 25042])).
% 25.89/17.29 tff(25045,plain,
% 25.89/17.29 (v18(constB140) | (~v19(constB140))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25044, 3042, 25041])).
% 25.89/17.29 tff(25046,plain,
% 25.89/17.29 (~v19(constB140)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25045, 25037])).
% 25.89/17.29 tff(25047,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25048,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB140) | v19(constB140))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25049,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB140) | v19(constB140)),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25048, 25047])).
% 25.89/17.29 tff(25050,plain,
% 25.89/17.29 (v13(constB140)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25049, 3054, 25046])).
% 25.89/17.29 tff(25051,plain,
% 25.89/17.29 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25052,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25053,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB139) | (~v13(constB140)) | (~nextState(constB139, constB140))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25052, 25051])).
% 25.89/17.29 tff(25054,plain,
% 25.89/17.29 (v9(constB139) | (~v13(constB140))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25053, 3068, 15667])).
% 25.89/17.29 tff(25055,plain,
% 25.89/17.29 (v9(constB139)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25054, 25050])).
% 25.89/17.29 tff(25056,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v141(constB139))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB139) | (~v9(constB139)) | v141(constB139))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25057,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB139) | (~v9(constB139)) | v141(constB139))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25058,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB139) | (~v9(constB139)) | v141(constB139)),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25057, 25056])).
% 25.89/17.29 tff(25059,plain,
% 25.89/17.29 ((~v9(constB139)) | v141(constB139)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25058, 3083, 15520])).
% 25.89/17.29 tff(25060,plain,
% 25.89/17.29 (v141(constB139)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25059, 25055])).
% 25.89/17.29 tff(25061,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB139) | (~v141(constB139)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB139) | (~v141(constB139)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25062,plain,
% 25.89/17.29 (((~v141(constB139)) | v140(constB139)) <=> (v140(constB139) | (~v141(constB139)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25063,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB139)) | v140(constB139))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB139) | (~v141(constB139))))),
% 25.89/17.29 inference(monotonicity,[status(thm)],[25062])).
% 25.89/17.29 tff(25064,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB139)) | v140(constB139))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB139) | (~v141(constB139)))),
% 25.89/17.29 inference(transitivity,[status(thm)],[25063, 25061])).
% 25.89/17.29 tff(25065,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB139)) | v140(constB139))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25066,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB139) | (~v141(constB139))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25065, 25064])).
% 25.89/17.29 tff(25067,plain,
% 25.89/17.29 (v140(constB139)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25066, 24165, 25060])).
% 25.89/17.29 tff(25068,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB139)) | (~v140(constB139)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB139)) | (~v140(constB139)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25069,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB139)) | (~v140(constB139)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25070,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB139)) | (~v140(constB139))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25069, 25068])).
% 25.89/17.29 tff(25071,plain,
% 25.89/17.29 (~v138(constB139)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25070, 24221, 25067])).
% 25.89/17.29 tff(25072,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB139) | v142(constB139) | (~v135(constB139)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB139) | v142(constB139) | (~v135(constB139)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25073,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB139) | v142(constB139) | (~v135(constB139)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25074,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB139) | v142(constB139) | (~v135(constB139))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25073, 25072])).
% 25.89/17.29 tff(25075,plain,
% 25.89/17.29 (v142(constB139) | (~v135(constB139))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25074, 24247, 25071])).
% 25.89/17.29 tff(25076,plain,
% 25.89/17.29 (~v135(constB139)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25075, 25033])).
% 25.89/17.29 tff(25077,plain,
% 25.89/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25078,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25079,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB139, constB140)) | v135(constB139) | (~v137(constB140))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25078, 25077])).
% 25.89/17.29 tff(25080,plain,
% 25.89/17.29 (v135(constB139) | (~v137(constB140))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25079, 24262, 15667])).
% 25.89/17.29 tff(25081,plain,
% 25.89/17.29 (~v137(constB140)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25080, 25076])).
% 25.89/17.29 tff(25082,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB140) | (~v138(constB140)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB140) | (~v138(constB140)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25083,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB140) | (~v138(constB140)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25084,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB140) | (~v138(constB140))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25083, 25082])).
% 25.89/17.29 tff(25085,plain,
% 25.89/17.29 (~v138(constB140)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25084, 24277, 25081])).
% 25.89/17.29 tff(25086,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB140)) | (~v141(constB140)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB140)) | (~v141(constB140)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25087,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB140)) | (~v141(constB140)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25088,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB140)) | (~v141(constB140))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25087, 25086])).
% 25.89/17.29 tff(25089,plain,
% 25.89/17.29 (~v141(constB140)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25088, 24291, 15687])).
% 25.89/17.29 tff(25090,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB140) | (~v144(constB140)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB140) | (~v144(constB140)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25091,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB140) | (~v144(constB140)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25092,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB140) | (~v144(constB140))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25091, 25090])).
% 25.89/17.29 tff(25093,plain,
% 25.89/17.29 (~v144(constB140)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25092, 24305, 25089])).
% 25.89/17.29 tff(25094,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB140) | (~v142(constB140)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB140) | (~v142(constB140)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25095,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB140) | (~v142(constB140)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25096,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB140) | (~v142(constB140))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25095, 25094])).
% 25.89/17.29 tff(25097,plain,
% 25.89/17.29 (~v142(constB140)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25096, 2985, 25093])).
% 25.89/17.29 tff(25098,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB140) | v142(constB140) | (~v135(constB140)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB140) | v142(constB140) | (~v135(constB140)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25099,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB140) | v142(constB140) | (~v135(constB140)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25100,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB140) | v142(constB140) | (~v135(constB140))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25099, 25098])).
% 25.89/17.29 tff(25101,plain,
% 25.89/17.29 (v138(constB140) | (~v135(constB140))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25100, 24247, 25097])).
% 25.89/17.29 tff(25102,plain,
% 25.89/17.29 (~v135(constB140)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25101, 25085])).
% 25.89/17.29 tff(25103,plain,
% 25.89/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25104,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25105,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB140, constB141)) | v135(constB140) | (~v137(constB141))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25104, 25103])).
% 25.89/17.29 tff(25106,plain,
% 25.89/17.29 (v135(constB140) | (~v137(constB141))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25105, 24262, 15732])).
% 25.89/17.29 tff(25107,plain,
% 25.89/17.29 (~v137(constB141)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25106, 25102])).
% 25.89/17.29 tff(25108,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB141) | (~v153(constB141)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB141) | (~v153(constB141)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25109,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB141) | (~v153(constB141)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25110,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB141) | (~v153(constB141))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25109, 25108])).
% 25.89/17.29 tff(25111,plain,
% 25.89/17.29 (~v153(constB141)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25110, 24437, 25107])).
% 25.89/17.29 tff(25112,assumption,(v18(constB142)), introduced(assumption)).
% 25.89/17.29 tff(25113,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB142))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25114,plain,
% 25.89/17.29 ($false),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25113, 3012, 25112])).
% 25.89/17.29 tff(25115,plain,(~v18(constB142)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.29 tff(25116,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25117,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB142) | (~v1(constB142)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25118,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB142) | (~v1(constB142))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25117, 25116])).
% 25.89/17.29 tff(25119,plain,
% 25.89/17.29 (v22(constB142)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25118, 3028, 16100])).
% 25.89/17.29 tff(25120,plain,
% 25.89/17.29 (((~![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)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25121,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB142) | (~v22(constB142)) | (~v19(constB142)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25122,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB142) | (~v22(constB142)) | (~v19(constB142))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25121, 25120])).
% 25.89/17.29 tff(25123,plain,
% 25.89/17.29 (v18(constB142) | (~v19(constB142))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25122, 3042, 25119])).
% 25.89/17.29 tff(25124,plain,
% 25.89/17.29 (~v19(constB142)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25123, 25115])).
% 25.89/17.29 tff(25125,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25126,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB142) | v19(constB142))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25127,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB142) | v19(constB142)),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25126, 25125])).
% 25.89/17.29 tff(25128,plain,
% 25.89/17.29 (v13(constB142)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25127, 3054, 25124])).
% 25.89/17.29 tff(25129,plain,
% 25.89/17.29 (((~![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)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25130,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25131,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB141) | (~v13(constB142)) | (~nextState(constB141, constB142))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25130, 25129])).
% 25.89/17.29 tff(25132,plain,
% 25.89/17.29 (v9(constB141) | (~v13(constB142))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25131, 3068, 16024])).
% 25.89/17.29 tff(25133,plain,
% 25.89/17.29 (v9(constB141)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25132, 25128])).
% 25.89/17.29 tff(25134,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v141(constB141))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB141) | (~v9(constB141)) | v141(constB141))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25135,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB141) | (~v9(constB141)) | v141(constB141))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25136,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB141) | (~v9(constB141)) | v141(constB141)),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25135, 25134])).
% 25.89/17.29 tff(25137,plain,
% 25.89/17.29 ((~v9(constB141)) | v141(constB141)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25136, 3083, 15729])).
% 25.89/17.29 tff(25138,plain,
% 25.89/17.29 (v141(constB141)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25137, 25133])).
% 25.89/17.29 tff(25139,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB141) | (~v141(constB141)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB141) | (~v141(constB141)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25140,plain,
% 25.89/17.29 (((~v141(constB141)) | v140(constB141)) <=> (v140(constB141) | (~v141(constB141)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25141,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB141)) | v140(constB141))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB141) | (~v141(constB141))))),
% 25.89/17.29 inference(monotonicity,[status(thm)],[25140])).
% 25.89/17.29 tff(25142,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB141)) | v140(constB141))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB141) | (~v141(constB141)))),
% 25.89/17.29 inference(transitivity,[status(thm)],[25141, 25139])).
% 25.89/17.29 tff(25143,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB141)) | v140(constB141))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25144,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB141) | (~v141(constB141))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25143, 25142])).
% 25.89/17.29 tff(25145,plain,
% 25.89/17.29 (v140(constB141)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25144, 24165, 25138])).
% 25.89/17.29 tff(25146,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB141)) | (~v155(constB141)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB141)) | (~v155(constB141)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25147,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB141)) | (~v155(constB141)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25148,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB141)) | (~v155(constB141))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25147, 25146])).
% 25.89/17.29 tff(25149,plain,
% 25.89/17.29 (~v155(constB141)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25148, 24482, 25145])).
% 25.89/17.29 tff(25150,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB141) | v155(constB141) | (~v150(constB141)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB141) | v155(constB141) | (~v150(constB141)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25151,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB141) | v155(constB141) | (~v150(constB141)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25152,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB141) | v155(constB141) | (~v150(constB141))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25151, 25150])).
% 25.89/17.29 tff(25153,plain,
% 25.89/17.29 (v153(constB141) | (~v150(constB141))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25152, 24496, 25149])).
% 25.89/17.29 tff(25154,plain,
% 25.89/17.29 (~v150(constB141)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25153, 25111])).
% 25.89/17.29 tff(25155,plain,
% 25.89/17.29 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25156,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25157,plain,
% 25.89/17.29 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB141, constB142)) | v150(constB141) | (~v152(constB142))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25156, 25155])).
% 25.89/17.29 tff(25158,plain,
% 25.89/17.29 (v150(constB141) | (~v152(constB142))),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25157, 24511, 16024])).
% 25.89/17.29 tff(25159,plain,
% 25.89/17.29 (~v152(constB142)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25158, 25154])).
% 25.89/17.29 tff(25160,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB142) | (~v155(constB142)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB142) | (~v155(constB142)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25161,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB142) | (~v155(constB142)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25162,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB142) | (~v155(constB142))),
% 25.89/17.29 inference(modus_ponens,[status(thm)],[25161, 25160])).
% 25.89/17.29 tff(25163,plain,
% 25.89/17.29 (~v155(constB142)),
% 25.89/17.29 inference(unit_resolution,[status(thm)],[25162, 24526, 25159])).
% 25.89/17.29 tff(25164,plain,
% 25.89/17.29 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB142)) | (~v141(constB142)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB142)) | (~v141(constB142)))),
% 25.89/17.29 inference(rewrite,[status(thm)],[])).
% 25.89/17.29 tff(25165,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB142)) | (~v141(constB142)))),
% 25.89/17.29 inference(quant_inst,[status(thm)],[])).
% 25.89/17.29 tff(25166,plain,
% 25.89/17.29 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB142)) | (~v141(constB142))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25165, 25164])).
% 25.89/17.30 tff(25167,plain,
% 25.89/17.30 (~v141(constB142)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25166, 24291, 16100])).
% 25.89/17.30 tff(25168,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB142) | (~v154(constB142)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB142) | (~v154(constB142)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25169,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB142) | (~v154(constB142)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25170,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB142) | (~v154(constB142))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25169, 25168])).
% 25.89/17.30 tff(25171,plain,
% 25.89/17.30 (~v154(constB142)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25170, 24544, 25167])).
% 25.89/17.30 tff(25172,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB142) | (~v153(constB142)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB142) | (~v153(constB142)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25173,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB142) | (~v153(constB142)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25174,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB142) | (~v153(constB142))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25173, 25172])).
% 25.89/17.30 tff(25175,plain,
% 25.89/17.30 (~v153(constB142)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25174, 24558, 25171])).
% 25.89/17.30 tff(25176,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB142) | v155(constB142) | (~v150(constB142)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB142) | v155(constB142) | (~v150(constB142)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25177,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB142) | v155(constB142) | (~v150(constB142)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25178,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB142) | v155(constB142) | (~v150(constB142))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25177, 25176])).
% 25.89/17.30 tff(25179,plain,
% 25.89/17.30 (v155(constB142) | (~v150(constB142))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25178, 24496, 25175])).
% 25.89/17.30 tff(25180,plain,
% 25.89/17.30 (~v150(constB142)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25179, 25163])).
% 25.89/17.30 tff(25181,plain,
% 25.89/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25182,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25183,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB142, constB143)) | v150(constB142) | (~v152(constB143))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25182, 25181])).
% 25.89/17.30 tff(25184,plain,
% 25.89/17.30 (v150(constB142) | (~v152(constB143))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25183, 24511, 16240])).
% 25.89/17.30 tff(25185,plain,
% 25.89/17.30 (~v152(constB143)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25184, 25180])).
% 25.89/17.30 tff(25186,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB143) | (~v164(constB143)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB143) | (~v164(constB143)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25187,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB143) | (~v164(constB143)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25188,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB143) | (~v164(constB143))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25187, 25186])).
% 25.89/17.30 tff(25189,plain,
% 25.89/17.30 (~v164(constB143)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25188, 24674, 25185])).
% 25.89/17.30 tff(25190,assumption,(v18(constB144)), introduced(assumption)).
% 25.89/17.30 tff(25191,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB144))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25192,plain,
% 25.89/17.30 ($false),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25191, 3012, 25190])).
% 25.89/17.30 tff(25193,plain,(~v18(constB144)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.30 tff(25194,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25195,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB144) | (~v1(constB144)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25196,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB144) | (~v1(constB144))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25195, 25194])).
% 25.89/17.30 tff(25197,plain,
% 25.89/17.30 (v22(constB144)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25196, 3028, 16464])).
% 25.89/17.30 tff(25198,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB144) | (~v22(constB144)) | (~v19(constB144)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB144) | (~v22(constB144)) | (~v19(constB144)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25199,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB144) | (~v22(constB144)) | (~v19(constB144)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25200,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB144) | (~v22(constB144)) | (~v19(constB144))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25199, 25198])).
% 25.89/17.30 tff(25201,plain,
% 25.89/17.30 (v18(constB144) | (~v19(constB144))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25200, 3042, 25197])).
% 25.89/17.30 tff(25202,plain,
% 25.89/17.30 (~v19(constB144)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25201, 25193])).
% 25.89/17.30 tff(25203,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25204,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB144) | v19(constB144))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25205,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB144) | v19(constB144)),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25204, 25203])).
% 25.89/17.30 tff(25206,plain,
% 25.89/17.30 (v13(constB144)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25205, 3054, 25202])).
% 25.89/17.30 tff(25207,plain,
% 25.89/17.30 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25208,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25209,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB143) | (~v13(constB144)) | (~nextState(constB143, constB144))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25208, 25207])).
% 25.89/17.30 tff(25210,plain,
% 25.89/17.30 (v9(constB143) | (~v13(constB144))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25209, 3068, 16444])).
% 25.89/17.30 tff(25211,plain,
% 25.89/17.30 (v9(constB143)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25210, 25206])).
% 25.89/17.30 tff(25212,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v141(constB143))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB143) | (~v9(constB143)) | v141(constB143))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25213,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB143) | (~v9(constB143)) | v141(constB143))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25214,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB143) | (~v9(constB143)) | v141(constB143)),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25213, 25212])).
% 25.89/17.30 tff(25215,plain,
% 25.89/17.30 ((~v9(constB143)) | v141(constB143)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25214, 3083, 16237])).
% 25.89/17.30 tff(25216,plain,
% 25.89/17.30 (v141(constB143)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25215, 25211])).
% 25.89/17.30 tff(25217,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB143)) | v140(constB143))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB143)) | v140(constB143))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25218,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB143)) | v140(constB143))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25219,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB143)) | v140(constB143)),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25218, 25217])).
% 25.89/17.30 tff(25220,plain,
% 25.89/17.30 (v140(constB143)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25219, 24165, 25216])).
% 25.89/17.30 tff(25221,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB143)) | (~v163(constB143)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB143)) | (~v163(constB143)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25222,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB143)) | (~v163(constB143)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25223,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB143)) | (~v163(constB143))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25222, 25221])).
% 25.89/17.30 tff(25224,plain,
% 25.89/17.30 (~v163(constB143)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25223, 24179, 25220])).
% 25.89/17.30 tff(25225,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB143) | v164(constB143) | (~v160(constB143)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB143) | v164(constB143) | (~v160(constB143)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25226,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB143) | v164(constB143) | (~v160(constB143)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25227,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB143) | v164(constB143) | (~v160(constB143))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25226, 25225])).
% 25.89/17.30 tff(25228,plain,
% 25.89/17.30 (v164(constB143) | (~v160(constB143))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25227, 24688, 25224])).
% 25.89/17.30 tff(25229,plain,
% 25.89/17.30 (~v160(constB143)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25228, 25189])).
% 25.89/17.30 tff(25230,plain,
% 25.89/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25231,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25232,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB143, constB144)) | v160(constB143) | (~v162(constB144))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25231, 25230])).
% 25.89/17.30 tff(25233,plain,
% 25.89/17.30 (v160(constB143) | (~v162(constB144))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25232, 24703, 16444])).
% 25.89/17.30 tff(25234,plain,
% 25.89/17.30 (~v162(constB144)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25233, 25229])).
% 25.89/17.30 tff(25235,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB144) | (~v163(constB144)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB144) | (~v163(constB144)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25236,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB144) | (~v163(constB144)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25237,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB144) | (~v163(constB144))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25236, 25235])).
% 25.89/17.30 tff(25238,plain,
% 25.89/17.30 (~v163(constB144)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25237, 24718, 25234])).
% 25.89/17.30 tff(25239,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB144)) | (~v141(constB144)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB144)) | (~v141(constB144)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25240,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB144)) | (~v141(constB144)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25241,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB144)) | (~v141(constB144))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25240, 25239])).
% 25.89/17.30 tff(25242,plain,
% 25.89/17.30 (~v141(constB144)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25241, 24291, 16464])).
% 25.89/17.30 tff(25243,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB144) | (~v154(constB144)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB144) | (~v154(constB144)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25244,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB144) | (~v154(constB144)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25245,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB144) | (~v154(constB144))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25244, 25243])).
% 25.89/17.30 tff(25246,plain,
% 25.89/17.30 (~v154(constB144)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25245, 24544, 25242])).
% 25.89/17.30 tff(25247,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB144) | (~v164(constB144)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB144) | (~v164(constB144)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25248,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB144) | (~v164(constB144)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25249,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB144) | (~v164(constB144))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25248, 25247])).
% 25.89/17.30 tff(25250,plain,
% 25.89/17.30 (~v164(constB144)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25249, 24740, 25246])).
% 25.89/17.30 tff(25251,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB144) | v164(constB144) | (~v160(constB144)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB144) | v164(constB144) | (~v160(constB144)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25252,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB144) | v164(constB144) | (~v160(constB144)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25253,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB144) | v164(constB144) | (~v160(constB144))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25252, 25251])).
% 25.89/17.30 tff(25254,plain,
% 25.89/17.30 (v163(constB144) | (~v160(constB144))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25253, 24688, 25250])).
% 25.89/17.30 tff(25255,plain,
% 25.89/17.30 (~v160(constB144)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25254, 25238])).
% 25.89/17.30 tff(25256,plain,
% 25.89/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25257,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25258,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB144, constB145)) | v160(constB144) | (~v162(constB145))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25257, 25256])).
% 25.89/17.30 tff(25259,plain,
% 25.89/17.30 (v160(constB144) | (~v162(constB145))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25258, 24703, 16506])).
% 25.89/17.30 tff(25260,plain,
% 25.89/17.30 (~v162(constB145)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25259, 25255])).
% 25.89/17.30 tff(25261,plain,
% 25.89/17.30 ($false),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25260, 25025])).
% 25.89/17.30 tff(25262,plain,(~(constB145 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.89/17.30 tff(25263,assumption,(constB103 = sK0_VarCurr), introduced(assumption)).
% 25.89/17.30 tff(25264,plain,
% 25.89/17.30 (v162(constB103) <=> v162(sK0_VarCurr)),
% 25.89/17.30 inference(monotonicity,[status(thm)],[25263])).
% 25.89/17.30 tff(25265,plain,
% 25.89/17.30 (v162(sK0_VarCurr) <=> v162(constB103)),
% 25.89/17.30 inference(symmetry,[status(thm)],[25264])).
% 25.89/17.30 tff(25266,plain,
% 25.89/17.30 (v162(constB103)),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[24130, 25265])).
% 25.89/17.30 tff(25267,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB99) | (~v155(constB99)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB99) | (~v155(constB99)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25268,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB99) | (~v155(constB99)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25269,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB99) | (~v155(constB99))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25268, 25267])).
% 25.89/17.30 tff(25270,plain,
% 25.89/17.30 (~v155(constB99)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25269, 24526, 24664])).
% 25.89/17.30 tff(25271,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB97) | (~v138(constB97)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB97) | (~v138(constB97)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25272,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB97) | (~v138(constB97)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25273,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB97) | (~v138(constB97))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25272, 25271])).
% 25.89/17.30 tff(25274,plain,
% 25.89/17.30 (~v138(constB97)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25273, 24277, 24624])).
% 25.89/17.30 tff(25275,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB97) | (~v144(constB97)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB97) | (~v144(constB97)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25276,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB97) | (~v144(constB97)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25277,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB97) | (~v144(constB97))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25276, 25275])).
% 25.89/17.30 tff(25278,plain,
% 25.89/17.30 (~v144(constB97)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25277, 2971, 11276])).
% 25.89/17.30 tff(25279,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB97) | (~v142(constB97)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB97) | (~v142(constB97)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25280,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB97) | (~v142(constB97)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25281,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB97) | (~v142(constB97))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25280, 25279])).
% 25.89/17.30 tff(25282,plain,
% 25.89/17.30 (~v142(constB97)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25281, 2985, 25278])).
% 25.89/17.30 tff(25283,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB97) | v142(constB97) | (~v135(constB97)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB97) | v142(constB97) | (~v135(constB97)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25284,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB97) | v142(constB97) | (~v135(constB97)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25285,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB97) | v142(constB97) | (~v135(constB97))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25284, 25283])).
% 25.89/17.30 tff(25286,plain,
% 25.89/17.30 (~v135(constB97)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25285, 24247, 25282, 25274])).
% 25.89/17.30 tff(25287,plain,
% 25.89/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB97, constB98)) | v135(constB97) | (~v137(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB97, constB98)) | v135(constB97) | (~v137(constB98)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25288,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB97, constB98)) | v135(constB97) | (~v137(constB98)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25289,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB97, constB98)) | v135(constB97) | (~v137(constB98))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25288, 25287])).
% 25.89/17.30 tff(25290,plain,
% 25.89/17.30 (v135(constB97) | (~v137(constB98))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25289, 24262, 11222])).
% 25.89/17.30 tff(25291,plain,
% 25.89/17.30 (~v137(constB98)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25290, 25286])).
% 25.89/17.30 tff(25292,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB98) | (~v138(constB98)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB98) | (~v138(constB98)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25293,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB98) | (~v138(constB98)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25294,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB98) | (~v138(constB98))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25293, 25292])).
% 25.89/17.30 tff(25295,plain,
% 25.89/17.30 (~v138(constB98)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25294, 24277, 25291])).
% 25.89/17.30 tff(25296,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB98) | (~v144(constB98)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB98) | (~v144(constB98)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25297,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB98) | (~v144(constB98)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25298,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB98) | (~v144(constB98))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25297, 25296])).
% 25.89/17.30 tff(25299,plain,
% 25.89/17.30 (~v144(constB98)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25298, 24305, 24646])).
% 25.89/17.30 tff(25300,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB98) | (~v142(constB98)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB98) | (~v142(constB98)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25301,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB98) | (~v142(constB98)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25302,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB98) | (~v142(constB98))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25301, 25300])).
% 25.89/17.30 tff(25303,plain,
% 25.89/17.30 (~v142(constB98)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25302, 2985, 25299])).
% 25.89/17.30 tff(25304,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB98) | v142(constB98) | (~v135(constB98)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB98) | v142(constB98) | (~v135(constB98)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25305,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB98) | v142(constB98) | (~v135(constB98)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25306,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB98) | v142(constB98) | (~v135(constB98))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25305, 25304])).
% 25.89/17.30 tff(25307,plain,
% 25.89/17.30 (v138(constB98) | (~v135(constB98))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25306, 24247, 25303])).
% 25.89/17.30 tff(25308,plain,
% 25.89/17.30 (~v135(constB98)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25307, 25295])).
% 25.89/17.30 tff(25309,plain,
% 25.89/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB98, constB99)) | v135(constB98) | (~v137(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB98, constB99)) | v135(constB98) | (~v137(constB99)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25310,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB98, constB99)) | v135(constB98) | (~v137(constB99)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25311,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB98, constB99)) | v135(constB98) | (~v137(constB99))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25310, 25309])).
% 25.89/17.30 tff(25312,plain,
% 25.89/17.30 (v135(constB98) | (~v137(constB99))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25311, 24262, 11311])).
% 25.89/17.30 tff(25313,plain,
% 25.89/17.30 (~v137(constB99)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25312, 25308])).
% 25.89/17.30 tff(25314,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB99) | (~v153(constB99)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB99) | (~v153(constB99)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25315,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB99) | (~v153(constB99)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25316,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB99) | (~v153(constB99))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25315, 25314])).
% 25.89/17.30 tff(25317,plain,
% 25.89/17.30 (~v153(constB99)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25316, 24437, 25313])).
% 25.89/17.30 tff(25318,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB99) | v155(constB99) | (~v150(constB99)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB99) | v155(constB99) | (~v150(constB99)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25319,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB99) | v155(constB99) | (~v150(constB99)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25320,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB99) | v155(constB99) | (~v150(constB99))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25319, 25318])).
% 25.89/17.30 tff(25321,plain,
% 25.89/17.30 (v155(constB99) | (~v150(constB99))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25320, 24496, 25317])).
% 25.89/17.30 tff(25322,plain,
% 25.89/17.30 (~v150(constB99)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25321, 25270])).
% 25.89/17.30 tff(25323,plain,
% 25.89/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB99, constB100)) | v150(constB99) | (~v152(constB100)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB99, constB100)) | v150(constB99) | (~v152(constB100)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25324,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB99, constB100)) | v150(constB99) | (~v152(constB100)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25325,plain,
% 25.89/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB99, constB100)) | v150(constB99) | (~v152(constB100))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25324, 25323])).
% 25.89/17.30 tff(25326,plain,
% 25.89/17.30 (v150(constB99) | (~v152(constB100))),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25325, 24511, 11462])).
% 25.89/17.30 tff(25327,plain,
% 25.89/17.30 (~v152(constB100)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25326, 25322])).
% 25.89/17.30 tff(25328,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB100) | (~v155(constB100)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB100) | (~v155(constB100)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25329,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB100) | (~v155(constB100)))),
% 25.89/17.30 inference(quant_inst,[status(thm)],[])).
% 25.89/17.30 tff(25330,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB100) | (~v155(constB100))),
% 25.89/17.30 inference(modus_ponens,[status(thm)],[25329, 25328])).
% 25.89/17.30 tff(25331,plain,
% 25.89/17.30 (~v155(constB100)),
% 25.89/17.30 inference(unit_resolution,[status(thm)],[25330, 24526, 25327])).
% 25.89/17.30 tff(25332,plain,
% 25.89/17.30 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB100) | (~v153(constB100)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB100) | (~v153(constB100)))),
% 25.89/17.30 inference(rewrite,[status(thm)],[])).
% 25.89/17.30 tff(25333,plain,
% 25.89/17.30 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB100) | (~v153(constB100)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25334,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB100) | (~v153(constB100))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25333, 25332])).
% 25.99/17.30 tff(25335,plain,
% 25.99/17.30 (~v153(constB100)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25334, 24558, 24730])).
% 25.99/17.30 tff(25336,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB100) | v155(constB100) | (~v150(constB100)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB100) | v155(constB100) | (~v150(constB100)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25337,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB100) | v155(constB100) | (~v150(constB100)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25338,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB100) | v155(constB100) | (~v150(constB100))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25337, 25336])).
% 25.99/17.30 tff(25339,plain,
% 25.99/17.30 (v155(constB100) | (~v150(constB100))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25338, 24496, 25335])).
% 25.99/17.30 tff(25340,plain,
% 25.99/17.30 (~v150(constB100)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25339, 25331])).
% 25.99/17.30 tff(25341,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB100, constB101)) | v150(constB100) | (~v152(constB101)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB100, constB101)) | v150(constB100) | (~v152(constB101)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25342,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB100, constB101)) | v150(constB100) | (~v152(constB101)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25343,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB100, constB101)) | v150(constB100) | (~v152(constB101))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25342, 25341])).
% 25.99/17.30 tff(25344,plain,
% 25.99/17.30 (v150(constB100) | (~v152(constB101))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25343, 24511, 11527])).
% 25.99/17.30 tff(25345,plain,
% 25.99/17.30 (~v152(constB101)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25344, 25340])).
% 25.99/17.30 tff(25346,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB101) | (~v164(constB101)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB101) | (~v164(constB101)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25347,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB101) | (~v164(constB101)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25348,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB101) | (~v164(constB101))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25347, 25346])).
% 25.99/17.30 tff(25349,plain,
% 25.99/17.30 (~v164(constB101)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25348, 24674, 25345])).
% 25.99/17.30 tff(25350,assumption,(v18(constB102)), introduced(assumption)).
% 25.99/17.30 tff(25351,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB102))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25352,plain,
% 25.99/17.30 ($false),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25351, 3012, 25350])).
% 25.99/17.30 tff(25353,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.30 tff(25354,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25355,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25356,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25355, 25354])).
% 25.99/17.30 tff(25357,plain,
% 25.99/17.30 (v22(constB102)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25356, 3028, 11903])).
% 25.99/17.30 tff(25358,plain,
% 25.99/17.30 (((~![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)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25359,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB102) | (~v22(constB102)) | (~v19(constB102)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25360,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB102) | (~v22(constB102)) | (~v19(constB102))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25359, 25358])).
% 25.99/17.30 tff(25361,plain,
% 25.99/17.30 (v18(constB102) | (~v19(constB102))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25360, 3042, 25357])).
% 25.99/17.30 tff(25362,plain,
% 25.99/17.30 (~v19(constB102)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25361, 25353])).
% 25.99/17.30 tff(25363,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25364,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25365,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25364, 25363])).
% 25.99/17.30 tff(25366,plain,
% 25.99/17.30 (v13(constB102)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25365, 3054, 25362])).
% 25.99/17.30 tff(25367,plain,
% 25.99/17.30 (((~![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)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25368,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25369,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB101) | (~v13(constB102)) | (~nextState(constB101, constB102))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25368, 25367])).
% 25.99/17.30 tff(25370,plain,
% 25.99/17.30 (v9(constB101) | (~v13(constB102))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25369, 3068, 11883])).
% 25.99/17.30 tff(25371,plain,
% 25.99/17.30 (v9(constB101)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25370, 25366])).
% 25.99/17.30 tff(25372,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v141(constB101))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB101) | (~v9(constB101)) | v141(constB101))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25373,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v141(constB101))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25374,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB101) | (~v9(constB101)) | v141(constB101)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25373, 25372])).
% 25.99/17.30 tff(25375,plain,
% 25.99/17.30 ((~v9(constB101)) | v141(constB101)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25374, 3083, 11524])).
% 25.99/17.30 tff(25376,plain,
% 25.99/17.30 (v141(constB101)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25375, 25371])).
% 25.99/17.30 tff(25377,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB101)) | v140(constB101))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB101)) | v140(constB101))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25378,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB101)) | v140(constB101))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25379,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB101)) | v140(constB101)),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25378, 25377])).
% 25.99/17.30 tff(25380,plain,
% 25.99/17.30 (v140(constB101)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25379, 24165, 25376])).
% 25.99/17.30 tff(25381,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB101)) | (~v163(constB101)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB101)) | (~v163(constB101)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25382,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB101)) | (~v163(constB101)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25383,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB101)) | (~v163(constB101))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25382, 25381])).
% 25.99/17.30 tff(25384,plain,
% 25.99/17.30 (~v163(constB101)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25383, 24179, 25380])).
% 25.99/17.30 tff(25385,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB101) | v164(constB101) | (~v160(constB101)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB101) | v164(constB101) | (~v160(constB101)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25386,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB101) | v164(constB101) | (~v160(constB101)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25387,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB101) | v164(constB101) | (~v160(constB101))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25386, 25385])).
% 25.99/17.30 tff(25388,plain,
% 25.99/17.30 (v164(constB101) | (~v160(constB101))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25387, 24688, 25384])).
% 25.99/17.30 tff(25389,plain,
% 25.99/17.30 (~v160(constB101)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25388, 25349])).
% 25.99/17.30 tff(25390,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB101, constB102)) | v160(constB101) | (~v162(constB102)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB101, constB102)) | v160(constB101) | (~v162(constB102)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25391,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB101, constB102)) | v160(constB101) | (~v162(constB102)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25392,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB101, constB102)) | v160(constB101) | (~v162(constB102))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25391, 25390])).
% 25.99/17.30 tff(25393,plain,
% 25.99/17.30 (v160(constB101) | (~v162(constB102))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25392, 24703, 11883])).
% 25.99/17.30 tff(25394,plain,
% 25.99/17.30 (~v162(constB102)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25393, 25389])).
% 25.99/17.30 tff(25395,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB102) | (~v163(constB102)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB102) | (~v163(constB102)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25396,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB102) | (~v163(constB102)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25397,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB102) | (~v163(constB102))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25396, 25395])).
% 25.99/17.30 tff(25398,plain,
% 25.99/17.30 (~v163(constB102)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25397, 24718, 25394])).
% 25.99/17.30 tff(25399,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB102)) | (~v141(constB102)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB102)) | (~v141(constB102)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25400,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB102)) | (~v141(constB102)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25401,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB102)) | (~v141(constB102))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25400, 25399])).
% 25.99/17.30 tff(25402,plain,
% 25.99/17.30 (~v141(constB102)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25401, 24291, 11903])).
% 25.99/17.30 tff(25403,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB102) | (~v154(constB102)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB102) | (~v154(constB102)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25404,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB102) | (~v154(constB102)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25405,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB102) | (~v154(constB102))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25404, 25403])).
% 25.99/17.30 tff(25406,plain,
% 25.99/17.30 (~v154(constB102)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25405, 24544, 25402])).
% 25.99/17.30 tff(25407,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB102) | (~v164(constB102)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB102) | (~v164(constB102)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25408,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB102) | (~v164(constB102)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25409,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB102) | (~v164(constB102))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25408, 25407])).
% 25.99/17.30 tff(25410,plain,
% 25.99/17.30 (~v164(constB102)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25409, 24740, 25406])).
% 25.99/17.30 tff(25411,plain,
% 25.99/17.30 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB102) | v164(constB102) | (~v160(constB102)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB102) | v164(constB102) | (~v160(constB102)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25412,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB102) | v164(constB102) | (~v160(constB102)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25413,plain,
% 25.99/17.30 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB102) | v164(constB102) | (~v160(constB102))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25412, 25411])).
% 25.99/17.30 tff(25414,plain,
% 25.99/17.30 (v163(constB102) | (~v160(constB102))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25413, 24688, 25410])).
% 25.99/17.30 tff(25415,plain,
% 25.99/17.30 (~v160(constB102)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25414, 25398])).
% 25.99/17.30 tff(25416,plain,
% 25.99/17.30 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB102, constB103)) | v160(constB102) | (~v162(constB103)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB102, constB103)) | v160(constB102) | (~v162(constB103)))),
% 25.99/17.30 inference(rewrite,[status(thm)],[])).
% 25.99/17.30 tff(25417,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB102, constB103)) | v160(constB102) | (~v162(constB103)))),
% 25.99/17.30 inference(quant_inst,[status(thm)],[])).
% 25.99/17.30 tff(25418,plain,
% 25.99/17.30 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB102, constB103)) | v160(constB102) | (~v162(constB103))),
% 25.99/17.30 inference(modus_ponens,[status(thm)],[25417, 25416])).
% 25.99/17.30 tff(25419,plain,
% 25.99/17.30 (v160(constB102) | (~v162(constB103))),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25418, 24703, 11945])).
% 25.99/17.30 tff(25420,plain,
% 25.99/17.30 (~v162(constB103)),
% 25.99/17.30 inference(unit_resolution,[status(thm)],[25419, 25415])).
% 25.99/17.30 tff(25421,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25420, 25266])).
% 25.99/17.31 tff(25422,plain,(~(constB103 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25423,assumption,(constB140 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.31 tff(25424,plain,
% 25.99/17.31 (v1(constB140) <=> v1(sK0_VarCurr)),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25423])).
% 25.99/17.31 tff(25425,plain,
% 25.99/17.31 (v1(sK0_VarCurr) <=> v1(constB140)),
% 25.99/17.31 inference(symmetry,[status(thm)],[25424])).
% 25.99/17.31 tff(25426,plain,
% 25.99/17.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB140))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25425])).
% 25.99/17.31 tff(25427,plain,
% 25.99/17.31 (^[VarCurr: state_type] : refl((v169(VarCurr) | (~v168(VarCurr))) <=> (v169(VarCurr) | (~v168(VarCurr))))),
% 25.99/17.31 inference(bind,[status(th)],[])).
% 25.99/17.31 tff(25428,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 25.99/17.31 inference(quant_intro,[status(thm)],[25427])).
% 25.99/17.31 tff(25429,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25430,plain,
% 25.99/17.31 (^[VarCurr: state_type] : rewrite(((~v168(VarCurr)) | v169(VarCurr)) <=> (v169(VarCurr) | (~v168(VarCurr))))),
% 25.99/17.31 inference(bind,[status(th)],[])).
% 25.99/17.31 tff(25431,plain,
% 25.99/17.31 (![VarCurr: state_type] : ((~v168(VarCurr)) | v169(VarCurr)) <=> ![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 25.99/17.31 inference(quant_intro,[status(thm)],[25430])).
% 25.99/17.31 tff(25432,axiom,(![VarCurr: state_type] : ((~v168(VarCurr)) | v169(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_43_1_1_1_1')).
% 25.99/17.31 tff(25433,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25432, 25431])).
% 25.99/17.31 tff(25434,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25433, 25429])).
% 25.99/17.31 tff(25435,plain,(
% 25.99/17.31 ![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 25.99/17.31 inference(skolemize,[status(sab)],[25434])).
% 25.99/17.31 tff(25436,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25435, 25428])).
% 25.99/17.31 tff(25437,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25438,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25439,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25438, 25437])).
% 25.99/17.31 tff(25440,plain,
% 25.99/17.31 (v169(sK0_VarCurr)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25439, 25436, 24116])).
% 25.99/17.31 tff(25441,plain,
% 25.99/17.31 (^[VarCurr: state_type] : refl((v170(VarCurr) | (~v169(VarCurr))) <=> (v170(VarCurr) | (~v169(VarCurr))))),
% 25.99/17.31 inference(bind,[status(th)],[])).
% 25.99/17.31 tff(25442,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 25.99/17.31 inference(quant_intro,[status(thm)],[25441])).
% 25.99/17.31 tff(25443,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25444,plain,
% 25.99/17.31 (^[VarCurr: state_type] : rewrite(((~v169(VarCurr)) | v170(VarCurr)) <=> (v170(VarCurr) | (~v169(VarCurr))))),
% 25.99/17.31 inference(bind,[status(th)],[])).
% 25.99/17.31 tff(25445,plain,
% 25.99/17.31 (![VarCurr: state_type] : ((~v169(VarCurr)) | v170(VarCurr)) <=> ![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 25.99/17.31 inference(quant_intro,[status(thm)],[25444])).
% 25.99/17.31 tff(25446,axiom,(![VarCurr: state_type] : ((~v169(VarCurr)) | v170(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_42_1_1_1_1')).
% 25.99/17.31 tff(25447,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25446, 25445])).
% 25.99/17.31 tff(25448,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25447, 25443])).
% 25.99/17.31 tff(25449,plain,(
% 25.99/17.31 ![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 25.99/17.31 inference(skolemize,[status(sab)],[25448])).
% 25.99/17.31 tff(25450,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25449, 25442])).
% 25.99/17.31 tff(25451,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25452,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25453,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25452, 25451])).
% 25.99/17.31 tff(25454,plain,
% 25.99/17.31 (v170(sK0_VarCurr)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25453, 25450, 25440])).
% 25.99/17.31 tff(25455,plain,
% 25.99/17.31 (^[VarCurr: state_type] : refl((v141(VarCurr) | (~v170(VarCurr))) <=> (v141(VarCurr) | (~v170(VarCurr))))),
% 25.99/17.31 inference(bind,[status(th)],[])).
% 25.99/17.31 tff(25456,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 25.99/17.31 inference(quant_intro,[status(thm)],[25455])).
% 25.99/17.31 tff(25457,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr))) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25458,plain,
% 25.99/17.31 (^[VarCurr: state_type] : rewrite(((~v170(VarCurr)) | v141(VarCurr)) <=> (v141(VarCurr) | (~v170(VarCurr))))),
% 25.99/17.31 inference(bind,[status(th)],[])).
% 25.99/17.31 tff(25459,plain,
% 25.99/17.31 (![VarCurr: state_type] : ((~v170(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 25.99/17.31 inference(quant_intro,[status(thm)],[25458])).
% 25.99/17.31 tff(25460,axiom,(![VarCurr: state_type] : ((~v170(VarCurr)) | v141(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_41_1_1_1_2')).
% 25.99/17.31 tff(25461,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25460, 25459])).
% 25.99/17.31 tff(25462,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25461, 25457])).
% 25.99/17.31 tff(25463,plain,(
% 25.99/17.31 ![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 25.99/17.31 inference(skolemize,[status(sab)],[25462])).
% 25.99/17.31 tff(25464,plain,
% 25.99/17.31 (![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25463, 25456])).
% 25.99/17.31 tff(25465,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))) | (v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))) | v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25466,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))) | (v141(sK0_VarCurr) | (~v170(sK0_VarCurr)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25467,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v170(VarCurr)))) | v141(sK0_VarCurr) | (~v170(sK0_VarCurr))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25466, 25465])).
% 25.99/17.31 tff(25468,plain,
% 25.99/17.31 (v141(sK0_VarCurr)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25467, 25464, 25454])).
% 25.99/17.31 tff(25469,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25470,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25471,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(sK0_VarCurr)) | (~v141(sK0_VarCurr))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25470, 25469])).
% 25.99/17.31 tff(25472,plain,
% 25.99/17.31 (~v1(sK0_VarCurr)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25471, 24291, 25468])).
% 25.99/17.31 tff(25473,plain,
% 25.99/17.31 (~v1(constB140)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25472, 25426])).
% 25.99/17.31 tff(25474,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[15687, 25473])).
% 25.99/17.31 tff(25475,plain,(~(constB140 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25476,assumption,(constB118 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.31 tff(25477,plain,
% 25.99/17.31 (v1(constB118) <=> v1(sK0_VarCurr)),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25476])).
% 25.99/17.31 tff(25478,plain,
% 25.99/17.31 (v1(sK0_VarCurr) <=> v1(constB118)),
% 25.99/17.31 inference(symmetry,[status(thm)],[25477])).
% 25.99/17.31 tff(25479,plain,
% 25.99/17.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB118))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25478])).
% 25.99/17.31 tff(25480,plain,
% 25.99/17.31 (~v1(constB118)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25472, 25479])).
% 25.99/17.31 tff(25481,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[13478, 25480])).
% 25.99/17.31 tff(25482,plain,(~(constB118 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25483,assumption,(constB95 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.31 tff(25484,plain,
% 25.99/17.31 (v84(constB95, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25483])).
% 25.99/17.31 tff(25485,plain,
% 25.99/17.31 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB95, bitIndex2)),
% 25.99/17.31 inference(symmetry,[status(thm)],[25484])).
% 25.99/17.31 tff(25486,plain,
% 25.99/17.31 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB95, bitIndex2))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25485])).
% 25.99/17.31 tff(25487,plain,
% 25.99/17.31 (~v84(constB95, bitIndex2)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[5, 25486])).
% 25.99/17.31 tff(25488,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[10957, 25487])).
% 25.99/17.31 tff(25489,plain,((~(constB95 = sK0_VarCurr)) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25490,plain,
% 25.99/17.31 (~(constB95 = sK0_VarCurr)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25489, 5])).
% 25.99/17.31 tff(25491,assumption,(constB20 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.31 tff(25492,plain,
% 25.99/17.31 (v1(constB20) <=> v1(sK0_VarCurr)),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25491])).
% 25.99/17.31 tff(25493,plain,
% 25.99/17.31 (v1(sK0_VarCurr) <=> v1(constB20)),
% 25.99/17.31 inference(symmetry,[status(thm)],[25492])).
% 25.99/17.31 tff(25494,plain,
% 25.99/17.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB20))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25493])).
% 25.99/17.31 tff(25495,plain,
% 25.99/17.31 (~v1(constB20)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25472, 25494])).
% 25.99/17.31 tff(25496,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[2701, 25495])).
% 25.99/17.31 tff(25497,plain,(~(constB20 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25498,assumption,(constB26 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.31 tff(25499,plain,
% 25.99/17.31 (v1(constB26) <=> v1(sK0_VarCurr)),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25498])).
% 25.99/17.31 tff(25500,plain,
% 25.99/17.31 (v1(sK0_VarCurr) <=> v1(constB26)),
% 25.99/17.31 inference(symmetry,[status(thm)],[25499])).
% 25.99/17.31 tff(25501,plain,
% 25.99/17.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB26))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25500])).
% 25.99/17.31 tff(25502,plain,
% 25.99/17.31 (~v1(constB26)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25472, 25501])).
% 25.99/17.31 tff(25503,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[3553, 25502])).
% 25.99/17.31 tff(25504,plain,(~(constB26 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25505,assumption,(constB138 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.31 tff(25506,plain,
% 25.99/17.31 (v1(constB138) <=> v1(sK0_VarCurr)),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25505])).
% 25.99/17.31 tff(25507,plain,
% 25.99/17.31 (v1(sK0_VarCurr) <=> v1(constB138)),
% 25.99/17.31 inference(symmetry,[status(thm)],[25506])).
% 25.99/17.31 tff(25508,plain,
% 25.99/17.31 ((~v1(sK0_VarCurr)) <=> (~v1(constB138))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25507])).
% 25.99/17.31 tff(25509,plain,
% 25.99/17.31 (~v1(constB138)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25472, 25508])).
% 25.99/17.31 tff(25510,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[15481, 25509])).
% 25.99/17.31 tff(25511,plain,(~(constB138 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25512,assumption,(constB89 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.31 tff(25513,plain,
% 25.99/17.31 (v162(constB89) <=> v162(sK0_VarCurr)),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25512])).
% 25.99/17.31 tff(25514,plain,
% 25.99/17.31 (v162(sK0_VarCurr) <=> v162(constB89)),
% 25.99/17.31 inference(symmetry,[status(thm)],[25513])).
% 25.99/17.31 tff(25515,plain,
% 25.99/17.31 (v162(constB89)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[24130, 25514])).
% 25.99/17.31 tff(25516,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB83)) | (~v84(constB83, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB83)) | (~v84(constB83, bitIndex2)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25517,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB83)) | (~v84(constB83, bitIndex2)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25518,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB83)) | (~v84(constB83, bitIndex2))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25517, 25516])).
% 25.99/17.31 tff(25519,plain,
% 25.99/17.31 (~v145(constB83)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25518, 16179, 9660])).
% 25.99/17.31 tff(25520,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB83) | (~v144(constB83)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB83) | (~v144(constB83)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25521,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB83) | (~v144(constB83)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25522,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB83) | (~v144(constB83))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25521, 25520])).
% 25.99/17.31 tff(25523,plain,
% 25.99/17.31 (~v144(constB83)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25522, 2971, 25519])).
% 25.99/17.31 tff(25524,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB83) | (~v142(constB83)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB83) | (~v142(constB83)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25525,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB83) | (~v142(constB83)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25526,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB83) | (~v142(constB83))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25525, 25524])).
% 25.99/17.31 tff(25527,plain,
% 25.99/17.31 (~v142(constB83)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25526, 2985, 25523])).
% 25.99/17.31 tff(25528,assumption,(v18(constB84)), introduced(assumption)).
% 25.99/17.31 tff(25529,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB84))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25530,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25529, 3012, 25528])).
% 25.99/17.31 tff(25531,plain,(~v18(constB84)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25532,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25533,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB84) | (~v1(constB84)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25534,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB84) | (~v1(constB84))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25533, 25532])).
% 25.99/17.31 tff(25535,plain,
% 25.99/17.31 (v22(constB84)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25534, 3028, 9779])).
% 25.99/17.31 tff(25536,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB84) | (~v22(constB84)) | (~v19(constB84)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB84) | (~v22(constB84)) | (~v19(constB84)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25537,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB84) | (~v22(constB84)) | (~v19(constB84)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25538,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB84) | (~v22(constB84)) | (~v19(constB84))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25537, 25536])).
% 25.99/17.31 tff(25539,plain,
% 25.99/17.31 (v18(constB84) | (~v19(constB84))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25538, 3042, 25535])).
% 25.99/17.31 tff(25540,plain,
% 25.99/17.31 (~v19(constB84)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25539, 25531])).
% 25.99/17.31 tff(25541,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25542,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB84) | v19(constB84))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25543,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB84) | v19(constB84)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25542, 25541])).
% 25.99/17.31 tff(25544,plain,
% 25.99/17.31 (v13(constB84)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25543, 3054, 25540])).
% 25.99/17.31 tff(25545,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25546,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25547,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB83) | (~v13(constB84)) | (~nextState(constB83, constB84))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25546, 25545])).
% 25.99/17.31 tff(25548,plain,
% 25.99/17.31 (v9(constB83) | (~v13(constB84))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25547, 3068, 9759])).
% 25.99/17.31 tff(25549,plain,
% 25.99/17.31 (v9(constB83)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25548, 25544])).
% 25.99/17.31 tff(25550,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v141(constB83))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB83) | (~v9(constB83)) | v141(constB83))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25551,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB83) | (~v9(constB83)) | v141(constB83))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25552,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB83) | (~v9(constB83)) | v141(constB83)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25551, 25550])).
% 25.99/17.31 tff(25553,plain,
% 25.99/17.31 ((~v9(constB83)) | v141(constB83)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25552, 3083, 9636])).
% 25.99/17.31 tff(25554,plain,
% 25.99/17.31 (v141(constB83)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25553, 25549])).
% 25.99/17.31 tff(25555,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB83)) | v140(constB83))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB83)) | v140(constB83))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25556,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB83)) | v140(constB83))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25557,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB83)) | v140(constB83)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25556, 25555])).
% 25.99/17.31 tff(25558,plain,
% 25.99/17.31 (v140(constB83)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25557, 24165, 25554])).
% 25.99/17.31 tff(25559,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB83)) | (~v140(constB83)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB83)) | (~v140(constB83)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25560,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB83)) | (~v140(constB83)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25561,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB83)) | (~v140(constB83))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25560, 25559])).
% 25.99/17.31 tff(25562,plain,
% 25.99/17.31 (~v138(constB83)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25561, 24221, 25558])).
% 25.99/17.31 tff(25563,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB83) | v142(constB83) | (~v135(constB83)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB83) | v142(constB83) | (~v135(constB83)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25564,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB83) | v142(constB83) | (~v135(constB83)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25565,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB83) | v142(constB83) | (~v135(constB83))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25564, 25563])).
% 25.99/17.31 tff(25566,plain,
% 25.99/17.31 (v142(constB83) | (~v135(constB83))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25565, 24247, 25562])).
% 25.99/17.31 tff(25567,plain,
% 25.99/17.31 (~v135(constB83)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25566, 25527])).
% 25.99/17.31 tff(25568,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25569,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25570,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB83, constB84)) | v135(constB83) | (~v137(constB84))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25569, 25568])).
% 25.99/17.31 tff(25571,plain,
% 25.99/17.31 (v135(constB83) | (~v137(constB84))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25570, 24262, 9759])).
% 25.99/17.31 tff(25572,plain,
% 25.99/17.31 (~v137(constB84)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25571, 25567])).
% 25.99/17.31 tff(25573,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB84) | (~v138(constB84)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB84) | (~v138(constB84)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25574,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB84) | (~v138(constB84)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25575,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB84) | (~v138(constB84))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25574, 25573])).
% 25.99/17.31 tff(25576,plain,
% 25.99/17.31 (~v138(constB84)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25575, 24277, 25572])).
% 25.99/17.31 tff(25577,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB84)) | (~v141(constB84)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB84)) | (~v141(constB84)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25578,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB84)) | (~v141(constB84)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25579,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB84)) | (~v141(constB84))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25578, 25577])).
% 25.99/17.31 tff(25580,plain,
% 25.99/17.31 (~v141(constB84)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25579, 24291, 9779])).
% 25.99/17.31 tff(25581,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB84) | (~v144(constB84)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB84) | (~v144(constB84)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25582,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB84) | (~v144(constB84)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25583,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB84) | (~v144(constB84))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25582, 25581])).
% 25.99/17.31 tff(25584,plain,
% 25.99/17.31 (~v144(constB84)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25583, 24305, 25580])).
% 25.99/17.31 tff(25585,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB84) | (~v142(constB84)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB84) | (~v142(constB84)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25586,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB84) | (~v142(constB84)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25587,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB84) | (~v142(constB84))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25586, 25585])).
% 25.99/17.31 tff(25588,plain,
% 25.99/17.31 (~v142(constB84)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25587, 2985, 25584])).
% 25.99/17.31 tff(25589,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB84) | v142(constB84) | (~v135(constB84)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB84) | v142(constB84) | (~v135(constB84)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25590,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB84) | v142(constB84) | (~v135(constB84)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25591,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB84) | v142(constB84) | (~v135(constB84))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25590, 25589])).
% 25.99/17.31 tff(25592,plain,
% 25.99/17.31 (v138(constB84) | (~v135(constB84))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25591, 24247, 25588])).
% 25.99/17.31 tff(25593,plain,
% 25.99/17.31 (~v135(constB84)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25592, 25576])).
% 25.99/17.31 tff(25594,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25595,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25596,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB84, constB85)) | v135(constB84) | (~v137(constB85))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25595, 25594])).
% 25.99/17.31 tff(25597,plain,
% 25.99/17.31 (v135(constB84) | (~v137(constB85))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25596, 24262, 9821])).
% 25.99/17.31 tff(25598,plain,
% 25.99/17.31 (~v137(constB85)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25597, 25593])).
% 25.99/17.31 tff(25599,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB85) | (~v153(constB85)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB85) | (~v153(constB85)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25600,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB85) | (~v153(constB85)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25601,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB85) | (~v153(constB85))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25600, 25599])).
% 25.99/17.31 tff(25602,plain,
% 25.99/17.31 (~v153(constB85)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25601, 24437, 25598])).
% 25.99/17.31 tff(25603,assumption,(v18(constB86)), introduced(assumption)).
% 25.99/17.31 tff(25604,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB86))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25605,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25604, 3012, 25603])).
% 25.99/17.31 tff(25606,plain,(~v18(constB86)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25607,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25608,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB86) | (~v1(constB86)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25609,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB86) | (~v1(constB86))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25608, 25607])).
% 25.99/17.31 tff(25610,plain,
% 25.99/17.31 (v22(constB86)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25609, 3028, 9954])).
% 25.99/17.31 tff(25611,plain,
% 25.99/17.31 (((~![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)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25612,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB86) | (~v22(constB86)) | (~v19(constB86)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25613,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB86) | (~v22(constB86)) | (~v19(constB86))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25612, 25611])).
% 25.99/17.31 tff(25614,plain,
% 25.99/17.31 (v18(constB86) | (~v19(constB86))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25613, 3042, 25610])).
% 25.99/17.31 tff(25615,plain,
% 25.99/17.31 (~v19(constB86)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25614, 25606])).
% 25.99/17.31 tff(25616,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25617,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB86) | v19(constB86))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25618,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB86) | v19(constB86)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25617, 25616])).
% 25.99/17.31 tff(25619,plain,
% 25.99/17.31 (v13(constB86)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25618, 3054, 25615])).
% 25.99/17.31 tff(25620,plain,
% 25.99/17.31 (((~![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)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25621,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25622,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB85) | (~v13(constB86)) | (~nextState(constB85, constB86))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25621, 25620])).
% 25.99/17.31 tff(25623,plain,
% 25.99/17.31 (v9(constB85) | (~v13(constB86))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25622, 3068, 9934])).
% 25.99/17.31 tff(25624,plain,
% 25.99/17.31 (v9(constB85)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25623, 25619])).
% 25.99/17.31 tff(25625,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v141(constB85))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB85) | (~v9(constB85)) | v141(constB85))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25626,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB85) | (~v9(constB85)) | v141(constB85))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25627,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB85) | (~v9(constB85)) | v141(constB85)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25626, 25625])).
% 25.99/17.31 tff(25628,plain,
% 25.99/17.31 ((~v9(constB85)) | v141(constB85)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25627, 3083, 9818])).
% 25.99/17.31 tff(25629,plain,
% 25.99/17.31 (v141(constB85)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25628, 25624])).
% 25.99/17.31 tff(25630,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB85)) | v140(constB85))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB85)) | v140(constB85))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25631,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB85)) | v140(constB85))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25632,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB85)) | v140(constB85)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25631, 25630])).
% 25.99/17.31 tff(25633,plain,
% 25.99/17.31 (v140(constB85)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25632, 24165, 25629])).
% 25.99/17.31 tff(25634,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB85)) | (~v155(constB85)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB85)) | (~v155(constB85)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25635,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB85)) | (~v155(constB85)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25636,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB85)) | (~v155(constB85))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25635, 25634])).
% 25.99/17.31 tff(25637,plain,
% 25.99/17.31 (~v155(constB85)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25636, 24482, 25633])).
% 25.99/17.31 tff(25638,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB85) | v155(constB85) | (~v150(constB85)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB85) | v155(constB85) | (~v150(constB85)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25639,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB85) | v155(constB85) | (~v150(constB85)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25640,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB85) | v155(constB85) | (~v150(constB85))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25639, 25638])).
% 25.99/17.31 tff(25641,plain,
% 25.99/17.31 (v153(constB85) | (~v150(constB85))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25640, 24496, 25637])).
% 25.99/17.31 tff(25642,plain,
% 25.99/17.31 (~v150(constB85)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25641, 25602])).
% 25.99/17.31 tff(25643,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25644,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25645,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB85, constB86)) | v150(constB85) | (~v152(constB86))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25644, 25643])).
% 25.99/17.31 tff(25646,plain,
% 25.99/17.31 (v150(constB85) | (~v152(constB86))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25645, 24511, 9934])).
% 25.99/17.31 tff(25647,plain,
% 25.99/17.31 (~v152(constB86)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25646, 25642])).
% 25.99/17.31 tff(25648,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB86) | (~v155(constB86)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB86) | (~v155(constB86)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25649,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB86) | (~v155(constB86)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25650,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB86) | (~v155(constB86))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25649, 25648])).
% 25.99/17.31 tff(25651,plain,
% 25.99/17.31 (~v155(constB86)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25650, 24526, 25647])).
% 25.99/17.31 tff(25652,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB86)) | (~v141(constB86)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB86)) | (~v141(constB86)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25653,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB86)) | (~v141(constB86)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25654,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB86)) | (~v141(constB86))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25653, 25652])).
% 25.99/17.31 tff(25655,plain,
% 25.99/17.31 (~v141(constB86)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25654, 24291, 9954])).
% 25.99/17.31 tff(25656,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB86) | (~v154(constB86)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB86) | (~v154(constB86)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25657,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB86) | (~v154(constB86)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25658,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB86) | (~v154(constB86))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 25.99/17.31 tff(25659,plain,
% 25.99/17.31 (~v154(constB86)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25658, 24544, 25655])).
% 25.99/17.31 tff(25660,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB86) | (~v153(constB86)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB86) | (~v153(constB86)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25661,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB86) | (~v153(constB86)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25662,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB86) | (~v153(constB86))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25661, 25660])).
% 25.99/17.31 tff(25663,plain,
% 25.99/17.31 (~v153(constB86)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25662, 24558, 25659])).
% 25.99/17.31 tff(25664,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB86) | v155(constB86) | (~v150(constB86)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB86) | v155(constB86) | (~v150(constB86)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25665,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB86) | v155(constB86) | (~v150(constB86)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25666,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB86) | v155(constB86) | (~v150(constB86))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25665, 25664])).
% 25.99/17.31 tff(25667,plain,
% 25.99/17.31 (v155(constB86) | (~v150(constB86))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25666, 24496, 25663])).
% 25.99/17.31 tff(25668,plain,
% 25.99/17.31 (~v150(constB86)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25667, 25651])).
% 25.99/17.31 tff(25669,plain,
% 25.99/17.31 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25670,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25671,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB86, constB87)) | v150(constB86) | (~v152(constB87))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25670, 25669])).
% 25.99/17.31 tff(25672,plain,
% 25.99/17.31 (v150(constB86) | (~v152(constB87))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25671, 24511, 10023])).
% 25.99/17.31 tff(25673,plain,
% 25.99/17.31 (~v152(constB87)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25672, 25668])).
% 25.99/17.31 tff(25674,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB87) | (~v164(constB87)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB87) | (~v164(constB87)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25675,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB87) | (~v164(constB87)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25676,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB87) | (~v164(constB87))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25675, 25674])).
% 25.99/17.31 tff(25677,plain,
% 25.99/17.31 (~v164(constB87)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25676, 24674, 25673])).
% 25.99/17.31 tff(25678,assumption,(v18(constB88)), introduced(assumption)).
% 25.99/17.31 tff(25679,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB88))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25680,plain,
% 25.99/17.31 ($false),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25679, 3012, 25678])).
% 25.99/17.31 tff(25681,plain,(~v18(constB88)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.31 tff(25682,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25683,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB88) | (~v1(constB88)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25684,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB88) | (~v1(constB88))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25683, 25682])).
% 25.99/17.31 tff(25685,plain,
% 25.99/17.31 (v22(constB88)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25684, 3028, 10240])).
% 25.99/17.31 tff(25686,plain,
% 25.99/17.31 (((~![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)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25687,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB88) | (~v22(constB88)) | (~v19(constB88)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25688,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB88) | (~v22(constB88)) | (~v19(constB88))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25687, 25686])).
% 25.99/17.31 tff(25689,plain,
% 25.99/17.31 (v18(constB88) | (~v19(constB88))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25688, 3042, 25685])).
% 25.99/17.31 tff(25690,plain,
% 25.99/17.31 (~v19(constB88)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25689, 25681])).
% 25.99/17.31 tff(25691,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25692,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB88) | v19(constB88))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25693,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB88) | v19(constB88)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25692, 25691])).
% 25.99/17.31 tff(25694,plain,
% 25.99/17.31 (v13(constB88)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25693, 3054, 25690])).
% 25.99/17.31 tff(25695,plain,
% 25.99/17.31 (((~![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)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25696,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88)))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25697,plain,
% 25.99/17.31 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB87) | (~v13(constB88)) | (~nextState(constB87, constB88))),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25696, 25695])).
% 25.99/17.31 tff(25698,plain,
% 25.99/17.31 (v9(constB87) | (~v13(constB88))),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25697, 3068, 10220])).
% 25.99/17.31 tff(25699,plain,
% 25.99/17.31 (v9(constB87)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25698, 25694])).
% 25.99/17.31 tff(25700,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v141(constB87))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB87) | (~v9(constB87)) | v141(constB87))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25701,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB87) | (~v9(constB87)) | v141(constB87))),
% 25.99/17.31 inference(quant_inst,[status(thm)],[])).
% 25.99/17.31 tff(25702,plain,
% 25.99/17.31 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB87) | (~v9(constB87)) | v141(constB87)),
% 25.99/17.31 inference(modus_ponens,[status(thm)],[25701, 25700])).
% 25.99/17.31 tff(25703,plain,
% 25.99/17.31 ((~v9(constB87)) | v141(constB87)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25702, 3083, 10020])).
% 25.99/17.31 tff(25704,plain,
% 25.99/17.31 (v141(constB87)),
% 25.99/17.31 inference(unit_resolution,[status(thm)],[25703, 25699])).
% 25.99/17.31 tff(25705,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB87) | (~v141(constB87)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB87) | (~v141(constB87)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25706,plain,
% 25.99/17.31 (((~v141(constB87)) | v140(constB87)) <=> (v140(constB87) | (~v141(constB87)))),
% 25.99/17.31 inference(rewrite,[status(thm)],[])).
% 25.99/17.31 tff(25707,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB87)) | v140(constB87))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB87) | (~v141(constB87))))),
% 25.99/17.31 inference(monotonicity,[status(thm)],[25706])).
% 25.99/17.31 tff(25708,plain,
% 25.99/17.31 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB87)) | v140(constB87))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB87) | (~v141(constB87)))),
% 25.99/17.31 inference(transitivity,[status(thm)],[25707, 25705])).
% 25.99/17.32 tff(25709,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB87)) | v140(constB87))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25710,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB87) | (~v141(constB87))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25709, 25708])).
% 25.99/17.32 tff(25711,plain,
% 25.99/17.32 (v140(constB87)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25710, 24165, 25704])).
% 25.99/17.32 tff(25712,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB87)) | (~v163(constB87)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB87)) | (~v163(constB87)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25713,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB87)) | (~v163(constB87)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25714,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB87)) | (~v163(constB87))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25713, 25712])).
% 25.99/17.32 tff(25715,plain,
% 25.99/17.32 (~v163(constB87)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25714, 24179, 25711])).
% 25.99/17.32 tff(25716,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB87) | v164(constB87) | (~v160(constB87)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB87) | v164(constB87) | (~v160(constB87)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25717,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB87) | v164(constB87) | (~v160(constB87)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25718,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB87) | v164(constB87) | (~v160(constB87))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25717, 25716])).
% 25.99/17.32 tff(25719,plain,
% 25.99/17.32 (v164(constB87) | (~v160(constB87))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25718, 24688, 25715])).
% 25.99/17.32 tff(25720,plain,
% 25.99/17.32 (~v160(constB87)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25719, 25677])).
% 25.99/17.32 tff(25721,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25722,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25723,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB87, constB88)) | v160(constB87) | (~v162(constB88))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25722, 25721])).
% 25.99/17.32 tff(25724,plain,
% 25.99/17.32 (v160(constB87) | (~v162(constB88))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25723, 24703, 10220])).
% 25.99/17.32 tff(25725,plain,
% 25.99/17.32 (~v162(constB88)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25724, 25720])).
% 25.99/17.32 tff(25726,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB88) | (~v163(constB88)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB88) | (~v163(constB88)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25727,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB88) | (~v163(constB88)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25728,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB88) | (~v163(constB88))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25727, 25726])).
% 25.99/17.32 tff(25729,plain,
% 25.99/17.32 (~v163(constB88)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25728, 24718, 25725])).
% 25.99/17.32 tff(25730,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB88)) | (~v141(constB88)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB88)) | (~v141(constB88)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25731,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB88)) | (~v141(constB88)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25732,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB88)) | (~v141(constB88))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25731, 25730])).
% 25.99/17.32 tff(25733,plain,
% 25.99/17.32 (~v141(constB88)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25732, 24291, 10240])).
% 25.99/17.32 tff(25734,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB88) | (~v154(constB88)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB88) | (~v154(constB88)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25735,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB88) | (~v154(constB88)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25736,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB88) | (~v154(constB88))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25735, 25734])).
% 25.99/17.32 tff(25737,plain,
% 25.99/17.32 (~v154(constB88)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25736, 24544, 25733])).
% 25.99/17.32 tff(25738,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB88) | (~v164(constB88)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB88) | (~v164(constB88)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25739,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB88) | (~v164(constB88)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25740,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB88) | (~v164(constB88))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25739, 25738])).
% 25.99/17.32 tff(25741,plain,
% 25.99/17.32 (~v164(constB88)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25740, 24740, 25737])).
% 25.99/17.32 tff(25742,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB88) | v164(constB88) | (~v160(constB88)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB88) | v164(constB88) | (~v160(constB88)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25743,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB88) | v164(constB88) | (~v160(constB88)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25744,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB88) | v164(constB88) | (~v160(constB88))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25743, 25742])).
% 25.99/17.32 tff(25745,plain,
% 25.99/17.32 (v163(constB88) | (~v160(constB88))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25744, 24688, 25741])).
% 25.99/17.32 tff(25746,plain,
% 25.99/17.32 (~v160(constB88)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25745, 25729])).
% 25.99/17.32 tff(25747,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25748,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25749,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB88, constB89)) | v160(constB88) | (~v162(constB89))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25748, 25747])).
% 25.99/17.32 tff(25750,plain,
% 25.99/17.32 (v160(constB88) | (~v162(constB89))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25749, 24703, 10282])).
% 25.99/17.32 tff(25751,plain,
% 25.99/17.32 (~v162(constB89)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25750, 25746])).
% 25.99/17.32 tff(25752,plain,
% 25.99/17.32 ($false),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25751, 25515])).
% 25.99/17.32 tff(25753,plain,(~(constB89 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.32 tff(25754,assumption,(constB35 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.32 tff(25755,plain,
% 25.99/17.32 (v162(constB35) <=> v162(sK0_VarCurr)),
% 25.99/17.32 inference(monotonicity,[status(thm)],[25754])).
% 25.99/17.32 tff(25756,plain,
% 25.99/17.32 (v162(sK0_VarCurr) <=> v162(constB35)),
% 25.99/17.32 inference(symmetry,[status(thm)],[25755])).
% 25.99/17.32 tff(25757,plain,
% 25.99/17.32 (v162(constB35)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[24130, 25756])).
% 25.99/17.32 tff(25758,assumption,(v18(constB34)), introduced(assumption)).
% 25.99/17.32 tff(25759,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB34))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25760,plain,
% 25.99/17.32 ($false),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25759, 3012, 25758])).
% 25.99/17.32 tff(25761,plain,(~v18(constB34)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.32 tff(25762,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB34) | (~v1(constB34)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB34) | (~v1(constB34)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25763,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB34) | (~v1(constB34)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25764,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB34) | (~v1(constB34))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25763, 25762])).
% 25.99/17.32 tff(25765,plain,
% 25.99/17.32 (v22(constB34)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25764, 3028, 4370])).
% 25.99/17.32 tff(25766,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB34) | (~v22(constB34)) | (~v19(constB34)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB34) | (~v22(constB34)) | (~v19(constB34)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25767,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB34) | (~v22(constB34)) | (~v19(constB34)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25768,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB34) | (~v22(constB34)) | (~v19(constB34))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25767, 25766])).
% 25.99/17.32 tff(25769,plain,
% 25.99/17.32 (v18(constB34) | (~v19(constB34))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25768, 3042, 25765])).
% 25.99/17.32 tff(25770,plain,
% 25.99/17.32 (~v19(constB34)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25769, 25761])).
% 25.99/17.32 tff(25771,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB34) | v19(constB34))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB34) | v19(constB34))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25772,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB34) | v19(constB34))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25773,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB34) | v19(constB34)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25772, 25771])).
% 25.99/17.32 tff(25774,plain,
% 25.99/17.32 (v13(constB34)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25773, 3054, 25770])).
% 25.99/17.32 tff(25775,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25776,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25777,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB33) | (~v13(constB34)) | (~nextState(constB33, constB34))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25776, 25775])).
% 25.99/17.32 tff(25778,plain,
% 25.99/17.32 (v9(constB33) | (~v13(constB34))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25777, 3068, 4350])).
% 25.99/17.32 tff(25779,plain,
% 25.99/17.32 (v9(constB33)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25778, 25774])).
% 25.99/17.32 tff(25780,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB33) | (~v9(constB33)) | v141(constB33))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB33) | (~v9(constB33)) | v141(constB33))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25781,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB33) | (~v9(constB33)) | v141(constB33))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25782,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB33) | (~v9(constB33)) | v141(constB33)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25781, 25780])).
% 25.99/17.32 tff(25783,plain,
% 25.99/17.32 ((~v9(constB33)) | v141(constB33)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25782, 3083, 4217])).
% 25.99/17.32 tff(25784,plain,
% 25.99/17.32 (v141(constB33)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25783, 25779])).
% 25.99/17.32 tff(25785,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB33) | (~v141(constB33)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB33) | (~v141(constB33)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25786,plain,
% 25.99/17.32 (((~v141(constB33)) | v140(constB33)) <=> (v140(constB33) | (~v141(constB33)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25787,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB33)) | v140(constB33))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB33) | (~v141(constB33))))),
% 25.99/17.32 inference(monotonicity,[status(thm)],[25786])).
% 25.99/17.32 tff(25788,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB33)) | v140(constB33))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB33) | (~v141(constB33)))),
% 25.99/17.32 inference(transitivity,[status(thm)],[25787, 25785])).
% 25.99/17.32 tff(25789,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB33)) | v140(constB33))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25790,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB33) | (~v141(constB33))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25789, 25788])).
% 25.99/17.32 tff(25791,plain,
% 25.99/17.32 (v140(constB33)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25790, 24165, 25784])).
% 25.99/17.32 tff(25792,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB33)) | (~v163(constB33)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB33)) | (~v163(constB33)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25793,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB33)) | (~v163(constB33)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25794,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB33)) | (~v163(constB33))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25793, 25792])).
% 25.99/17.32 tff(25795,plain,
% 25.99/17.32 (~v163(constB33)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25794, 24179, 25791])).
% 25.99/17.32 tff(25796,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB29)) | (~v84(constB29, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB29)) | (~v84(constB29, bitIndex1)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25797,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB29)) | (~v84(constB29, bitIndex1)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25798,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB29)) | (~v84(constB29, bitIndex1))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25797, 25796])).
% 25.99/17.32 tff(25799,plain,
% 25.99/17.32 (~v145(constB29)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25798, 2018, 3877])).
% 25.99/17.32 tff(25800,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB29) | (~v144(constB29)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB29) | (~v144(constB29)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25801,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB29) | (~v144(constB29)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25802,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB29) | (~v144(constB29))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25801, 25800])).
% 25.99/17.32 tff(25803,plain,
% 25.99/17.32 (~v144(constB29)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25802, 2971, 25799])).
% 25.99/17.32 tff(25804,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB29) | (~v142(constB29)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB29) | (~v142(constB29)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25805,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB29) | (~v142(constB29)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25806,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB29) | (~v142(constB29))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25805, 25804])).
% 25.99/17.32 tff(25807,plain,
% 25.99/17.32 (~v142(constB29)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25806, 2985, 25803])).
% 25.99/17.32 tff(25808,assumption,(v18(constB30)), introduced(assumption)).
% 25.99/17.32 tff(25809,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB30))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25810,plain,
% 25.99/17.32 ($false),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25809, 3012, 25808])).
% 25.99/17.32 tff(25811,plain,(~v18(constB30)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.32 tff(25812,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25813,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB30) | (~v1(constB30)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25814,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB30) | (~v1(constB30))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25813, 25812])).
% 25.99/17.32 tff(25815,plain,
% 25.99/17.32 (v22(constB30)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25814, 3028, 3982])).
% 25.99/17.32 tff(25816,plain,
% 25.99/17.32 (((~![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)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25817,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB30) | (~v22(constB30)) | (~v19(constB30)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25818,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB30) | (~v22(constB30)) | (~v19(constB30))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25817, 25816])).
% 25.99/17.32 tff(25819,plain,
% 25.99/17.32 (v18(constB30) | (~v19(constB30))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25818, 3042, 25815])).
% 25.99/17.32 tff(25820,plain,
% 25.99/17.32 (~v19(constB30)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25819, 25811])).
% 25.99/17.32 tff(25821,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25822,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB30) | v19(constB30))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25823,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB30) | v19(constB30)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25822, 25821])).
% 25.99/17.32 tff(25824,plain,
% 25.99/17.32 (v13(constB30)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25823, 3054, 25820])).
% 25.99/17.32 tff(25825,plain,
% 25.99/17.32 (((~![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)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25826,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25827,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB29) | (~v13(constB30)) | (~nextState(constB29, constB30))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25826, 25825])).
% 25.99/17.32 tff(25828,plain,
% 25.99/17.32 (v9(constB29) | (~v13(constB30))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25827, 3068, 3962])).
% 25.99/17.32 tff(25829,plain,
% 25.99/17.32 (v9(constB29)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25828, 25824])).
% 25.99/17.32 tff(25830,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v141(constB29))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB29) | (~v9(constB29)) | v141(constB29))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25831,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB29) | (~v9(constB29)) | v141(constB29))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25832,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB29) | (~v9(constB29)) | v141(constB29)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25831, 25830])).
% 25.99/17.32 tff(25833,plain,
% 25.99/17.32 ((~v9(constB29)) | v141(constB29)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25832, 3083, 3822])).
% 25.99/17.32 tff(25834,plain,
% 25.99/17.32 (v141(constB29)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25833, 25829])).
% 25.99/17.32 tff(25835,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB29)) | v140(constB29))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB29)) | v140(constB29))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25836,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB29)) | v140(constB29))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25837,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB29)) | v140(constB29)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25836, 25835])).
% 25.99/17.32 tff(25838,plain,
% 25.99/17.32 (v140(constB29)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25837, 24165, 25834])).
% 25.99/17.32 tff(25839,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB29)) | (~v140(constB29)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB29)) | (~v140(constB29)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25840,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB29)) | (~v140(constB29)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25841,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB29)) | (~v140(constB29))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25840, 25839])).
% 25.99/17.32 tff(25842,plain,
% 25.99/17.32 (~v138(constB29)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25841, 24221, 25838])).
% 25.99/17.32 tff(25843,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB29) | v142(constB29) | (~v135(constB29)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB29) | v142(constB29) | (~v135(constB29)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25844,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB29) | v142(constB29) | (~v135(constB29)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25845,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB29) | v142(constB29) | (~v135(constB29))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25844, 25843])).
% 25.99/17.32 tff(25846,plain,
% 25.99/17.32 (v142(constB29) | (~v135(constB29))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25845, 24247, 25842])).
% 25.99/17.32 tff(25847,plain,
% 25.99/17.32 (~v135(constB29)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25846, 25807])).
% 25.99/17.32 tff(25848,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25849,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25850,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB29, constB30)) | v135(constB29) | (~v137(constB30))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25849, 25848])).
% 25.99/17.32 tff(25851,plain,
% 25.99/17.32 (v135(constB29) | (~v137(constB30))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25850, 24262, 3962])).
% 25.99/17.32 tff(25852,plain,
% 25.99/17.32 (~v137(constB30)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25851, 25847])).
% 25.99/17.32 tff(25853,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB30) | (~v138(constB30)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB30) | (~v138(constB30)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25854,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB30) | (~v138(constB30)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25855,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB30) | (~v138(constB30))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25854, 25853])).
% 25.99/17.32 tff(25856,plain,
% 25.99/17.32 (~v138(constB30)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25855, 24277, 25852])).
% 25.99/17.32 tff(25857,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB30)) | (~v141(constB30)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB30)) | (~v141(constB30)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25858,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB30)) | (~v141(constB30)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25859,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB30)) | (~v141(constB30))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25858, 25857])).
% 25.99/17.32 tff(25860,plain,
% 25.99/17.32 (~v141(constB30)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25859, 24291, 3982])).
% 25.99/17.32 tff(25861,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB30) | (~v144(constB30)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB30) | (~v144(constB30)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25862,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB30) | (~v144(constB30)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25863,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB30) | (~v144(constB30))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25862, 25861])).
% 25.99/17.32 tff(25864,plain,
% 25.99/17.32 (~v144(constB30)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25863, 24305, 25860])).
% 25.99/17.32 tff(25865,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB30) | (~v142(constB30)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB30) | (~v142(constB30)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25866,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB30) | (~v142(constB30)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25867,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB30) | (~v142(constB30))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25866, 25865])).
% 25.99/17.32 tff(25868,plain,
% 25.99/17.32 (~v142(constB30)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25867, 2985, 25864])).
% 25.99/17.32 tff(25869,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB30) | v142(constB30) | (~v135(constB30)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB30) | v142(constB30) | (~v135(constB30)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25870,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB30) | v142(constB30) | (~v135(constB30)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25871,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB30) | v142(constB30) | (~v135(constB30))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25870, 25869])).
% 25.99/17.32 tff(25872,plain,
% 25.99/17.32 (v138(constB30) | (~v135(constB30))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25871, 24247, 25868])).
% 25.99/17.32 tff(25873,plain,
% 25.99/17.32 (~v135(constB30)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25872, 25856])).
% 25.99/17.32 tff(25874,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25875,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25876,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB30, constB31)) | v135(constB30) | (~v137(constB31))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25875, 25874])).
% 25.99/17.32 tff(25877,plain,
% 25.99/17.32 (v135(constB30) | (~v137(constB31))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25876, 24262, 4030])).
% 25.99/17.32 tff(25878,plain,
% 25.99/17.32 (~v137(constB31)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25877, 25873])).
% 25.99/17.32 tff(25879,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB31) | (~v153(constB31)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB31) | (~v153(constB31)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25880,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB31) | (~v153(constB31)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25881,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB31) | (~v153(constB31))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25880, 25879])).
% 25.99/17.32 tff(25882,plain,
% 25.99/17.32 (~v153(constB31)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25881, 24437, 25878])).
% 25.99/17.32 tff(25883,assumption,(v18(constB32)), introduced(assumption)).
% 25.99/17.32 tff(25884,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB32))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25885,plain,
% 25.99/17.32 ($false),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25884, 3012, 25883])).
% 25.99/17.32 tff(25886,plain,(~v18(constB32)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.32 tff(25887,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25888,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB32) | (~v1(constB32)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25889,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB32) | (~v1(constB32))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25888, 25887])).
% 25.99/17.32 tff(25890,plain,
% 25.99/17.32 (v22(constB32)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25889, 3028, 4178])).
% 25.99/17.32 tff(25891,plain,
% 25.99/17.32 (((~![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)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25892,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB32) | (~v22(constB32)) | (~v19(constB32)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25893,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB32) | (~v22(constB32)) | (~v19(constB32))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25892, 25891])).
% 25.99/17.32 tff(25894,plain,
% 25.99/17.32 (v18(constB32) | (~v19(constB32))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25893, 3042, 25890])).
% 25.99/17.32 tff(25895,plain,
% 25.99/17.32 (~v19(constB32)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25894, 25886])).
% 25.99/17.32 tff(25896,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25897,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB32) | v19(constB32))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25898,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB32) | v19(constB32)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25897, 25896])).
% 25.99/17.32 tff(25899,plain,
% 25.99/17.32 (v13(constB32)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25898, 3054, 25895])).
% 25.99/17.32 tff(25900,plain,
% 25.99/17.32 (((~![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)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25901,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25902,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB31) | (~v13(constB32)) | (~nextState(constB31, constB32))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25901, 25900])).
% 25.99/17.32 tff(25903,plain,
% 25.99/17.32 (v9(constB31) | (~v13(constB32))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25902, 3068, 4158])).
% 25.99/17.32 tff(25904,plain,
% 25.99/17.32 (v9(constB31)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25903, 25899])).
% 25.99/17.32 tff(25905,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v141(constB31))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB31) | (~v9(constB31)) | v141(constB31))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25906,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB31) | (~v9(constB31)) | v141(constB31))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25907,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB31) | (~v9(constB31)) | v141(constB31)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25906, 25905])).
% 25.99/17.32 tff(25908,plain,
% 25.99/17.32 ((~v9(constB31)) | v141(constB31)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25907, 3083, 4027])).
% 25.99/17.32 tff(25909,plain,
% 25.99/17.32 (v141(constB31)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25908, 25904])).
% 25.99/17.32 tff(25910,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB31)) | v140(constB31))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB31)) | v140(constB31))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25911,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB31)) | v140(constB31))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25912,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB31)) | v140(constB31)),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25911, 25910])).
% 25.99/17.32 tff(25913,plain,
% 25.99/17.32 (v140(constB31)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25912, 24165, 25909])).
% 25.99/17.32 tff(25914,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB31)) | (~v155(constB31)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB31)) | (~v155(constB31)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25915,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB31)) | (~v155(constB31)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25916,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB31)) | (~v155(constB31))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25915, 25914])).
% 25.99/17.32 tff(25917,plain,
% 25.99/17.32 (~v155(constB31)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25916, 24482, 25913])).
% 25.99/17.32 tff(25918,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB31) | v155(constB31) | (~v150(constB31)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB31) | v155(constB31) | (~v150(constB31)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25919,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB31) | v155(constB31) | (~v150(constB31)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25920,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB31) | v155(constB31) | (~v150(constB31))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25919, 25918])).
% 25.99/17.32 tff(25921,plain,
% 25.99/17.32 (v153(constB31) | (~v150(constB31))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25920, 24496, 25917])).
% 25.99/17.32 tff(25922,plain,
% 25.99/17.32 (~v150(constB31)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25921, 25882])).
% 25.99/17.32 tff(25923,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25924,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25925,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB31, constB32)) | v150(constB31) | (~v152(constB32))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25924, 25923])).
% 25.99/17.32 tff(25926,plain,
% 25.99/17.32 (v150(constB31) | (~v152(constB32))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25925, 24511, 4158])).
% 25.99/17.32 tff(25927,plain,
% 25.99/17.32 (~v152(constB32)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25926, 25922])).
% 25.99/17.32 tff(25928,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB32) | (~v155(constB32)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB32) | (~v155(constB32)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25929,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB32) | (~v155(constB32)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25930,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB32) | (~v155(constB32))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25929, 25928])).
% 25.99/17.32 tff(25931,plain,
% 25.99/17.32 (~v155(constB32)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25930, 24526, 25927])).
% 25.99/17.32 tff(25932,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB32)) | (~v141(constB32)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB32)) | (~v141(constB32)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25933,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB32)) | (~v141(constB32)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25934,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB32)) | (~v141(constB32))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25933, 25932])).
% 25.99/17.32 tff(25935,plain,
% 25.99/17.32 (~v141(constB32)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25934, 24291, 4178])).
% 25.99/17.32 tff(25936,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB32) | (~v154(constB32)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB32) | (~v154(constB32)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25937,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB32) | (~v154(constB32)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25938,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB32) | (~v154(constB32))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25937, 25936])).
% 25.99/17.32 tff(25939,plain,
% 25.99/17.32 (~v154(constB32)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25938, 24544, 25935])).
% 25.99/17.32 tff(25940,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB32) | (~v153(constB32)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB32) | (~v153(constB32)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25941,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB32) | (~v153(constB32)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25942,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB32) | (~v153(constB32))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25941, 25940])).
% 25.99/17.32 tff(25943,plain,
% 25.99/17.32 (~v153(constB32)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25942, 24558, 25939])).
% 25.99/17.32 tff(25944,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB32) | v155(constB32) | (~v150(constB32)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB32) | v155(constB32) | (~v150(constB32)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25945,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB32) | v155(constB32) | (~v150(constB32)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25946,plain,
% 25.99/17.32 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB32) | v155(constB32) | (~v150(constB32))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25945, 25944])).
% 25.99/17.32 tff(25947,plain,
% 25.99/17.32 (v155(constB32) | (~v150(constB32))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25946, 24496, 25943])).
% 25.99/17.32 tff(25948,plain,
% 25.99/17.32 (~v150(constB32)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25947, 25931])).
% 25.99/17.32 tff(25949,plain,
% 25.99/17.32 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33)))),
% 25.99/17.32 inference(rewrite,[status(thm)],[])).
% 25.99/17.32 tff(25950,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33)))),
% 25.99/17.32 inference(quant_inst,[status(thm)],[])).
% 25.99/17.32 tff(25951,plain,
% 25.99/17.32 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB32, constB33)) | v150(constB32) | (~v152(constB33))),
% 25.99/17.32 inference(modus_ponens,[status(thm)],[25950, 25949])).
% 25.99/17.32 tff(25952,plain,
% 25.99/17.32 (v150(constB32) | (~v152(constB33))),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25951, 24511, 4220])).
% 25.99/17.32 tff(25953,plain,
% 25.99/17.32 (~v152(constB33)),
% 25.99/17.32 inference(unit_resolution,[status(thm)],[25952, 25948])).
% 25.99/17.32 tff(25954,plain,
% 25.99/17.32 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB33) | (~v164(constB33)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB33) | (~v164(constB33)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(25955,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB33) | (~v164(constB33)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(25956,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB33) | (~v164(constB33))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[25955, 25954])).
% 25.99/17.33 tff(25957,plain,
% 25.99/17.33 (~v164(constB33)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25956, 24674, 25953])).
% 25.99/17.33 tff(25958,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB33) | v164(constB33) | (~v160(constB33)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB33) | v164(constB33) | (~v160(constB33)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(25959,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB33) | v164(constB33) | (~v160(constB33)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(25960,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB33) | v164(constB33) | (~v160(constB33))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[25959, 25958])).
% 25.99/17.33 tff(25961,plain,
% 25.99/17.33 (v163(constB33) | (~v160(constB33))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25960, 24688, 25957])).
% 25.99/17.33 tff(25962,plain,
% 25.99/17.33 (~v160(constB33)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25961, 25795])).
% 25.99/17.33 tff(25963,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(25964,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(25965,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB33, constB34)) | v160(constB33) | (~v162(constB34))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[25964, 25963])).
% 25.99/17.33 tff(25966,plain,
% 25.99/17.33 (v160(constB33) | (~v162(constB34))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25965, 24703, 4350])).
% 25.99/17.33 tff(25967,plain,
% 25.99/17.33 (~v162(constB34)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25966, 25962])).
% 25.99/17.33 tff(25968,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB34) | (~v163(constB34)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB34) | (~v163(constB34)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(25969,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB34) | (~v163(constB34)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(25970,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB34) | (~v163(constB34))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[25969, 25968])).
% 25.99/17.33 tff(25971,plain,
% 25.99/17.33 (~v163(constB34)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25970, 24718, 25967])).
% 25.99/17.33 tff(25972,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB34)) | (~v141(constB34)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB34)) | (~v141(constB34)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(25973,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB34)) | (~v141(constB34)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(25974,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB34)) | (~v141(constB34))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[25973, 25972])).
% 25.99/17.33 tff(25975,plain,
% 25.99/17.33 (~v141(constB34)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25974, 24291, 4370])).
% 25.99/17.33 tff(25976,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB34) | (~v154(constB34)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB34) | (~v154(constB34)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(25977,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB34) | (~v154(constB34)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(25978,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB34) | (~v154(constB34))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[25977, 25976])).
% 25.99/17.33 tff(25979,plain,
% 25.99/17.33 (~v154(constB34)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25978, 24544, 25975])).
% 25.99/17.33 tff(25980,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB34) | (~v164(constB34)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB34) | (~v164(constB34)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(25981,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB34) | (~v164(constB34)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(25982,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB34) | (~v164(constB34))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[25981, 25980])).
% 25.99/17.33 tff(25983,plain,
% 25.99/17.33 (~v164(constB34)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25982, 24740, 25979])).
% 25.99/17.33 tff(25984,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB34) | v164(constB34) | (~v160(constB34)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB34) | v164(constB34) | (~v160(constB34)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(25985,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB34) | v164(constB34) | (~v160(constB34)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(25986,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB34) | v164(constB34) | (~v160(constB34))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[25985, 25984])).
% 25.99/17.33 tff(25987,plain,
% 25.99/17.33 (v163(constB34) | (~v160(constB34))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25986, 24688, 25983])).
% 25.99/17.33 tff(25988,plain,
% 25.99/17.33 (~v160(constB34)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25987, 25971])).
% 25.99/17.33 tff(25989,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(25990,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(25991,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB34, constB35)) | v160(constB34) | (~v162(constB35))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[25990, 25989])).
% 25.99/17.33 tff(25992,plain,
% 25.99/17.33 (v160(constB34) | (~v162(constB35))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25991, 24703, 4412])).
% 25.99/17.33 tff(25993,plain,
% 25.99/17.33 (~v162(constB35)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25992, 25988])).
% 25.99/17.33 tff(25994,plain,
% 25.99/17.33 ($false),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[25993, 25757])).
% 25.99/17.33 tff(25995,plain,(~(constB35 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.33 tff(25996,assumption,(constB163 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.33 tff(25997,plain,
% 25.99/17.33 (v162(constB163) <=> v162(sK0_VarCurr)),
% 25.99/17.33 inference(monotonicity,[status(thm)],[25996])).
% 25.99/17.33 tff(25998,plain,
% 25.99/17.33 (v162(sK0_VarCurr) <=> v162(constB163)),
% 25.99/17.33 inference(symmetry,[status(thm)],[25997])).
% 25.99/17.33 tff(25999,plain,
% 25.99/17.33 (v162(constB163)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[24130, 25998])).
% 25.99/17.33 tff(26000,plain,
% 25.99/17.33 (v124(constB155, bitIndex1)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[19012, 1817, 18875])).
% 25.99/17.33 tff(26001,plain,
% 25.99/17.33 (v121(constB155, bitIndex1)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[19017, 26000])).
% 25.99/17.33 tff(26002,plain,
% 25.99/17.33 (v123(constB156, bitIndex1)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[19022, 26001])).
% 25.99/17.33 tff(26003,plain,
% 25.99/17.33 (v84(constB156, bitIndex1) | (~v94(constB156))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[19029, 842, 26002])).
% 25.99/17.33 tff(26004,plain,
% 25.99/17.33 (v84(constB156, bitIndex1)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26003, 18939])).
% 25.99/17.33 tff(26005,plain,
% 25.99/17.33 (v84(constB157, bitIndex1)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[19039, 26004])).
% 25.99/17.33 tff(26006,plain,
% 25.99/17.33 (~v145(constB157)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[19157, 2018, 26005])).
% 25.99/17.33 tff(26007,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB157) | (~v144(constB157)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB157) | (~v144(constB157)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26008,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB157) | (~v144(constB157)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26009,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB157) | (~v144(constB157))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26008, 26007])).
% 25.99/17.33 tff(26010,plain,
% 25.99/17.33 (~v144(constB157)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26009, 2971, 26006])).
% 25.99/17.33 tff(26011,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB157) | (~v142(constB157)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB157) | (~v142(constB157)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26012,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB157) | (~v142(constB157)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26013,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB157) | (~v142(constB157))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26012, 26011])).
% 25.99/17.33 tff(26014,plain,
% 25.99/17.33 (~v142(constB157)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26013, 2985, 26010])).
% 25.99/17.33 tff(26015,plain,
% 25.99/17.33 (v109(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18688, 1468, 18684])).
% 25.99/17.33 tff(26016,plain,
% 25.99/17.33 (v108(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18692, 235, 26015])).
% 25.99/17.33 tff(26017,plain,
% 25.99/17.33 (v107(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18699, 249, 26016])).
% 25.99/17.33 tff(26018,plain,
% 25.99/17.33 (v106(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18708, 26017])).
% 25.99/17.33 tff(26019,plain,
% 25.99/17.33 (v102(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18715, 275, 26018])).
% 25.99/17.33 tff(26020,plain,
% 25.99/17.33 (v104(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18726, 26019])).
% 25.99/17.33 tff(26021,plain,
% 25.99/17.33 (v94(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18752, 26020])).
% 25.99/17.33 tff(26022,plain,
% 25.99/17.33 (v124(constB153, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18756, 1539, 18684])).
% 25.99/17.33 tff(26023,plain,
% 25.99/17.33 (v121(constB153, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18761, 26022])).
% 25.99/17.33 tff(26024,plain,
% 25.99/17.33 (v123(constB154, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18766, 26023])).
% 25.99/17.33 tff(26025,plain,
% 25.99/17.33 (v84(constB154, bitIndex2) | (~v94(constB154))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18773, 1317, 26024])).
% 25.99/17.33 tff(26026,plain,
% 25.99/17.33 (v84(constB154, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26025, 26021])).
% 25.99/17.33 tff(26027,plain,
% 25.99/17.33 (v84(constB155, bitIndex2)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[18801, 26026])).
% 25.99/17.33 tff(26028,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB155)) | (~v84(constB155, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB155)) | (~v84(constB155, bitIndex2)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26029,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB155)) | (~v84(constB155, bitIndex2)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26030,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB155)) | (~v84(constB155, bitIndex2))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26029, 26028])).
% 25.99/17.33 tff(26031,plain,
% 25.99/17.33 (~v145(constB155)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26030, 16179, 26027])).
% 25.99/17.33 tff(26032,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB155) | (~v144(constB155)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB155) | (~v144(constB155)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26033,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB155) | (~v144(constB155)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26034,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB155) | (~v144(constB155))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26033, 26032])).
% 25.99/17.33 tff(26035,plain,
% 25.99/17.33 (~v144(constB155)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26034, 2971, 26031])).
% 25.99/17.33 tff(26036,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB155) | (~v142(constB155)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB155) | (~v142(constB155)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26037,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB155) | (~v142(constB155)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26038,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB155) | (~v142(constB155))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26037, 26036])).
% 25.99/17.33 tff(26039,plain,
% 25.99/17.33 (~v142(constB155)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26038, 2985, 26035])).
% 25.99/17.33 tff(26040,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB153)) | (~v84(constB153, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB153)) | (~v84(constB153, bitIndex2)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26041,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB153)) | (~v84(constB153, bitIndex2)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26042,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB153)) | (~v84(constB153, bitIndex2))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26041, 26040])).
% 25.99/17.33 tff(26043,plain,
% 25.99/17.33 (~v145(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26042, 16179, 18612])).
% 25.99/17.33 tff(26044,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB153) | (~v144(constB153)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB153) | (~v144(constB153)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26045,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB153) | (~v144(constB153)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26046,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB153) | (~v144(constB153))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26045, 26044])).
% 25.99/17.33 tff(26047,plain,
% 25.99/17.33 (~v144(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26046, 2971, 26043])).
% 25.99/17.33 tff(26048,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB153) | (~v142(constB153)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB153) | (~v142(constB153)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26049,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB153) | (~v142(constB153)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26050,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB153) | (~v142(constB153))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26049, 26048])).
% 25.99/17.33 tff(26051,plain,
% 25.99/17.33 (~v142(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26050, 2985, 26047])).
% 25.99/17.33 tff(26052,assumption,(v18(constB154)), introduced(assumption)).
% 25.99/17.33 tff(26053,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB154))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26054,plain,
% 25.99/17.33 ($false),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26053, 3012, 26052])).
% 25.99/17.33 tff(26055,plain,(~v18(constB154)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.33 tff(26056,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26057,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB154) | (~v1(constB154)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26058,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB154) | (~v1(constB154))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26057, 26056])).
% 25.99/17.33 tff(26059,plain,
% 25.99/17.33 (v22(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26058, 3028, 18739])).
% 25.99/17.33 tff(26060,plain,
% 25.99/17.33 (((~![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)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26061,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB154) | (~v22(constB154)) | (~v19(constB154)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26062,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB154) | (~v22(constB154)) | (~v19(constB154))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26061, 26060])).
% 25.99/17.33 tff(26063,plain,
% 25.99/17.33 (v18(constB154) | (~v19(constB154))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26062, 3042, 26059])).
% 25.99/17.33 tff(26064,plain,
% 25.99/17.33 (~v19(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26063, 26055])).
% 25.99/17.33 tff(26065,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26066,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB154) | v19(constB154))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26067,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB154) | v19(constB154)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26066, 26065])).
% 25.99/17.33 tff(26068,plain,
% 25.99/17.33 (v13(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26067, 3054, 26064])).
% 25.99/17.33 tff(26069,plain,
% 25.99/17.33 (((~![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)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26070,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26071,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB153) | (~v13(constB154)) | (~nextState(constB153, constB154))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26070, 26069])).
% 25.99/17.33 tff(26072,plain,
% 25.99/17.33 (v9(constB153) | (~v13(constB154))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26071, 3068, 18719])).
% 25.99/17.33 tff(26073,plain,
% 25.99/17.33 (v9(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26072, 26068])).
% 25.99/17.33 tff(26074,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v141(constB153))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB153) | (~v9(constB153)) | v141(constB153))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26075,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB153) | (~v9(constB153)) | v141(constB153))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26076,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB153) | (~v9(constB153)) | v141(constB153)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26075, 26074])).
% 25.99/17.33 tff(26077,plain,
% 25.99/17.33 ((~v9(constB153)) | v141(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26076, 3083, 18588])).
% 25.99/17.33 tff(26078,plain,
% 25.99/17.33 (v141(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26077, 26073])).
% 25.99/17.33 tff(26079,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB153)) | v140(constB153))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB153)) | v140(constB153))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26080,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB153)) | v140(constB153))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26081,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB153)) | v140(constB153)),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26080, 26079])).
% 25.99/17.33 tff(26082,plain,
% 25.99/17.33 (v140(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26081, 24165, 26078])).
% 25.99/17.33 tff(26083,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB153)) | (~v140(constB153)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB153)) | (~v140(constB153)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26084,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB153)) | (~v140(constB153)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26085,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB153)) | (~v140(constB153))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26084, 26083])).
% 25.99/17.33 tff(26086,plain,
% 25.99/17.33 (~v138(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26085, 24221, 26082])).
% 25.99/17.33 tff(26087,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB153) | v142(constB153) | (~v135(constB153)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB153) | v142(constB153) | (~v135(constB153)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26088,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB153) | v142(constB153) | (~v135(constB153)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26089,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB153) | v142(constB153) | (~v135(constB153))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26088, 26087])).
% 25.99/17.33 tff(26090,plain,
% 25.99/17.33 (v142(constB153) | (~v135(constB153))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26089, 24247, 26086])).
% 25.99/17.33 tff(26091,plain,
% 25.99/17.33 (~v135(constB153)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26090, 26051])).
% 25.99/17.33 tff(26092,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26093,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26094,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB153, constB154)) | v135(constB153) | (~v137(constB154))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26093, 26092])).
% 25.99/17.33 tff(26095,plain,
% 25.99/17.33 (v135(constB153) | (~v137(constB154))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26094, 24262, 18719])).
% 25.99/17.33 tff(26096,plain,
% 25.99/17.33 (~v137(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26095, 26091])).
% 25.99/17.33 tff(26097,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB154) | (~v138(constB154)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB154) | (~v138(constB154)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26098,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB154) | (~v138(constB154)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26099,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB154) | (~v138(constB154))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26098, 26097])).
% 25.99/17.33 tff(26100,plain,
% 25.99/17.33 (~v138(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26099, 24277, 26096])).
% 25.99/17.33 tff(26101,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB154)) | (~v141(constB154)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB154)) | (~v141(constB154)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26102,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB154)) | (~v141(constB154)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26103,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB154)) | (~v141(constB154))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26102, 26101])).
% 25.99/17.33 tff(26104,plain,
% 25.99/17.33 (~v141(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26103, 24291, 18739])).
% 25.99/17.33 tff(26105,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB154) | (~v144(constB154)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB154) | (~v144(constB154)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26106,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB154) | (~v144(constB154)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26107,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB154) | (~v144(constB154))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26106, 26105])).
% 25.99/17.33 tff(26108,plain,
% 25.99/17.33 (~v144(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26107, 24305, 26104])).
% 25.99/17.33 tff(26109,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB154) | (~v142(constB154)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB154) | (~v142(constB154)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26110,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB154) | (~v142(constB154)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26111,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB154) | (~v142(constB154))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 25.99/17.33 tff(26112,plain,
% 25.99/17.33 (~v142(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26111, 2985, 26108])).
% 25.99/17.33 tff(26113,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB154) | v142(constB154) | (~v135(constB154)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB154) | v142(constB154) | (~v135(constB154)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26114,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB154) | v142(constB154) | (~v135(constB154)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26115,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB154) | v142(constB154) | (~v135(constB154))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26114, 26113])).
% 25.99/17.33 tff(26116,plain,
% 25.99/17.33 (v138(constB154) | (~v135(constB154))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26115, 24247, 26112])).
% 25.99/17.33 tff(26117,plain,
% 25.99/17.33 (~v135(constB154)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26116, 26100])).
% 25.99/17.33 tff(26118,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26119,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26120,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB154, constB155)) | v135(constB154) | (~v137(constB155))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26119, 26118])).
% 25.99/17.33 tff(26121,plain,
% 25.99/17.33 (v135(constB154) | (~v137(constB155))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26120, 24262, 18781])).
% 25.99/17.33 tff(26122,plain,
% 25.99/17.33 (~v137(constB155)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26121, 26117])).
% 25.99/17.33 tff(26123,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB155) | (~v138(constB155)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB155) | (~v138(constB155)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26124,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB155) | (~v138(constB155)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26125,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB155) | (~v138(constB155))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26124, 26123])).
% 25.99/17.33 tff(26126,plain,
% 25.99/17.33 (~v138(constB155)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26125, 24277, 26122])).
% 25.99/17.33 tff(26127,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB155) | v142(constB155) | (~v135(constB155)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB155) | v142(constB155) | (~v135(constB155)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26128,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB155) | v142(constB155) | (~v135(constB155)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26129,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB155) | v142(constB155) | (~v135(constB155))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26128, 26127])).
% 25.99/17.33 tff(26130,plain,
% 25.99/17.33 (v142(constB155) | (~v135(constB155))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26129, 24247, 26126])).
% 25.99/17.33 tff(26131,plain,
% 25.99/17.33 (~v135(constB155)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26130, 26039])).
% 25.99/17.33 tff(26132,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26133,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26134,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB155, constB156)) | v135(constB155) | (~v137(constB156))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26133, 26132])).
% 25.99/17.33 tff(26135,plain,
% 25.99/17.33 (v135(constB155) | (~v137(constB156))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26134, 24262, 18905])).
% 25.99/17.33 tff(26136,plain,
% 25.99/17.33 (~v137(constB156)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26135, 26131])).
% 25.99/17.33 tff(26137,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB156) | (~v138(constB156)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB156) | (~v138(constB156)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26138,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB156) | (~v138(constB156)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26139,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB156) | (~v138(constB156))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26138, 26137])).
% 25.99/17.33 tff(26140,plain,
% 25.99/17.33 (~v138(constB156)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26139, 24277, 26136])).
% 25.99/17.33 tff(26141,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB156)) | (~v141(constB156)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB156)) | (~v141(constB156)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26142,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB156)) | (~v141(constB156)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26143,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB156)) | (~v141(constB156))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26142, 26141])).
% 25.99/17.33 tff(26144,plain,
% 25.99/17.33 (~v141(constB156)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26143, 24291, 18925])).
% 25.99/17.33 tff(26145,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB156) | (~v144(constB156)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB156) | (~v144(constB156)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26146,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB156) | (~v144(constB156)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26147,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB156) | (~v144(constB156))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26146, 26145])).
% 25.99/17.33 tff(26148,plain,
% 25.99/17.33 (~v144(constB156)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26147, 24305, 26144])).
% 25.99/17.33 tff(26149,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB156) | (~v142(constB156)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB156) | (~v142(constB156)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26150,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB156) | (~v142(constB156)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26151,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB156) | (~v142(constB156))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26150, 26149])).
% 25.99/17.33 tff(26152,plain,
% 25.99/17.33 (~v142(constB156)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26151, 2985, 26148])).
% 25.99/17.33 tff(26153,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB156) | v142(constB156) | (~v135(constB156)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB156) | v142(constB156) | (~v135(constB156)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26154,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB156) | v142(constB156) | (~v135(constB156)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26155,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB156) | v142(constB156) | (~v135(constB156))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26154, 26153])).
% 25.99/17.33 tff(26156,plain,
% 25.99/17.33 (v138(constB156) | (~v135(constB156))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26155, 24247, 26152])).
% 25.99/17.33 tff(26157,plain,
% 25.99/17.33 (~v135(constB156)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26156, 26140])).
% 25.99/17.33 tff(26158,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26159,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26160,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB156, constB157)) | v135(constB156) | (~v137(constB157))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26159, 26158])).
% 25.99/17.33 tff(26161,plain,
% 25.99/17.33 (v135(constB156) | (~v137(constB157))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26160, 24262, 18967])).
% 25.99/17.33 tff(26162,plain,
% 25.99/17.33 (~v137(constB157)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26161, 26157])).
% 25.99/17.33 tff(26163,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB157) | (~v138(constB157)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB157) | (~v138(constB157)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26164,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB157) | (~v138(constB157)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26165,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB157) | (~v138(constB157))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26164, 26163])).
% 25.99/17.33 tff(26166,plain,
% 25.99/17.33 (~v138(constB157)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26165, 24277, 26162])).
% 25.99/17.33 tff(26167,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB157) | v142(constB157) | (~v135(constB157)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB157) | v142(constB157) | (~v135(constB157)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26168,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB157) | v142(constB157) | (~v135(constB157)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26169,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB157) | v142(constB157) | (~v135(constB157))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26168, 26167])).
% 25.99/17.33 tff(26170,plain,
% 25.99/17.33 (v142(constB157) | (~v135(constB157))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26169, 24247, 26166])).
% 25.99/17.33 tff(26171,plain,
% 25.99/17.33 (~v135(constB157)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26170, 26014])).
% 25.99/17.33 tff(26172,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB157, constB158)) | v135(constB157) | (~v137(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB157, constB158)) | v135(constB157) | (~v137(constB158)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26173,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB157, constB158)) | v135(constB157) | (~v137(constB158)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26174,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB157, constB158)) | v135(constB157) | (~v137(constB158))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26173, 26172])).
% 25.99/17.33 tff(26175,plain,
% 25.99/17.33 (v135(constB157) | (~v137(constB158))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26174, 24262, 19104])).
% 25.99/17.33 tff(26176,plain,
% 25.99/17.33 (~v137(constB158)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26175, 26171])).
% 25.99/17.33 tff(26177,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB158) | (~v138(constB158)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB158) | (~v138(constB158)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26178,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB158) | (~v138(constB158)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26179,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB158) | (~v138(constB158))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26178, 26177])).
% 25.99/17.33 tff(26180,plain,
% 25.99/17.33 (~v138(constB158)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26179, 24277, 26176])).
% 25.99/17.33 tff(26181,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB158)) | (~v141(constB158)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB158)) | (~v141(constB158)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26182,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB158)) | (~v141(constB158)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26183,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB158)) | (~v141(constB158))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26182, 26181])).
% 25.99/17.33 tff(26184,plain,
% 25.99/17.33 (~v141(constB158)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26183, 24291, 19124])).
% 25.99/17.33 tff(26185,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB158) | (~v144(constB158)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB158) | (~v144(constB158)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26186,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB158) | (~v144(constB158)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26187,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB158) | (~v144(constB158))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26186, 26185])).
% 25.99/17.33 tff(26188,plain,
% 25.99/17.33 (~v144(constB158)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26187, 24305, 26184])).
% 25.99/17.33 tff(26189,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB158) | (~v142(constB158)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB158) | (~v142(constB158)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26190,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB158) | (~v142(constB158)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26191,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB158) | (~v142(constB158))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26190, 26189])).
% 25.99/17.33 tff(26192,plain,
% 25.99/17.33 (~v142(constB158)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26191, 2985, 26188])).
% 25.99/17.33 tff(26193,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB158) | v142(constB158) | (~v135(constB158)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB158) | v142(constB158) | (~v135(constB158)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26194,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB158) | v142(constB158) | (~v135(constB158)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26195,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB158) | v142(constB158) | (~v135(constB158))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26194, 26193])).
% 25.99/17.33 tff(26196,plain,
% 25.99/17.33 (v138(constB158) | (~v135(constB158))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26195, 24247, 26192])).
% 25.99/17.33 tff(26197,plain,
% 25.99/17.33 (~v135(constB158)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26196, 26180])).
% 25.99/17.33 tff(26198,plain,
% 25.99/17.33 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB158, constB159)) | v135(constB158) | (~v137(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB158, constB159)) | v135(constB158) | (~v137(constB159)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26199,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB158, constB159)) | v135(constB158) | (~v137(constB159)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26200,plain,
% 25.99/17.33 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB158, constB159)) | v135(constB158) | (~v137(constB159))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26199, 26198])).
% 25.99/17.33 tff(26201,plain,
% 25.99/17.33 (v135(constB158) | (~v137(constB159))),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26200, 24262, 19201])).
% 25.99/17.33 tff(26202,plain,
% 25.99/17.33 (~v137(constB159)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26201, 26197])).
% 25.99/17.33 tff(26203,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB159) | (~v153(constB159)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB159) | (~v153(constB159)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26204,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB159) | (~v153(constB159)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26205,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB159) | (~v153(constB159))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26204, 26203])).
% 25.99/17.33 tff(26206,plain,
% 25.99/17.33 (~v153(constB159)),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26205, 24437, 26202])).
% 25.99/17.33 tff(26207,assumption,(v18(constB160)), introduced(assumption)).
% 25.99/17.33 tff(26208,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB160))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26209,plain,
% 25.99/17.33 ($false),
% 25.99/17.33 inference(unit_resolution,[status(thm)],[26208, 3012, 26207])).
% 25.99/17.33 tff(26210,plain,(~v18(constB160)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.33 tff(26211,plain,
% 25.99/17.33 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160)))),
% 25.99/17.33 inference(rewrite,[status(thm)],[])).
% 25.99/17.33 tff(26212,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB160) | (~v1(constB160)))),
% 25.99/17.33 inference(quant_inst,[status(thm)],[])).
% 25.99/17.33 tff(26213,plain,
% 25.99/17.33 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB160) | (~v1(constB160))),
% 25.99/17.33 inference(modus_ponens,[status(thm)],[26212, 26211])).
% 25.99/17.33 tff(26214,plain,
% 25.99/17.33 (v22(constB160)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26213, 3028, 19385])).
% 25.99/17.34 tff(26215,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB160) | (~v22(constB160)) | (~v19(constB160)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB160) | (~v22(constB160)) | (~v19(constB160)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26216,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB160) | (~v22(constB160)) | (~v19(constB160)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26217,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB160) | (~v22(constB160)) | (~v19(constB160))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26216, 26215])).
% 25.99/17.34 tff(26218,plain,
% 25.99/17.34 (v18(constB160) | (~v19(constB160))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26217, 3042, 26214])).
% 25.99/17.34 tff(26219,plain,
% 25.99/17.34 (~v19(constB160)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26218, 26210])).
% 25.99/17.34 tff(26220,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26221,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB160) | v19(constB160))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26222,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB160) | v19(constB160)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26221, 26220])).
% 25.99/17.34 tff(26223,plain,
% 25.99/17.34 (v13(constB160)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26222, 3054, 26219])).
% 25.99/17.34 tff(26224,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26225,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26226,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB159) | (~v13(constB160)) | (~nextState(constB159, constB160))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 25.99/17.34 tff(26227,plain,
% 25.99/17.34 (v9(constB159) | (~v13(constB160))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26226, 3068, 19365])).
% 25.99/17.34 tff(26228,plain,
% 25.99/17.34 (v9(constB159)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26227, 26223])).
% 25.99/17.34 tff(26229,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v141(constB159))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB159) | (~v9(constB159)) | v141(constB159))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26230,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB159) | (~v9(constB159)) | v141(constB159))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26231,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB159) | (~v9(constB159)) | v141(constB159)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26230, 26229])).
% 25.99/17.34 tff(26232,plain,
% 25.99/17.34 ((~v9(constB159)) | v141(constB159)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26231, 3083, 19198])).
% 25.99/17.34 tff(26233,plain,
% 25.99/17.34 (v141(constB159)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26232, 26228])).
% 25.99/17.34 tff(26234,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB159)) | v140(constB159))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB159)) | v140(constB159))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26235,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB159)) | v140(constB159))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26236,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB159)) | v140(constB159)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26235, 26234])).
% 25.99/17.34 tff(26237,plain,
% 25.99/17.34 (v140(constB159)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26236, 24165, 26233])).
% 25.99/17.34 tff(26238,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB159)) | (~v155(constB159)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB159)) | (~v155(constB159)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26239,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB159)) | (~v155(constB159)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26240,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB159)) | (~v155(constB159))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26239, 26238])).
% 25.99/17.34 tff(26241,plain,
% 25.99/17.34 (~v155(constB159)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26240, 24482, 26237])).
% 25.99/17.34 tff(26242,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB159) | v155(constB159) | (~v150(constB159)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB159) | v155(constB159) | (~v150(constB159)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26243,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB159) | v155(constB159) | (~v150(constB159)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26244,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB159) | v155(constB159) | (~v150(constB159))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26243, 26242])).
% 25.99/17.34 tff(26245,plain,
% 25.99/17.34 (v153(constB159) | (~v150(constB159))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26244, 24496, 26241])).
% 25.99/17.34 tff(26246,plain,
% 25.99/17.34 (~v150(constB159)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26245, 26206])).
% 25.99/17.34 tff(26247,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB159, constB160)) | v150(constB159) | (~v152(constB160)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB159, constB160)) | v150(constB159) | (~v152(constB160)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26248,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB159, constB160)) | v150(constB159) | (~v152(constB160)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26249,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB159, constB160)) | v150(constB159) | (~v152(constB160))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26248, 26247])).
% 25.99/17.34 tff(26250,plain,
% 25.99/17.34 (v150(constB159) | (~v152(constB160))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26249, 24511, 19365])).
% 25.99/17.34 tff(26251,plain,
% 25.99/17.34 (~v152(constB160)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26250, 26246])).
% 25.99/17.34 tff(26252,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB160) | (~v155(constB160)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB160) | (~v155(constB160)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26253,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB160) | (~v155(constB160)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26254,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB160) | (~v155(constB160))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26253, 26252])).
% 25.99/17.34 tff(26255,plain,
% 25.99/17.34 (~v155(constB160)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26254, 24526, 26251])).
% 25.99/17.34 tff(26256,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB160)) | (~v141(constB160)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB160)) | (~v141(constB160)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26257,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB160)) | (~v141(constB160)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26258,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB160)) | (~v141(constB160))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26257, 26256])).
% 25.99/17.34 tff(26259,plain,
% 25.99/17.34 (~v141(constB160)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26258, 24291, 19385])).
% 25.99/17.34 tff(26260,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB160) | (~v154(constB160)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB160) | (~v154(constB160)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26261,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB160) | (~v154(constB160)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26262,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB160) | (~v154(constB160))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26261, 26260])).
% 25.99/17.34 tff(26263,plain,
% 25.99/17.34 (~v154(constB160)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26262, 24544, 26259])).
% 25.99/17.34 tff(26264,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB160) | (~v153(constB160)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB160) | (~v153(constB160)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26265,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB160) | (~v153(constB160)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26266,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB160) | (~v153(constB160))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26265, 26264])).
% 25.99/17.34 tff(26267,plain,
% 25.99/17.34 (~v153(constB160)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26266, 24558, 26263])).
% 25.99/17.34 tff(26268,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB160) | v155(constB160) | (~v150(constB160)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB160) | v155(constB160) | (~v150(constB160)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26269,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB160) | v155(constB160) | (~v150(constB160)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26270,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB160) | v155(constB160) | (~v150(constB160))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26269, 26268])).
% 25.99/17.34 tff(26271,plain,
% 25.99/17.34 (v155(constB160) | (~v150(constB160))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26270, 24496, 26267])).
% 25.99/17.34 tff(26272,plain,
% 25.99/17.34 (~v150(constB160)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26271, 26255])).
% 25.99/17.34 tff(26273,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB160, constB161)) | v150(constB160) | (~v152(constB161)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB160, constB161)) | v150(constB160) | (~v152(constB161)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26274,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB160, constB161)) | v150(constB160) | (~v152(constB161)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26275,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB160, constB161)) | v150(constB160) | (~v152(constB161))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26274, 26273])).
% 25.99/17.34 tff(26276,plain,
% 25.99/17.34 (v150(constB160) | (~v152(constB161))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26275, 24511, 19431])).
% 25.99/17.34 tff(26277,plain,
% 25.99/17.34 (~v152(constB161)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26276, 26272])).
% 25.99/17.34 tff(26278,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB161) | (~v164(constB161)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB161) | (~v164(constB161)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26279,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB161) | (~v164(constB161)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26280,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB161) | (~v164(constB161))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26279, 26278])).
% 25.99/17.34 tff(26281,plain,
% 25.99/17.34 (~v164(constB161)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26280, 24674, 26277])).
% 25.99/17.34 tff(26282,assumption,(v18(constB162)), introduced(assumption)).
% 25.99/17.34 tff(26283,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB162))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26284,plain,
% 25.99/17.34 ($false),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26283, 3012, 26282])).
% 25.99/17.34 tff(26285,plain,(~v18(constB162)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.34 tff(26286,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26287,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB162) | (~v1(constB162)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26288,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB162) | (~v1(constB162))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26287, 26286])).
% 25.99/17.34 tff(26289,plain,
% 25.99/17.34 (v22(constB162)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26288, 3028, 19637])).
% 25.99/17.34 tff(26290,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26291,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB162) | (~v22(constB162)) | (~v19(constB162)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26292,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB162) | (~v22(constB162)) | (~v19(constB162))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26291, 26290])).
% 25.99/17.34 tff(26293,plain,
% 25.99/17.34 (v18(constB162) | (~v19(constB162))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26292, 3042, 26289])).
% 25.99/17.34 tff(26294,plain,
% 25.99/17.34 (~v19(constB162)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26293, 26285])).
% 25.99/17.34 tff(26295,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26296,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB162) | v19(constB162))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26297,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB162) | v19(constB162)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26296, 26295])).
% 25.99/17.34 tff(26298,plain,
% 25.99/17.34 (v13(constB162)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26297, 3054, 26294])).
% 25.99/17.34 tff(26299,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26300,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26301,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB161) | (~v13(constB162)) | (~nextState(constB161, constB162))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26300, 26299])).
% 25.99/17.34 tff(26302,plain,
% 25.99/17.34 (v9(constB161) | (~v13(constB162))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26301, 3068, 19617])).
% 25.99/17.34 tff(26303,plain,
% 25.99/17.34 (v9(constB161)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26302, 26298])).
% 25.99/17.34 tff(26304,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v141(constB161))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB161) | (~v9(constB161)) | v141(constB161))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26305,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB161) | (~v9(constB161)) | v141(constB161))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26306,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB161) | (~v9(constB161)) | v141(constB161)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26305, 26304])).
% 25.99/17.34 tff(26307,plain,
% 25.99/17.34 ((~v9(constB161)) | v141(constB161)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26306, 3083, 19428])).
% 25.99/17.34 tff(26308,plain,
% 25.99/17.34 (v141(constB161)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26307, 26303])).
% 25.99/17.34 tff(26309,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB161)) | v140(constB161))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB161)) | v140(constB161))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26310,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB161)) | v140(constB161))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26311,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB161)) | v140(constB161)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26310, 26309])).
% 25.99/17.34 tff(26312,plain,
% 25.99/17.34 (v140(constB161)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26311, 24165, 26308])).
% 25.99/17.34 tff(26313,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB161)) | (~v163(constB161)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB161)) | (~v163(constB161)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26314,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB161)) | (~v163(constB161)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26315,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB161)) | (~v163(constB161))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26314, 26313])).
% 25.99/17.34 tff(26316,plain,
% 25.99/17.34 (~v163(constB161)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26315, 24179, 26312])).
% 25.99/17.34 tff(26317,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB161) | v164(constB161) | (~v160(constB161)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB161) | v164(constB161) | (~v160(constB161)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26318,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB161) | v164(constB161) | (~v160(constB161)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26319,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB161) | v164(constB161) | (~v160(constB161))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26318, 26317])).
% 25.99/17.34 tff(26320,plain,
% 25.99/17.34 (v164(constB161) | (~v160(constB161))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26319, 24688, 26316])).
% 25.99/17.34 tff(26321,plain,
% 25.99/17.34 (~v160(constB161)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26320, 26281])).
% 25.99/17.34 tff(26322,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB161, constB162)) | v160(constB161) | (~v162(constB162)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB161, constB162)) | v160(constB161) | (~v162(constB162)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26323,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB161, constB162)) | v160(constB161) | (~v162(constB162)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26324,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB161, constB162)) | v160(constB161) | (~v162(constB162))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26323, 26322])).
% 25.99/17.34 tff(26325,plain,
% 25.99/17.34 (v160(constB161) | (~v162(constB162))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26324, 24703, 19617])).
% 25.99/17.34 tff(26326,plain,
% 25.99/17.34 (~v162(constB162)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26325, 26321])).
% 25.99/17.34 tff(26327,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB162) | (~v163(constB162)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB162) | (~v163(constB162)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26328,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB162) | (~v163(constB162)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26329,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB162) | (~v163(constB162))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26328, 26327])).
% 25.99/17.34 tff(26330,plain,
% 25.99/17.34 (~v163(constB162)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26329, 24718, 26326])).
% 25.99/17.34 tff(26331,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB162)) | (~v141(constB162)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB162)) | (~v141(constB162)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26332,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB162)) | (~v141(constB162)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26333,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB162)) | (~v141(constB162))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26332, 26331])).
% 25.99/17.34 tff(26334,plain,
% 25.99/17.34 (~v141(constB162)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26333, 24291, 19637])).
% 25.99/17.34 tff(26335,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB162) | (~v154(constB162)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB162) | (~v154(constB162)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26336,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB162) | (~v154(constB162)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26337,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB162) | (~v154(constB162))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26336, 26335])).
% 25.99/17.34 tff(26338,plain,
% 25.99/17.34 (~v154(constB162)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26337, 24544, 26334])).
% 25.99/17.34 tff(26339,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB162) | (~v164(constB162)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB162) | (~v164(constB162)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26340,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB162) | (~v164(constB162)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26341,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB162) | (~v164(constB162))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26340, 26339])).
% 25.99/17.34 tff(26342,plain,
% 25.99/17.34 (~v164(constB162)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26341, 24740, 26338])).
% 25.99/17.34 tff(26343,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB162) | v164(constB162) | (~v160(constB162)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB162) | v164(constB162) | (~v160(constB162)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26344,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB162) | v164(constB162) | (~v160(constB162)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26345,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB162) | v164(constB162) | (~v160(constB162))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26344, 26343])).
% 25.99/17.34 tff(26346,plain,
% 25.99/17.34 (v163(constB162) | (~v160(constB162))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26345, 24688, 26342])).
% 25.99/17.34 tff(26347,plain,
% 25.99/17.34 (~v160(constB162)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26346, 26330])).
% 25.99/17.34 tff(26348,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB162, constB163)) | v160(constB162) | (~v162(constB163)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB162, constB163)) | v160(constB162) | (~v162(constB163)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26349,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB162, constB163)) | v160(constB162) | (~v162(constB163)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26350,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB162, constB163)) | v160(constB162) | (~v162(constB163))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26349, 26348])).
% 25.99/17.34 tff(26351,plain,
% 25.99/17.34 (v160(constB162) | (~v162(constB163))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26350, 24703, 19679])).
% 25.99/17.34 tff(26352,plain,
% 25.99/17.34 (~v162(constB163)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26351, 26347])).
% 25.99/17.34 tff(26353,plain,
% 25.99/17.34 ($false),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26352, 25999])).
% 25.99/17.34 tff(26354,plain,(~(constB163 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.34 tff(26355,assumption,(constB5 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.34 tff(26356,plain,
% 25.99/17.34 (v162(constB5) <=> v162(sK0_VarCurr)),
% 25.99/17.34 inference(monotonicity,[status(thm)],[26355])).
% 25.99/17.34 tff(26357,plain,
% 25.99/17.34 (v162(sK0_VarCurr) <=> v162(constB5)),
% 25.99/17.34 inference(symmetry,[status(thm)],[26356])).
% 25.99/17.34 tff(26358,plain,
% 25.99/17.34 (v162(constB5)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[24130, 26357])).
% 25.99/17.34 tff(26359,plain,
% 25.99/17.34 (v1(constB0) <=> v1(constB0)),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26360,axiom,(v1(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_201')).
% 25.99/17.34 tff(26361,plain,
% 25.99/17.34 (v1(constB0)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26360, 26359])).
% 25.99/17.34 tff(26362,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB0)) | (~v141(constB0)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB0)) | (~v141(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26363,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB0)) | (~v141(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26364,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB0)) | (~v141(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26363, 26362])).
% 25.99/17.34 tff(26365,plain,
% 25.99/17.34 (~v141(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26364, 24291, 26361])).
% 25.99/17.34 tff(26366,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB0) | (~v144(constB0)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB0) | (~v144(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26367,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB0) | (~v144(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26368,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB0) | (~v144(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26367, 26366])).
% 25.99/17.34 tff(26369,plain,
% 25.99/17.34 (~v144(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26368, 24305, 26365])).
% 25.99/17.34 tff(26370,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB0) | (~v142(constB0)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB0) | (~v142(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26371,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB0) | (~v142(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26372,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB0) | (~v142(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26371, 26370])).
% 25.99/17.34 tff(26373,plain,
% 25.99/17.34 (~v142(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26372, 2985, 26369])).
% 25.99/17.34 tff(26374,plain,
% 25.99/17.34 ((~v137(constB0)) <=> (~v137(constB0))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26375,axiom,(~v137(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_5_1_1_1')).
% 25.99/17.34 tff(26376,plain,
% 25.99/17.34 (~v137(constB0)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26375, 26374])).
% 25.99/17.34 tff(26377,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB0) | (~v138(constB0)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB0) | (~v138(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26378,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB0) | (~v138(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26379,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB0) | (~v138(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26378, 26377])).
% 25.99/17.34 tff(26380,plain,
% 25.99/17.34 (~v138(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26379, 26376, 24277])).
% 25.99/17.34 tff(26381,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB0) | v142(constB0) | (~v135(constB0)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB0) | v142(constB0) | (~v135(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26382,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB0) | v142(constB0) | (~v135(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26383,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB0) | v142(constB0) | (~v135(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26382, 26381])).
% 25.99/17.34 tff(26384,plain,
% 25.99/17.34 (v142(constB0) | (~v135(constB0))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26383, 24247, 26380])).
% 25.99/17.34 tff(26385,plain,
% 25.99/17.34 (~v135(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26384, 26373])).
% 25.99/17.34 tff(26386,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26387,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26388,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB0, constB1)) | v135(constB0) | (~v137(constB1))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26387, 26386])).
% 25.99/17.34 tff(26389,plain,
% 25.99/17.34 (v135(constB0) | (~v137(constB1))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26388, 24262, 63])).
% 25.99/17.34 tff(26390,plain,
% 25.99/17.34 (~v137(constB1)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26389, 26385])).
% 25.99/17.34 tff(26391,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB1) | (~v153(constB1)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB1) | (~v153(constB1)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26392,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB1) | (~v153(constB1)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26393,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB1) | (~v153(constB1))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26392, 26391])).
% 25.99/17.34 tff(26394,plain,
% 25.99/17.34 (~v153(constB1)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26393, 24437, 26390])).
% 25.99/17.34 tff(26395,plain,
% 25.99/17.34 ((~v152(constB0)) <=> (~v152(constB0))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26396,axiom,(~v152(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_6_1_1_1')).
% 25.99/17.34 tff(26397,plain,
% 25.99/17.34 (~v152(constB0)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26396, 26395])).
% 25.99/17.34 tff(26398,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB0) | (~v155(constB0)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB0) | (~v155(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26399,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB0) | (~v155(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26400,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB0) | (~v155(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26399, 26398])).
% 25.99/17.34 tff(26401,plain,
% 25.99/17.34 (~v155(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26400, 26397, 24526])).
% 25.99/17.34 tff(26402,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB0) | (~v153(constB0)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB0) | (~v153(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26403,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB0) | (~v153(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26404,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB0) | (~v153(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26403, 26402])).
% 25.99/17.34 tff(26405,plain,
% 25.99/17.34 (~v153(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26404, 26376, 24437])).
% 25.99/17.34 tff(26406,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB0) | v155(constB0) | (~v150(constB0)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB0) | v155(constB0) | (~v150(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26407,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB0) | v155(constB0) | (~v150(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26408,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB0) | v155(constB0) | (~v150(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26407, 26406])).
% 25.99/17.34 tff(26409,plain,
% 25.99/17.34 (~v150(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26408, 24496, 26405, 26401])).
% 25.99/17.34 tff(26410,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26411,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26412,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB0, constB1)) | v150(constB0) | (~v152(constB1))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26411, 26410])).
% 25.99/17.34 tff(26413,plain,
% 25.99/17.34 (v150(constB0) | (~v152(constB1))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26412, 24511, 63])).
% 25.99/17.34 tff(26414,plain,
% 25.99/17.34 (~v152(constB1)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26413, 26409])).
% 25.99/17.34 tff(26415,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB1) | (~v155(constB1)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB1) | (~v155(constB1)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26416,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB1) | (~v155(constB1)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26417,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB1) | (~v155(constB1))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26416, 26415])).
% 25.99/17.34 tff(26418,plain,
% 25.99/17.34 (~v155(constB1)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26417, 24526, 26414])).
% 25.99/17.34 tff(26419,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB1) | v155(constB1) | (~v150(constB1)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB1) | v155(constB1) | (~v150(constB1)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26420,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB1) | v155(constB1) | (~v150(constB1)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26421,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB1) | v155(constB1) | (~v150(constB1))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26420, 26419])).
% 25.99/17.34 tff(26422,plain,
% 25.99/17.34 (v153(constB1) | (~v150(constB1))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26421, 24496, 26418])).
% 25.99/17.34 tff(26423,plain,
% 25.99/17.34 (~v150(constB1)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26422, 26394])).
% 25.99/17.34 tff(26424,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26425,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26426,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB1, constB2)) | v150(constB1) | (~v152(constB2))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26425, 26424])).
% 25.99/17.34 tff(26427,plain,
% 25.99/17.34 (v150(constB1) | (~v152(constB2))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26426, 24511, 285])).
% 25.99/17.34 tff(26428,plain,
% 25.99/17.34 (~v152(constB2)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26427, 26423])).
% 25.99/17.34 tff(26429,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB2) | (~v155(constB2)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB2) | (~v155(constB2)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26430,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB2) | (~v155(constB2)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26431,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB2) | (~v155(constB2))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26430, 26429])).
% 25.99/17.34 tff(26432,plain,
% 25.99/17.34 (~v155(constB2)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26431, 24526, 26428])).
% 25.99/17.34 tff(26433,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB2)) | (~v141(constB2)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB2)) | (~v141(constB2)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26434,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB2)) | (~v141(constB2)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26435,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB2)) | (~v141(constB2))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 25.99/17.34 tff(26436,plain,
% 25.99/17.34 (~v141(constB2)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26435, 24291, 335])).
% 25.99/17.34 tff(26437,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB2) | (~v154(constB2)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB2) | (~v154(constB2)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26438,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB2) | (~v154(constB2)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26439,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB2) | (~v154(constB2))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26438, 26437])).
% 25.99/17.34 tff(26440,plain,
% 25.99/17.34 (~v154(constB2)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26439, 24544, 26436])).
% 25.99/17.34 tff(26441,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB2) | (~v153(constB2)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB2) | (~v153(constB2)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26442,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB2) | (~v153(constB2)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26443,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB2) | (~v153(constB2))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26442, 26441])).
% 25.99/17.34 tff(26444,plain,
% 25.99/17.34 (~v153(constB2)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26443, 24558, 26440])).
% 25.99/17.34 tff(26445,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB2) | v155(constB2) | (~v150(constB2)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB2) | v155(constB2) | (~v150(constB2)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26446,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB2) | v155(constB2) | (~v150(constB2)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26447,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB2) | v155(constB2) | (~v150(constB2))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26446, 26445])).
% 25.99/17.34 tff(26448,plain,
% 25.99/17.34 (v155(constB2) | (~v150(constB2))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26447, 24496, 26444])).
% 25.99/17.34 tff(26449,plain,
% 25.99/17.34 (~v150(constB2)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26448, 26432])).
% 25.99/17.34 tff(26450,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26451,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26452,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB2, constB3)) | v150(constB2) | (~v152(constB3))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26451, 26450])).
% 25.99/17.34 tff(26453,plain,
% 25.99/17.34 (v150(constB2) | (~v152(constB3))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26452, 24511, 434])).
% 25.99/17.34 tff(26454,plain,
% 25.99/17.34 (~v152(constB3)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26453, 26449])).
% 25.99/17.34 tff(26455,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB3) | (~v164(constB3)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB3) | (~v164(constB3)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26456,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB3) | (~v164(constB3)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26457,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB3) | (~v164(constB3))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26456, 26455])).
% 25.99/17.34 tff(26458,plain,
% 25.99/17.34 (~v164(constB3)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26457, 24674, 26454])).
% 25.99/17.34 tff(26459,plain,
% 25.99/17.34 ((~v162(constB0)) <=> (~v162(constB0))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26460,axiom,(~v162(constB0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignmentInitValue_7_1_1_1')).
% 25.99/17.34 tff(26461,plain,
% 25.99/17.34 (~v162(constB0)),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26460, 26459])).
% 25.99/17.34 tff(26462,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB0) | (~v163(constB0)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB0) | (~v163(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26463,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB0) | (~v163(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26464,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB0) | (~v163(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26463, 26462])).
% 25.99/17.34 tff(26465,plain,
% 25.99/17.34 (~v163(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26464, 26461, 24718])).
% 25.99/17.34 tff(26466,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB0) | (~v164(constB0)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB0) | (~v164(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26467,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB0) | (~v164(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26468,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB0) | (~v164(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26467, 26466])).
% 25.99/17.34 tff(26469,plain,
% 25.99/17.34 (~v164(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26468, 26397, 24674])).
% 25.99/17.34 tff(26470,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB0) | v164(constB0) | (~v160(constB0)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB0) | v164(constB0) | (~v160(constB0)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26471,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB0) | v164(constB0) | (~v160(constB0)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26472,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB0) | v164(constB0) | (~v160(constB0))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26471, 26470])).
% 25.99/17.34 tff(26473,plain,
% 25.99/17.34 (~v160(constB0)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26472, 24688, 26469, 26465])).
% 25.99/17.34 tff(26474,plain,
% 25.99/17.34 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26475,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26476,plain,
% 25.99/17.34 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB0, constB1)) | v160(constB0) | (~v162(constB1))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26475, 26474])).
% 25.99/17.34 tff(26477,plain,
% 25.99/17.34 (v160(constB0) | (~v162(constB1))),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26476, 24703, 63])).
% 25.99/17.34 tff(26478,plain,
% 25.99/17.34 (~v162(constB1)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26477, 26473])).
% 25.99/17.34 tff(26479,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB1) | (~v163(constB1)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB1) | (~v163(constB1)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26480,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB1) | (~v163(constB1)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26481,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB1) | (~v163(constB1))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26480, 26479])).
% 25.99/17.34 tff(26482,plain,
% 25.99/17.34 (~v163(constB1)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26481, 24718, 26478])).
% 25.99/17.34 tff(26483,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB1) | (~v164(constB1)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB1) | (~v164(constB1)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26484,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB1) | (~v164(constB1)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26485,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB1) | (~v164(constB1))),
% 25.99/17.34 inference(modus_ponens,[status(thm)],[26484, 26483])).
% 25.99/17.34 tff(26486,plain,
% 25.99/17.34 (~v164(constB1)),
% 25.99/17.34 inference(unit_resolution,[status(thm)],[26485, 24674, 26414])).
% 25.99/17.34 tff(26487,plain,
% 25.99/17.34 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB1) | v164(constB1) | (~v160(constB1)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB1) | v164(constB1) | (~v160(constB1)))),
% 25.99/17.34 inference(rewrite,[status(thm)],[])).
% 25.99/17.34 tff(26488,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB1) | v164(constB1) | (~v160(constB1)))),
% 25.99/17.34 inference(quant_inst,[status(thm)],[])).
% 25.99/17.34 tff(26489,plain,
% 25.99/17.34 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB1) | v164(constB1) | (~v160(constB1))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26488, 26487])).
% 25.99/17.35 tff(26490,plain,
% 25.99/17.35 (~v160(constB1)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26489, 24688, 26486, 26482])).
% 25.99/17.35 tff(26491,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26492,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26493,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB1, constB2)) | v160(constB1) | (~v162(constB2))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26492, 26491])).
% 25.99/17.35 tff(26494,plain,
% 25.99/17.35 (v160(constB1) | (~v162(constB2))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26493, 24703, 285])).
% 25.99/17.35 tff(26495,plain,
% 25.99/17.35 (~v162(constB2)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26494, 26490])).
% 25.99/17.35 tff(26496,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB2) | (~v163(constB2)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB2) | (~v163(constB2)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26497,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB2) | (~v163(constB2)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26498,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB2) | (~v163(constB2))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26497, 26496])).
% 25.99/17.35 tff(26499,plain,
% 25.99/17.35 (~v163(constB2)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26498, 24718, 26495])).
% 25.99/17.35 tff(26500,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB2) | (~v164(constB2)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB2) | (~v164(constB2)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26501,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB2) | (~v164(constB2)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26502,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB2) | (~v164(constB2))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26501, 26500])).
% 25.99/17.35 tff(26503,plain,
% 25.99/17.35 (~v164(constB2)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26502, 24740, 26440])).
% 25.99/17.35 tff(26504,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB2) | v164(constB2) | (~v160(constB2)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB2) | v164(constB2) | (~v160(constB2)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26505,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB2) | v164(constB2) | (~v160(constB2)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26506,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB2) | v164(constB2) | (~v160(constB2))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26505, 26504])).
% 25.99/17.35 tff(26507,plain,
% 25.99/17.35 (v163(constB2) | (~v160(constB2))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26506, 24688, 26503])).
% 25.99/17.35 tff(26508,plain,
% 25.99/17.35 (~v160(constB2)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26507, 26499])).
% 25.99/17.35 tff(26509,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26510,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26511,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB2, constB3)) | v160(constB2) | (~v162(constB3))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26510, 26509])).
% 25.99/17.35 tff(26512,plain,
% 25.99/17.35 (v160(constB2) | (~v162(constB3))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26511, 24703, 434])).
% 25.99/17.35 tff(26513,plain,
% 25.99/17.35 (~v162(constB3)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26512, 26508])).
% 25.99/17.35 tff(26514,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB3) | (~v163(constB3)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB3) | (~v163(constB3)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26515,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB3) | (~v163(constB3)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26516,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB3) | (~v163(constB3))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26515, 26514])).
% 25.99/17.35 tff(26517,plain,
% 25.99/17.35 (~v163(constB3)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26516, 24718, 26513])).
% 25.99/17.35 tff(26518,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB3) | v164(constB3) | (~v160(constB3)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB3) | v164(constB3) | (~v160(constB3)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26519,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB3) | v164(constB3) | (~v160(constB3)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26520,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB3) | v164(constB3) | (~v160(constB3))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26519, 26518])).
% 25.99/17.35 tff(26521,plain,
% 25.99/17.35 (~v160(constB3)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26520, 24688, 26517, 26458])).
% 25.99/17.35 tff(26522,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26523,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26524,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB3, constB4)) | v160(constB3) | (~v162(constB4))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26523, 26522])).
% 25.99/17.35 tff(26525,plain,
% 25.99/17.35 (v160(constB3) | (~v162(constB4))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26524, 24703, 640])).
% 25.99/17.35 tff(26526,plain,
% 25.99/17.35 (~v162(constB4)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26525, 26521])).
% 25.99/17.35 tff(26527,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB4) | (~v163(constB4)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB4) | (~v163(constB4)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26528,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB4) | (~v163(constB4)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26529,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB4) | (~v163(constB4))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26528, 26527])).
% 25.99/17.35 tff(26530,plain,
% 25.99/17.35 (~v163(constB4)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26529, 24718, 26526])).
% 25.99/17.35 tff(26531,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB4)) | (~v141(constB4)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB4)) | (~v141(constB4)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26532,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB4)) | (~v141(constB4)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26533,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB4)) | (~v141(constB4))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26532, 26531])).
% 25.99/17.35 tff(26534,plain,
% 25.99/17.35 (~v141(constB4)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26533, 24291, 745])).
% 25.99/17.35 tff(26535,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB4) | (~v154(constB4)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB4) | (~v154(constB4)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26536,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB4) | (~v154(constB4)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26537,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB4) | (~v154(constB4))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26536, 26535])).
% 25.99/17.35 tff(26538,plain,
% 25.99/17.35 (~v154(constB4)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26537, 24544, 26534])).
% 25.99/17.35 tff(26539,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB4) | (~v164(constB4)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB4) | (~v164(constB4)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26540,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB4) | (~v164(constB4)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26541,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB4) | (~v164(constB4))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26540, 26539])).
% 25.99/17.35 tff(26542,plain,
% 25.99/17.35 (~v164(constB4)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26541, 24740, 26538])).
% 25.99/17.35 tff(26543,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB4) | v164(constB4) | (~v160(constB4)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB4) | v164(constB4) | (~v160(constB4)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26544,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB4) | v164(constB4) | (~v160(constB4)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26545,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB4) | v164(constB4) | (~v160(constB4))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26544, 26543])).
% 25.99/17.35 tff(26546,plain,
% 25.99/17.35 (v163(constB4) | (~v160(constB4))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26545, 24688, 26542])).
% 25.99/17.35 tff(26547,plain,
% 25.99/17.35 (~v160(constB4)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26546, 26530])).
% 25.99/17.35 tff(26548,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26549,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26550,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB4, constB5)) | v160(constB4) | (~v162(constB5))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26549, 26548])).
% 25.99/17.35 tff(26551,plain,
% 25.99/17.35 (v160(constB4) | (~v162(constB5))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26550, 24703, 770])).
% 25.99/17.35 tff(26552,plain,
% 25.99/17.35 (~v162(constB5)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26551, 26547])).
% 25.99/17.35 tff(26553,plain,
% 25.99/17.35 ($false),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26552, 26358])).
% 25.99/17.35 tff(26554,plain,(~(constB5 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.35 tff(26555,assumption,(constB53 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.35 tff(26556,plain,
% 25.99/17.35 (v162(constB53) <=> v162(sK0_VarCurr)),
% 25.99/17.35 inference(monotonicity,[status(thm)],[26555])).
% 25.99/17.35 tff(26557,plain,
% 25.99/17.35 (v162(sK0_VarCurr) <=> v162(constB53)),
% 25.99/17.35 inference(symmetry,[status(thm)],[26556])).
% 25.99/17.35 tff(26558,plain,
% 25.99/17.35 (v162(constB53)),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[24130, 26557])).
% 25.99/17.35 tff(26559,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB47)) | (~v84(constB47, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB47)) | (~v84(constB47, bitIndex2)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26560,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB47)) | (~v84(constB47, bitIndex2)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26561,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB47)) | (~v84(constB47, bitIndex2))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26560, 26559])).
% 25.99/17.35 tff(26562,plain,
% 25.99/17.35 (~v145(constB47)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26561, 16179, 5904])).
% 25.99/17.35 tff(26563,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB47) | (~v144(constB47)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB47) | (~v144(constB47)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26564,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB47) | (~v144(constB47)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26565,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB47) | (~v144(constB47))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26564, 26563])).
% 25.99/17.35 tff(26566,plain,
% 25.99/17.35 (~v144(constB47)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26565, 2971, 26562])).
% 25.99/17.35 tff(26567,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB47) | (~v142(constB47)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB47) | (~v142(constB47)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26568,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB47) | (~v142(constB47)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26569,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB47) | (~v142(constB47))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26568, 26567])).
% 25.99/17.35 tff(26570,plain,
% 25.99/17.35 (~v142(constB47)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26569, 2985, 26566])).
% 25.99/17.35 tff(26571,assumption,(v18(constB48)), introduced(assumption)).
% 25.99/17.35 tff(26572,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB48))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26573,plain,
% 25.99/17.35 ($false),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26572, 3012, 26571])).
% 25.99/17.35 tff(26574,plain,(~v18(constB48)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.35 tff(26575,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26576,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB48) | (~v1(constB48)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26577,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB48) | (~v1(constB48))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26576, 26575])).
% 25.99/17.35 tff(26578,plain,
% 25.99/17.35 (v22(constB48)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26577, 3028, 6023])).
% 25.99/17.35 tff(26579,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB48) | (~v22(constB48)) | (~v19(constB48)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB48) | (~v22(constB48)) | (~v19(constB48)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26580,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB48) | (~v22(constB48)) | (~v19(constB48)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26581,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB48) | (~v22(constB48)) | (~v19(constB48))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26580, 26579])).
% 25.99/17.35 tff(26582,plain,
% 25.99/17.35 (v18(constB48) | (~v19(constB48))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26581, 3042, 26578])).
% 25.99/17.35 tff(26583,plain,
% 25.99/17.35 (~v19(constB48)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26582, 26574])).
% 25.99/17.35 tff(26584,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26585,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB48) | v19(constB48))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26586,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB48) | v19(constB48)),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26585, 26584])).
% 25.99/17.35 tff(26587,plain,
% 25.99/17.35 (v13(constB48)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26586, 3054, 26583])).
% 25.99/17.35 tff(26588,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26589,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26590,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB47) | (~v13(constB48)) | (~nextState(constB47, constB48))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26589, 26588])).
% 25.99/17.35 tff(26591,plain,
% 25.99/17.35 (v9(constB47) | (~v13(constB48))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26590, 3068, 6003])).
% 25.99/17.35 tff(26592,plain,
% 25.99/17.35 (v9(constB47)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26591, 26587])).
% 25.99/17.35 tff(26593,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v141(constB47))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB47) | (~v9(constB47)) | v141(constB47))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26594,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB47) | (~v9(constB47)) | v141(constB47))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26595,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB47) | (~v9(constB47)) | v141(constB47)),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26594, 26593])).
% 25.99/17.35 tff(26596,plain,
% 25.99/17.35 ((~v9(constB47)) | v141(constB47)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26595, 3083, 5880])).
% 25.99/17.35 tff(26597,plain,
% 25.99/17.35 (v141(constB47)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26596, 26592])).
% 25.99/17.35 tff(26598,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB47)) | v140(constB47))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB47)) | v140(constB47))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26599,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB47)) | v140(constB47))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26600,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB47)) | v140(constB47)),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26599, 26598])).
% 25.99/17.35 tff(26601,plain,
% 25.99/17.35 (v140(constB47)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26600, 24165, 26597])).
% 25.99/17.35 tff(26602,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB47)) | (~v140(constB47)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB47)) | (~v140(constB47)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26603,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB47)) | (~v140(constB47)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26604,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB47)) | (~v140(constB47))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26603, 26602])).
% 25.99/17.35 tff(26605,plain,
% 25.99/17.35 (~v138(constB47)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26604, 24221, 26601])).
% 25.99/17.35 tff(26606,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB47) | v142(constB47) | (~v135(constB47)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB47) | v142(constB47) | (~v135(constB47)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26607,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB47) | v142(constB47) | (~v135(constB47)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26608,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB47) | v142(constB47) | (~v135(constB47))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26607, 26606])).
% 25.99/17.35 tff(26609,plain,
% 25.99/17.35 (v142(constB47) | (~v135(constB47))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26608, 24247, 26605])).
% 25.99/17.35 tff(26610,plain,
% 25.99/17.35 (~v135(constB47)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26609, 26570])).
% 25.99/17.35 tff(26611,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB47, constB48)) | v135(constB47) | (~v137(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB47, constB48)) | v135(constB47) | (~v137(constB48)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26612,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB47, constB48)) | v135(constB47) | (~v137(constB48)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26613,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB47, constB48)) | v135(constB47) | (~v137(constB48))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26612, 26611])).
% 25.99/17.35 tff(26614,plain,
% 25.99/17.35 (v135(constB47) | (~v137(constB48))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26613, 24262, 6003])).
% 25.99/17.35 tff(26615,plain,
% 25.99/17.35 (~v137(constB48)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26614, 26610])).
% 25.99/17.35 tff(26616,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB48) | (~v138(constB48)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB48) | (~v138(constB48)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26617,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB48) | (~v138(constB48)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26618,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB48) | (~v138(constB48))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26617, 26616])).
% 25.99/17.35 tff(26619,plain,
% 25.99/17.35 (~v138(constB48)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26618, 24277, 26615])).
% 25.99/17.35 tff(26620,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB48)) | (~v141(constB48)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB48)) | (~v141(constB48)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26621,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB48)) | (~v141(constB48)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26622,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB48)) | (~v141(constB48))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26621, 26620])).
% 25.99/17.35 tff(26623,plain,
% 25.99/17.35 (~v141(constB48)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26622, 24291, 6023])).
% 25.99/17.35 tff(26624,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB48) | (~v144(constB48)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB48) | (~v144(constB48)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26625,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB48) | (~v144(constB48)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26626,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB48) | (~v144(constB48))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26625, 26624])).
% 25.99/17.35 tff(26627,plain,
% 25.99/17.35 (~v144(constB48)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26626, 24305, 26623])).
% 25.99/17.35 tff(26628,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB48) | (~v142(constB48)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB48) | (~v142(constB48)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26629,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB48) | (~v142(constB48)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26630,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB48) | (~v142(constB48))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26629, 26628])).
% 25.99/17.35 tff(26631,plain,
% 25.99/17.35 (~v142(constB48)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26630, 2985, 26627])).
% 25.99/17.35 tff(26632,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB48) | v142(constB48) | (~v135(constB48)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB48) | v142(constB48) | (~v135(constB48)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26633,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB48) | v142(constB48) | (~v135(constB48)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26634,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB48) | v142(constB48) | (~v135(constB48))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26633, 26632])).
% 25.99/17.35 tff(26635,plain,
% 25.99/17.35 (v138(constB48) | (~v135(constB48))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26634, 24247, 26631])).
% 25.99/17.35 tff(26636,plain,
% 25.99/17.35 (~v135(constB48)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26635, 26619])).
% 25.99/17.35 tff(26637,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB48, constB49)) | v135(constB48) | (~v137(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB48, constB49)) | v135(constB48) | (~v137(constB49)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26638,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB48, constB49)) | v135(constB48) | (~v137(constB49)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26639,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB48, constB49)) | v135(constB48) | (~v137(constB49))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26638, 26637])).
% 25.99/17.35 tff(26640,plain,
% 25.99/17.35 (v135(constB48) | (~v137(constB49))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26639, 24262, 6065])).
% 25.99/17.35 tff(26641,plain,
% 25.99/17.35 (~v137(constB49)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26640, 26636])).
% 25.99/17.35 tff(26642,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB49) | (~v153(constB49)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB49) | (~v153(constB49)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26643,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB49) | (~v153(constB49)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26644,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB49) | (~v153(constB49))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26643, 26642])).
% 25.99/17.35 tff(26645,plain,
% 25.99/17.35 (~v153(constB49)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26644, 24437, 26641])).
% 25.99/17.35 tff(26646,assumption,(v18(constB50)), introduced(assumption)).
% 25.99/17.35 tff(26647,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB50))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26648,plain,
% 25.99/17.35 ($false),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26647, 3012, 26646])).
% 25.99/17.35 tff(26649,plain,(~v18(constB50)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.35 tff(26650,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26651,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB50) | (~v1(constB50)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26652,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB50) | (~v1(constB50))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26651, 26650])).
% 25.99/17.35 tff(26653,plain,
% 25.99/17.35 (v22(constB50)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26652, 3028, 6198])).
% 25.99/17.35 tff(26654,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB50) | (~v22(constB50)) | (~v19(constB50)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB50) | (~v22(constB50)) | (~v19(constB50)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26655,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB50) | (~v22(constB50)) | (~v19(constB50)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26656,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB50) | (~v22(constB50)) | (~v19(constB50))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26655, 26654])).
% 25.99/17.35 tff(26657,plain,
% 25.99/17.35 (v18(constB50) | (~v19(constB50))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26656, 3042, 26653])).
% 25.99/17.35 tff(26658,plain,
% 25.99/17.35 (~v19(constB50)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26657, 26649])).
% 25.99/17.35 tff(26659,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26660,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB50) | v19(constB50))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26661,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB50) | v19(constB50)),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26660, 26659])).
% 25.99/17.35 tff(26662,plain,
% 25.99/17.35 (v13(constB50)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26661, 3054, 26658])).
% 25.99/17.35 tff(26663,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26664,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26665,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB49) | (~v13(constB50)) | (~nextState(constB49, constB50))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26664, 26663])).
% 25.99/17.35 tff(26666,plain,
% 25.99/17.35 (v9(constB49) | (~v13(constB50))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26665, 3068, 6178])).
% 25.99/17.35 tff(26667,plain,
% 25.99/17.35 (v9(constB49)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26666, 26662])).
% 25.99/17.35 tff(26668,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v141(constB49))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB49) | (~v9(constB49)) | v141(constB49))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26669,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB49) | (~v9(constB49)) | v141(constB49))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26670,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB49) | (~v9(constB49)) | v141(constB49)),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26669, 26668])).
% 25.99/17.35 tff(26671,plain,
% 25.99/17.35 ((~v9(constB49)) | v141(constB49)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26670, 3083, 6062])).
% 25.99/17.35 tff(26672,plain,
% 25.99/17.35 (v141(constB49)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26671, 26667])).
% 25.99/17.35 tff(26673,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB49) | (~v141(constB49)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB49) | (~v141(constB49)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26674,plain,
% 25.99/17.35 (((~v141(constB49)) | v140(constB49)) <=> (v140(constB49) | (~v141(constB49)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26675,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB49)) | v140(constB49))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB49) | (~v141(constB49))))),
% 25.99/17.35 inference(monotonicity,[status(thm)],[26674])).
% 25.99/17.35 tff(26676,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB49)) | v140(constB49))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB49) | (~v141(constB49)))),
% 25.99/17.35 inference(transitivity,[status(thm)],[26675, 26673])).
% 25.99/17.35 tff(26677,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB49)) | v140(constB49))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26678,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB49) | (~v141(constB49))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26677, 26676])).
% 25.99/17.35 tff(26679,plain,
% 25.99/17.35 (v140(constB49)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26678, 24165, 26672])).
% 25.99/17.35 tff(26680,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB49)) | (~v155(constB49)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB49)) | (~v155(constB49)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26681,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB49)) | (~v155(constB49)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26682,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB49)) | (~v155(constB49))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26681, 26680])).
% 25.99/17.35 tff(26683,plain,
% 25.99/17.35 (~v155(constB49)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26682, 24482, 26679])).
% 25.99/17.35 tff(26684,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB49) | v155(constB49) | (~v150(constB49)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB49) | v155(constB49) | (~v150(constB49)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26685,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB49) | v155(constB49) | (~v150(constB49)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26686,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB49) | v155(constB49) | (~v150(constB49))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26685, 26684])).
% 25.99/17.35 tff(26687,plain,
% 25.99/17.35 (v153(constB49) | (~v150(constB49))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26686, 24496, 26683])).
% 25.99/17.35 tff(26688,plain,
% 25.99/17.35 (~v150(constB49)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26687, 26645])).
% 25.99/17.35 tff(26689,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB49, constB50)) | v150(constB49) | (~v152(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB49, constB50)) | v150(constB49) | (~v152(constB50)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26690,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB49, constB50)) | v150(constB49) | (~v152(constB50)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26691,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB49, constB50)) | v150(constB49) | (~v152(constB50))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26690, 26689])).
% 25.99/17.35 tff(26692,plain,
% 25.99/17.35 (v150(constB49) | (~v152(constB50))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26691, 24511, 6178])).
% 25.99/17.35 tff(26693,plain,
% 25.99/17.35 (~v152(constB50)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26692, 26688])).
% 25.99/17.35 tff(26694,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB50) | (~v155(constB50)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB50) | (~v155(constB50)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26695,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB50) | (~v155(constB50)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26696,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB50) | (~v155(constB50))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26695, 26694])).
% 25.99/17.35 tff(26697,plain,
% 25.99/17.35 (~v155(constB50)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26696, 24526, 26693])).
% 25.99/17.35 tff(26698,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB50)) | (~v141(constB50)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB50)) | (~v141(constB50)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26699,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB50)) | (~v141(constB50)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26700,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB50)) | (~v141(constB50))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26699, 26698])).
% 25.99/17.35 tff(26701,plain,
% 25.99/17.35 (~v141(constB50)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26700, 24291, 6198])).
% 25.99/17.35 tff(26702,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB50) | (~v154(constB50)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB50) | (~v154(constB50)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26703,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB50) | (~v154(constB50)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26704,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB50) | (~v154(constB50))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26703, 26702])).
% 25.99/17.35 tff(26705,plain,
% 25.99/17.35 (~v154(constB50)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26704, 24544, 26701])).
% 25.99/17.35 tff(26706,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB50) | (~v153(constB50)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB50) | (~v153(constB50)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26707,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB50) | (~v153(constB50)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26708,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB50) | (~v153(constB50))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26707, 26706])).
% 25.99/17.35 tff(26709,plain,
% 25.99/17.35 (~v153(constB50)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26708, 24558, 26705])).
% 25.99/17.35 tff(26710,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB50) | v155(constB50) | (~v150(constB50)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB50) | v155(constB50) | (~v150(constB50)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26711,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB50) | v155(constB50) | (~v150(constB50)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26712,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB50) | v155(constB50) | (~v150(constB50))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26711, 26710])).
% 25.99/17.35 tff(26713,plain,
% 25.99/17.35 (v155(constB50) | (~v150(constB50))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26712, 24496, 26709])).
% 25.99/17.35 tff(26714,plain,
% 25.99/17.35 (~v150(constB50)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26713, 26697])).
% 25.99/17.35 tff(26715,plain,
% 25.99/17.35 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB50, constB51)) | v150(constB50) | (~v152(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB50, constB51)) | v150(constB50) | (~v152(constB51)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26716,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB50, constB51)) | v150(constB50) | (~v152(constB51)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26717,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB50, constB51)) | v150(constB50) | (~v152(constB51))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26716, 26715])).
% 25.99/17.35 tff(26718,plain,
% 25.99/17.35 (v150(constB50) | (~v152(constB51))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26717, 24511, 6267])).
% 25.99/17.35 tff(26719,plain,
% 25.99/17.35 (~v152(constB51)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26718, 26714])).
% 25.99/17.35 tff(26720,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB51) | (~v164(constB51)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB51) | (~v164(constB51)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26721,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB51) | (~v164(constB51)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26722,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB51) | (~v164(constB51))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26721, 26720])).
% 25.99/17.35 tff(26723,plain,
% 25.99/17.35 (~v164(constB51)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26722, 24674, 26719])).
% 25.99/17.35 tff(26724,assumption,(v18(constB52)), introduced(assumption)).
% 25.99/17.35 tff(26725,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB52))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26726,plain,
% 25.99/17.35 ($false),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26725, 3012, 26724])).
% 25.99/17.35 tff(26727,plain,(~v18(constB52)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.35 tff(26728,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26729,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB52) | (~v1(constB52)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26730,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB52) | (~v1(constB52))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26729, 26728])).
% 25.99/17.35 tff(26731,plain,
% 25.99/17.35 (v22(constB52)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26730, 3028, 6438])).
% 25.99/17.35 tff(26732,plain,
% 25.99/17.35 (((~![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)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26733,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB52) | (~v22(constB52)) | (~v19(constB52)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26734,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB52) | (~v22(constB52)) | (~v19(constB52))),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26733, 26732])).
% 25.99/17.35 tff(26735,plain,
% 25.99/17.35 (v18(constB52) | (~v19(constB52))),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26734, 3042, 26731])).
% 25.99/17.35 tff(26736,plain,
% 25.99/17.35 (~v19(constB52)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26735, 26727])).
% 25.99/17.35 tff(26737,plain,
% 25.99/17.35 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26738,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB52) | v19(constB52))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26739,plain,
% 25.99/17.35 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB52) | v19(constB52)),
% 25.99/17.35 inference(modus_ponens,[status(thm)],[26738, 26737])).
% 25.99/17.35 tff(26740,plain,
% 25.99/17.35 (v13(constB52)),
% 25.99/17.35 inference(unit_resolution,[status(thm)],[26739, 3054, 26736])).
% 25.99/17.35 tff(26741,plain,
% 25.99/17.35 (((~![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)))),
% 25.99/17.35 inference(rewrite,[status(thm)],[])).
% 25.99/17.35 tff(26742,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52)))),
% 25.99/17.35 inference(quant_inst,[status(thm)],[])).
% 25.99/17.35 tff(26743,plain,
% 25.99/17.35 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB51) | (~v13(constB52)) | (~nextState(constB51, constB52))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26742, 26741])).
% 25.99/17.36 tff(26744,plain,
% 25.99/17.36 (v9(constB51) | (~v13(constB52))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26743, 3068, 6418])).
% 25.99/17.36 tff(26745,plain,
% 25.99/17.36 (v9(constB51)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26744, 26740])).
% 25.99/17.36 tff(26746,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v141(constB51))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB51) | (~v9(constB51)) | v141(constB51))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26747,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB51) | (~v9(constB51)) | v141(constB51))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26748,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB51) | (~v9(constB51)) | v141(constB51)),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26747, 26746])).
% 25.99/17.36 tff(26749,plain,
% 25.99/17.36 ((~v9(constB51)) | v141(constB51)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26748, 3083, 6264])).
% 25.99/17.36 tff(26750,plain,
% 25.99/17.36 (v141(constB51)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26749, 26745])).
% 25.99/17.36 tff(26751,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB51) | (~v141(constB51)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB51) | (~v141(constB51)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26752,plain,
% 25.99/17.36 (((~v141(constB51)) | v140(constB51)) <=> (v140(constB51) | (~v141(constB51)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26753,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB51)) | v140(constB51))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB51) | (~v141(constB51))))),
% 25.99/17.36 inference(monotonicity,[status(thm)],[26752])).
% 25.99/17.36 tff(26754,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB51)) | v140(constB51))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB51) | (~v141(constB51)))),
% 25.99/17.36 inference(transitivity,[status(thm)],[26753, 26751])).
% 25.99/17.36 tff(26755,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB51)) | v140(constB51))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26756,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB51) | (~v141(constB51))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26755, 26754])).
% 25.99/17.36 tff(26757,plain,
% 25.99/17.36 (v140(constB51)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26756, 24165, 26750])).
% 25.99/17.36 tff(26758,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB51)) | (~v163(constB51)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB51)) | (~v163(constB51)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26759,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB51)) | (~v163(constB51)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26760,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB51)) | (~v163(constB51))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26759, 26758])).
% 25.99/17.36 tff(26761,plain,
% 25.99/17.36 (~v163(constB51)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26760, 24179, 26757])).
% 25.99/17.36 tff(26762,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB51) | v164(constB51) | (~v160(constB51)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB51) | v164(constB51) | (~v160(constB51)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26763,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB51) | v164(constB51) | (~v160(constB51)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26764,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB51) | v164(constB51) | (~v160(constB51))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26763, 26762])).
% 25.99/17.36 tff(26765,plain,
% 25.99/17.36 (v164(constB51) | (~v160(constB51))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26764, 24688, 26761])).
% 25.99/17.36 tff(26766,plain,
% 25.99/17.36 (~v160(constB51)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26765, 26723])).
% 25.99/17.36 tff(26767,plain,
% 25.99/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB51, constB52)) | v160(constB51) | (~v162(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB51, constB52)) | v160(constB51) | (~v162(constB52)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26768,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB51, constB52)) | v160(constB51) | (~v162(constB52)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26769,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB51, constB52)) | v160(constB51) | (~v162(constB52))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26768, 26767])).
% 25.99/17.36 tff(26770,plain,
% 25.99/17.36 (v160(constB51) | (~v162(constB52))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26769, 24703, 6418])).
% 25.99/17.36 tff(26771,plain,
% 25.99/17.36 (~v162(constB52)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26770, 26766])).
% 25.99/17.36 tff(26772,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB52) | (~v163(constB52)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB52) | (~v163(constB52)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26773,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB52) | (~v163(constB52)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26774,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB52) | (~v163(constB52))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26773, 26772])).
% 25.99/17.36 tff(26775,plain,
% 25.99/17.36 (~v163(constB52)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26774, 24718, 26771])).
% 25.99/17.36 tff(26776,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB52)) | (~v141(constB52)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB52)) | (~v141(constB52)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26777,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB52)) | (~v141(constB52)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26778,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB52)) | (~v141(constB52))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26777, 26776])).
% 25.99/17.36 tff(26779,plain,
% 25.99/17.36 (~v141(constB52)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26778, 24291, 6438])).
% 25.99/17.36 tff(26780,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB52) | (~v154(constB52)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB52) | (~v154(constB52)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26781,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB52) | (~v154(constB52)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26782,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB52) | (~v154(constB52))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26781, 26780])).
% 25.99/17.36 tff(26783,plain,
% 25.99/17.36 (~v154(constB52)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26782, 24544, 26779])).
% 25.99/17.36 tff(26784,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB52) | (~v164(constB52)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB52) | (~v164(constB52)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26785,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB52) | (~v164(constB52)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26786,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB52) | (~v164(constB52))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26785, 26784])).
% 25.99/17.36 tff(26787,plain,
% 25.99/17.36 (~v164(constB52)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26786, 24740, 26783])).
% 25.99/17.36 tff(26788,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB52) | v164(constB52) | (~v160(constB52)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB52) | v164(constB52) | (~v160(constB52)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26789,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB52) | v164(constB52) | (~v160(constB52)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26790,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB52) | v164(constB52) | (~v160(constB52))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26789, 26788])).
% 25.99/17.36 tff(26791,plain,
% 25.99/17.36 (v163(constB52) | (~v160(constB52))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26790, 24688, 26787])).
% 25.99/17.36 tff(26792,plain,
% 25.99/17.36 (~v160(constB52)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26791, 26775])).
% 25.99/17.36 tff(26793,plain,
% 25.99/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB52, constB53)) | v160(constB52) | (~v162(constB53)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB52, constB53)) | v160(constB52) | (~v162(constB53)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26794,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB52, constB53)) | v160(constB52) | (~v162(constB53)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26795,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB52, constB53)) | v160(constB52) | (~v162(constB53))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26794, 26793])).
% 25.99/17.36 tff(26796,plain,
% 25.99/17.36 (v160(constB52) | (~v162(constB53))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26795, 24703, 6480])).
% 25.99/17.36 tff(26797,plain,
% 25.99/17.36 (~v162(constB53)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26796, 26792])).
% 25.99/17.36 tff(26798,plain,
% 25.99/17.36 ($false),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26797, 26558])).
% 25.99/17.36 tff(26799,plain,(~(constB53 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.36 tff(26800,assumption,(constB183 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.36 tff(26801,plain,
% 25.99/17.36 (v162(constB183) <=> v162(sK0_VarCurr)),
% 25.99/17.36 inference(monotonicity,[status(thm)],[26800])).
% 25.99/17.36 tff(26802,plain,
% 25.99/17.36 (v162(sK0_VarCurr) <=> v162(constB183)),
% 25.99/17.36 inference(symmetry,[status(thm)],[26801])).
% 25.99/17.36 tff(26803,plain,
% 25.99/17.36 (v162(constB183)),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[24130, 26802])).
% 25.99/17.36 tff(26804,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB177)) | (~v84(constB177, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB177)) | (~v84(constB177, bitIndex2)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26805,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB177)) | (~v84(constB177, bitIndex2)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26806,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB177)) | (~v84(constB177, bitIndex2))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26805, 26804])).
% 25.99/17.36 tff(26807,plain,
% 25.99/17.36 (~v145(constB177)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26806, 16179, 21734])).
% 25.99/17.36 tff(26808,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB177) | (~v144(constB177)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB177) | (~v144(constB177)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26809,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB177) | (~v144(constB177)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26810,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB177) | (~v144(constB177))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26809, 26808])).
% 25.99/17.36 tff(26811,plain,
% 25.99/17.36 (~v144(constB177)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26810, 2971, 26807])).
% 25.99/17.36 tff(26812,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB177) | (~v142(constB177)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB177) | (~v142(constB177)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26813,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB177) | (~v142(constB177)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26814,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB177) | (~v142(constB177))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26813, 26812])).
% 25.99/17.36 tff(26815,plain,
% 25.99/17.36 (~v142(constB177)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26814, 2985, 26811])).
% 25.99/17.36 tff(26816,assumption,(v18(constB178)), introduced(assumption)).
% 25.99/17.36 tff(26817,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB178))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26818,plain,
% 25.99/17.36 ($false),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26817, 3012, 26816])).
% 25.99/17.36 tff(26819,plain,(~v18(constB178)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.36 tff(26820,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26821,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB178) | (~v1(constB178)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26822,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB178) | (~v1(constB178))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26821, 26820])).
% 25.99/17.36 tff(26823,plain,
% 25.99/17.36 (v22(constB178)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26822, 3028, 21864])).
% 25.99/17.36 tff(26824,plain,
% 25.99/17.36 (((~![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)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26825,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB178) | (~v22(constB178)) | (~v19(constB178)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26826,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB178) | (~v22(constB178)) | (~v19(constB178))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 25.99/17.36 tff(26827,plain,
% 25.99/17.36 (v18(constB178) | (~v19(constB178))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26826, 3042, 26823])).
% 25.99/17.36 tff(26828,plain,
% 25.99/17.36 (~v19(constB178)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26827, 26819])).
% 25.99/17.36 tff(26829,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26830,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB178) | v19(constB178))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26831,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB178) | v19(constB178)),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26830, 26829])).
% 25.99/17.36 tff(26832,plain,
% 25.99/17.36 (v13(constB178)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26831, 3054, 26828])).
% 25.99/17.36 tff(26833,plain,
% 25.99/17.36 (((~![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)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26834,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26835,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB177) | (~v13(constB178)) | (~nextState(constB177, constB178))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26834, 26833])).
% 25.99/17.36 tff(26836,plain,
% 25.99/17.36 (v9(constB177) | (~v13(constB178))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26835, 3068, 21844])).
% 25.99/17.36 tff(26837,plain,
% 25.99/17.36 (v9(constB177)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26836, 26832])).
% 25.99/17.36 tff(26838,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v141(constB177))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB177) | (~v9(constB177)) | v141(constB177))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26839,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB177) | (~v9(constB177)) | v141(constB177))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26840,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB177) | (~v9(constB177)) | v141(constB177)),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26839, 26838])).
% 25.99/17.36 tff(26841,plain,
% 25.99/17.36 ((~v9(constB177)) | v141(constB177)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26840, 3083, 21710])).
% 25.99/17.36 tff(26842,plain,
% 25.99/17.36 (v141(constB177)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26841, 26837])).
% 25.99/17.36 tff(26843,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB177)) | v140(constB177))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB177)) | v140(constB177))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26844,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB177)) | v140(constB177))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26845,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB177)) | v140(constB177)),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26844, 26843])).
% 25.99/17.36 tff(26846,plain,
% 25.99/17.36 (v140(constB177)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26845, 24165, 26842])).
% 25.99/17.36 tff(26847,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB177)) | (~v140(constB177)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB177)) | (~v140(constB177)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26848,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB177)) | (~v140(constB177)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26849,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB177)) | (~v140(constB177))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26848, 26847])).
% 25.99/17.36 tff(26850,plain,
% 25.99/17.36 (~v138(constB177)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26849, 24221, 26846])).
% 25.99/17.36 tff(26851,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB177) | v142(constB177) | (~v135(constB177)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB177) | v142(constB177) | (~v135(constB177)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26852,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB177) | v142(constB177) | (~v135(constB177)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26853,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB177) | v142(constB177) | (~v135(constB177))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26852, 26851])).
% 25.99/17.36 tff(26854,plain,
% 25.99/17.36 (v142(constB177) | (~v135(constB177))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26853, 24247, 26850])).
% 25.99/17.36 tff(26855,plain,
% 25.99/17.36 (~v135(constB177)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26854, 26815])).
% 25.99/17.36 tff(26856,plain,
% 25.99/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB177, constB178)) | v135(constB177) | (~v137(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB177, constB178)) | v135(constB177) | (~v137(constB178)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26857,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB177, constB178)) | v135(constB177) | (~v137(constB178)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26858,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB177, constB178)) | v135(constB177) | (~v137(constB178))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26857, 26856])).
% 25.99/17.36 tff(26859,plain,
% 25.99/17.36 (v135(constB177) | (~v137(constB178))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26858, 24262, 21844])).
% 25.99/17.36 tff(26860,plain,
% 25.99/17.36 (~v137(constB178)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26859, 26855])).
% 25.99/17.36 tff(26861,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB178) | (~v138(constB178)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB178) | (~v138(constB178)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26862,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB178) | (~v138(constB178)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26863,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB178) | (~v138(constB178))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26862, 26861])).
% 25.99/17.36 tff(26864,plain,
% 25.99/17.36 (~v138(constB178)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26863, 24277, 26860])).
% 25.99/17.36 tff(26865,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB178)) | (~v141(constB178)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB178)) | (~v141(constB178)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26866,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB178)) | (~v141(constB178)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26867,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB178)) | (~v141(constB178))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26866, 26865])).
% 25.99/17.36 tff(26868,plain,
% 25.99/17.36 (~v141(constB178)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26867, 24291, 21864])).
% 25.99/17.36 tff(26869,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB178) | (~v144(constB178)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB178) | (~v144(constB178)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26870,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB178) | (~v144(constB178)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26871,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB178) | (~v144(constB178))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26870, 26869])).
% 25.99/17.36 tff(26872,plain,
% 25.99/17.36 (~v144(constB178)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26871, 24305, 26868])).
% 25.99/17.36 tff(26873,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB178) | (~v142(constB178)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB178) | (~v142(constB178)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26874,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB178) | (~v142(constB178)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26875,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB178) | (~v142(constB178))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26874, 26873])).
% 25.99/17.36 tff(26876,plain,
% 25.99/17.36 (~v142(constB178)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26875, 2985, 26872])).
% 25.99/17.36 tff(26877,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB178) | v142(constB178) | (~v135(constB178)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB178) | v142(constB178) | (~v135(constB178)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26878,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB178) | v142(constB178) | (~v135(constB178)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26879,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB178) | v142(constB178) | (~v135(constB178))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26878, 26877])).
% 25.99/17.36 tff(26880,plain,
% 25.99/17.36 (v138(constB178) | (~v135(constB178))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26879, 24247, 26876])).
% 25.99/17.36 tff(26881,plain,
% 25.99/17.36 (~v135(constB178)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26880, 26864])).
% 25.99/17.36 tff(26882,plain,
% 25.99/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB178, constB179)) | v135(constB178) | (~v137(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB178, constB179)) | v135(constB178) | (~v137(constB179)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26883,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB178, constB179)) | v135(constB178) | (~v137(constB179)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26884,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB178, constB179)) | v135(constB178) | (~v137(constB179))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26883, 26882])).
% 25.99/17.36 tff(26885,plain,
% 25.99/17.36 (v135(constB178) | (~v137(constB179))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26884, 24262, 21906])).
% 25.99/17.36 tff(26886,plain,
% 25.99/17.36 (~v137(constB179)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26885, 26881])).
% 25.99/17.36 tff(26887,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB179) | (~v153(constB179)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB179) | (~v153(constB179)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26888,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB179) | (~v153(constB179)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26889,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB179) | (~v153(constB179))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26888, 26887])).
% 25.99/17.36 tff(26890,plain,
% 25.99/17.36 (~v153(constB179)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26889, 24437, 26886])).
% 25.99/17.36 tff(26891,assumption,(v18(constB180)), introduced(assumption)).
% 25.99/17.36 tff(26892,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB180))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26893,plain,
% 25.99/17.36 ($false),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26892, 3012, 26891])).
% 25.99/17.36 tff(26894,plain,(~v18(constB180)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.36 tff(26895,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26896,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB180) | (~v1(constB180)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26897,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB180) | (~v1(constB180))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26896, 26895])).
% 25.99/17.36 tff(26898,plain,
% 25.99/17.36 (v22(constB180)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26897, 3028, 22135])).
% 25.99/17.36 tff(26899,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB180) | (~v22(constB180)) | (~v19(constB180)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB180) | (~v22(constB180)) | (~v19(constB180)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26900,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB180) | (~v22(constB180)) | (~v19(constB180)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26901,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB180) | (~v22(constB180)) | (~v19(constB180))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26900, 26899])).
% 25.99/17.36 tff(26902,plain,
% 25.99/17.36 (v18(constB180) | (~v19(constB180))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26901, 3042, 26898])).
% 25.99/17.36 tff(26903,plain,
% 25.99/17.36 (~v19(constB180)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26902, 26894])).
% 25.99/17.36 tff(26904,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26905,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB180) | v19(constB180))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26906,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB180) | v19(constB180)),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26905, 26904])).
% 25.99/17.36 tff(26907,plain,
% 25.99/17.36 (v13(constB180)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26906, 3054, 26903])).
% 25.99/17.36 tff(26908,plain,
% 25.99/17.36 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26909,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26910,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB179) | (~v13(constB180)) | (~nextState(constB179, constB180))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26909, 26908])).
% 25.99/17.36 tff(26911,plain,
% 25.99/17.36 (v9(constB179) | (~v13(constB180))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26910, 3068, 22115])).
% 25.99/17.36 tff(26912,plain,
% 25.99/17.36 (v9(constB179)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26911, 26907])).
% 25.99/17.36 tff(26913,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v141(constB179))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB179) | (~v9(constB179)) | v141(constB179))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26914,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB179) | (~v9(constB179)) | v141(constB179))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26915,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB179) | (~v9(constB179)) | v141(constB179)),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26914, 26913])).
% 25.99/17.36 tff(26916,plain,
% 25.99/17.36 ((~v9(constB179)) | v141(constB179)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26915, 3083, 21903])).
% 25.99/17.36 tff(26917,plain,
% 25.99/17.36 (v141(constB179)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26916, 26912])).
% 25.99/17.36 tff(26918,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB179) | (~v141(constB179)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB179) | (~v141(constB179)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26919,plain,
% 25.99/17.36 (((~v141(constB179)) | v140(constB179)) <=> (v140(constB179) | (~v141(constB179)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26920,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB179)) | v140(constB179))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB179) | (~v141(constB179))))),
% 25.99/17.36 inference(monotonicity,[status(thm)],[26919])).
% 25.99/17.36 tff(26921,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB179)) | v140(constB179))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB179) | (~v141(constB179)))),
% 25.99/17.36 inference(transitivity,[status(thm)],[26920, 26918])).
% 25.99/17.36 tff(26922,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB179)) | v140(constB179))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26923,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB179) | (~v141(constB179))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26922, 26921])).
% 25.99/17.36 tff(26924,plain,
% 25.99/17.36 (v140(constB179)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26923, 24165, 26917])).
% 25.99/17.36 tff(26925,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB179)) | (~v155(constB179)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB179)) | (~v155(constB179)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26926,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB179)) | (~v155(constB179)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26927,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB179)) | (~v155(constB179))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26926, 26925])).
% 25.99/17.36 tff(26928,plain,
% 25.99/17.36 (~v155(constB179)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26927, 24482, 26924])).
% 25.99/17.36 tff(26929,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB179) | v155(constB179) | (~v150(constB179)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB179) | v155(constB179) | (~v150(constB179)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26930,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB179) | v155(constB179) | (~v150(constB179)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26931,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB179) | v155(constB179) | (~v150(constB179))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26930, 26929])).
% 25.99/17.36 tff(26932,plain,
% 25.99/17.36 (v153(constB179) | (~v150(constB179))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26931, 24496, 26928])).
% 25.99/17.36 tff(26933,plain,
% 25.99/17.36 (~v150(constB179)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26932, 26890])).
% 25.99/17.36 tff(26934,plain,
% 25.99/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB179, constB180)) | v150(constB179) | (~v152(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB179, constB180)) | v150(constB179) | (~v152(constB180)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26935,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB179, constB180)) | v150(constB179) | (~v152(constB180)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26936,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB179, constB180)) | v150(constB179) | (~v152(constB180))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26935, 26934])).
% 25.99/17.36 tff(26937,plain,
% 25.99/17.36 (v150(constB179) | (~v152(constB180))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26936, 24511, 22115])).
% 25.99/17.36 tff(26938,plain,
% 25.99/17.36 (~v152(constB180)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26937, 26933])).
% 25.99/17.36 tff(26939,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB180) | (~v155(constB180)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB180) | (~v155(constB180)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26940,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB180) | (~v155(constB180)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26941,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB180) | (~v155(constB180))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26940, 26939])).
% 25.99/17.36 tff(26942,plain,
% 25.99/17.36 (~v155(constB180)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26941, 24526, 26938])).
% 25.99/17.36 tff(26943,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB180)) | (~v141(constB180)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB180)) | (~v141(constB180)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26944,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB180)) | (~v141(constB180)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26945,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB180)) | (~v141(constB180))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26944, 26943])).
% 25.99/17.36 tff(26946,plain,
% 25.99/17.36 (~v141(constB180)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26945, 24291, 22135])).
% 25.99/17.36 tff(26947,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB180) | (~v154(constB180)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB180) | (~v154(constB180)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26948,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB180) | (~v154(constB180)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26949,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB180) | (~v154(constB180))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26948, 26947])).
% 25.99/17.36 tff(26950,plain,
% 25.99/17.36 (~v154(constB180)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26949, 24544, 26946])).
% 25.99/17.36 tff(26951,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB180) | (~v153(constB180)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB180) | (~v153(constB180)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26952,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB180) | (~v153(constB180)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26953,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB180) | (~v153(constB180))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26952, 26951])).
% 25.99/17.36 tff(26954,plain,
% 25.99/17.36 (~v153(constB180)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26953, 24558, 26950])).
% 25.99/17.36 tff(26955,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB180) | v155(constB180) | (~v150(constB180)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB180) | v155(constB180) | (~v150(constB180)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26956,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB180) | v155(constB180) | (~v150(constB180)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26957,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB180) | v155(constB180) | (~v150(constB180))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26956, 26955])).
% 25.99/17.36 tff(26958,plain,
% 25.99/17.36 (v155(constB180) | (~v150(constB180))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26957, 24496, 26954])).
% 25.99/17.36 tff(26959,plain,
% 25.99/17.36 (~v150(constB180)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26958, 26942])).
% 25.99/17.36 tff(26960,plain,
% 25.99/17.36 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB180, constB181)) | v150(constB180) | (~v152(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB180, constB181)) | v150(constB180) | (~v152(constB181)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26961,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB180, constB181)) | v150(constB180) | (~v152(constB181)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26962,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB180, constB181)) | v150(constB180) | (~v152(constB181))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26961, 26960])).
% 25.99/17.36 tff(26963,plain,
% 25.99/17.36 (v150(constB180) | (~v152(constB181))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26962, 24511, 22177])).
% 25.99/17.36 tff(26964,plain,
% 25.99/17.36 (~v152(constB181)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26963, 26959])).
% 25.99/17.36 tff(26965,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB181) | (~v164(constB181)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB181) | (~v164(constB181)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26966,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB181) | (~v164(constB181)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26967,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB181) | (~v164(constB181))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26966, 26965])).
% 25.99/17.36 tff(26968,plain,
% 25.99/17.36 (~v164(constB181)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26967, 24674, 26964])).
% 25.99/17.36 tff(26969,assumption,(v18(constB182)), introduced(assumption)).
% 25.99/17.36 tff(26970,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB182))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26971,plain,
% 25.99/17.36 ($false),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26970, 3012, 26969])).
% 25.99/17.36 tff(26972,plain,(~v18(constB182)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.36 tff(26973,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26974,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB182) | (~v1(constB182)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26975,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB182) | (~v1(constB182))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26974, 26973])).
% 25.99/17.36 tff(26976,plain,
% 25.99/17.36 (v22(constB182)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26975, 3028, 23170])).
% 25.99/17.36 tff(26977,plain,
% 25.99/17.36 (((~![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)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26978,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB182) | (~v22(constB182)) | (~v19(constB182)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26979,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB182) | (~v22(constB182)) | (~v19(constB182))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26978, 26977])).
% 25.99/17.36 tff(26980,plain,
% 25.99/17.36 (v18(constB182) | (~v19(constB182))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26979, 3042, 26976])).
% 25.99/17.36 tff(26981,plain,
% 25.99/17.36 (~v19(constB182)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26980, 26972])).
% 25.99/17.36 tff(26982,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26983,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB182) | v19(constB182))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26984,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB182) | v19(constB182)),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26983, 26982])).
% 25.99/17.36 tff(26985,plain,
% 25.99/17.36 (v13(constB182)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26984, 3054, 26981])).
% 25.99/17.36 tff(26986,plain,
% 25.99/17.36 (((~![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)))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26987,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182)))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26988,plain,
% 25.99/17.36 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB181) | (~v13(constB182)) | (~nextState(constB181, constB182))),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26987, 26986])).
% 25.99/17.36 tff(26989,plain,
% 25.99/17.36 (v9(constB181) | (~v13(constB182))),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26988, 3068, 22275])).
% 25.99/17.36 tff(26990,plain,
% 25.99/17.36 (v9(constB181)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26989, 26985])).
% 25.99/17.36 tff(26991,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v141(constB181))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB181) | (~v9(constB181)) | v141(constB181))),
% 25.99/17.36 inference(rewrite,[status(thm)],[])).
% 25.99/17.36 tff(26992,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB181) | (~v9(constB181)) | v141(constB181))),
% 25.99/17.36 inference(quant_inst,[status(thm)],[])).
% 25.99/17.36 tff(26993,plain,
% 25.99/17.36 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB181) | (~v9(constB181)) | v141(constB181)),
% 25.99/17.36 inference(modus_ponens,[status(thm)],[26992, 26991])).
% 25.99/17.36 tff(26994,plain,
% 25.99/17.36 ((~v9(constB181)) | v141(constB181)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26993, 3083, 22174])).
% 25.99/17.36 tff(26995,plain,
% 25.99/17.36 (v141(constB181)),
% 25.99/17.36 inference(unit_resolution,[status(thm)],[26994, 26990])).
% 25.99/17.36 tff(26996,plain,
% 25.99/17.36 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB181)) | v140(constB181))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB181)) | v140(constB181))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(26997,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB181)) | v140(constB181))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(26998,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB181)) | v140(constB181)),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[26997, 26996])).
% 25.99/17.37 tff(26999,plain,
% 25.99/17.37 (v140(constB181)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[26998, 24165, 26995])).
% 25.99/17.37 tff(27000,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB181)) | (~v163(constB181)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB181)) | (~v163(constB181)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27001,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB181)) | (~v163(constB181)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27002,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB181)) | (~v163(constB181))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27001, 27000])).
% 25.99/17.37 tff(27003,plain,
% 25.99/17.37 (~v163(constB181)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27002, 24179, 26999])).
% 25.99/17.37 tff(27004,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB181) | v164(constB181) | (~v160(constB181)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB181) | v164(constB181) | (~v160(constB181)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27005,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB181) | v164(constB181) | (~v160(constB181)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27006,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB181) | v164(constB181) | (~v160(constB181))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27005, 27004])).
% 25.99/17.37 tff(27007,plain,
% 25.99/17.37 (v164(constB181) | (~v160(constB181))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27006, 24688, 27003])).
% 25.99/17.37 tff(27008,plain,
% 25.99/17.37 (~v160(constB181)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27007, 26968])).
% 25.99/17.37 tff(27009,plain,
% 25.99/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB181, constB182)) | v160(constB181) | (~v162(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB181, constB182)) | v160(constB181) | (~v162(constB182)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27010,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB181, constB182)) | v160(constB181) | (~v162(constB182)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27011,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB181, constB182)) | v160(constB181) | (~v162(constB182))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27010, 27009])).
% 25.99/17.37 tff(27012,plain,
% 25.99/17.37 (v160(constB181) | (~v162(constB182))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27011, 24703, 22275])).
% 25.99/17.37 tff(27013,plain,
% 25.99/17.37 (~v162(constB182)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27012, 27008])).
% 25.99/17.37 tff(27014,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB182) | (~v163(constB182)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB182) | (~v163(constB182)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27015,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB182) | (~v163(constB182)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27016,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB182) | (~v163(constB182))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27015, 27014])).
% 25.99/17.37 tff(27017,plain,
% 25.99/17.37 (~v163(constB182)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27016, 24718, 27013])).
% 25.99/17.37 tff(27018,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB182)) | (~v141(constB182)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB182)) | (~v141(constB182)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27019,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB182)) | (~v141(constB182)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27020,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB182)) | (~v141(constB182))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27019, 27018])).
% 25.99/17.37 tff(27021,plain,
% 25.99/17.37 (~v141(constB182)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27020, 24291, 23170])).
% 25.99/17.37 tff(27022,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB182) | (~v154(constB182)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB182) | (~v154(constB182)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27023,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB182) | (~v154(constB182)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27024,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB182) | (~v154(constB182))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27023, 27022])).
% 25.99/17.37 tff(27025,plain,
% 25.99/17.37 (~v154(constB182)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27024, 24544, 27021])).
% 25.99/17.37 tff(27026,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB182) | (~v164(constB182)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB182) | (~v164(constB182)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27027,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB182) | (~v164(constB182)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27028,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB182) | (~v164(constB182))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27027, 27026])).
% 25.99/17.37 tff(27029,plain,
% 25.99/17.37 (~v164(constB182)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27028, 24740, 27025])).
% 25.99/17.37 tff(27030,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB182) | v164(constB182) | (~v160(constB182)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB182) | v164(constB182) | (~v160(constB182)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27031,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB182) | v164(constB182) | (~v160(constB182)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27032,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB182) | v164(constB182) | (~v160(constB182))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27031, 27030])).
% 25.99/17.37 tff(27033,plain,
% 25.99/17.37 (v163(constB182) | (~v160(constB182))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27032, 24688, 27029])).
% 25.99/17.37 tff(27034,plain,
% 25.99/17.37 (~v160(constB182)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27033, 27017])).
% 25.99/17.37 tff(27035,plain,
% 25.99/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB182, constB183)) | v160(constB182) | (~v162(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB182, constB183)) | v160(constB182) | (~v162(constB183)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27036,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB182, constB183)) | v160(constB182) | (~v162(constB183)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27037,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB182, constB183)) | v160(constB182) | (~v162(constB183))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27036, 27035])).
% 25.99/17.37 tff(27038,plain,
% 25.99/17.37 (v160(constB182) | (~v162(constB183))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27037, 24703, 23195])).
% 25.99/17.37 tff(27039,plain,
% 25.99/17.37 (~v162(constB183)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27038, 27034])).
% 25.99/17.37 tff(27040,plain,
% 25.99/17.37 ($false),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27039, 26803])).
% 25.99/17.37 tff(27041,plain,(~(constB183 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.37 tff(27042,assumption,(constB39 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.37 tff(27043,plain,
% 25.99/17.37 (v162(constB39) <=> v162(sK0_VarCurr)),
% 25.99/17.37 inference(monotonicity,[status(thm)],[27042])).
% 25.99/17.37 tff(27044,plain,
% 25.99/17.37 (v162(sK0_VarCurr) <=> v162(constB39)),
% 25.99/17.37 inference(symmetry,[status(thm)],[27043])).
% 25.99/17.37 tff(27045,plain,
% 25.99/17.37 (v162(constB39)),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[24130, 27044])).
% 25.99/17.37 tff(27046,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB33)) | (~v84(constB33, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB33)) | (~v84(constB33, bitIndex2)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27047,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB33)) | (~v84(constB33, bitIndex2)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27048,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB33)) | (~v84(constB33, bitIndex2))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27047, 27046])).
% 25.99/17.37 tff(27049,plain,
% 25.99/17.37 (~v145(constB33)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27048, 16179, 4241])).
% 25.99/17.37 tff(27050,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB33) | (~v144(constB33)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB33) | (~v144(constB33)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27051,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB33) | (~v144(constB33)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27052,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB33) | (~v144(constB33))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27051, 27050])).
% 25.99/17.37 tff(27053,plain,
% 25.99/17.37 (~v144(constB33)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27052, 2971, 27049])).
% 25.99/17.37 tff(27054,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB33) | (~v142(constB33)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB33) | (~v142(constB33)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27055,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB33) | (~v142(constB33)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27056,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB33) | (~v142(constB33))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27055, 27054])).
% 25.99/17.37 tff(27057,plain,
% 25.99/17.37 (~v142(constB33)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27056, 2985, 27053])).
% 25.99/17.37 tff(27058,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB31)) | (~v84(constB31, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB31)) | (~v84(constB31, bitIndex1)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27059,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB31)) | (~v84(constB31, bitIndex1)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27060,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB31)) | (~v84(constB31, bitIndex1))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27059, 27058])).
% 25.99/17.37 tff(27061,plain,
% 25.99/17.37 (~v145(constB31)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27060, 2018, 4082])).
% 25.99/17.37 tff(27062,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB31) | (~v144(constB31)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB31) | (~v144(constB31)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27063,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB31) | (~v144(constB31)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27064,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB31) | (~v144(constB31))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27063, 27062])).
% 25.99/17.37 tff(27065,plain,
% 25.99/17.37 (~v144(constB31)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27064, 2971, 27061])).
% 25.99/17.37 tff(27066,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB31) | (~v142(constB31)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB31) | (~v142(constB31)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27067,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB31) | (~v142(constB31)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27068,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB31) | (~v142(constB31))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27067, 27066])).
% 25.99/17.37 tff(27069,plain,
% 25.99/17.37 (~v142(constB31)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27068, 2985, 27065])).
% 25.99/17.37 tff(27070,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB31)) | (~v140(constB31)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB31)) | (~v140(constB31)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27071,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB31)) | (~v140(constB31)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27072,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB31)) | (~v140(constB31))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27071, 27070])).
% 25.99/17.37 tff(27073,plain,
% 25.99/17.37 (~v138(constB31)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27072, 24221, 25913])).
% 25.99/17.37 tff(27074,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB31) | v142(constB31) | (~v135(constB31)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB31) | v142(constB31) | (~v135(constB31)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27075,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB31) | v142(constB31) | (~v135(constB31)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27076,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB31) | v142(constB31) | (~v135(constB31))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27075, 27074])).
% 25.99/17.37 tff(27077,plain,
% 25.99/17.37 (v142(constB31) | (~v135(constB31))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27076, 24247, 27073])).
% 25.99/17.37 tff(27078,plain,
% 25.99/17.37 (~v135(constB31)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27077, 27069])).
% 25.99/17.37 tff(27079,plain,
% 25.99/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27080,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27081,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB31, constB32)) | v135(constB31) | (~v137(constB32))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27080, 27079])).
% 25.99/17.37 tff(27082,plain,
% 25.99/17.37 (v135(constB31) | (~v137(constB32))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27081, 24262, 4158])).
% 25.99/17.37 tff(27083,plain,
% 25.99/17.37 (~v137(constB32)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27082, 27078])).
% 25.99/17.37 tff(27084,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB32) | (~v138(constB32)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB32) | (~v138(constB32)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27085,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB32) | (~v138(constB32)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27086,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB32) | (~v138(constB32))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27085, 27084])).
% 25.99/17.37 tff(27087,plain,
% 25.99/17.37 (~v138(constB32)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27086, 24277, 27083])).
% 25.99/17.37 tff(27088,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB32) | (~v144(constB32)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB32) | (~v144(constB32)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27089,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB32) | (~v144(constB32)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27090,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB32) | (~v144(constB32))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27089, 27088])).
% 25.99/17.37 tff(27091,plain,
% 25.99/17.37 (~v144(constB32)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27090, 24305, 25935])).
% 25.99/17.37 tff(27092,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB32) | (~v142(constB32)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB32) | (~v142(constB32)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27093,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB32) | (~v142(constB32)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27094,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB32) | (~v142(constB32))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27093, 27092])).
% 25.99/17.37 tff(27095,plain,
% 25.99/17.37 (~v142(constB32)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27094, 2985, 27091])).
% 25.99/17.37 tff(27096,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB32) | v142(constB32) | (~v135(constB32)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB32) | v142(constB32) | (~v135(constB32)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27097,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB32) | v142(constB32) | (~v135(constB32)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27098,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB32) | v142(constB32) | (~v135(constB32))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27097, 27096])).
% 25.99/17.37 tff(27099,plain,
% 25.99/17.37 (v138(constB32) | (~v135(constB32))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27098, 24247, 27095])).
% 25.99/17.37 tff(27100,plain,
% 25.99/17.37 (~v135(constB32)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27099, 27087])).
% 25.99/17.37 tff(27101,plain,
% 25.99/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27102,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27103,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB32, constB33)) | v135(constB32) | (~v137(constB33))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27102, 27101])).
% 25.99/17.37 tff(27104,plain,
% 25.99/17.37 (v135(constB32) | (~v137(constB33))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27103, 24262, 4220])).
% 25.99/17.37 tff(27105,plain,
% 25.99/17.37 (~v137(constB33)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27104, 27100])).
% 25.99/17.37 tff(27106,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB33) | (~v138(constB33)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB33) | (~v138(constB33)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27107,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB33) | (~v138(constB33)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27108,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB33) | (~v138(constB33))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27107, 27106])).
% 25.99/17.37 tff(27109,plain,
% 25.99/17.37 (~v138(constB33)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27108, 24277, 27105])).
% 25.99/17.37 tff(27110,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB33) | v142(constB33) | (~v135(constB33)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB33) | v142(constB33) | (~v135(constB33)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27111,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB33) | v142(constB33) | (~v135(constB33)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27112,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB33) | v142(constB33) | (~v135(constB33))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27111, 27110])).
% 25.99/17.37 tff(27113,plain,
% 25.99/17.37 (v142(constB33) | (~v135(constB33))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27112, 24247, 27109])).
% 25.99/17.37 tff(27114,plain,
% 25.99/17.37 (~v135(constB33)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27113, 27057])).
% 25.99/17.37 tff(27115,plain,
% 25.99/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27116,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27117,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB33, constB34)) | v135(constB33) | (~v137(constB34))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27116, 27115])).
% 25.99/17.37 tff(27118,plain,
% 25.99/17.37 (v135(constB33) | (~v137(constB34))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27117, 24262, 4350])).
% 25.99/17.37 tff(27119,plain,
% 25.99/17.37 (~v137(constB34)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27118, 27114])).
% 25.99/17.37 tff(27120,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB34) | (~v138(constB34)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB34) | (~v138(constB34)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27121,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB34) | (~v138(constB34)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27122,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB34) | (~v138(constB34))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27121, 27120])).
% 25.99/17.37 tff(27123,plain,
% 25.99/17.37 (~v138(constB34)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27122, 24277, 27119])).
% 25.99/17.37 tff(27124,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB34) | (~v144(constB34)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB34) | (~v144(constB34)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27125,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB34) | (~v144(constB34)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27126,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB34) | (~v144(constB34))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27125, 27124])).
% 25.99/17.37 tff(27127,plain,
% 25.99/17.37 (~v144(constB34)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27126, 24305, 25975])).
% 25.99/17.37 tff(27128,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB34) | (~v142(constB34)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB34) | (~v142(constB34)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27129,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB34) | (~v142(constB34)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27130,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB34) | (~v142(constB34))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27129, 27128])).
% 25.99/17.37 tff(27131,plain,
% 25.99/17.37 (~v142(constB34)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27130, 2985, 27127])).
% 25.99/17.37 tff(27132,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB34) | v142(constB34) | (~v135(constB34)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB34) | v142(constB34) | (~v135(constB34)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27133,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB34) | v142(constB34) | (~v135(constB34)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27134,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB34) | v142(constB34) | (~v135(constB34))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27133, 27132])).
% 25.99/17.37 tff(27135,plain,
% 25.99/17.37 (v138(constB34) | (~v135(constB34))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27134, 24247, 27131])).
% 25.99/17.37 tff(27136,plain,
% 25.99/17.37 (~v135(constB34)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27135, 27123])).
% 25.99/17.37 tff(27137,plain,
% 25.99/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27138,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27139,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB34, constB35)) | v135(constB34) | (~v137(constB35))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27138, 27137])).
% 25.99/17.37 tff(27140,plain,
% 25.99/17.37 (v135(constB34) | (~v137(constB35))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27139, 24262, 4412])).
% 25.99/17.37 tff(27141,plain,
% 25.99/17.37 (~v137(constB35)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27140, 27136])).
% 25.99/17.37 tff(27142,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB35) | (~v153(constB35)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB35) | (~v153(constB35)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27143,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB35) | (~v153(constB35)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27144,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB35) | (~v153(constB35))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27143, 27142])).
% 25.99/17.37 tff(27145,plain,
% 25.99/17.37 (~v153(constB35)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27144, 24437, 27141])).
% 25.99/17.37 tff(27146,assumption,(v18(constB36)), introduced(assumption)).
% 25.99/17.37 tff(27147,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB36))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27148,plain,
% 25.99/17.37 ($false),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27147, 3012, 27146])).
% 25.99/17.37 tff(27149,plain,(~v18(constB36)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.37 tff(27150,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27151,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB36) | (~v1(constB36)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27152,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB36) | (~v1(constB36))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27151, 27150])).
% 25.99/17.37 tff(27153,plain,
% 25.99/17.37 (v22(constB36)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27152, 3028, 4660])).
% 25.99/17.37 tff(27154,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB36) | (~v22(constB36)) | (~v19(constB36)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB36) | (~v22(constB36)) | (~v19(constB36)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27155,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB36) | (~v22(constB36)) | (~v19(constB36)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27156,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB36) | (~v22(constB36)) | (~v19(constB36))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27155, 27154])).
% 25.99/17.37 tff(27157,plain,
% 25.99/17.37 (v18(constB36) | (~v19(constB36))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27156, 3042, 27153])).
% 25.99/17.37 tff(27158,plain,
% 25.99/17.37 (~v19(constB36)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27157, 27149])).
% 25.99/17.37 tff(27159,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27160,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB36) | v19(constB36))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27161,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB36) | v19(constB36)),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27160, 27159])).
% 25.99/17.37 tff(27162,plain,
% 25.99/17.37 (v13(constB36)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27161, 3054, 27158])).
% 25.99/17.37 tff(27163,plain,
% 25.99/17.37 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27164,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27165,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB35) | (~v13(constB36)) | (~nextState(constB35, constB36))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27164, 27163])).
% 25.99/17.37 tff(27166,plain,
% 25.99/17.37 (v9(constB35) | (~v13(constB36))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27165, 3068, 4514])).
% 25.99/17.37 tff(27167,plain,
% 25.99/17.37 (v9(constB35)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27166, 27162])).
% 25.99/17.37 tff(27168,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v141(constB35))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB35) | (~v9(constB35)) | v141(constB35))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27169,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB35) | (~v9(constB35)) | v141(constB35))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27170,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB35) | (~v9(constB35)) | v141(constB35)),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27169, 27168])).
% 25.99/17.37 tff(27171,plain,
% 25.99/17.37 ((~v9(constB35)) | v141(constB35)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27170, 3083, 4409])).
% 25.99/17.37 tff(27172,plain,
% 25.99/17.37 (v141(constB35)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27171, 27167])).
% 25.99/17.37 tff(27173,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB35)) | v140(constB35))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB35)) | v140(constB35))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27174,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB35)) | v140(constB35))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27175,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB35)) | v140(constB35)),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27174, 27173])).
% 25.99/17.37 tff(27176,plain,
% 25.99/17.37 (v140(constB35)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27175, 24165, 27172])).
% 25.99/17.37 tff(27177,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB35)) | (~v155(constB35)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB35)) | (~v155(constB35)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27178,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB35)) | (~v155(constB35)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27179,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB35)) | (~v155(constB35))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27178, 27177])).
% 25.99/17.37 tff(27180,plain,
% 25.99/17.37 (~v155(constB35)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27179, 24482, 27176])).
% 25.99/17.37 tff(27181,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB35) | v155(constB35) | (~v150(constB35)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB35) | v155(constB35) | (~v150(constB35)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27182,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB35) | v155(constB35) | (~v150(constB35)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27183,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB35) | v155(constB35) | (~v150(constB35))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27182, 27181])).
% 25.99/17.37 tff(27184,plain,
% 25.99/17.37 (v153(constB35) | (~v150(constB35))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27183, 24496, 27180])).
% 25.99/17.37 tff(27185,plain,
% 25.99/17.37 (~v150(constB35)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27184, 27145])).
% 25.99/17.37 tff(27186,plain,
% 25.99/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27187,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27188,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB35, constB36)) | v150(constB35) | (~v152(constB36))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27187, 27186])).
% 25.99/17.37 tff(27189,plain,
% 25.99/17.37 (v150(constB35) | (~v152(constB36))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27188, 24511, 4514])).
% 25.99/17.37 tff(27190,plain,
% 25.99/17.37 (~v152(constB36)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27189, 27185])).
% 25.99/17.37 tff(27191,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB36) | (~v155(constB36)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB36) | (~v155(constB36)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27192,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB36) | (~v155(constB36)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27193,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB36) | (~v155(constB36))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27192, 27191])).
% 25.99/17.37 tff(27194,plain,
% 25.99/17.37 (~v155(constB36)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27193, 24526, 27190])).
% 25.99/17.37 tff(27195,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB36)) | (~v141(constB36)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB36)) | (~v141(constB36)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27196,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB36)) | (~v141(constB36)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27197,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB36)) | (~v141(constB36))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27196, 27195])).
% 25.99/17.37 tff(27198,plain,
% 25.99/17.37 (~v141(constB36)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27197, 24291, 4660])).
% 25.99/17.37 tff(27199,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB36) | (~v154(constB36)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB36) | (~v154(constB36)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27200,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB36) | (~v154(constB36)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27201,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB36) | (~v154(constB36))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27200, 27199])).
% 25.99/17.37 tff(27202,plain,
% 25.99/17.37 (~v154(constB36)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27201, 24544, 27198])).
% 25.99/17.37 tff(27203,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB36) | (~v153(constB36)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB36) | (~v153(constB36)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27204,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB36) | (~v153(constB36)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27205,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB36) | (~v153(constB36))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27204, 27203])).
% 25.99/17.37 tff(27206,plain,
% 25.99/17.37 (~v153(constB36)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27205, 24558, 27202])).
% 25.99/17.37 tff(27207,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB36) | v155(constB36) | (~v150(constB36)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB36) | v155(constB36) | (~v150(constB36)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27208,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB36) | v155(constB36) | (~v150(constB36)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27209,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB36) | v155(constB36) | (~v150(constB36))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27208, 27207])).
% 25.99/17.37 tff(27210,plain,
% 25.99/17.37 (v155(constB36) | (~v150(constB36))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27209, 24496, 27206])).
% 25.99/17.37 tff(27211,plain,
% 25.99/17.37 (~v150(constB36)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27210, 27194])).
% 25.99/17.37 tff(27212,plain,
% 25.99/17.37 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27213,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27214,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB36, constB37)) | v150(constB36) | (~v152(constB37))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27213, 27212])).
% 25.99/17.37 tff(27215,plain,
% 25.99/17.37 (v150(constB36) | (~v152(constB37))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27214, 24511, 4688])).
% 25.99/17.37 tff(27216,plain,
% 25.99/17.37 (~v152(constB37)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27215, 27211])).
% 25.99/17.37 tff(27217,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB37) | (~v164(constB37)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB37) | (~v164(constB37)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27218,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB37) | (~v164(constB37)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27219,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB37) | (~v164(constB37))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27218, 27217])).
% 25.99/17.37 tff(27220,plain,
% 25.99/17.37 (~v164(constB37)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27219, 24674, 27216])).
% 25.99/17.37 tff(27221,assumption,(v18(constB38)), introduced(assumption)).
% 25.99/17.37 tff(27222,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB38))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27223,plain,
% 25.99/17.37 ($false),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27222, 3012, 27221])).
% 25.99/17.37 tff(27224,plain,(~v18(constB38)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.37 tff(27225,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27226,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB38) | (~v1(constB38)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27227,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB38) | (~v1(constB38))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27226, 27225])).
% 25.99/17.37 tff(27228,plain,
% 25.99/17.37 (v22(constB38)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27227, 3028, 4961])).
% 25.99/17.37 tff(27229,plain,
% 25.99/17.37 (((~![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)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27230,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB38) | (~v22(constB38)) | (~v19(constB38)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27231,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB38) | (~v22(constB38)) | (~v19(constB38))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27230, 27229])).
% 25.99/17.37 tff(27232,plain,
% 25.99/17.37 (v18(constB38) | (~v19(constB38))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27231, 3042, 27228])).
% 25.99/17.37 tff(27233,plain,
% 25.99/17.37 (~v19(constB38)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27232, 27224])).
% 25.99/17.37 tff(27234,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27235,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB38) | v19(constB38))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27236,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB38) | v19(constB38)),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27235, 27234])).
% 25.99/17.37 tff(27237,plain,
% 25.99/17.37 (v13(constB38)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27236, 3054, 27233])).
% 25.99/17.37 tff(27238,plain,
% 25.99/17.37 (((~![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)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27239,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27240,plain,
% 25.99/17.37 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB37) | (~v13(constB38)) | (~nextState(constB37, constB38))),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27239, 27238])).
% 25.99/17.37 tff(27241,plain,
% 25.99/17.37 (v9(constB37) | (~v13(constB38))),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27240, 3068, 4919])).
% 25.99/17.37 tff(27242,plain,
% 25.99/17.37 (v9(constB37)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27241, 27237])).
% 25.99/17.37 tff(27243,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v141(constB37))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB37) | (~v9(constB37)) | v141(constB37))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27244,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB37) | (~v9(constB37)) | v141(constB37))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27245,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB37) | (~v9(constB37)) | v141(constB37)),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27244, 27243])).
% 25.99/17.37 tff(27246,plain,
% 25.99/17.37 ((~v9(constB37)) | v141(constB37)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27245, 3083, 4685])).
% 25.99/17.37 tff(27247,plain,
% 25.99/17.37 (v141(constB37)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27246, 27242])).
% 25.99/17.37 tff(27248,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB37)) | v140(constB37))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB37)) | v140(constB37))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27249,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB37)) | v140(constB37))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.37 tff(27250,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB37)) | v140(constB37)),
% 25.99/17.37 inference(modus_ponens,[status(thm)],[27249, 27248])).
% 25.99/17.37 tff(27251,plain,
% 25.99/17.37 (v140(constB37)),
% 25.99/17.37 inference(unit_resolution,[status(thm)],[27250, 24165, 27247])).
% 25.99/17.37 tff(27252,plain,
% 25.99/17.37 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB37)) | (~v163(constB37)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB37)) | (~v163(constB37)))),
% 25.99/17.37 inference(rewrite,[status(thm)],[])).
% 25.99/17.37 tff(27253,plain,
% 25.99/17.37 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB37)) | (~v163(constB37)))),
% 25.99/17.37 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27254,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB37)) | (~v163(constB37))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27253, 27252])).
% 25.99/17.38 tff(27255,plain,
% 25.99/17.38 (~v163(constB37)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27254, 24179, 27251])).
% 25.99/17.38 tff(27256,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB37) | v164(constB37) | (~v160(constB37)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB37) | v164(constB37) | (~v160(constB37)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27257,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB37) | v164(constB37) | (~v160(constB37)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27258,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB37) | v164(constB37) | (~v160(constB37))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27257, 27256])).
% 25.99/17.38 tff(27259,plain,
% 25.99/17.38 (v164(constB37) | (~v160(constB37))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27258, 24688, 27255])).
% 25.99/17.38 tff(27260,plain,
% 25.99/17.38 (~v160(constB37)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27259, 27220])).
% 25.99/17.38 tff(27261,plain,
% 25.99/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27262,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27263,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB37, constB38)) | v160(constB37) | (~v162(constB38))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27262, 27261])).
% 25.99/17.38 tff(27264,plain,
% 25.99/17.38 (v160(constB37) | (~v162(constB38))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27263, 24703, 4919])).
% 25.99/17.38 tff(27265,plain,
% 25.99/17.38 (~v162(constB38)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27264, 27260])).
% 25.99/17.38 tff(27266,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB38) | (~v163(constB38)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB38) | (~v163(constB38)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27267,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB38) | (~v163(constB38)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27268,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB38) | (~v163(constB38))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27267, 27266])).
% 25.99/17.38 tff(27269,plain,
% 25.99/17.38 (~v163(constB38)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27268, 24718, 27265])).
% 25.99/17.38 tff(27270,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB38)) | (~v141(constB38)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB38)) | (~v141(constB38)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27271,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB38)) | (~v141(constB38)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27272,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB38)) | (~v141(constB38))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27271, 27270])).
% 25.99/17.38 tff(27273,plain,
% 25.99/17.38 (~v141(constB38)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27272, 24291, 4961])).
% 25.99/17.38 tff(27274,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB38) | (~v154(constB38)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB38) | (~v154(constB38)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27275,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB38) | (~v154(constB38)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27276,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB38) | (~v154(constB38))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27275, 27274])).
% 25.99/17.38 tff(27277,plain,
% 25.99/17.38 (~v154(constB38)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27276, 24544, 27273])).
% 25.99/17.38 tff(27278,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB38) | (~v164(constB38)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB38) | (~v164(constB38)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27279,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB38) | (~v164(constB38)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27280,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB38) | (~v164(constB38))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27279, 27278])).
% 25.99/17.38 tff(27281,plain,
% 25.99/17.38 (~v164(constB38)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27280, 24740, 27277])).
% 25.99/17.38 tff(27282,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB38) | v164(constB38) | (~v160(constB38)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB38) | v164(constB38) | (~v160(constB38)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27283,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB38) | v164(constB38) | (~v160(constB38)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27284,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB38) | v164(constB38) | (~v160(constB38))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27283, 27282])).
% 25.99/17.38 tff(27285,plain,
% 25.99/17.38 (v163(constB38) | (~v160(constB38))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27284, 24688, 27281])).
% 25.99/17.38 tff(27286,plain,
% 25.99/17.38 (~v160(constB38)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27285, 27269])).
% 25.99/17.38 tff(27287,plain,
% 25.99/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27288,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27289,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB38, constB39)) | v160(constB38) | (~v162(constB39))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27288, 27287])).
% 25.99/17.38 tff(27290,plain,
% 25.99/17.38 (v160(constB38) | (~v162(constB39))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27289, 24703, 5000])).
% 25.99/17.38 tff(27291,plain,
% 25.99/17.38 (~v162(constB39)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27290, 27286])).
% 25.99/17.38 tff(27292,plain,
% 25.99/17.38 ($false),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27291, 27045])).
% 25.99/17.38 tff(27293,plain,(~(constB39 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.38 tff(27294,assumption,(constB70 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.38 tff(27295,plain,
% 25.99/17.38 (v1(constB70) <=> v1(sK0_VarCurr)),
% 25.99/17.38 inference(monotonicity,[status(thm)],[27294])).
% 25.99/17.38 tff(27296,plain,
% 25.99/17.38 (v1(sK0_VarCurr) <=> v1(constB70)),
% 25.99/17.38 inference(symmetry,[status(thm)],[27295])).
% 25.99/17.38 tff(27297,plain,
% 25.99/17.38 ((~v1(sK0_VarCurr)) <=> (~v1(constB70))),
% 25.99/17.38 inference(monotonicity,[status(thm)],[27296])).
% 25.99/17.38 tff(27298,plain,
% 25.99/17.38 (~v1(constB70)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[25472, 27297])).
% 25.99/17.38 tff(27299,plain,
% 25.99/17.38 ($false),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[8257, 27298])).
% 25.99/17.38 tff(27300,plain,(~(constB70 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.38 tff(27301,assumption,(constB170 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.38 tff(27302,plain,
% 25.99/17.38 (v1(constB170) <=> v1(sK0_VarCurr)),
% 25.99/17.38 inference(monotonicity,[status(thm)],[27301])).
% 25.99/17.38 tff(27303,plain,
% 25.99/17.38 (v1(sK0_VarCurr) <=> v1(constB170)),
% 25.99/17.38 inference(symmetry,[status(thm)],[27302])).
% 25.99/17.38 tff(27304,plain,
% 25.99/17.38 ((~v1(sK0_VarCurr)) <=> (~v1(constB170))),
% 25.99/17.38 inference(monotonicity,[status(thm)],[27303])).
% 25.99/17.38 tff(27305,plain,
% 25.99/17.38 (~v1(constB170)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[25472, 27304])).
% 25.99/17.38 tff(27306,plain,
% 25.99/17.38 ($false),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[20529, 27305])).
% 25.99/17.38 tff(27307,plain,(~(constB170 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.38 tff(27308,assumption,(constB63 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.38 tff(27309,plain,
% 25.99/17.38 (v162(constB63) <=> v162(sK0_VarCurr)),
% 25.99/17.38 inference(monotonicity,[status(thm)],[27308])).
% 25.99/17.38 tff(27310,plain,
% 25.99/17.38 (v162(sK0_VarCurr) <=> v162(constB63)),
% 25.99/17.38 inference(symmetry,[status(thm)],[27309])).
% 25.99/17.38 tff(27311,plain,
% 25.99/17.38 (v162(constB63)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[24130, 27310])).
% 25.99/17.38 tff(27312,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB57)) | (~v84(constB57, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB57)) | (~v84(constB57, bitIndex2)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27313,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB57)) | (~v84(constB57, bitIndex2)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27314,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB57)) | (~v84(constB57, bitIndex2))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27313, 27312])).
% 25.99/17.38 tff(27315,plain,
% 25.99/17.38 (~v145(constB57)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27314, 16179, 6939])).
% 25.99/17.38 tff(27316,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB57) | (~v144(constB57)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB57) | (~v144(constB57)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27317,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB57) | (~v144(constB57)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27318,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB57) | (~v144(constB57))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27317, 27316])).
% 25.99/17.38 tff(27319,plain,
% 25.99/17.38 (~v144(constB57)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27318, 2971, 27315])).
% 25.99/17.38 tff(27320,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB57) | (~v142(constB57)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB57) | (~v142(constB57)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27321,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB57) | (~v142(constB57)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27322,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB57) | (~v142(constB57))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27321, 27320])).
% 25.99/17.38 tff(27323,plain,
% 25.99/17.38 (~v142(constB57)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27322, 2985, 27319])).
% 25.99/17.38 tff(27324,assumption,(v18(constB58)), introduced(assumption)).
% 25.99/17.38 tff(27325,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB58))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27326,plain,
% 25.99/17.38 ($false),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27325, 3012, 27324])).
% 25.99/17.38 tff(27327,plain,(~v18(constB58)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.38 tff(27328,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27329,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB58) | (~v1(constB58)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27330,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB58) | (~v1(constB58))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27329, 27328])).
% 25.99/17.38 tff(27331,plain,
% 25.99/17.38 (v22(constB58)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27330, 3028, 7065])).
% 25.99/17.38 tff(27332,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB58) | (~v22(constB58)) | (~v19(constB58)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB58) | (~v22(constB58)) | (~v19(constB58)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27333,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB58) | (~v22(constB58)) | (~v19(constB58)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27334,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB58) | (~v22(constB58)) | (~v19(constB58))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27333, 27332])).
% 25.99/17.38 tff(27335,plain,
% 25.99/17.38 (v18(constB58) | (~v19(constB58))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27334, 3042, 27331])).
% 25.99/17.38 tff(27336,plain,
% 25.99/17.38 (~v19(constB58)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27335, 27327])).
% 25.99/17.38 tff(27337,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27338,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB58) | v19(constB58))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27339,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB58) | v19(constB58)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27338, 27337])).
% 25.99/17.38 tff(27340,plain,
% 25.99/17.38 (v13(constB58)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27339, 3054, 27336])).
% 25.99/17.38 tff(27341,plain,
% 25.99/17.38 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27342,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27343,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB57) | (~v13(constB58)) | (~nextState(constB57, constB58))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27342, 27341])).
% 25.99/17.38 tff(27344,plain,
% 25.99/17.38 (v9(constB57) | (~v13(constB58))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27343, 3068, 7045])).
% 25.99/17.38 tff(27345,plain,
% 25.99/17.38 (v9(constB57)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27344, 27340])).
% 25.99/17.38 tff(27346,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v141(constB57))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB57) | (~v9(constB57)) | v141(constB57))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27347,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB57) | (~v9(constB57)) | v141(constB57))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27348,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB57) | (~v9(constB57)) | v141(constB57)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27347, 27346])).
% 25.99/17.38 tff(27349,plain,
% 25.99/17.38 ((~v9(constB57)) | v141(constB57)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27348, 3083, 6915])).
% 25.99/17.38 tff(27350,plain,
% 25.99/17.38 (v141(constB57)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27349, 27345])).
% 25.99/17.38 tff(27351,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB57) | (~v141(constB57)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB57) | (~v141(constB57)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27352,plain,
% 25.99/17.38 (((~v141(constB57)) | v140(constB57)) <=> (v140(constB57) | (~v141(constB57)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27353,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB57)) | v140(constB57))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB57) | (~v141(constB57))))),
% 25.99/17.38 inference(monotonicity,[status(thm)],[27352])).
% 25.99/17.38 tff(27354,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB57)) | v140(constB57))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB57) | (~v141(constB57)))),
% 25.99/17.38 inference(transitivity,[status(thm)],[27353, 27351])).
% 25.99/17.38 tff(27355,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB57)) | v140(constB57))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27356,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB57) | (~v141(constB57))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27355, 27354])).
% 25.99/17.38 tff(27357,plain,
% 25.99/17.38 (v140(constB57)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27356, 24165, 27350])).
% 25.99/17.38 tff(27358,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB57)) | (~v140(constB57)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB57)) | (~v140(constB57)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27359,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB57)) | (~v140(constB57)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27360,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB57)) | (~v140(constB57))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27359, 27358])).
% 25.99/17.38 tff(27361,plain,
% 25.99/17.38 (~v138(constB57)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27360, 24221, 27357])).
% 25.99/17.38 tff(27362,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB57) | v142(constB57) | (~v135(constB57)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB57) | v142(constB57) | (~v135(constB57)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27363,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB57) | v142(constB57) | (~v135(constB57)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27364,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB57) | v142(constB57) | (~v135(constB57))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27363, 27362])).
% 25.99/17.38 tff(27365,plain,
% 25.99/17.38 (v142(constB57) | (~v135(constB57))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27364, 24247, 27361])).
% 25.99/17.38 tff(27366,plain,
% 25.99/17.38 (~v135(constB57)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27365, 27323])).
% 25.99/17.38 tff(27367,plain,
% 25.99/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB57, constB58)) | v135(constB57) | (~v137(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB57, constB58)) | v135(constB57) | (~v137(constB58)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27368,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB57, constB58)) | v135(constB57) | (~v137(constB58)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27369,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB57, constB58)) | v135(constB57) | (~v137(constB58))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27368, 27367])).
% 25.99/17.38 tff(27370,plain,
% 25.99/17.38 (v135(constB57) | (~v137(constB58))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27369, 24262, 7045])).
% 25.99/17.38 tff(27371,plain,
% 25.99/17.38 (~v137(constB58)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27370, 27366])).
% 25.99/17.38 tff(27372,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB58) | (~v138(constB58)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB58) | (~v138(constB58)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27373,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB58) | (~v138(constB58)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27374,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB58) | (~v138(constB58))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27373, 27372])).
% 25.99/17.38 tff(27375,plain,
% 25.99/17.38 (~v138(constB58)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27374, 24277, 27371])).
% 25.99/17.38 tff(27376,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB58)) | (~v141(constB58)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB58)) | (~v141(constB58)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27377,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB58)) | (~v141(constB58)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27378,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB58)) | (~v141(constB58))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27377, 27376])).
% 25.99/17.38 tff(27379,plain,
% 25.99/17.38 (~v141(constB58)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27378, 24291, 7065])).
% 25.99/17.38 tff(27380,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB58) | (~v144(constB58)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB58) | (~v144(constB58)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27381,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB58) | (~v144(constB58)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27382,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB58) | (~v144(constB58))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27381, 27380])).
% 25.99/17.38 tff(27383,plain,
% 25.99/17.38 (~v144(constB58)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27382, 24305, 27379])).
% 25.99/17.38 tff(27384,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB58) | (~v142(constB58)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB58) | (~v142(constB58)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27385,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB58) | (~v142(constB58)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27386,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB58) | (~v142(constB58))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27385, 27384])).
% 25.99/17.38 tff(27387,plain,
% 25.99/17.38 (~v142(constB58)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27386, 2985, 27383])).
% 25.99/17.38 tff(27388,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB58) | v142(constB58) | (~v135(constB58)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB58) | v142(constB58) | (~v135(constB58)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27389,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB58) | v142(constB58) | (~v135(constB58)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27390,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB58) | v142(constB58) | (~v135(constB58))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27389, 27388])).
% 25.99/17.38 tff(27391,plain,
% 25.99/17.38 (v138(constB58) | (~v135(constB58))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27390, 24247, 27387])).
% 25.99/17.38 tff(27392,plain,
% 25.99/17.38 (~v135(constB58)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27391, 27375])).
% 25.99/17.38 tff(27393,plain,
% 25.99/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB58, constB59)) | v135(constB58) | (~v137(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB58, constB59)) | v135(constB58) | (~v137(constB59)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27394,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB58, constB59)) | v135(constB58) | (~v137(constB59)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27395,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB58, constB59)) | v135(constB58) | (~v137(constB59))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27394, 27393])).
% 25.99/17.38 tff(27396,plain,
% 25.99/17.38 (v135(constB58) | (~v137(constB59))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27395, 24262, 7107])).
% 25.99/17.38 tff(27397,plain,
% 25.99/17.38 (~v137(constB59)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27396, 27392])).
% 25.99/17.38 tff(27398,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB59) | (~v153(constB59)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB59) | (~v153(constB59)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27399,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB59) | (~v153(constB59)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27400,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB59) | (~v153(constB59))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27399, 27398])).
% 25.99/17.38 tff(27401,plain,
% 25.99/17.38 (~v153(constB59)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27400, 24437, 27397])).
% 25.99/17.38 tff(27402,assumption,(v18(constB60)), introduced(assumption)).
% 25.99/17.38 tff(27403,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB60))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27404,plain,
% 25.99/17.38 ($false),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27403, 3012, 27402])).
% 25.99/17.38 tff(27405,plain,(~v18(constB60)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.38 tff(27406,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27407,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27408,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27407, 27406])).
% 25.99/17.38 tff(27409,plain,
% 25.99/17.38 (v22(constB60)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27408, 3028, 7250])).
% 25.99/17.38 tff(27410,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB60) | (~v22(constB60)) | (~v19(constB60)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB60) | (~v22(constB60)) | (~v19(constB60)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27411,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB60) | (~v22(constB60)) | (~v19(constB60)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27412,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB60) | (~v22(constB60)) | (~v19(constB60))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27411, 27410])).
% 25.99/17.38 tff(27413,plain,
% 25.99/17.38 (v18(constB60) | (~v19(constB60))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27412, 3042, 27409])).
% 25.99/17.38 tff(27414,plain,
% 25.99/17.38 (~v19(constB60)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27413, 27405])).
% 25.99/17.38 tff(27415,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27416,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27417,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27416, 27415])).
% 25.99/17.38 tff(27418,plain,
% 25.99/17.38 (v13(constB60)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27417, 3054, 27414])).
% 25.99/17.38 tff(27419,plain,
% 25.99/17.38 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27420,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27421,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB59) | (~v13(constB60)) | (~nextState(constB59, constB60))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27420, 27419])).
% 25.99/17.38 tff(27422,plain,
% 25.99/17.38 (v9(constB59) | (~v13(constB60))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27421, 3068, 7230])).
% 25.99/17.38 tff(27423,plain,
% 25.99/17.38 (v9(constB59)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27422, 27418])).
% 25.99/17.38 tff(27424,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27425,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27426,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27425, 27424])).
% 25.99/17.38 tff(27427,plain,
% 25.99/17.38 ((~v9(constB59)) | v141(constB59)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27426, 3083, 7104])).
% 25.99/17.38 tff(27428,plain,
% 25.99/17.38 (v141(constB59)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27427, 27423])).
% 25.99/17.38 tff(27429,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB59)) | v140(constB59))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB59)) | v140(constB59))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27430,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB59)) | v140(constB59))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27431,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB59)) | v140(constB59)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27430, 27429])).
% 25.99/17.38 tff(27432,plain,
% 25.99/17.38 (v140(constB59)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27431, 24165, 27428])).
% 25.99/17.38 tff(27433,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB59)) | (~v155(constB59)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB59)) | (~v155(constB59)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27434,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB59)) | (~v155(constB59)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27435,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB59)) | (~v155(constB59))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27434, 27433])).
% 25.99/17.38 tff(27436,plain,
% 25.99/17.38 (~v155(constB59)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27435, 24482, 27432])).
% 25.99/17.38 tff(27437,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB59) | v155(constB59) | (~v150(constB59)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB59) | v155(constB59) | (~v150(constB59)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27438,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB59) | v155(constB59) | (~v150(constB59)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27439,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB59) | v155(constB59) | (~v150(constB59))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27438, 27437])).
% 25.99/17.38 tff(27440,plain,
% 25.99/17.38 (v153(constB59) | (~v150(constB59))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27439, 24496, 27436])).
% 25.99/17.38 tff(27441,plain,
% 25.99/17.38 (~v150(constB59)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27440, 27401])).
% 25.99/17.38 tff(27442,plain,
% 25.99/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB59, constB60)) | v150(constB59) | (~v152(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB59, constB60)) | v150(constB59) | (~v152(constB60)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27443,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB59, constB60)) | v150(constB59) | (~v152(constB60)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27444,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB59, constB60)) | v150(constB59) | (~v152(constB60))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27443, 27442])).
% 25.99/17.38 tff(27445,plain,
% 25.99/17.38 (v150(constB59) | (~v152(constB60))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27444, 24511, 7230])).
% 25.99/17.38 tff(27446,plain,
% 25.99/17.38 (~v152(constB60)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27445, 27441])).
% 25.99/17.38 tff(27447,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB60) | (~v155(constB60)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB60) | (~v155(constB60)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27448,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB60) | (~v155(constB60)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27449,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB60) | (~v155(constB60))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27448, 27447])).
% 25.99/17.38 tff(27450,plain,
% 25.99/17.38 (~v155(constB60)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27449, 24526, 27446])).
% 25.99/17.38 tff(27451,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27452,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27453,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27452, 27451])).
% 25.99/17.38 tff(27454,plain,
% 25.99/17.38 (~v141(constB60)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27453, 24291, 7250])).
% 25.99/17.38 tff(27455,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB60) | (~v154(constB60)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB60) | (~v154(constB60)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27456,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB60) | (~v154(constB60)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27457,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB60) | (~v154(constB60))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27456, 27455])).
% 25.99/17.38 tff(27458,plain,
% 25.99/17.38 (~v154(constB60)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27457, 24544, 27454])).
% 25.99/17.38 tff(27459,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB60) | (~v153(constB60)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB60) | (~v153(constB60)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27460,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB60) | (~v153(constB60)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27461,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB60) | (~v153(constB60))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27460, 27459])).
% 25.99/17.38 tff(27462,plain,
% 25.99/17.38 (~v153(constB60)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27461, 24558, 27458])).
% 25.99/17.38 tff(27463,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB60) | v155(constB60) | (~v150(constB60)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB60) | v155(constB60) | (~v150(constB60)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27464,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB60) | v155(constB60) | (~v150(constB60)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27465,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB60) | v155(constB60) | (~v150(constB60))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27464, 27463])).
% 25.99/17.38 tff(27466,plain,
% 25.99/17.38 (v155(constB60) | (~v150(constB60))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27465, 24496, 27462])).
% 25.99/17.38 tff(27467,plain,
% 25.99/17.38 (~v150(constB60)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27466, 27450])).
% 25.99/17.38 tff(27468,plain,
% 25.99/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB60, constB61)) | v150(constB60) | (~v152(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB60, constB61)) | v150(constB60) | (~v152(constB61)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27469,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB60, constB61)) | v150(constB60) | (~v152(constB61)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27470,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB60, constB61)) | v150(constB60) | (~v152(constB61))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27469, 27468])).
% 25.99/17.38 tff(27471,plain,
% 25.99/17.38 (v150(constB60) | (~v152(constB61))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27470, 24511, 7292])).
% 25.99/17.38 tff(27472,plain,
% 25.99/17.38 (~v152(constB61)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27471, 27467])).
% 25.99/17.38 tff(27473,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB61) | (~v164(constB61)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB61) | (~v164(constB61)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27474,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB61) | (~v164(constB61)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27475,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB61) | (~v164(constB61))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27474, 27473])).
% 25.99/17.38 tff(27476,plain,
% 25.99/17.38 (~v164(constB61)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27475, 24674, 27472])).
% 25.99/17.38 tff(27477,assumption,(v18(constB62)), introduced(assumption)).
% 25.99/17.38 tff(27478,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB62))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27479,plain,
% 25.99/17.38 ($false),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27478, 3012, 27477])).
% 25.99/17.38 tff(27480,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.38 tff(27481,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27482,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27483,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27482, 27481])).
% 25.99/17.38 tff(27484,plain,
% 25.99/17.38 (v22(constB62)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27483, 3028, 7431])).
% 25.99/17.38 tff(27485,plain,
% 25.99/17.38 (((~![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)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27486,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB62) | (~v22(constB62)) | (~v19(constB62)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27487,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB62) | (~v22(constB62)) | (~v19(constB62))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27486, 27485])).
% 25.99/17.38 tff(27488,plain,
% 25.99/17.38 (v18(constB62) | (~v19(constB62))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27487, 3042, 27484])).
% 25.99/17.38 tff(27489,plain,
% 25.99/17.38 (~v19(constB62)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27488, 27480])).
% 25.99/17.38 tff(27490,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27491,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27492,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27491, 27490])).
% 25.99/17.38 tff(27493,plain,
% 25.99/17.38 (v13(constB62)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27492, 3054, 27489])).
% 25.99/17.38 tff(27494,plain,
% 25.99/17.38 (((~![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)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27495,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27496,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB61) | (~v13(constB62)) | (~nextState(constB61, constB62))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27495, 27494])).
% 25.99/17.38 tff(27497,plain,
% 25.99/17.38 (v9(constB61) | (~v13(constB62))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27496, 3068, 7411])).
% 25.99/17.38 tff(27498,plain,
% 25.99/17.38 (v9(constB61)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27497, 27493])).
% 25.99/17.38 tff(27499,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27500,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27501,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27500, 27499])).
% 25.99/17.38 tff(27502,plain,
% 25.99/17.38 ((~v9(constB61)) | v141(constB61)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27501, 3083, 7289])).
% 25.99/17.38 tff(27503,plain,
% 25.99/17.38 (v141(constB61)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27502, 27498])).
% 25.99/17.38 tff(27504,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB61)) | v140(constB61))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB61)) | v140(constB61))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27505,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB61)) | v140(constB61))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27506,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB61)) | v140(constB61)),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27505, 27504])).
% 25.99/17.38 tff(27507,plain,
% 25.99/17.38 (v140(constB61)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27506, 24165, 27503])).
% 25.99/17.38 tff(27508,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB61)) | (~v163(constB61)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB61)) | (~v163(constB61)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27509,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB61)) | (~v163(constB61)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27510,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB61)) | (~v163(constB61))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27509, 27508])).
% 25.99/17.38 tff(27511,plain,
% 25.99/17.38 (~v163(constB61)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27510, 24179, 27507])).
% 25.99/17.38 tff(27512,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB61) | v164(constB61) | (~v160(constB61)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB61) | v164(constB61) | (~v160(constB61)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27513,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB61) | v164(constB61) | (~v160(constB61)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27514,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB61) | v164(constB61) | (~v160(constB61))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27513, 27512])).
% 25.99/17.38 tff(27515,plain,
% 25.99/17.38 (v164(constB61) | (~v160(constB61))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27514, 24688, 27511])).
% 25.99/17.38 tff(27516,plain,
% 25.99/17.38 (~v160(constB61)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27515, 27476])).
% 25.99/17.38 tff(27517,plain,
% 25.99/17.38 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB61, constB62)) | v160(constB61) | (~v162(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB61, constB62)) | v160(constB61) | (~v162(constB62)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27518,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB61, constB62)) | v160(constB61) | (~v162(constB62)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27519,plain,
% 25.99/17.38 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB61, constB62)) | v160(constB61) | (~v162(constB62))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27518, 27517])).
% 25.99/17.38 tff(27520,plain,
% 25.99/17.38 (v160(constB61) | (~v162(constB62))),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27519, 24703, 7411])).
% 25.99/17.38 tff(27521,plain,
% 25.99/17.38 (~v162(constB62)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27520, 27516])).
% 25.99/17.38 tff(27522,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB62) | (~v163(constB62)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB62) | (~v163(constB62)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27523,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB62) | (~v163(constB62)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27524,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB62) | (~v163(constB62))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27523, 27522])).
% 25.99/17.38 tff(27525,plain,
% 25.99/17.38 (~v163(constB62)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27524, 24718, 27521])).
% 25.99/17.38 tff(27526,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27527,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.38 tff(27528,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62))),
% 25.99/17.38 inference(modus_ponens,[status(thm)],[27527, 27526])).
% 25.99/17.38 tff(27529,plain,
% 25.99/17.38 (~v141(constB62)),
% 25.99/17.38 inference(unit_resolution,[status(thm)],[27528, 24291, 7431])).
% 25.99/17.38 tff(27530,plain,
% 25.99/17.38 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB62) | (~v154(constB62)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB62) | (~v154(constB62)))),
% 25.99/17.38 inference(rewrite,[status(thm)],[])).
% 25.99/17.38 tff(27531,plain,
% 25.99/17.38 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB62) | (~v154(constB62)))),
% 25.99/17.38 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27532,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB62) | (~v154(constB62))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27531, 27530])).
% 25.99/17.39 tff(27533,plain,
% 25.99/17.39 (~v154(constB62)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27532, 24544, 27529])).
% 25.99/17.39 tff(27534,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB62) | (~v164(constB62)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB62) | (~v164(constB62)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27535,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB62) | (~v164(constB62)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27536,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB62) | (~v164(constB62))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27535, 27534])).
% 25.99/17.39 tff(27537,plain,
% 25.99/17.39 (~v164(constB62)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27536, 24740, 27533])).
% 25.99/17.39 tff(27538,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB62) | v164(constB62) | (~v160(constB62)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB62) | v164(constB62) | (~v160(constB62)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27539,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB62) | v164(constB62) | (~v160(constB62)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27540,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB62) | v164(constB62) | (~v160(constB62))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27539, 27538])).
% 25.99/17.39 tff(27541,plain,
% 25.99/17.39 (v163(constB62) | (~v160(constB62))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27540, 24688, 27537])).
% 25.99/17.39 tff(27542,plain,
% 25.99/17.39 (~v160(constB62)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27541, 27525])).
% 25.99/17.39 tff(27543,plain,
% 25.99/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB62, constB63)) | v160(constB62) | (~v162(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB62, constB63)) | v160(constB62) | (~v162(constB63)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27544,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB62, constB63)) | v160(constB62) | (~v162(constB63)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27545,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB62, constB63)) | v160(constB62) | (~v162(constB63))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27544, 27543])).
% 25.99/17.39 tff(27546,plain,
% 25.99/17.39 (v160(constB62) | (~v162(constB63))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27545, 24703, 7500])).
% 25.99/17.39 tff(27547,plain,
% 25.99/17.39 (~v162(constB63)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27546, 27542])).
% 25.99/17.39 tff(27548,plain,
% 25.99/17.39 ($false),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27547, 27311])).
% 25.99/17.39 tff(27549,plain,(~(constB63 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.39 tff(27550,assumption,(constB150 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.39 tff(27551,plain,
% 25.99/17.39 (v1(constB150) <=> v1(sK0_VarCurr)),
% 25.99/17.39 inference(monotonicity,[status(thm)],[27550])).
% 25.99/17.39 tff(27552,plain,
% 25.99/17.39 (v1(sK0_VarCurr) <=> v1(constB150)),
% 25.99/17.39 inference(symmetry,[status(thm)],[27551])).
% 25.99/17.39 tff(27553,plain,
% 25.99/17.39 ((~v1(sK0_VarCurr)) <=> (~v1(constB150))),
% 25.99/17.39 inference(monotonicity,[status(thm)],[27552])).
% 25.99/17.39 tff(27554,plain,
% 25.99/17.39 (~v1(constB150)),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[25472, 27553])).
% 25.99/17.39 tff(27555,plain,
% 25.99/17.39 ($false),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[18181, 27554])).
% 25.99/17.39 tff(27556,plain,(~(constB150 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.39 tff(27557,assumption,(constB11 = sK0_VarCurr), introduced(assumption)).
% 25.99/17.39 tff(27558,plain,
% 25.99/17.39 (v162(constB11) <=> v162(sK0_VarCurr)),
% 25.99/17.39 inference(monotonicity,[status(thm)],[27557])).
% 25.99/17.39 tff(27559,plain,
% 25.99/17.39 (v162(sK0_VarCurr) <=> v162(constB11)),
% 25.99/17.39 inference(symmetry,[status(thm)],[27558])).
% 25.99/17.39 tff(27560,plain,
% 25.99/17.39 (v162(constB11)),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[24130, 27559])).
% 25.99/17.39 tff(27561,assumption,(v18(constB10)), introduced(assumption)).
% 25.99/17.39 tff(27562,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB10))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27563,plain,
% 25.99/17.39 ($false),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27562, 3012, 27561])).
% 25.99/17.39 tff(27564,plain,(~v18(constB10)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.39 tff(27565,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27566,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB10) | (~v1(constB10)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27567,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB10) | (~v1(constB10))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27566, 27565])).
% 25.99/17.39 tff(27568,plain,
% 25.99/17.39 (v22(constB10)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27567, 3028, 1518])).
% 25.99/17.39 tff(27569,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB10) | (~v22(constB10)) | (~v19(constB10)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB10) | (~v22(constB10)) | (~v19(constB10)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27570,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB10) | (~v22(constB10)) | (~v19(constB10)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27571,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB10) | (~v22(constB10)) | (~v19(constB10))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27570, 27569])).
% 25.99/17.39 tff(27572,plain,
% 25.99/17.39 (v18(constB10) | (~v19(constB10))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27571, 3042, 27568])).
% 25.99/17.39 tff(27573,plain,
% 25.99/17.39 (~v19(constB10)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27572, 27564])).
% 25.99/17.39 tff(27574,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27575,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB10) | v19(constB10))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27576,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB10) | v19(constB10)),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27575, 27574])).
% 25.99/17.39 tff(27577,plain,
% 25.99/17.39 (v13(constB10)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27576, 3054, 27573])).
% 25.99/17.39 tff(27578,plain,
% 25.99/17.39 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27579,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27580,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB9) | (~v13(constB10)) | (~nextState(constB9, constB10))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27579, 27578])).
% 25.99/17.39 tff(27581,plain,
% 25.99/17.39 (v9(constB9) | (~v13(constB10))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27580, 3068, 1498])).
% 25.99/17.39 tff(27582,plain,
% 25.99/17.39 (v9(constB9)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27581, 27577])).
% 25.99/17.39 tff(27583,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v141(constB9))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB9) | (~v9(constB9)) | v141(constB9))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27584,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB9) | (~v9(constB9)) | v141(constB9))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27585,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB9) | (~v9(constB9)) | v141(constB9)),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27584, 27583])).
% 25.99/17.39 tff(27586,plain,
% 25.99/17.39 ((~v9(constB9)) | v141(constB9)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27585, 3083, 1328])).
% 25.99/17.39 tff(27587,plain,
% 25.99/17.39 (v141(constB9)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27586, 27582])).
% 25.99/17.39 tff(27588,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB9) | (~v141(constB9)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB9) | (~v141(constB9)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27589,plain,
% 25.99/17.39 (((~v141(constB9)) | v140(constB9)) <=> (v140(constB9) | (~v141(constB9)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27590,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB9)) | v140(constB9))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB9) | (~v141(constB9))))),
% 25.99/17.39 inference(monotonicity,[status(thm)],[27589])).
% 25.99/17.39 tff(27591,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB9)) | v140(constB9))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB9) | (~v141(constB9)))),
% 25.99/17.39 inference(transitivity,[status(thm)],[27590, 27588])).
% 25.99/17.39 tff(27592,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB9)) | v140(constB9))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27593,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB9) | (~v141(constB9))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27592, 27591])).
% 25.99/17.39 tff(27594,plain,
% 25.99/17.39 (v140(constB9)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27593, 24165, 27587])).
% 25.99/17.39 tff(27595,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB9)) | (~v163(constB9)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB9)) | (~v163(constB9)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27596,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB9)) | (~v163(constB9)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27597,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB9)) | (~v163(constB9))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27596, 27595])).
% 25.99/17.39 tff(27598,plain,
% 25.99/17.39 (~v163(constB9)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27597, 24179, 27594])).
% 25.99/17.39 tff(27599,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB5)) | (~v84(constB5, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB5)) | (~v84(constB5, bitIndex1)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27600,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB5)) | (~v84(constB5, bitIndex1)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27601,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB5)) | (~v84(constB5, bitIndex1))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27600, 27599])).
% 25.99/17.39 tff(27602,plain,
% 25.99/17.39 (~v145(constB5)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27601, 2018, 869])).
% 25.99/17.39 tff(27603,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB5) | (~v144(constB5)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB5) | (~v144(constB5)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27604,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB5) | (~v144(constB5)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27605,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB5) | (~v144(constB5))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27604, 27603])).
% 25.99/17.39 tff(27606,plain,
% 25.99/17.39 (~v144(constB5)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27605, 2971, 27602])).
% 25.99/17.39 tff(27607,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB5) | (~v142(constB5)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB5) | (~v142(constB5)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27608,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB5) | (~v142(constB5)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27609,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB5) | (~v142(constB5))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27608, 27607])).
% 25.99/17.39 tff(27610,plain,
% 25.99/17.39 (~v142(constB5)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27609, 2985, 27606])).
% 25.99/17.39 tff(27611,assumption,(v18(constB6)), introduced(assumption)).
% 25.99/17.39 tff(27612,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB6))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27613,plain,
% 25.99/17.39 ($false),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27612, 3012, 27611])).
% 25.99/17.39 tff(27614,plain,(~v18(constB6)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.39 tff(27615,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27616,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB6) | (~v1(constB6)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27617,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB6) | (~v1(constB6))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27616, 27615])).
% 25.99/17.39 tff(27618,plain,
% 25.99/17.39 (v22(constB6)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27617, 3028, 1025])).
% 25.99/17.39 tff(27619,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB6) | (~v22(constB6)) | (~v19(constB6)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB6) | (~v22(constB6)) | (~v19(constB6)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27620,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB6) | (~v22(constB6)) | (~v19(constB6)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27621,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB6) | (~v22(constB6)) | (~v19(constB6))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27620, 27619])).
% 25.99/17.39 tff(27622,plain,
% 25.99/17.39 (v18(constB6) | (~v19(constB6))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27621, 3042, 27618])).
% 25.99/17.39 tff(27623,plain,
% 25.99/17.39 (~v19(constB6)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27622, 27614])).
% 25.99/17.39 tff(27624,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27625,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB6) | v19(constB6))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27626,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB6) | v19(constB6)),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27625, 27624])).
% 25.99/17.39 tff(27627,plain,
% 25.99/17.39 (v13(constB6)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27626, 3054, 27623])).
% 25.99/17.39 tff(27628,plain,
% 25.99/17.39 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27629,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27630,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB5) | (~v13(constB6)) | (~nextState(constB5, constB6))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27629, 27628])).
% 25.99/17.39 tff(27631,plain,
% 25.99/17.39 (v9(constB5) | (~v13(constB6))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27630, 3068, 1005])).
% 25.99/17.39 tff(27632,plain,
% 25.99/17.39 (v9(constB5)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27631, 27627])).
% 25.99/17.39 tff(27633,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v141(constB5))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB5) | (~v9(constB5)) | v141(constB5))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27634,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB5) | (~v9(constB5)) | v141(constB5))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27635,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB5) | (~v9(constB5)) | v141(constB5)),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27634, 27633])).
% 25.99/17.39 tff(27636,plain,
% 25.99/17.39 ((~v9(constB5)) | v141(constB5)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27635, 3083, 767])).
% 25.99/17.39 tff(27637,plain,
% 25.99/17.39 (v141(constB5)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27636, 27632])).
% 25.99/17.39 tff(27638,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB5)) | v140(constB5))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB5)) | v140(constB5))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27639,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB5)) | v140(constB5))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27640,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB5)) | v140(constB5)),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27639, 27638])).
% 25.99/17.39 tff(27641,plain,
% 25.99/17.39 (v140(constB5)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27640, 24165, 27637])).
% 25.99/17.39 tff(27642,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB5)) | (~v140(constB5)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB5)) | (~v140(constB5)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27643,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB5)) | (~v140(constB5)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27644,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB5)) | (~v140(constB5))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27643, 27642])).
% 25.99/17.39 tff(27645,plain,
% 25.99/17.39 (~v138(constB5)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27644, 24221, 27641])).
% 25.99/17.39 tff(27646,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB5) | v142(constB5) | (~v135(constB5)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB5) | v142(constB5) | (~v135(constB5)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27647,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB5) | v142(constB5) | (~v135(constB5)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27648,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB5) | v142(constB5) | (~v135(constB5))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27647, 27646])).
% 25.99/17.39 tff(27649,plain,
% 25.99/17.39 (v142(constB5) | (~v135(constB5))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27648, 24247, 27645])).
% 25.99/17.39 tff(27650,plain,
% 25.99/17.39 (~v135(constB5)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27649, 27610])).
% 25.99/17.39 tff(27651,plain,
% 25.99/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27652,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27653,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB5, constB6)) | v135(constB5) | (~v137(constB6))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27652, 27651])).
% 25.99/17.39 tff(27654,plain,
% 25.99/17.39 (v135(constB5) | (~v137(constB6))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27653, 24262, 1005])).
% 25.99/17.39 tff(27655,plain,
% 25.99/17.39 (~v137(constB6)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27654, 27650])).
% 25.99/17.39 tff(27656,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB6) | (~v138(constB6)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB6) | (~v138(constB6)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27657,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB6) | (~v138(constB6)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27658,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB6) | (~v138(constB6))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27657, 27656])).
% 25.99/17.39 tff(27659,plain,
% 25.99/17.39 (~v138(constB6)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27658, 24277, 27655])).
% 25.99/17.39 tff(27660,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB6)) | (~v141(constB6)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB6)) | (~v141(constB6)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27661,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB6)) | (~v141(constB6)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27662,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB6)) | (~v141(constB6))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27661, 27660])).
% 25.99/17.39 tff(27663,plain,
% 25.99/17.39 (~v141(constB6)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27662, 24291, 1025])).
% 25.99/17.39 tff(27664,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB6) | (~v144(constB6)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB6) | (~v144(constB6)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27665,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB6) | (~v144(constB6)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27666,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB6) | (~v144(constB6))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27665, 27664])).
% 25.99/17.39 tff(27667,plain,
% 25.99/17.39 (~v144(constB6)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27666, 24305, 27663])).
% 25.99/17.39 tff(27668,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB6) | (~v142(constB6)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB6) | (~v142(constB6)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27669,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB6) | (~v142(constB6)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27670,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB6) | (~v142(constB6))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27669, 27668])).
% 25.99/17.39 tff(27671,plain,
% 25.99/17.39 (~v142(constB6)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27670, 2985, 27667])).
% 25.99/17.39 tff(27672,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB6) | v142(constB6) | (~v135(constB6)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB6) | v142(constB6) | (~v135(constB6)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27673,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB6) | v142(constB6) | (~v135(constB6)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27674,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB6) | v142(constB6) | (~v135(constB6))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27673, 27672])).
% 25.99/17.39 tff(27675,plain,
% 25.99/17.39 (v138(constB6) | (~v135(constB6))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27674, 24247, 27671])).
% 25.99/17.39 tff(27676,plain,
% 25.99/17.39 (~v135(constB6)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27675, 27659])).
% 25.99/17.39 tff(27677,plain,
% 25.99/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27678,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27679,plain,
% 25.99/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB6, constB7)) | v135(constB6) | (~v137(constB7))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27678, 27677])).
% 25.99/17.39 tff(27680,plain,
% 25.99/17.39 (v135(constB6) | (~v137(constB7))),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27679, 24262, 1074])).
% 25.99/17.39 tff(27681,plain,
% 25.99/17.39 (~v137(constB7)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27680, 27676])).
% 25.99/17.39 tff(27682,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB7) | (~v153(constB7)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB7) | (~v153(constB7)))),
% 25.99/17.39 inference(rewrite,[status(thm)],[])).
% 25.99/17.39 tff(27683,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB7) | (~v153(constB7)))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27684,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB7) | (~v153(constB7))),
% 25.99/17.39 inference(modus_ponens,[status(thm)],[27683, 27682])).
% 25.99/17.39 tff(27685,plain,
% 25.99/17.39 (~v153(constB7)),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27684, 24437, 27681])).
% 25.99/17.39 tff(27686,assumption,(v18(constB8)), introduced(assumption)).
% 25.99/17.39 tff(27687,plain,
% 25.99/17.39 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB8))),
% 25.99/17.39 inference(quant_inst,[status(thm)],[])).
% 25.99/17.39 tff(27688,plain,
% 25.99/17.39 ($false),
% 25.99/17.39 inference(unit_resolution,[status(thm)],[27687, 3012, 27686])).
% 25.99/17.39 tff(27689,plain,(~v18(constB8)), inference(lemma,lemma(discharge,[]))).
% 25.99/17.39 tff(27690,plain,
% 25.99/17.39 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27691,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB8) | (~v1(constB8)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27692,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB8) | (~v1(constB8))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27691, 27690])).
% 26.08/17.39 tff(27693,plain,
% 26.08/17.39 (v22(constB8)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27692, 3028, 1252])).
% 26.08/17.39 tff(27694,plain,
% 26.08/17.39 (((~![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)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27695,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB8) | (~v22(constB8)) | (~v19(constB8)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27696,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB8) | (~v22(constB8)) | (~v19(constB8))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27695, 27694])).
% 26.08/17.39 tff(27697,plain,
% 26.08/17.39 (v18(constB8) | (~v19(constB8))),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27696, 3042, 27693])).
% 26.08/17.39 tff(27698,plain,
% 26.08/17.39 (~v19(constB8)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27697, 27689])).
% 26.08/17.39 tff(27699,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27700,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB8) | v19(constB8))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27701,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB8) | v19(constB8)),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 26.08/17.39 tff(27702,plain,
% 26.08/17.39 (v13(constB8)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27701, 3054, 27698])).
% 26.08/17.39 tff(27703,plain,
% 26.08/17.39 (((~![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)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27704,plain,
% 26.08/17.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27705,plain,
% 26.08/17.39 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB7) | (~v13(constB8)) | (~nextState(constB7, constB8))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 26.08/17.39 tff(27706,plain,
% 26.08/17.39 (v9(constB7) | (~v13(constB8))),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27705, 3068, 1232])).
% 26.08/17.39 tff(27707,plain,
% 26.08/17.39 (v9(constB7)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27706, 27702])).
% 26.08/17.39 tff(27708,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v141(constB7))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB7) | (~v9(constB7)) | v141(constB7))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27709,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB7) | (~v9(constB7)) | v141(constB7))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27710,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB7) | (~v9(constB7)) | v141(constB7)),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27709, 27708])).
% 26.08/17.39 tff(27711,plain,
% 26.08/17.39 ((~v9(constB7)) | v141(constB7)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27710, 3083, 1071])).
% 26.08/17.39 tff(27712,plain,
% 26.08/17.39 (v141(constB7)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27711, 27707])).
% 26.08/17.39 tff(27713,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB7)) | v140(constB7))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB7)) | v140(constB7))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27714,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB7)) | v140(constB7))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27715,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB7)) | v140(constB7)),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27714, 27713])).
% 26.08/17.39 tff(27716,plain,
% 26.08/17.39 (v140(constB7)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27715, 24165, 27712])).
% 26.08/17.39 tff(27717,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB7)) | (~v155(constB7)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB7)) | (~v155(constB7)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27718,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB7)) | (~v155(constB7)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27719,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB7)) | (~v155(constB7))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27718, 27717])).
% 26.08/17.39 tff(27720,plain,
% 26.08/17.39 (~v155(constB7)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27719, 24482, 27716])).
% 26.08/17.39 tff(27721,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB7) | v155(constB7) | (~v150(constB7)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB7) | v155(constB7) | (~v150(constB7)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27722,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB7) | v155(constB7) | (~v150(constB7)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27723,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB7) | v155(constB7) | (~v150(constB7))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27722, 27721])).
% 26.08/17.39 tff(27724,plain,
% 26.08/17.39 (v153(constB7) | (~v150(constB7))),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27723, 24496, 27720])).
% 26.08/17.39 tff(27725,plain,
% 26.08/17.39 (~v150(constB7)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27724, 27685])).
% 26.08/17.39 tff(27726,plain,
% 26.08/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27727,plain,
% 26.08/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27728,plain,
% 26.08/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB7, constB8)) | v150(constB7) | (~v152(constB8))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27727, 27726])).
% 26.08/17.39 tff(27729,plain,
% 26.08/17.39 (v150(constB7) | (~v152(constB8))),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27728, 24511, 1232])).
% 26.08/17.39 tff(27730,plain,
% 26.08/17.39 (~v152(constB8)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27729, 27725])).
% 26.08/17.39 tff(27731,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB8) | (~v155(constB8)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB8) | (~v155(constB8)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27732,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB8) | (~v155(constB8)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27733,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB8) | (~v155(constB8))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27732, 27731])).
% 26.08/17.39 tff(27734,plain,
% 26.08/17.39 (~v155(constB8)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27733, 24526, 27730])).
% 26.08/17.39 tff(27735,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB8)) | (~v141(constB8)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB8)) | (~v141(constB8)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27736,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB8)) | (~v141(constB8)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27737,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB8)) | (~v141(constB8))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27736, 27735])).
% 26.08/17.39 tff(27738,plain,
% 26.08/17.39 (~v141(constB8)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27737, 24291, 1252])).
% 26.08/17.39 tff(27739,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB8) | (~v154(constB8)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB8) | (~v154(constB8)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27740,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB8) | (~v154(constB8)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27741,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB8) | (~v154(constB8))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27740, 27739])).
% 26.08/17.39 tff(27742,plain,
% 26.08/17.39 (~v154(constB8)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27741, 24544, 27738])).
% 26.08/17.39 tff(27743,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB8) | (~v153(constB8)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB8) | (~v153(constB8)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27744,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB8) | (~v153(constB8)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27745,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB8) | (~v153(constB8))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27744, 27743])).
% 26.08/17.39 tff(27746,plain,
% 26.08/17.39 (~v153(constB8)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27745, 24558, 27742])).
% 26.08/17.39 tff(27747,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB8) | v155(constB8) | (~v150(constB8)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB8) | v155(constB8) | (~v150(constB8)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27748,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB8) | v155(constB8) | (~v150(constB8)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27749,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB8) | v155(constB8) | (~v150(constB8))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27748, 27747])).
% 26.08/17.39 tff(27750,plain,
% 26.08/17.39 (v155(constB8) | (~v150(constB8))),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27749, 24496, 27746])).
% 26.08/17.39 tff(27751,plain,
% 26.08/17.39 (~v150(constB8)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27750, 27734])).
% 26.08/17.39 tff(27752,plain,
% 26.08/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27753,plain,
% 26.08/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27754,plain,
% 26.08/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB8, constB9)) | v150(constB8) | (~v152(constB9))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27753, 27752])).
% 26.08/17.39 tff(27755,plain,
% 26.08/17.39 (v150(constB8) | (~v152(constB9))),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27754, 24511, 1331])).
% 26.08/17.39 tff(27756,plain,
% 26.08/17.39 (~v152(constB9)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27755, 27751])).
% 26.08/17.39 tff(27757,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB9) | (~v164(constB9)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB9) | (~v164(constB9)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27758,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB9) | (~v164(constB9)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27759,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB9) | (~v164(constB9))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27758, 27757])).
% 26.08/17.39 tff(27760,plain,
% 26.08/17.39 (~v164(constB9)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27759, 24674, 27756])).
% 26.08/17.39 tff(27761,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB9) | v164(constB9) | (~v160(constB9)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB9) | v164(constB9) | (~v160(constB9)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27762,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB9) | v164(constB9) | (~v160(constB9)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27763,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB9) | v164(constB9) | (~v160(constB9))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 26.08/17.39 tff(27764,plain,
% 26.08/17.39 (v163(constB9) | (~v160(constB9))),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27763, 24688, 27760])).
% 26.08/17.39 tff(27765,plain,
% 26.08/17.39 (~v160(constB9)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27764, 27598])).
% 26.08/17.39 tff(27766,plain,
% 26.08/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27767,plain,
% 26.08/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27768,plain,
% 26.08/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB9, constB10)) | v160(constB9) | (~v162(constB10))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27767, 27766])).
% 26.08/17.39 tff(27769,plain,
% 26.08/17.39 (v160(constB9) | (~v162(constB10))),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27768, 24703, 1498])).
% 26.08/17.39 tff(27770,plain,
% 26.08/17.39 (~v162(constB10)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27769, 27765])).
% 26.08/17.39 tff(27771,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB10) | (~v163(constB10)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB10) | (~v163(constB10)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27772,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB10) | (~v163(constB10)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27773,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB10) | (~v163(constB10))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27772, 27771])).
% 26.08/17.39 tff(27774,plain,
% 26.08/17.39 (~v163(constB10)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27773, 24718, 27770])).
% 26.08/17.39 tff(27775,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB10)) | (~v141(constB10)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB10)) | (~v141(constB10)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27776,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB10)) | (~v141(constB10)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27777,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB10)) | (~v141(constB10))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27776, 27775])).
% 26.08/17.39 tff(27778,plain,
% 26.08/17.39 (~v141(constB10)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27777, 24291, 1518])).
% 26.08/17.39 tff(27779,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB10) | (~v154(constB10)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB10) | (~v154(constB10)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27780,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB10) | (~v154(constB10)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27781,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB10) | (~v154(constB10))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27780, 27779])).
% 26.08/17.39 tff(27782,plain,
% 26.08/17.39 (~v154(constB10)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27781, 24544, 27778])).
% 26.08/17.39 tff(27783,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB10) | (~v164(constB10)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB10) | (~v164(constB10)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27784,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB10) | (~v164(constB10)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27785,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB10) | (~v164(constB10))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27784, 27783])).
% 26.08/17.39 tff(27786,plain,
% 26.08/17.39 (~v164(constB10)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27785, 24740, 27782])).
% 26.08/17.39 tff(27787,plain,
% 26.08/17.39 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB10) | v164(constB10) | (~v160(constB10)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB10) | v164(constB10) | (~v160(constB10)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27788,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB10) | v164(constB10) | (~v160(constB10)))),
% 26.08/17.39 inference(quant_inst,[status(thm)],[])).
% 26.08/17.39 tff(27789,plain,
% 26.08/17.39 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB10) | v164(constB10) | (~v160(constB10))),
% 26.08/17.39 inference(modus_ponens,[status(thm)],[27788, 27787])).
% 26.08/17.39 tff(27790,plain,
% 26.08/17.39 (v163(constB10) | (~v160(constB10))),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27789, 24688, 27786])).
% 26.08/17.39 tff(27791,plain,
% 26.08/17.39 (~v160(constB10)),
% 26.08/17.39 inference(unit_resolution,[status(thm)],[27790, 27774])).
% 26.08/17.39 tff(27792,plain,
% 26.08/17.39 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))),
% 26.08/17.39 inference(rewrite,[status(thm)],[])).
% 26.08/17.39 tff(27793,plain,
% 26.08/17.39 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27794,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB10, constB11)) | v160(constB10) | (~v162(constB11))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27793, 27792])).
% 26.08/17.40 tff(27795,plain,
% 26.08/17.40 (v160(constB10) | (~v162(constB11))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27794, 24703, 1567])).
% 26.08/17.40 tff(27796,plain,
% 26.08/17.40 (~v162(constB11)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27795, 27791])).
% 26.08/17.40 tff(27797,plain,
% 26.08/17.40 ($false),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27796, 27560])).
% 26.08/17.40 tff(27798,plain,(~(constB11 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.40 tff(27799,assumption,(constB186 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.40 tff(27800,plain,
% 26.08/17.40 (v1(constB186) <=> v1(sK0_VarCurr)),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27799])).
% 26.08/17.40 tff(27801,plain,
% 26.08/17.40 (v1(sK0_VarCurr) <=> v1(constB186)),
% 26.08/17.40 inference(symmetry,[status(thm)],[27800])).
% 26.08/17.40 tff(27802,plain,
% 26.08/17.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB186))),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27801])).
% 26.08/17.40 tff(27803,plain,
% 26.08/17.40 (~v1(constB186)),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[25472, 27802])).
% 26.08/17.40 tff(27804,plain,
% 26.08/17.40 ($false),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[23569, 27803])).
% 26.08/17.40 tff(27805,plain,(~(constB186 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.40 tff(27806,assumption,(constB30 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.40 tff(27807,plain,
% 26.08/17.40 (v1(constB30) <=> v1(sK0_VarCurr)),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27806])).
% 26.08/17.40 tff(27808,plain,
% 26.08/17.40 (v1(sK0_VarCurr) <=> v1(constB30)),
% 26.08/17.40 inference(symmetry,[status(thm)],[27807])).
% 26.08/17.40 tff(27809,plain,
% 26.08/17.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB30))),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27808])).
% 26.08/17.40 tff(27810,plain,
% 26.08/17.40 (~v1(constB30)),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[25472, 27809])).
% 26.08/17.40 tff(27811,plain,
% 26.08/17.40 ($false),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[3982, 27810])).
% 26.08/17.40 tff(27812,plain,(~(constB30 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.40 tff(27813,assumption,(constB132 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.40 tff(27814,plain,
% 26.08/17.40 (v1(constB132) <=> v1(sK0_VarCurr)),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27813])).
% 26.08/17.40 tff(27815,plain,
% 26.08/17.40 (v1(sK0_VarCurr) <=> v1(constB132)),
% 26.08/17.40 inference(symmetry,[status(thm)],[27814])).
% 26.08/17.40 tff(27816,plain,
% 26.08/17.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB132))),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27815])).
% 26.08/17.40 tff(27817,plain,
% 26.08/17.40 (~v1(constB132)),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[25472, 27816])).
% 26.08/17.40 tff(27818,plain,
% 26.08/17.40 ($false),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[14861, 27817])).
% 26.08/17.40 tff(27819,plain,(~(constB132 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.40 tff(27820,assumption,(constB156 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.40 tff(27821,plain,
% 26.08/17.40 (v1(constB156) <=> v1(sK0_VarCurr)),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27820])).
% 26.08/17.40 tff(27822,plain,
% 26.08/17.40 (v1(sK0_VarCurr) <=> v1(constB156)),
% 26.08/17.40 inference(symmetry,[status(thm)],[27821])).
% 26.08/17.40 tff(27823,plain,
% 26.08/17.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB156))),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27822])).
% 26.08/17.40 tff(27824,plain,
% 26.08/17.40 (~v1(constB156)),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[25472, 27823])).
% 26.08/17.40 tff(27825,plain,
% 26.08/17.40 ($false),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[18925, 27824])).
% 26.08/17.40 tff(27826,plain,(~(constB156 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.40 tff(27827,assumption,(constB54 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.40 tff(27828,plain,
% 26.08/17.40 (v1(constB54) <=> v1(sK0_VarCurr)),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27827])).
% 26.08/17.40 tff(27829,plain,
% 26.08/17.40 (v1(sK0_VarCurr) <=> v1(constB54)),
% 26.08/17.40 inference(symmetry,[status(thm)],[27828])).
% 26.08/17.40 tff(27830,plain,
% 26.08/17.40 ((~v1(sK0_VarCurr)) <=> (~v1(constB54))),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27829])).
% 26.08/17.40 tff(27831,plain,
% 26.08/17.40 (~v1(constB54)),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[25472, 27830])).
% 26.08/17.40 tff(27832,plain,
% 26.08/17.40 ($false),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[6641, 27831])).
% 26.08/17.40 tff(27833,plain,(~(constB54 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.40 tff(27834,assumption,(constB173 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.40 tff(27835,plain,
% 26.08/17.40 (v162(constB173) <=> v162(sK0_VarCurr)),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27834])).
% 26.08/17.40 tff(27836,plain,
% 26.08/17.40 (v162(sK0_VarCurr) <=> v162(constB173)),
% 26.08/17.40 inference(symmetry,[status(thm)],[27835])).
% 26.08/17.40 tff(27837,plain,
% 26.08/17.40 (v162(constB173)),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[24130, 27836])).
% 26.08/17.40 tff(27838,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB169) | (~v153(constB169)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB169) | (~v153(constB169)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27839,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB169) | (~v153(constB169)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27840,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB169) | (~v153(constB169))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27839, 27838])).
% 26.08/17.40 tff(27841,plain,
% 26.08/17.40 (~v153(constB169)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27840, 24437, 24829])).
% 26.08/17.40 tff(27842,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB165)) | (~v84(constB165, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB165)) | (~v84(constB165, bitIndex2)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27843,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB165)) | (~v84(constB165, bitIndex2)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27844,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB165)) | (~v84(constB165, bitIndex2))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27843, 27842])).
% 26.08/17.40 tff(27845,plain,
% 26.08/17.40 (~v145(constB165)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27844, 16179, 19897])).
% 26.08/17.40 tff(27846,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB165) | (~v144(constB165)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB165) | (~v144(constB165)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27847,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB165) | (~v144(constB165)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27848,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB165) | (~v144(constB165))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27847, 27846])).
% 26.08/17.40 tff(27849,plain,
% 26.08/17.40 (~v144(constB165)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27848, 2971, 27845])).
% 26.08/17.40 tff(27850,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB165) | (~v142(constB165)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB165) | (~v142(constB165)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27851,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB165) | (~v142(constB165)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27852,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB165) | (~v142(constB165))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27851, 27850])).
% 26.08/17.40 tff(27853,plain,
% 26.08/17.40 (~v142(constB165)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27852, 2985, 27849])).
% 26.08/17.40 tff(27854,assumption,(v18(constB166)), introduced(assumption)).
% 26.08/17.40 tff(27855,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB166))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27856,plain,
% 26.08/17.40 ($false),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27855, 3012, 27854])).
% 26.08/17.40 tff(27857,plain,(~v18(constB166)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.40 tff(27858,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27859,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB166) | (~v1(constB166)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27860,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB166) | (~v1(constB166))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27859, 27858])).
% 26.08/17.40 tff(27861,plain,
% 26.08/17.40 (v22(constB166)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27860, 3028, 20026])).
% 26.08/17.40 tff(27862,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB166) | (~v22(constB166)) | (~v19(constB166)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB166) | (~v22(constB166)) | (~v19(constB166)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27863,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB166) | (~v22(constB166)) | (~v19(constB166)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27864,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB166) | (~v22(constB166)) | (~v19(constB166))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27863, 27862])).
% 26.08/17.40 tff(27865,plain,
% 26.08/17.40 (v18(constB166) | (~v19(constB166))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27864, 3042, 27861])).
% 26.08/17.40 tff(27866,plain,
% 26.08/17.40 (~v19(constB166)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27865, 27857])).
% 26.08/17.40 tff(27867,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27868,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB166) | v19(constB166))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27869,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB166) | v19(constB166)),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27868, 27867])).
% 26.08/17.40 tff(27870,plain,
% 26.08/17.40 (v13(constB166)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27869, 3054, 27866])).
% 26.08/17.40 tff(27871,plain,
% 26.08/17.40 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27872,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27873,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB165) | (~v13(constB166)) | (~nextState(constB165, constB166))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27872, 27871])).
% 26.08/17.40 tff(27874,plain,
% 26.08/17.40 (v9(constB165) | (~v13(constB166))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27873, 3068, 20006])).
% 26.08/17.40 tff(27875,plain,
% 26.08/17.40 (v9(constB165)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27874, 27870])).
% 26.08/17.40 tff(27876,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v141(constB165))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB165) | (~v9(constB165)) | v141(constB165))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27877,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB165) | (~v9(constB165)) | v141(constB165))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27878,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB165) | (~v9(constB165)) | v141(constB165)),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27877, 27876])).
% 26.08/17.40 tff(27879,plain,
% 26.08/17.40 ((~v9(constB165)) | v141(constB165)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27878, 3083, 19873])).
% 26.08/17.40 tff(27880,plain,
% 26.08/17.40 (v141(constB165)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27879, 27875])).
% 26.08/17.40 tff(27881,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB165) | (~v141(constB165)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB165) | (~v141(constB165)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27882,plain,
% 26.08/17.40 (((~v141(constB165)) | v140(constB165)) <=> (v140(constB165) | (~v141(constB165)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27883,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB165)) | v140(constB165))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB165) | (~v141(constB165))))),
% 26.08/17.40 inference(monotonicity,[status(thm)],[27882])).
% 26.08/17.40 tff(27884,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB165)) | v140(constB165))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB165) | (~v141(constB165)))),
% 26.08/17.40 inference(transitivity,[status(thm)],[27883, 27881])).
% 26.08/17.40 tff(27885,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB165)) | v140(constB165))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27886,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB165) | (~v141(constB165))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27885, 27884])).
% 26.08/17.40 tff(27887,plain,
% 26.08/17.40 (v140(constB165)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27886, 24165, 27880])).
% 26.08/17.40 tff(27888,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB165)) | (~v140(constB165)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB165)) | (~v140(constB165)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27889,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB165)) | (~v140(constB165)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27890,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB165)) | (~v140(constB165))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27889, 27888])).
% 26.08/17.40 tff(27891,plain,
% 26.08/17.40 (~v138(constB165)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27890, 24221, 27887])).
% 26.08/17.40 tff(27892,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB165) | v142(constB165) | (~v135(constB165)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB165) | v142(constB165) | (~v135(constB165)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27893,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB165) | v142(constB165) | (~v135(constB165)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27894,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB165) | v142(constB165) | (~v135(constB165))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27893, 27892])).
% 26.08/17.40 tff(27895,plain,
% 26.08/17.40 (v142(constB165) | (~v135(constB165))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27894, 24247, 27891])).
% 26.08/17.40 tff(27896,plain,
% 26.08/17.40 (~v135(constB165)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27895, 27853])).
% 26.08/17.40 tff(27897,plain,
% 26.08/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27898,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27899,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB165, constB166)) | v135(constB165) | (~v137(constB166))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27898, 27897])).
% 26.08/17.40 tff(27900,plain,
% 26.08/17.40 (v135(constB165) | (~v137(constB166))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27899, 24262, 20006])).
% 26.08/17.40 tff(27901,plain,
% 26.08/17.40 (~v137(constB166)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27900, 27896])).
% 26.08/17.40 tff(27902,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB166) | (~v138(constB166)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB166) | (~v138(constB166)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27903,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB166) | (~v138(constB166)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27904,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB166) | (~v138(constB166))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27903, 27902])).
% 26.08/17.40 tff(27905,plain,
% 26.08/17.40 (~v138(constB166)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27904, 24277, 27901])).
% 26.08/17.40 tff(27906,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB166)) | (~v141(constB166)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB166)) | (~v141(constB166)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27907,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB166)) | (~v141(constB166)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27908,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB166)) | (~v141(constB166))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27907, 27906])).
% 26.08/17.40 tff(27909,plain,
% 26.08/17.40 (~v141(constB166)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27908, 24291, 20026])).
% 26.08/17.40 tff(27910,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB166) | (~v144(constB166)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB166) | (~v144(constB166)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27911,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB166) | (~v144(constB166)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27912,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB166) | (~v144(constB166))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27911, 27910])).
% 26.08/17.40 tff(27913,plain,
% 26.08/17.40 (~v144(constB166)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27912, 24305, 27909])).
% 26.08/17.40 tff(27914,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB166) | (~v142(constB166)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB166) | (~v142(constB166)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27915,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB166) | (~v142(constB166)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27916,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB166) | (~v142(constB166))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27915, 27914])).
% 26.08/17.40 tff(27917,plain,
% 26.08/17.40 (~v142(constB166)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27916, 2985, 27913])).
% 26.08/17.40 tff(27918,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB166) | v142(constB166) | (~v135(constB166)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB166) | v142(constB166) | (~v135(constB166)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27919,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB166) | v142(constB166) | (~v135(constB166)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27920,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB166) | v142(constB166) | (~v135(constB166))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27919, 27918])).
% 26.08/17.40 tff(27921,plain,
% 26.08/17.40 (v138(constB166) | (~v135(constB166))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27920, 24247, 27917])).
% 26.08/17.40 tff(27922,plain,
% 26.08/17.40 (~v135(constB166)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27921, 27905])).
% 26.08/17.40 tff(27923,plain,
% 26.08/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27924,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27925,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB166, constB167)) | v135(constB166) | (~v137(constB167))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27924, 27923])).
% 26.08/17.40 tff(27926,plain,
% 26.08/17.40 (v135(constB166) | (~v137(constB167))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27925, 24262, 20068])).
% 26.08/17.40 tff(27927,plain,
% 26.08/17.40 (~v137(constB167)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27926, 27922])).
% 26.08/17.40 tff(27928,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB167) | (~v153(constB167)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB167) | (~v153(constB167)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27929,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB167) | (~v153(constB167)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27930,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB167) | (~v153(constB167))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27929, 27928])).
% 26.08/17.40 tff(27931,plain,
% 26.08/17.40 (~v153(constB167)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27930, 24437, 27927])).
% 26.08/17.40 tff(27932,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB167)) | (~v155(constB167)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB167)) | (~v155(constB167)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27933,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB167)) | (~v155(constB167)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27934,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB167)) | (~v155(constB167))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27933, 27932])).
% 26.08/17.40 tff(27935,plain,
% 26.08/17.40 (~v155(constB167)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27934, 24482, 24789])).
% 26.08/17.40 tff(27936,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB167) | v155(constB167) | (~v150(constB167)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB167) | v155(constB167) | (~v150(constB167)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27937,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB167) | v155(constB167) | (~v150(constB167)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27938,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB167) | v155(constB167) | (~v150(constB167))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27937, 27936])).
% 26.08/17.40 tff(27939,plain,
% 26.08/17.40 (v153(constB167) | (~v150(constB167))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27938, 24496, 27935])).
% 26.08/17.40 tff(27940,plain,
% 26.08/17.40 (~v150(constB167)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27939, 27931])).
% 26.08/17.40 tff(27941,plain,
% 26.08/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27942,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27943,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB167, constB168)) | v150(constB167) | (~v152(constB168))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27942, 27941])).
% 26.08/17.40 tff(27944,plain,
% 26.08/17.40 (v150(constB167) | (~v152(constB168))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27943, 24511, 20204])).
% 26.08/17.40 tff(27945,plain,
% 26.08/17.40 (~v152(constB168)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27944, 27940])).
% 26.08/17.40 tff(27946,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB168) | (~v155(constB168)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB168) | (~v155(constB168)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27947,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB168) | (~v155(constB168)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27948,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB168) | (~v155(constB168))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27947, 27946])).
% 26.08/17.40 tff(27949,plain,
% 26.08/17.40 (~v155(constB168)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27948, 24526, 27945])).
% 26.08/17.40 tff(27950,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB168) | (~v154(constB168)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB168) | (~v154(constB168)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27951,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB168) | (~v154(constB168)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27952,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB168) | (~v154(constB168))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27951, 27950])).
% 26.08/17.40 tff(27953,plain,
% 26.08/17.40 (~v154(constB168)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27952, 24544, 24811])).
% 26.08/17.40 tff(27954,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB168) | (~v153(constB168)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB168) | (~v153(constB168)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27955,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB168) | (~v153(constB168)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27956,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB168) | (~v153(constB168))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27955, 27954])).
% 26.08/17.40 tff(27957,plain,
% 26.08/17.40 (~v153(constB168)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27956, 24558, 27953])).
% 26.08/17.40 tff(27958,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB168) | v155(constB168) | (~v150(constB168)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB168) | v155(constB168) | (~v150(constB168)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27959,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB168) | v155(constB168) | (~v150(constB168)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27960,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB168) | v155(constB168) | (~v150(constB168))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27959, 27958])).
% 26.08/17.40 tff(27961,plain,
% 26.08/17.40 (v155(constB168) | (~v150(constB168))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27960, 24496, 27957])).
% 26.08/17.40 tff(27962,plain,
% 26.08/17.40 (~v150(constB168)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27961, 27949])).
% 26.08/17.40 tff(27963,plain,
% 26.08/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27964,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27965,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB168, constB169)) | v150(constB168) | (~v152(constB169))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27964, 27963])).
% 26.08/17.40 tff(27966,plain,
% 26.08/17.40 (v150(constB168) | (~v152(constB169))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27965, 24511, 20337])).
% 26.08/17.40 tff(27967,plain,
% 26.08/17.40 (~v152(constB169)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27966, 27962])).
% 26.08/17.40 tff(27968,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB169) | (~v155(constB169)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB169) | (~v155(constB169)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27969,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB169) | (~v155(constB169)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27970,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB169) | (~v155(constB169))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27969, 27968])).
% 26.08/17.40 tff(27971,plain,
% 26.08/17.40 (~v155(constB169)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27970, 24526, 27967])).
% 26.08/17.40 tff(27972,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB169) | v155(constB169) | (~v150(constB169)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB169) | v155(constB169) | (~v150(constB169)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27973,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB169) | v155(constB169) | (~v150(constB169)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27974,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB169) | v155(constB169) | (~v150(constB169))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27973, 27972])).
% 26.08/17.40 tff(27975,plain,
% 26.08/17.40 (v153(constB169) | (~v150(constB169))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27974, 24496, 27971])).
% 26.08/17.40 tff(27976,plain,
% 26.08/17.40 (~v150(constB169)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27975, 27841])).
% 26.08/17.40 tff(27977,plain,
% 26.08/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB169, constB170)) | v150(constB169) | (~v152(constB170)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB169, constB170)) | v150(constB169) | (~v152(constB170)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27978,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB169, constB170)) | v150(constB169) | (~v152(constB170)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27979,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB169, constB170)) | v150(constB169) | (~v152(constB170))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27978, 27977])).
% 26.08/17.40 tff(27980,plain,
% 26.08/17.40 (v150(constB169) | (~v152(constB170))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27979, 24511, 20439])).
% 26.08/17.40 tff(27981,plain,
% 26.08/17.40 (~v152(constB170)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27980, 27976])).
% 26.08/17.40 tff(27982,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB170) | (~v155(constB170)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB170) | (~v155(constB170)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27983,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB170) | (~v155(constB170)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27984,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB170) | (~v155(constB170))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27983, 27982])).
% 26.08/17.40 tff(27985,plain,
% 26.08/17.40 (~v155(constB170)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27984, 24526, 27981])).
% 26.08/17.40 tff(27986,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB170) | (~v154(constB170)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB170) | (~v154(constB170)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27987,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB170) | (~v154(constB170)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27988,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB170) | (~v154(constB170))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27987, 27986])).
% 26.08/17.40 tff(27989,plain,
% 26.08/17.40 (~v154(constB170)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27988, 24544, 24851])).
% 26.08/17.40 tff(27990,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB170) | (~v153(constB170)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB170) | (~v153(constB170)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27991,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB170) | (~v153(constB170)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27992,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB170) | (~v153(constB170))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27991, 27990])).
% 26.08/17.40 tff(27993,plain,
% 26.08/17.40 (~v153(constB170)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27992, 24558, 27989])).
% 26.08/17.40 tff(27994,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB170) | v155(constB170) | (~v150(constB170)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB170) | v155(constB170) | (~v150(constB170)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(27995,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB170) | v155(constB170) | (~v150(constB170)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(27996,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB170) | v155(constB170) | (~v150(constB170))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[27995, 27994])).
% 26.08/17.40 tff(27997,plain,
% 26.08/17.40 (v155(constB170) | (~v150(constB170))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27996, 24496, 27993])).
% 26.08/17.40 tff(27998,plain,
% 26.08/17.40 (~v150(constB170)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[27997, 27985])).
% 26.08/17.40 tff(27999,plain,
% 26.08/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB170, constB171)) | v150(constB170) | (~v152(constB171)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB170, constB171)) | v150(constB170) | (~v152(constB171)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28000,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB170, constB171)) | v150(constB170) | (~v152(constB171)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28001,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB170, constB171)) | v150(constB170) | (~v152(constB171))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28000, 27999])).
% 26.08/17.40 tff(28002,plain,
% 26.08/17.40 (v150(constB170) | (~v152(constB171))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28001, 24511, 20553])).
% 26.08/17.40 tff(28003,plain,
% 26.08/17.40 (~v152(constB171)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28002, 27998])).
% 26.08/17.40 tff(28004,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB171) | (~v164(constB171)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB171) | (~v164(constB171)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28005,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB171) | (~v164(constB171)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28006,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB171) | (~v164(constB171))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28005, 28004])).
% 26.08/17.40 tff(28007,plain,
% 26.08/17.40 (~v164(constB171)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28006, 24674, 28003])).
% 26.08/17.40 tff(28008,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB171)) | (~v163(constB171)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB171)) | (~v163(constB171)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28009,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB171)) | (~v163(constB171)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28010,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB171)) | (~v163(constB171))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28009, 28008])).
% 26.08/17.40 tff(28011,plain,
% 26.08/17.40 (~v163(constB171)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28010, 24179, 24904])).
% 26.08/17.40 tff(28012,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB171) | v164(constB171) | (~v160(constB171)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB171) | v164(constB171) | (~v160(constB171)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28013,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB171) | v164(constB171) | (~v160(constB171)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28014,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB171) | v164(constB171) | (~v160(constB171))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28013, 28012])).
% 26.08/17.40 tff(28015,plain,
% 26.08/17.40 (v164(constB171) | (~v160(constB171))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28014, 24688, 28011])).
% 26.08/17.40 tff(28016,plain,
% 26.08/17.40 (~v160(constB171)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28015, 28007])).
% 26.08/17.40 tff(28017,plain,
% 26.08/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB171, constB172)) | v160(constB171) | (~v162(constB172)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB171, constB172)) | v160(constB171) | (~v162(constB172)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28018,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB171, constB172)) | v160(constB171) | (~v162(constB172)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28019,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB171, constB172)) | v160(constB171) | (~v162(constB172))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28018, 28017])).
% 26.08/17.40 tff(28020,plain,
% 26.08/17.40 (v160(constB171) | (~v162(constB172))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28019, 24703, 20706])).
% 26.08/17.40 tff(28021,plain,
% 26.08/17.40 (~v162(constB172)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28020, 28016])).
% 26.08/17.40 tff(28022,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB172) | (~v163(constB172)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB172) | (~v163(constB172)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28023,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB172) | (~v163(constB172)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28024,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB172) | (~v163(constB172))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28023, 28022])).
% 26.08/17.40 tff(28025,plain,
% 26.08/17.40 (~v163(constB172)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28024, 24718, 28021])).
% 26.08/17.40 tff(28026,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB172) | (~v164(constB172)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB172) | (~v164(constB172)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28027,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB172) | (~v164(constB172)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28028,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB172) | (~v164(constB172))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28027, 28026])).
% 26.08/17.40 tff(28029,plain,
% 26.08/17.40 (~v164(constB172)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28028, 24740, 24930])).
% 26.08/17.40 tff(28030,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB172) | v164(constB172) | (~v160(constB172)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB172) | v164(constB172) | (~v160(constB172)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28031,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB172) | v164(constB172) | (~v160(constB172)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28032,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB172) | v164(constB172) | (~v160(constB172))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28031, 28030])).
% 26.08/17.40 tff(28033,plain,
% 26.08/17.40 (v163(constB172) | (~v160(constB172))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28032, 24688, 28029])).
% 26.08/17.40 tff(28034,plain,
% 26.08/17.40 (~v160(constB172)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28033, 28025])).
% 26.08/17.40 tff(28035,plain,
% 26.08/17.40 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB172, constB173)) | v160(constB172) | (~v162(constB173)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB172, constB173)) | v160(constB172) | (~v162(constB173)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28036,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB172, constB173)) | v160(constB172) | (~v162(constB173)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28037,plain,
% 26.08/17.40 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB172, constB173)) | v160(constB172) | (~v162(constB173))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28036, 28035])).
% 26.08/17.40 tff(28038,plain,
% 26.08/17.40 (v160(constB172) | (~v162(constB173))),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28037, 24703, 20768])).
% 26.08/17.40 tff(28039,plain,
% 26.08/17.40 (~v162(constB173)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28038, 28034])).
% 26.08/17.40 tff(28040,plain,
% 26.08/17.40 ($false),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28039, 27837])).
% 26.08/17.40 tff(28041,plain,(~(constB173 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.40 tff(28042,assumption,(constB137 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.40 tff(28043,plain,
% 26.08/17.40 (v162(constB137) <=> v162(sK0_VarCurr)),
% 26.08/17.40 inference(monotonicity,[status(thm)],[28042])).
% 26.08/17.40 tff(28044,plain,
% 26.08/17.40 (v162(sK0_VarCurr) <=> v162(constB137)),
% 26.08/17.40 inference(symmetry,[status(thm)],[28043])).
% 26.08/17.40 tff(28045,plain,
% 26.08/17.40 (v162(constB137)),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[24130, 28044])).
% 26.08/17.40 tff(28046,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB131)) | (~v84(constB131, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB131)) | (~v84(constB131, bitIndex2)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28047,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB131)) | (~v84(constB131, bitIndex2)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28048,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB131)) | (~v84(constB131, bitIndex2))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28047, 28046])).
% 26.08/17.40 tff(28049,plain,
% 26.08/17.40 (~v145(constB131)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28048, 16179, 14732])).
% 26.08/17.40 tff(28050,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB131) | (~v144(constB131)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB131) | (~v144(constB131)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28051,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB131) | (~v144(constB131)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28052,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB131) | (~v144(constB131))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28051, 28050])).
% 26.08/17.40 tff(28053,plain,
% 26.08/17.40 (~v144(constB131)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28052, 2971, 28049])).
% 26.08/17.40 tff(28054,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB131) | (~v142(constB131)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB131) | (~v142(constB131)))),
% 26.08/17.40 inference(rewrite,[status(thm)],[])).
% 26.08/17.40 tff(28055,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB131) | (~v142(constB131)))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28056,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB131) | (~v142(constB131))),
% 26.08/17.40 inference(modus_ponens,[status(thm)],[28055, 28054])).
% 26.08/17.40 tff(28057,plain,
% 26.08/17.40 (~v142(constB131)),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28056, 2985, 28053])).
% 26.08/17.40 tff(28058,assumption,(v18(constB132)), introduced(assumption)).
% 26.08/17.40 tff(28059,plain,
% 26.08/17.40 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB132))),
% 26.08/17.40 inference(quant_inst,[status(thm)],[])).
% 26.08/17.40 tff(28060,plain,
% 26.08/17.40 ($false),
% 26.08/17.40 inference(unit_resolution,[status(thm)],[28059, 3012, 28058])).
% 26.08/17.40 tff(28061,plain,(~v18(constB132)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.40 tff(28062,plain,
% 26.08/17.40 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28063,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28064,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28063, 28062])).
% 26.08/17.41 tff(28065,plain,
% 26.08/17.41 (v22(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28064, 3028, 14861])).
% 26.08/17.41 tff(28066,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB132) | (~v22(constB132)) | (~v19(constB132)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB132) | (~v22(constB132)) | (~v19(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28067,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB132) | (~v22(constB132)) | (~v19(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28068,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB132) | (~v22(constB132)) | (~v19(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28067, 28066])).
% 26.08/17.41 tff(28069,plain,
% 26.08/17.41 (v18(constB132) | (~v19(constB132))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28068, 3042, 28065])).
% 26.08/17.41 tff(28070,plain,
% 26.08/17.41 (~v19(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28069, 28061])).
% 26.08/17.41 tff(28071,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28072,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28073,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132)),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28072, 28071])).
% 26.08/17.41 tff(28074,plain,
% 26.08/17.41 (v13(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28073, 3054, 28070])).
% 26.08/17.41 tff(28075,plain,
% 26.08/17.41 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28076,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28077,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB131) | (~v13(constB132)) | (~nextState(constB131, constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28076, 28075])).
% 26.08/17.41 tff(28078,plain,
% 26.08/17.41 (v9(constB131) | (~v13(constB132))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28077, 3068, 14841])).
% 26.08/17.41 tff(28079,plain,
% 26.08/17.41 (v9(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28078, 28074])).
% 26.08/17.41 tff(28080,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28081,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28082,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131)),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28081, 28080])).
% 26.08/17.41 tff(28083,plain,
% 26.08/17.41 ((~v9(constB131)) | v141(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28082, 3083, 14708])).
% 26.08/17.41 tff(28084,plain,
% 26.08/17.41 (v141(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28083, 28079])).
% 26.08/17.41 tff(28085,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB131)) | v140(constB131))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB131)) | v140(constB131))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28086,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB131)) | v140(constB131))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28087,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB131)) | v140(constB131)),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28086, 28085])).
% 26.08/17.41 tff(28088,plain,
% 26.08/17.41 (v140(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28087, 24165, 28084])).
% 26.08/17.41 tff(28089,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB131)) | (~v140(constB131)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB131)) | (~v140(constB131)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28090,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB131)) | (~v140(constB131)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28091,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB131)) | (~v140(constB131))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28090, 28089])).
% 26.08/17.41 tff(28092,plain,
% 26.08/17.41 (~v138(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28091, 24221, 28088])).
% 26.08/17.41 tff(28093,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB131) | v142(constB131) | (~v135(constB131)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB131) | v142(constB131) | (~v135(constB131)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28094,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB131) | v142(constB131) | (~v135(constB131)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28095,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB131) | v142(constB131) | (~v135(constB131))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28094, 28093])).
% 26.08/17.41 tff(28096,plain,
% 26.08/17.41 (v142(constB131) | (~v135(constB131))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28095, 24247, 28092])).
% 26.08/17.41 tff(28097,plain,
% 26.08/17.41 (~v135(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28096, 28057])).
% 26.08/17.41 tff(28098,plain,
% 26.08/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28099,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28100,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB131, constB132)) | v135(constB131) | (~v137(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28099, 28098])).
% 26.08/17.41 tff(28101,plain,
% 26.08/17.41 (v135(constB131) | (~v137(constB132))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28100, 24262, 14841])).
% 26.08/17.41 tff(28102,plain,
% 26.08/17.41 (~v137(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28101, 28097])).
% 26.08/17.41 tff(28103,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB132) | (~v138(constB132)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB132) | (~v138(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28104,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB132) | (~v138(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28105,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB132) | (~v138(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28104, 28103])).
% 26.08/17.41 tff(28106,plain,
% 26.08/17.41 (~v138(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28105, 24277, 28102])).
% 26.08/17.41 tff(28107,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28108,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28109,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28108, 28107])).
% 26.08/17.41 tff(28110,plain,
% 26.08/17.41 (~v141(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28109, 24291, 14861])).
% 26.08/17.41 tff(28111,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB132) | (~v144(constB132)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB132) | (~v144(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28112,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB132) | (~v144(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28113,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB132) | (~v144(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28112, 28111])).
% 26.08/17.41 tff(28114,plain,
% 26.08/17.41 (~v144(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28113, 24305, 28110])).
% 26.08/17.41 tff(28115,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB132) | (~v142(constB132)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB132) | (~v142(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28116,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB132) | (~v142(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28117,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB132) | (~v142(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28116, 28115])).
% 26.08/17.41 tff(28118,plain,
% 26.08/17.41 (~v142(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28117, 2985, 28114])).
% 26.08/17.41 tff(28119,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB132) | v142(constB132) | (~v135(constB132)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB132) | v142(constB132) | (~v135(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28120,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB132) | v142(constB132) | (~v135(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28121,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB132) | v142(constB132) | (~v135(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28120, 28119])).
% 26.08/17.41 tff(28122,plain,
% 26.08/17.41 (v138(constB132) | (~v135(constB132))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28121, 24247, 28118])).
% 26.08/17.41 tff(28123,plain,
% 26.08/17.41 (~v135(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28122, 28106])).
% 26.08/17.41 tff(28124,plain,
% 26.08/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28125,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28126,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB132, constB133)) | v135(constB132) | (~v137(constB133))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28125, 28124])).
% 26.08/17.41 tff(28127,plain,
% 26.08/17.41 (v135(constB132) | (~v137(constB133))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28126, 24262, 14907])).
% 26.08/17.41 tff(28128,plain,
% 26.08/17.41 (~v137(constB133)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28127, 28123])).
% 26.08/17.41 tff(28129,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB133) | (~v153(constB133)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB133) | (~v153(constB133)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28130,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB133) | (~v153(constB133)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28131,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB133) | (~v153(constB133))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28130, 28129])).
% 26.08/17.41 tff(28132,plain,
% 26.08/17.41 (~v153(constB133)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28131, 24437, 28128])).
% 26.08/17.41 tff(28133,assumption,(v18(constB134)), introduced(assumption)).
% 26.08/17.41 tff(28134,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB134))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28135,plain,
% 26.08/17.41 ($false),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28134, 3012, 28133])).
% 26.08/17.41 tff(28136,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.41 tff(28137,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28138,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28139,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28138, 28137])).
% 26.08/17.41 tff(28140,plain,
% 26.08/17.41 (v22(constB134)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28139, 3028, 15040])).
% 26.08/17.41 tff(28141,plain,
% 26.08/17.41 (((~![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)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28142,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB134) | (~v22(constB134)) | (~v19(constB134)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28143,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB134) | (~v22(constB134)) | (~v19(constB134))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28142, 28141])).
% 26.08/17.41 tff(28144,plain,
% 26.08/17.41 (v18(constB134) | (~v19(constB134))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28143, 3042, 28140])).
% 26.08/17.41 tff(28145,plain,
% 26.08/17.41 (~v19(constB134)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28144, 28136])).
% 26.08/17.41 tff(28146,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28147,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28148,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28147, 28146])).
% 26.08/17.41 tff(28149,plain,
% 26.08/17.41 (v13(constB134)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28148, 3054, 28145])).
% 26.08/17.41 tff(28150,plain,
% 26.08/17.41 (((~![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)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28151,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28152,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB133) | (~v13(constB134)) | (~nextState(constB133, constB134))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28151, 28150])).
% 26.08/17.41 tff(28153,plain,
% 26.08/17.41 (v9(constB133) | (~v13(constB134))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28152, 3068, 15020])).
% 26.08/17.41 tff(28154,plain,
% 26.08/17.41 (v9(constB133)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28153, 28149])).
% 26.08/17.41 tff(28155,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28156,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28157,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133)),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28156, 28155])).
% 26.08/17.41 tff(28158,plain,
% 26.08/17.41 ((~v9(constB133)) | v141(constB133)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28157, 3083, 14904])).
% 26.08/17.41 tff(28159,plain,
% 26.08/17.41 (v141(constB133)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28158, 28154])).
% 26.08/17.41 tff(28160,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB133)) | v140(constB133))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB133)) | v140(constB133))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28161,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB133)) | v140(constB133))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28162,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB133)) | v140(constB133)),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28161, 28160])).
% 26.08/17.41 tff(28163,plain,
% 26.08/17.41 (v140(constB133)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28162, 24165, 28159])).
% 26.08/17.41 tff(28164,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB133)) | (~v155(constB133)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB133)) | (~v155(constB133)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28165,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB133)) | (~v155(constB133)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28166,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB133)) | (~v155(constB133))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28165, 28164])).
% 26.08/17.41 tff(28167,plain,
% 26.08/17.41 (~v155(constB133)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28166, 24482, 28163])).
% 26.08/17.41 tff(28168,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB133) | v155(constB133) | (~v150(constB133)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB133) | v155(constB133) | (~v150(constB133)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28169,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB133) | v155(constB133) | (~v150(constB133)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28170,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB133) | v155(constB133) | (~v150(constB133))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28169, 28168])).
% 26.08/17.41 tff(28171,plain,
% 26.08/17.41 (v153(constB133) | (~v150(constB133))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28170, 24496, 28167])).
% 26.08/17.41 tff(28172,plain,
% 26.08/17.41 (~v150(constB133)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28171, 28132])).
% 26.08/17.41 tff(28173,plain,
% 26.08/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28174,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28175,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB133, constB134)) | v150(constB133) | (~v152(constB134))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28174, 28173])).
% 26.08/17.41 tff(28176,plain,
% 26.08/17.41 (v150(constB133) | (~v152(constB134))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28175, 24511, 15020])).
% 26.08/17.41 tff(28177,plain,
% 26.08/17.41 (~v152(constB134)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28176, 28172])).
% 26.08/17.41 tff(28178,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB134) | (~v155(constB134)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB134) | (~v155(constB134)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28179,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB134) | (~v155(constB134)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28180,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB134) | (~v155(constB134))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28179, 28178])).
% 26.08/17.41 tff(28181,plain,
% 26.08/17.41 (~v155(constB134)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28180, 24526, 28177])).
% 26.08/17.41 tff(28182,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28183,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28184,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28183, 28182])).
% 26.08/17.41 tff(28185,plain,
% 26.08/17.41 (~v141(constB134)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28184, 24291, 15040])).
% 26.08/17.41 tff(28186,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB134) | (~v154(constB134)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB134) | (~v154(constB134)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28187,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB134) | (~v154(constB134)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28188,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB134) | (~v154(constB134))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28187, 28186])).
% 26.08/17.41 tff(28189,plain,
% 26.08/17.41 (~v154(constB134)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28188, 24544, 28185])).
% 26.08/17.41 tff(28190,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB134) | (~v153(constB134)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB134) | (~v153(constB134)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28191,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB134) | (~v153(constB134)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28192,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB134) | (~v153(constB134))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28191, 28190])).
% 26.08/17.41 tff(28193,plain,
% 26.08/17.41 (~v153(constB134)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28192, 24558, 28189])).
% 26.08/17.41 tff(28194,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB134) | v155(constB134) | (~v150(constB134)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB134) | v155(constB134) | (~v150(constB134)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28195,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB134) | v155(constB134) | (~v150(constB134)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28196,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB134) | v155(constB134) | (~v150(constB134))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28195, 28194])).
% 26.08/17.41 tff(28197,plain,
% 26.08/17.41 (v155(constB134) | (~v150(constB134))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28196, 24496, 28193])).
% 26.08/17.41 tff(28198,plain,
% 26.08/17.41 (~v150(constB134)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28197, 28181])).
% 26.08/17.41 tff(28199,plain,
% 26.08/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28200,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28201,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB134, constB135)) | v150(constB134) | (~v152(constB135))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28200, 28199])).
% 26.08/17.41 tff(28202,plain,
% 26.08/17.41 (v150(constB134) | (~v152(constB135))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28201, 24511, 15109])).
% 26.08/17.41 tff(28203,plain,
% 26.08/17.41 (~v152(constB135)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28202, 28198])).
% 26.08/17.41 tff(28204,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB135) | (~v164(constB135)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB135) | (~v164(constB135)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28205,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB135) | (~v164(constB135)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28206,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB135) | (~v164(constB135))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28205, 28204])).
% 26.08/17.41 tff(28207,plain,
% 26.08/17.41 (~v164(constB135)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28206, 24674, 28203])).
% 26.08/17.41 tff(28208,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB129)) | (~v84(constB129, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB129)) | (~v84(constB129, bitIndex2)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28209,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB129)) | (~v84(constB129, bitIndex2)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28210,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB129)) | (~v84(constB129, bitIndex2))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28209, 28208])).
% 26.08/17.41 tff(28211,plain,
% 26.08/17.41 (~v145(constB129)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28210, 16179, 14537])).
% 26.08/17.41 tff(28212,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB129) | (~v144(constB129)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB129) | (~v144(constB129)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28213,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB129) | (~v144(constB129)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28214,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB129) | (~v144(constB129))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28213, 28212])).
% 26.08/17.41 tff(28215,plain,
% 26.08/17.41 (~v144(constB129)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28214, 2971, 28211])).
% 26.08/17.41 tff(28216,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB129) | (~v142(constB129)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB129) | (~v142(constB129)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28217,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB129) | (~v142(constB129)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28218,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB129) | (~v142(constB129))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28217, 28216])).
% 26.08/17.41 tff(28219,plain,
% 26.08/17.41 (~v142(constB129)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28218, 2985, 28215])).
% 26.08/17.41 tff(28220,assumption,(v18(constB130)), introduced(assumption)).
% 26.08/17.41 tff(28221,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB130))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28222,plain,
% 26.08/17.41 ($false),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28221, 3012, 28220])).
% 26.08/17.41 tff(28223,plain,(~v18(constB130)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.41 tff(28224,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28225,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28226,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28225, 28224])).
% 26.08/17.41 tff(28227,plain,
% 26.08/17.41 (v22(constB130)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28226, 3028, 14669])).
% 26.08/17.41 tff(28228,plain,
% 26.08/17.41 (((~![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)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28229,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB130) | (~v22(constB130)) | (~v19(constB130)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28230,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB130) | (~v22(constB130)) | (~v19(constB130))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28229, 28228])).
% 26.08/17.41 tff(28231,plain,
% 26.08/17.41 (v18(constB130) | (~v19(constB130))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28230, 3042, 28227])).
% 26.08/17.41 tff(28232,plain,
% 26.08/17.41 (~v19(constB130)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28231, 28223])).
% 26.08/17.41 tff(28233,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28234,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28235,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130)),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28234, 28233])).
% 26.08/17.41 tff(28236,plain,
% 26.08/17.41 (v13(constB130)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28235, 3054, 28232])).
% 26.08/17.41 tff(28237,plain,
% 26.08/17.41 (((~![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)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28238,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28239,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB129) | (~v13(constB130)) | (~nextState(constB129, constB130))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28238, 28237])).
% 26.08/17.41 tff(28240,plain,
% 26.08/17.41 (v9(constB129) | (~v13(constB130))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28239, 3068, 14649])).
% 26.08/17.41 tff(28241,plain,
% 26.08/17.41 (v9(constB129)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28240, 28236])).
% 26.08/17.41 tff(28242,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28243,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28244,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129)),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28243, 28242])).
% 26.08/17.41 tff(28245,plain,
% 26.08/17.41 ((~v9(constB129)) | v141(constB129)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28244, 3083, 14513])).
% 26.08/17.41 tff(28246,plain,
% 26.08/17.41 (v141(constB129)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28245, 28241])).
% 26.08/17.41 tff(28247,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB129)) | v140(constB129))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB129)) | v140(constB129))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28248,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB129)) | v140(constB129))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28249,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB129)) | v140(constB129)),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28248, 28247])).
% 26.08/17.41 tff(28250,plain,
% 26.08/17.41 (v140(constB129)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28249, 24165, 28246])).
% 26.08/17.41 tff(28251,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB129)) | (~v140(constB129)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB129)) | (~v140(constB129)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28252,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB129)) | (~v140(constB129)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28253,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB129)) | (~v140(constB129))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28252, 28251])).
% 26.08/17.41 tff(28254,plain,
% 26.08/17.41 (~v138(constB129)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28253, 24221, 28250])).
% 26.08/17.41 tff(28255,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28256,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28257,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28256, 28255])).
% 26.08/17.41 tff(28258,plain,
% 26.08/17.41 (v142(constB129) | (~v135(constB129))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28257, 24247, 28254])).
% 26.08/17.41 tff(28259,plain,
% 26.08/17.41 (~v135(constB129)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28258, 28219])).
% 26.08/17.41 tff(28260,plain,
% 26.08/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28261,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28262,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28261, 28260])).
% 26.08/17.41 tff(28263,plain,
% 26.08/17.41 (v135(constB129) | (~v137(constB130))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28262, 24262, 14649])).
% 26.08/17.41 tff(28264,plain,
% 26.08/17.41 (~v137(constB130)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28263, 28259])).
% 26.08/17.41 tff(28265,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28266,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28267,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 26.08/17.41 tff(28268,plain,
% 26.08/17.41 (~v138(constB130)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28267, 24277, 28264])).
% 26.08/17.41 tff(28269,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28270,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28271,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28270, 28269])).
% 26.08/17.41 tff(28272,plain,
% 26.08/17.41 (~v141(constB130)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28271, 24291, 14669])).
% 26.08/17.41 tff(28273,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28274,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28275,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 26.08/17.41 tff(28276,plain,
% 26.08/17.41 (~v144(constB130)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28275, 24305, 28272])).
% 26.08/17.41 tff(28277,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28278,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28279,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28278, 28277])).
% 26.08/17.41 tff(28280,plain,
% 26.08/17.41 (~v142(constB130)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28279, 2985, 28276])).
% 26.08/17.41 tff(28281,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28282,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28283,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28282, 28281])).
% 26.08/17.41 tff(28284,plain,
% 26.08/17.41 (v138(constB130) | (~v135(constB130))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28283, 24247, 28280])).
% 26.08/17.41 tff(28285,plain,
% 26.08/17.41 (~v135(constB130)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28284, 28268])).
% 26.08/17.41 tff(28286,plain,
% 26.08/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28287,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28288,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28287, 28286])).
% 26.08/17.41 tff(28289,plain,
% 26.08/17.41 (v135(constB130) | (~v137(constB131))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28288, 24262, 14711])).
% 26.08/17.41 tff(28290,plain,
% 26.08/17.41 (~v137(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28289, 28285])).
% 26.08/17.41 tff(28291,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB131) | (~v153(constB131)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB131) | (~v153(constB131)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28292,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB131) | (~v153(constB131)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28293,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB131) | (~v153(constB131))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28292, 28291])).
% 26.08/17.41 tff(28294,plain,
% 26.08/17.41 (~v153(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28293, 24437, 28290])).
% 26.08/17.41 tff(28295,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB131)) | (~v155(constB131)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB131)) | (~v155(constB131)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28296,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB131)) | (~v155(constB131)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28297,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB131)) | (~v155(constB131))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28296, 28295])).
% 26.08/17.41 tff(28298,plain,
% 26.08/17.41 (~v155(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28297, 24482, 28088])).
% 26.08/17.41 tff(28299,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v155(constB131) | (~v150(constB131)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v155(constB131) | (~v150(constB131)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28300,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v155(constB131) | (~v150(constB131)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28301,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v155(constB131) | (~v150(constB131))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28300, 28299])).
% 26.08/17.41 tff(28302,plain,
% 26.08/17.41 (v153(constB131) | (~v150(constB131))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28301, 24496, 28298])).
% 26.08/17.41 tff(28303,plain,
% 26.08/17.41 (~v150(constB131)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28302, 28294])).
% 26.08/17.41 tff(28304,plain,
% 26.08/17.41 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28305,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28306,plain,
% 26.08/17.41 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28305, 28304])).
% 26.08/17.41 tff(28307,plain,
% 26.08/17.41 (v150(constB131) | (~v152(constB132))),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28306, 24511, 14841])).
% 26.08/17.41 tff(28308,plain,
% 26.08/17.41 (~v152(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28307, 28303])).
% 26.08/17.41 tff(28309,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB132) | (~v155(constB132)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB132) | (~v155(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28310,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB132) | (~v155(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.41 tff(28311,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB132) | (~v155(constB132))),
% 26.08/17.41 inference(modus_ponens,[status(thm)],[28310, 28309])).
% 26.08/17.41 tff(28312,plain,
% 26.08/17.41 (~v155(constB132)),
% 26.08/17.41 inference(unit_resolution,[status(thm)],[28311, 24526, 28308])).
% 26.08/17.41 tff(28313,plain,
% 26.08/17.41 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB132) | (~v154(constB132)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB132) | (~v154(constB132)))),
% 26.08/17.41 inference(rewrite,[status(thm)],[])).
% 26.08/17.41 tff(28314,plain,
% 26.08/17.41 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB132) | (~v154(constB132)))),
% 26.08/17.41 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28315,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB132) | (~v154(constB132))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28314, 28313])).
% 26.08/17.42 tff(28316,plain,
% 26.08/17.42 (~v154(constB132)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28315, 24544, 28110])).
% 26.08/17.42 tff(28317,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB132) | (~v153(constB132)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB132) | (~v153(constB132)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28318,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB132) | (~v153(constB132)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28319,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB132) | (~v153(constB132))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28318, 28317])).
% 26.08/17.42 tff(28320,plain,
% 26.08/17.42 (~v153(constB132)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28319, 24558, 28316])).
% 26.08/17.42 tff(28321,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v155(constB132) | (~v150(constB132)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v155(constB132) | (~v150(constB132)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28322,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v155(constB132) | (~v150(constB132)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28323,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v155(constB132) | (~v150(constB132))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28322, 28321])).
% 26.08/17.42 tff(28324,plain,
% 26.08/17.42 (v155(constB132) | (~v150(constB132))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28323, 24496, 28320])).
% 26.08/17.42 tff(28325,plain,
% 26.08/17.42 (~v150(constB132)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28324, 28312])).
% 26.08/17.42 tff(28326,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28327,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28328,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28327, 28326])).
% 26.08/17.42 tff(28329,plain,
% 26.08/17.42 (v150(constB132) | (~v152(constB133))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28328, 24511, 14907])).
% 26.08/17.42 tff(28330,plain,
% 26.08/17.42 (~v152(constB133)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28329, 28325])).
% 26.08/17.42 tff(28331,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28332,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28333,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28332, 28331])).
% 26.08/17.42 tff(28334,plain,
% 26.08/17.42 (~v164(constB133)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28333, 24674, 28330])).
% 26.08/17.42 tff(28335,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28336,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28337,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28336, 28335])).
% 26.08/17.42 tff(28338,plain,
% 26.08/17.42 (~v163(constB133)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28337, 24179, 28163])).
% 26.08/17.42 tff(28339,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB133) | v164(constB133) | (~v160(constB133)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB133) | v164(constB133) | (~v160(constB133)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28340,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB133) | v164(constB133) | (~v160(constB133)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28341,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB133) | v164(constB133) | (~v160(constB133))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28340, 28339])).
% 26.08/17.42 tff(28342,plain,
% 26.08/17.42 (v164(constB133) | (~v160(constB133))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28341, 24688, 28338])).
% 26.08/17.42 tff(28343,plain,
% 26.08/17.42 (~v160(constB133)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28342, 28334])).
% 26.08/17.42 tff(28344,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28345,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28346,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28345, 28344])).
% 26.08/17.42 tff(28347,plain,
% 26.08/17.42 (v160(constB133) | (~v162(constB134))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28346, 24703, 15020])).
% 26.08/17.42 tff(28348,plain,
% 26.08/17.42 (~v162(constB134)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28347, 28343])).
% 26.08/17.42 tff(28349,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28350,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28351,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28350, 28349])).
% 26.08/17.42 tff(28352,plain,
% 26.08/17.42 (~v163(constB134)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28351, 24718, 28348])).
% 26.08/17.42 tff(28353,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB134) | (~v164(constB134)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB134) | (~v164(constB134)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28354,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB134) | (~v164(constB134)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28355,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB134) | (~v164(constB134))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28354, 28353])).
% 26.08/17.42 tff(28356,plain,
% 26.08/17.42 (~v164(constB134)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28355, 24740, 28189])).
% 26.08/17.42 tff(28357,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB134) | v164(constB134) | (~v160(constB134)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB134) | v164(constB134) | (~v160(constB134)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28358,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB134) | v164(constB134) | (~v160(constB134)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28359,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB134) | v164(constB134) | (~v160(constB134))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28358, 28357])).
% 26.08/17.42 tff(28360,plain,
% 26.08/17.42 (v163(constB134) | (~v160(constB134))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28359, 24688, 28356])).
% 26.08/17.42 tff(28361,plain,
% 26.08/17.42 (~v160(constB134)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28360, 28352])).
% 26.08/17.42 tff(28362,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28363,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28364,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28363, 28362])).
% 26.08/17.42 tff(28365,plain,
% 26.08/17.42 (v160(constB134) | (~v162(constB135))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28364, 24703, 15109])).
% 26.08/17.42 tff(28366,plain,
% 26.08/17.42 (~v162(constB135)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28365, 28361])).
% 26.08/17.42 tff(28367,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB135) | (~v163(constB135)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB135) | (~v163(constB135)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28368,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB135) | (~v163(constB135)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28369,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB135) | (~v163(constB135))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28368, 28367])).
% 26.08/17.42 tff(28370,plain,
% 26.08/17.42 (~v163(constB135)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28369, 24718, 28366])).
% 26.08/17.42 tff(28371,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB135) | v164(constB135) | (~v160(constB135)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB135) | v164(constB135) | (~v160(constB135)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28372,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB135) | v164(constB135) | (~v160(constB135)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28373,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB135) | v164(constB135) | (~v160(constB135))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28372, 28371])).
% 26.08/17.42 tff(28374,plain,
% 26.08/17.42 (v164(constB135) | (~v160(constB135))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28373, 24688, 28370])).
% 26.08/17.42 tff(28375,plain,
% 26.08/17.42 (~v160(constB135)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28374, 28207])).
% 26.08/17.42 tff(28376,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28377,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28378,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB135, constB136)) | v160(constB135) | (~v162(constB136))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28377, 28376])).
% 26.08/17.42 tff(28379,plain,
% 26.08/17.42 (v160(constB135) | (~v162(constB136))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28378, 24703, 15262])).
% 26.08/17.42 tff(28380,plain,
% 26.08/17.42 (~v162(constB136)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28379, 28375])).
% 26.08/17.42 tff(28381,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB136) | (~v163(constB136)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB136) | (~v163(constB136)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28382,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB136) | (~v163(constB136)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28383,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB136) | (~v163(constB136))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28382, 28381])).
% 26.08/17.42 tff(28384,plain,
% 26.08/17.42 (~v163(constB136)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28383, 24718, 28380])).
% 26.08/17.42 tff(28385,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB136)) | (~v141(constB136)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB136)) | (~v141(constB136)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28386,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB136)) | (~v141(constB136)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28387,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB136)) | (~v141(constB136))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28386, 28385])).
% 26.08/17.42 tff(28388,plain,
% 26.08/17.42 (~v141(constB136)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28387, 24291, 15282])).
% 26.08/17.42 tff(28389,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB136) | (~v154(constB136)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB136) | (~v154(constB136)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28390,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB136) | (~v154(constB136)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28391,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB136) | (~v154(constB136))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28390, 28389])).
% 26.08/17.42 tff(28392,plain,
% 26.08/17.42 (~v154(constB136)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28391, 24544, 28388])).
% 26.08/17.42 tff(28393,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB136) | (~v164(constB136)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB136) | (~v164(constB136)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28394,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB136) | (~v164(constB136)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28395,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB136) | (~v164(constB136))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28394, 28393])).
% 26.08/17.42 tff(28396,plain,
% 26.08/17.42 (~v164(constB136)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28395, 24740, 28392])).
% 26.08/17.42 tff(28397,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB136) | v164(constB136) | (~v160(constB136)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB136) | v164(constB136) | (~v160(constB136)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28398,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB136) | v164(constB136) | (~v160(constB136)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28399,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB136) | v164(constB136) | (~v160(constB136))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28398, 28397])).
% 26.08/17.42 tff(28400,plain,
% 26.08/17.42 (v163(constB136) | (~v160(constB136))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28399, 24688, 28396])).
% 26.08/17.42 tff(28401,plain,
% 26.08/17.42 (~v160(constB136)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28400, 28384])).
% 26.08/17.42 tff(28402,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28403,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28404,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB136, constB137)) | v160(constB136) | (~v162(constB137))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28403, 28402])).
% 26.08/17.42 tff(28405,plain,
% 26.08/17.42 (v160(constB136) | (~v162(constB137))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28404, 24703, 15324])).
% 26.08/17.42 tff(28406,plain,
% 26.08/17.42 (~v162(constB137)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28405, 28401])).
% 26.08/17.42 tff(28407,plain,
% 26.08/17.42 ($false),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28406, 28045])).
% 26.08/17.42 tff(28408,plain,(~(constB137 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.42 tff(28409,assumption,(constB169 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.42 tff(28410,plain,
% 26.08/17.42 (v162(constB169) <=> v162(sK0_VarCurr)),
% 26.08/17.42 inference(monotonicity,[status(thm)],[28409])).
% 26.08/17.42 tff(28411,plain,
% 26.08/17.42 (v162(sK0_VarCurr) <=> v162(constB169)),
% 26.08/17.42 inference(symmetry,[status(thm)],[28410])).
% 26.08/17.42 tff(28412,plain,
% 26.08/17.42 (v162(constB169)),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[24130, 28411])).
% 26.08/17.42 tff(28413,plain,
% 26.08/17.42 (v111(constB161)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19569, 961, 19562])).
% 26.08/17.42 tff(28414,plain,
% 26.08/17.42 (v110(constB161)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19576, 207, 28413])).
% 26.08/17.42 tff(28415,plain,
% 26.08/17.42 (v109(constB161)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19583, 221, 28414])).
% 26.08/17.42 tff(28416,plain,
% 26.08/17.42 (v108(constB161)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19587, 235, 28415])).
% 26.08/17.42 tff(28417,plain,
% 26.08/17.42 (v107(constB161)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19594, 249, 28416])).
% 26.08/17.42 tff(28418,plain,
% 26.08/17.42 (v106(constB161)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19606, 28417])).
% 26.08/17.42 tff(28419,plain,
% 26.08/17.42 (v102(constB161)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19613, 275, 28418])).
% 26.08/17.42 tff(28420,plain,
% 26.08/17.42 (v104(constB162)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19624, 28419])).
% 26.08/17.42 tff(28421,plain,
% 26.08/17.42 (v94(constB162)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19650, 28420])).
% 26.08/17.42 tff(28422,plain,
% 26.08/17.42 (v124(constB161, bitIndex1)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19734, 1102, 19562])).
% 26.08/17.42 tff(28423,plain,
% 26.08/17.42 (v121(constB161, bitIndex1)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19739, 28422])).
% 26.08/17.42 tff(28424,plain,
% 26.08/17.42 (v123(constB162, bitIndex1)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19744, 28423])).
% 26.08/17.42 tff(28425,plain,
% 26.08/17.42 (v84(constB162, bitIndex1) | (~v94(constB162))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19751, 842, 28424])).
% 26.08/17.42 tff(28426,plain,
% 26.08/17.42 (v84(constB162, bitIndex1)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28425, 28421])).
% 26.08/17.42 tff(28427,plain,
% 26.08/17.42 (v84(constB163, bitIndex1)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[19761, 28426])).
% 26.08/17.42 tff(28428,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB163)) | (~v84(constB163, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB163)) | (~v84(constB163, bitIndex1)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28429,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB163)) | (~v84(constB163, bitIndex1)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28430,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB163)) | (~v84(constB163, bitIndex1))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28429, 28428])).
% 26.08/17.42 tff(28431,plain,
% 26.08/17.42 (~v145(constB163)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28430, 2018, 28427])).
% 26.08/17.42 tff(28432,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB163) | (~v144(constB163)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB163) | (~v144(constB163)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28433,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB163) | (~v144(constB163)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28434,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB163) | (~v144(constB163))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28433, 28432])).
% 26.08/17.42 tff(28435,plain,
% 26.08/17.42 (~v144(constB163)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28434, 2971, 28431])).
% 26.08/17.42 tff(28436,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB163) | (~v142(constB163)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB163) | (~v142(constB163)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28437,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB163) | (~v142(constB163)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28438,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB163) | (~v142(constB163))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28437, 28436])).
% 26.08/17.42 tff(28439,plain,
% 26.08/17.42 (~v142(constB163)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28438, 2985, 28435])).
% 26.08/17.42 tff(28440,assumption,(v18(constB164)), introduced(assumption)).
% 26.08/17.42 tff(28441,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB164))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28442,plain,
% 26.08/17.42 ($false),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28441, 3012, 28440])).
% 26.08/17.42 tff(28443,plain,(~v18(constB164)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.42 tff(28444,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28445,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB164) | (~v1(constB164)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28446,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB164) | (~v1(constB164))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28445, 28444])).
% 26.08/17.42 tff(28447,plain,
% 26.08/17.42 (v22(constB164)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28446, 3028, 19834])).
% 26.08/17.42 tff(28448,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB164) | (~v22(constB164)) | (~v19(constB164)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB164) | (~v22(constB164)) | (~v19(constB164)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28449,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB164) | (~v22(constB164)) | (~v19(constB164)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28450,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB164) | (~v22(constB164)) | (~v19(constB164))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28449, 28448])).
% 26.08/17.42 tff(28451,plain,
% 26.08/17.42 (v18(constB164) | (~v19(constB164))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28450, 3042, 28447])).
% 26.08/17.42 tff(28452,plain,
% 26.08/17.42 (~v19(constB164)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28451, 28443])).
% 26.08/17.42 tff(28453,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28454,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB164) | v19(constB164))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28455,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB164) | v19(constB164)),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28454, 28453])).
% 26.08/17.42 tff(28456,plain,
% 26.08/17.42 (v13(constB164)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28455, 3054, 28452])).
% 26.08/17.42 tff(28457,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28458,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28459,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB163) | (~v13(constB164)) | (~nextState(constB163, constB164))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28458, 28457])).
% 26.08/17.42 tff(28460,plain,
% 26.08/17.42 (v9(constB163) | (~v13(constB164))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28459, 3068, 19814])).
% 26.08/17.42 tff(28461,plain,
% 26.08/17.42 (v9(constB163)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28460, 28456])).
% 26.08/17.42 tff(28462,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v141(constB163))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB163) | (~v9(constB163)) | v141(constB163))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28463,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB163) | (~v9(constB163)) | v141(constB163))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28464,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB163) | (~v9(constB163)) | v141(constB163)),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28463, 28462])).
% 26.08/17.42 tff(28465,plain,
% 26.08/17.42 ((~v9(constB163)) | v141(constB163)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28464, 3083, 19676])).
% 26.08/17.42 tff(28466,plain,
% 26.08/17.42 (v141(constB163)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28465, 28461])).
% 26.08/17.42 tff(28467,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB163) | (~v141(constB163)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB163) | (~v141(constB163)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28468,plain,
% 26.08/17.42 (((~v141(constB163)) | v140(constB163)) <=> (v140(constB163) | (~v141(constB163)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28469,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB163)) | v140(constB163))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB163) | (~v141(constB163))))),
% 26.08/17.42 inference(monotonicity,[status(thm)],[28468])).
% 26.08/17.42 tff(28470,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB163)) | v140(constB163))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB163) | (~v141(constB163)))),
% 26.08/17.42 inference(transitivity,[status(thm)],[28469, 28467])).
% 26.08/17.42 tff(28471,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB163)) | v140(constB163))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28472,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB163) | (~v141(constB163))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28471, 28470])).
% 26.08/17.42 tff(28473,plain,
% 26.08/17.42 (v140(constB163)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28472, 24165, 28466])).
% 26.08/17.42 tff(28474,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB163)) | (~v140(constB163)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB163)) | (~v140(constB163)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28475,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB163)) | (~v140(constB163)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28476,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB163)) | (~v140(constB163))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28475, 28474])).
% 26.08/17.42 tff(28477,plain,
% 26.08/17.42 (~v138(constB163)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28476, 24221, 28473])).
% 26.08/17.42 tff(28478,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB163) | v142(constB163) | (~v135(constB163)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB163) | v142(constB163) | (~v135(constB163)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28479,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB163) | v142(constB163) | (~v135(constB163)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28480,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB163) | v142(constB163) | (~v135(constB163))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28479, 28478])).
% 26.08/17.42 tff(28481,plain,
% 26.08/17.42 (v142(constB163) | (~v135(constB163))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28480, 24247, 28477])).
% 26.08/17.42 tff(28482,plain,
% 26.08/17.42 (~v135(constB163)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28481, 28439])).
% 26.08/17.42 tff(28483,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28484,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28485,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB163, constB164)) | v135(constB163) | (~v137(constB164))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28484, 28483])).
% 26.08/17.42 tff(28486,plain,
% 26.08/17.42 (v135(constB163) | (~v137(constB164))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28485, 24262, 19814])).
% 26.08/17.42 tff(28487,plain,
% 26.08/17.42 (~v137(constB164)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28486, 28482])).
% 26.08/17.42 tff(28488,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB164) | (~v138(constB164)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB164) | (~v138(constB164)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28489,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB164) | (~v138(constB164)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28490,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB164) | (~v138(constB164))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28489, 28488])).
% 26.08/17.42 tff(28491,plain,
% 26.08/17.42 (~v138(constB164)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28490, 24277, 28487])).
% 26.08/17.42 tff(28492,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB164)) | (~v141(constB164)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB164)) | (~v141(constB164)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28493,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB164)) | (~v141(constB164)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28494,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB164)) | (~v141(constB164))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28493, 28492])).
% 26.08/17.42 tff(28495,plain,
% 26.08/17.42 (~v141(constB164)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28494, 24291, 19834])).
% 26.08/17.42 tff(28496,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB164) | (~v144(constB164)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB164) | (~v144(constB164)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28497,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB164) | (~v144(constB164)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28498,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB164) | (~v144(constB164))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28497, 28496])).
% 26.08/17.42 tff(28499,plain,
% 26.08/17.42 (~v144(constB164)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28498, 24305, 28495])).
% 26.08/17.42 tff(28500,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB164) | (~v142(constB164)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB164) | (~v142(constB164)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28501,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB164) | (~v142(constB164)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28502,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB164) | (~v142(constB164))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28501, 28500])).
% 26.08/17.42 tff(28503,plain,
% 26.08/17.42 (~v142(constB164)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28502, 2985, 28499])).
% 26.08/17.42 tff(28504,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB164) | v142(constB164) | (~v135(constB164)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB164) | v142(constB164) | (~v135(constB164)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28505,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB164) | v142(constB164) | (~v135(constB164)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28506,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB164) | v142(constB164) | (~v135(constB164))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28505, 28504])).
% 26.08/17.42 tff(28507,plain,
% 26.08/17.42 (v138(constB164) | (~v135(constB164))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28506, 24247, 28503])).
% 26.08/17.42 tff(28508,plain,
% 26.08/17.42 (~v135(constB164)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28507, 28491])).
% 26.08/17.42 tff(28509,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28510,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28511,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB164, constB165)) | v135(constB164) | (~v137(constB165))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28510, 28509])).
% 26.08/17.42 tff(28512,plain,
% 26.08/17.42 (v135(constB164) | (~v137(constB165))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28511, 24262, 19876])).
% 26.08/17.42 tff(28513,plain,
% 26.08/17.42 (~v137(constB165)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28512, 28508])).
% 26.08/17.42 tff(28514,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB165) | (~v153(constB165)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB165) | (~v153(constB165)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28515,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB165) | (~v153(constB165)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28516,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB165) | (~v153(constB165))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28515, 28514])).
% 26.08/17.42 tff(28517,plain,
% 26.08/17.42 (~v153(constB165)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28516, 24437, 28513])).
% 26.08/17.42 tff(28518,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB165)) | (~v155(constB165)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB165)) | (~v155(constB165)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28519,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB165)) | (~v155(constB165)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28520,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB165)) | (~v155(constB165))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28519, 28518])).
% 26.08/17.42 tff(28521,plain,
% 26.08/17.42 (~v155(constB165)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28520, 24482, 27887])).
% 26.08/17.42 tff(28522,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB165) | v155(constB165) | (~v150(constB165)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB165) | v155(constB165) | (~v150(constB165)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28523,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB165) | v155(constB165) | (~v150(constB165)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28524,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB165) | v155(constB165) | (~v150(constB165))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28523, 28522])).
% 26.08/17.42 tff(28525,plain,
% 26.08/17.42 (v153(constB165) | (~v150(constB165))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28524, 24496, 28521])).
% 26.08/17.42 tff(28526,plain,
% 26.08/17.42 (~v150(constB165)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28525, 28517])).
% 26.08/17.42 tff(28527,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28528,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28529,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB165, constB166)) | v150(constB165) | (~v152(constB166))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28528, 28527])).
% 26.08/17.42 tff(28530,plain,
% 26.08/17.42 (v150(constB165) | (~v152(constB166))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28529, 24511, 20006])).
% 26.08/17.42 tff(28531,plain,
% 26.08/17.42 (~v152(constB166)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28530, 28526])).
% 26.08/17.42 tff(28532,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB166) | (~v155(constB166)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB166) | (~v155(constB166)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28533,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB166) | (~v155(constB166)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28534,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB166) | (~v155(constB166))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28533, 28532])).
% 26.08/17.42 tff(28535,plain,
% 26.08/17.42 (~v155(constB166)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28534, 24526, 28531])).
% 26.08/17.42 tff(28536,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB166) | (~v154(constB166)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB166) | (~v154(constB166)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28537,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB166) | (~v154(constB166)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28538,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB166) | (~v154(constB166))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28537, 28536])).
% 26.08/17.42 tff(28539,plain,
% 26.08/17.42 (~v154(constB166)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28538, 24544, 27909])).
% 26.08/17.42 tff(28540,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB166) | (~v153(constB166)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB166) | (~v153(constB166)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28541,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB166) | (~v153(constB166)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28542,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB166) | (~v153(constB166))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28541, 28540])).
% 26.08/17.42 tff(28543,plain,
% 26.08/17.42 (~v153(constB166)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28542, 24558, 28539])).
% 26.08/17.42 tff(28544,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB166) | v155(constB166) | (~v150(constB166)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB166) | v155(constB166) | (~v150(constB166)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28545,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB166) | v155(constB166) | (~v150(constB166)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28546,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB166) | v155(constB166) | (~v150(constB166))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28545, 28544])).
% 26.08/17.42 tff(28547,plain,
% 26.08/17.42 (v155(constB166) | (~v150(constB166))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28546, 24496, 28543])).
% 26.08/17.42 tff(28548,plain,
% 26.08/17.42 (~v150(constB166)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28547, 28535])).
% 26.08/17.42 tff(28549,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28550,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28551,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB166, constB167)) | v150(constB166) | (~v152(constB167))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28550, 28549])).
% 26.08/17.42 tff(28552,plain,
% 26.08/17.42 (v150(constB166) | (~v152(constB167))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28551, 24511, 20068])).
% 26.08/17.42 tff(28553,plain,
% 26.08/17.42 (~v152(constB167)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28552, 28548])).
% 26.08/17.42 tff(28554,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB167) | (~v164(constB167)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB167) | (~v164(constB167)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28555,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB167) | (~v164(constB167)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28556,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB167) | (~v164(constB167))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28555, 28554])).
% 26.08/17.42 tff(28557,plain,
% 26.08/17.42 (~v164(constB167)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28556, 24674, 28553])).
% 26.08/17.42 tff(28558,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB167)) | (~v163(constB167)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB167)) | (~v163(constB167)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28559,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB167)) | (~v163(constB167)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28560,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB167)) | (~v163(constB167))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28559, 28558])).
% 26.08/17.42 tff(28561,plain,
% 26.08/17.42 (~v163(constB167)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28560, 24179, 24789])).
% 26.08/17.42 tff(28562,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB167) | v164(constB167) | (~v160(constB167)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB167) | v164(constB167) | (~v160(constB167)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28563,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB167) | v164(constB167) | (~v160(constB167)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28564,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB167) | v164(constB167) | (~v160(constB167))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28563, 28562])).
% 26.08/17.42 tff(28565,plain,
% 26.08/17.42 (v164(constB167) | (~v160(constB167))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28564, 24688, 28561])).
% 26.08/17.42 tff(28566,plain,
% 26.08/17.42 (~v160(constB167)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28565, 28557])).
% 26.08/17.42 tff(28567,plain,
% 26.08/17.42 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28568,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28569,plain,
% 26.08/17.42 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB167, constB168)) | v160(constB167) | (~v162(constB168))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 26.08/17.42 tff(28570,plain,
% 26.08/17.42 (v160(constB167) | (~v162(constB168))),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28569, 24703, 20204])).
% 26.08/17.42 tff(28571,plain,
% 26.08/17.42 (~v162(constB168)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28570, 28566])).
% 26.08/17.42 tff(28572,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB168) | (~v163(constB168)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB168) | (~v163(constB168)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28573,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB168) | (~v163(constB168)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28574,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB168) | (~v163(constB168))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28573, 28572])).
% 26.08/17.42 tff(28575,plain,
% 26.08/17.42 (~v163(constB168)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28574, 24718, 28571])).
% 26.08/17.42 tff(28576,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB168) | (~v164(constB168)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB168) | (~v164(constB168)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28577,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB168) | (~v164(constB168)))),
% 26.08/17.42 inference(quant_inst,[status(thm)],[])).
% 26.08/17.42 tff(28578,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB168) | (~v164(constB168))),
% 26.08/17.42 inference(modus_ponens,[status(thm)],[28577, 28576])).
% 26.08/17.42 tff(28579,plain,
% 26.08/17.42 (~v164(constB168)),
% 26.08/17.42 inference(unit_resolution,[status(thm)],[28578, 24740, 27953])).
% 26.08/17.42 tff(28580,plain,
% 26.08/17.42 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB168) | v164(constB168) | (~v160(constB168)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB168) | v164(constB168) | (~v160(constB168)))),
% 26.08/17.42 inference(rewrite,[status(thm)],[])).
% 26.08/17.42 tff(28581,plain,
% 26.08/17.42 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB168) | v164(constB168) | (~v160(constB168)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28582,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB168) | v164(constB168) | (~v160(constB168))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28581, 28580])).
% 26.08/17.43 tff(28583,plain,
% 26.08/17.43 (v163(constB168) | (~v160(constB168))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28582, 24688, 28579])).
% 26.08/17.43 tff(28584,plain,
% 26.08/17.43 (~v160(constB168)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28583, 28575])).
% 26.08/17.43 tff(28585,plain,
% 26.08/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28586,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28587,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB168, constB169)) | v160(constB168) | (~v162(constB169))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28586, 28585])).
% 26.08/17.43 tff(28588,plain,
% 26.08/17.43 (v160(constB168) | (~v162(constB169))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28587, 24703, 20337])).
% 26.08/17.43 tff(28589,plain,
% 26.08/17.43 (~v162(constB169)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28588, 28584])).
% 26.08/17.43 tff(28590,plain,
% 26.08/17.43 ($false),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28589, 28412])).
% 26.08/17.43 tff(28591,plain,(~(constB169 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.43 tff(28592,assumption,(constB66 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.43 tff(28593,plain,
% 26.08/17.43 (v1(constB66) <=> v1(sK0_VarCurr)),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28592])).
% 26.08/17.43 tff(28594,plain,
% 26.08/17.43 (v1(sK0_VarCurr) <=> v1(constB66)),
% 26.08/17.43 inference(symmetry,[status(thm)],[28593])).
% 26.08/17.43 tff(28595,plain,
% 26.08/17.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB66))),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28594])).
% 26.08/17.43 tff(28596,plain,
% 26.08/17.43 (~v1(constB66)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[25472, 28595])).
% 26.08/17.43 tff(28597,plain,
% 26.08/17.43 ($false),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[7871, 28596])).
% 26.08/17.43 tff(28598,plain,(~(constB66 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.43 tff(28599,assumption,(constB196 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.43 tff(28600,plain,
% 26.08/17.43 (v1(constB196) <=> v1(sK0_VarCurr)),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28599])).
% 26.08/17.43 tff(28601,plain,
% 26.08/17.43 (v1(sK0_VarCurr) <=> v1(constB196)),
% 26.08/17.43 inference(symmetry,[status(thm)],[28600])).
% 26.08/17.43 tff(28602,plain,
% 26.08/17.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB196))),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28601])).
% 26.08/17.43 tff(28603,plain,
% 26.08/17.43 (~v1(constB196)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[25472, 28602])).
% 26.08/17.43 tff(28604,plain,
% 26.08/17.43 (v1(constB196) <=> v1(constB196)),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28605,axiom,(v1(constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_196_1')).
% 26.08/17.43 tff(28606,plain,
% 26.08/17.43 (v1(constB196)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28605, 28604])).
% 26.08/17.43 tff(28607,plain,
% 26.08/17.43 ($false),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28606, 28603])).
% 26.08/17.43 tff(28608,plain,(~(constB196 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.43 tff(28609,assumption,(constB176 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.43 tff(28610,plain,
% 26.08/17.43 (v1(constB176) <=> v1(sK0_VarCurr)),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28609])).
% 26.08/17.43 tff(28611,plain,
% 26.08/17.43 (v1(sK0_VarCurr) <=> v1(constB176)),
% 26.08/17.43 inference(symmetry,[status(thm)],[28610])).
% 26.08/17.43 tff(28612,plain,
% 26.08/17.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB176))),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28611])).
% 26.08/17.43 tff(28613,plain,
% 26.08/17.43 (~v1(constB176)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[25472, 28612])).
% 26.08/17.43 tff(28614,plain,
% 26.08/17.43 ($false),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[21686, 28613])).
% 26.08/17.43 tff(28615,plain,(~(constB176 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.43 tff(28616,assumption,(constB115 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.43 tff(28617,plain,
% 26.08/17.43 (v162(constB115) <=> v162(sK0_VarCurr)),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28616])).
% 26.08/17.43 tff(28618,plain,
% 26.08/17.43 (v162(sK0_VarCurr) <=> v162(constB115)),
% 26.08/17.43 inference(symmetry,[status(thm)],[28617])).
% 26.08/17.43 tff(28619,plain,
% 26.08/17.43 (v162(constB115)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[24130, 28618])).
% 26.08/17.43 tff(28620,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB109) | (~v144(constB109)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB109) | (~v144(constB109)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28621,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB109) | (~v144(constB109)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28622,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB109) | (~v144(constB109))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28621, 28620])).
% 26.08/17.43 tff(28623,plain,
% 26.08/17.43 (~v144(constB109)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28622, 2971, 12690])).
% 26.08/17.43 tff(28624,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB109) | (~v142(constB109)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB109) | (~v142(constB109)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28625,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB109) | (~v142(constB109)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28626,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB109) | (~v142(constB109))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28625, 28624])).
% 26.08/17.43 tff(28627,plain,
% 26.08/17.43 (~v142(constB109)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28626, 2985, 28623])).
% 26.08/17.43 tff(28628,assumption,(v18(constB110)), introduced(assumption)).
% 26.08/17.43 tff(28629,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB110))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28630,plain,
% 26.08/17.43 ($false),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28629, 3012, 28628])).
% 26.08/17.43 tff(28631,plain,(~v18(constB110)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.43 tff(28632,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28633,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB110) | (~v1(constB110)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28634,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB110) | (~v1(constB110))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28633, 28632])).
% 26.08/17.43 tff(28635,plain,
% 26.08/17.43 (v22(constB110)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28634, 3028, 12656])).
% 26.08/17.43 tff(28636,plain,
% 26.08/17.43 (((~![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)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28637,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB110) | (~v22(constB110)) | (~v19(constB110)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28638,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB110) | (~v22(constB110)) | (~v19(constB110))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28637, 28636])).
% 26.08/17.43 tff(28639,plain,
% 26.08/17.43 (v18(constB110) | (~v19(constB110))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28638, 3042, 28635])).
% 26.08/17.43 tff(28640,plain,
% 26.08/17.43 (~v19(constB110)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28639, 28631])).
% 26.08/17.43 tff(28641,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28642,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB110) | v19(constB110))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28643,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB110) | v19(constB110)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28642, 28641])).
% 26.08/17.43 tff(28644,plain,
% 26.08/17.43 (v13(constB110)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28643, 3054, 28640])).
% 26.08/17.43 tff(28645,plain,
% 26.08/17.43 (((~![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)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28646,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28647,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB109) | (~v13(constB110)) | (~nextState(constB109, constB110))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28646, 28645])).
% 26.08/17.43 tff(28648,plain,
% 26.08/17.43 (v9(constB109) | (~v13(constB110))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28647, 3068, 12636])).
% 26.08/17.43 tff(28649,plain,
% 26.08/17.43 (v9(constB109)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28648, 28644])).
% 26.08/17.43 tff(28650,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v141(constB109))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB109) | (~v9(constB109)) | v141(constB109))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28651,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB109) | (~v9(constB109)) | v141(constB109))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28652,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB109) | (~v9(constB109)) | v141(constB109)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28651, 28650])).
% 26.08/17.43 tff(28653,plain,
% 26.08/17.43 ((~v9(constB109)) | v141(constB109)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28652, 3083, 12512])).
% 26.08/17.43 tff(28654,plain,
% 26.08/17.43 (v141(constB109)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28653, 28649])).
% 26.08/17.43 tff(28655,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB109) | (~v141(constB109)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB109) | (~v141(constB109)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28656,plain,
% 26.08/17.43 (((~v141(constB109)) | v140(constB109)) <=> (v140(constB109) | (~v141(constB109)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28657,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB109)) | v140(constB109))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB109) | (~v141(constB109))))),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28656])).
% 26.08/17.43 tff(28658,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB109)) | v140(constB109))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB109) | (~v141(constB109)))),
% 26.08/17.43 inference(transitivity,[status(thm)],[28657, 28655])).
% 26.08/17.43 tff(28659,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB109)) | v140(constB109))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28660,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB109) | (~v141(constB109))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28659, 28658])).
% 26.08/17.43 tff(28661,plain,
% 26.08/17.43 (v140(constB109)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28660, 24165, 28654])).
% 26.08/17.43 tff(28662,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB109)) | (~v140(constB109)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB109)) | (~v140(constB109)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28663,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB109)) | (~v140(constB109)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28664,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB109)) | (~v140(constB109))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28663, 28662])).
% 26.08/17.43 tff(28665,plain,
% 26.08/17.43 (~v138(constB109)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28664, 24221, 28661])).
% 26.08/17.43 tff(28666,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB109) | v142(constB109) | (~v135(constB109)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB109) | v142(constB109) | (~v135(constB109)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28667,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB109) | v142(constB109) | (~v135(constB109)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28668,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB109) | v142(constB109) | (~v135(constB109))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28667, 28666])).
% 26.08/17.43 tff(28669,plain,
% 26.08/17.43 (v142(constB109) | (~v135(constB109))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28668, 24247, 28665])).
% 26.08/17.43 tff(28670,plain,
% 26.08/17.43 (~v135(constB109)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28669, 28627])).
% 26.08/17.43 tff(28671,plain,
% 26.08/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28672,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28673,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB109, constB110)) | v135(constB109) | (~v137(constB110))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28672, 28671])).
% 26.08/17.43 tff(28674,plain,
% 26.08/17.43 (v135(constB109) | (~v137(constB110))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28673, 24262, 12636])).
% 26.08/17.43 tff(28675,plain,
% 26.08/17.43 (~v137(constB110)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28674, 28670])).
% 26.08/17.43 tff(28676,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB110) | (~v138(constB110)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB110) | (~v138(constB110)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28677,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB110) | (~v138(constB110)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28678,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB110) | (~v138(constB110))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28677, 28676])).
% 26.08/17.43 tff(28679,plain,
% 26.08/17.43 (~v138(constB110)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28678, 24277, 28675])).
% 26.08/17.43 tff(28680,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB110)) | (~v141(constB110)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB110)) | (~v141(constB110)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28681,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB110)) | (~v141(constB110)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28682,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB110)) | (~v141(constB110))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28681, 28680])).
% 26.08/17.43 tff(28683,plain,
% 26.08/17.43 (~v141(constB110)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28682, 24291, 12656])).
% 26.08/17.43 tff(28684,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB110) | (~v144(constB110)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB110) | (~v144(constB110)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28685,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB110) | (~v144(constB110)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28686,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB110) | (~v144(constB110))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28685, 28684])).
% 26.08/17.43 tff(28687,plain,
% 26.08/17.43 (~v144(constB110)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28686, 24305, 28683])).
% 26.08/17.43 tff(28688,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB110) | (~v142(constB110)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB110) | (~v142(constB110)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28689,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB110) | (~v142(constB110)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28690,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB110) | (~v142(constB110))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28689, 28688])).
% 26.08/17.43 tff(28691,plain,
% 26.08/17.43 (~v142(constB110)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28690, 2985, 28687])).
% 26.08/17.43 tff(28692,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB110) | v142(constB110) | (~v135(constB110)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB110) | v142(constB110) | (~v135(constB110)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28693,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB110) | v142(constB110) | (~v135(constB110)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28694,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB110) | v142(constB110) | (~v135(constB110))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28693, 28692])).
% 26.08/17.43 tff(28695,plain,
% 26.08/17.43 (v138(constB110) | (~v135(constB110))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28694, 24247, 28691])).
% 26.08/17.43 tff(28696,plain,
% 26.08/17.43 (~v135(constB110)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28695, 28679])).
% 26.08/17.43 tff(28697,plain,
% 26.08/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28698,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28699,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB110, constB111)) | v135(constB110) | (~v137(constB111))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28698, 28697])).
% 26.08/17.43 tff(28700,plain,
% 26.08/17.43 (v135(constB110) | (~v137(constB111))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28699, 24262, 12725])).
% 26.08/17.43 tff(28701,plain,
% 26.08/17.43 (~v137(constB111)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28700, 28696])).
% 26.08/17.43 tff(28702,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB111) | (~v153(constB111)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB111) | (~v153(constB111)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28703,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB111) | (~v153(constB111)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28704,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB111) | (~v153(constB111))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28703, 28702])).
% 26.08/17.43 tff(28705,plain,
% 26.08/17.43 (~v153(constB111)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28704, 24437, 28701])).
% 26.08/17.43 tff(28706,assumption,(v18(constB112)), introduced(assumption)).
% 26.08/17.43 tff(28707,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB112))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28708,plain,
% 26.08/17.43 ($false),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28707, 3012, 28706])).
% 26.08/17.43 tff(28709,plain,(~v18(constB112)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.43 tff(28710,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28711,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB112) | (~v1(constB112)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28712,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB112) | (~v1(constB112))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28711, 28710])).
% 26.08/17.43 tff(28713,plain,
% 26.08/17.43 (v22(constB112)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28712, 3028, 12893])).
% 26.08/17.43 tff(28714,plain,
% 26.08/17.43 (((~![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)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28715,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB112) | (~v22(constB112)) | (~v19(constB112)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28716,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB112) | (~v22(constB112)) | (~v19(constB112))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28715, 28714])).
% 26.08/17.43 tff(28717,plain,
% 26.08/17.43 (v18(constB112) | (~v19(constB112))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28716, 3042, 28713])).
% 26.08/17.43 tff(28718,plain,
% 26.08/17.43 (~v19(constB112)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28717, 28709])).
% 26.08/17.43 tff(28719,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28720,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB112) | v19(constB112))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28721,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB112) | v19(constB112)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28720, 28719])).
% 26.08/17.43 tff(28722,plain,
% 26.08/17.43 (v13(constB112)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28721, 3054, 28718])).
% 26.08/17.43 tff(28723,plain,
% 26.08/17.43 (((~![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)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28724,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28725,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB111) | (~v13(constB112)) | (~nextState(constB111, constB112))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28724, 28723])).
% 26.08/17.43 tff(28726,plain,
% 26.08/17.43 (v9(constB111) | (~v13(constB112))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28725, 3068, 12873])).
% 26.08/17.43 tff(28727,plain,
% 26.08/17.43 (v9(constB111)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28726, 28722])).
% 26.08/17.43 tff(28728,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v141(constB111))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB111) | (~v9(constB111)) | v141(constB111))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28729,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB111) | (~v9(constB111)) | v141(constB111))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28730,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB111) | (~v9(constB111)) | v141(constB111)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28729, 28728])).
% 26.08/17.43 tff(28731,plain,
% 26.08/17.43 ((~v9(constB111)) | v141(constB111)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28730, 3083, 12722])).
% 26.08/17.43 tff(28732,plain,
% 26.08/17.43 (v141(constB111)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28731, 28727])).
% 26.08/17.43 tff(28733,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB111)) | v140(constB111))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB111)) | v140(constB111))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28734,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB111)) | v140(constB111))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28735,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB111)) | v140(constB111)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28734, 28733])).
% 26.08/17.43 tff(28736,plain,
% 26.08/17.43 (v140(constB111)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28735, 24165, 28732])).
% 26.08/17.43 tff(28737,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB111)) | (~v155(constB111)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB111)) | (~v155(constB111)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28738,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB111)) | (~v155(constB111)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28739,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB111)) | (~v155(constB111))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28738, 28737])).
% 26.08/17.43 tff(28740,plain,
% 26.08/17.43 (~v155(constB111)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28739, 24482, 28736])).
% 26.08/17.43 tff(28741,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB111) | v155(constB111) | (~v150(constB111)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB111) | v155(constB111) | (~v150(constB111)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28742,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB111) | v155(constB111) | (~v150(constB111)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28743,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB111) | v155(constB111) | (~v150(constB111))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28742, 28741])).
% 26.08/17.43 tff(28744,plain,
% 26.08/17.43 (v153(constB111) | (~v150(constB111))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28743, 24496, 28740])).
% 26.08/17.43 tff(28745,plain,
% 26.08/17.43 (~v150(constB111)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28744, 28705])).
% 26.08/17.43 tff(28746,plain,
% 26.08/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28747,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28748,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB111, constB112)) | v150(constB111) | (~v152(constB112))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28747, 28746])).
% 26.08/17.43 tff(28749,plain,
% 26.08/17.43 (v150(constB111) | (~v152(constB112))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28748, 24511, 12873])).
% 26.08/17.43 tff(28750,plain,
% 26.08/17.43 (~v152(constB112)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28749, 28745])).
% 26.08/17.43 tff(28751,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB112) | (~v155(constB112)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB112) | (~v155(constB112)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28752,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB112) | (~v155(constB112)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28753,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB112) | (~v155(constB112))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28752, 28751])).
% 26.08/17.43 tff(28754,plain,
% 26.08/17.43 (~v155(constB112)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28753, 24526, 28750])).
% 26.08/17.43 tff(28755,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB112)) | (~v141(constB112)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB112)) | (~v141(constB112)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28756,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB112)) | (~v141(constB112)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28757,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB112)) | (~v141(constB112))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28756, 28755])).
% 26.08/17.43 tff(28758,plain,
% 26.08/17.43 (~v141(constB112)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28757, 24291, 12893])).
% 26.08/17.43 tff(28759,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB112) | (~v154(constB112)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB112) | (~v154(constB112)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28760,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB112) | (~v154(constB112)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28761,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB112) | (~v154(constB112))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28760, 28759])).
% 26.08/17.43 tff(28762,plain,
% 26.08/17.43 (~v154(constB112)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28761, 24544, 28758])).
% 26.08/17.43 tff(28763,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB112) | (~v153(constB112)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB112) | (~v153(constB112)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28764,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB112) | (~v153(constB112)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28765,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB112) | (~v153(constB112))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28764, 28763])).
% 26.08/17.43 tff(28766,plain,
% 26.08/17.43 (~v153(constB112)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28765, 24558, 28762])).
% 26.08/17.43 tff(28767,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB112) | v155(constB112) | (~v150(constB112)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB112) | v155(constB112) | (~v150(constB112)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28768,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB112) | v155(constB112) | (~v150(constB112)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28769,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB112) | v155(constB112) | (~v150(constB112))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 26.08/17.43 tff(28770,plain,
% 26.08/17.43 (v155(constB112) | (~v150(constB112))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28769, 24496, 28766])).
% 26.08/17.43 tff(28771,plain,
% 26.08/17.43 (~v150(constB112)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28770, 28754])).
% 26.08/17.43 tff(28772,plain,
% 26.08/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28773,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28774,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB112, constB113)) | v150(constB112) | (~v152(constB113))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28773, 28772])).
% 26.08/17.43 tff(28775,plain,
% 26.08/17.43 (v150(constB112) | (~v152(constB113))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28774, 24511, 12935])).
% 26.08/17.43 tff(28776,plain,
% 26.08/17.43 (~v152(constB113)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28775, 28771])).
% 26.08/17.43 tff(28777,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB113) | (~v164(constB113)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB113) | (~v164(constB113)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28778,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB113) | (~v164(constB113)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28779,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB113) | (~v164(constB113))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28778, 28777])).
% 26.08/17.43 tff(28780,plain,
% 26.08/17.43 (~v164(constB113)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28779, 24674, 28776])).
% 26.08/17.43 tff(28781,assumption,(v18(constB114)), introduced(assumption)).
% 26.08/17.43 tff(28782,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB114))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28783,plain,
% 26.08/17.43 ($false),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28782, 3012, 28781])).
% 26.08/17.43 tff(28784,plain,(~v18(constB114)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.43 tff(28785,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28786,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB114) | (~v1(constB114)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28787,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB114) | (~v1(constB114))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28786, 28785])).
% 26.08/17.43 tff(28788,plain,
% 26.08/17.43 (v22(constB114)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28787, 3028, 13093])).
% 26.08/17.43 tff(28789,plain,
% 26.08/17.43 (((~![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)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28790,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB114) | (~v22(constB114)) | (~v19(constB114)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28791,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB114) | (~v22(constB114)) | (~v19(constB114))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28790, 28789])).
% 26.08/17.43 tff(28792,plain,
% 26.08/17.43 (v18(constB114) | (~v19(constB114))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28791, 3042, 28788])).
% 26.08/17.43 tff(28793,plain,
% 26.08/17.43 (~v19(constB114)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28792, 28784])).
% 26.08/17.43 tff(28794,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28795,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB114) | v19(constB114))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28796,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB114) | v19(constB114)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28795, 28794])).
% 26.08/17.43 tff(28797,plain,
% 26.08/17.43 (v13(constB114)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28796, 3054, 28793])).
% 26.08/17.43 tff(28798,plain,
% 26.08/17.43 (((~![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)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28799,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28800,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB113) | (~v13(constB114)) | (~nextState(constB113, constB114))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28799, 28798])).
% 26.08/17.43 tff(28801,plain,
% 26.08/17.43 (v9(constB113) | (~v13(constB114))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28800, 3068, 13073])).
% 26.08/17.43 tff(28802,plain,
% 26.08/17.43 (v9(constB113)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28801, 28797])).
% 26.08/17.43 tff(28803,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v141(constB113))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB113) | (~v9(constB113)) | v141(constB113))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28804,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB113) | (~v9(constB113)) | v141(constB113))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28805,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB113) | (~v9(constB113)) | v141(constB113)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28804, 28803])).
% 26.08/17.43 tff(28806,plain,
% 26.08/17.43 ((~v9(constB113)) | v141(constB113)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28805, 3083, 12932])).
% 26.08/17.43 tff(28807,plain,
% 26.08/17.43 (v141(constB113)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28806, 28802])).
% 26.08/17.43 tff(28808,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB113)) | v140(constB113))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB113)) | v140(constB113))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28809,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB113)) | v140(constB113))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28810,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB113)) | v140(constB113)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28809, 28808])).
% 26.08/17.43 tff(28811,plain,
% 26.08/17.43 (v140(constB113)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28810, 24165, 28807])).
% 26.08/17.43 tff(28812,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB113)) | (~v163(constB113)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB113)) | (~v163(constB113)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28813,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB113)) | (~v163(constB113)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28814,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB113)) | (~v163(constB113))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28813, 28812])).
% 26.08/17.43 tff(28815,plain,
% 26.08/17.43 (~v163(constB113)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28814, 24179, 28811])).
% 26.08/17.43 tff(28816,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB113) | v164(constB113) | (~v160(constB113)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB113) | v164(constB113) | (~v160(constB113)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28817,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB113) | v164(constB113) | (~v160(constB113)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28818,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB113) | v164(constB113) | (~v160(constB113))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28817, 28816])).
% 26.08/17.43 tff(28819,plain,
% 26.08/17.43 (v164(constB113) | (~v160(constB113))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28818, 24688, 28815])).
% 26.08/17.43 tff(28820,plain,
% 26.08/17.43 (~v160(constB113)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28819, 28780])).
% 26.08/17.43 tff(28821,plain,
% 26.08/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28822,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28823,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB113, constB114)) | v160(constB113) | (~v162(constB114))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28822, 28821])).
% 26.08/17.43 tff(28824,plain,
% 26.08/17.43 (v160(constB113) | (~v162(constB114))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28823, 24703, 13073])).
% 26.08/17.43 tff(28825,plain,
% 26.08/17.43 (~v162(constB114)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28824, 28820])).
% 26.08/17.43 tff(28826,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB114) | (~v163(constB114)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB114) | (~v163(constB114)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28827,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB114) | (~v163(constB114)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28828,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB114) | (~v163(constB114))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28827, 28826])).
% 26.08/17.43 tff(28829,plain,
% 26.08/17.43 (~v163(constB114)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28828, 24718, 28825])).
% 26.08/17.43 tff(28830,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB114)) | (~v141(constB114)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB114)) | (~v141(constB114)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28831,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB114)) | (~v141(constB114)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28832,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB114)) | (~v141(constB114))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28831, 28830])).
% 26.08/17.43 tff(28833,plain,
% 26.08/17.43 (~v141(constB114)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28832, 24291, 13093])).
% 26.08/17.43 tff(28834,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB114) | (~v154(constB114)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB114) | (~v154(constB114)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28835,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB114) | (~v154(constB114)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28836,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB114) | (~v154(constB114))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28835, 28834])).
% 26.08/17.43 tff(28837,plain,
% 26.08/17.43 (~v154(constB114)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28836, 24544, 28833])).
% 26.08/17.43 tff(28838,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB114) | (~v164(constB114)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB114) | (~v164(constB114)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28839,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB114) | (~v164(constB114)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28840,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB114) | (~v164(constB114))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28839, 28838])).
% 26.08/17.43 tff(28841,plain,
% 26.08/17.43 (~v164(constB114)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28840, 24740, 28837])).
% 26.08/17.43 tff(28842,plain,
% 26.08/17.43 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB114) | v164(constB114) | (~v160(constB114)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB114) | v164(constB114) | (~v160(constB114)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28843,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB114) | v164(constB114) | (~v160(constB114)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28844,plain,
% 26.08/17.43 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB114) | v164(constB114) | (~v160(constB114))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28843, 28842])).
% 26.08/17.43 tff(28845,plain,
% 26.08/17.43 (v163(constB114) | (~v160(constB114))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28844, 24688, 28841])).
% 26.08/17.43 tff(28846,plain,
% 26.08/17.43 (~v160(constB114)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28845, 28829])).
% 26.08/17.43 tff(28847,plain,
% 26.08/17.43 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))),
% 26.08/17.43 inference(rewrite,[status(thm)],[])).
% 26.08/17.43 tff(28848,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115)))),
% 26.08/17.43 inference(quant_inst,[status(thm)],[])).
% 26.08/17.43 tff(28849,plain,
% 26.08/17.43 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB114, constB115)) | v160(constB114) | (~v162(constB115))),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[28848, 28847])).
% 26.08/17.43 tff(28850,plain,
% 26.08/17.43 (v160(constB114) | (~v162(constB115))),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28849, 24703, 13135])).
% 26.08/17.43 tff(28851,plain,
% 26.08/17.43 (~v162(constB115)),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28850, 28846])).
% 26.08/17.43 tff(28852,plain,
% 26.08/17.43 ($false),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[28851, 28619])).
% 26.08/17.43 tff(28853,plain,(~(constB115 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.43 tff(28854,assumption,(constB104 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.43 tff(28855,plain,
% 26.08/17.43 (v1(constB104) <=> v1(sK0_VarCurr)),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28854])).
% 26.08/17.43 tff(28856,plain,
% 26.08/17.43 (v1(sK0_VarCurr) <=> v1(constB104)),
% 26.08/17.43 inference(symmetry,[status(thm)],[28855])).
% 26.08/17.43 tff(28857,plain,
% 26.08/17.43 ((~v1(sK0_VarCurr)) <=> (~v1(constB104))),
% 26.08/17.43 inference(monotonicity,[status(thm)],[28856])).
% 26.08/17.43 tff(28858,plain,
% 26.08/17.43 (~v1(constB104)),
% 26.08/17.43 inference(modus_ponens,[status(thm)],[25472, 28857])).
% 26.08/17.43 tff(28859,plain,
% 26.08/17.43 ($false),
% 26.08/17.43 inference(unit_resolution,[status(thm)],[12093, 28858])).
% 26.08/17.43 tff(28860,plain,(~(constB104 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.44 tff(28861,assumption,(constB179 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.44 tff(28862,plain,
% 26.08/17.44 (v162(constB179) <=> v162(sK0_VarCurr)),
% 26.08/17.44 inference(monotonicity,[status(thm)],[28861])).
% 26.08/17.44 tff(28863,plain,
% 26.08/17.44 (v162(sK0_VarCurr) <=> v162(constB179)),
% 26.08/17.44 inference(symmetry,[status(thm)],[28862])).
% 26.08/17.44 tff(28864,plain,
% 26.08/17.44 (v162(constB179)),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[24130, 28863])).
% 26.08/17.44 tff(28865,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB173)) | (~v84(constB173, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB173)) | (~v84(constB173, bitIndex1)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28866,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB173)) | (~v84(constB173, bitIndex1)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28867,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB173)) | (~v84(constB173, bitIndex1))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28866, 28865])).
% 26.08/17.44 tff(28868,plain,
% 26.08/17.44 (~v145(constB173)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28867, 2018, 20820])).
% 26.08/17.44 tff(28869,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB173) | (~v144(constB173)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB173) | (~v144(constB173)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28870,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB173) | (~v144(constB173)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28871,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB173) | (~v144(constB173))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28870, 28869])).
% 26.08/17.44 tff(28872,plain,
% 26.08/17.44 (~v144(constB173)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28871, 2971, 28868])).
% 26.08/17.44 tff(28873,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB173) | (~v142(constB173)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB173) | (~v142(constB173)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28874,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB173) | (~v142(constB173)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28875,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB173) | (~v142(constB173))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28874, 28873])).
% 26.08/17.44 tff(28876,plain,
% 26.08/17.44 (~v142(constB173)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28875, 2985, 28872])).
% 26.08/17.44 tff(28877,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB173)) | (~v140(constB173)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB173)) | (~v140(constB173)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28878,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB173)) | (~v140(constB173)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28879,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB173)) | (~v140(constB173))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28878, 28877])).
% 26.08/17.44 tff(28880,plain,
% 26.08/17.44 (~v138(constB173)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28879, 24221, 24979])).
% 26.08/17.44 tff(28881,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB173) | v142(constB173) | (~v135(constB173)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB173) | v142(constB173) | (~v135(constB173)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28882,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB173) | v142(constB173) | (~v135(constB173)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28883,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB173) | v142(constB173) | (~v135(constB173))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28882, 28881])).
% 26.08/17.44 tff(28884,plain,
% 26.08/17.44 (v142(constB173) | (~v135(constB173))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28883, 24247, 28880])).
% 26.08/17.44 tff(28885,plain,
% 26.08/17.44 (~v135(constB173)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28884, 28876])).
% 26.08/17.44 tff(28886,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28887,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28888,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB173, constB174)) | v135(constB173) | (~v137(constB174))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28887, 28886])).
% 26.08/17.44 tff(28889,plain,
% 26.08/17.44 (v135(constB173) | (~v137(constB174))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28888, 24262, 20909])).
% 26.08/17.44 tff(28890,plain,
% 26.08/17.44 (~v137(constB174)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28889, 28885])).
% 26.08/17.44 tff(28891,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB174) | (~v138(constB174)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB174) | (~v138(constB174)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28892,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB174) | (~v138(constB174)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28893,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB174) | (~v138(constB174))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28892, 28891])).
% 26.08/17.44 tff(28894,plain,
% 26.08/17.44 (~v138(constB174)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28893, 24277, 28890])).
% 26.08/17.44 tff(28895,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB174) | (~v144(constB174)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB174) | (~v144(constB174)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28896,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB174) | (~v144(constB174)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28897,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB174) | (~v144(constB174))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28896, 28895])).
% 26.08/17.44 tff(28898,plain,
% 26.08/17.44 (~v144(constB174)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28897, 24305, 25001])).
% 26.08/17.44 tff(28899,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB174) | (~v142(constB174)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB174) | (~v142(constB174)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28900,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB174) | (~v142(constB174)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28901,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB174) | (~v142(constB174))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28900, 28899])).
% 26.08/17.44 tff(28902,plain,
% 26.08/17.44 (~v142(constB174)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28901, 2985, 28898])).
% 26.08/17.44 tff(28903,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB174) | v142(constB174) | (~v135(constB174)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB174) | v142(constB174) | (~v135(constB174)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28904,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB174) | v142(constB174) | (~v135(constB174)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28905,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB174) | v142(constB174) | (~v135(constB174))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28904, 28903])).
% 26.08/17.44 tff(28906,plain,
% 26.08/17.44 (v138(constB174) | (~v135(constB174))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28905, 24247, 28902])).
% 26.08/17.44 tff(28907,plain,
% 26.08/17.44 (~v135(constB174)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28906, 28894])).
% 26.08/17.44 tff(28908,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28909,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28910,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB174, constB175)) | v135(constB174) | (~v137(constB175))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28909, 28908])).
% 26.08/17.44 tff(28911,plain,
% 26.08/17.44 (v135(constB174) | (~v137(constB175))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28910, 24262, 20971])).
% 26.08/17.44 tff(28912,plain,
% 26.08/17.44 (~v137(constB175)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28911, 28907])).
% 26.08/17.44 tff(28913,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB175) | (~v153(constB175)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB175) | (~v153(constB175)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28914,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB175) | (~v153(constB175)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28915,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB175) | (~v153(constB175))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28914, 28913])).
% 26.08/17.44 tff(28916,plain,
% 26.08/17.44 (~v153(constB175)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28915, 24437, 28912])).
% 26.08/17.44 tff(28917,assumption,(v18(constB176)), introduced(assumption)).
% 26.08/17.44 tff(28918,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB176))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28919,plain,
% 26.08/17.44 ($false),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28918, 3012, 28917])).
% 26.08/17.44 tff(28920,plain,(~v18(constB176)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.44 tff(28921,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28922,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB176) | (~v1(constB176)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28923,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB176) | (~v1(constB176))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28922, 28921])).
% 26.08/17.44 tff(28924,plain,
% 26.08/17.44 (v22(constB176)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28923, 3028, 21686])).
% 26.08/17.44 tff(28925,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB176) | (~v22(constB176)) | (~v19(constB176)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB176) | (~v22(constB176)) | (~v19(constB176)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28926,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB176) | (~v22(constB176)) | (~v19(constB176)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28927,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB176) | (~v22(constB176)) | (~v19(constB176))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28926, 28925])).
% 26.08/17.44 tff(28928,plain,
% 26.08/17.44 (v18(constB176) | (~v19(constB176))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28927, 3042, 28924])).
% 26.08/17.44 tff(28929,plain,
% 26.08/17.44 (~v19(constB176)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28928, 28920])).
% 26.08/17.44 tff(28930,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28931,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB176) | v19(constB176))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28932,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB176) | v19(constB176)),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28931, 28930])).
% 26.08/17.44 tff(28933,plain,
% 26.08/17.44 (v13(constB176)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28932, 3054, 28929])).
% 26.08/17.44 tff(28934,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28935,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28936,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB175) | (~v13(constB176)) | (~nextState(constB175, constB176))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28935, 28934])).
% 26.08/17.44 tff(28937,plain,
% 26.08/17.44 (v9(constB175) | (~v13(constB176))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28936, 3068, 21074])).
% 26.08/17.44 tff(28938,plain,
% 26.08/17.44 (v9(constB175)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28937, 28933])).
% 26.08/17.44 tff(28939,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v141(constB175))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB175) | (~v9(constB175)) | v141(constB175))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28940,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB175) | (~v9(constB175)) | v141(constB175))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28941,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB175) | (~v9(constB175)) | v141(constB175)),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28940, 28939])).
% 26.08/17.44 tff(28942,plain,
% 26.08/17.44 ((~v9(constB175)) | v141(constB175)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28941, 3083, 20968])).
% 26.08/17.44 tff(28943,plain,
% 26.08/17.44 (v141(constB175)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28942, 28938])).
% 26.08/17.44 tff(28944,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB175) | (~v141(constB175)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB175) | (~v141(constB175)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28945,plain,
% 26.08/17.44 (((~v141(constB175)) | v140(constB175)) <=> (v140(constB175) | (~v141(constB175)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28946,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB175)) | v140(constB175))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB175) | (~v141(constB175))))),
% 26.08/17.44 inference(monotonicity,[status(thm)],[28945])).
% 26.08/17.44 tff(28947,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB175)) | v140(constB175))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB175) | (~v141(constB175)))),
% 26.08/17.44 inference(transitivity,[status(thm)],[28946, 28944])).
% 26.08/17.44 tff(28948,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB175)) | v140(constB175))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28949,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB175) | (~v141(constB175))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28948, 28947])).
% 26.08/17.44 tff(28950,plain,
% 26.08/17.44 (v140(constB175)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28949, 24165, 28943])).
% 26.08/17.44 tff(28951,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB175)) | (~v155(constB175)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB175)) | (~v155(constB175)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28952,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB175)) | (~v155(constB175)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28953,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB175)) | (~v155(constB175))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28952, 28951])).
% 26.08/17.44 tff(28954,plain,
% 26.08/17.44 (~v155(constB175)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28953, 24482, 28950])).
% 26.08/17.44 tff(28955,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB175) | v155(constB175) | (~v150(constB175)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB175) | v155(constB175) | (~v150(constB175)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28956,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB175) | v155(constB175) | (~v150(constB175)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28957,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB175) | v155(constB175) | (~v150(constB175))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28956, 28955])).
% 26.08/17.44 tff(28958,plain,
% 26.08/17.44 (v153(constB175) | (~v150(constB175))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28957, 24496, 28954])).
% 26.08/17.44 tff(28959,plain,
% 26.08/17.44 (~v150(constB175)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28958, 28916])).
% 26.08/17.44 tff(28960,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28961,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28962,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB175, constB176)) | v150(constB175) | (~v152(constB176))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28961, 28960])).
% 26.08/17.44 tff(28963,plain,
% 26.08/17.44 (v150(constB175) | (~v152(constB176))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28962, 24511, 21074])).
% 26.08/17.44 tff(28964,plain,
% 26.08/17.44 (~v152(constB176)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28963, 28959])).
% 26.08/17.44 tff(28965,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB176) | (~v155(constB176)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB176) | (~v155(constB176)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28966,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB176) | (~v155(constB176)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28967,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB176) | (~v155(constB176))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28966, 28965])).
% 26.08/17.44 tff(28968,plain,
% 26.08/17.44 (~v155(constB176)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28967, 24526, 28964])).
% 26.08/17.44 tff(28969,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB176)) | (~v141(constB176)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB176)) | (~v141(constB176)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28970,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB176)) | (~v141(constB176)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28971,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB176)) | (~v141(constB176))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28970, 28969])).
% 26.08/17.44 tff(28972,plain,
% 26.08/17.44 (~v141(constB176)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28971, 24291, 21686])).
% 26.08/17.44 tff(28973,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB176) | (~v154(constB176)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB176) | (~v154(constB176)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28974,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB176) | (~v154(constB176)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28975,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB176) | (~v154(constB176))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28974, 28973])).
% 26.08/17.44 tff(28976,plain,
% 26.08/17.44 (~v154(constB176)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28975, 24544, 28972])).
% 26.08/17.44 tff(28977,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB176) | (~v153(constB176)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB176) | (~v153(constB176)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28978,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB176) | (~v153(constB176)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28979,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB176) | (~v153(constB176))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28978, 28977])).
% 26.08/17.44 tff(28980,plain,
% 26.08/17.44 (~v153(constB176)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28979, 24558, 28976])).
% 26.08/17.44 tff(28981,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB176) | v155(constB176) | (~v150(constB176)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB176) | v155(constB176) | (~v150(constB176)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28982,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB176) | v155(constB176) | (~v150(constB176)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28983,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB176) | v155(constB176) | (~v150(constB176))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28982, 28981])).
% 26.08/17.44 tff(28984,plain,
% 26.08/17.44 (v155(constB176) | (~v150(constB176))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28983, 24496, 28980])).
% 26.08/17.44 tff(28985,plain,
% 26.08/17.44 (~v150(constB176)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28984, 28968])).
% 26.08/17.44 tff(28986,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28987,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28988,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB176, constB177)) | v150(constB176) | (~v152(constB177))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28987, 28986])).
% 26.08/17.44 tff(28989,plain,
% 26.08/17.44 (v150(constB176) | (~v152(constB177))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28988, 24511, 21713])).
% 26.08/17.44 tff(28990,plain,
% 26.08/17.44 (~v152(constB177)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28989, 28985])).
% 26.08/17.44 tff(28991,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB177) | (~v164(constB177)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB177) | (~v164(constB177)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28992,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB177) | (~v164(constB177)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28993,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB177) | (~v164(constB177))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28992, 28991])).
% 26.08/17.44 tff(28994,plain,
% 26.08/17.44 (~v164(constB177)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28993, 24674, 28990])).
% 26.08/17.44 tff(28995,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB177)) | (~v163(constB177)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB177)) | (~v163(constB177)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(28996,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB177)) | (~v163(constB177)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(28997,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB177)) | (~v163(constB177))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[28996, 28995])).
% 26.08/17.44 tff(28998,plain,
% 26.08/17.44 (~v163(constB177)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[28997, 24179, 26846])).
% 26.08/17.44 tff(28999,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB177) | v164(constB177) | (~v160(constB177)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB177) | v164(constB177) | (~v160(constB177)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29000,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB177) | v164(constB177) | (~v160(constB177)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29001,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB177) | v164(constB177) | (~v160(constB177))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29000, 28999])).
% 26.08/17.44 tff(29002,plain,
% 26.08/17.44 (v164(constB177) | (~v160(constB177))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29001, 24688, 28998])).
% 26.08/17.44 tff(29003,plain,
% 26.08/17.44 (~v160(constB177)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29002, 28994])).
% 26.08/17.44 tff(29004,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29005,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29006,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB177, constB178)) | v160(constB177) | (~v162(constB178))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29005, 29004])).
% 26.08/17.44 tff(29007,plain,
% 26.08/17.44 (v160(constB177) | (~v162(constB178))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29006, 24703, 21844])).
% 26.08/17.44 tff(29008,plain,
% 26.08/17.44 (~v162(constB178)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29007, 29003])).
% 26.08/17.44 tff(29009,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB178) | (~v163(constB178)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB178) | (~v163(constB178)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29010,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB178) | (~v163(constB178)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29011,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB178) | (~v163(constB178))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29010, 29009])).
% 26.08/17.44 tff(29012,plain,
% 26.08/17.44 (~v163(constB178)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29011, 24718, 29008])).
% 26.08/17.44 tff(29013,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB178) | (~v154(constB178)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB178) | (~v154(constB178)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29014,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB178) | (~v154(constB178)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29015,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB178) | (~v154(constB178))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29014, 29013])).
% 26.08/17.44 tff(29016,plain,
% 26.08/17.44 (~v154(constB178)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29015, 24544, 26868])).
% 26.08/17.44 tff(29017,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB178) | (~v164(constB178)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB178) | (~v164(constB178)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29018,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB178) | (~v164(constB178)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29019,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB178) | (~v164(constB178))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29018, 29017])).
% 26.08/17.44 tff(29020,plain,
% 26.08/17.44 (~v164(constB178)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29019, 24740, 29016])).
% 26.08/17.44 tff(29021,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB178) | v164(constB178) | (~v160(constB178)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB178) | v164(constB178) | (~v160(constB178)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29022,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB178) | v164(constB178) | (~v160(constB178)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29023,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB178) | v164(constB178) | (~v160(constB178))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29022, 29021])).
% 26.08/17.44 tff(29024,plain,
% 26.08/17.44 (v163(constB178) | (~v160(constB178))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29023, 24688, 29020])).
% 26.08/17.44 tff(29025,plain,
% 26.08/17.44 (~v160(constB178)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29024, 29012])).
% 26.08/17.44 tff(29026,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29027,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29028,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB178, constB179)) | v160(constB178) | (~v162(constB179))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29027, 29026])).
% 26.08/17.44 tff(29029,plain,
% 26.08/17.44 (v160(constB178) | (~v162(constB179))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29028, 24703, 21906])).
% 26.08/17.44 tff(29030,plain,
% 26.08/17.44 (~v162(constB179)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29029, 29025])).
% 26.08/17.44 tff(29031,plain,
% 26.08/17.44 ($false),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29030, 28864])).
% 26.08/17.44 tff(29032,plain,(~(constB179 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.44 tff(29033,assumption,(constB43 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.44 tff(29034,plain,
% 26.08/17.44 (v162(constB43) <=> v162(sK0_VarCurr)),
% 26.08/17.44 inference(monotonicity,[status(thm)],[29033])).
% 26.08/17.44 tff(29035,plain,
% 26.08/17.44 (v162(sK0_VarCurr) <=> v162(constB43)),
% 26.08/17.44 inference(symmetry,[status(thm)],[29034])).
% 26.08/17.44 tff(29036,plain,
% 26.08/17.44 (v162(constB43)),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[24130, 29035])).
% 26.08/17.44 tff(29037,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB37) | (~v144(constB37)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB37) | (~v144(constB37)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29038,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB37) | (~v144(constB37)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29039,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB37) | (~v144(constB37))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29038, 29037])).
% 26.08/17.44 tff(29040,plain,
% 26.08/17.44 (~v144(constB37)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29039, 2971, 4852])).
% 26.08/17.44 tff(29041,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB37) | (~v142(constB37)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB37) | (~v142(constB37)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29042,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB37) | (~v142(constB37)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29043,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB37) | (~v142(constB37))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29042, 29041])).
% 26.08/17.44 tff(29044,plain,
% 26.08/17.44 (~v142(constB37)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29043, 2985, 29040])).
% 26.08/17.44 tff(29045,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB37)) | (~v140(constB37)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB37)) | (~v140(constB37)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29046,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB37)) | (~v140(constB37)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29047,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB37)) | (~v140(constB37))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29046, 29045])).
% 26.08/17.44 tff(29048,plain,
% 26.08/17.44 (~v138(constB37)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29047, 24221, 27251])).
% 26.08/17.44 tff(29049,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB37) | v142(constB37) | (~v135(constB37)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB37) | v142(constB37) | (~v135(constB37)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29050,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB37) | v142(constB37) | (~v135(constB37)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29051,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB37) | v142(constB37) | (~v135(constB37))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29050, 29049])).
% 26.08/17.44 tff(29052,plain,
% 26.08/17.44 (v142(constB37) | (~v135(constB37))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29051, 24247, 29048])).
% 26.08/17.44 tff(29053,plain,
% 26.08/17.44 (~v135(constB37)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29052, 29044])).
% 26.08/17.44 tff(29054,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB37, constB38)) | v135(constB37) | (~v137(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB37, constB38)) | v135(constB37) | (~v137(constB38)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29055,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB37, constB38)) | v135(constB37) | (~v137(constB38)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29056,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB37, constB38)) | v135(constB37) | (~v137(constB38))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29055, 29054])).
% 26.08/17.44 tff(29057,plain,
% 26.08/17.44 (v135(constB37) | (~v137(constB38))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29056, 24262, 4919])).
% 26.08/17.44 tff(29058,plain,
% 26.08/17.44 (~v137(constB38)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29057, 29053])).
% 26.08/17.44 tff(29059,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB38) | (~v138(constB38)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB38) | (~v138(constB38)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29060,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB38) | (~v138(constB38)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29061,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB38) | (~v138(constB38))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29060, 29059])).
% 26.08/17.44 tff(29062,plain,
% 26.08/17.44 (~v138(constB38)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29061, 24277, 29058])).
% 26.08/17.44 tff(29063,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB38) | (~v144(constB38)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB38) | (~v144(constB38)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29064,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB38) | (~v144(constB38)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29065,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB38) | (~v144(constB38))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29064, 29063])).
% 26.08/17.44 tff(29066,plain,
% 26.08/17.44 (~v144(constB38)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29065, 24305, 27273])).
% 26.08/17.44 tff(29067,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB38) | (~v142(constB38)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB38) | (~v142(constB38)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29068,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB38) | (~v142(constB38)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29069,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB38) | (~v142(constB38))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29068, 29067])).
% 26.08/17.44 tff(29070,plain,
% 26.08/17.44 (~v142(constB38)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29069, 2985, 29066])).
% 26.08/17.44 tff(29071,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB38) | v142(constB38) | (~v135(constB38)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB38) | v142(constB38) | (~v135(constB38)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29072,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB38) | v142(constB38) | (~v135(constB38)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29073,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB38) | v142(constB38) | (~v135(constB38))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29072, 29071])).
% 26.08/17.44 tff(29074,plain,
% 26.08/17.44 (v138(constB38) | (~v135(constB38))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29073, 24247, 29070])).
% 26.08/17.44 tff(29075,plain,
% 26.08/17.44 (~v135(constB38)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29074, 29062])).
% 26.08/17.44 tff(29076,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB38, constB39)) | v135(constB38) | (~v137(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB38, constB39)) | v135(constB38) | (~v137(constB39)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29077,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB38, constB39)) | v135(constB38) | (~v137(constB39)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29078,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB38, constB39)) | v135(constB38) | (~v137(constB39))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29077, 29076])).
% 26.08/17.44 tff(29079,plain,
% 26.08/17.44 (v135(constB38) | (~v137(constB39))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29078, 24262, 5000])).
% 26.08/17.44 tff(29080,plain,
% 26.08/17.44 (~v137(constB39)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29079, 29075])).
% 26.08/17.44 tff(29081,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB39) | (~v153(constB39)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB39) | (~v153(constB39)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29082,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB39) | (~v153(constB39)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29083,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB39) | (~v153(constB39))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29082, 29081])).
% 26.08/17.44 tff(29084,plain,
% 26.08/17.44 (~v153(constB39)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29083, 24437, 29080])).
% 26.08/17.44 tff(29085,assumption,(v18(constB40)), introduced(assumption)).
% 26.08/17.44 tff(29086,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB40))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29087,plain,
% 26.08/17.44 ($false),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29086, 3012, 29085])).
% 26.08/17.44 tff(29088,plain,(~v18(constB40)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.44 tff(29089,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29090,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB40) | (~v1(constB40)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29091,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB40) | (~v1(constB40))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29090, 29089])).
% 26.08/17.44 tff(29092,plain,
% 26.08/17.44 (v22(constB40)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29091, 3028, 5155])).
% 26.08/17.44 tff(29093,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB40) | (~v22(constB40)) | (~v19(constB40)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB40) | (~v22(constB40)) | (~v19(constB40)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29094,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB40) | (~v22(constB40)) | (~v19(constB40)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29095,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB40) | (~v22(constB40)) | (~v19(constB40))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29094, 29093])).
% 26.08/17.44 tff(29096,plain,
% 26.08/17.44 (v18(constB40) | (~v19(constB40))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29095, 3042, 29092])).
% 26.08/17.44 tff(29097,plain,
% 26.08/17.44 (~v19(constB40)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29096, 29088])).
% 26.08/17.44 tff(29098,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29099,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB40) | v19(constB40))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29100,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB40) | v19(constB40)),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29099, 29098])).
% 26.08/17.44 tff(29101,plain,
% 26.08/17.44 (v13(constB40)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29100, 3054, 29097])).
% 26.08/17.44 tff(29102,plain,
% 26.08/17.44 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB39) | (~v13(constB40)) | (~nextState(constB39, constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB39) | (~v13(constB40)) | (~nextState(constB39, constB40)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29103,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB39) | (~v13(constB40)) | (~nextState(constB39, constB40)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29104,plain,
% 26.08/17.44 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB39) | (~v13(constB40)) | (~nextState(constB39, constB40))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29103, 29102])).
% 26.08/17.44 tff(29105,plain,
% 26.08/17.44 (v9(constB39) | (~v13(constB40))),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29104, 3068, 5135])).
% 26.08/17.44 tff(29106,plain,
% 26.08/17.44 (v9(constB39)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29105, 29101])).
% 26.08/17.44 tff(29107,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v141(constB39))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB39) | (~v9(constB39)) | v141(constB39))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29108,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB39) | (~v9(constB39)) | v141(constB39))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29109,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB39) | (~v9(constB39)) | v141(constB39)),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29108, 29107])).
% 26.08/17.44 tff(29110,plain,
% 26.08/17.44 ((~v9(constB39)) | v141(constB39)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29109, 3083, 4997])).
% 26.08/17.44 tff(29111,plain,
% 26.08/17.44 (v141(constB39)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29110, 29106])).
% 26.08/17.44 tff(29112,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB39) | (~v141(constB39)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB39) | (~v141(constB39)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29113,plain,
% 26.08/17.44 (((~v141(constB39)) | v140(constB39)) <=> (v140(constB39) | (~v141(constB39)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29114,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB39)) | v140(constB39))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB39) | (~v141(constB39))))),
% 26.08/17.44 inference(monotonicity,[status(thm)],[29113])).
% 26.08/17.44 tff(29115,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB39)) | v140(constB39))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB39) | (~v141(constB39)))),
% 26.08/17.44 inference(transitivity,[status(thm)],[29114, 29112])).
% 26.08/17.44 tff(29116,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB39)) | v140(constB39))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29117,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB39) | (~v141(constB39))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29116, 29115])).
% 26.08/17.44 tff(29118,plain,
% 26.08/17.44 (v140(constB39)),
% 26.08/17.44 inference(unit_resolution,[status(thm)],[29117, 24165, 29111])).
% 26.08/17.44 tff(29119,plain,
% 26.08/17.44 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB39)) | (~v155(constB39)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB39)) | (~v155(constB39)))),
% 26.08/17.44 inference(rewrite,[status(thm)],[])).
% 26.08/17.44 tff(29120,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB39)) | (~v155(constB39)))),
% 26.08/17.44 inference(quant_inst,[status(thm)],[])).
% 26.08/17.44 tff(29121,plain,
% 26.08/17.44 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB39)) | (~v155(constB39))),
% 26.08/17.44 inference(modus_ponens,[status(thm)],[29120, 29119])).
% 26.08/17.45 tff(29122,plain,
% 26.08/17.45 (~v155(constB39)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29121, 24482, 29118])).
% 26.08/17.45 tff(29123,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB39) | v155(constB39) | (~v150(constB39)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB39) | v155(constB39) | (~v150(constB39)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29124,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB39) | v155(constB39) | (~v150(constB39)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29125,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB39) | v155(constB39) | (~v150(constB39))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29124, 29123])).
% 26.08/17.45 tff(29126,plain,
% 26.08/17.45 (v153(constB39) | (~v150(constB39))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29125, 24496, 29122])).
% 26.08/17.45 tff(29127,plain,
% 26.08/17.45 (~v150(constB39)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29126, 29084])).
% 26.08/17.45 tff(29128,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB39, constB40)) | v150(constB39) | (~v152(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB39, constB40)) | v150(constB39) | (~v152(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29129,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB39, constB40)) | v150(constB39) | (~v152(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29130,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB39, constB40)) | v150(constB39) | (~v152(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29129, 29128])).
% 26.08/17.45 tff(29131,plain,
% 26.08/17.45 (v150(constB39) | (~v152(constB40))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29130, 24511, 5135])).
% 26.08/17.45 tff(29132,plain,
% 26.08/17.45 (~v152(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29131, 29127])).
% 26.08/17.45 tff(29133,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB40) | (~v155(constB40)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB40) | (~v155(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29134,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB40) | (~v155(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29135,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB40) | (~v155(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29134, 29133])).
% 26.08/17.45 tff(29136,plain,
% 26.08/17.45 (~v155(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29135, 24526, 29132])).
% 26.08/17.45 tff(29137,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB40)) | (~v141(constB40)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB40)) | (~v141(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29138,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB40)) | (~v141(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29139,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB40)) | (~v141(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29138, 29137])).
% 26.08/17.45 tff(29140,plain,
% 26.08/17.45 (~v141(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29139, 24291, 5155])).
% 26.08/17.45 tff(29141,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB40) | (~v154(constB40)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB40) | (~v154(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29142,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB40) | (~v154(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29143,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB40) | (~v154(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29142, 29141])).
% 26.08/17.45 tff(29144,plain,
% 26.08/17.45 (~v154(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29143, 24544, 29140])).
% 26.08/17.45 tff(29145,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB40) | (~v153(constB40)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB40) | (~v153(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29146,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB40) | (~v153(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29147,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB40) | (~v153(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29146, 29145])).
% 26.08/17.45 tff(29148,plain,
% 26.08/17.45 (~v153(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29147, 24558, 29144])).
% 26.08/17.45 tff(29149,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB40) | v155(constB40) | (~v150(constB40)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB40) | v155(constB40) | (~v150(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29150,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB40) | v155(constB40) | (~v150(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29151,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB40) | v155(constB40) | (~v150(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29150, 29149])).
% 26.08/17.45 tff(29152,plain,
% 26.08/17.45 (v155(constB40) | (~v150(constB40))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29151, 24496, 29148])).
% 26.08/17.45 tff(29153,plain,
% 26.08/17.45 (~v150(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29152, 29136])).
% 26.08/17.45 tff(29154,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB40, constB41)) | v150(constB40) | (~v152(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB40, constB41)) | v150(constB40) | (~v152(constB41)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29155,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB40, constB41)) | v150(constB40) | (~v152(constB41)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29156,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB40, constB41)) | v150(constB40) | (~v152(constB41))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29155, 29154])).
% 26.08/17.45 tff(29157,plain,
% 26.08/17.45 (v150(constB40) | (~v152(constB41))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29156, 24511, 5205])).
% 26.08/17.45 tff(29158,plain,
% 26.08/17.45 (~v152(constB41)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29157, 29153])).
% 26.08/17.45 tff(29159,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB41) | (~v164(constB41)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB41) | (~v164(constB41)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29160,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB41) | (~v164(constB41)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29161,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB41) | (~v164(constB41))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29160, 29159])).
% 26.08/17.45 tff(29162,plain,
% 26.08/17.45 (~v164(constB41)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29161, 24674, 29158])).
% 26.08/17.45 tff(29163,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB35)) | (~v84(constB35, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB35)) | (~v84(constB35, bitIndex2)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29164,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB35)) | (~v84(constB35, bitIndex2)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29165,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB35)) | (~v84(constB35, bitIndex2))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29164, 29163])).
% 26.08/17.45 tff(29166,plain,
% 26.08/17.45 (~v145(constB35)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29165, 16179, 4433])).
% 26.08/17.45 tff(29167,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB35) | (~v144(constB35)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB35) | (~v144(constB35)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29168,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB35) | (~v144(constB35)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29169,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB35) | (~v144(constB35))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29168, 29167])).
% 26.08/17.45 tff(29170,plain,
% 26.08/17.45 (~v144(constB35)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29169, 2971, 29166])).
% 26.08/17.45 tff(29171,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB35) | (~v142(constB35)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB35) | (~v142(constB35)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29172,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB35) | (~v142(constB35)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29173,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB35) | (~v142(constB35))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29172, 29171])).
% 26.08/17.45 tff(29174,plain,
% 26.08/17.45 (~v142(constB35)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29173, 2985, 29170])).
% 26.08/17.45 tff(29175,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB35)) | (~v140(constB35)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB35)) | (~v140(constB35)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29176,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB35)) | (~v140(constB35)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29177,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB35)) | (~v140(constB35))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29176, 29175])).
% 26.08/17.45 tff(29178,plain,
% 26.08/17.45 (~v138(constB35)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29177, 24221, 27176])).
% 26.08/17.45 tff(29179,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB35) | v142(constB35) | (~v135(constB35)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB35) | v142(constB35) | (~v135(constB35)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29180,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB35) | v142(constB35) | (~v135(constB35)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29181,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB35) | v142(constB35) | (~v135(constB35))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29180, 29179])).
% 26.08/17.45 tff(29182,plain,
% 26.08/17.45 (v142(constB35) | (~v135(constB35))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29181, 24247, 29178])).
% 26.08/17.45 tff(29183,plain,
% 26.08/17.45 (~v135(constB35)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29182, 29174])).
% 26.08/17.45 tff(29184,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29185,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29186,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB35, constB36)) | v135(constB35) | (~v137(constB36))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29185, 29184])).
% 26.08/17.45 tff(29187,plain,
% 26.08/17.45 (v135(constB35) | (~v137(constB36))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29186, 24262, 4514])).
% 26.08/17.45 tff(29188,plain,
% 26.08/17.45 (~v137(constB36)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29187, 29183])).
% 26.08/17.45 tff(29189,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB36) | (~v138(constB36)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB36) | (~v138(constB36)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29190,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB36) | (~v138(constB36)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29191,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB36) | (~v138(constB36))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29190, 29189])).
% 26.08/17.45 tff(29192,plain,
% 26.08/17.45 (~v138(constB36)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29191, 24277, 29188])).
% 26.08/17.45 tff(29193,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB36) | (~v144(constB36)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB36) | (~v144(constB36)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29194,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB36) | (~v144(constB36)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29195,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB36) | (~v144(constB36))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29194, 29193])).
% 26.08/17.45 tff(29196,plain,
% 26.08/17.45 (~v144(constB36)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29195, 24305, 27198])).
% 26.08/17.45 tff(29197,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB36) | (~v142(constB36)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB36) | (~v142(constB36)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29198,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB36) | (~v142(constB36)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29199,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB36) | (~v142(constB36))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29198, 29197])).
% 26.08/17.45 tff(29200,plain,
% 26.08/17.45 (~v142(constB36)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29199, 2985, 29196])).
% 26.08/17.45 tff(29201,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB36) | v142(constB36) | (~v135(constB36)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB36) | v142(constB36) | (~v135(constB36)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29202,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB36) | v142(constB36) | (~v135(constB36)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29203,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB36) | v142(constB36) | (~v135(constB36))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29202, 29201])).
% 26.08/17.45 tff(29204,plain,
% 26.08/17.45 (v138(constB36) | (~v135(constB36))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29203, 24247, 29200])).
% 26.08/17.45 tff(29205,plain,
% 26.08/17.45 (~v135(constB36)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29204, 29192])).
% 26.08/17.45 tff(29206,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29207,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29208,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB36, constB37)) | v135(constB36) | (~v137(constB37))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29207, 29206])).
% 26.08/17.45 tff(29209,plain,
% 26.08/17.45 (v135(constB36) | (~v137(constB37))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29208, 24262, 4688])).
% 26.08/17.45 tff(29210,plain,
% 26.08/17.45 (~v137(constB37)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29209, 29205])).
% 26.08/17.45 tff(29211,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB37) | (~v153(constB37)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB37) | (~v153(constB37)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29212,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB37) | (~v153(constB37)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29213,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB37) | (~v153(constB37))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29212, 29211])).
% 26.08/17.45 tff(29214,plain,
% 26.08/17.45 (~v153(constB37)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29213, 24437, 29210])).
% 26.08/17.45 tff(29215,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB37)) | (~v155(constB37)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB37)) | (~v155(constB37)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29216,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB37)) | (~v155(constB37)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29217,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB37)) | (~v155(constB37))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29216, 29215])).
% 26.08/17.45 tff(29218,plain,
% 26.08/17.45 (~v155(constB37)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29217, 24482, 27251])).
% 26.08/17.45 tff(29219,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB37) | v155(constB37) | (~v150(constB37)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB37) | v155(constB37) | (~v150(constB37)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29220,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB37) | v155(constB37) | (~v150(constB37)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29221,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB37) | v155(constB37) | (~v150(constB37))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29220, 29219])).
% 26.08/17.45 tff(29222,plain,
% 26.08/17.45 (v153(constB37) | (~v150(constB37))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29221, 24496, 29218])).
% 26.08/17.45 tff(29223,plain,
% 26.08/17.45 (~v150(constB37)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29222, 29214])).
% 26.08/17.45 tff(29224,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29225,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29226,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB37, constB38)) | v150(constB37) | (~v152(constB38))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29225, 29224])).
% 26.08/17.45 tff(29227,plain,
% 26.08/17.45 (v150(constB37) | (~v152(constB38))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29226, 24511, 4919])).
% 26.08/17.45 tff(29228,plain,
% 26.08/17.45 (~v152(constB38)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29227, 29223])).
% 26.08/17.45 tff(29229,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB38) | (~v155(constB38)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB38) | (~v155(constB38)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29230,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB38) | (~v155(constB38)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29231,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB38) | (~v155(constB38))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29230, 29229])).
% 26.08/17.45 tff(29232,plain,
% 26.08/17.45 (~v155(constB38)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29231, 24526, 29228])).
% 26.08/17.45 tff(29233,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB38) | (~v153(constB38)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB38) | (~v153(constB38)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29234,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB38) | (~v153(constB38)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29235,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB38) | (~v153(constB38))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29234, 29233])).
% 26.08/17.45 tff(29236,plain,
% 26.08/17.45 (~v153(constB38)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29235, 24558, 27277])).
% 26.08/17.45 tff(29237,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB38) | v155(constB38) | (~v150(constB38)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB38) | v155(constB38) | (~v150(constB38)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29238,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB38) | v155(constB38) | (~v150(constB38)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29239,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB38) | v155(constB38) | (~v150(constB38))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29238, 29237])).
% 26.08/17.45 tff(29240,plain,
% 26.08/17.45 (v155(constB38) | (~v150(constB38))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29239, 24496, 29236])).
% 26.08/17.45 tff(29241,plain,
% 26.08/17.45 (~v150(constB38)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29240, 29232])).
% 26.08/17.45 tff(29242,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29243,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29244,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB38, constB39)) | v150(constB38) | (~v152(constB39))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29243, 29242])).
% 26.08/17.45 tff(29245,plain,
% 26.08/17.45 (v150(constB38) | (~v152(constB39))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29244, 24511, 5000])).
% 26.08/17.45 tff(29246,plain,
% 26.08/17.45 (~v152(constB39)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29245, 29241])).
% 26.08/17.45 tff(29247,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB39) | (~v164(constB39)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB39) | (~v164(constB39)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29248,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB39) | (~v164(constB39)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29249,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB39) | (~v164(constB39))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29248, 29247])).
% 26.08/17.45 tff(29250,plain,
% 26.08/17.45 (~v164(constB39)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29249, 24674, 29246])).
% 26.08/17.45 tff(29251,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB39)) | (~v163(constB39)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB39)) | (~v163(constB39)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29252,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB39)) | (~v163(constB39)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29253,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB39)) | (~v163(constB39))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29252, 29251])).
% 26.08/17.45 tff(29254,plain,
% 26.08/17.45 (~v163(constB39)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29253, 24179, 29118])).
% 26.08/17.45 tff(29255,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB39) | v164(constB39) | (~v160(constB39)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB39) | v164(constB39) | (~v160(constB39)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29256,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB39) | v164(constB39) | (~v160(constB39)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29257,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB39) | v164(constB39) | (~v160(constB39))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29256, 29255])).
% 26.08/17.45 tff(29258,plain,
% 26.08/17.45 (v164(constB39) | (~v160(constB39))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29257, 24688, 29254])).
% 26.08/17.45 tff(29259,plain,
% 26.08/17.45 (~v160(constB39)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29258, 29250])).
% 26.08/17.45 tff(29260,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29261,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29262,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB39, constB40)) | v160(constB39) | (~v162(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29261, 29260])).
% 26.08/17.45 tff(29263,plain,
% 26.08/17.45 (v160(constB39) | (~v162(constB40))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29262, 24703, 5135])).
% 26.08/17.45 tff(29264,plain,
% 26.08/17.45 (~v162(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29263, 29259])).
% 26.08/17.45 tff(29265,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB40) | (~v163(constB40)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB40) | (~v163(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29266,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB40) | (~v163(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29267,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB40) | (~v163(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29266, 29265])).
% 26.08/17.45 tff(29268,plain,
% 26.08/17.45 (~v163(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29267, 24718, 29264])).
% 26.08/17.45 tff(29269,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB40) | (~v164(constB40)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB40) | (~v164(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29270,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB40) | (~v164(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29271,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB40) | (~v164(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29270, 29269])).
% 26.08/17.45 tff(29272,plain,
% 26.08/17.45 (~v164(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29271, 24740, 29144])).
% 26.08/17.45 tff(29273,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB40) | v164(constB40) | (~v160(constB40)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB40) | v164(constB40) | (~v160(constB40)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29274,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB40) | v164(constB40) | (~v160(constB40)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29275,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB40) | v164(constB40) | (~v160(constB40))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29274, 29273])).
% 26.08/17.45 tff(29276,plain,
% 26.08/17.45 (v163(constB40) | (~v160(constB40))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29275, 24688, 29272])).
% 26.08/17.45 tff(29277,plain,
% 26.08/17.45 (~v160(constB40)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29276, 29268])).
% 26.08/17.45 tff(29278,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29279,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29280,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB40, constB41)) | v160(constB40) | (~v162(constB41))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29279, 29278])).
% 26.08/17.45 tff(29281,plain,
% 26.08/17.45 (v160(constB40) | (~v162(constB41))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29280, 24703, 5205])).
% 26.08/17.45 tff(29282,plain,
% 26.08/17.45 (~v162(constB41)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29281, 29277])).
% 26.08/17.45 tff(29283,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB41) | (~v163(constB41)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB41) | (~v163(constB41)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29284,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB41) | (~v163(constB41)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29285,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB41) | (~v163(constB41))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29284, 29283])).
% 26.08/17.45 tff(29286,plain,
% 26.08/17.45 (~v163(constB41)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29285, 24718, 29282])).
% 26.08/17.45 tff(29287,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB41) | v164(constB41) | (~v160(constB41)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB41) | v164(constB41) | (~v160(constB41)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29288,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB41) | v164(constB41) | (~v160(constB41)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29289,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB41) | v164(constB41) | (~v160(constB41))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29288, 29287])).
% 26.08/17.45 tff(29290,plain,
% 26.08/17.45 (v164(constB41) | (~v160(constB41))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29289, 24688, 29286])).
% 26.08/17.45 tff(29291,plain,
% 26.08/17.45 (~v160(constB41)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29290, 29162])).
% 26.08/17.45 tff(29292,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB41, constB42)) | v160(constB41) | (~v162(constB42)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB41, constB42)) | v160(constB41) | (~v162(constB42)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29293,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB41, constB42)) | v160(constB41) | (~v162(constB42)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29294,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB41, constB42)) | v160(constB41) | (~v162(constB42))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 26.08/17.45 tff(29295,plain,
% 26.08/17.45 (v160(constB41) | (~v162(constB42))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29294, 24703, 5349])).
% 26.08/17.45 tff(29296,plain,
% 26.08/17.45 (~v162(constB42)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29295, 29291])).
% 26.08/17.45 tff(29297,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB42) | (~v163(constB42)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB42) | (~v163(constB42)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29298,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB42) | (~v163(constB42)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29299,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB42) | (~v163(constB42))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29298, 29297])).
% 26.08/17.45 tff(29300,plain,
% 26.08/17.45 (~v163(constB42)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29299, 24718, 29296])).
% 26.08/17.45 tff(29301,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB42)) | (~v141(constB42)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB42)) | (~v141(constB42)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29302,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB42)) | (~v141(constB42)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29303,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB42)) | (~v141(constB42))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29302, 29301])).
% 26.08/17.45 tff(29304,plain,
% 26.08/17.45 (~v141(constB42)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29303, 24291, 5369])).
% 26.08/17.45 tff(29305,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB42) | (~v154(constB42)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB42) | (~v154(constB42)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29306,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB42) | (~v154(constB42)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29307,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB42) | (~v154(constB42))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29306, 29305])).
% 26.08/17.45 tff(29308,plain,
% 26.08/17.45 (~v154(constB42)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29307, 24544, 29304])).
% 26.08/17.45 tff(29309,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB42) | (~v164(constB42)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB42) | (~v164(constB42)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29310,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB42) | (~v164(constB42)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29311,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB42) | (~v164(constB42))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29310, 29309])).
% 26.08/17.45 tff(29312,plain,
% 26.08/17.45 (~v164(constB42)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29311, 24740, 29308])).
% 26.08/17.45 tff(29313,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB42) | v164(constB42) | (~v160(constB42)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB42) | v164(constB42) | (~v160(constB42)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29314,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB42) | v164(constB42) | (~v160(constB42)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29315,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB42) | v164(constB42) | (~v160(constB42))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29314, 29313])).
% 26.08/17.45 tff(29316,plain,
% 26.08/17.45 (v163(constB42) | (~v160(constB42))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29315, 24688, 29312])).
% 26.08/17.45 tff(29317,plain,
% 26.08/17.45 (~v160(constB42)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29316, 29300])).
% 26.08/17.45 tff(29318,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB42, constB43)) | v160(constB42) | (~v162(constB43)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB42, constB43)) | v160(constB42) | (~v162(constB43)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29319,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB42, constB43)) | v160(constB42) | (~v162(constB43)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29320,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB42, constB43)) | v160(constB42) | (~v162(constB43))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29319, 29318])).
% 26.08/17.45 tff(29321,plain,
% 26.08/17.45 (v160(constB42) | (~v162(constB43))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29320, 24703, 5411])).
% 26.08/17.45 tff(29322,plain,
% 26.08/17.45 (~v162(constB43)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29321, 29317])).
% 26.08/17.45 tff(29323,plain,
% 26.08/17.45 ($false),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29322, 29036])).
% 26.08/17.45 tff(29324,plain,(~(constB43 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.45 tff(29325,assumption,(constB142 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.45 tff(29326,plain,
% 26.08/17.45 (v1(constB142) <=> v1(sK0_VarCurr)),
% 26.08/17.45 inference(monotonicity,[status(thm)],[29325])).
% 26.08/17.45 tff(29327,plain,
% 26.08/17.45 (v1(sK0_VarCurr) <=> v1(constB142)),
% 26.08/17.45 inference(symmetry,[status(thm)],[29326])).
% 26.08/17.45 tff(29328,plain,
% 26.08/17.45 ((~v1(sK0_VarCurr)) <=> (~v1(constB142))),
% 26.08/17.45 inference(monotonicity,[status(thm)],[29327])).
% 26.08/17.45 tff(29329,plain,
% 26.08/17.45 (~v1(constB142)),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[25472, 29328])).
% 26.08/17.45 tff(29330,plain,
% 26.08/17.45 ($false),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[16100, 29329])).
% 26.08/17.45 tff(29331,plain,(~(constB142 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.45 tff(29332,assumption,(constB121 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.45 tff(29333,plain,
% 26.08/17.45 (v162(constB121) <=> v162(sK0_VarCurr)),
% 26.08/17.45 inference(monotonicity,[status(thm)],[29332])).
% 26.08/17.45 tff(29334,plain,
% 26.08/17.45 (v162(sK0_VarCurr) <=> v162(constB121)),
% 26.08/17.45 inference(symmetry,[status(thm)],[29333])).
% 26.08/17.45 tff(29335,plain,
% 26.08/17.45 (v162(constB121)),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[24130, 29334])).
% 26.08/17.45 tff(29336,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB115)) | (~v84(constB115, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB115)) | (~v84(constB115, bitIndex1)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29337,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB115)) | (~v84(constB115, bitIndex1)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29338,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB115)) | (~v84(constB115, bitIndex1))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29337, 29336])).
% 26.08/17.45 tff(29339,plain,
% 26.08/17.45 (~v145(constB115)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29338, 2018, 13187])).
% 26.08/17.45 tff(29340,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB115) | (~v144(constB115)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB115) | (~v144(constB115)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29341,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB115) | (~v144(constB115)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29342,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB115) | (~v144(constB115))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29341, 29340])).
% 26.08/17.45 tff(29343,plain,
% 26.08/17.45 (~v144(constB115)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29342, 2971, 29339])).
% 26.08/17.45 tff(29344,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB115) | (~v142(constB115)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB115) | (~v142(constB115)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29345,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB115) | (~v142(constB115)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29346,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB115) | (~v142(constB115))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29345, 29344])).
% 26.08/17.45 tff(29347,plain,
% 26.08/17.45 (~v142(constB115)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29346, 2985, 29343])).
% 26.08/17.45 tff(29348,assumption,(v18(constB116)), introduced(assumption)).
% 26.08/17.45 tff(29349,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB116))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29350,plain,
% 26.08/17.45 ($false),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29349, 3012, 29348])).
% 26.08/17.45 tff(29351,plain,(~v18(constB116)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.45 tff(29352,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29353,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB116) | (~v1(constB116)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29354,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB116) | (~v1(constB116))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29353, 29352])).
% 26.08/17.45 tff(29355,plain,
% 26.08/17.45 (v22(constB116)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29354, 3028, 13289])).
% 26.08/17.45 tff(29356,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB116) | (~v22(constB116)) | (~v19(constB116)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB116) | (~v22(constB116)) | (~v19(constB116)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29357,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB116) | (~v22(constB116)) | (~v19(constB116)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29358,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB116) | (~v22(constB116)) | (~v19(constB116))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29357, 29356])).
% 26.08/17.45 tff(29359,plain,
% 26.08/17.45 (v18(constB116) | (~v19(constB116))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29358, 3042, 29355])).
% 26.08/17.45 tff(29360,plain,
% 26.08/17.45 (~v19(constB116)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29359, 29351])).
% 26.08/17.45 tff(29361,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29362,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB116) | v19(constB116))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29363,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB116) | v19(constB116)),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29362, 29361])).
% 26.08/17.45 tff(29364,plain,
% 26.08/17.45 (v13(constB116)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29363, 3054, 29360])).
% 26.08/17.45 tff(29365,plain,
% 26.08/17.45 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116)))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29366,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116)))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29367,plain,
% 26.08/17.45 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB115) | (~v13(constB116)) | (~nextState(constB115, constB116))),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29366, 29365])).
% 26.08/17.45 tff(29368,plain,
% 26.08/17.45 (v9(constB115) | (~v13(constB116))),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29367, 3068, 13269])).
% 26.08/17.45 tff(29369,plain,
% 26.08/17.45 (v9(constB115)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29368, 29364])).
% 26.08/17.45 tff(29370,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v141(constB115))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB115) | (~v9(constB115)) | v141(constB115))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29371,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB115) | (~v9(constB115)) | v141(constB115))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29372,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB115) | (~v9(constB115)) | v141(constB115)),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29371, 29370])).
% 26.08/17.45 tff(29373,plain,
% 26.08/17.45 ((~v9(constB115)) | v141(constB115)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29372, 3083, 13132])).
% 26.08/17.45 tff(29374,plain,
% 26.08/17.45 (v141(constB115)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29373, 29369])).
% 26.08/17.45 tff(29375,plain,
% 26.08/17.45 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB115)) | v140(constB115))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB115)) | v140(constB115))),
% 26.08/17.45 inference(rewrite,[status(thm)],[])).
% 26.08/17.45 tff(29376,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB115)) | v140(constB115))),
% 26.08/17.45 inference(quant_inst,[status(thm)],[])).
% 26.08/17.45 tff(29377,plain,
% 26.08/17.45 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB115)) | v140(constB115)),
% 26.08/17.45 inference(modus_ponens,[status(thm)],[29376, 29375])).
% 26.08/17.45 tff(29378,plain,
% 26.08/17.45 (v140(constB115)),
% 26.08/17.45 inference(unit_resolution,[status(thm)],[29377, 24165, 29374])).
% 26.08/17.46 tff(29379,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB115)) | (~v140(constB115)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB115)) | (~v140(constB115)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29380,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB115)) | (~v140(constB115)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29381,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB115)) | (~v140(constB115))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29380, 29379])).
% 26.08/17.46 tff(29382,plain,
% 26.08/17.46 (~v138(constB115)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29381, 24221, 29378])).
% 26.08/17.46 tff(29383,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB115) | v142(constB115) | (~v135(constB115)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB115) | v142(constB115) | (~v135(constB115)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29384,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB115) | v142(constB115) | (~v135(constB115)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29385,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB115) | v142(constB115) | (~v135(constB115))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29384, 29383])).
% 26.08/17.46 tff(29386,plain,
% 26.08/17.46 (v142(constB115) | (~v135(constB115))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29385, 24247, 29382])).
% 26.08/17.46 tff(29387,plain,
% 26.08/17.46 (~v135(constB115)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29386, 29347])).
% 26.08/17.46 tff(29388,plain,
% 26.08/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29389,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29390,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB115, constB116)) | v135(constB115) | (~v137(constB116))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29389, 29388])).
% 26.08/17.46 tff(29391,plain,
% 26.08/17.46 (v135(constB115) | (~v137(constB116))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29390, 24262, 13269])).
% 26.08/17.46 tff(29392,plain,
% 26.08/17.46 (~v137(constB116)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29391, 29387])).
% 26.08/17.46 tff(29393,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB116) | (~v138(constB116)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB116) | (~v138(constB116)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29394,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB116) | (~v138(constB116)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29395,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB116) | (~v138(constB116))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29394, 29393])).
% 26.08/17.46 tff(29396,plain,
% 26.08/17.46 (~v138(constB116)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29395, 24277, 29392])).
% 26.08/17.46 tff(29397,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB116)) | (~v141(constB116)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB116)) | (~v141(constB116)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29398,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB116)) | (~v141(constB116)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29399,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB116)) | (~v141(constB116))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29398, 29397])).
% 26.08/17.46 tff(29400,plain,
% 26.08/17.46 (~v141(constB116)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29399, 24291, 13289])).
% 26.08/17.46 tff(29401,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB116) | (~v144(constB116)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB116) | (~v144(constB116)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29402,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB116) | (~v144(constB116)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29403,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB116) | (~v144(constB116))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29402, 29401])).
% 26.08/17.46 tff(29404,plain,
% 26.08/17.46 (~v144(constB116)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29403, 24305, 29400])).
% 26.08/17.46 tff(29405,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB116) | (~v142(constB116)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB116) | (~v142(constB116)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29406,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB116) | (~v142(constB116)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29407,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB116) | (~v142(constB116))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29406, 29405])).
% 26.08/17.46 tff(29408,plain,
% 26.08/17.46 (~v142(constB116)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29407, 2985, 29404])).
% 26.08/17.46 tff(29409,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB116) | v142(constB116) | (~v135(constB116)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB116) | v142(constB116) | (~v135(constB116)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29410,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB116) | v142(constB116) | (~v135(constB116)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29411,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB116) | v142(constB116) | (~v135(constB116))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29410, 29409])).
% 26.08/17.46 tff(29412,plain,
% 26.08/17.46 (v138(constB116) | (~v135(constB116))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29411, 24247, 29408])).
% 26.08/17.46 tff(29413,plain,
% 26.08/17.46 (~v135(constB116)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29412, 29396])).
% 26.08/17.46 tff(29414,plain,
% 26.08/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29415,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29416,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB116, constB117)) | v135(constB116) | (~v137(constB117))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29415, 29414])).
% 26.08/17.46 tff(29417,plain,
% 26.08/17.46 (v135(constB116) | (~v137(constB117))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29416, 24262, 13331])).
% 26.08/17.46 tff(29418,plain,
% 26.08/17.46 (~v137(constB117)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29417, 29413])).
% 26.08/17.46 tff(29419,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB117) | (~v153(constB117)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB117) | (~v153(constB117)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29420,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB117) | (~v153(constB117)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29421,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB117) | (~v153(constB117))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29420, 29419])).
% 26.08/17.46 tff(29422,plain,
% 26.08/17.46 (~v153(constB117)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29421, 24437, 29418])).
% 26.08/17.46 tff(29423,assumption,(v18(constB118)), introduced(assumption)).
% 26.08/17.46 tff(29424,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB118))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29425,plain,
% 26.08/17.46 ($false),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29424, 3012, 29423])).
% 26.08/17.46 tff(29426,plain,(~v18(constB118)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.46 tff(29427,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29428,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB118) | (~v1(constB118)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29429,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB118) | (~v1(constB118))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29428, 29427])).
% 26.08/17.46 tff(29430,plain,
% 26.08/17.46 (v22(constB118)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29429, 3028, 13478])).
% 26.08/17.46 tff(29431,plain,
% 26.08/17.46 (((~![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)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29432,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB118) | (~v22(constB118)) | (~v19(constB118)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29433,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB118) | (~v22(constB118)) | (~v19(constB118))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29432, 29431])).
% 26.08/17.46 tff(29434,plain,
% 26.08/17.46 (v18(constB118) | (~v19(constB118))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29433, 3042, 29430])).
% 26.08/17.46 tff(29435,plain,
% 26.08/17.46 (~v19(constB118)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29434, 29426])).
% 26.08/17.46 tff(29436,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29437,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB118) | v19(constB118))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29438,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB118) | v19(constB118)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29437, 29436])).
% 26.08/17.46 tff(29439,plain,
% 26.08/17.46 (v13(constB118)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29438, 3054, 29435])).
% 26.08/17.46 tff(29440,plain,
% 26.08/17.46 (((~![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)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29441,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29442,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB117) | (~v13(constB118)) | (~nextState(constB117, constB118))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29441, 29440])).
% 26.08/17.46 tff(29443,plain,
% 26.08/17.46 (v9(constB117) | (~v13(constB118))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29442, 3068, 13458])).
% 26.08/17.46 tff(29444,plain,
% 26.08/17.46 (v9(constB117)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29443, 29439])).
% 26.08/17.46 tff(29445,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v141(constB117))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB117) | (~v9(constB117)) | v141(constB117))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29446,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB117) | (~v9(constB117)) | v141(constB117))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29447,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB117) | (~v9(constB117)) | v141(constB117)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29446, 29445])).
% 26.08/17.46 tff(29448,plain,
% 26.08/17.46 ((~v9(constB117)) | v141(constB117)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29447, 3083, 13328])).
% 26.08/17.46 tff(29449,plain,
% 26.08/17.46 (v141(constB117)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29448, 29444])).
% 26.08/17.46 tff(29450,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB117)) | v140(constB117))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB117)) | v140(constB117))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29451,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB117)) | v140(constB117))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29452,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB117)) | v140(constB117)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29451, 29450])).
% 26.08/17.46 tff(29453,plain,
% 26.08/17.46 (v140(constB117)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29452, 24165, 29449])).
% 26.08/17.46 tff(29454,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB117)) | (~v155(constB117)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB117)) | (~v155(constB117)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29455,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB117)) | (~v155(constB117)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29456,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB117)) | (~v155(constB117))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29455, 29454])).
% 26.08/17.46 tff(29457,plain,
% 26.08/17.46 (~v155(constB117)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29456, 24482, 29453])).
% 26.08/17.46 tff(29458,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB117) | v155(constB117) | (~v150(constB117)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB117) | v155(constB117) | (~v150(constB117)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29459,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB117) | v155(constB117) | (~v150(constB117)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29460,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB117) | v155(constB117) | (~v150(constB117))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29459, 29458])).
% 26.08/17.46 tff(29461,plain,
% 26.08/17.46 (v153(constB117) | (~v150(constB117))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29460, 24496, 29457])).
% 26.08/17.46 tff(29462,plain,
% 26.08/17.46 (~v150(constB117)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29461, 29422])).
% 26.08/17.46 tff(29463,plain,
% 26.08/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29464,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29465,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB117, constB118)) | v150(constB117) | (~v152(constB118))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29464, 29463])).
% 26.08/17.46 tff(29466,plain,
% 26.08/17.46 (v150(constB117) | (~v152(constB118))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29465, 24511, 13458])).
% 26.08/17.46 tff(29467,plain,
% 26.08/17.46 (~v152(constB118)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29466, 29462])).
% 26.08/17.46 tff(29468,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB118) | (~v155(constB118)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB118) | (~v155(constB118)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29469,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB118) | (~v155(constB118)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29470,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB118) | (~v155(constB118))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 26.08/17.46 tff(29471,plain,
% 26.08/17.46 (~v155(constB118)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29470, 24526, 29467])).
% 26.08/17.46 tff(29472,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB118)) | (~v141(constB118)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB118)) | (~v141(constB118)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29473,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB118)) | (~v141(constB118)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29474,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB118)) | (~v141(constB118))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29473, 29472])).
% 26.08/17.46 tff(29475,plain,
% 26.08/17.46 (~v141(constB118)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29474, 24291, 13478])).
% 26.08/17.46 tff(29476,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB118) | (~v154(constB118)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB118) | (~v154(constB118)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29477,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB118) | (~v154(constB118)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29478,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB118) | (~v154(constB118))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29477, 29476])).
% 26.08/17.46 tff(29479,plain,
% 26.08/17.46 (~v154(constB118)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29478, 24544, 29475])).
% 26.08/17.46 tff(29480,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB118) | (~v153(constB118)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB118) | (~v153(constB118)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29481,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB118) | (~v153(constB118)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29482,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB118) | (~v153(constB118))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29481, 29480])).
% 26.08/17.46 tff(29483,plain,
% 26.08/17.46 (~v153(constB118)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29482, 24558, 29479])).
% 26.08/17.46 tff(29484,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB118) | v155(constB118) | (~v150(constB118)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB118) | v155(constB118) | (~v150(constB118)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29485,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB118) | v155(constB118) | (~v150(constB118)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29486,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB118) | v155(constB118) | (~v150(constB118))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29485, 29484])).
% 26.08/17.46 tff(29487,plain,
% 26.08/17.46 (v155(constB118) | (~v150(constB118))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29486, 24496, 29483])).
% 26.08/17.46 tff(29488,plain,
% 26.08/17.46 (~v150(constB118)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29487, 29471])).
% 26.08/17.46 tff(29489,plain,
% 26.08/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29490,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29491,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB118, constB119)) | v150(constB118) | (~v152(constB119))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29490, 29489])).
% 26.08/17.46 tff(29492,plain,
% 26.08/17.46 (v150(constB118) | (~v152(constB119))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29491, 24511, 13520])).
% 26.08/17.46 tff(29493,plain,
% 26.08/17.46 (~v152(constB119)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29492, 29488])).
% 26.08/17.46 tff(29494,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB119) | (~v164(constB119)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB119) | (~v164(constB119)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29495,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB119) | (~v164(constB119)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29496,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB119) | (~v164(constB119))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29495, 29494])).
% 26.08/17.46 tff(29497,plain,
% 26.08/17.46 (~v164(constB119)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29496, 24674, 29493])).
% 26.08/17.46 tff(29498,assumption,(v18(constB120)), introduced(assumption)).
% 26.08/17.46 tff(29499,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB120))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29500,plain,
% 26.08/17.46 ($false),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29499, 3012, 29498])).
% 26.08/17.46 tff(29501,plain,(~v18(constB120)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.46 tff(29502,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29503,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB120) | (~v1(constB120)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29504,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB120) | (~v1(constB120))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29503, 29502])).
% 26.08/17.46 tff(29505,plain,
% 26.08/17.46 (v22(constB120)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29504, 3028, 13663])).
% 26.08/17.46 tff(29506,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB120) | (~v22(constB120)) | (~v19(constB120)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB120) | (~v22(constB120)) | (~v19(constB120)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29507,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB120) | (~v22(constB120)) | (~v19(constB120)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29508,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB120) | (~v22(constB120)) | (~v19(constB120))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29507, 29506])).
% 26.08/17.46 tff(29509,plain,
% 26.08/17.46 (v18(constB120) | (~v19(constB120))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29508, 3042, 29505])).
% 26.08/17.46 tff(29510,plain,
% 26.08/17.46 (~v19(constB120)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29509, 29501])).
% 26.08/17.46 tff(29511,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29512,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB120) | v19(constB120))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29513,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB120) | v19(constB120)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29512, 29511])).
% 26.08/17.46 tff(29514,plain,
% 26.08/17.46 (v13(constB120)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29513, 3054, 29510])).
% 26.08/17.46 tff(29515,plain,
% 26.08/17.46 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29516,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29517,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB119) | (~v13(constB120)) | (~nextState(constB119, constB120))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29516, 29515])).
% 26.08/17.46 tff(29518,plain,
% 26.08/17.46 (v9(constB119) | (~v13(constB120))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29517, 3068, 13643])).
% 26.08/17.46 tff(29519,plain,
% 26.08/17.46 (v9(constB119)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29518, 29514])).
% 26.08/17.46 tff(29520,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v141(constB119))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB119) | (~v9(constB119)) | v141(constB119))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29521,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB119) | (~v9(constB119)) | v141(constB119))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29522,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB119) | (~v9(constB119)) | v141(constB119)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29521, 29520])).
% 26.08/17.46 tff(29523,plain,
% 26.08/17.46 ((~v9(constB119)) | v141(constB119)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29522, 3083, 13517])).
% 26.08/17.46 tff(29524,plain,
% 26.08/17.46 (v141(constB119)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29523, 29519])).
% 26.08/17.46 tff(29525,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB119)) | v140(constB119))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB119)) | v140(constB119))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29526,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB119)) | v140(constB119))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29527,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB119)) | v140(constB119)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29526, 29525])).
% 26.08/17.46 tff(29528,plain,
% 26.08/17.46 (v140(constB119)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29527, 24165, 29524])).
% 26.08/17.46 tff(29529,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB119)) | (~v163(constB119)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB119)) | (~v163(constB119)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29530,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB119)) | (~v163(constB119)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29531,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB119)) | (~v163(constB119))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29530, 29529])).
% 26.08/17.46 tff(29532,plain,
% 26.08/17.46 (~v163(constB119)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29531, 24179, 29528])).
% 26.08/17.46 tff(29533,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB119) | v164(constB119) | (~v160(constB119)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB119) | v164(constB119) | (~v160(constB119)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29534,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB119) | v164(constB119) | (~v160(constB119)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29535,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB119) | v164(constB119) | (~v160(constB119))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29534, 29533])).
% 26.08/17.46 tff(29536,plain,
% 26.08/17.46 (v164(constB119) | (~v160(constB119))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29535, 24688, 29532])).
% 26.08/17.46 tff(29537,plain,
% 26.08/17.46 (~v160(constB119)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29536, 29497])).
% 26.08/17.46 tff(29538,plain,
% 26.08/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29539,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29540,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB119, constB120)) | v160(constB119) | (~v162(constB120))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 26.08/17.46 tff(29541,plain,
% 26.08/17.46 (v160(constB119) | (~v162(constB120))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29540, 24703, 13643])).
% 26.08/17.46 tff(29542,plain,
% 26.08/17.46 (~v162(constB120)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29541, 29537])).
% 26.08/17.46 tff(29543,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB120) | (~v163(constB120)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB120) | (~v163(constB120)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29544,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB120) | (~v163(constB120)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29545,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB120) | (~v163(constB120))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29544, 29543])).
% 26.08/17.46 tff(29546,plain,
% 26.08/17.46 (~v163(constB120)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29545, 24718, 29542])).
% 26.08/17.46 tff(29547,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB120)) | (~v141(constB120)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB120)) | (~v141(constB120)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29548,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB120)) | (~v141(constB120)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29549,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB120)) | (~v141(constB120))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29548, 29547])).
% 26.08/17.46 tff(29550,plain,
% 26.08/17.46 (~v141(constB120)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29549, 24291, 13663])).
% 26.08/17.46 tff(29551,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB120) | (~v154(constB120)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB120) | (~v154(constB120)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29552,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB120) | (~v154(constB120)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29553,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB120) | (~v154(constB120))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29552, 29551])).
% 26.08/17.46 tff(29554,plain,
% 26.08/17.46 (~v154(constB120)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29553, 24544, 29550])).
% 26.08/17.46 tff(29555,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB120) | (~v164(constB120)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB120) | (~v164(constB120)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29556,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB120) | (~v164(constB120)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29557,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB120) | (~v164(constB120))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29556, 29555])).
% 26.08/17.46 tff(29558,plain,
% 26.08/17.46 (~v164(constB120)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29557, 24740, 29554])).
% 26.08/17.46 tff(29559,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB120) | v164(constB120) | (~v160(constB120)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB120) | v164(constB120) | (~v160(constB120)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29560,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB120) | v164(constB120) | (~v160(constB120)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29561,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB120) | v164(constB120) | (~v160(constB120))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29560, 29559])).
% 26.08/17.46 tff(29562,plain,
% 26.08/17.46 (v163(constB120) | (~v160(constB120))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29561, 24688, 29558])).
% 26.08/17.46 tff(29563,plain,
% 26.08/17.46 (~v160(constB120)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29562, 29546])).
% 26.08/17.46 tff(29564,plain,
% 26.08/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29565,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29566,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB120, constB121)) | v160(constB120) | (~v162(constB121))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29565, 29564])).
% 26.08/17.46 tff(29567,plain,
% 26.08/17.46 (v160(constB120) | (~v162(constB121))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29566, 24703, 13705])).
% 26.08/17.46 tff(29568,plain,
% 26.08/17.46 (~v162(constB121)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29567, 29563])).
% 26.08/17.46 tff(29569,plain,
% 26.08/17.46 ($false),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29568, 29335])).
% 26.08/17.46 tff(29570,plain,(~(constB121 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.46 tff(29571,assumption,(constB172 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.46 tff(29572,plain,
% 26.08/17.46 (v1(constB172) <=> v1(sK0_VarCurr)),
% 26.08/17.46 inference(monotonicity,[status(thm)],[29571])).
% 26.08/17.46 tff(29573,plain,
% 26.08/17.46 (v1(sK0_VarCurr) <=> v1(constB172)),
% 26.08/17.46 inference(symmetry,[status(thm)],[29572])).
% 26.08/17.46 tff(29574,plain,
% 26.08/17.46 ((~v1(sK0_VarCurr)) <=> (~v1(constB172))),
% 26.08/17.46 inference(monotonicity,[status(thm)],[29573])).
% 26.08/17.46 tff(29575,plain,
% 26.08/17.46 (~v1(constB172)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[25472, 29574])).
% 26.08/17.46 tff(29576,plain,
% 26.08/17.46 ($false),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[20726, 29575])).
% 26.08/17.46 tff(29577,plain,(~(constB172 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.46 tff(29578,assumption,(constB61 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.46 tff(29579,plain,
% 26.08/17.46 (v162(constB61) <=> v162(sK0_VarCurr)),
% 26.08/17.46 inference(monotonicity,[status(thm)],[29578])).
% 26.08/17.46 tff(29580,plain,
% 26.08/17.46 (v162(sK0_VarCurr) <=> v162(constB61)),
% 26.08/17.46 inference(symmetry,[status(thm)],[29579])).
% 26.08/17.46 tff(29581,plain,
% 26.08/17.46 (v162(constB61)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[24130, 29580])).
% 26.08/17.46 tff(29582,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB55)) | (~v84(constB55, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB55)) | (~v84(constB55, bitIndex1)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29583,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB55)) | (~v84(constB55, bitIndex1)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29584,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB55)) | (~v84(constB55, bitIndex1))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29583, 29582])).
% 26.08/17.46 tff(29585,plain,
% 26.08/17.46 (~v145(constB55)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29584, 2018, 6807])).
% 26.08/17.46 tff(29586,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB55) | (~v144(constB55)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB55) | (~v144(constB55)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29587,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB55) | (~v144(constB55)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29588,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB55) | (~v144(constB55))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29587, 29586])).
% 26.08/17.46 tff(29589,plain,
% 26.08/17.46 (~v144(constB55)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29588, 2971, 29585])).
% 26.08/17.46 tff(29590,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB55) | (~v142(constB55)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB55) | (~v142(constB55)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29591,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB55) | (~v142(constB55)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29592,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB55) | (~v142(constB55))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29591, 29590])).
% 26.08/17.46 tff(29593,plain,
% 26.08/17.46 (~v142(constB55)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29592, 2985, 29589])).
% 26.08/17.46 tff(29594,assumption,(v18(constB56)), introduced(assumption)).
% 26.08/17.46 tff(29595,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB56))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29596,plain,
% 26.08/17.46 ($false),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29595, 3012, 29594])).
% 26.08/17.46 tff(29597,plain,(~v18(constB56)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.46 tff(29598,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29599,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB56) | (~v1(constB56)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29600,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB56) | (~v1(constB56))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29599, 29598])).
% 26.08/17.46 tff(29601,plain,
% 26.08/17.46 (v22(constB56)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29600, 3028, 6876])).
% 26.08/17.46 tff(29602,plain,
% 26.08/17.46 (((~![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)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29603,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB56) | (~v22(constB56)) | (~v19(constB56)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29604,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB56) | (~v22(constB56)) | (~v19(constB56))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29603, 29602])).
% 26.08/17.46 tff(29605,plain,
% 26.08/17.46 (v18(constB56) | (~v19(constB56))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29604, 3042, 29601])).
% 26.08/17.46 tff(29606,plain,
% 26.08/17.46 (~v19(constB56)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29605, 29597])).
% 26.08/17.46 tff(29607,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29608,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB56) | v19(constB56))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29609,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB56) | v19(constB56)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29608, 29607])).
% 26.08/17.46 tff(29610,plain,
% 26.08/17.46 (v13(constB56)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29609, 3054, 29606])).
% 26.08/17.46 tff(29611,plain,
% 26.08/17.46 (((~![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)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29612,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29613,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB55) | (~v13(constB56)) | (~nextState(constB55, constB56))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29612, 29611])).
% 26.08/17.46 tff(29614,plain,
% 26.08/17.46 (v9(constB55) | (~v13(constB56))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29613, 3068, 6856])).
% 26.08/17.46 tff(29615,plain,
% 26.08/17.46 (v9(constB55)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29614, 29610])).
% 26.08/17.46 tff(29616,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v141(constB55))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB55) | (~v9(constB55)) | v141(constB55))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29617,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB55) | (~v9(constB55)) | v141(constB55))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29618,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB55) | (~v9(constB55)) | v141(constB55)),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29617, 29616])).
% 26.08/17.46 tff(29619,plain,
% 26.08/17.46 ((~v9(constB55)) | v141(constB55)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29618, 3083, 6680])).
% 26.08/17.46 tff(29620,plain,
% 26.08/17.46 (v141(constB55)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29619, 29615])).
% 26.08/17.46 tff(29621,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB55) | (~v141(constB55)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB55) | (~v141(constB55)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29622,plain,
% 26.08/17.46 (((~v141(constB55)) | v140(constB55)) <=> (v140(constB55) | (~v141(constB55)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29623,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB55)) | v140(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB55) | (~v141(constB55))))),
% 26.08/17.46 inference(monotonicity,[status(thm)],[29622])).
% 26.08/17.46 tff(29624,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB55)) | v140(constB55))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB55) | (~v141(constB55)))),
% 26.08/17.46 inference(transitivity,[status(thm)],[29623, 29621])).
% 26.08/17.46 tff(29625,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB55)) | v140(constB55))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29626,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB55) | (~v141(constB55))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29625, 29624])).
% 26.08/17.46 tff(29627,plain,
% 26.08/17.46 (v140(constB55)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29626, 24165, 29620])).
% 26.08/17.46 tff(29628,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB55)) | (~v140(constB55)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB55)) | (~v140(constB55)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29629,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB55)) | (~v140(constB55)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29630,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB55)) | (~v140(constB55))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29629, 29628])).
% 26.08/17.46 tff(29631,plain,
% 26.08/17.46 (~v138(constB55)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29630, 24221, 29627])).
% 26.08/17.46 tff(29632,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB55) | v142(constB55) | (~v135(constB55)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB55) | v142(constB55) | (~v135(constB55)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29633,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB55) | v142(constB55) | (~v135(constB55)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29634,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB55) | v142(constB55) | (~v135(constB55))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29633, 29632])).
% 26.08/17.46 tff(29635,plain,
% 26.08/17.46 (v142(constB55) | (~v135(constB55))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29634, 24247, 29631])).
% 26.08/17.46 tff(29636,plain,
% 26.08/17.46 (~v135(constB55)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29635, 29593])).
% 26.08/17.46 tff(29637,plain,
% 26.08/17.46 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29638,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29639,plain,
% 26.08/17.46 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB55, constB56)) | v135(constB55) | (~v137(constB56))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29638, 29637])).
% 26.08/17.46 tff(29640,plain,
% 26.08/17.46 (v135(constB55) | (~v137(constB56))),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29639, 24262, 6856])).
% 26.08/17.46 tff(29641,plain,
% 26.08/17.46 (~v137(constB56)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29640, 29636])).
% 26.08/17.46 tff(29642,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB56) | (~v138(constB56)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB56) | (~v138(constB56)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29643,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB56) | (~v138(constB56)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29644,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB56) | (~v138(constB56))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29643, 29642])).
% 26.08/17.46 tff(29645,plain,
% 26.08/17.46 (~v138(constB56)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29644, 24277, 29641])).
% 26.08/17.46 tff(29646,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB56)) | (~v141(constB56)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB56)) | (~v141(constB56)))),
% 26.08/17.46 inference(rewrite,[status(thm)],[])).
% 26.08/17.46 tff(29647,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB56)) | (~v141(constB56)))),
% 26.08/17.46 inference(quant_inst,[status(thm)],[])).
% 26.08/17.46 tff(29648,plain,
% 26.08/17.46 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB56)) | (~v141(constB56))),
% 26.08/17.46 inference(modus_ponens,[status(thm)],[29647, 29646])).
% 26.08/17.46 tff(29649,plain,
% 26.08/17.46 (~v141(constB56)),
% 26.08/17.46 inference(unit_resolution,[status(thm)],[29648, 24291, 6876])).
% 26.08/17.46 tff(29650,plain,
% 26.08/17.46 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB56) | (~v144(constB56)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB56) | (~v144(constB56)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29651,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB56) | (~v144(constB56)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29652,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB56) | (~v144(constB56))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29651, 29650])).
% 26.08/17.47 tff(29653,plain,
% 26.08/17.47 (~v144(constB56)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29652, 24305, 29649])).
% 26.08/17.47 tff(29654,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB56) | (~v142(constB56)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB56) | (~v142(constB56)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29655,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB56) | (~v142(constB56)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29656,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB56) | (~v142(constB56))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29655, 29654])).
% 26.08/17.47 tff(29657,plain,
% 26.08/17.47 (~v142(constB56)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29656, 2985, 29653])).
% 26.08/17.47 tff(29658,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB56) | v142(constB56) | (~v135(constB56)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB56) | v142(constB56) | (~v135(constB56)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29659,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB56) | v142(constB56) | (~v135(constB56)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29660,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB56) | v142(constB56) | (~v135(constB56))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29659, 29658])).
% 26.08/17.47 tff(29661,plain,
% 26.08/17.47 (v138(constB56) | (~v135(constB56))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29660, 24247, 29657])).
% 26.08/17.47 tff(29662,plain,
% 26.08/17.47 (~v135(constB56)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29661, 29645])).
% 26.08/17.47 tff(29663,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29664,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29665,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB56, constB57)) | v135(constB56) | (~v137(constB57))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29664, 29663])).
% 26.08/17.47 tff(29666,plain,
% 26.08/17.47 (v135(constB56) | (~v137(constB57))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29665, 24262, 6918])).
% 26.08/17.47 tff(29667,plain,
% 26.08/17.47 (~v137(constB57)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29666, 29662])).
% 26.08/17.47 tff(29668,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB57) | (~v153(constB57)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB57) | (~v153(constB57)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29669,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB57) | (~v153(constB57)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29670,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB57) | (~v153(constB57))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29669, 29668])).
% 26.08/17.47 tff(29671,plain,
% 26.08/17.47 (~v153(constB57)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29670, 24437, 29667])).
% 26.08/17.47 tff(29672,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB57)) | (~v155(constB57)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB57)) | (~v155(constB57)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29673,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB57)) | (~v155(constB57)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29674,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB57)) | (~v155(constB57))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29673, 29672])).
% 26.08/17.47 tff(29675,plain,
% 26.08/17.47 (~v155(constB57)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29674, 24482, 27357])).
% 26.08/17.47 tff(29676,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB57) | v155(constB57) | (~v150(constB57)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB57) | v155(constB57) | (~v150(constB57)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29677,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB57) | v155(constB57) | (~v150(constB57)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29678,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB57) | v155(constB57) | (~v150(constB57))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29677, 29676])).
% 26.08/17.47 tff(29679,plain,
% 26.08/17.47 (v153(constB57) | (~v150(constB57))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29678, 24496, 29675])).
% 26.08/17.47 tff(29680,plain,
% 26.08/17.47 (~v150(constB57)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29679, 29671])).
% 26.08/17.47 tff(29681,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29682,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29683,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB57, constB58)) | v150(constB57) | (~v152(constB58))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29682, 29681])).
% 26.08/17.47 tff(29684,plain,
% 26.08/17.47 (v150(constB57) | (~v152(constB58))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29683, 24511, 7045])).
% 26.08/17.47 tff(29685,plain,
% 26.08/17.47 (~v152(constB58)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29684, 29680])).
% 26.08/17.47 tff(29686,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB58) | (~v155(constB58)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB58) | (~v155(constB58)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29687,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB58) | (~v155(constB58)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29688,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB58) | (~v155(constB58))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29687, 29686])).
% 26.08/17.47 tff(29689,plain,
% 26.08/17.47 (~v155(constB58)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29688, 24526, 29685])).
% 26.08/17.47 tff(29690,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB58) | (~v154(constB58)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB58) | (~v154(constB58)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29691,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB58) | (~v154(constB58)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29692,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB58) | (~v154(constB58))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29691, 29690])).
% 26.08/17.47 tff(29693,plain,
% 26.08/17.47 (~v154(constB58)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29692, 24544, 27379])).
% 26.08/17.47 tff(29694,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB58) | (~v153(constB58)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB58) | (~v153(constB58)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29695,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB58) | (~v153(constB58)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29696,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB58) | (~v153(constB58))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29695, 29694])).
% 26.08/17.47 tff(29697,plain,
% 26.08/17.47 (~v153(constB58)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29696, 24558, 29693])).
% 26.08/17.47 tff(29698,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB58) | v155(constB58) | (~v150(constB58)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB58) | v155(constB58) | (~v150(constB58)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29699,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB58) | v155(constB58) | (~v150(constB58)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29700,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB58) | v155(constB58) | (~v150(constB58))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29699, 29698])).
% 26.08/17.47 tff(29701,plain,
% 26.08/17.47 (v155(constB58) | (~v150(constB58))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29700, 24496, 29697])).
% 26.08/17.47 tff(29702,plain,
% 26.08/17.47 (~v150(constB58)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29701, 29689])).
% 26.08/17.47 tff(29703,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29704,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29705,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB58, constB59)) | v150(constB58) | (~v152(constB59))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29704, 29703])).
% 26.08/17.47 tff(29706,plain,
% 26.08/17.47 (v150(constB58) | (~v152(constB59))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29705, 24511, 7107])).
% 26.08/17.47 tff(29707,plain,
% 26.08/17.47 (~v152(constB59)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29706, 29702])).
% 26.08/17.47 tff(29708,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB59) | (~v164(constB59)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB59) | (~v164(constB59)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29709,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB59) | (~v164(constB59)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29710,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB59) | (~v164(constB59))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29709, 29708])).
% 26.08/17.47 tff(29711,plain,
% 26.08/17.47 (~v164(constB59)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29710, 24674, 29707])).
% 26.08/17.47 tff(29712,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB59)) | (~v163(constB59)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB59)) | (~v163(constB59)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29713,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB59)) | (~v163(constB59)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29714,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB59)) | (~v163(constB59))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29713, 29712])).
% 26.08/17.47 tff(29715,plain,
% 26.08/17.47 (~v163(constB59)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29714, 24179, 27432])).
% 26.08/17.47 tff(29716,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB59) | v164(constB59) | (~v160(constB59)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB59) | v164(constB59) | (~v160(constB59)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29717,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB59) | v164(constB59) | (~v160(constB59)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29718,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB59) | v164(constB59) | (~v160(constB59))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29717, 29716])).
% 26.08/17.47 tff(29719,plain,
% 26.08/17.47 (v164(constB59) | (~v160(constB59))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29718, 24688, 29715])).
% 26.08/17.47 tff(29720,plain,
% 26.08/17.47 (~v160(constB59)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29719, 29711])).
% 26.08/17.47 tff(29721,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29722,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29723,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB59, constB60)) | v160(constB59) | (~v162(constB60))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29722, 29721])).
% 26.08/17.47 tff(29724,plain,
% 26.08/17.47 (v160(constB59) | (~v162(constB60))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29723, 24703, 7230])).
% 26.08/17.47 tff(29725,plain,
% 26.08/17.47 (~v162(constB60)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29724, 29720])).
% 26.08/17.47 tff(29726,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB60) | (~v163(constB60)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB60) | (~v163(constB60)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29727,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB60) | (~v163(constB60)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29728,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB60) | (~v163(constB60))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29727, 29726])).
% 26.08/17.47 tff(29729,plain,
% 26.08/17.47 (~v163(constB60)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29728, 24718, 29725])).
% 26.08/17.47 tff(29730,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB60) | (~v164(constB60)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB60) | (~v164(constB60)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29731,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB60) | (~v164(constB60)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29732,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB60) | (~v164(constB60))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29731, 29730])).
% 26.08/17.47 tff(29733,plain,
% 26.08/17.47 (~v164(constB60)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29732, 24740, 27458])).
% 26.08/17.47 tff(29734,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB60) | v164(constB60) | (~v160(constB60)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB60) | v164(constB60) | (~v160(constB60)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29735,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB60) | v164(constB60) | (~v160(constB60)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29736,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB60) | v164(constB60) | (~v160(constB60))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29735, 29734])).
% 26.08/17.47 tff(29737,plain,
% 26.08/17.47 (v163(constB60) | (~v160(constB60))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29736, 24688, 29733])).
% 26.08/17.47 tff(29738,plain,
% 26.08/17.47 (~v160(constB60)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29737, 29729])).
% 26.08/17.47 tff(29739,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29740,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29741,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB60, constB61)) | v160(constB60) | (~v162(constB61))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29740, 29739])).
% 26.08/17.47 tff(29742,plain,
% 26.08/17.47 (v160(constB60) | (~v162(constB61))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29741, 24703, 7292])).
% 26.08/17.47 tff(29743,plain,
% 26.08/17.47 (~v162(constB61)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29742, 29738])).
% 26.08/17.47 tff(29744,plain,
% 26.08/17.47 ($false),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29743, 29581])).
% 26.08/17.47 tff(29745,plain,(~(constB61 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.47 tff(29746,assumption,(constB65 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.47 tff(29747,plain,
% 26.08/17.47 (v162(constB65) <=> v162(sK0_VarCurr)),
% 26.08/17.47 inference(monotonicity,[status(thm)],[29746])).
% 26.08/17.47 tff(29748,plain,
% 26.08/17.47 (v162(sK0_VarCurr) <=> v162(constB65)),
% 26.08/17.47 inference(symmetry,[status(thm)],[29747])).
% 26.08/17.47 tff(29749,plain,
% 26.08/17.47 (v162(constB65)),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[24130, 29748])).
% 26.08/17.47 tff(29750,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB59)) | (~v84(constB59, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB59)) | (~v84(constB59, bitIndex2)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29751,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB59)) | (~v84(constB59, bitIndex2)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29752,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB59)) | (~v84(constB59, bitIndex2))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29751, 29750])).
% 26.08/17.47 tff(29753,plain,
% 26.08/17.47 (~v145(constB59)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29752, 16179, 7128])).
% 26.08/17.47 tff(29754,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29755,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29756,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29755, 29754])).
% 26.08/17.47 tff(29757,plain,
% 26.08/17.47 (~v144(constB59)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29756, 2971, 29753])).
% 26.08/17.47 tff(29758,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29759,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29760,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29759, 29758])).
% 26.08/17.47 tff(29761,plain,
% 26.08/17.47 (~v142(constB59)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29760, 2985, 29757])).
% 26.08/17.47 tff(29762,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB59)) | (~v140(constB59)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29763,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29764,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB59)) | (~v140(constB59))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29763, 29762])).
% 26.08/17.47 tff(29765,plain,
% 26.08/17.47 (~v138(constB59)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29764, 24221, 27432])).
% 26.08/17.47 tff(29766,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29767,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29768,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29767, 29766])).
% 26.08/17.47 tff(29769,plain,
% 26.08/17.47 (v142(constB59) | (~v135(constB59))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29768, 24247, 29765])).
% 26.08/17.47 tff(29770,plain,
% 26.08/17.47 (~v135(constB59)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29769, 29761])).
% 26.08/17.47 tff(29771,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29772,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29773,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29772, 29771])).
% 26.08/17.47 tff(29774,plain,
% 26.08/17.47 (v135(constB59) | (~v137(constB60))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29773, 24262, 7230])).
% 26.08/17.47 tff(29775,plain,
% 26.08/17.47 (~v137(constB60)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29774, 29770])).
% 26.08/17.47 tff(29776,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29777,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29778,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29777, 29776])).
% 26.08/17.47 tff(29779,plain,
% 26.08/17.47 (~v138(constB60)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29778, 24277, 29775])).
% 26.08/17.47 tff(29780,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29781,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29782,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29781, 29780])).
% 26.08/17.47 tff(29783,plain,
% 26.08/17.47 (~v144(constB60)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29782, 24305, 27454])).
% 26.08/17.47 tff(29784,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29785,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29786,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29785, 29784])).
% 26.08/17.47 tff(29787,plain,
% 26.08/17.47 (~v142(constB60)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29786, 2985, 29783])).
% 26.08/17.47 tff(29788,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29789,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29790,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29789, 29788])).
% 26.08/17.47 tff(29791,plain,
% 26.08/17.47 (v138(constB60) | (~v135(constB60))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29790, 24247, 29787])).
% 26.08/17.47 tff(29792,plain,
% 26.08/17.47 (~v135(constB60)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29791, 29779])).
% 26.08/17.47 tff(29793,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29794,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29795,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29794, 29793])).
% 26.08/17.47 tff(29796,plain,
% 26.08/17.47 (v135(constB60) | (~v137(constB61))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29795, 24262, 7292])).
% 26.08/17.47 tff(29797,plain,
% 26.08/17.47 (~v137(constB61)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29796, 29792])).
% 26.08/17.47 tff(29798,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB61) | (~v153(constB61)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB61) | (~v153(constB61)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29799,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB61) | (~v153(constB61)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29800,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB61) | (~v153(constB61))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29799, 29798])).
% 26.08/17.47 tff(29801,plain,
% 26.08/17.47 (~v153(constB61)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29800, 24437, 29797])).
% 26.08/17.47 tff(29802,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB61)) | (~v155(constB61)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB61)) | (~v155(constB61)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29803,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB61)) | (~v155(constB61)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29804,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB61)) | (~v155(constB61))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29803, 29802])).
% 26.08/17.47 tff(29805,plain,
% 26.08/17.47 (~v155(constB61)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29804, 24482, 27507])).
% 26.08/17.47 tff(29806,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v155(constB61) | (~v150(constB61)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v155(constB61) | (~v150(constB61)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29807,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v155(constB61) | (~v150(constB61)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29808,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v155(constB61) | (~v150(constB61))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29807, 29806])).
% 26.08/17.47 tff(29809,plain,
% 26.08/17.47 (v153(constB61) | (~v150(constB61))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29808, 24496, 29805])).
% 26.08/17.47 tff(29810,plain,
% 26.08/17.47 (~v150(constB61)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29809, 29801])).
% 26.08/17.47 tff(29811,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29812,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29813,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29812, 29811])).
% 26.08/17.47 tff(29814,plain,
% 26.08/17.47 (v150(constB61) | (~v152(constB62))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29813, 24511, 7411])).
% 26.08/17.47 tff(29815,plain,
% 26.08/17.47 (~v152(constB62)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29814, 29810])).
% 26.08/17.47 tff(29816,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB62) | (~v155(constB62)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB62) | (~v155(constB62)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29817,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB62) | (~v155(constB62)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29818,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB62) | (~v155(constB62))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29817, 29816])).
% 26.08/17.47 tff(29819,plain,
% 26.08/17.47 (~v155(constB62)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29818, 24526, 29815])).
% 26.08/17.47 tff(29820,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB62) | (~v153(constB62)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB62) | (~v153(constB62)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29821,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB62) | (~v153(constB62)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29822,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB62) | (~v153(constB62))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29821, 29820])).
% 26.08/17.47 tff(29823,plain,
% 26.08/17.47 (~v153(constB62)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29822, 24558, 27533])).
% 26.08/17.47 tff(29824,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v155(constB62) | (~v150(constB62)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v155(constB62) | (~v150(constB62)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29825,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v155(constB62) | (~v150(constB62)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29826,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v155(constB62) | (~v150(constB62))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29825, 29824])).
% 26.08/17.47 tff(29827,plain,
% 26.08/17.47 (v155(constB62) | (~v150(constB62))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29826, 24496, 29823])).
% 26.08/17.47 tff(29828,plain,
% 26.08/17.47 (~v150(constB62)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29827, 29819])).
% 26.08/17.47 tff(29829,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29830,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29831,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29830, 29829])).
% 26.08/17.47 tff(29832,plain,
% 26.08/17.47 (v150(constB62) | (~v152(constB63))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29831, 24511, 7500])).
% 26.08/17.47 tff(29833,plain,
% 26.08/17.47 (~v152(constB63)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29832, 29828])).
% 26.08/17.47 tff(29834,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB63) | (~v164(constB63)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB63) | (~v164(constB63)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29835,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB63) | (~v164(constB63)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29836,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB63) | (~v164(constB63))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29835, 29834])).
% 26.08/17.47 tff(29837,plain,
% 26.08/17.47 (~v164(constB63)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29836, 24674, 29833])).
% 26.08/17.47 tff(29838,assumption,(v18(constB64)), introduced(assumption)).
% 26.08/17.47 tff(29839,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB64))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29840,plain,
% 26.08/17.47 ($false),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29839, 3012, 29838])).
% 26.08/17.47 tff(29841,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.47 tff(29842,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29843,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29844,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29843, 29842])).
% 26.08/17.47 tff(29845,plain,
% 26.08/17.47 (v22(constB64)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29844, 3028, 7671])).
% 26.08/17.47 tff(29846,plain,
% 26.08/17.47 (((~![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)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29847,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB64) | (~v22(constB64)) | (~v19(constB64)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29848,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB64) | (~v22(constB64)) | (~v19(constB64))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29847, 29846])).
% 26.08/17.47 tff(29849,plain,
% 26.08/17.47 (v18(constB64) | (~v19(constB64))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29848, 3042, 29845])).
% 26.08/17.47 tff(29850,plain,
% 26.08/17.47 (~v19(constB64)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29849, 29841])).
% 26.08/17.47 tff(29851,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29852,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29853,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29852, 29851])).
% 26.08/17.47 tff(29854,plain,
% 26.08/17.47 (v13(constB64)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29853, 3054, 29850])).
% 26.08/17.47 tff(29855,plain,
% 26.08/17.47 (((~![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)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29856,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29857,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB63) | (~v13(constB64)) | (~nextState(constB63, constB64))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29856, 29855])).
% 26.08/17.47 tff(29858,plain,
% 26.08/17.47 (v9(constB63) | (~v13(constB64))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29857, 3068, 7651])).
% 26.08/17.47 tff(29859,plain,
% 26.08/17.47 (v9(constB63)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29858, 29854])).
% 26.08/17.47 tff(29860,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29861,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29862,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63)),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29861, 29860])).
% 26.08/17.47 tff(29863,plain,
% 26.08/17.47 ((~v9(constB63)) | v141(constB63)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29862, 3083, 7497])).
% 26.08/17.47 tff(29864,plain,
% 26.08/17.47 (v141(constB63)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29863, 29859])).
% 26.08/17.47 tff(29865,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB63) | (~v141(constB63)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB63) | (~v141(constB63)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29866,plain,
% 26.08/17.47 (((~v141(constB63)) | v140(constB63)) <=> (v140(constB63) | (~v141(constB63)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29867,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB63)) | v140(constB63))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB63) | (~v141(constB63))))),
% 26.08/17.47 inference(monotonicity,[status(thm)],[29866])).
% 26.08/17.47 tff(29868,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB63)) | v140(constB63))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB63) | (~v141(constB63)))),
% 26.08/17.47 inference(transitivity,[status(thm)],[29867, 29865])).
% 26.08/17.47 tff(29869,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB63)) | v140(constB63))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29870,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB63) | (~v141(constB63))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29869, 29868])).
% 26.08/17.47 tff(29871,plain,
% 26.08/17.47 (v140(constB63)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29870, 24165, 29864])).
% 26.08/17.47 tff(29872,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB63)) | (~v163(constB63)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB63)) | (~v163(constB63)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29873,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB63)) | (~v163(constB63)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29874,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB63)) | (~v163(constB63))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29873, 29872])).
% 26.08/17.47 tff(29875,plain,
% 26.08/17.47 (~v163(constB63)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29874, 24179, 29871])).
% 26.08/17.47 tff(29876,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB63) | v164(constB63) | (~v160(constB63)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB63) | v164(constB63) | (~v160(constB63)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29877,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB63) | v164(constB63) | (~v160(constB63)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29878,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB63) | v164(constB63) | (~v160(constB63))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29877, 29876])).
% 26.08/17.47 tff(29879,plain,
% 26.08/17.47 (v164(constB63) | (~v160(constB63))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29878, 24688, 29875])).
% 26.08/17.47 tff(29880,plain,
% 26.08/17.47 (~v160(constB63)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29879, 29837])).
% 26.08/17.47 tff(29881,plain,
% 26.08/17.47 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29882,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29883,plain,
% 26.08/17.47 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB63, constB64)) | v160(constB63) | (~v162(constB64))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29882, 29881])).
% 26.08/17.47 tff(29884,plain,
% 26.08/17.47 (v160(constB63) | (~v162(constB64))),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29883, 24703, 7651])).
% 26.08/17.47 tff(29885,plain,
% 26.08/17.47 (~v162(constB64)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29884, 29880])).
% 26.08/17.47 tff(29886,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB64) | (~v163(constB64)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB64) | (~v163(constB64)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29887,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB64) | (~v163(constB64)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29888,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB64) | (~v163(constB64))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29887, 29886])).
% 26.08/17.47 tff(29889,plain,
% 26.08/17.47 (~v163(constB64)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29888, 24718, 29885])).
% 26.08/17.47 tff(29890,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB64)) | (~v141(constB64)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB64)) | (~v141(constB64)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29891,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB64)) | (~v141(constB64)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29892,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB64)) | (~v141(constB64))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29891, 29890])).
% 26.08/17.47 tff(29893,plain,
% 26.08/17.47 (~v141(constB64)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29892, 24291, 7671])).
% 26.08/17.47 tff(29894,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB64) | (~v154(constB64)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB64) | (~v154(constB64)))),
% 26.08/17.47 inference(rewrite,[status(thm)],[])).
% 26.08/17.47 tff(29895,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB64) | (~v154(constB64)))),
% 26.08/17.47 inference(quant_inst,[status(thm)],[])).
% 26.08/17.47 tff(29896,plain,
% 26.08/17.47 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB64) | (~v154(constB64))),
% 26.08/17.47 inference(modus_ponens,[status(thm)],[29895, 29894])).
% 26.08/17.47 tff(29897,plain,
% 26.08/17.47 (~v154(constB64)),
% 26.08/17.47 inference(unit_resolution,[status(thm)],[29896, 24544, 29893])).
% 26.08/17.47 tff(29898,plain,
% 26.08/17.47 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB64) | (~v164(constB64)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB64) | (~v164(constB64)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29899,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB64) | (~v164(constB64)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29900,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB64) | (~v164(constB64))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29899, 29898])).
% 26.08/17.48 tff(29901,plain,
% 26.08/17.48 (~v164(constB64)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29900, 24740, 29897])).
% 26.08/17.48 tff(29902,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB64) | v164(constB64) | (~v160(constB64)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB64) | v164(constB64) | (~v160(constB64)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29903,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB64) | v164(constB64) | (~v160(constB64)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29904,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB64) | v164(constB64) | (~v160(constB64))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29903, 29902])).
% 26.08/17.48 tff(29905,plain,
% 26.08/17.48 (v163(constB64) | (~v160(constB64))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29904, 24688, 29901])).
% 26.08/17.48 tff(29906,plain,
% 26.08/17.48 (~v160(constB64)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29905, 29889])).
% 26.08/17.48 tff(29907,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29908,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29909,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB64, constB65)) | v160(constB64) | (~v162(constB65))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29908, 29907])).
% 26.08/17.48 tff(29910,plain,
% 26.08/17.48 (v160(constB64) | (~v162(constB65))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29909, 24703, 7713])).
% 26.08/17.48 tff(29911,plain,
% 26.08/17.48 (~v162(constB65)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29910, 29906])).
% 26.08/17.48 tff(29912,plain,
% 26.08/17.48 ($false),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29911, 29749])).
% 26.08/17.48 tff(29913,plain,(~(constB65 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.48 tff(29914,assumption,(constB199 = sK0_VarCurr), introduced(assumption)).
% 26.08/17.48 tff(29915,plain,
% 26.08/17.48 (v162(constB199) <=> v162(sK0_VarCurr)),
% 26.08/17.48 inference(monotonicity,[status(thm)],[29914])).
% 26.08/17.48 tff(29916,plain,
% 26.08/17.48 (v162(sK0_VarCurr) <=> v162(constB199)),
% 26.08/17.48 inference(symmetry,[status(thm)],[29915])).
% 26.08/17.48 tff(29917,plain,
% 26.08/17.48 (v162(constB199)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[24130, 29916])).
% 26.08/17.48 tff(29918,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB187)) | (~v124(constB187, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB187)) | (~v124(constB187, bitIndex1)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29919,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v116(constB187)) | (~v124(constB187, bitIndex1)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29920,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v116(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v116(constB187)) | (~v124(constB187, bitIndex1))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29919, 29918])).
% 26.08/17.48 tff(29921,plain,
% 26.08/17.48 (~v124(constB187, bitIndex1)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29920, 1369, 23698])).
% 26.08/17.48 tff(29922,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29923,plain,
% 26.08/17.48 ((v26(constB187) | v124(constB187, bitIndex1) | (~v121(constB187, bitIndex1))) <=> ((~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29924,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB187) | v124(constB187, bitIndex1) | (~v121(constB187, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1)))),
% 26.08/17.48 inference(monotonicity,[status(thm)],[29923])).
% 26.08/17.48 tff(29925,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB187) | v124(constB187, bitIndex1) | (~v121(constB187, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1))),
% 26.08/17.48 inference(transitivity,[status(thm)],[29924, 29922])).
% 26.08/17.48 tff(29926,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB187) | v124(constB187, bitIndex1) | (~v121(constB187, bitIndex1)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29927,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB187, bitIndex1)) | v26(constB187) | v124(constB187, bitIndex1)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29926, 29925])).
% 26.08/17.48 tff(29928,plain,
% 26.08/17.48 ((~v121(constB187, bitIndex1)) | v124(constB187, bitIndex1)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29927, 476, 23706])).
% 26.08/17.48 tff(29929,plain,
% 26.08/17.48 (~v121(constB187, bitIndex1)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29928, 29921])).
% 26.08/17.48 tff(29930,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29931,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB187, constB188)) | v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29932,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB187, constB188)) | v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29931, 29930])).
% 26.08/17.48 tff(29933,plain,
% 26.08/17.48 (v121(constB187, bitIndex1) | (~v123(constB188, bitIndex1))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29932, 494, 23714])).
% 26.08/17.48 tff(29934,plain,
% 26.08/17.48 (~v123(constB188, bitIndex1)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29933, 29929])).
% 26.08/17.48 tff(29935,plain,
% 26.08/17.48 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29936,plain,
% 26.08/17.48 (((~v84(constB188, bitIndex1)) | (~v94(constB188)) | v123(constB188, bitIndex1)) <=> ((~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29937,plain,
% 26.08/17.48 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~v94(constB188)) | v123(constB188, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188))))),
% 26.08/17.48 inference(monotonicity,[status(thm)],[29936])).
% 26.08/17.48 tff(29938,plain,
% 26.08/17.48 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~v94(constB188)) | v123(constB188, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188)))),
% 26.08/17.48 inference(transitivity,[status(thm)],[29937, 29935])).
% 26.08/17.48 tff(29939,plain,
% 26.08/17.48 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB188, bitIndex1)) | (~v94(constB188)) | v123(constB188, bitIndex1))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29940,plain,
% 26.08/17.48 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1) | (~v94(constB188))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29939, 29938])).
% 26.08/17.48 tff(29941,plain,
% 26.08/17.48 ((~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29940, 509, 23947])).
% 26.08/17.48 tff(29942,plain,
% 26.08/17.48 (~v84(constB188, bitIndex1)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29941, 29934])).
% 26.08/17.48 tff(29943,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29944,plain,
% 26.08/17.48 (((~nextState(constB188, constB189)) | v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1))) <=> (v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29945,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1))))),
% 26.08/17.48 inference(monotonicity,[status(thm)],[29944])).
% 26.08/17.48 tff(29946,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1)))),
% 26.08/17.48 inference(transitivity,[status(thm)],[29945, 29943])).
% 26.08/17.48 tff(29947,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29948,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB188, bitIndex1) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex1))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29947, 29946])).
% 26.08/17.48 tff(29949,plain,
% 26.08/17.48 (v84(constB188, bitIndex1) | v94(constB189) | (~v84(constB189, bitIndex1))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29948, 126, 23961])).
% 26.08/17.48 tff(29950,plain,
% 26.08/17.48 (v84(constB188, bitIndex1) | (~v84(constB189, bitIndex1))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29949, 23973])).
% 26.08/17.48 tff(29951,plain,
% 26.08/17.48 (~v84(constB189, bitIndex1)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29950, 29942])).
% 26.08/17.48 tff(29952,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29953,plain,
% 26.08/17.48 (((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0))) <=> (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29954,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | (v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0))))),
% 26.08/17.48 inference(monotonicity,[status(thm)],[29953])).
% 26.08/17.48 tff(29955,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 26.08/17.48 inference(transitivity,[status(thm)],[29954, 29952])).
% 26.08/17.48 tff(29956,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | ((~nextState(constB188, constB189)) | v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29957,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex0) | v94(VarNext) | (~v84(VarNext, bitIndex0)))) | v84(constB188, bitIndex0) | (~nextState(constB188, constB189)) | v94(constB189) | (~v84(constB189, bitIndex0))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29956, 29955])).
% 26.08/17.48 tff(29958,plain,
% 26.08/17.48 (v84(constB188, bitIndex0) | v94(constB189) | (~v84(constB189, bitIndex0))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29957, 147, 23961])).
% 26.08/17.48 tff(29959,plain,
% 26.08/17.48 (v84(constB188, bitIndex0) | (~v84(constB189, bitIndex0))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29958, 23973])).
% 26.08/17.48 tff(29960,plain,
% 26.08/17.48 (~v84(constB189, bitIndex0)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29959, 23939])).
% 26.08/17.48 tff(29961,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)) | v172(constB189))) <=> ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)) | v172(constB189))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29962,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)) | v172(constB189))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29963,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)) | v172(constB189)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29962, 29961])).
% 26.08/17.48 tff(29964,plain,
% 26.08/17.48 (v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)) | v172(constB189)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29963, 1454, 29960])).
% 26.08/17.48 tff(29965,plain,
% 26.08/17.48 (v172(constB189)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29964, 23982, 29951])).
% 26.08/17.48 tff(29966,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB189) | (~v172(constB189)))) <=> ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB189) | (~v172(constB189)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29967,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB189) | (~v172(constB189)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29968,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB189) | (~v172(constB189))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29967, 29966])).
% 26.08/17.48 tff(29969,plain,
% 26.08/17.48 (v109(constB189)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29968, 1468, 29965])).
% 26.08/17.48 tff(29970,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB189)) | v108(constB189))) <=> ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB189)) | v108(constB189))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29971,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | ((~v109(constB189)) | v108(constB189))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29972,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v109(VarCurr)) | v108(VarCurr))) | (~v109(constB189)) | v108(constB189)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29971, 29970])).
% 26.08/17.48 tff(29973,plain,
% 26.08/17.48 (v108(constB189)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29972, 235, 29969])).
% 26.08/17.48 tff(29974,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB189) | (~v108(constB189)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB189) | (~v108(constB189)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29975,plain,
% 26.08/17.48 (((~v108(constB189)) | v107(constB189)) <=> (v107(constB189) | (~v108(constB189)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29976,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB189)) | v107(constB189))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB189) | (~v108(constB189))))),
% 26.08/17.48 inference(monotonicity,[status(thm)],[29975])).
% 26.08/17.48 tff(29977,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB189)) | v107(constB189))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB189) | (~v108(constB189)))),
% 26.08/17.48 inference(transitivity,[status(thm)],[29976, 29974])).
% 26.08/17.48 tff(29978,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB189)) | v107(constB189))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29979,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB189) | (~v108(constB189))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29978, 29977])).
% 26.08/17.48 tff(29980,plain,
% 26.08/17.48 (v107(constB189)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29979, 249, 29973])).
% 26.08/17.48 tff(29981,assumption,(v26(constB189)), introduced(assumption)).
% 26.08/17.48 tff(29982,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB189))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29983,plain,
% 26.08/17.48 ($false),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29982, 18, 29981])).
% 26.08/17.48 tff(29984,plain,(~v26(constB189)), inference(lemma,lemma(discharge,[]))).
% 26.08/17.48 tff(29985,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB189) | (~v107(constB189)) | v106(constB189))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB189) | (~v107(constB189)) | v106(constB189))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29986,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB189) | (~v107(constB189)) | v106(constB189))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29987,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB189) | (~v107(constB189)) | v106(constB189)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29986, 29985])).
% 26.08/17.48 tff(29988,plain,
% 26.08/17.48 ((~v107(constB189)) | v106(constB189)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29987, 263, 29984])).
% 26.08/17.48 tff(29989,plain,
% 26.08/17.48 (v106(constB189)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29988, 29980])).
% 26.08/17.48 tff(29990,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB189) | (~v106(constB189)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB189) | (~v106(constB189)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29991,plain,
% 26.08/17.48 (((~v106(constB189)) | v102(constB189)) <=> (v102(constB189) | (~v106(constB189)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29992,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB189)) | v102(constB189))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB189) | (~v106(constB189))))),
% 26.08/17.48 inference(monotonicity,[status(thm)],[29991])).
% 26.08/17.48 tff(29993,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB189)) | v102(constB189))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB189) | (~v106(constB189)))),
% 26.08/17.48 inference(transitivity,[status(thm)],[29992, 29990])).
% 26.08/17.48 tff(29994,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB189)) | v102(constB189))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(29995,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB189) | (~v106(constB189))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29994, 29993])).
% 26.08/17.48 tff(29996,plain,
% 26.08/17.48 (v102(constB189)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[29995, 275, 29989])).
% 26.08/17.48 tff(29997,plain,
% 26.08/17.48 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(29998,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_189_1')).
% 26.08/17.48 tff(29999,plain,
% 26.08/17.48 (nextState(constB189, constB190)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[29998, 29997])).
% 26.08/17.48 tff(30000,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30001,plain,
% 26.08/17.48 (((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190)) <=> ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30002,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189))))),
% 26.08/17.48 inference(monotonicity,[status(thm)],[30001])).
% 26.08/17.48 tff(30003,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189)))),
% 26.08/17.48 inference(transitivity,[status(thm)],[30002, 30000])).
% 26.08/17.48 tff(30004,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB189, constB190)) | (~v102(constB189)) | v104(constB190))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(30005,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB189, constB190)) | v104(constB190) | (~v102(constB189))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[30004, 30003])).
% 26.08/17.48 tff(30006,plain,
% 26.08/17.48 (v104(constB190) | (~v102(constB189))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30005, 295, 29999])).
% 26.08/17.48 tff(30007,plain,
% 26.08/17.48 (v104(constB190)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30006, 29996])).
% 26.08/17.48 tff(30008,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30009,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(30010,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB189) | (~nextState(constB189, constB190)) | (~v98(constB190))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[30009, 30008])).
% 26.08/17.48 tff(30011,plain,
% 26.08/17.48 (~v98(constB190)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30010, 313, 29999, 23958])).
% 26.08/17.48 tff(30012,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30013,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB189, constB190)) | v96(constB190) | v98(constB190))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(30014,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB189, constB190)) | v96(constB190) | v98(constB190)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[30013, 30012])).
% 26.08/17.48 tff(30015,plain,
% 26.08/17.48 (v96(constB190) | v98(constB190)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30014, 327, 29999])).
% 26.08/17.48 tff(30016,plain,
% 26.08/17.48 (v96(constB190)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30015, 30011])).
% 26.08/17.48 tff(30017,plain,
% 26.08/17.48 (v1(constB190) <=> v1(constB190)),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30018,axiom,(v1(constB190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_190_1')).
% 26.08/17.48 tff(30019,plain,
% 26.08/17.48 (v1(constB190)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[30018, 30017])).
% 26.08/17.48 tff(30020,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30021,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190)))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(30022,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB189, constB190)) | v95(constB190) | (~v96(constB190)) | (~v1(constB190))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[30021, 30020])).
% 26.08/17.48 tff(30023,plain,
% 26.08/17.48 (v95(constB190) | (~v96(constB190))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30022, 345, 29999, 30019])).
% 26.08/17.48 tff(30024,plain,
% 26.08/17.48 (v95(constB190)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30023, 30016])).
% 26.08/17.48 tff(30025,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30026,plain,
% 26.08/17.48 (((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190)) <=> ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30027,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190))))),
% 26.08/17.48 inference(monotonicity,[status(thm)],[30026])).
% 26.08/17.48 tff(30028,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190)))),
% 26.08/17.48 inference(transitivity,[status(thm)],[30027, 30025])).
% 26.08/17.48 tff(30029,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB189, constB190)) | (~v95(constB190)) | (~v104(constB190)) | v94(constB190))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(30030,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB189, constB190)) | v94(constB190) | (~v95(constB190)) | (~v104(constB190))),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[30029, 30028])).
% 26.08/17.48 tff(30031,plain,
% 26.08/17.48 (v94(constB190) | (~v95(constB190)) | (~v104(constB190))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30030, 360, 29999])).
% 26.08/17.48 tff(30032,plain,
% 26.08/17.48 (v94(constB190) | (~v104(constB190))),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30031, 30024])).
% 26.08/17.48 tff(30033,plain,
% 26.08/17.48 (v94(constB190)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30032, 30007])).
% 26.08/17.48 tff(30034,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB189)) | v124(constB189, bitIndex2))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB189)) | v124(constB189, bitIndex2))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30035,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | ((~v172(constB189)) | v124(constB189, bitIndex2))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(30036,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex2))) | (~v172(constB189)) | v124(constB189, bitIndex2)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[30035, 30034])).
% 26.08/17.48 tff(30037,plain,
% 26.08/17.48 (v124(constB189, bitIndex2)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30036, 1539, 29965])).
% 26.08/17.48 tff(30038,plain,
% 26.08/17.48 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB189) | (~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB189) | (~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30039,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | (v26(constB189) | (~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(30040,plain,
% 26.08/17.48 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex2)) | v121(VarCurr, bitIndex2))) | v26(constB189) | (~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2)),
% 26.08/17.48 inference(modus_ponens,[status(thm)],[30039, 30038])).
% 26.08/17.48 tff(30041,plain,
% 26.08/17.48 ((~v124(constB189, bitIndex2)) | v121(constB189, bitIndex2)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30040, 1287, 29984])).
% 26.08/17.48 tff(30042,plain,
% 26.08/17.48 (v121(constB189, bitIndex2)),
% 26.08/17.48 inference(unit_resolution,[status(thm)],[30041, 30037])).
% 26.08/17.48 tff(30043,plain,
% 26.08/17.48 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2))),
% 26.08/17.48 inference(rewrite,[status(thm)],[])).
% 26.08/17.48 tff(30044,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2))),
% 26.08/17.48 inference(quant_inst,[status(thm)],[])).
% 26.08/17.48 tff(30045,plain,
% 26.08/17.48 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex2)) | v123(VarNext, bitIndex2))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2)),
% 26.17/17.48 inference(modus_ponens,[status(thm)],[30044, 30043])).
% 26.17/17.48 tff(30046,plain,
% 26.17/17.48 ((~v121(constB189, bitIndex2)) | v123(constB190, bitIndex2)),
% 26.17/17.48 inference(unit_resolution,[status(thm)],[30045, 1302, 29999])).
% 26.17/17.48 tff(30047,plain,
% 26.17/17.48 (v123(constB190, bitIndex2)),
% 26.17/17.48 inference(unit_resolution,[status(thm)],[30046, 30042])).
% 26.17/17.48 tff(30048,plain,
% 26.17/17.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190)))),
% 26.17/17.48 inference(rewrite,[status(thm)],[])).
% 26.17/17.48 tff(30049,plain,
% 26.17/17.48 ((v84(constB190, bitIndex2) | (~v94(constB190)) | (~v123(constB190, bitIndex2))) <=> (v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190)))),
% 26.17/17.48 inference(rewrite,[status(thm)],[])).
% 26.17/17.48 tff(30050,plain,
% 26.17/17.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v94(constB190)) | (~v123(constB190, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190))))),
% 26.17/17.48 inference(monotonicity,[status(thm)],[30049])).
% 26.17/17.48 tff(30051,plain,
% 26.17/17.48 (((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v94(constB190)) | (~v123(constB190, bitIndex2)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190)))),
% 26.17/17.48 inference(transitivity,[status(thm)],[30050, 30048])).
% 26.17/17.48 tff(30052,plain,
% 26.17/17.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | (v84(constB190, bitIndex2) | (~v94(constB190)) | (~v123(constB190, bitIndex2)))),
% 26.17/17.48 inference(quant_inst,[status(thm)],[])).
% 26.17/17.48 tff(30053,plain,
% 26.17/17.48 ((~![VarNext: state_type] : (v84(VarNext, bitIndex2) | (~v94(VarNext)) | (~v123(VarNext, bitIndex2)))) | v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2)) | (~v94(constB190))),
% 26.17/17.48 inference(modus_ponens,[status(thm)],[30052, 30051])).
% 26.17/17.48 tff(30054,plain,
% 26.17/17.48 (v84(constB190, bitIndex2) | (~v94(constB190))),
% 26.17/17.48 inference(unit_resolution,[status(thm)],[30053, 1317, 30047])).
% 26.17/17.48 tff(30055,plain,
% 26.17/17.48 (v84(constB190, bitIndex2)),
% 26.17/17.48 inference(unit_resolution,[status(thm)],[30054, 30033])).
% 26.17/17.48 tff(30056,plain,
% 26.17/17.48 ((~v1(constB191)) <=> (~v1(constB191))),
% 26.17/17.48 inference(rewrite,[status(thm)],[])).
% 26.17/17.48 tff(30057,axiom,(~v1(constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_191_1_1')).
% 26.17/17.48 tff(30058,plain,
% 26.17/17.48 (~v1(constB191)),
% 26.17/17.48 inference(modus_ponens,[status(thm)],[30057, 30056])).
% 26.17/17.49 tff(30059,plain,
% 26.17/17.49 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30060,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_190_1')).
% 26.17/17.49 tff(30061,plain,
% 26.17/17.49 (nextState(constB190, constB191)),
% 26.17/17.49 inference(modus_ponens,[status(thm)],[30060, 30059])).
% 26.17/17.49 tff(30062,plain,
% 26.17/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30063,plain,
% 26.17/17.49 (((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191)) <=> (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30064,plain,
% 26.17/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191))))),
% 26.17/17.49 inference(monotonicity,[status(thm)],[30063])).
% 26.17/17.49 tff(30065,plain,
% 26.17/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191)))),
% 26.17/17.49 inference(transitivity,[status(thm)],[30064, 30062])).
% 26.17/17.49 tff(30066,plain,
% 26.17/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB190, constB191)) | (~v95(constB191)) | v1(constB191))),
% 26.17/17.49 inference(quant_inst,[status(thm)],[])).
% 26.17/17.49 tff(30067,plain,
% 26.17/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB191) | (~nextState(constB190, constB191)) | (~v95(constB191))),
% 26.17/17.49 inference(modus_ponens,[status(thm)],[30066, 30065])).
% 26.17/17.49 tff(30068,plain,
% 26.17/17.49 (~v95(constB191)),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30067, 73, 30061, 30058])).
% 26.17/17.49 tff(30069,plain,
% 26.17/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30070,plain,
% 26.17/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191)))),
% 26.17/17.49 inference(quant_inst,[status(thm)],[])).
% 26.17/17.49 tff(30071,plain,
% 26.17/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB190, constB191)) | v95(constB191) | (~v94(constB191))),
% 26.17/17.49 inference(modus_ponens,[status(thm)],[30070, 30069])).
% 26.17/17.49 tff(30072,plain,
% 26.17/17.49 (v95(constB191) | (~v94(constB191))),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30071, 90, 30061])).
% 26.17/17.49 tff(30073,plain,
% 26.17/17.49 (~v94(constB191)),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30072, 30068])).
% 26.17/17.49 tff(30074,plain,
% 26.17/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30075,plain,
% 26.17/17.49 (((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2)) <=> ((~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30076,plain,
% 26.17/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2)))),
% 26.17/17.49 inference(monotonicity,[status(thm)],[30075])).
% 26.17/17.49 tff(30077,plain,
% 26.17/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2))),
% 26.17/17.49 inference(transitivity,[status(thm)],[30076, 30074])).
% 26.17/17.49 tff(30078,plain,
% 26.17/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2))),
% 26.17/17.49 inference(quant_inst,[status(thm)],[])).
% 26.17/17.49 tff(30079,plain,
% 26.17/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex2)) | v94(VarNext) | v84(VarNext, bitIndex2))) | (~v84(constB190, bitIndex2)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex2)),
% 26.17/17.49 inference(modus_ponens,[status(thm)],[30078, 30077])).
% 26.17/17.49 tff(30080,plain,
% 26.17/17.49 ((~v84(constB190, bitIndex2)) | v94(constB191) | v84(constB191, bitIndex2)),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30079, 1353, 30061])).
% 26.17/17.49 tff(30081,plain,
% 26.17/17.49 ((~v84(constB190, bitIndex2)) | v84(constB191, bitIndex2)),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30080, 30073])).
% 26.17/17.49 tff(30082,plain,
% 26.17/17.49 (v84(constB191, bitIndex2)),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30081, 30055])).
% 26.17/17.49 tff(30083,plain,
% 26.17/17.49 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB189)) | (~v124(constB189, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB189)) | (~v124(constB189, bitIndex1)))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30084,plain,
% 26.17/17.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | ((~v172(constB189)) | (~v124(constB189, bitIndex1)))),
% 26.17/17.49 inference(quant_inst,[status(thm)],[])).
% 26.17/17.49 tff(30085,plain,
% 26.17/17.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | (~v124(VarCurr, bitIndex1)))) | (~v172(constB189)) | (~v124(constB189, bitIndex1))),
% 26.17/17.49 inference(modus_ponens,[status(thm)],[30084, 30083])).
% 26.17/17.49 tff(30086,plain,
% 26.17/17.49 (~v124(constB189, bitIndex1)),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30085, 1595, 29965])).
% 26.17/17.49 tff(30087,plain,
% 26.17/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30088,plain,
% 26.17/17.49 ((v26(constB189) | v124(constB189, bitIndex1) | (~v121(constB189, bitIndex1))) <=> ((~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30089,plain,
% 26.17/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB189) | v124(constB189, bitIndex1) | (~v121(constB189, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | ((~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1)))),
% 26.17/17.49 inference(monotonicity,[status(thm)],[30088])).
% 26.17/17.49 tff(30090,plain,
% 26.17/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB189) | v124(constB189, bitIndex1) | (~v121(constB189, bitIndex1)))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1))),
% 26.17/17.49 inference(transitivity,[status(thm)],[30089, 30087])).
% 26.17/17.49 tff(30091,plain,
% 26.17/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (v26(constB189) | v124(constB189, bitIndex1) | (~v121(constB189, bitIndex1)))),
% 26.17/17.49 inference(quant_inst,[status(thm)],[])).
% 26.17/17.49 tff(30092,plain,
% 26.17/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | v124(VarCurr, bitIndex1) | (~v121(VarCurr, bitIndex1)))) | (~v121(constB189, bitIndex1)) | v26(constB189) | v124(constB189, bitIndex1)),
% 26.17/17.49 inference(modus_ponens,[status(thm)],[30091, 30090])).
% 26.17/17.49 tff(30093,plain,
% 26.17/17.49 ((~v121(constB189, bitIndex1)) | v124(constB189, bitIndex1)),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30092, 476, 29984])).
% 26.17/17.49 tff(30094,plain,
% 26.17/17.49 (~v121(constB189, bitIndex1)),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30093, 30086])).
% 26.17/17.49 tff(30095,plain,
% 26.17/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1)))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30096,plain,
% 26.17/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | ((~nextState(constB189, constB190)) | v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1)))),
% 26.17/17.49 inference(quant_inst,[status(thm)],[])).
% 26.17/17.49 tff(30097,plain,
% 26.17/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v121(VarCurr, bitIndex1) | (~v123(VarNext, bitIndex1)))) | (~nextState(constB189, constB190)) | v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1))),
% 26.17/17.49 inference(modus_ponens,[status(thm)],[30096, 30095])).
% 26.17/17.49 tff(30098,plain,
% 26.17/17.49 (v121(constB189, bitIndex1) | (~v123(constB190, bitIndex1))),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30097, 494, 29999])).
% 26.17/17.49 tff(30099,plain,
% 26.17/17.49 (~v123(constB190, bitIndex1)),
% 26.17/17.49 inference(unit_resolution,[status(thm)],[30098, 30094])).
% 26.17/17.49 tff(30100,plain,
% 26.17/17.49 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190)))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190)))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30101,plain,
% 26.17/17.49 (((~v84(constB190, bitIndex1)) | (~v94(constB190)) | v123(constB190, bitIndex1)) <=> ((~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190)))),
% 26.17/17.49 inference(rewrite,[status(thm)],[])).
% 26.17/17.49 tff(30102,plain,
% 26.17/17.49 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~v94(constB190)) | v123(constB190, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190))))),
% 26.17/17.49 inference(monotonicity,[status(thm)],[30101])).
% 26.17/17.49 tff(30103,plain,
% 26.17/17.49 (((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~v94(constB190)) | v123(constB190, bitIndex1))) <=> ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190)))),
% 26.17/17.49 inference(transitivity,[status(thm)],[30102, 30100])).
% 26.17/17.49 tff(30104,plain,
% 26.18/17.49 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | ((~v84(constB190, bitIndex1)) | (~v94(constB190)) | v123(constB190, bitIndex1))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30105,plain,
% 26.18/17.49 ((~![VarNext: state_type] : ((~v84(VarNext, bitIndex1)) | (~v94(VarNext)) | v123(VarNext, bitIndex1))) | (~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1) | (~v94(constB190))),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30104, 30103])).
% 26.18/17.49 tff(30106,plain,
% 26.18/17.49 ((~v84(constB190, bitIndex1)) | (~v94(constB190))),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30105, 509, 30099])).
% 26.18/17.49 tff(30107,plain,
% 26.18/17.49 (~v84(constB190, bitIndex1)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30106, 30033])).
% 26.18/17.49 tff(30108,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30109,plain,
% 26.18/17.49 (((~nextState(constB190, constB191)) | v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1))) <=> (v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30110,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | (v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1))))),
% 26.18/17.49 inference(monotonicity,[status(thm)],[30109])).
% 26.18/17.49 tff(30111,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1)))),
% 26.18/17.49 inference(transitivity,[status(thm)],[30110, 30108])).
% 26.18/17.49 tff(30112,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | ((~nextState(constB190, constB191)) | v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1)))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30113,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v84(VarCurr, bitIndex1) | v94(VarNext) | (~v84(VarNext, bitIndex1)))) | v84(constB190, bitIndex1) | (~nextState(constB190, constB191)) | v94(constB191) | (~v84(constB191, bitIndex1))),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30112, 30111])).
% 26.18/17.49 tff(30114,plain,
% 26.18/17.49 (v84(constB190, bitIndex1) | v94(constB191) | (~v84(constB191, bitIndex1))),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30113, 126, 30061])).
% 26.18/17.49 tff(30115,plain,
% 26.18/17.49 (v84(constB190, bitIndex1) | (~v84(constB191, bitIndex1))),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30114, 30073])).
% 26.18/17.49 tff(30116,plain,
% 26.18/17.49 (~v84(constB191, bitIndex1)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30115, 30107])).
% 26.18/17.49 tff(30117,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB189)) | v124(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB189)) | v124(constB189, bitIndex0))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30118,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | ((~v172(constB189)) | v124(constB189, bitIndex0))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30119,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v172(VarCurr)) | v124(VarCurr, bitIndex0))) | (~v172(constB189)) | v124(constB189, bitIndex0)),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30118, 30117])).
% 26.18/17.49 tff(30120,plain,
% 26.18/17.49 (v124(constB189, bitIndex0)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30119, 1636, 29965])).
% 26.18/17.49 tff(30121,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30122,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | (v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30123,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex0)) | v121(VarCurr, bitIndex0))) | v26(constB189) | (~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0)),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30122, 30121])).
% 26.18/17.49 tff(30124,plain,
% 26.18/17.49 ((~v124(constB189, bitIndex0)) | v121(constB189, bitIndex0)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30123, 547, 29984])).
% 26.18/17.49 tff(30125,plain,
% 26.18/17.49 (v121(constB189, bitIndex0)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30124, 30120])).
% 26.18/17.49 tff(30126,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30127,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | ((~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30128,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex0)) | v123(VarNext, bitIndex0))) | (~nextState(constB189, constB190)) | (~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0)),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30127, 30126])).
% 26.18/17.49 tff(30129,plain,
% 26.18/17.49 ((~v121(constB189, bitIndex0)) | v123(constB190, bitIndex0)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30128, 562, 29999])).
% 26.18/17.49 tff(30130,plain,
% 26.18/17.49 (v123(constB190, bitIndex0)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30129, 30125])).
% 26.18/17.49 tff(30131,plain,
% 26.18/17.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30132,plain,
% 26.18/17.49 ((v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0))) <=> (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30133,plain,
% 26.18/17.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190))))),
% 26.18/17.49 inference(monotonicity,[status(thm)],[30132])).
% 26.18/17.49 tff(30134,plain,
% 26.18/17.49 (((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190)))),
% 26.18/17.49 inference(transitivity,[status(thm)],[30133, 30131])).
% 26.18/17.49 tff(30135,plain,
% 26.18/17.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | (v84(constB190, bitIndex0) | (~v94(constB190)) | (~v123(constB190, bitIndex0)))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30136,plain,
% 26.18/17.49 ((~![VarNext: state_type] : (v84(VarNext, bitIndex0) | (~v94(VarNext)) | (~v123(VarNext, bitIndex0)))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0)) | (~v94(constB190))),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30135, 30134])).
% 26.18/17.49 tff(30137,plain,
% 26.18/17.49 (v84(constB190, bitIndex0) | (~v94(constB190))),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30136, 577, 30130])).
% 26.18/17.49 tff(30138,plain,
% 26.18/17.49 (v84(constB190, bitIndex0)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30137, 30033])).
% 26.18/17.49 tff(30139,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30140,plain,
% 26.18/17.49 (((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0)) <=> ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30141,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0)))),
% 26.18/17.49 inference(monotonicity,[status(thm)],[30140])).
% 26.18/17.49 tff(30142,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0))),
% 26.18/17.49 inference(transitivity,[status(thm)],[30141, 30139])).
% 26.18/17.49 tff(30143,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | ((~nextState(constB190, constB191)) | (~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30144,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex0)) | v94(VarNext) | v84(VarNext, bitIndex0))) | (~v84(constB190, bitIndex0)) | (~nextState(constB190, constB191)) | v94(constB191) | v84(constB191, bitIndex0)),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30143, 30142])).
% 26.18/17.49 tff(30145,plain,
% 26.18/17.49 ((~v84(constB190, bitIndex0)) | v94(constB191) | v84(constB191, bitIndex0)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30144, 595, 30061])).
% 26.18/17.49 tff(30146,plain,
% 26.18/17.49 ((~v84(constB190, bitIndex0)) | v84(constB191, bitIndex0)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30145, 30073])).
% 26.18/17.49 tff(30147,plain,
% 26.18/17.49 (v84(constB191, bitIndex0)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30146, 30138])).
% 26.18/17.49 tff(30148,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB191, bitIndex0)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex2)) | v118(constB191))) <=> ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB191, bitIndex0)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex2)) | v118(constB191))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30149,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB191, bitIndex0)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex2)) | v118(constB191))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30150,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB191, bitIndex0)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex2)) | v118(constB191)),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30149, 30148])).
% 26.18/17.49 tff(30151,plain,
% 26.18/17.49 (v118(constB191)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30150, 1677, 30147, 30116, 30082])).
% 26.18/17.49 tff(30152,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v118(constB191)))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v118(constB191)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30153,plain,
% 26.18/17.49 (((~v118(constB191)) | v108(constB191)) <=> (v108(constB191) | (~v118(constB191)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30154,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | (v108(constB191) | (~v118(constB191))))),
% 26.18/17.49 inference(monotonicity,[status(thm)],[30153])).
% 26.18/17.49 tff(30155,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB191)) | v108(constB191))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v118(constB191)))),
% 26.18/17.49 inference(transitivity,[status(thm)],[30154, 30152])).
% 26.18/17.49 tff(30156,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | ((~v118(constB191)) | v108(constB191))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30157,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v108(VarCurr))) | v108(constB191) | (~v118(constB191))),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30156, 30155])).
% 26.18/17.49 tff(30158,plain,
% 26.18/17.49 (v108(constB191)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30157, 1688, 30151])).
% 26.18/17.49 tff(30159,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB191) | (~v108(constB191)))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB191) | (~v108(constB191)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30160,plain,
% 26.18/17.49 (((~v108(constB191)) | v107(constB191)) <=> (v107(constB191) | (~v108(constB191)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30161,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB191)) | v107(constB191))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | (v107(constB191) | (~v108(constB191))))),
% 26.18/17.49 inference(monotonicity,[status(thm)],[30160])).
% 26.18/17.49 tff(30162,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB191)) | v107(constB191))) <=> ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB191) | (~v108(constB191)))),
% 26.18/17.49 inference(transitivity,[status(thm)],[30161, 30159])).
% 26.18/17.49 tff(30163,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | ((~v108(constB191)) | v107(constB191))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30164,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v108(VarCurr)) | v107(VarCurr))) | v107(constB191) | (~v108(constB191))),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30163, 30162])).
% 26.18/17.49 tff(30165,plain,
% 26.18/17.49 (v107(constB191)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30164, 249, 30158])).
% 26.18/17.49 tff(30166,assumption,(v26(constB191)), introduced(assumption)).
% 26.18/17.49 tff(30167,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : (~v26(VarCurr))) | (~v26(constB191))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30168,plain,
% 26.18/17.49 ($false),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30167, 18, 30166])).
% 26.18/17.49 tff(30169,plain,(~v26(constB191)), inference(lemma,lemma(discharge,[]))).
% 26.18/17.49 tff(30170,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB191) | (~v107(constB191)) | v106(constB191))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB191) | (~v107(constB191)) | v106(constB191))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30171,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB191) | (~v107(constB191)) | v106(constB191))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30172,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB191) | (~v107(constB191)) | v106(constB191)),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30171, 30170])).
% 26.18/17.49 tff(30173,plain,
% 26.18/17.49 ((~v107(constB191)) | v106(constB191)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30172, 263, 30169])).
% 26.18/17.49 tff(30174,plain,
% 26.18/17.49 (v106(constB191)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30173, 30165])).
% 26.18/17.49 tff(30175,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB191) | (~v106(constB191)))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB191) | (~v106(constB191)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30176,plain,
% 26.18/17.49 (((~v106(constB191)) | v102(constB191)) <=> (v102(constB191) | (~v106(constB191)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30177,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB191)) | v102(constB191))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | (v102(constB191) | (~v106(constB191))))),
% 26.18/17.49 inference(monotonicity,[status(thm)],[30176])).
% 26.18/17.49 tff(30178,plain,
% 26.18/17.49 (((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB191)) | v102(constB191))) <=> ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB191) | (~v106(constB191)))),
% 26.18/17.49 inference(transitivity,[status(thm)],[30177, 30175])).
% 26.18/17.49 tff(30179,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | ((~v106(constB191)) | v102(constB191))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30180,plain,
% 26.18/17.49 ((~![VarCurr: state_type] : ((~v106(VarCurr)) | v102(VarCurr))) | v102(constB191) | (~v106(constB191))),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30179, 30178])).
% 26.18/17.49 tff(30181,plain,
% 26.18/17.49 (v102(constB191)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30180, 275, 30174])).
% 26.18/17.49 tff(30182,plain,
% 26.18/17.49 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30183,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_191_1')).
% 26.18/17.49 tff(30184,plain,
% 26.18/17.49 (nextState(constB191, constB192)),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30183, 30182])).
% 26.18/17.49 tff(30185,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30186,plain,
% 26.18/17.49 (((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192)) <=> ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30187,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191))))),
% 26.18/17.49 inference(monotonicity,[status(thm)],[30186])).
% 26.18/17.49 tff(30188,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191)))),
% 26.18/17.49 inference(transitivity,[status(thm)],[30187, 30185])).
% 26.18/17.49 tff(30189,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB191, constB192)) | (~v102(constB191)) | v104(constB192))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30190,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB191, constB192)) | v104(constB192) | (~v102(constB191))),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30189, 30188])).
% 26.18/17.49 tff(30191,plain,
% 26.18/17.49 (v104(constB192) | (~v102(constB191))),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30190, 295, 30184])).
% 26.18/17.49 tff(30192,plain,
% 26.18/17.49 (v104(constB192)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30191, 30181])).
% 26.18/17.49 tff(30193,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30194,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192)))),
% 26.18/17.49 inference(quant_inst,[status(thm)],[])).
% 26.18/17.49 tff(30195,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB191) | (~nextState(constB191, constB192)) | (~v98(constB192))),
% 26.18/17.49 inference(modus_ponens,[status(thm)],[30194, 30193])).
% 26.18/17.49 tff(30196,plain,
% 26.18/17.49 (~v98(constB192)),
% 26.18/17.49 inference(unit_resolution,[status(thm)],[30195, 313, 30184, 30058])).
% 26.18/17.49 tff(30197,plain,
% 26.18/17.49 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))),
% 26.18/17.49 inference(rewrite,[status(thm)],[])).
% 26.18/17.49 tff(30198,plain,
% 26.18/17.49 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB191, constB192)) | v96(constB192) | v98(constB192))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30199,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB191, constB192)) | v96(constB192) | v98(constB192)),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30198, 30197])).
% 26.18/17.50 tff(30200,plain,
% 26.18/17.50 (v96(constB192) | v98(constB192)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30199, 327, 30184])).
% 26.18/17.50 tff(30201,plain,
% 26.18/17.50 (v96(constB192)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30200, 30196])).
% 26.18/17.50 tff(30202,plain,
% 26.18/17.50 (v1(constB192) <=> v1(constB192)),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30203,axiom,(v1(constB192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_192_1')).
% 26.18/17.50 tff(30204,plain,
% 26.18/17.50 (v1(constB192)),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30203, 30202])).
% 26.18/17.50 tff(30205,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30206,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192)))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30207,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB191, constB192)) | v95(constB192) | (~v96(constB192)) | (~v1(constB192))),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30206, 30205])).
% 26.18/17.50 tff(30208,plain,
% 26.18/17.50 (v95(constB192) | (~v96(constB192))),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30207, 345, 30184, 30204])).
% 26.18/17.50 tff(30209,plain,
% 26.18/17.50 (v95(constB192)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30208, 30201])).
% 26.18/17.50 tff(30210,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30211,plain,
% 26.18/17.50 (((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192)) <=> ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30212,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192))))),
% 26.18/17.50 inference(monotonicity,[status(thm)],[30211])).
% 26.18/17.50 tff(30213,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192)))),
% 26.18/17.50 inference(transitivity,[status(thm)],[30212, 30210])).
% 26.18/17.50 tff(30214,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB191, constB192)) | (~v95(constB192)) | (~v104(constB192)) | v94(constB192))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30215,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB191, constB192)) | v94(constB192) | (~v95(constB192)) | (~v104(constB192))),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30214, 30213])).
% 26.18/17.50 tff(30216,plain,
% 26.18/17.50 (v94(constB192) | (~v95(constB192)) | (~v104(constB192))),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30215, 360, 30184])).
% 26.18/17.50 tff(30217,plain,
% 26.18/17.50 (v94(constB192) | (~v104(constB192))),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30216, 30209])).
% 26.18/17.50 tff(30218,plain,
% 26.18/17.50 (v94(constB192)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30217, 30192])).
% 26.18/17.50 tff(30219,plain,
% 26.18/17.50 (((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB191)) | v124(constB191, bitIndex1))) <=> ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB191)) | v124(constB191, bitIndex1))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30220,plain,
% 26.18/17.50 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | ((~v118(constB191)) | v124(constB191, bitIndex1))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30221,plain,
% 26.18/17.50 ((~![VarCurr: state_type] : ((~v118(VarCurr)) | v124(VarCurr, bitIndex1))) | (~v118(constB191)) | v124(constB191, bitIndex1)),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30220, 30219])).
% 26.18/17.50 tff(30222,plain,
% 26.18/17.50 (v124(constB191, bitIndex1)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30221, 1817, 30151])).
% 26.18/17.50 tff(30223,plain,
% 26.18/17.50 (((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB191) | (~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1))) <=> ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB191) | (~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30224,plain,
% 26.18/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | (v26(constB191) | (~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30225,plain,
% 26.18/17.50 ((~![VarCurr: state_type] : (v26(VarCurr) | (~v124(VarCurr, bitIndex1)) | v121(VarCurr, bitIndex1))) | v26(constB191) | (~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1)),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30224, 30223])).
% 26.18/17.50 tff(30226,plain,
% 26.18/17.50 ((~v124(constB191, bitIndex1)) | v121(constB191, bitIndex1)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30225, 812, 30169])).
% 26.18/17.50 tff(30227,plain,
% 26.18/17.50 (v121(constB191, bitIndex1)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30226, 30222])).
% 26.18/17.50 tff(30228,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30229,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | ((~nextState(constB191, constB192)) | (~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30230,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v121(VarCurr, bitIndex1)) | v123(VarNext, bitIndex1))) | (~nextState(constB191, constB192)) | (~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1)),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30229, 30228])).
% 26.18/17.50 tff(30231,plain,
% 26.18/17.50 ((~v121(constB191, bitIndex1)) | v123(constB192, bitIndex1)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30230, 827, 30184])).
% 26.18/17.50 tff(30232,plain,
% 26.18/17.50 (v123(constB192, bitIndex1)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30231, 30227])).
% 26.18/17.50 tff(30233,plain,
% 26.18/17.50 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30234,plain,
% 26.18/17.50 ((v84(constB192, bitIndex1) | (~v94(constB192)) | (~v123(constB192, bitIndex1))) <=> (v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30235,plain,
% 26.18/17.50 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v94(constB192)) | (~v123(constB192, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192))))),
% 26.18/17.50 inference(monotonicity,[status(thm)],[30234])).
% 26.18/17.50 tff(30236,plain,
% 26.18/17.50 (((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v94(constB192)) | (~v123(constB192, bitIndex1)))) <=> ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192)))),
% 26.18/17.50 inference(transitivity,[status(thm)],[30235, 30233])).
% 26.18/17.50 tff(30237,plain,
% 26.18/17.50 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | (v84(constB192, bitIndex1) | (~v94(constB192)) | (~v123(constB192, bitIndex1)))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30238,plain,
% 26.18/17.50 ((~![VarNext: state_type] : (v84(VarNext, bitIndex1) | (~v94(VarNext)) | (~v123(VarNext, bitIndex1)))) | v84(constB192, bitIndex1) | (~v123(constB192, bitIndex1)) | (~v94(constB192))),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30237, 30236])).
% 26.18/17.50 tff(30239,plain,
% 26.18/17.50 (v84(constB192, bitIndex1) | (~v94(constB192))),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30238, 842, 30232])).
% 26.18/17.50 tff(30240,plain,
% 26.18/17.50 (v84(constB192, bitIndex1)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30239, 30218])).
% 26.18/17.50 tff(30241,plain,
% 26.18/17.50 ((~v1(constB193)) <=> (~v1(constB193))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30242,axiom,(~v1(constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_193_1_1')).
% 26.18/17.50 tff(30243,plain,
% 26.18/17.50 (~v1(constB193)),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30242, 30241])).
% 26.18/17.50 tff(30244,plain,
% 26.18/17.50 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30245,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_192_1')).
% 26.18/17.50 tff(30246,plain,
% 26.18/17.50 (nextState(constB192, constB193)),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30245, 30244])).
% 26.18/17.50 tff(30247,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30248,plain,
% 26.18/17.50 (((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193)) <=> (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30249,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193))))),
% 26.18/17.50 inference(monotonicity,[status(thm)],[30248])).
% 26.18/17.50 tff(30250,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193)))),
% 26.18/17.50 inference(transitivity,[status(thm)],[30249, 30247])).
% 26.18/17.50 tff(30251,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB192, constB193)) | (~v95(constB193)) | v1(constB193))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30252,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB193) | (~nextState(constB192, constB193)) | (~v95(constB193))),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30251, 30250])).
% 26.18/17.50 tff(30253,plain,
% 26.18/17.50 (~v95(constB193)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30252, 73, 30246, 30243])).
% 26.18/17.50 tff(30254,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30255,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193)))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30256,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB192, constB193)) | v95(constB193) | (~v94(constB193))),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30255, 30254])).
% 26.18/17.50 tff(30257,plain,
% 26.18/17.50 (v95(constB193) | (~v94(constB193))),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30256, 90, 30246])).
% 26.18/17.50 tff(30258,plain,
% 26.18/17.50 (~v94(constB193)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30257, 30253])).
% 26.18/17.50 tff(30259,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30260,plain,
% 26.18/17.50 (((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1)) <=> ((~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30261,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1)))),
% 26.18/17.50 inference(monotonicity,[status(thm)],[30260])).
% 26.18/17.50 tff(30262,plain,
% 26.18/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1))),
% 26.18/17.50 inference(transitivity,[status(thm)],[30261, 30259])).
% 26.18/17.50 tff(30263,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | ((~nextState(constB192, constB193)) | (~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30264,plain,
% 26.18/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | (~v84(VarCurr, bitIndex1)) | v94(VarNext) | v84(VarNext, bitIndex1))) | (~v84(constB192, bitIndex1)) | (~nextState(constB192, constB193)) | v94(constB193) | v84(constB193, bitIndex1)),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30263, 30262])).
% 26.18/17.50 tff(30265,plain,
% 26.18/17.50 ((~v84(constB192, bitIndex1)) | v94(constB193) | v84(constB193, bitIndex1)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30264, 860, 30246])).
% 26.18/17.50 tff(30266,plain,
% 26.18/17.50 ((~v84(constB192, bitIndex1)) | v84(constB193, bitIndex1)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30265, 30258])).
% 26.18/17.50 tff(30267,plain,
% 26.18/17.50 (v84(constB193, bitIndex1)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30266, 30240])).
% 26.18/17.50 tff(30268,plain,
% 26.18/17.50 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB193)) | (~v84(constB193, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB193)) | (~v84(constB193, bitIndex1)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30269,plain,
% 26.18/17.50 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB193)) | (~v84(constB193, bitIndex1)))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30270,plain,
% 26.18/17.50 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB193)) | (~v84(constB193, bitIndex1))),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30269, 30268])).
% 26.18/17.50 tff(30271,plain,
% 26.18/17.50 (~v145(constB193)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30270, 2018, 30267])).
% 26.18/17.50 tff(30272,plain,
% 26.18/17.50 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB193) | (~v144(constB193)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB193) | (~v144(constB193)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30273,plain,
% 26.18/17.50 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB193) | (~v144(constB193)))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.18/17.50 tff(30274,plain,
% 26.18/17.50 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB193) | (~v144(constB193))),
% 26.18/17.50 inference(modus_ponens,[status(thm)],[30273, 30272])).
% 26.18/17.50 tff(30275,plain,
% 26.18/17.50 (~v144(constB193)),
% 26.18/17.50 inference(unit_resolution,[status(thm)],[30274, 2971, 30271])).
% 26.18/17.50 tff(30276,plain,
% 26.18/17.50 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB193) | (~v142(constB193)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB193) | (~v142(constB193)))),
% 26.18/17.50 inference(rewrite,[status(thm)],[])).
% 26.18/17.50 tff(30277,plain,
% 26.18/17.50 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB193) | (~v142(constB193)))),
% 26.18/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30278,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB193) | (~v142(constB193))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30277, 30276])).
% 26.19/17.50 tff(30279,plain,
% 26.19/17.50 (~v142(constB193)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30278, 2985, 30275])).
% 26.19/17.50 tff(30280,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB191)) | (~v84(constB191, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB191)) | (~v84(constB191, bitIndex2)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30281,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB191)) | (~v84(constB191, bitIndex2)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30282,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB191)) | (~v84(constB191, bitIndex2))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30281, 30280])).
% 26.19/17.50 tff(30283,plain,
% 26.19/17.50 (~v145(constB191)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30282, 16179, 30082])).
% 26.19/17.50 tff(30284,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB191) | (~v144(constB191)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB191) | (~v144(constB191)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30285,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB191) | (~v144(constB191)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30286,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB191) | (~v144(constB191))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30285, 30284])).
% 26.19/17.50 tff(30287,plain,
% 26.19/17.50 (~v144(constB191)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30286, 2971, 30283])).
% 26.19/17.50 tff(30288,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB191) | (~v142(constB191)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB191) | (~v142(constB191)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30289,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB191) | (~v142(constB191)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30290,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB191) | (~v142(constB191))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30289, 30288])).
% 26.19/17.50 tff(30291,plain,
% 26.19/17.50 (~v142(constB191)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30290, 2985, 30287])).
% 26.19/17.50 tff(30292,assumption,(v18(constB192)), introduced(assumption)).
% 26.19/17.50 tff(30293,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB192))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30294,plain,
% 26.19/17.50 ($false),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30293, 3012, 30292])).
% 26.19/17.50 tff(30295,plain,(~v18(constB192)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.50 tff(30296,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30297,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB192) | (~v1(constB192)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30298,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB192) | (~v1(constB192))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30297, 30296])).
% 26.19/17.50 tff(30299,plain,
% 26.19/17.50 (v22(constB192)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30298, 3028, 30204])).
% 26.19/17.50 tff(30300,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB192) | (~v22(constB192)) | (~v19(constB192)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB192) | (~v22(constB192)) | (~v19(constB192)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30301,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB192) | (~v22(constB192)) | (~v19(constB192)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30302,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB192) | (~v22(constB192)) | (~v19(constB192))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30301, 30300])).
% 26.19/17.50 tff(30303,plain,
% 26.19/17.50 (v18(constB192) | (~v19(constB192))),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30302, 3042, 30299])).
% 26.19/17.50 tff(30304,plain,
% 26.19/17.50 (~v19(constB192)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30303, 30295])).
% 26.19/17.50 tff(30305,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30306,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB192) | v19(constB192))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30307,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB192) | v19(constB192)),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30306, 30305])).
% 26.19/17.50 tff(30308,plain,
% 26.19/17.50 (v13(constB192)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30307, 3054, 30304])).
% 26.19/17.50 tff(30309,plain,
% 26.19/17.50 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30310,plain,
% 26.19/17.50 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30311,plain,
% 26.19/17.50 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB191) | (~v13(constB192)) | (~nextState(constB191, constB192))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30310, 30309])).
% 26.19/17.50 tff(30312,plain,
% 26.19/17.50 (v9(constB191) | (~v13(constB192))),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30311, 3068, 30184])).
% 26.19/17.50 tff(30313,plain,
% 26.19/17.50 (v9(constB191)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30312, 30308])).
% 26.19/17.50 tff(30314,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v141(constB191))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB191) | (~v9(constB191)) | v141(constB191))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30315,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB191) | (~v9(constB191)) | v141(constB191))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30316,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB191) | (~v9(constB191)) | v141(constB191)),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30315, 30314])).
% 26.19/17.50 tff(30317,plain,
% 26.19/17.50 ((~v9(constB191)) | v141(constB191)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30316, 3083, 30058])).
% 26.19/17.50 tff(30318,plain,
% 26.19/17.50 (v141(constB191)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30317, 30313])).
% 26.19/17.50 tff(30319,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB191)) | v140(constB191))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB191)) | v140(constB191))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30320,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB191)) | v140(constB191))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30321,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB191)) | v140(constB191)),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30320, 30319])).
% 26.19/17.50 tff(30322,plain,
% 26.19/17.50 (v140(constB191)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30321, 24165, 30318])).
% 26.19/17.50 tff(30323,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB191)) | (~v140(constB191)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB191)) | (~v140(constB191)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30324,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB191)) | (~v140(constB191)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30325,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB191)) | (~v140(constB191))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 26.19/17.50 tff(30326,plain,
% 26.19/17.50 (~v138(constB191)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30325, 24221, 30322])).
% 26.19/17.50 tff(30327,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB191) | v142(constB191) | (~v135(constB191)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB191) | v142(constB191) | (~v135(constB191)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30328,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB191) | v142(constB191) | (~v135(constB191)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30329,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB191) | v142(constB191) | (~v135(constB191))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30328, 30327])).
% 26.19/17.50 tff(30330,plain,
% 26.19/17.50 (v142(constB191) | (~v135(constB191))),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30329, 24247, 30326])).
% 26.19/17.50 tff(30331,plain,
% 26.19/17.50 (~v135(constB191)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30330, 30291])).
% 26.19/17.50 tff(30332,plain,
% 26.19/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30333,plain,
% 26.19/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30334,plain,
% 26.19/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB191, constB192)) | v135(constB191) | (~v137(constB192))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30333, 30332])).
% 26.19/17.50 tff(30335,plain,
% 26.19/17.50 (v135(constB191) | (~v137(constB192))),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30334, 24262, 30184])).
% 26.19/17.50 tff(30336,plain,
% 26.19/17.50 (~v137(constB192)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30335, 30331])).
% 26.19/17.50 tff(30337,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB192) | (~v138(constB192)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB192) | (~v138(constB192)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30338,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB192) | (~v138(constB192)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30339,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB192) | (~v138(constB192))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30338, 30337])).
% 26.19/17.50 tff(30340,plain,
% 26.19/17.50 (~v138(constB192)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30339, 24277, 30336])).
% 26.19/17.50 tff(30341,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB192)) | (~v141(constB192)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB192)) | (~v141(constB192)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30342,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB192)) | (~v141(constB192)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30343,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB192)) | (~v141(constB192))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30342, 30341])).
% 26.19/17.50 tff(30344,plain,
% 26.19/17.50 (~v141(constB192)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30343, 24291, 30204])).
% 26.19/17.50 tff(30345,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB192) | (~v144(constB192)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB192) | (~v144(constB192)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30346,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB192) | (~v144(constB192)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30347,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB192) | (~v144(constB192))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30346, 30345])).
% 26.19/17.50 tff(30348,plain,
% 26.19/17.50 (~v144(constB192)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30347, 24305, 30344])).
% 26.19/17.50 tff(30349,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB192) | (~v142(constB192)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB192) | (~v142(constB192)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30350,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB192) | (~v142(constB192)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30351,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB192) | (~v142(constB192))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30350, 30349])).
% 26.19/17.50 tff(30352,plain,
% 26.19/17.50 (~v142(constB192)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30351, 2985, 30348])).
% 26.19/17.50 tff(30353,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB192) | v142(constB192) | (~v135(constB192)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB192) | v142(constB192) | (~v135(constB192)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30354,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB192) | v142(constB192) | (~v135(constB192)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30355,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB192) | v142(constB192) | (~v135(constB192))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30354, 30353])).
% 26.19/17.50 tff(30356,plain,
% 26.19/17.50 (v138(constB192) | (~v135(constB192))),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30355, 24247, 30352])).
% 26.19/17.50 tff(30357,plain,
% 26.19/17.50 (~v135(constB192)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30356, 30340])).
% 26.19/17.50 tff(30358,plain,
% 26.19/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30359,plain,
% 26.19/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30360,plain,
% 26.19/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB192, constB193)) | v135(constB192) | (~v137(constB193))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30359, 30358])).
% 26.19/17.50 tff(30361,plain,
% 26.19/17.50 (v135(constB192) | (~v137(constB193))),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30360, 24262, 30246])).
% 26.19/17.50 tff(30362,plain,
% 26.19/17.50 (~v137(constB193)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30361, 30357])).
% 26.19/17.50 tff(30363,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB193) | (~v138(constB193)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB193) | (~v138(constB193)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30364,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB193) | (~v138(constB193)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30365,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB193) | (~v138(constB193))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30364, 30363])).
% 26.19/17.50 tff(30366,plain,
% 26.19/17.50 (~v138(constB193)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30365, 24277, 30362])).
% 26.19/17.50 tff(30367,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB193) | v142(constB193) | (~v135(constB193)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB193) | v142(constB193) | (~v135(constB193)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30368,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB193) | v142(constB193) | (~v135(constB193)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30369,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB193) | v142(constB193) | (~v135(constB193))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30368, 30367])).
% 26.19/17.50 tff(30370,plain,
% 26.19/17.50 (v142(constB193) | (~v135(constB193))),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30369, 24247, 30366])).
% 26.19/17.50 tff(30371,plain,
% 26.19/17.50 (~v135(constB193)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30370, 30279])).
% 26.19/17.50 tff(30372,plain,
% 26.19/17.50 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30373,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_193_1')).
% 26.19/17.50 tff(30374,plain,
% 26.19/17.50 (nextState(constB193, constB194)),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30373, 30372])).
% 26.19/17.50 tff(30375,plain,
% 26.19/17.50 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30376,plain,
% 26.19/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30377,plain,
% 26.19/17.50 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB193, constB194)) | v135(constB193) | (~v137(constB194))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30376, 30375])).
% 26.19/17.50 tff(30378,plain,
% 26.19/17.50 (v135(constB193) | (~v137(constB194))),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30377, 24262, 30374])).
% 26.19/17.50 tff(30379,plain,
% 26.19/17.50 (~v137(constB194)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30378, 30371])).
% 26.19/17.50 tff(30380,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB194) | (~v138(constB194)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB194) | (~v138(constB194)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30381,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB194) | (~v138(constB194)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30382,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB194) | (~v138(constB194))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30381, 30380])).
% 26.19/17.50 tff(30383,plain,
% 26.19/17.50 (~v138(constB194)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30382, 24277, 30379])).
% 26.19/17.50 tff(30384,plain,
% 26.19/17.50 (v1(constB194) <=> v1(constB194)),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30385,axiom,(v1(constB194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_194_1')).
% 26.19/17.50 tff(30386,plain,
% 26.19/17.50 (v1(constB194)),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30385, 30384])).
% 26.19/17.50 tff(30387,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB194)) | (~v141(constB194)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB194)) | (~v141(constB194)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30388,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB194)) | (~v141(constB194)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30389,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB194)) | (~v141(constB194))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30388, 30387])).
% 26.19/17.50 tff(30390,plain,
% 26.19/17.50 (~v141(constB194)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30389, 24291, 30386])).
% 26.19/17.50 tff(30391,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB194) | (~v144(constB194)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB194) | (~v144(constB194)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30392,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB194) | (~v144(constB194)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30393,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB194) | (~v144(constB194))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30392, 30391])).
% 26.19/17.50 tff(30394,plain,
% 26.19/17.50 (~v144(constB194)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30393, 24305, 30390])).
% 26.19/17.50 tff(30395,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB194) | (~v142(constB194)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB194) | (~v142(constB194)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30396,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB194) | (~v142(constB194)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30397,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB194) | (~v142(constB194))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30396, 30395])).
% 26.19/17.50 tff(30398,plain,
% 26.19/17.50 (~v142(constB194)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30397, 2985, 30394])).
% 26.19/17.50 tff(30399,plain,
% 26.19/17.50 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB194) | v142(constB194) | (~v135(constB194)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB194) | v142(constB194) | (~v135(constB194)))),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30400,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB194) | v142(constB194) | (~v135(constB194)))),
% 26.19/17.50 inference(quant_inst,[status(thm)],[])).
% 26.19/17.50 tff(30401,plain,
% 26.19/17.50 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB194) | v142(constB194) | (~v135(constB194))),
% 26.19/17.50 inference(modus_ponens,[status(thm)],[30400, 30399])).
% 26.19/17.50 tff(30402,plain,
% 26.19/17.50 (v138(constB194) | (~v135(constB194))),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30401, 24247, 30398])).
% 26.19/17.50 tff(30403,plain,
% 26.19/17.50 (~v135(constB194)),
% 26.19/17.50 inference(unit_resolution,[status(thm)],[30402, 30383])).
% 26.19/17.50 tff(30404,plain,
% 26.19/17.50 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 26.19/17.50 inference(rewrite,[status(thm)],[])).
% 26.19/17.50 tff(30405,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_194_1')).
% 26.19/17.51 tff(30406,plain,
% 26.19/17.51 (nextState(constB194, constB195)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30405, 30404])).
% 26.19/17.51 tff(30407,plain,
% 26.19/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30408,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30409,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB194, constB195)) | v135(constB194) | (~v137(constB195))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30408, 30407])).
% 26.19/17.51 tff(30410,plain,
% 26.19/17.51 (v135(constB194) | (~v137(constB195))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30409, 24262, 30406])).
% 26.19/17.51 tff(30411,plain,
% 26.19/17.51 (~v137(constB195)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30410, 30403])).
% 26.19/17.51 tff(30412,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB195) | (~v153(constB195)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB195) | (~v153(constB195)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30413,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB195) | (~v153(constB195)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30414,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB195) | (~v153(constB195))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30413, 30412])).
% 26.19/17.51 tff(30415,plain,
% 26.19/17.51 (~v153(constB195)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30414, 24437, 30411])).
% 26.19/17.51 tff(30416,assumption,(v18(constB196)), introduced(assumption)).
% 26.19/17.51 tff(30417,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB196))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30418,plain,
% 26.19/17.51 ($false),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30417, 3012, 30416])).
% 26.19/17.51 tff(30419,plain,(~v18(constB196)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.51 tff(30420,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30421,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB196) | (~v1(constB196)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30422,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB196) | (~v1(constB196))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30421, 30420])).
% 26.19/17.51 tff(30423,plain,
% 26.19/17.51 (v22(constB196)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30422, 3028, 28606])).
% 26.19/17.51 tff(30424,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB196) | (~v22(constB196)) | (~v19(constB196)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB196) | (~v22(constB196)) | (~v19(constB196)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30425,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB196) | (~v22(constB196)) | (~v19(constB196)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30426,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB196) | (~v22(constB196)) | (~v19(constB196))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30425, 30424])).
% 26.19/17.51 tff(30427,plain,
% 26.19/17.51 (v18(constB196) | (~v19(constB196))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30426, 3042, 30423])).
% 26.19/17.51 tff(30428,plain,
% 26.19/17.51 (~v19(constB196)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30427, 30419])).
% 26.19/17.51 tff(30429,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30430,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB196) | v19(constB196))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30431,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB196) | v19(constB196)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30430, 30429])).
% 26.19/17.51 tff(30432,plain,
% 26.19/17.51 (v13(constB196)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30431, 3054, 30428])).
% 26.19/17.51 tff(30433,plain,
% 26.19/17.51 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30434,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_195_1')).
% 26.19/17.51 tff(30435,plain,
% 26.19/17.51 (nextState(constB195, constB196)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30434, 30433])).
% 26.19/17.51 tff(30436,plain,
% 26.19/17.51 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30437,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30438,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB195) | (~v13(constB196)) | (~nextState(constB195, constB196))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30437, 30436])).
% 26.19/17.51 tff(30439,plain,
% 26.19/17.51 (v9(constB195) | (~v13(constB196))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30438, 3068, 30435])).
% 26.19/17.51 tff(30440,plain,
% 26.19/17.51 (v9(constB195)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30439, 30432])).
% 26.19/17.51 tff(30441,plain,
% 26.19/17.51 ((~v1(constB195)) <=> (~v1(constB195))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30442,axiom,(~v1(constB195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_195_1_1')).
% 26.19/17.51 tff(30443,plain,
% 26.19/17.51 (~v1(constB195)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30442, 30441])).
% 26.19/17.51 tff(30444,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v141(constB195))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB195) | (~v9(constB195)) | v141(constB195))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30445,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB195) | (~v9(constB195)) | v141(constB195))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30446,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB195) | (~v9(constB195)) | v141(constB195)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30445, 30444])).
% 26.19/17.51 tff(30447,plain,
% 26.19/17.51 ((~v9(constB195)) | v141(constB195)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30446, 3083, 30443])).
% 26.19/17.51 tff(30448,plain,
% 26.19/17.51 (v141(constB195)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30447, 30440])).
% 26.19/17.51 tff(30449,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB195) | (~v141(constB195)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB195) | (~v141(constB195)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30450,plain,
% 26.19/17.51 (((~v141(constB195)) | v140(constB195)) <=> (v140(constB195) | (~v141(constB195)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30451,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB195)) | v140(constB195))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB195) | (~v141(constB195))))),
% 26.19/17.51 inference(monotonicity,[status(thm)],[30450])).
% 26.19/17.51 tff(30452,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB195)) | v140(constB195))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB195) | (~v141(constB195)))),
% 26.19/17.51 inference(transitivity,[status(thm)],[30451, 30449])).
% 26.19/17.51 tff(30453,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB195)) | v140(constB195))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30454,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB195) | (~v141(constB195))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30453, 30452])).
% 26.19/17.51 tff(30455,plain,
% 26.19/17.51 (v140(constB195)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30454, 24165, 30448])).
% 26.19/17.51 tff(30456,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB195)) | (~v155(constB195)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB195)) | (~v155(constB195)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30457,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB195)) | (~v155(constB195)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30458,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB195)) | (~v155(constB195))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30457, 30456])).
% 26.19/17.51 tff(30459,plain,
% 26.19/17.51 (~v155(constB195)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30458, 24482, 30455])).
% 26.19/17.51 tff(30460,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB195) | v155(constB195) | (~v150(constB195)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB195) | v155(constB195) | (~v150(constB195)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30461,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB195) | v155(constB195) | (~v150(constB195)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30462,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB195) | v155(constB195) | (~v150(constB195))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30461, 30460])).
% 26.19/17.51 tff(30463,plain,
% 26.19/17.51 (v153(constB195) | (~v150(constB195))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30462, 24496, 30459])).
% 26.19/17.51 tff(30464,plain,
% 26.19/17.51 (~v150(constB195)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30463, 30415])).
% 26.19/17.51 tff(30465,plain,
% 26.19/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30466,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30467,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB195, constB196)) | v150(constB195) | (~v152(constB196))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30466, 30465])).
% 26.19/17.51 tff(30468,plain,
% 26.19/17.51 (v150(constB195) | (~v152(constB196))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30467, 24511, 30435])).
% 26.19/17.51 tff(30469,plain,
% 26.19/17.51 (~v152(constB196)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30468, 30464])).
% 26.19/17.51 tff(30470,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB196) | (~v155(constB196)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB196) | (~v155(constB196)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30471,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB196) | (~v155(constB196)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30472,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB196) | (~v155(constB196))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30471, 30470])).
% 26.19/17.51 tff(30473,plain,
% 26.19/17.51 (~v155(constB196)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30472, 24526, 30469])).
% 26.19/17.51 tff(30474,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB196)) | (~v141(constB196)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB196)) | (~v141(constB196)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30475,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB196)) | (~v141(constB196)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30476,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB196)) | (~v141(constB196))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30475, 30474])).
% 26.19/17.51 tff(30477,plain,
% 26.19/17.51 (~v141(constB196)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30476, 24291, 28606])).
% 26.19/17.51 tff(30478,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB196) | (~v154(constB196)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB196) | (~v154(constB196)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30479,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB196) | (~v154(constB196)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30480,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB196) | (~v154(constB196))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30479, 30478])).
% 26.19/17.51 tff(30481,plain,
% 26.19/17.51 (~v154(constB196)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30480, 24544, 30477])).
% 26.19/17.51 tff(30482,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB196) | (~v153(constB196)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB196) | (~v153(constB196)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30483,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB196) | (~v153(constB196)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30484,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB196) | (~v153(constB196))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30483, 30482])).
% 26.19/17.51 tff(30485,plain,
% 26.19/17.51 (~v153(constB196)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30484, 24558, 30481])).
% 26.19/17.51 tff(30486,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB196) | v155(constB196) | (~v150(constB196)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB196) | v155(constB196) | (~v150(constB196)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30487,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB196) | v155(constB196) | (~v150(constB196)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30488,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB196) | v155(constB196) | (~v150(constB196))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30487, 30486])).
% 26.19/17.51 tff(30489,plain,
% 26.19/17.51 (v155(constB196) | (~v150(constB196))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30488, 24496, 30485])).
% 26.19/17.51 tff(30490,plain,
% 26.19/17.51 (~v150(constB196)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30489, 30473])).
% 26.19/17.51 tff(30491,plain,
% 26.19/17.51 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30492,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_196_1')).
% 26.19/17.51 tff(30493,plain,
% 26.19/17.51 (nextState(constB196, constB197)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30492, 30491])).
% 26.19/17.51 tff(30494,plain,
% 26.19/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30495,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30496,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB196, constB197)) | v150(constB196) | (~v152(constB197))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30495, 30494])).
% 26.19/17.51 tff(30497,plain,
% 26.19/17.51 (v150(constB196) | (~v152(constB197))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30496, 24511, 30493])).
% 26.19/17.51 tff(30498,plain,
% 26.19/17.51 (~v152(constB197)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30497, 30490])).
% 26.19/17.51 tff(30499,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB197) | (~v164(constB197)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB197) | (~v164(constB197)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30500,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB197) | (~v164(constB197)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30501,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB197) | (~v164(constB197))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30500, 30499])).
% 26.19/17.51 tff(30502,plain,
% 26.19/17.51 (~v164(constB197)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30501, 24674, 30498])).
% 26.19/17.51 tff(30503,assumption,(v18(constB198)), introduced(assumption)).
% 26.19/17.51 tff(30504,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB198))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30505,plain,
% 26.19/17.51 ($false),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30504, 3012, 30503])).
% 26.19/17.51 tff(30506,plain,(~v18(constB198)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.51 tff(30507,plain,
% 26.19/17.51 (v1(constB198) <=> v1(constB198)),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30508,axiom,(v1(constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_198_1')).
% 26.19/17.51 tff(30509,plain,
% 26.19/17.51 (v1(constB198)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30508, 30507])).
% 26.19/17.51 tff(30510,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30511,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB198) | (~v1(constB198)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30512,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB198) | (~v1(constB198))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30511, 30510])).
% 26.19/17.51 tff(30513,plain,
% 26.19/17.51 (v22(constB198)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30512, 3028, 30509])).
% 26.19/17.51 tff(30514,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB198) | (~v22(constB198)) | (~v19(constB198)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB198) | (~v22(constB198)) | (~v19(constB198)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30515,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB198) | (~v22(constB198)) | (~v19(constB198)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30516,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB198) | (~v22(constB198)) | (~v19(constB198))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30515, 30514])).
% 26.19/17.51 tff(30517,plain,
% 26.19/17.51 (v18(constB198) | (~v19(constB198))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30516, 3042, 30513])).
% 26.19/17.51 tff(30518,plain,
% 26.19/17.51 (~v19(constB198)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30517, 30506])).
% 26.19/17.51 tff(30519,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30520,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB198) | v19(constB198))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30521,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB198) | v19(constB198)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30520, 30519])).
% 26.19/17.51 tff(30522,plain,
% 26.19/17.51 (v13(constB198)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30521, 3054, 30518])).
% 26.19/17.51 tff(30523,plain,
% 26.19/17.51 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30524,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_197_1')).
% 26.19/17.51 tff(30525,plain,
% 26.19/17.51 (nextState(constB197, constB198)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30524, 30523])).
% 26.19/17.51 tff(30526,plain,
% 26.19/17.51 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30527,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30528,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB197) | (~v13(constB198)) | (~nextState(constB197, constB198))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30527, 30526])).
% 26.19/17.51 tff(30529,plain,
% 26.19/17.51 (v9(constB197) | (~v13(constB198))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30528, 3068, 30525])).
% 26.19/17.51 tff(30530,plain,
% 26.19/17.51 (v9(constB197)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30529, 30522])).
% 26.19/17.51 tff(30531,plain,
% 26.19/17.51 ((~v1(constB197)) <=> (~v1(constB197))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30532,axiom,(~v1(constB197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_197_1_1')).
% 26.19/17.51 tff(30533,plain,
% 26.19/17.51 (~v1(constB197)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30532, 30531])).
% 26.19/17.51 tff(30534,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v141(constB197))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB197) | (~v9(constB197)) | v141(constB197))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30535,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB197) | (~v9(constB197)) | v141(constB197))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30536,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB197) | (~v9(constB197)) | v141(constB197)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30535, 30534])).
% 26.19/17.51 tff(30537,plain,
% 26.19/17.51 ((~v9(constB197)) | v141(constB197)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30536, 3083, 30533])).
% 26.19/17.51 tff(30538,plain,
% 26.19/17.51 (v141(constB197)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30537, 30530])).
% 26.19/17.51 tff(30539,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB197) | (~v141(constB197)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB197) | (~v141(constB197)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30540,plain,
% 26.19/17.51 (((~v141(constB197)) | v140(constB197)) <=> (v140(constB197) | (~v141(constB197)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30541,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB197)) | v140(constB197))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB197) | (~v141(constB197))))),
% 26.19/17.51 inference(monotonicity,[status(thm)],[30540])).
% 26.19/17.51 tff(30542,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB197)) | v140(constB197))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB197) | (~v141(constB197)))),
% 26.19/17.51 inference(transitivity,[status(thm)],[30541, 30539])).
% 26.19/17.51 tff(30543,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB197)) | v140(constB197))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30544,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB197) | (~v141(constB197))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30543, 30542])).
% 26.19/17.51 tff(30545,plain,
% 26.19/17.51 (v140(constB197)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30544, 24165, 30538])).
% 26.19/17.51 tff(30546,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB197)) | (~v163(constB197)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB197)) | (~v163(constB197)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30547,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB197)) | (~v163(constB197)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30548,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB197)) | (~v163(constB197))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30547, 30546])).
% 26.19/17.51 tff(30549,plain,
% 26.19/17.51 (~v163(constB197)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30548, 24179, 30545])).
% 26.19/17.51 tff(30550,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB197) | v164(constB197) | (~v160(constB197)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB197) | v164(constB197) | (~v160(constB197)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30551,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB197) | v164(constB197) | (~v160(constB197)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30552,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB197) | v164(constB197) | (~v160(constB197))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30551, 30550])).
% 26.19/17.51 tff(30553,plain,
% 26.19/17.51 (v164(constB197) | (~v160(constB197))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30552, 24688, 30549])).
% 26.19/17.51 tff(30554,plain,
% 26.19/17.51 (~v160(constB197)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30553, 30502])).
% 26.19/17.51 tff(30555,plain,
% 26.19/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30556,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30557,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB197, constB198)) | v160(constB197) | (~v162(constB198))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30556, 30555])).
% 26.19/17.51 tff(30558,plain,
% 26.19/17.51 (v160(constB197) | (~v162(constB198))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30557, 24703, 30525])).
% 26.19/17.51 tff(30559,plain,
% 26.19/17.51 (~v162(constB198)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30558, 30554])).
% 26.19/17.51 tff(30560,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB198) | (~v163(constB198)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB198) | (~v163(constB198)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30561,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB198) | (~v163(constB198)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30562,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB198) | (~v163(constB198))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30561, 30560])).
% 26.19/17.51 tff(30563,plain,
% 26.19/17.51 (~v163(constB198)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30562, 24718, 30559])).
% 26.19/17.51 tff(30564,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB198)) | (~v141(constB198)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB198)) | (~v141(constB198)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30565,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB198)) | (~v141(constB198)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30566,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB198)) | (~v141(constB198))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30565, 30564])).
% 26.19/17.51 tff(30567,plain,
% 26.19/17.51 (~v141(constB198)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30566, 24291, 30509])).
% 26.19/17.51 tff(30568,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB198) | (~v154(constB198)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB198) | (~v154(constB198)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30569,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB198) | (~v154(constB198)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30570,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB198) | (~v154(constB198))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30569, 30568])).
% 26.19/17.51 tff(30571,plain,
% 26.19/17.51 (~v154(constB198)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30570, 24544, 30567])).
% 26.19/17.51 tff(30572,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB198) | (~v164(constB198)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB198) | (~v164(constB198)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30573,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB198) | (~v164(constB198)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30574,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB198) | (~v164(constB198))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30573, 30572])).
% 26.19/17.51 tff(30575,plain,
% 26.19/17.51 (~v164(constB198)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30574, 24740, 30571])).
% 26.19/17.51 tff(30576,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB198) | v164(constB198) | (~v160(constB198)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB198) | v164(constB198) | (~v160(constB198)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30577,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB198) | v164(constB198) | (~v160(constB198)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30578,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB198) | v164(constB198) | (~v160(constB198))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30577, 30576])).
% 26.19/17.51 tff(30579,plain,
% 26.19/17.51 (v163(constB198) | (~v160(constB198))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30578, 24688, 30575])).
% 26.19/17.51 tff(30580,plain,
% 26.19/17.51 (~v160(constB198)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30579, 30563])).
% 26.19/17.51 tff(30581,plain,
% 26.19/17.51 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30582,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_198_1')).
% 26.19/17.51 tff(30583,plain,
% 26.19/17.51 (nextState(constB198, constB199)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30582, 30581])).
% 26.19/17.51 tff(30584,plain,
% 26.19/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30585,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30586,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB198, constB199)) | v160(constB198) | (~v162(constB199))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30585, 30584])).
% 26.19/17.51 tff(30587,plain,
% 26.19/17.51 (v160(constB198) | (~v162(constB199))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30586, 24703, 30583])).
% 26.19/17.51 tff(30588,plain,
% 26.19/17.51 (~v162(constB199)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30587, 30580])).
% 26.19/17.51 tff(30589,plain,
% 26.19/17.51 ($false),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30588, 29917])).
% 26.19/17.51 tff(30590,plain,(~(constB199 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.51 tff(30591,assumption,(constB160 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.51 tff(30592,plain,
% 26.19/17.51 (v1(constB160) <=> v1(sK0_VarCurr)),
% 26.19/17.51 inference(monotonicity,[status(thm)],[30591])).
% 26.19/17.51 tff(30593,plain,
% 26.19/17.51 (v1(sK0_VarCurr) <=> v1(constB160)),
% 26.19/17.51 inference(symmetry,[status(thm)],[30592])).
% 26.19/17.51 tff(30594,plain,
% 26.19/17.51 ((~v1(sK0_VarCurr)) <=> (~v1(constB160))),
% 26.19/17.51 inference(monotonicity,[status(thm)],[30593])).
% 26.19/17.51 tff(30595,plain,
% 26.19/17.51 (~v1(constB160)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[25472, 30594])).
% 26.19/17.51 tff(30596,plain,
% 26.19/17.51 ($false),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[19385, 30595])).
% 26.19/17.51 tff(30597,plain,(~(constB160 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.51 tff(30598,assumption,(constB78 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.51 tff(30599,plain,
% 26.19/17.51 (v1(constB78) <=> v1(sK0_VarCurr)),
% 26.19/17.51 inference(monotonicity,[status(thm)],[30598])).
% 26.19/17.51 tff(30600,plain,
% 26.19/17.51 (v1(sK0_VarCurr) <=> v1(constB78)),
% 26.19/17.51 inference(symmetry,[status(thm)],[30599])).
% 26.19/17.51 tff(30601,plain,
% 26.19/17.51 ((~v1(sK0_VarCurr)) <=> (~v1(constB78))),
% 26.19/17.51 inference(monotonicity,[status(thm)],[30600])).
% 26.19/17.51 tff(30602,plain,
% 26.19/17.51 (~v1(constB78)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[25472, 30601])).
% 26.19/17.51 tff(30603,plain,
% 26.19/17.51 ($false),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[9212, 30602])).
% 26.19/17.51 tff(30604,plain,(~(constB78 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.51 tff(30605,assumption,(constB31 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.51 tff(30606,plain,
% 26.19/17.51 (v162(constB31) <=> v162(sK0_VarCurr)),
% 26.19/17.51 inference(monotonicity,[status(thm)],[30605])).
% 26.19/17.51 tff(30607,plain,
% 26.19/17.51 (v162(sK0_VarCurr) <=> v162(constB31)),
% 26.19/17.51 inference(symmetry,[status(thm)],[30606])).
% 26.19/17.51 tff(30608,plain,
% 26.19/17.51 (v162(constB31)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[24130, 30607])).
% 26.19/17.51 tff(30609,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB25) | (~v144(constB25)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB25) | (~v144(constB25)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30610,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB25) | (~v144(constB25)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30611,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB25) | (~v144(constB25))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30610, 30609])).
% 26.19/17.51 tff(30612,plain,
% 26.19/17.51 (~v144(constB25)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30611, 2971, 3591])).
% 26.19/17.51 tff(30613,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB25) | (~v142(constB25)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB25) | (~v142(constB25)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30614,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB25) | (~v142(constB25)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30615,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB25) | (~v142(constB25))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30614, 30613])).
% 26.19/17.51 tff(30616,plain,
% 26.19/17.51 (~v142(constB25)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30615, 2985, 30612])).
% 26.19/17.51 tff(30617,assumption,(v18(constB26)), introduced(assumption)).
% 26.19/17.51 tff(30618,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB26))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30619,plain,
% 26.19/17.51 ($false),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30618, 3012, 30617])).
% 26.19/17.51 tff(30620,plain,(~v18(constB26)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.51 tff(30621,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30622,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB26) | (~v1(constB26)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30623,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB26) | (~v1(constB26))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30622, 30621])).
% 26.19/17.51 tff(30624,plain,
% 26.19/17.51 (v22(constB26)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30623, 3028, 3553])).
% 26.19/17.51 tff(30625,plain,
% 26.19/17.51 (((~![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)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30626,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB26) | (~v22(constB26)) | (~v19(constB26)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30627,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB26) | (~v22(constB26)) | (~v19(constB26))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30626, 30625])).
% 26.19/17.51 tff(30628,plain,
% 26.19/17.51 (v18(constB26) | (~v19(constB26))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30627, 3042, 30624])).
% 26.19/17.51 tff(30629,plain,
% 26.19/17.51 (~v19(constB26)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30628, 30620])).
% 26.19/17.51 tff(30630,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30631,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB26) | v19(constB26))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30632,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB26) | v19(constB26)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30631, 30630])).
% 26.19/17.51 tff(30633,plain,
% 26.19/17.51 (v13(constB26)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30632, 3054, 30629])).
% 26.19/17.51 tff(30634,plain,
% 26.19/17.51 (((~![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)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30635,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30636,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB25) | (~v13(constB26)) | (~nextState(constB25, constB26))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30635, 30634])).
% 26.19/17.51 tff(30637,plain,
% 26.19/17.51 (v9(constB25) | (~v13(constB26))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30636, 3068, 3533])).
% 26.19/17.51 tff(30638,plain,
% 26.19/17.51 (v9(constB25)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30637, 30633])).
% 26.19/17.51 tff(30639,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v141(constB25))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB25) | (~v9(constB25)) | v141(constB25))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30640,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB25) | (~v9(constB25)) | v141(constB25))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30641,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB25) | (~v9(constB25)) | v141(constB25)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30640, 30639])).
% 26.19/17.51 tff(30642,plain,
% 26.19/17.51 ((~v9(constB25)) | v141(constB25)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30641, 3083, 3417])).
% 26.19/17.51 tff(30643,plain,
% 26.19/17.51 (v141(constB25)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30642, 30638])).
% 26.19/17.51 tff(30644,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB25)) | v140(constB25))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB25)) | v140(constB25))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30645,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB25)) | v140(constB25))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30646,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB25)) | v140(constB25)),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30645, 30644])).
% 26.19/17.51 tff(30647,plain,
% 26.19/17.51 (v140(constB25)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30646, 24165, 30643])).
% 26.19/17.51 tff(30648,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB25)) | (~v140(constB25)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB25)) | (~v140(constB25)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30649,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB25)) | (~v140(constB25)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30650,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB25)) | (~v140(constB25))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30649, 30648])).
% 26.19/17.51 tff(30651,plain,
% 26.19/17.51 (~v138(constB25)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30650, 24221, 30647])).
% 26.19/17.51 tff(30652,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB25) | v142(constB25) | (~v135(constB25)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB25) | v142(constB25) | (~v135(constB25)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30653,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB25) | v142(constB25) | (~v135(constB25)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30654,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB25) | v142(constB25) | (~v135(constB25))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30653, 30652])).
% 26.19/17.51 tff(30655,plain,
% 26.19/17.51 (v142(constB25) | (~v135(constB25))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30654, 24247, 30651])).
% 26.19/17.51 tff(30656,plain,
% 26.19/17.51 (~v135(constB25)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30655, 30616])).
% 26.19/17.51 tff(30657,plain,
% 26.19/17.51 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30658,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30659,plain,
% 26.19/17.51 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB25, constB26)) | v135(constB25) | (~v137(constB26))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30658, 30657])).
% 26.19/17.51 tff(30660,plain,
% 26.19/17.51 (v135(constB25) | (~v137(constB26))),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30659, 24262, 3533])).
% 26.19/17.51 tff(30661,plain,
% 26.19/17.51 (~v137(constB26)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30660, 30656])).
% 26.19/17.51 tff(30662,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB26) | (~v138(constB26)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB26) | (~v138(constB26)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30663,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB26) | (~v138(constB26)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30664,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB26) | (~v138(constB26))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30663, 30662])).
% 26.19/17.51 tff(30665,plain,
% 26.19/17.51 (~v138(constB26)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30664, 24277, 30661])).
% 26.19/17.51 tff(30666,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB26)) | (~v141(constB26)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB26)) | (~v141(constB26)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30667,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB26)) | (~v141(constB26)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30668,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB26)) | (~v141(constB26))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30667, 30666])).
% 26.19/17.51 tff(30669,plain,
% 26.19/17.51 (~v141(constB26)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30668, 24291, 3553])).
% 26.19/17.51 tff(30670,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB26) | (~v144(constB26)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB26) | (~v144(constB26)))),
% 26.19/17.51 inference(rewrite,[status(thm)],[])).
% 26.19/17.51 tff(30671,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB26) | (~v144(constB26)))),
% 26.19/17.51 inference(quant_inst,[status(thm)],[])).
% 26.19/17.51 tff(30672,plain,
% 26.19/17.51 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB26) | (~v144(constB26))),
% 26.19/17.51 inference(modus_ponens,[status(thm)],[30671, 30670])).
% 26.19/17.51 tff(30673,plain,
% 26.19/17.51 (~v144(constB26)),
% 26.19/17.51 inference(unit_resolution,[status(thm)],[30672, 24305, 30669])).
% 26.19/17.51 tff(30674,plain,
% 26.19/17.51 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB26) | (~v142(constB26)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB26) | (~v142(constB26)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30675,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB26) | (~v142(constB26)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30676,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB26) | (~v142(constB26))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30675, 30674])).
% 26.19/17.52 tff(30677,plain,
% 26.19/17.52 (~v142(constB26)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30676, 2985, 30673])).
% 26.19/17.52 tff(30678,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB26) | v142(constB26) | (~v135(constB26)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB26) | v142(constB26) | (~v135(constB26)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30679,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB26) | v142(constB26) | (~v135(constB26)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30680,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB26) | v142(constB26) | (~v135(constB26))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30679, 30678])).
% 26.19/17.52 tff(30681,plain,
% 26.19/17.52 (v138(constB26) | (~v135(constB26))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30680, 24247, 30677])).
% 26.19/17.52 tff(30682,plain,
% 26.19/17.52 (~v135(constB26)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30681, 30665])).
% 26.19/17.52 tff(30683,plain,
% 26.19/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30684,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30685,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB26, constB27)) | v135(constB26) | (~v137(constB27))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30684, 30683])).
% 26.19/17.52 tff(30686,plain,
% 26.19/17.52 (v135(constB26) | (~v137(constB27))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30685, 24262, 3622])).
% 26.19/17.52 tff(30687,plain,
% 26.19/17.52 (~v137(constB27)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30686, 30682])).
% 26.19/17.52 tff(30688,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB27) | (~v153(constB27)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB27) | (~v153(constB27)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30689,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB27) | (~v153(constB27)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30690,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB27) | (~v153(constB27))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30689, 30688])).
% 26.19/17.52 tff(30691,plain,
% 26.19/17.52 (~v153(constB27)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30690, 24437, 30687])).
% 26.19/17.52 tff(30692,assumption,(v18(constB28)), introduced(assumption)).
% 26.19/17.52 tff(30693,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB28))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30694,plain,
% 26.19/17.52 ($false),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30693, 3012, 30692])).
% 26.19/17.52 tff(30695,plain,(~v18(constB28)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.52 tff(30696,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30697,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB28) | (~v1(constB28)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30698,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB28) | (~v1(constB28))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30697, 30696])).
% 26.19/17.52 tff(30699,plain,
% 26.19/17.52 (v22(constB28)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30698, 3028, 3783])).
% 26.19/17.52 tff(30700,plain,
% 26.19/17.52 (((~![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)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30701,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB28) | (~v22(constB28)) | (~v19(constB28)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30702,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB28) | (~v22(constB28)) | (~v19(constB28))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30701, 30700])).
% 26.19/17.52 tff(30703,plain,
% 26.19/17.52 (v18(constB28) | (~v19(constB28))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30702, 3042, 30699])).
% 26.19/17.52 tff(30704,plain,
% 26.19/17.52 (~v19(constB28)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30703, 30695])).
% 26.19/17.52 tff(30705,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30706,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB28) | v19(constB28))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30707,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB28) | v19(constB28)),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30706, 30705])).
% 26.19/17.52 tff(30708,plain,
% 26.19/17.52 (v13(constB28)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30707, 3054, 30704])).
% 26.19/17.52 tff(30709,plain,
% 26.19/17.52 (((~![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)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30710,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30711,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB27) | (~v13(constB28)) | (~nextState(constB27, constB28))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30710, 30709])).
% 26.19/17.52 tff(30712,plain,
% 26.19/17.52 (v9(constB27) | (~v13(constB28))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30711, 3068, 3763])).
% 26.19/17.52 tff(30713,plain,
% 26.19/17.52 (v9(constB27)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30712, 30708])).
% 26.19/17.52 tff(30714,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v141(constB27))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB27) | (~v9(constB27)) | v141(constB27))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30715,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB27) | (~v9(constB27)) | v141(constB27))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30716,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB27) | (~v9(constB27)) | v141(constB27)),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30715, 30714])).
% 26.19/17.52 tff(30717,plain,
% 26.19/17.52 ((~v9(constB27)) | v141(constB27)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30716, 3083, 3619])).
% 26.19/17.52 tff(30718,plain,
% 26.19/17.52 (v141(constB27)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30717, 30713])).
% 26.19/17.52 tff(30719,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB27)) | v140(constB27))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB27)) | v140(constB27))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30720,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB27)) | v140(constB27))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30721,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB27)) | v140(constB27)),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30720, 30719])).
% 26.19/17.52 tff(30722,plain,
% 26.19/17.52 (v140(constB27)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30721, 24165, 30718])).
% 26.19/17.52 tff(30723,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB27)) | (~v155(constB27)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB27)) | (~v155(constB27)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30724,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB27)) | (~v155(constB27)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30725,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB27)) | (~v155(constB27))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30724, 30723])).
% 26.19/17.52 tff(30726,plain,
% 26.19/17.52 (~v155(constB27)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30725, 24482, 30722])).
% 26.19/17.52 tff(30727,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB27) | v155(constB27) | (~v150(constB27)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB27) | v155(constB27) | (~v150(constB27)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30728,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB27) | v155(constB27) | (~v150(constB27)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30729,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB27) | v155(constB27) | (~v150(constB27))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30728, 30727])).
% 26.19/17.52 tff(30730,plain,
% 26.19/17.52 (v153(constB27) | (~v150(constB27))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30729, 24496, 30726])).
% 26.19/17.52 tff(30731,plain,
% 26.19/17.52 (~v150(constB27)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30730, 30691])).
% 26.19/17.52 tff(30732,plain,
% 26.19/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30733,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30734,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB27, constB28)) | v150(constB27) | (~v152(constB28))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30733, 30732])).
% 26.19/17.52 tff(30735,plain,
% 26.19/17.52 (v150(constB27) | (~v152(constB28))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30734, 24511, 3763])).
% 26.19/17.52 tff(30736,plain,
% 26.19/17.52 (~v152(constB28)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30735, 30731])).
% 26.19/17.52 tff(30737,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB28) | (~v155(constB28)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB28) | (~v155(constB28)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30738,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB28) | (~v155(constB28)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30739,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB28) | (~v155(constB28))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30738, 30737])).
% 26.19/17.52 tff(30740,plain,
% 26.19/17.52 (~v155(constB28)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30739, 24526, 30736])).
% 26.19/17.52 tff(30741,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB28)) | (~v141(constB28)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB28)) | (~v141(constB28)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30742,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB28)) | (~v141(constB28)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30743,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB28)) | (~v141(constB28))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30742, 30741])).
% 26.19/17.52 tff(30744,plain,
% 26.19/17.52 (~v141(constB28)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30743, 24291, 3783])).
% 26.19/17.52 tff(30745,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB28) | (~v154(constB28)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB28) | (~v154(constB28)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30746,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB28) | (~v154(constB28)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30747,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB28) | (~v154(constB28))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30746, 30745])).
% 26.19/17.52 tff(30748,plain,
% 26.19/17.52 (~v154(constB28)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30747, 24544, 30744])).
% 26.19/17.52 tff(30749,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB28) | (~v153(constB28)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB28) | (~v153(constB28)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30750,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB28) | (~v153(constB28)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30751,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB28) | (~v153(constB28))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30750, 30749])).
% 26.19/17.52 tff(30752,plain,
% 26.19/17.52 (~v153(constB28)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30751, 24558, 30748])).
% 26.19/17.52 tff(30753,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB28) | v155(constB28) | (~v150(constB28)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB28) | v155(constB28) | (~v150(constB28)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30754,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB28) | v155(constB28) | (~v150(constB28)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30755,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB28) | v155(constB28) | (~v150(constB28))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30754, 30753])).
% 26.19/17.52 tff(30756,plain,
% 26.19/17.52 (v155(constB28) | (~v150(constB28))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30755, 24496, 30752])).
% 26.19/17.52 tff(30757,plain,
% 26.19/17.52 (~v150(constB28)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30756, 30740])).
% 26.19/17.52 tff(30758,plain,
% 26.19/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30759,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30760,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB28, constB29)) | v150(constB28) | (~v152(constB29))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30759, 30758])).
% 26.19/17.52 tff(30761,plain,
% 26.19/17.52 (v150(constB28) | (~v152(constB29))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30760, 24511, 3825])).
% 26.19/17.52 tff(30762,plain,
% 26.19/17.52 (~v152(constB29)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30761, 30757])).
% 26.19/17.52 tff(30763,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB29) | (~v164(constB29)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB29) | (~v164(constB29)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30764,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB29) | (~v164(constB29)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30765,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB29) | (~v164(constB29))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30764, 30763])).
% 26.19/17.52 tff(30766,plain,
% 26.19/17.52 (~v164(constB29)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30765, 24674, 30762])).
% 26.19/17.52 tff(30767,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB29)) | (~v163(constB29)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB29)) | (~v163(constB29)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30768,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB29)) | (~v163(constB29)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30769,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB29)) | (~v163(constB29))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30768, 30767])).
% 26.19/17.52 tff(30770,plain,
% 26.19/17.52 (~v163(constB29)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30769, 24179, 25838])).
% 26.19/17.52 tff(30771,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB29) | v164(constB29) | (~v160(constB29)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB29) | v164(constB29) | (~v160(constB29)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30772,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB29) | v164(constB29) | (~v160(constB29)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30773,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB29) | v164(constB29) | (~v160(constB29))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30772, 30771])).
% 26.19/17.52 tff(30774,plain,
% 26.19/17.52 (v164(constB29) | (~v160(constB29))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30773, 24688, 30770])).
% 26.19/17.52 tff(30775,plain,
% 26.19/17.52 (~v160(constB29)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30774, 30766])).
% 26.19/17.52 tff(30776,plain,
% 26.19/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30777,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30778,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB29, constB30)) | v160(constB29) | (~v162(constB30))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30777, 30776])).
% 26.19/17.52 tff(30779,plain,
% 26.19/17.52 (v160(constB29) | (~v162(constB30))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30778, 24703, 3962])).
% 26.19/17.52 tff(30780,plain,
% 26.19/17.52 (~v162(constB30)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30779, 30775])).
% 26.19/17.52 tff(30781,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB30) | (~v163(constB30)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB30) | (~v163(constB30)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30782,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB30) | (~v163(constB30)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30783,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB30) | (~v163(constB30))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30782, 30781])).
% 26.19/17.52 tff(30784,plain,
% 26.19/17.52 (~v163(constB30)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30783, 24718, 30780])).
% 26.19/17.52 tff(30785,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB30) | (~v154(constB30)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB30) | (~v154(constB30)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30786,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB30) | (~v154(constB30)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30787,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB30) | (~v154(constB30))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30786, 30785])).
% 26.19/17.52 tff(30788,plain,
% 26.19/17.52 (~v154(constB30)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30787, 24544, 25860])).
% 26.19/17.52 tff(30789,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB30) | (~v164(constB30)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB30) | (~v164(constB30)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30790,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB30) | (~v164(constB30)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30791,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB30) | (~v164(constB30))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30790, 30789])).
% 26.19/17.52 tff(30792,plain,
% 26.19/17.52 (~v164(constB30)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30791, 24740, 30788])).
% 26.19/17.52 tff(30793,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB30) | v164(constB30) | (~v160(constB30)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB30) | v164(constB30) | (~v160(constB30)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30794,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB30) | v164(constB30) | (~v160(constB30)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30795,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB30) | v164(constB30) | (~v160(constB30))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30794, 30793])).
% 26.19/17.52 tff(30796,plain,
% 26.19/17.52 (v163(constB30) | (~v160(constB30))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30795, 24688, 30792])).
% 26.19/17.52 tff(30797,plain,
% 26.19/17.52 (~v160(constB30)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30796, 30784])).
% 26.19/17.52 tff(30798,plain,
% 26.19/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30799,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30800,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB30, constB31)) | v160(constB30) | (~v162(constB31))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30799, 30798])).
% 26.19/17.52 tff(30801,plain,
% 26.19/17.52 (v160(constB30) | (~v162(constB31))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30800, 24703, 4030])).
% 26.19/17.52 tff(30802,plain,
% 26.19/17.52 (~v162(constB31)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30801, 30797])).
% 26.19/17.52 tff(30803,plain,
% 26.19/17.52 ($false),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30802, 30608])).
% 26.19/17.52 tff(30804,plain,(~(constB31 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.52 tff(30805,assumption,(constB111 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.52 tff(30806,plain,
% 26.19/17.52 (v162(constB111) <=> v162(sK0_VarCurr)),
% 26.19/17.52 inference(monotonicity,[status(thm)],[30805])).
% 26.19/17.52 tff(30807,plain,
% 26.19/17.52 (v162(sK0_VarCurr) <=> v162(constB111)),
% 26.19/17.52 inference(symmetry,[status(thm)],[30806])).
% 26.19/17.52 tff(30808,plain,
% 26.19/17.52 (v162(constB111)),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[24130, 30807])).
% 26.19/17.52 tff(30809,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB105)) | (~v84(constB105, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB105)) | (~v84(constB105, bitIndex2)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30810,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB105)) | (~v84(constB105, bitIndex2)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30811,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB105)) | (~v84(constB105, bitIndex2))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30810, 30809])).
% 26.19/17.52 tff(30812,plain,
% 26.19/17.52 (~v145(constB105)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30811, 16179, 12156])).
% 26.19/17.52 tff(30813,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB105) | (~v144(constB105)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB105) | (~v144(constB105)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30814,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB105) | (~v144(constB105)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30815,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB105) | (~v144(constB105))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30814, 30813])).
% 26.19/17.52 tff(30816,plain,
% 26.19/17.52 (~v144(constB105)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30815, 2971, 30812])).
% 26.19/17.52 tff(30817,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB105) | (~v142(constB105)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB105) | (~v142(constB105)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30818,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB105) | (~v142(constB105)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30819,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB105) | (~v142(constB105))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30818, 30817])).
% 26.19/17.52 tff(30820,plain,
% 26.19/17.52 (~v142(constB105)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30819, 2985, 30816])).
% 26.19/17.52 tff(30821,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB103)) | (~v84(constB103, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB103)) | (~v84(constB103, bitIndex1)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30822,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB103)) | (~v84(constB103, bitIndex1)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30823,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB103)) | (~v84(constB103, bitIndex1))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30822, 30821])).
% 26.19/17.52 tff(30824,plain,
% 26.19/17.52 (~v145(constB103)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30823, 2018, 11997])).
% 26.19/17.52 tff(30825,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB103) | (~v144(constB103)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB103) | (~v144(constB103)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30826,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB103) | (~v144(constB103)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30827,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB103) | (~v144(constB103))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30826, 30825])).
% 26.19/17.52 tff(30828,plain,
% 26.19/17.52 (~v144(constB103)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30827, 2971, 30824])).
% 26.19/17.52 tff(30829,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB103) | (~v142(constB103)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB103) | (~v142(constB103)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30830,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB103) | (~v142(constB103)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30831,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB103) | (~v142(constB103))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30830, 30829])).
% 26.19/17.52 tff(30832,plain,
% 26.19/17.52 (~v142(constB103)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30831, 2985, 30828])).
% 26.19/17.52 tff(30833,assumption,(v18(constB104)), introduced(assumption)).
% 26.19/17.52 tff(30834,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB104))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30835,plain,
% 26.19/17.52 ($false),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30834, 3012, 30833])).
% 26.19/17.52 tff(30836,plain,(~v18(constB104)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.52 tff(30837,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30838,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB104) | (~v1(constB104)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30839,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB104) | (~v1(constB104))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30838, 30837])).
% 26.19/17.52 tff(30840,plain,
% 26.19/17.52 (v22(constB104)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30839, 3028, 12093])).
% 26.19/17.52 tff(30841,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30842,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB104) | (~v22(constB104)) | (~v19(constB104)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30843,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB104) | (~v22(constB104)) | (~v19(constB104))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30842, 30841])).
% 26.19/17.52 tff(30844,plain,
% 26.19/17.52 (v18(constB104) | (~v19(constB104))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30843, 3042, 30840])).
% 26.19/17.52 tff(30845,plain,
% 26.19/17.52 (~v19(constB104)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30844, 30836])).
% 26.19/17.52 tff(30846,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30847,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB104) | v19(constB104))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30848,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB104) | v19(constB104)),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30847, 30846])).
% 26.19/17.52 tff(30849,plain,
% 26.19/17.52 (v13(constB104)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30848, 3054, 30845])).
% 26.19/17.52 tff(30850,plain,
% 26.19/17.52 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30851,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30852,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB103) | (~v13(constB104)) | (~nextState(constB103, constB104))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30851, 30850])).
% 26.19/17.52 tff(30853,plain,
% 26.19/17.52 (v9(constB103) | (~v13(constB104))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30852, 3068, 12073])).
% 26.19/17.52 tff(30854,plain,
% 26.19/17.52 (v9(constB103)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30853, 30849])).
% 26.19/17.52 tff(30855,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v141(constB103))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB103) | (~v9(constB103)) | v141(constB103))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30856,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB103) | (~v9(constB103)) | v141(constB103))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30857,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB103) | (~v9(constB103)) | v141(constB103)),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30856, 30855])).
% 26.19/17.52 tff(30858,plain,
% 26.19/17.52 ((~v9(constB103)) | v141(constB103)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30857, 3083, 11942])).
% 26.19/17.52 tff(30859,plain,
% 26.19/17.52 (v141(constB103)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30858, 30854])).
% 26.19/17.52 tff(30860,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB103)) | v140(constB103))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB103)) | v140(constB103))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30861,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB103)) | v140(constB103))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30862,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB103)) | v140(constB103)),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30861, 30860])).
% 26.19/17.52 tff(30863,plain,
% 26.19/17.52 (v140(constB103)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30862, 24165, 30859])).
% 26.19/17.52 tff(30864,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB103)) | (~v140(constB103)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB103)) | (~v140(constB103)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30865,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB103)) | (~v140(constB103)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30866,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB103)) | (~v140(constB103))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30865, 30864])).
% 26.19/17.52 tff(30867,plain,
% 26.19/17.52 (~v138(constB103)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30866, 24221, 30863])).
% 26.19/17.52 tff(30868,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB103) | v142(constB103) | (~v135(constB103)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB103) | v142(constB103) | (~v135(constB103)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30869,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB103) | v142(constB103) | (~v135(constB103)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30870,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB103) | v142(constB103) | (~v135(constB103))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30869, 30868])).
% 26.19/17.52 tff(30871,plain,
% 26.19/17.52 (v142(constB103) | (~v135(constB103))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30870, 24247, 30867])).
% 26.19/17.52 tff(30872,plain,
% 26.19/17.52 (~v135(constB103)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30871, 30832])).
% 26.19/17.52 tff(30873,plain,
% 26.19/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30874,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30875,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB103, constB104)) | v135(constB103) | (~v137(constB104))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30874, 30873])).
% 26.19/17.52 tff(30876,plain,
% 26.19/17.52 (v135(constB103) | (~v137(constB104))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30875, 24262, 12073])).
% 26.19/17.52 tff(30877,plain,
% 26.19/17.52 (~v137(constB104)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30876, 30872])).
% 26.19/17.52 tff(30878,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB104) | (~v138(constB104)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB104) | (~v138(constB104)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30879,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB104) | (~v138(constB104)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30880,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB104) | (~v138(constB104))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30879, 30878])).
% 26.19/17.52 tff(30881,plain,
% 26.19/17.52 (~v138(constB104)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30880, 24277, 30877])).
% 26.19/17.52 tff(30882,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB104)) | (~v141(constB104)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB104)) | (~v141(constB104)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30883,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB104)) | (~v141(constB104)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30884,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB104)) | (~v141(constB104))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30883, 30882])).
% 26.19/17.52 tff(30885,plain,
% 26.19/17.52 (~v141(constB104)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30884, 24291, 12093])).
% 26.19/17.52 tff(30886,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB104) | (~v144(constB104)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB104) | (~v144(constB104)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30887,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB104) | (~v144(constB104)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30888,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB104) | (~v144(constB104))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30887, 30886])).
% 26.19/17.52 tff(30889,plain,
% 26.19/17.52 (~v144(constB104)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30888, 24305, 30885])).
% 26.19/17.52 tff(30890,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB104) | (~v142(constB104)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB104) | (~v142(constB104)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30891,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB104) | (~v142(constB104)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30892,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB104) | (~v142(constB104))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30891, 30890])).
% 26.19/17.52 tff(30893,plain,
% 26.19/17.52 (~v142(constB104)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30892, 2985, 30889])).
% 26.19/17.52 tff(30894,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB104) | v142(constB104) | (~v135(constB104)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB104) | v142(constB104) | (~v135(constB104)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30895,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB104) | v142(constB104) | (~v135(constB104)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30896,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB104) | v142(constB104) | (~v135(constB104))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30895, 30894])).
% 26.19/17.52 tff(30897,plain,
% 26.19/17.52 (v138(constB104) | (~v135(constB104))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30896, 24247, 30893])).
% 26.19/17.52 tff(30898,plain,
% 26.19/17.52 (~v135(constB104)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30897, 30881])).
% 26.19/17.52 tff(30899,plain,
% 26.19/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30900,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30901,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB104, constB105)) | v135(constB104) | (~v137(constB105))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30900, 30899])).
% 26.19/17.52 tff(30902,plain,
% 26.19/17.52 (v135(constB104) | (~v137(constB105))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30901, 24262, 12135])).
% 26.19/17.52 tff(30903,plain,
% 26.19/17.52 (~v137(constB105)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30902, 30898])).
% 26.19/17.52 tff(30904,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB105) | (~v138(constB105)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB105) | (~v138(constB105)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30905,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB105) | (~v138(constB105)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30906,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB105) | (~v138(constB105))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30905, 30904])).
% 26.19/17.52 tff(30907,plain,
% 26.19/17.52 (~v138(constB105)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30906, 24277, 30903])).
% 26.19/17.52 tff(30908,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB105) | v142(constB105) | (~v135(constB105)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB105) | v142(constB105) | (~v135(constB105)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30909,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB105) | v142(constB105) | (~v135(constB105)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30910,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB105) | v142(constB105) | (~v135(constB105))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30909, 30908])).
% 26.19/17.52 tff(30911,plain,
% 26.19/17.52 (v142(constB105) | (~v135(constB105))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30910, 24247, 30907])).
% 26.19/17.52 tff(30912,plain,
% 26.19/17.52 (~v135(constB105)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30911, 30820])).
% 26.19/17.52 tff(30913,plain,
% 26.19/17.52 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30914,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30915,plain,
% 26.19/17.52 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB105, constB106)) | v135(constB105) | (~v137(constB106))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30914, 30913])).
% 26.19/17.52 tff(30916,plain,
% 26.19/17.52 (v135(constB105) | (~v137(constB106))),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30915, 24262, 12268])).
% 26.19/17.52 tff(30917,plain,
% 26.19/17.52 (~v137(constB106)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30916, 30912])).
% 26.19/17.52 tff(30918,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB106) | (~v138(constB106)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB106) | (~v138(constB106)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30919,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB106) | (~v138(constB106)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30920,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB106) | (~v138(constB106))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30919, 30918])).
% 26.19/17.52 tff(30921,plain,
% 26.19/17.52 (~v138(constB106)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30920, 24277, 30917])).
% 26.19/17.52 tff(30922,plain,
% 26.19/17.52 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB106)) | (~v141(constB106)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB106)) | (~v141(constB106)))),
% 26.19/17.52 inference(rewrite,[status(thm)],[])).
% 26.19/17.52 tff(30923,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB106)) | (~v141(constB106)))),
% 26.19/17.52 inference(quant_inst,[status(thm)],[])).
% 26.19/17.52 tff(30924,plain,
% 26.19/17.52 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB106)) | (~v141(constB106))),
% 26.19/17.52 inference(modus_ponens,[status(thm)],[30923, 30922])).
% 26.19/17.52 tff(30925,plain,
% 26.19/17.52 (~v141(constB106)),
% 26.19/17.52 inference(unit_resolution,[status(thm)],[30924, 24291, 12288])).
% 26.19/17.53 tff(30926,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB106) | (~v144(constB106)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB106) | (~v144(constB106)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30927,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB106) | (~v144(constB106)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30928,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB106) | (~v144(constB106))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30927, 30926])).
% 26.19/17.53 tff(30929,plain,
% 26.19/17.53 (~v144(constB106)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30928, 24305, 30925])).
% 26.19/17.53 tff(30930,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB106) | (~v142(constB106)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB106) | (~v142(constB106)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30931,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB106) | (~v142(constB106)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30932,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB106) | (~v142(constB106))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30931, 30930])).
% 26.19/17.53 tff(30933,plain,
% 26.19/17.53 (~v142(constB106)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30932, 2985, 30929])).
% 26.19/17.53 tff(30934,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB106) | v142(constB106) | (~v135(constB106)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB106) | v142(constB106) | (~v135(constB106)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30935,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB106) | v142(constB106) | (~v135(constB106)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30936,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB106) | v142(constB106) | (~v135(constB106))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30935, 30934])).
% 26.19/17.53 tff(30937,plain,
% 26.19/17.53 (v138(constB106) | (~v135(constB106))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30936, 24247, 30933])).
% 26.19/17.53 tff(30938,plain,
% 26.19/17.53 (~v135(constB106)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30937, 30921])).
% 26.19/17.53 tff(30939,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30940,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30941,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB106, constB107)) | v135(constB106) | (~v137(constB107))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30940, 30939])).
% 26.19/17.53 tff(30942,plain,
% 26.19/17.53 (v135(constB106) | (~v137(constB107))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30941, 24262, 12330])).
% 26.19/17.53 tff(30943,plain,
% 26.19/17.53 (~v137(constB107)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30942, 30938])).
% 26.19/17.53 tff(30944,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB107) | (~v153(constB107)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB107) | (~v153(constB107)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30945,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB107) | (~v153(constB107)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30946,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB107) | (~v153(constB107))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30945, 30944])).
% 26.19/17.53 tff(30947,plain,
% 26.19/17.53 (~v153(constB107)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30946, 24437, 30943])).
% 26.19/17.53 tff(30948,assumption,(v18(constB108)), introduced(assumption)).
% 26.19/17.53 tff(30949,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB108))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30950,plain,
% 26.19/17.53 ($false),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30949, 3012, 30948])).
% 26.19/17.53 tff(30951,plain,(~v18(constB108)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.53 tff(30952,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30953,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB108) | (~v1(constB108)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30954,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB108) | (~v1(constB108))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30953, 30952])).
% 26.19/17.53 tff(30955,plain,
% 26.19/17.53 (v22(constB108)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30954, 3028, 12473])).
% 26.19/17.53 tff(30956,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB108) | (~v22(constB108)) | (~v19(constB108)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB108) | (~v22(constB108)) | (~v19(constB108)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30957,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB108) | (~v22(constB108)) | (~v19(constB108)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30958,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB108) | (~v22(constB108)) | (~v19(constB108))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30957, 30956])).
% 26.19/17.53 tff(30959,plain,
% 26.19/17.53 (v18(constB108) | (~v19(constB108))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30958, 3042, 30955])).
% 26.19/17.53 tff(30960,plain,
% 26.19/17.53 (~v19(constB108)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30959, 30951])).
% 26.19/17.53 tff(30961,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30962,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB108) | v19(constB108))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30963,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB108) | v19(constB108)),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30962, 30961])).
% 26.19/17.53 tff(30964,plain,
% 26.19/17.53 (v13(constB108)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30963, 3054, 30960])).
% 26.19/17.53 tff(30965,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30966,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30967,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB107) | (~v13(constB108)) | (~nextState(constB107, constB108))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30966, 30965])).
% 26.19/17.53 tff(30968,plain,
% 26.19/17.53 (v9(constB107) | (~v13(constB108))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30967, 3068, 12453])).
% 26.19/17.53 tff(30969,plain,
% 26.19/17.53 (v9(constB107)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30968, 30964])).
% 26.19/17.53 tff(30970,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v141(constB107))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB107) | (~v9(constB107)) | v141(constB107))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30971,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB107) | (~v9(constB107)) | v141(constB107))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30972,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB107) | (~v9(constB107)) | v141(constB107)),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30971, 30970])).
% 26.19/17.53 tff(30973,plain,
% 26.19/17.53 ((~v9(constB107)) | v141(constB107)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30972, 3083, 12327])).
% 26.19/17.53 tff(30974,plain,
% 26.19/17.53 (v141(constB107)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30973, 30969])).
% 26.19/17.53 tff(30975,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB107) | (~v141(constB107)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB107) | (~v141(constB107)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30976,plain,
% 26.19/17.53 (((~v141(constB107)) | v140(constB107)) <=> (v140(constB107) | (~v141(constB107)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30977,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB107)) | v140(constB107))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB107) | (~v141(constB107))))),
% 26.19/17.53 inference(monotonicity,[status(thm)],[30976])).
% 26.19/17.53 tff(30978,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB107)) | v140(constB107))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB107) | (~v141(constB107)))),
% 26.19/17.53 inference(transitivity,[status(thm)],[30977, 30975])).
% 26.19/17.53 tff(30979,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB107)) | v140(constB107))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30980,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB107) | (~v141(constB107))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30979, 30978])).
% 26.19/17.53 tff(30981,plain,
% 26.19/17.53 (v140(constB107)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30980, 24165, 30974])).
% 26.19/17.53 tff(30982,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB107)) | (~v155(constB107)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB107)) | (~v155(constB107)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30983,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB107)) | (~v155(constB107)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30984,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB107)) | (~v155(constB107))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30983, 30982])).
% 26.19/17.53 tff(30985,plain,
% 26.19/17.53 (~v155(constB107)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30984, 24482, 30981])).
% 26.19/17.53 tff(30986,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB107) | v155(constB107) | (~v150(constB107)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB107) | v155(constB107) | (~v150(constB107)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30987,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB107) | v155(constB107) | (~v150(constB107)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30988,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB107) | v155(constB107) | (~v150(constB107))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30987, 30986])).
% 26.19/17.53 tff(30989,plain,
% 26.19/17.53 (v153(constB107) | (~v150(constB107))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30988, 24496, 30985])).
% 26.19/17.53 tff(30990,plain,
% 26.19/17.53 (~v150(constB107)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30989, 30947])).
% 26.19/17.53 tff(30991,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30992,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30993,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB107, constB108)) | v150(constB107) | (~v152(constB108))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30992, 30991])).
% 26.19/17.53 tff(30994,plain,
% 26.19/17.53 (v150(constB107) | (~v152(constB108))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30993, 24511, 12453])).
% 26.19/17.53 tff(30995,plain,
% 26.19/17.53 (~v152(constB108)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30994, 30990])).
% 26.19/17.53 tff(30996,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB108) | (~v155(constB108)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB108) | (~v155(constB108)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(30997,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB108) | (~v155(constB108)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(30998,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB108) | (~v155(constB108))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[30997, 30996])).
% 26.19/17.53 tff(30999,plain,
% 26.19/17.53 (~v155(constB108)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[30998, 24526, 30995])).
% 26.19/17.53 tff(31000,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB108)) | (~v141(constB108)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB108)) | (~v141(constB108)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31001,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB108)) | (~v141(constB108)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31002,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB108)) | (~v141(constB108))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31001, 31000])).
% 26.19/17.53 tff(31003,plain,
% 26.19/17.53 (~v141(constB108)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31002, 24291, 12473])).
% 26.19/17.53 tff(31004,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB108) | (~v154(constB108)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB108) | (~v154(constB108)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31005,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB108) | (~v154(constB108)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31006,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB108) | (~v154(constB108))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31005, 31004])).
% 26.19/17.53 tff(31007,plain,
% 26.19/17.53 (~v154(constB108)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31006, 24544, 31003])).
% 26.19/17.53 tff(31008,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB108) | (~v153(constB108)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB108) | (~v153(constB108)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31009,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB108) | (~v153(constB108)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31010,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB108) | (~v153(constB108))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31009, 31008])).
% 26.19/17.53 tff(31011,plain,
% 26.19/17.53 (~v153(constB108)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31010, 24558, 31007])).
% 26.19/17.53 tff(31012,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB108) | v155(constB108) | (~v150(constB108)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB108) | v155(constB108) | (~v150(constB108)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31013,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB108) | v155(constB108) | (~v150(constB108)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31014,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB108) | v155(constB108) | (~v150(constB108))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31013, 31012])).
% 26.19/17.53 tff(31015,plain,
% 26.19/17.53 (v155(constB108) | (~v150(constB108))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31014, 24496, 31011])).
% 26.19/17.53 tff(31016,plain,
% 26.19/17.53 (~v150(constB108)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31015, 30999])).
% 26.19/17.53 tff(31017,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31018,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31019,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB108, constB109)) | v150(constB108) | (~v152(constB109))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31018, 31017])).
% 26.19/17.53 tff(31020,plain,
% 26.19/17.53 (v150(constB108) | (~v152(constB109))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31019, 24511, 12515])).
% 26.19/17.53 tff(31021,plain,
% 26.19/17.53 (~v152(constB109)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31020, 31016])).
% 26.19/17.53 tff(31022,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB109) | (~v164(constB109)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB109) | (~v164(constB109)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31023,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB109) | (~v164(constB109)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31024,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB109) | (~v164(constB109))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31023, 31022])).
% 26.19/17.53 tff(31025,plain,
% 26.19/17.53 (~v164(constB109)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31024, 24674, 31021])).
% 26.19/17.53 tff(31026,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB109)) | (~v163(constB109)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB109)) | (~v163(constB109)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31027,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB109)) | (~v163(constB109)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31028,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB109)) | (~v163(constB109))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31027, 31026])).
% 26.19/17.53 tff(31029,plain,
% 26.19/17.53 (~v163(constB109)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31028, 24179, 28661])).
% 26.19/17.53 tff(31030,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB109) | v164(constB109) | (~v160(constB109)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB109) | v164(constB109) | (~v160(constB109)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31031,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB109) | v164(constB109) | (~v160(constB109)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31032,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB109) | v164(constB109) | (~v160(constB109))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31031, 31030])).
% 26.19/17.53 tff(31033,plain,
% 26.19/17.53 (v164(constB109) | (~v160(constB109))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31032, 24688, 31029])).
% 26.19/17.53 tff(31034,plain,
% 26.19/17.53 (~v160(constB109)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31033, 31025])).
% 26.19/17.53 tff(31035,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31036,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31037,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB109, constB110)) | v160(constB109) | (~v162(constB110))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31036, 31035])).
% 26.19/17.53 tff(31038,plain,
% 26.19/17.53 (v160(constB109) | (~v162(constB110))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31037, 24703, 12636])).
% 26.19/17.53 tff(31039,plain,
% 26.19/17.53 (~v162(constB110)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31038, 31034])).
% 26.19/17.53 tff(31040,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB110) | (~v163(constB110)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB110) | (~v163(constB110)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31041,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB110) | (~v163(constB110)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31042,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB110) | (~v163(constB110))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31041, 31040])).
% 26.19/17.53 tff(31043,plain,
% 26.19/17.53 (~v163(constB110)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31042, 24718, 31039])).
% 26.19/17.53 tff(31044,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB110) | (~v154(constB110)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB110) | (~v154(constB110)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31045,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB110) | (~v154(constB110)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31046,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB110) | (~v154(constB110))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31045, 31044])).
% 26.19/17.53 tff(31047,plain,
% 26.19/17.53 (~v154(constB110)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31046, 24544, 28683])).
% 26.19/17.53 tff(31048,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB110) | (~v164(constB110)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB110) | (~v164(constB110)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31049,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB110) | (~v164(constB110)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31050,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB110) | (~v164(constB110))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31049, 31048])).
% 26.19/17.53 tff(31051,plain,
% 26.19/17.53 (~v164(constB110)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31050, 24740, 31047])).
% 26.19/17.53 tff(31052,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB110) | v164(constB110) | (~v160(constB110)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB110) | v164(constB110) | (~v160(constB110)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31053,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB110) | v164(constB110) | (~v160(constB110)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31054,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB110) | v164(constB110) | (~v160(constB110))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31053, 31052])).
% 26.19/17.53 tff(31055,plain,
% 26.19/17.53 (v163(constB110) | (~v160(constB110))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31054, 24688, 31051])).
% 26.19/17.53 tff(31056,plain,
% 26.19/17.53 (~v160(constB110)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31055, 31043])).
% 26.19/17.53 tff(31057,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31058,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31059,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB110, constB111)) | v160(constB110) | (~v162(constB111))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31058, 31057])).
% 26.19/17.53 tff(31060,plain,
% 26.19/17.53 (v160(constB110) | (~v162(constB111))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31059, 24703, 12725])).
% 26.19/17.53 tff(31061,plain,
% 26.19/17.53 (~v162(constB111)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31060, 31056])).
% 26.19/17.53 tff(31062,plain,
% 26.19/17.53 ($false),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31061, 30808])).
% 26.19/17.53 tff(31063,plain,(~(constB111 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.53 tff(31064,assumption,(constB123 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.53 tff(31065,plain,
% 26.19/17.53 (v162(constB123) <=> v162(sK0_VarCurr)),
% 26.19/17.53 inference(monotonicity,[status(thm)],[31064])).
% 26.19/17.53 tff(31066,plain,
% 26.19/17.53 (v162(sK0_VarCurr) <=> v162(constB123)),
% 26.19/17.53 inference(symmetry,[status(thm)],[31065])).
% 26.19/17.53 tff(31067,plain,
% 26.19/17.53 (v162(constB123)),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[24130, 31066])).
% 26.19/17.53 tff(31068,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB117)) | (~v84(constB117, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB117)) | (~v84(constB117, bitIndex2)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31069,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB117)) | (~v84(constB117, bitIndex2)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31070,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB117)) | (~v84(constB117, bitIndex2))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31069, 31068])).
% 26.19/17.53 tff(31071,plain,
% 26.19/17.53 (~v145(constB117)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31070, 16179, 13352])).
% 26.19/17.53 tff(31072,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB117) | (~v144(constB117)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB117) | (~v144(constB117)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31073,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB117) | (~v144(constB117)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31074,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB117) | (~v144(constB117))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31073, 31072])).
% 26.19/17.53 tff(31075,plain,
% 26.19/17.53 (~v144(constB117)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31074, 2971, 31071])).
% 26.19/17.53 tff(31076,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB117) | (~v142(constB117)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB117) | (~v142(constB117)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31077,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB117) | (~v142(constB117)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31078,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB117) | (~v142(constB117))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31077, 31076])).
% 26.19/17.53 tff(31079,plain,
% 26.19/17.53 (~v142(constB117)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31078, 2985, 31075])).
% 26.19/17.53 tff(31080,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB117)) | (~v140(constB117)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB117)) | (~v140(constB117)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31081,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB117)) | (~v140(constB117)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31082,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB117)) | (~v140(constB117))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31081, 31080])).
% 26.19/17.53 tff(31083,plain,
% 26.19/17.53 (~v138(constB117)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31082, 24221, 29453])).
% 26.19/17.53 tff(31084,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB117) | v142(constB117) | (~v135(constB117)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB117) | v142(constB117) | (~v135(constB117)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31085,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB117) | v142(constB117) | (~v135(constB117)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31086,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB117) | v142(constB117) | (~v135(constB117))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31085, 31084])).
% 26.19/17.53 tff(31087,plain,
% 26.19/17.53 (v142(constB117) | (~v135(constB117))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31086, 24247, 31083])).
% 26.19/17.53 tff(31088,plain,
% 26.19/17.53 (~v135(constB117)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31087, 31079])).
% 26.19/17.53 tff(31089,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB117, constB118)) | v135(constB117) | (~v137(constB118)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB117, constB118)) | v135(constB117) | (~v137(constB118)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31090,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB117, constB118)) | v135(constB117) | (~v137(constB118)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31091,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB117, constB118)) | v135(constB117) | (~v137(constB118))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31090, 31089])).
% 26.19/17.53 tff(31092,plain,
% 26.19/17.53 (v135(constB117) | (~v137(constB118))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31091, 24262, 13458])).
% 26.19/17.53 tff(31093,plain,
% 26.19/17.53 (~v137(constB118)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31092, 31088])).
% 26.19/17.53 tff(31094,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB118) | (~v138(constB118)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB118) | (~v138(constB118)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31095,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB118) | (~v138(constB118)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31096,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB118) | (~v138(constB118))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31095, 31094])).
% 26.19/17.53 tff(31097,plain,
% 26.19/17.53 (~v138(constB118)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31096, 24277, 31093])).
% 26.19/17.53 tff(31098,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB118) | (~v144(constB118)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB118) | (~v144(constB118)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31099,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB118) | (~v144(constB118)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31100,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB118) | (~v144(constB118))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31099, 31098])).
% 26.19/17.53 tff(31101,plain,
% 26.19/17.53 (~v144(constB118)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31100, 24305, 29475])).
% 26.19/17.53 tff(31102,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB118) | (~v142(constB118)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB118) | (~v142(constB118)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31103,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB118) | (~v142(constB118)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31104,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB118) | (~v142(constB118))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31103, 31102])).
% 26.19/17.53 tff(31105,plain,
% 26.19/17.53 (~v142(constB118)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31104, 2985, 31101])).
% 26.19/17.53 tff(31106,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB118) | v142(constB118) | (~v135(constB118)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB118) | v142(constB118) | (~v135(constB118)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31107,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB118) | v142(constB118) | (~v135(constB118)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31108,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB118) | v142(constB118) | (~v135(constB118))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31107, 31106])).
% 26.19/17.53 tff(31109,plain,
% 26.19/17.53 (v138(constB118) | (~v135(constB118))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31108, 24247, 31105])).
% 26.19/17.53 tff(31110,plain,
% 26.19/17.53 (~v135(constB118)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31109, 31097])).
% 26.19/17.53 tff(31111,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB118, constB119)) | v135(constB118) | (~v137(constB119)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB118, constB119)) | v135(constB118) | (~v137(constB119)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31112,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB118, constB119)) | v135(constB118) | (~v137(constB119)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31113,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB118, constB119)) | v135(constB118) | (~v137(constB119))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31112, 31111])).
% 26.19/17.53 tff(31114,plain,
% 26.19/17.53 (v135(constB118) | (~v137(constB119))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31113, 24262, 13520])).
% 26.19/17.53 tff(31115,plain,
% 26.19/17.53 (~v137(constB119)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31114, 31110])).
% 26.19/17.53 tff(31116,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB119) | (~v153(constB119)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB119) | (~v153(constB119)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31117,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB119) | (~v153(constB119)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31118,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB119) | (~v153(constB119))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31117, 31116])).
% 26.19/17.53 tff(31119,plain,
% 26.19/17.53 (~v153(constB119)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31118, 24437, 31115])).
% 26.19/17.53 tff(31120,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB119)) | (~v155(constB119)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB119)) | (~v155(constB119)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31121,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB119)) | (~v155(constB119)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31122,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB119)) | (~v155(constB119))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31121, 31120])).
% 26.19/17.53 tff(31123,plain,
% 26.19/17.53 (~v155(constB119)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31122, 24482, 29528])).
% 26.19/17.53 tff(31124,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB119) | v155(constB119) | (~v150(constB119)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB119) | v155(constB119) | (~v150(constB119)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31125,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB119) | v155(constB119) | (~v150(constB119)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31126,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB119) | v155(constB119) | (~v150(constB119))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31125, 31124])).
% 26.19/17.53 tff(31127,plain,
% 26.19/17.53 (v153(constB119) | (~v150(constB119))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31126, 24496, 31123])).
% 26.19/17.53 tff(31128,plain,
% 26.19/17.53 (~v150(constB119)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31127, 31119])).
% 26.19/17.53 tff(31129,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB119, constB120)) | v150(constB119) | (~v152(constB120)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB119, constB120)) | v150(constB119) | (~v152(constB120)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31130,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB119, constB120)) | v150(constB119) | (~v152(constB120)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31131,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB119, constB120)) | v150(constB119) | (~v152(constB120))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31130, 31129])).
% 26.19/17.53 tff(31132,plain,
% 26.19/17.53 (v150(constB119) | (~v152(constB120))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31131, 24511, 13643])).
% 26.19/17.53 tff(31133,plain,
% 26.19/17.53 (~v152(constB120)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31132, 31128])).
% 26.19/17.53 tff(31134,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB120) | (~v155(constB120)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB120) | (~v155(constB120)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31135,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB120) | (~v155(constB120)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31136,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB120) | (~v155(constB120))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31135, 31134])).
% 26.19/17.53 tff(31137,plain,
% 26.19/17.53 (~v155(constB120)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31136, 24526, 31133])).
% 26.19/17.53 tff(31138,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB120) | (~v153(constB120)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB120) | (~v153(constB120)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31139,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB120) | (~v153(constB120)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31140,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB120) | (~v153(constB120))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31139, 31138])).
% 26.19/17.53 tff(31141,plain,
% 26.19/17.53 (~v153(constB120)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31140, 24558, 29554])).
% 26.19/17.53 tff(31142,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB120) | v155(constB120) | (~v150(constB120)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB120) | v155(constB120) | (~v150(constB120)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31143,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB120) | v155(constB120) | (~v150(constB120)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31144,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB120) | v155(constB120) | (~v150(constB120))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31143, 31142])).
% 26.19/17.53 tff(31145,plain,
% 26.19/17.53 (v155(constB120) | (~v150(constB120))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31144, 24496, 31141])).
% 26.19/17.53 tff(31146,plain,
% 26.19/17.53 (~v150(constB120)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31145, 31137])).
% 26.19/17.53 tff(31147,plain,
% 26.19/17.53 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB120, constB121)) | v150(constB120) | (~v152(constB121)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB120, constB121)) | v150(constB120) | (~v152(constB121)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31148,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB120, constB121)) | v150(constB120) | (~v152(constB121)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31149,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB120, constB121)) | v150(constB120) | (~v152(constB121))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31148, 31147])).
% 26.19/17.53 tff(31150,plain,
% 26.19/17.53 (v150(constB120) | (~v152(constB121))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31149, 24511, 13705])).
% 26.19/17.53 tff(31151,plain,
% 26.19/17.53 (~v152(constB121)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31150, 31146])).
% 26.19/17.53 tff(31152,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB121) | (~v164(constB121)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB121) | (~v164(constB121)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31153,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB121) | (~v164(constB121)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31154,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB121) | (~v164(constB121))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31153, 31152])).
% 26.19/17.53 tff(31155,plain,
% 26.19/17.53 (~v164(constB121)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31154, 24674, 31151])).
% 26.19/17.53 tff(31156,assumption,(v18(constB122)), introduced(assumption)).
% 26.19/17.53 tff(31157,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB122))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31158,plain,
% 26.19/17.53 ($false),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31157, 3012, 31156])).
% 26.19/17.53 tff(31159,plain,(~v18(constB122)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.53 tff(31160,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31161,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB122) | (~v1(constB122)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31162,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB122) | (~v1(constB122))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31161, 31160])).
% 26.19/17.53 tff(31163,plain,
% 26.19/17.53 (v22(constB122)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31162, 3028, 13844])).
% 26.19/17.53 tff(31164,plain,
% 26.19/17.53 (((~![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)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31165,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB122) | (~v22(constB122)) | (~v19(constB122)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31166,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB122) | (~v22(constB122)) | (~v19(constB122))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31165, 31164])).
% 26.19/17.53 tff(31167,plain,
% 26.19/17.53 (v18(constB122) | (~v19(constB122))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31166, 3042, 31163])).
% 26.19/17.53 tff(31168,plain,
% 26.19/17.53 (~v19(constB122)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31167, 31159])).
% 26.19/17.53 tff(31169,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31170,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB122) | v19(constB122))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31171,plain,
% 26.19/17.53 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB122) | v19(constB122)),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31170, 31169])).
% 26.19/17.53 tff(31172,plain,
% 26.19/17.53 (v13(constB122)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31171, 3054, 31168])).
% 26.19/17.53 tff(31173,plain,
% 26.19/17.53 (((~![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)))),
% 26.19/17.53 inference(rewrite,[status(thm)],[])).
% 26.19/17.53 tff(31174,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122)))),
% 26.19/17.53 inference(quant_inst,[status(thm)],[])).
% 26.19/17.53 tff(31175,plain,
% 26.19/17.53 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB121) | (~v13(constB122)) | (~nextState(constB121, constB122))),
% 26.19/17.53 inference(modus_ponens,[status(thm)],[31174, 31173])).
% 26.19/17.53 tff(31176,plain,
% 26.19/17.53 (v9(constB121) | (~v13(constB122))),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31175, 3068, 13824])).
% 26.19/17.53 tff(31177,plain,
% 26.19/17.53 (v9(constB121)),
% 26.19/17.53 inference(unit_resolution,[status(thm)],[31176, 31172])).
% 26.19/17.53 tff(31178,plain,
% 26.19/17.53 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v141(constB121))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB121) | (~v9(constB121)) | v141(constB121))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31179,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB121) | (~v9(constB121)) | v141(constB121))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31180,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB121) | (~v9(constB121)) | v141(constB121)),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31179, 31178])).
% 26.19/17.54 tff(31181,plain,
% 26.19/17.54 ((~v9(constB121)) | v141(constB121)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31180, 3083, 13702])).
% 26.19/17.54 tff(31182,plain,
% 26.19/17.54 (v141(constB121)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31181, 31177])).
% 26.19/17.54 tff(31183,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB121)) | v140(constB121))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB121)) | v140(constB121))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31184,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB121)) | v140(constB121))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31185,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB121)) | v140(constB121)),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31184, 31183])).
% 26.19/17.54 tff(31186,plain,
% 26.19/17.54 (v140(constB121)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31185, 24165, 31182])).
% 26.19/17.54 tff(31187,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB121)) | (~v163(constB121)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB121)) | (~v163(constB121)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31188,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB121)) | (~v163(constB121)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31189,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB121)) | (~v163(constB121))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31188, 31187])).
% 26.19/17.54 tff(31190,plain,
% 26.19/17.54 (~v163(constB121)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31189, 24179, 31186])).
% 26.19/17.54 tff(31191,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB121) | v164(constB121) | (~v160(constB121)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB121) | v164(constB121) | (~v160(constB121)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31192,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB121) | v164(constB121) | (~v160(constB121)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31193,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB121) | v164(constB121) | (~v160(constB121))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31192, 31191])).
% 26.19/17.54 tff(31194,plain,
% 26.19/17.54 (v164(constB121) | (~v160(constB121))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31193, 24688, 31190])).
% 26.19/17.54 tff(31195,plain,
% 26.19/17.54 (~v160(constB121)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31194, 31155])).
% 26.19/17.54 tff(31196,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB121, constB122)) | v160(constB121) | (~v162(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB121, constB122)) | v160(constB121) | (~v162(constB122)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31197,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB121, constB122)) | v160(constB121) | (~v162(constB122)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31198,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB121, constB122)) | v160(constB121) | (~v162(constB122))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31197, 31196])).
% 26.19/17.54 tff(31199,plain,
% 26.19/17.54 (v160(constB121) | (~v162(constB122))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31198, 24703, 13824])).
% 26.19/17.54 tff(31200,plain,
% 26.19/17.54 (~v162(constB122)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31199, 31195])).
% 26.19/17.54 tff(31201,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB122) | (~v163(constB122)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB122) | (~v163(constB122)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31202,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB122) | (~v163(constB122)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31203,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB122) | (~v163(constB122))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31202, 31201])).
% 26.19/17.54 tff(31204,plain,
% 26.19/17.54 (~v163(constB122)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31203, 24718, 31200])).
% 26.19/17.54 tff(31205,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB122)) | (~v141(constB122)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB122)) | (~v141(constB122)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31206,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB122)) | (~v141(constB122)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31207,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB122)) | (~v141(constB122))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31206, 31205])).
% 26.19/17.54 tff(31208,plain,
% 26.19/17.54 (~v141(constB122)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31207, 24291, 13844])).
% 26.19/17.54 tff(31209,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB122) | (~v154(constB122)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB122) | (~v154(constB122)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31210,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB122) | (~v154(constB122)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31211,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB122) | (~v154(constB122))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31210, 31209])).
% 26.19/17.54 tff(31212,plain,
% 26.19/17.54 (~v154(constB122)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31211, 24544, 31208])).
% 26.19/17.54 tff(31213,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB122) | (~v164(constB122)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB122) | (~v164(constB122)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31214,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB122) | (~v164(constB122)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31215,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB122) | (~v164(constB122))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31214, 31213])).
% 26.19/17.54 tff(31216,plain,
% 26.19/17.54 (~v164(constB122)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31215, 24740, 31212])).
% 26.19/17.54 tff(31217,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB122) | v164(constB122) | (~v160(constB122)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB122) | v164(constB122) | (~v160(constB122)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31218,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB122) | v164(constB122) | (~v160(constB122)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31219,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB122) | v164(constB122) | (~v160(constB122))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31218, 31217])).
% 26.19/17.54 tff(31220,plain,
% 26.19/17.54 (v163(constB122) | (~v160(constB122))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31219, 24688, 31216])).
% 26.19/17.54 tff(31221,plain,
% 26.19/17.54 (~v160(constB122)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31220, 31204])).
% 26.19/17.54 tff(31222,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB122, constB123)) | v160(constB122) | (~v162(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB122, constB123)) | v160(constB122) | (~v162(constB123)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31223,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB122, constB123)) | v160(constB122) | (~v162(constB123)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31224,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB122, constB123)) | v160(constB122) | (~v162(constB123))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31223, 31222])).
% 26.19/17.54 tff(31225,plain,
% 26.19/17.54 (v160(constB122) | (~v162(constB123))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31224, 24703, 13913])).
% 26.19/17.54 tff(31226,plain,
% 26.19/17.54 (~v162(constB123)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31225, 31221])).
% 26.19/17.54 tff(31227,plain,
% 26.19/17.54 ($false),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31226, 31067])).
% 26.19/17.54 tff(31228,plain,(~(constB123 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.54 tff(31229,assumption,(constB98 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.54 tff(31230,plain,
% 26.19/17.54 (v1(constB98) <=> v1(sK0_VarCurr)),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31229])).
% 26.19/17.54 tff(31231,plain,
% 26.19/17.54 (v1(sK0_VarCurr) <=> v1(constB98)),
% 26.19/17.54 inference(symmetry,[status(thm)],[31230])).
% 26.19/17.54 tff(31232,plain,
% 26.19/17.54 ((~v1(sK0_VarCurr)) <=> (~v1(constB98))),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31231])).
% 26.19/17.54 tff(31233,plain,
% 26.19/17.54 (~v1(constB98)),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[25472, 31232])).
% 26.19/17.54 tff(31234,plain,
% 26.19/17.54 ($false),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[11242, 31233])).
% 26.19/17.54 tff(31235,plain,(~(constB98 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.54 tff(31236,assumption,(constB10 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.54 tff(31237,plain,
% 26.19/17.54 (v1(constB10) <=> v1(sK0_VarCurr)),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31236])).
% 26.19/17.54 tff(31238,plain,
% 26.19/17.54 (v1(sK0_VarCurr) <=> v1(constB10)),
% 26.19/17.54 inference(symmetry,[status(thm)],[31237])).
% 26.19/17.54 tff(31239,plain,
% 26.19/17.54 ((~v1(sK0_VarCurr)) <=> (~v1(constB10))),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31238])).
% 26.19/17.54 tff(31240,plain,
% 26.19/17.54 (~v1(constB10)),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[25472, 31239])).
% 26.19/17.54 tff(31241,plain,
% 26.19/17.54 ($false),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[1518, 31240])).
% 26.19/17.54 tff(31242,plain,(~(constB10 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.54 tff(31243,assumption,(constB14 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.54 tff(31244,plain,
% 26.19/17.54 (v1(constB14) <=> v1(sK0_VarCurr)),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31243])).
% 26.19/17.54 tff(31245,plain,
% 26.19/17.54 (v1(sK0_VarCurr) <=> v1(constB14)),
% 26.19/17.54 inference(symmetry,[status(thm)],[31244])).
% 26.19/17.54 tff(31246,plain,
% 26.19/17.54 ((~v1(sK0_VarCurr)) <=> (~v1(constB14))),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31245])).
% 26.19/17.54 tff(31247,plain,
% 26.19/17.54 (~v1(constB14)),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[25472, 31246])).
% 26.19/17.54 tff(31248,plain,
% 26.19/17.54 ($false),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[1953, 31247])).
% 26.19/17.54 tff(31249,plain,(~(constB14 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.54 tff(31250,assumption,(constB174 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.54 tff(31251,plain,
% 26.19/17.54 (v1(constB174) <=> v1(sK0_VarCurr)),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31250])).
% 26.19/17.54 tff(31252,plain,
% 26.19/17.54 (v1(sK0_VarCurr) <=> v1(constB174)),
% 26.19/17.54 inference(symmetry,[status(thm)],[31251])).
% 26.19/17.54 tff(31253,plain,
% 26.19/17.54 ((~v1(sK0_VarCurr)) <=> (~v1(constB174))),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31252])).
% 26.19/17.54 tff(31254,plain,
% 26.19/17.54 (~v1(constB174)),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[25472, 31253])).
% 26.19/17.54 tff(31255,plain,
% 26.19/17.54 ($false),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[20929, 31254])).
% 26.19/17.54 tff(31256,plain,(~(constB174 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.54 tff(31257,assumption,(constB91 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.54 tff(31258,plain,
% 26.19/17.54 (v162(constB91) <=> v162(sK0_VarCurr)),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31257])).
% 26.19/17.54 tff(31259,plain,
% 26.19/17.54 (v162(sK0_VarCurr) <=> v162(constB91)),
% 26.19/17.54 inference(symmetry,[status(thm)],[31258])).
% 26.19/17.54 tff(31260,plain,
% 26.19/17.54 (v162(constB91)),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[24130, 31259])).
% 26.19/17.54 tff(31261,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB85) | (~v144(constB85)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB85) | (~v144(constB85)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31262,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB85) | (~v144(constB85)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31263,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB85) | (~v144(constB85))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31262, 31261])).
% 26.19/17.54 tff(31264,plain,
% 26.19/17.54 (~v144(constB85)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31263, 2971, 9992])).
% 26.19/17.54 tff(31265,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB85) | (~v142(constB85)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB85) | (~v142(constB85)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31266,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB85) | (~v142(constB85)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31267,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB85) | (~v142(constB85))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31266, 31265])).
% 26.19/17.54 tff(31268,plain,
% 26.19/17.54 (~v142(constB85)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31267, 2985, 31264])).
% 26.19/17.54 tff(31269,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB85)) | (~v140(constB85)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB85)) | (~v140(constB85)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31270,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB85)) | (~v140(constB85)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31271,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB85)) | (~v140(constB85))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31270, 31269])).
% 26.19/17.54 tff(31272,plain,
% 26.19/17.54 (~v138(constB85)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31271, 24221, 25633])).
% 26.19/17.54 tff(31273,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB85) | v142(constB85) | (~v135(constB85)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB85) | v142(constB85) | (~v135(constB85)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31274,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB85) | v142(constB85) | (~v135(constB85)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31275,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB85) | v142(constB85) | (~v135(constB85))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31274, 31273])).
% 26.19/17.54 tff(31276,plain,
% 26.19/17.54 (v142(constB85) | (~v135(constB85))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31275, 24247, 31272])).
% 26.19/17.54 tff(31277,plain,
% 26.19/17.54 (~v135(constB85)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31276, 31268])).
% 26.19/17.54 tff(31278,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31279,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31280,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB85, constB86)) | v135(constB85) | (~v137(constB86))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31279, 31278])).
% 26.19/17.54 tff(31281,plain,
% 26.19/17.54 (v135(constB85) | (~v137(constB86))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31280, 24262, 9934])).
% 26.19/17.54 tff(31282,plain,
% 26.19/17.54 (~v137(constB86)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31281, 31277])).
% 26.19/17.54 tff(31283,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB86) | (~v138(constB86)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB86) | (~v138(constB86)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31284,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB86) | (~v138(constB86)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31285,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB86) | (~v138(constB86))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31284, 31283])).
% 26.19/17.54 tff(31286,plain,
% 26.19/17.54 (~v138(constB86)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31285, 24277, 31282])).
% 26.19/17.54 tff(31287,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB86) | (~v144(constB86)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB86) | (~v144(constB86)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31288,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB86) | (~v144(constB86)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31289,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB86) | (~v144(constB86))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31288, 31287])).
% 26.19/17.54 tff(31290,plain,
% 26.19/17.54 (~v144(constB86)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31289, 24305, 25655])).
% 26.19/17.54 tff(31291,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB86) | (~v142(constB86)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB86) | (~v142(constB86)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31292,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB86) | (~v142(constB86)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31293,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB86) | (~v142(constB86))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31292, 31291])).
% 26.19/17.54 tff(31294,plain,
% 26.19/17.54 (~v142(constB86)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31293, 2985, 31290])).
% 26.19/17.54 tff(31295,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB86) | v142(constB86) | (~v135(constB86)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB86) | v142(constB86) | (~v135(constB86)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31296,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB86) | v142(constB86) | (~v135(constB86)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31297,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB86) | v142(constB86) | (~v135(constB86))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31296, 31295])).
% 26.19/17.54 tff(31298,plain,
% 26.19/17.54 (v138(constB86) | (~v135(constB86))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31297, 24247, 31294])).
% 26.19/17.54 tff(31299,plain,
% 26.19/17.54 (~v135(constB86)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31298, 31286])).
% 26.19/17.54 tff(31300,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31301,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31302,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB86, constB87)) | v135(constB86) | (~v137(constB87))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31301, 31300])).
% 26.19/17.54 tff(31303,plain,
% 26.19/17.54 (v135(constB86) | (~v137(constB87))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31302, 24262, 10023])).
% 26.19/17.54 tff(31304,plain,
% 26.19/17.54 (~v137(constB87)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31303, 31299])).
% 26.19/17.54 tff(31305,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB87) | (~v153(constB87)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB87) | (~v153(constB87)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31306,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB87) | (~v153(constB87)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31307,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB87) | (~v153(constB87))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31306, 31305])).
% 26.19/17.54 tff(31308,plain,
% 26.19/17.54 (~v153(constB87)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31307, 24437, 31304])).
% 26.19/17.54 tff(31309,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB87)) | (~v155(constB87)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB87)) | (~v155(constB87)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31310,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB87)) | (~v155(constB87)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31311,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB87)) | (~v155(constB87))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31310, 31309])).
% 26.19/17.54 tff(31312,plain,
% 26.19/17.54 (~v155(constB87)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31311, 24482, 25711])).
% 26.19/17.54 tff(31313,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB87) | v155(constB87) | (~v150(constB87)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB87) | v155(constB87) | (~v150(constB87)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31314,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB87) | v155(constB87) | (~v150(constB87)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31315,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB87) | v155(constB87) | (~v150(constB87))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31314, 31313])).
% 26.19/17.54 tff(31316,plain,
% 26.19/17.54 (v153(constB87) | (~v150(constB87))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31315, 24496, 31312])).
% 26.19/17.54 tff(31317,plain,
% 26.19/17.54 (~v150(constB87)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31316, 31308])).
% 26.19/17.54 tff(31318,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31319,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31320,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB87, constB88)) | v150(constB87) | (~v152(constB88))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31319, 31318])).
% 26.19/17.54 tff(31321,plain,
% 26.19/17.54 (v150(constB87) | (~v152(constB88))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31320, 24511, 10220])).
% 26.19/17.54 tff(31322,plain,
% 26.19/17.54 (~v152(constB88)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31321, 31317])).
% 26.19/17.54 tff(31323,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB88) | (~v155(constB88)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB88) | (~v155(constB88)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31324,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB88) | (~v155(constB88)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31325,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB88) | (~v155(constB88))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31324, 31323])).
% 26.19/17.54 tff(31326,plain,
% 26.19/17.54 (~v155(constB88)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31325, 24526, 31322])).
% 26.19/17.54 tff(31327,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB88) | (~v153(constB88)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB88) | (~v153(constB88)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31328,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB88) | (~v153(constB88)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31329,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB88) | (~v153(constB88))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31328, 31327])).
% 26.19/17.54 tff(31330,plain,
% 26.19/17.54 (~v153(constB88)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31329, 24558, 25737])).
% 26.19/17.54 tff(31331,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB88) | v155(constB88) | (~v150(constB88)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB88) | v155(constB88) | (~v150(constB88)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31332,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB88) | v155(constB88) | (~v150(constB88)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31333,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB88) | v155(constB88) | (~v150(constB88))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31332, 31331])).
% 26.19/17.54 tff(31334,plain,
% 26.19/17.54 (v155(constB88) | (~v150(constB88))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31333, 24496, 31330])).
% 26.19/17.54 tff(31335,plain,
% 26.19/17.54 (~v150(constB88)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31334, 31326])).
% 26.19/17.54 tff(31336,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31337,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31338,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB88, constB89)) | v150(constB88) | (~v152(constB89))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31337, 31336])).
% 26.19/17.54 tff(31339,plain,
% 26.19/17.54 (v150(constB88) | (~v152(constB89))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31338, 24511, 10282])).
% 26.19/17.54 tff(31340,plain,
% 26.19/17.54 (~v152(constB89)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31339, 31335])).
% 26.19/17.54 tff(31341,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB89) | (~v164(constB89)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB89) | (~v164(constB89)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31342,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB89) | (~v164(constB89)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31343,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB89) | (~v164(constB89))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31342, 31341])).
% 26.19/17.54 tff(31344,plain,
% 26.19/17.54 (~v164(constB89)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31343, 24674, 31340])).
% 26.19/17.54 tff(31345,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB89) | (~v163(constB89)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB89) | (~v163(constB89)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31346,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB89) | (~v163(constB89)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31347,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB89) | (~v163(constB89))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31346, 31345])).
% 26.19/17.54 tff(31348,plain,
% 26.19/17.54 (~v163(constB89)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31347, 24718, 25751])).
% 26.19/17.54 tff(31349,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB89) | v164(constB89) | (~v160(constB89)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB89) | v164(constB89) | (~v160(constB89)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31350,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB89) | v164(constB89) | (~v160(constB89)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31351,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB89) | v164(constB89) | (~v160(constB89))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31350, 31349])).
% 26.19/17.54 tff(31352,plain,
% 26.19/17.54 (v164(constB89) | (~v160(constB89))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31351, 24688, 31348])).
% 26.19/17.54 tff(31353,plain,
% 26.19/17.54 (~v160(constB89)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31352, 31344])).
% 26.19/17.54 tff(31354,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31355,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31356,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB89, constB90)) | v160(constB89) | (~v162(constB90))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31355, 31354])).
% 26.19/17.54 tff(31357,plain,
% 26.19/17.54 (v160(constB89) | (~v162(constB90))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31356, 24703, 10420])).
% 26.19/17.54 tff(31358,plain,
% 26.19/17.54 (~v162(constB90)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31357, 31353])).
% 26.19/17.54 tff(31359,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB90) | (~v163(constB90)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB90) | (~v163(constB90)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31360,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB90) | (~v163(constB90)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31361,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB90) | (~v163(constB90))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31360, 31359])).
% 26.19/17.54 tff(31362,plain,
% 26.19/17.54 (~v163(constB90)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31361, 24718, 31358])).
% 26.19/17.54 tff(31363,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB90) | (~v154(constB90)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB90) | (~v154(constB90)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31364,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB90) | (~v154(constB90)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31365,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB90) | (~v154(constB90))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31364, 31363])).
% 26.19/17.54 tff(31366,plain,
% 26.19/17.54 (~v154(constB90)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31365, 24544, 24295])).
% 26.19/17.54 tff(31367,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB90) | (~v164(constB90)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB90) | (~v164(constB90)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31368,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB90) | (~v164(constB90)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31369,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB90) | (~v164(constB90))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31368, 31367])).
% 26.19/17.54 tff(31370,plain,
% 26.19/17.54 (~v164(constB90)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31369, 24740, 31366])).
% 26.19/17.54 tff(31371,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB90) | v164(constB90) | (~v160(constB90)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB90) | v164(constB90) | (~v160(constB90)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31372,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB90) | v164(constB90) | (~v160(constB90)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31373,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB90) | v164(constB90) | (~v160(constB90))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31372, 31371])).
% 26.19/17.54 tff(31374,plain,
% 26.19/17.54 (v163(constB90) | (~v160(constB90))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31373, 24688, 31370])).
% 26.19/17.54 tff(31375,plain,
% 26.19/17.54 (~v160(constB90)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31374, 31362])).
% 26.19/17.54 tff(31376,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31377,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31378,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB90, constB91)) | v160(constB90) | (~v162(constB91))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31377, 31376])).
% 26.19/17.54 tff(31379,plain,
% 26.19/17.54 (v160(constB90) | (~v162(constB91))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31378, 24703, 10482])).
% 26.19/17.54 tff(31380,plain,
% 26.19/17.54 (~v162(constB91)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31379, 31375])).
% 26.19/17.54 tff(31381,plain,
% 26.19/17.54 ($false),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31380, 31260])).
% 26.19/17.54 tff(31382,plain,(~(constB91 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.54 tff(31383,assumption,(constB148 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.54 tff(31384,plain,
% 26.19/17.54 (v1(constB148) <=> v1(sK0_VarCurr)),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31383])).
% 26.19/17.54 tff(31385,plain,
% 26.19/17.54 (v1(sK0_VarCurr) <=> v1(constB148)),
% 26.19/17.54 inference(symmetry,[status(thm)],[31384])).
% 26.19/17.54 tff(31386,plain,
% 26.19/17.54 ((~v1(sK0_VarCurr)) <=> (~v1(constB148))),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31385])).
% 26.19/17.54 tff(31387,plain,
% 26.19/17.54 (~v1(constB148)),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[25472, 31386])).
% 26.19/17.54 tff(31388,plain,
% 26.19/17.54 ($false),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[17166, 31387])).
% 26.19/17.54 tff(31389,plain,(~(constB148 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.54 tff(31390,assumption,(constB29 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.54 tff(31391,plain,
% 26.19/17.54 (v162(constB29) <=> v162(sK0_VarCurr)),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31390])).
% 26.19/17.54 tff(31392,plain,
% 26.19/17.54 (v162(sK0_VarCurr) <=> v162(constB29)),
% 26.19/17.54 inference(symmetry,[status(thm)],[31391])).
% 26.19/17.54 tff(31393,plain,
% 26.19/17.54 (v162(constB29)),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[24130, 31392])).
% 26.19/17.54 tff(31394,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB21)) | (~v84(constB21, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB21)) | (~v84(constB21, bitIndex2)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31395,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB21)) | (~v84(constB21, bitIndex2)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31396,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB21)) | (~v84(constB21, bitIndex2))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31395, 31394])).
% 26.19/17.54 tff(31397,plain,
% 26.19/17.54 (~v145(constB21)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31396, 16179, 2764])).
% 26.19/17.54 tff(31398,plain,
% 26.19/17.54 (~v144(constB21)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[2974, 2971, 31397])).
% 26.19/17.54 tff(31399,plain,
% 26.19/17.54 (~v142(constB21)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[2988, 2985, 31398])).
% 26.19/17.54 tff(31400,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB21) | (~v141(constB21)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB21) | (~v141(constB21)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31401,plain,
% 26.19/17.54 (((~v141(constB21)) | v140(constB21)) <=> (v140(constB21) | (~v141(constB21)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31402,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB21)) | v140(constB21))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB21) | (~v141(constB21))))),
% 26.19/17.54 inference(monotonicity,[status(thm)],[31401])).
% 26.19/17.54 tff(31403,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB21)) | v140(constB21))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB21) | (~v141(constB21)))),
% 26.19/17.54 inference(transitivity,[status(thm)],[31402, 31400])).
% 26.19/17.54 tff(31404,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB21)) | v140(constB21))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31405,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB21) | (~v141(constB21))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31404, 31403])).
% 26.19/17.54 tff(31406,plain,
% 26.19/17.54 (v140(constB21)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31405, 24165, 3088])).
% 26.19/17.54 tff(31407,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB21)) | (~v140(constB21)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB21)) | (~v140(constB21)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31408,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB21)) | (~v140(constB21)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31409,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB21)) | (~v140(constB21))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31408, 31407])).
% 26.19/17.54 tff(31410,plain,
% 26.19/17.54 (~v138(constB21)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31409, 24221, 31406])).
% 26.19/17.54 tff(31411,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB21) | v142(constB21) | (~v135(constB21)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB21) | v142(constB21) | (~v135(constB21)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31412,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB21) | v142(constB21) | (~v135(constB21)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31413,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB21) | v142(constB21) | (~v135(constB21))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31412, 31411])).
% 26.19/17.54 tff(31414,plain,
% 26.19/17.54 (v142(constB21) | (~v135(constB21))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31413, 24247, 31410])).
% 26.19/17.54 tff(31415,plain,
% 26.19/17.54 (~v135(constB21)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31414, 31399])).
% 26.19/17.54 tff(31416,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31417,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31418,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB21, constB22)) | v135(constB21) | (~v137(constB22))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31417, 31416])).
% 26.19/17.54 tff(31419,plain,
% 26.19/17.54 (v135(constB21) | (~v137(constB22))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31418, 24262, 2852])).
% 26.19/17.54 tff(31420,plain,
% 26.19/17.54 (~v137(constB22)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31419, 31415])).
% 26.19/17.54 tff(31421,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB22) | (~v138(constB22)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB22) | (~v138(constB22)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31422,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB22) | (~v138(constB22)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31423,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB22) | (~v138(constB22))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31422, 31421])).
% 26.19/17.54 tff(31424,plain,
% 26.19/17.54 (~v138(constB22)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31423, 24277, 31420])).
% 26.19/17.54 tff(31425,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB22)) | (~v141(constB22)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB22)) | (~v141(constB22)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31426,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB22)) | (~v141(constB22)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31427,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB22)) | (~v141(constB22))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31426, 31425])).
% 26.19/17.54 tff(31428,plain,
% 26.19/17.54 (~v141(constB22)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31427, 24291, 3018])).
% 26.19/17.54 tff(31429,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB22) | (~v144(constB22)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB22) | (~v144(constB22)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31430,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB22) | (~v144(constB22)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31431,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB22) | (~v144(constB22))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31430, 31429])).
% 26.19/17.54 tff(31432,plain,
% 26.19/17.54 (~v144(constB22)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31431, 24305, 31428])).
% 26.19/17.54 tff(31433,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB22) | (~v142(constB22)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB22) | (~v142(constB22)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31434,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB22) | (~v142(constB22)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31435,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB22) | (~v142(constB22))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31434, 31433])).
% 26.19/17.54 tff(31436,plain,
% 26.19/17.54 (~v142(constB22)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31435, 2985, 31432])).
% 26.19/17.54 tff(31437,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB22) | v142(constB22) | (~v135(constB22)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB22) | v142(constB22) | (~v135(constB22)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31438,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB22) | v142(constB22) | (~v135(constB22)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31439,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB22) | v142(constB22) | (~v135(constB22))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31438, 31437])).
% 26.19/17.54 tff(31440,plain,
% 26.19/17.54 (v138(constB22) | (~v135(constB22))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31439, 24247, 31436])).
% 26.19/17.54 tff(31441,plain,
% 26.19/17.54 (~v135(constB22)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31440, 31424])).
% 26.19/17.54 tff(31442,plain,
% 26.19/17.54 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31443,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31444,plain,
% 26.19/17.54 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB22, constB23)) | v135(constB22) | (~v137(constB23))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31443, 31442])).
% 26.19/17.54 tff(31445,plain,
% 26.19/17.54 (v135(constB22) | (~v137(constB23))),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31444, 24262, 3235])).
% 26.19/17.54 tff(31446,plain,
% 26.19/17.54 (~v137(constB23)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31445, 31441])).
% 26.19/17.54 tff(31447,plain,
% 26.19/17.54 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB23) | (~v138(constB23)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB23) | (~v138(constB23)))),
% 26.19/17.54 inference(rewrite,[status(thm)],[])).
% 26.19/17.54 tff(31448,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB23) | (~v138(constB23)))),
% 26.19/17.54 inference(quant_inst,[status(thm)],[])).
% 26.19/17.54 tff(31449,plain,
% 26.19/17.54 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB23) | (~v138(constB23))),
% 26.19/17.54 inference(modus_ponens,[status(thm)],[31448, 31447])).
% 26.19/17.54 tff(31450,plain,
% 26.19/17.54 (~v138(constB23)),
% 26.19/17.54 inference(unit_resolution,[status(thm)],[31449, 24277, 31446])).
% 26.19/17.55 tff(31451,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB23)) | (~v84(constB23, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB23)) | (~v84(constB23, bitIndex2)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31452,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB23)) | (~v84(constB23, bitIndex2)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31453,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB23)) | (~v84(constB23, bitIndex2))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31452, 31451])).
% 26.19/17.55 tff(31454,plain,
% 26.19/17.55 (~v145(constB23)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31453, 16179, 3256])).
% 26.19/17.55 tff(31455,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB23) | (~v144(constB23)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB23) | (~v144(constB23)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31456,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB23) | (~v144(constB23)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31457,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB23) | (~v144(constB23))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31456, 31455])).
% 26.19/17.55 tff(31458,plain,
% 26.19/17.55 (~v144(constB23)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31457, 2971, 31454])).
% 26.19/17.55 tff(31459,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB23) | (~v142(constB23)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB23) | (~v142(constB23)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31460,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB23) | (~v142(constB23)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31461,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB23) | (~v142(constB23))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31460, 31459])).
% 26.19/17.55 tff(31462,plain,
% 26.19/17.55 (~v142(constB23)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31461, 2985, 31458])).
% 26.19/17.55 tff(31463,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB23) | v142(constB23) | (~v135(constB23)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB23) | v142(constB23) | (~v135(constB23)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31464,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB23) | v142(constB23) | (~v135(constB23)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31465,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB23) | v142(constB23) | (~v135(constB23))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 26.19/17.55 tff(31466,plain,
% 26.19/17.55 (~v135(constB23)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31465, 24247, 31462, 31450])).
% 26.19/17.55 tff(31467,plain,
% 26.19/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31468,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31469,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB23, constB24)) | v135(constB23) | (~v137(constB24))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31468, 31467])).
% 26.19/17.55 tff(31470,plain,
% 26.19/17.55 (v135(constB23) | (~v137(constB24))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31469, 24262, 3358])).
% 26.19/17.55 tff(31471,plain,
% 26.19/17.55 (~v137(constB24)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31470, 31466])).
% 26.19/17.55 tff(31472,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB24) | (~v138(constB24)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB24) | (~v138(constB24)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31473,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB24) | (~v138(constB24)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31474,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB24) | (~v138(constB24))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31473, 31472])).
% 26.19/17.55 tff(31475,plain,
% 26.19/17.55 (~v138(constB24)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31474, 24277, 31471])).
% 26.19/17.55 tff(31476,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB24)) | (~v141(constB24)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB24)) | (~v141(constB24)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31477,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB24)) | (~v141(constB24)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31478,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB24)) | (~v141(constB24))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31477, 31476])).
% 26.19/17.55 tff(31479,plain,
% 26.19/17.55 (~v141(constB24)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31478, 24291, 3378])).
% 26.19/17.55 tff(31480,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB24) | (~v144(constB24)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB24) | (~v144(constB24)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31481,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB24) | (~v144(constB24)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31482,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB24) | (~v144(constB24))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31481, 31480])).
% 26.19/17.55 tff(31483,plain,
% 26.19/17.55 (~v144(constB24)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31482, 24305, 31479])).
% 26.19/17.55 tff(31484,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB24) | (~v142(constB24)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB24) | (~v142(constB24)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31485,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB24) | (~v142(constB24)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31486,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB24) | (~v142(constB24))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31485, 31484])).
% 26.19/17.55 tff(31487,plain,
% 26.19/17.55 (~v142(constB24)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31486, 2985, 31483])).
% 26.19/17.55 tff(31488,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB24) | v142(constB24) | (~v135(constB24)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB24) | v142(constB24) | (~v135(constB24)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31489,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB24) | v142(constB24) | (~v135(constB24)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31490,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB24) | v142(constB24) | (~v135(constB24))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31489, 31488])).
% 26.19/17.55 tff(31491,plain,
% 26.19/17.55 (v138(constB24) | (~v135(constB24))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31490, 24247, 31487])).
% 26.19/17.55 tff(31492,plain,
% 26.19/17.55 (~v135(constB24)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31491, 31475])).
% 26.19/17.55 tff(31493,plain,
% 26.19/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31494,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31495,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB24, constB25)) | v135(constB24) | (~v137(constB25))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31494, 31493])).
% 26.19/17.55 tff(31496,plain,
% 26.19/17.55 (v135(constB24) | (~v137(constB25))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31495, 24262, 3420])).
% 26.19/17.55 tff(31497,plain,
% 26.19/17.55 (~v137(constB25)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31496, 31492])).
% 26.19/17.55 tff(31498,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB25) | (~v153(constB25)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB25) | (~v153(constB25)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31499,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB25) | (~v153(constB25)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31500,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB25) | (~v153(constB25))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31499, 31498])).
% 26.19/17.55 tff(31501,plain,
% 26.19/17.55 (~v153(constB25)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31500, 24437, 31497])).
% 26.19/17.55 tff(31502,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB25)) | (~v155(constB25)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB25)) | (~v155(constB25)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31503,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB25)) | (~v155(constB25)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31504,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB25)) | (~v155(constB25))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31503, 31502])).
% 26.19/17.55 tff(31505,plain,
% 26.19/17.55 (~v155(constB25)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31504, 24482, 30647])).
% 26.19/17.55 tff(31506,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB25) | v155(constB25) | (~v150(constB25)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB25) | v155(constB25) | (~v150(constB25)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31507,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB25) | v155(constB25) | (~v150(constB25)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31508,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB25) | v155(constB25) | (~v150(constB25))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31507, 31506])).
% 26.19/17.55 tff(31509,plain,
% 26.19/17.55 (v153(constB25) | (~v150(constB25))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31508, 24496, 31505])).
% 26.19/17.55 tff(31510,plain,
% 26.19/17.55 (~v150(constB25)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31509, 31501])).
% 26.19/17.55 tff(31511,plain,
% 26.19/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31512,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31513,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB25, constB26)) | v150(constB25) | (~v152(constB26))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31512, 31511])).
% 26.19/17.55 tff(31514,plain,
% 26.19/17.55 (v150(constB25) | (~v152(constB26))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31513, 24511, 3533])).
% 26.19/17.55 tff(31515,plain,
% 26.19/17.55 (~v152(constB26)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31514, 31510])).
% 26.19/17.55 tff(31516,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB26) | (~v155(constB26)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB26) | (~v155(constB26)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31517,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB26) | (~v155(constB26)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31518,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB26) | (~v155(constB26))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31517, 31516])).
% 26.19/17.55 tff(31519,plain,
% 26.19/17.55 (~v155(constB26)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31518, 24526, 31515])).
% 26.19/17.55 tff(31520,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB26) | (~v154(constB26)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB26) | (~v154(constB26)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31521,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB26) | (~v154(constB26)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31522,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB26) | (~v154(constB26))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31521, 31520])).
% 26.19/17.55 tff(31523,plain,
% 26.19/17.55 (~v154(constB26)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31522, 24544, 30669])).
% 26.19/17.55 tff(31524,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB26) | (~v153(constB26)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB26) | (~v153(constB26)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31525,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB26) | (~v153(constB26)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31526,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB26) | (~v153(constB26))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31525, 31524])).
% 26.19/17.55 tff(31527,plain,
% 26.19/17.55 (~v153(constB26)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31526, 24558, 31523])).
% 26.19/17.55 tff(31528,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB26) | v155(constB26) | (~v150(constB26)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB26) | v155(constB26) | (~v150(constB26)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31529,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB26) | v155(constB26) | (~v150(constB26)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31530,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB26) | v155(constB26) | (~v150(constB26))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31529, 31528])).
% 26.19/17.55 tff(31531,plain,
% 26.19/17.55 (v155(constB26) | (~v150(constB26))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31530, 24496, 31527])).
% 26.19/17.55 tff(31532,plain,
% 26.19/17.55 (~v150(constB26)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31531, 31519])).
% 26.19/17.55 tff(31533,plain,
% 26.19/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31534,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31535,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB26, constB27)) | v150(constB26) | (~v152(constB27))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31534, 31533])).
% 26.19/17.55 tff(31536,plain,
% 26.19/17.55 (v150(constB26) | (~v152(constB27))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31535, 24511, 3622])).
% 26.19/17.55 tff(31537,plain,
% 26.19/17.55 (~v152(constB27)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31536, 31532])).
% 26.19/17.55 tff(31538,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB27) | (~v164(constB27)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB27) | (~v164(constB27)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31539,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB27) | (~v164(constB27)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31540,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB27) | (~v164(constB27))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31539, 31538])).
% 26.19/17.55 tff(31541,plain,
% 26.19/17.55 (~v164(constB27)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31540, 24674, 31537])).
% 26.19/17.55 tff(31542,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB27)) | (~v163(constB27)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB27)) | (~v163(constB27)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31543,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB27)) | (~v163(constB27)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31544,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB27)) | (~v163(constB27))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31543, 31542])).
% 26.19/17.55 tff(31545,plain,
% 26.19/17.55 (~v163(constB27)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31544, 24179, 30722])).
% 26.19/17.55 tff(31546,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB27) | v164(constB27) | (~v160(constB27)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB27) | v164(constB27) | (~v160(constB27)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31547,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB27) | v164(constB27) | (~v160(constB27)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31548,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB27) | v164(constB27) | (~v160(constB27))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31547, 31546])).
% 26.19/17.55 tff(31549,plain,
% 26.19/17.55 (v164(constB27) | (~v160(constB27))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31548, 24688, 31545])).
% 26.19/17.55 tff(31550,plain,
% 26.19/17.55 (~v160(constB27)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31549, 31541])).
% 26.19/17.55 tff(31551,plain,
% 26.19/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31552,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31553,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB27, constB28)) | v160(constB27) | (~v162(constB28))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31552, 31551])).
% 26.19/17.55 tff(31554,plain,
% 26.19/17.55 (v160(constB27) | (~v162(constB28))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31553, 24703, 3763])).
% 26.19/17.55 tff(31555,plain,
% 26.19/17.55 (~v162(constB28)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31554, 31550])).
% 26.19/17.55 tff(31556,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB28) | (~v163(constB28)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB28) | (~v163(constB28)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31557,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB28) | (~v163(constB28)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31558,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB28) | (~v163(constB28))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31557, 31556])).
% 26.19/17.55 tff(31559,plain,
% 26.19/17.55 (~v163(constB28)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31558, 24718, 31555])).
% 26.19/17.55 tff(31560,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB28) | (~v164(constB28)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB28) | (~v164(constB28)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31561,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB28) | (~v164(constB28)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31562,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB28) | (~v164(constB28))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31561, 31560])).
% 26.19/17.55 tff(31563,plain,
% 26.19/17.55 (~v164(constB28)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31562, 24740, 30748])).
% 26.19/17.55 tff(31564,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB28) | v164(constB28) | (~v160(constB28)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB28) | v164(constB28) | (~v160(constB28)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31565,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB28) | v164(constB28) | (~v160(constB28)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31566,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB28) | v164(constB28) | (~v160(constB28))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31565, 31564])).
% 26.19/17.55 tff(31567,plain,
% 26.19/17.55 (v163(constB28) | (~v160(constB28))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31566, 24688, 31563])).
% 26.19/17.55 tff(31568,plain,
% 26.19/17.55 (~v160(constB28)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31567, 31559])).
% 26.19/17.55 tff(31569,plain,
% 26.19/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31570,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31571,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB28, constB29)) | v160(constB28) | (~v162(constB29))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31570, 31569])).
% 26.19/17.55 tff(31572,plain,
% 26.19/17.55 (v160(constB28) | (~v162(constB29))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31571, 24703, 3825])).
% 26.19/17.55 tff(31573,plain,
% 26.19/17.55 (~v162(constB29)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31572, 31568])).
% 26.19/17.55 tff(31574,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31573, 31393])).
% 26.19/17.55 tff(31575,plain,(~(constB29 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31576,assumption,(constB194 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.55 tff(31577,plain,
% 26.19/17.55 (v1(constB194) <=> v1(sK0_VarCurr)),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31576])).
% 26.19/17.55 tff(31578,plain,
% 26.19/17.55 (v1(sK0_VarCurr) <=> v1(constB194)),
% 26.19/17.55 inference(symmetry,[status(thm)],[31577])).
% 26.19/17.55 tff(31579,plain,
% 26.19/17.55 ((~v1(sK0_VarCurr)) <=> (~v1(constB194))),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31578])).
% 26.19/17.55 tff(31580,plain,
% 26.19/17.55 (~v1(constB194)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[25472, 31579])).
% 26.19/17.55 tff(31581,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[30386, 31580])).
% 26.19/17.55 tff(31582,plain,(~(constB194 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31583,assumption,(constB144 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.55 tff(31584,plain,
% 26.19/17.55 (v1(constB144) <=> v1(sK0_VarCurr)),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31583])).
% 26.19/17.55 tff(31585,plain,
% 26.19/17.55 (v1(sK0_VarCurr) <=> v1(constB144)),
% 26.19/17.55 inference(symmetry,[status(thm)],[31584])).
% 26.19/17.55 tff(31586,plain,
% 26.19/17.55 ((~v1(sK0_VarCurr)) <=> (~v1(constB144))),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31585])).
% 26.19/17.55 tff(31587,plain,
% 26.19/17.55 (~v1(constB144)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[25472, 31586])).
% 26.19/17.55 tff(31588,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[16464, 31587])).
% 26.19/17.55 tff(31589,plain,(~(constB144 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31590,assumption,(constB178 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.55 tff(31591,plain,
% 26.19/17.55 (v1(constB178) <=> v1(sK0_VarCurr)),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31590])).
% 26.19/17.55 tff(31592,plain,
% 26.19/17.55 (v1(sK0_VarCurr) <=> v1(constB178)),
% 26.19/17.55 inference(symmetry,[status(thm)],[31591])).
% 26.19/17.55 tff(31593,plain,
% 26.19/17.55 ((~v1(sK0_VarCurr)) <=> (~v1(constB178))),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31592])).
% 26.19/17.55 tff(31594,plain,
% 26.19/17.55 (~v1(constB178)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[25472, 31593])).
% 26.19/17.55 tff(31595,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[21864, 31594])).
% 26.19/17.55 tff(31596,plain,(~(constB178 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31597,assumption,(constB120 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.55 tff(31598,plain,
% 26.19/17.55 (v1(constB120) <=> v1(sK0_VarCurr)),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31597])).
% 26.19/17.55 tff(31599,plain,
% 26.19/17.55 (v1(sK0_VarCurr) <=> v1(constB120)),
% 26.19/17.55 inference(symmetry,[status(thm)],[31598])).
% 26.19/17.55 tff(31600,plain,
% 26.19/17.55 ((~v1(sK0_VarCurr)) <=> (~v1(constB120))),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31599])).
% 26.19/17.55 tff(31601,plain,
% 26.19/17.55 (~v1(constB120)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[25472, 31600])).
% 26.19/17.55 tff(31602,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[13663, 31601])).
% 26.19/17.55 tff(31603,plain,(~(constB120 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31604,assumption,(constB190 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.55 tff(31605,plain,
% 26.19/17.55 (v1(constB190) <=> v1(sK0_VarCurr)),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31604])).
% 26.19/17.55 tff(31606,plain,
% 26.19/17.55 (v1(sK0_VarCurr) <=> v1(constB190)),
% 26.19/17.55 inference(symmetry,[status(thm)],[31605])).
% 26.19/17.55 tff(31607,plain,
% 26.19/17.55 ((~v1(sK0_VarCurr)) <=> (~v1(constB190))),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31606])).
% 26.19/17.55 tff(31608,plain,
% 26.19/17.55 (~v1(constB190)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[25472, 31607])).
% 26.19/17.55 tff(31609,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[30019, 31608])).
% 26.19/17.55 tff(31610,plain,(~(constB190 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31611,assumption,(constB64 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.55 tff(31612,plain,
% 26.19/17.55 (v1(constB64) <=> v1(sK0_VarCurr)),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31611])).
% 26.19/17.55 tff(31613,plain,
% 26.19/17.55 (v1(sK0_VarCurr) <=> v1(constB64)),
% 26.19/17.55 inference(symmetry,[status(thm)],[31612])).
% 26.19/17.55 tff(31614,plain,
% 26.19/17.55 ((~v1(sK0_VarCurr)) <=> (~v1(constB64))),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31613])).
% 26.19/17.55 tff(31615,plain,
% 26.19/17.55 (~v1(constB64)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[25472, 31614])).
% 26.19/17.55 tff(31616,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[7671, 31615])).
% 26.19/17.55 tff(31617,plain,(~(constB64 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31618,assumption,(constB24 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.55 tff(31619,plain,
% 26.19/17.55 (v1(constB24) <=> v1(sK0_VarCurr)),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31618])).
% 26.19/17.55 tff(31620,plain,
% 26.19/17.55 (v1(sK0_VarCurr) <=> v1(constB24)),
% 26.19/17.55 inference(symmetry,[status(thm)],[31619])).
% 26.19/17.55 tff(31621,plain,
% 26.19/17.55 ((~v1(sK0_VarCurr)) <=> (~v1(constB24))),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31620])).
% 26.19/17.55 tff(31622,plain,
% 26.19/17.55 (~v1(constB24)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[25472, 31621])).
% 26.19/17.55 tff(31623,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[3378, 31622])).
% 26.19/17.55 tff(31624,plain,(~(constB24 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31625,assumption,(constB73 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.55 tff(31626,plain,
% 26.19/17.55 (v162(constB73) <=> v162(sK0_VarCurr)),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31625])).
% 26.19/17.55 tff(31627,plain,
% 26.19/17.55 (v162(sK0_VarCurr) <=> v162(constB73)),
% 26.19/17.55 inference(symmetry,[status(thm)],[31626])).
% 26.19/17.55 tff(31628,plain,
% 26.19/17.55 (v162(constB73)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[24130, 31627])).
% 26.19/17.55 tff(31629,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB67)) | (~v84(constB67, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB67)) | (~v84(constB67, bitIndex1)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31630,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB67)) | (~v84(constB67, bitIndex1)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31631,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB67)) | (~v84(constB67, bitIndex1))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31630, 31629])).
% 26.19/17.55 tff(31632,plain,
% 26.19/17.55 (~v145(constB67)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31631, 2018, 7965])).
% 26.19/17.55 tff(31633,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB67) | (~v144(constB67)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB67) | (~v144(constB67)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31634,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB67) | (~v144(constB67)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31635,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB67) | (~v144(constB67))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31634, 31633])).
% 26.19/17.55 tff(31636,plain,
% 26.19/17.55 (~v144(constB67)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31635, 2971, 31632])).
% 26.19/17.55 tff(31637,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB67) | (~v142(constB67)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB67) | (~v142(constB67)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31638,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB67) | (~v142(constB67)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31639,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB67) | (~v142(constB67))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31638, 31637])).
% 26.19/17.55 tff(31640,plain,
% 26.19/17.55 (~v142(constB67)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31639, 2985, 31636])).
% 26.19/17.55 tff(31641,assumption,(v18(constB68)), introduced(assumption)).
% 26.19/17.55 tff(31642,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB68))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31643,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31642, 3012, 31641])).
% 26.19/17.55 tff(31644,plain,(~v18(constB68)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31645,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31646,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB68) | (~v1(constB68)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31647,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB68) | (~v1(constB68))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31646, 31645])).
% 26.19/17.55 tff(31648,plain,
% 26.19/17.55 (v22(constB68)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31647, 3028, 8061])).
% 26.19/17.55 tff(31649,plain,
% 26.19/17.55 (((~![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)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31650,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB68) | (~v22(constB68)) | (~v19(constB68)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31651,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB68) | (~v22(constB68)) | (~v19(constB68))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31650, 31649])).
% 26.19/17.55 tff(31652,plain,
% 26.19/17.55 (v18(constB68) | (~v19(constB68))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31651, 3042, 31648])).
% 26.19/17.55 tff(31653,plain,
% 26.19/17.55 (~v19(constB68)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31652, 31644])).
% 26.19/17.55 tff(31654,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31655,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB68) | v19(constB68))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31656,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB68) | v19(constB68)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31655, 31654])).
% 26.19/17.55 tff(31657,plain,
% 26.19/17.55 (v13(constB68)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31656, 3054, 31653])).
% 26.19/17.55 tff(31658,plain,
% 26.19/17.55 (((~![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)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31659,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31660,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB67) | (~v13(constB68)) | (~nextState(constB67, constB68))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31659, 31658])).
% 26.19/17.55 tff(31661,plain,
% 26.19/17.55 (v9(constB67) | (~v13(constB68))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31660, 3068, 8041])).
% 26.19/17.55 tff(31662,plain,
% 26.19/17.55 (v9(constB67)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31661, 31657])).
% 26.19/17.55 tff(31663,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v141(constB67))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB67) | (~v9(constB67)) | v141(constB67))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31664,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB67) | (~v9(constB67)) | v141(constB67))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31665,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB67) | (~v9(constB67)) | v141(constB67)),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31664, 31663])).
% 26.19/17.55 tff(31666,plain,
% 26.19/17.55 ((~v9(constB67)) | v141(constB67)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31665, 3083, 7910])).
% 26.19/17.55 tff(31667,plain,
% 26.19/17.55 (v141(constB67)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31666, 31662])).
% 26.19/17.55 tff(31668,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB67) | (~v141(constB67)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB67) | (~v141(constB67)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31669,plain,
% 26.19/17.55 (((~v141(constB67)) | v140(constB67)) <=> (v140(constB67) | (~v141(constB67)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31670,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB67)) | v140(constB67))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB67) | (~v141(constB67))))),
% 26.19/17.55 inference(monotonicity,[status(thm)],[31669])).
% 26.19/17.55 tff(31671,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB67)) | v140(constB67))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB67) | (~v141(constB67)))),
% 26.19/17.55 inference(transitivity,[status(thm)],[31670, 31668])).
% 26.19/17.55 tff(31672,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB67)) | v140(constB67))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31673,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB67) | (~v141(constB67))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31672, 31671])).
% 26.19/17.55 tff(31674,plain,
% 26.19/17.55 (v140(constB67)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31673, 24165, 31667])).
% 26.19/17.55 tff(31675,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB67)) | (~v140(constB67)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB67)) | (~v140(constB67)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31676,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB67)) | (~v140(constB67)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31677,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB67)) | (~v140(constB67))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31676, 31675])).
% 26.19/17.55 tff(31678,plain,
% 26.19/17.55 (~v138(constB67)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31677, 24221, 31674])).
% 26.19/17.55 tff(31679,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB67) | v142(constB67) | (~v135(constB67)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB67) | v142(constB67) | (~v135(constB67)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31680,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB67) | v142(constB67) | (~v135(constB67)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31681,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB67) | v142(constB67) | (~v135(constB67))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31680, 31679])).
% 26.19/17.55 tff(31682,plain,
% 26.19/17.55 (v142(constB67) | (~v135(constB67))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31681, 24247, 31678])).
% 26.19/17.55 tff(31683,plain,
% 26.19/17.55 (~v135(constB67)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31682, 31640])).
% 26.19/17.55 tff(31684,plain,
% 26.19/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB67, constB68)) | v135(constB67) | (~v137(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB67, constB68)) | v135(constB67) | (~v137(constB68)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31685,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB67, constB68)) | v135(constB67) | (~v137(constB68)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31686,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB67, constB68)) | v135(constB67) | (~v137(constB68))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31685, 31684])).
% 26.19/17.55 tff(31687,plain,
% 26.19/17.55 (v135(constB67) | (~v137(constB68))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31686, 24262, 8041])).
% 26.19/17.55 tff(31688,plain,
% 26.19/17.55 (~v137(constB68)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31687, 31683])).
% 26.19/17.55 tff(31689,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB68) | (~v138(constB68)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB68) | (~v138(constB68)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31690,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB68) | (~v138(constB68)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31691,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB68) | (~v138(constB68))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31690, 31689])).
% 26.19/17.55 tff(31692,plain,
% 26.19/17.55 (~v138(constB68)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31691, 24277, 31688])).
% 26.19/17.55 tff(31693,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB68)) | (~v141(constB68)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB68)) | (~v141(constB68)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31694,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB68)) | (~v141(constB68)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31695,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB68)) | (~v141(constB68))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31694, 31693])).
% 26.19/17.55 tff(31696,plain,
% 26.19/17.55 (~v141(constB68)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31695, 24291, 8061])).
% 26.19/17.55 tff(31697,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB68) | (~v144(constB68)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB68) | (~v144(constB68)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31698,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB68) | (~v144(constB68)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31699,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB68) | (~v144(constB68))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31698, 31697])).
% 26.19/17.55 tff(31700,plain,
% 26.19/17.55 (~v144(constB68)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31699, 24305, 31696])).
% 26.19/17.55 tff(31701,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB68) | (~v142(constB68)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB68) | (~v142(constB68)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31702,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB68) | (~v142(constB68)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31703,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB68) | (~v142(constB68))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 26.19/17.55 tff(31704,plain,
% 26.19/17.55 (~v142(constB68)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31703, 2985, 31700])).
% 26.19/17.55 tff(31705,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB68) | v142(constB68) | (~v135(constB68)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB68) | v142(constB68) | (~v135(constB68)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31706,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB68) | v142(constB68) | (~v135(constB68)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31707,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB68) | v142(constB68) | (~v135(constB68))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 26.19/17.55 tff(31708,plain,
% 26.19/17.55 (v138(constB68) | (~v135(constB68))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31707, 24247, 31704])).
% 26.19/17.55 tff(31709,plain,
% 26.19/17.55 (~v135(constB68)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31708, 31692])).
% 26.19/17.55 tff(31710,plain,
% 26.19/17.55 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB68, constB69)) | v135(constB68) | (~v137(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB68, constB69)) | v135(constB68) | (~v137(constB69)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31711,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB68, constB69)) | v135(constB68) | (~v137(constB69)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31712,plain,
% 26.19/17.55 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB68, constB69)) | v135(constB68) | (~v137(constB69))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31711, 31710])).
% 26.19/17.55 tff(31713,plain,
% 26.19/17.55 (v135(constB68) | (~v137(constB69))),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31712, 24262, 8103])).
% 26.19/17.55 tff(31714,plain,
% 26.19/17.55 (~v137(constB69)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31713, 31709])).
% 26.19/17.55 tff(31715,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB69) | (~v153(constB69)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB69) | (~v153(constB69)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31716,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB69) | (~v153(constB69)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31717,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB69) | (~v153(constB69))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31716, 31715])).
% 26.19/17.55 tff(31718,plain,
% 26.19/17.55 (~v153(constB69)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31717, 24437, 31714])).
% 26.19/17.55 tff(31719,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB65)) | (~v84(constB65, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB65)) | (~v84(constB65, bitIndex1)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31720,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB65)) | (~v84(constB65, bitIndex1)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31721,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB65)) | (~v84(constB65, bitIndex1))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31720, 31719])).
% 26.19/17.55 tff(31722,plain,
% 26.19/17.55 (~v145(constB65)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31721, 2018, 7765])).
% 26.19/17.55 tff(31723,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB65) | (~v144(constB65)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB65) | (~v144(constB65)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31724,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB65) | (~v144(constB65)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31725,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB65) | (~v144(constB65))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31724, 31723])).
% 26.19/17.55 tff(31726,plain,
% 26.19/17.55 (~v144(constB65)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31725, 2971, 31722])).
% 26.19/17.55 tff(31727,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB65) | (~v142(constB65)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB65) | (~v142(constB65)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31728,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB65) | (~v142(constB65)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31729,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB65) | (~v142(constB65))),
% 26.19/17.55 inference(modus_ponens,[status(thm)],[31728, 31727])).
% 26.19/17.55 tff(31730,plain,
% 26.19/17.55 (~v142(constB65)),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31729, 2985, 31726])).
% 26.19/17.55 tff(31731,assumption,(v18(constB66)), introduced(assumption)).
% 26.19/17.55 tff(31732,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB66))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31733,plain,
% 26.19/17.55 ($false),
% 26.19/17.55 inference(unit_resolution,[status(thm)],[31732, 3012, 31731])).
% 26.19/17.55 tff(31734,plain,(~v18(constB66)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.55 tff(31735,plain,
% 26.19/17.55 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66)))),
% 26.19/17.55 inference(rewrite,[status(thm)],[])).
% 26.19/17.55 tff(31736,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB66) | (~v1(constB66)))),
% 26.19/17.55 inference(quant_inst,[status(thm)],[])).
% 26.19/17.55 tff(31737,plain,
% 26.19/17.55 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB66) | (~v1(constB66))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31736, 31735])).
% 26.19/17.56 tff(31738,plain,
% 26.19/17.56 (v22(constB66)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31737, 3028, 7871])).
% 26.19/17.56 tff(31739,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31740,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB66) | (~v22(constB66)) | (~v19(constB66)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31741,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB66) | (~v22(constB66)) | (~v19(constB66))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31740, 31739])).
% 26.19/17.56 tff(31742,plain,
% 26.19/17.56 (v18(constB66) | (~v19(constB66))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31741, 3042, 31738])).
% 26.19/17.56 tff(31743,plain,
% 26.19/17.56 (~v19(constB66)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31742, 31734])).
% 26.19/17.56 tff(31744,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31745,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB66) | v19(constB66))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31746,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB66) | v19(constB66)),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31745, 31744])).
% 26.19/17.56 tff(31747,plain,
% 26.19/17.56 (v13(constB66)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31746, 3054, 31743])).
% 26.19/17.56 tff(31748,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31749,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31750,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB65) | (~v13(constB66)) | (~nextState(constB65, constB66))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31749, 31748])).
% 26.19/17.56 tff(31751,plain,
% 26.19/17.56 (v9(constB65) | (~v13(constB66))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31750, 3068, 7851])).
% 26.19/17.56 tff(31752,plain,
% 26.19/17.56 (v9(constB65)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31751, 31747])).
% 26.19/17.56 tff(31753,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v141(constB65))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB65) | (~v9(constB65)) | v141(constB65))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31754,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB65) | (~v9(constB65)) | v141(constB65))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31755,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB65) | (~v9(constB65)) | v141(constB65)),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31754, 31753])).
% 26.19/17.56 tff(31756,plain,
% 26.19/17.56 ((~v9(constB65)) | v141(constB65)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31755, 3083, 7710])).
% 26.19/17.56 tff(31757,plain,
% 26.19/17.56 (v141(constB65)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31756, 31752])).
% 26.19/17.56 tff(31758,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB65)) | v140(constB65))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB65)) | v140(constB65))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31759,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB65)) | v140(constB65))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31760,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB65)) | v140(constB65)),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31759, 31758])).
% 26.19/17.56 tff(31761,plain,
% 26.19/17.56 (v140(constB65)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31760, 24165, 31757])).
% 26.19/17.56 tff(31762,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB65)) | (~v140(constB65)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB65)) | (~v140(constB65)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31763,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB65)) | (~v140(constB65)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31764,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB65)) | (~v140(constB65))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 26.19/17.56 tff(31765,plain,
% 26.19/17.56 (~v138(constB65)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31764, 24221, 31761])).
% 26.19/17.56 tff(31766,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB65) | v142(constB65) | (~v135(constB65)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB65) | v142(constB65) | (~v135(constB65)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31767,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB65) | v142(constB65) | (~v135(constB65)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31768,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB65) | v142(constB65) | (~v135(constB65))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31767, 31766])).
% 26.19/17.56 tff(31769,plain,
% 26.19/17.56 (v142(constB65) | (~v135(constB65))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31768, 24247, 31765])).
% 26.19/17.56 tff(31770,plain,
% 26.19/17.56 (~v135(constB65)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31769, 31730])).
% 26.19/17.56 tff(31771,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31772,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31773,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB65, constB66)) | v135(constB65) | (~v137(constB66))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31772, 31771])).
% 26.19/17.56 tff(31774,plain,
% 26.19/17.56 (v135(constB65) | (~v137(constB66))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31773, 24262, 7851])).
% 26.19/17.56 tff(31775,plain,
% 26.19/17.56 (~v137(constB66)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31774, 31770])).
% 26.19/17.56 tff(31776,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB66) | (~v138(constB66)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB66) | (~v138(constB66)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31777,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB66) | (~v138(constB66)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31778,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB66) | (~v138(constB66))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31777, 31776])).
% 26.19/17.56 tff(31779,plain,
% 26.19/17.56 (~v138(constB66)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31778, 24277, 31775])).
% 26.19/17.56 tff(31780,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB66)) | (~v141(constB66)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB66)) | (~v141(constB66)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31781,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB66)) | (~v141(constB66)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31782,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB66)) | (~v141(constB66))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31781, 31780])).
% 26.19/17.56 tff(31783,plain,
% 26.19/17.56 (~v141(constB66)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31782, 24291, 7871])).
% 26.19/17.56 tff(31784,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB66) | (~v144(constB66)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB66) | (~v144(constB66)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31785,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB66) | (~v144(constB66)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31786,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB66) | (~v144(constB66))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31785, 31784])).
% 26.19/17.56 tff(31787,plain,
% 26.19/17.56 (~v144(constB66)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31786, 24305, 31783])).
% 26.19/17.56 tff(31788,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB66) | (~v142(constB66)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB66) | (~v142(constB66)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31789,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB66) | (~v142(constB66)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31790,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB66) | (~v142(constB66))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31789, 31788])).
% 26.19/17.56 tff(31791,plain,
% 26.19/17.56 (~v142(constB66)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31790, 2985, 31787])).
% 26.19/17.56 tff(31792,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB66) | v142(constB66) | (~v135(constB66)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB66) | v142(constB66) | (~v135(constB66)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31793,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB66) | v142(constB66) | (~v135(constB66)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31794,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB66) | v142(constB66) | (~v135(constB66))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31793, 31792])).
% 26.19/17.56 tff(31795,plain,
% 26.19/17.56 (v138(constB66) | (~v135(constB66))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31794, 24247, 31791])).
% 26.19/17.56 tff(31796,plain,
% 26.19/17.56 (~v135(constB66)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31795, 31779])).
% 26.19/17.56 tff(31797,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31798,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31799,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB66, constB67)) | v135(constB66) | (~v137(constB67))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31798, 31797])).
% 26.19/17.56 tff(31800,plain,
% 26.19/17.56 (v135(constB66) | (~v137(constB67))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31799, 24262, 7913])).
% 26.19/17.56 tff(31801,plain,
% 26.19/17.56 (~v137(constB67)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31800, 31796])).
% 26.19/17.56 tff(31802,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB67) | (~v153(constB67)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB67) | (~v153(constB67)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31803,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB67) | (~v153(constB67)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31804,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB67) | (~v153(constB67))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31803, 31802])).
% 26.19/17.56 tff(31805,plain,
% 26.19/17.56 (~v153(constB67)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31804, 24437, 31801])).
% 26.19/17.56 tff(31806,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB67)) | (~v155(constB67)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB67)) | (~v155(constB67)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31807,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB67)) | (~v155(constB67)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31808,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB67)) | (~v155(constB67))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31807, 31806])).
% 26.19/17.56 tff(31809,plain,
% 26.19/17.56 (~v155(constB67)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31808, 24482, 31674])).
% 26.19/17.56 tff(31810,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB67) | v155(constB67) | (~v150(constB67)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB67) | v155(constB67) | (~v150(constB67)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31811,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB67) | v155(constB67) | (~v150(constB67)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31812,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB67) | v155(constB67) | (~v150(constB67))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31811, 31810])).
% 26.19/17.56 tff(31813,plain,
% 26.19/17.56 (v153(constB67) | (~v150(constB67))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31812, 24496, 31809])).
% 26.19/17.56 tff(31814,plain,
% 26.19/17.56 (~v150(constB67)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31813, 31805])).
% 26.19/17.56 tff(31815,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31816,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31817,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB67, constB68)) | v150(constB67) | (~v152(constB68))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31816, 31815])).
% 26.19/17.56 tff(31818,plain,
% 26.19/17.56 (v150(constB67) | (~v152(constB68))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31817, 24511, 8041])).
% 26.19/17.56 tff(31819,plain,
% 26.19/17.56 (~v152(constB68)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31818, 31814])).
% 26.19/17.56 tff(31820,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB68) | (~v155(constB68)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB68) | (~v155(constB68)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31821,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB68) | (~v155(constB68)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31822,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB68) | (~v155(constB68))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31821, 31820])).
% 26.19/17.56 tff(31823,plain,
% 26.19/17.56 (~v155(constB68)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31822, 24526, 31819])).
% 26.19/17.56 tff(31824,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB68) | (~v154(constB68)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB68) | (~v154(constB68)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31825,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB68) | (~v154(constB68)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31826,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB68) | (~v154(constB68))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31825, 31824])).
% 26.19/17.56 tff(31827,plain,
% 26.19/17.56 (~v154(constB68)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31826, 24544, 31696])).
% 26.19/17.56 tff(31828,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB68) | (~v153(constB68)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB68) | (~v153(constB68)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31829,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB68) | (~v153(constB68)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31830,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB68) | (~v153(constB68))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31829, 31828])).
% 26.19/17.56 tff(31831,plain,
% 26.19/17.56 (~v153(constB68)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31830, 24558, 31827])).
% 26.19/17.56 tff(31832,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB68) | v155(constB68) | (~v150(constB68)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB68) | v155(constB68) | (~v150(constB68)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31833,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB68) | v155(constB68) | (~v150(constB68)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31834,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB68) | v155(constB68) | (~v150(constB68))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31833, 31832])).
% 26.19/17.56 tff(31835,plain,
% 26.19/17.56 (v155(constB68) | (~v150(constB68))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31834, 24496, 31831])).
% 26.19/17.56 tff(31836,plain,
% 26.19/17.56 (~v150(constB68)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31835, 31823])).
% 26.19/17.56 tff(31837,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31838,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31839,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB68, constB69)) | v150(constB68) | (~v152(constB69))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31838, 31837])).
% 26.19/17.56 tff(31840,plain,
% 26.19/17.56 (v150(constB68) | (~v152(constB69))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31839, 24511, 8103])).
% 26.19/17.56 tff(31841,plain,
% 26.19/17.56 (~v152(constB69)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31840, 31836])).
% 26.19/17.56 tff(31842,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB69) | (~v155(constB69)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB69) | (~v155(constB69)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31843,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB69) | (~v155(constB69)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31844,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB69) | (~v155(constB69))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31843, 31842])).
% 26.19/17.56 tff(31845,plain,
% 26.19/17.56 (~v155(constB69)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31844, 24526, 31841])).
% 26.19/17.56 tff(31846,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB69) | v155(constB69) | (~v150(constB69)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB69) | v155(constB69) | (~v150(constB69)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31847,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB69) | v155(constB69) | (~v150(constB69)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31848,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB69) | v155(constB69) | (~v150(constB69))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31847, 31846])).
% 26.19/17.56 tff(31849,plain,
% 26.19/17.56 (v153(constB69) | (~v150(constB69))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31848, 24496, 31845])).
% 26.19/17.56 tff(31850,plain,
% 26.19/17.56 (~v150(constB69)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31849, 31718])).
% 26.19/17.56 tff(31851,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB69, constB70)) | v150(constB69) | (~v152(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB69, constB70)) | v150(constB69) | (~v152(constB70)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31852,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB69, constB70)) | v150(constB69) | (~v152(constB70)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31853,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB69, constB70)) | v150(constB69) | (~v152(constB70))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31852, 31851])).
% 26.19/17.56 tff(31854,plain,
% 26.19/17.56 (v150(constB69) | (~v152(constB70))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31853, 24511, 8237])).
% 26.19/17.56 tff(31855,plain,
% 26.19/17.56 (~v152(constB70)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31854, 31850])).
% 26.19/17.56 tff(31856,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB70) | (~v155(constB70)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB70) | (~v155(constB70)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31857,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB70) | (~v155(constB70)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31858,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB70) | (~v155(constB70))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31857, 31856])).
% 26.19/17.56 tff(31859,plain,
% 26.19/17.56 (~v155(constB70)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31858, 24526, 31855])).
% 26.19/17.56 tff(31860,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB70)) | (~v141(constB70)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB70)) | (~v141(constB70)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31861,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB70)) | (~v141(constB70)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31862,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB70)) | (~v141(constB70))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31861, 31860])).
% 26.19/17.56 tff(31863,plain,
% 26.19/17.56 (~v141(constB70)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31862, 24291, 8257])).
% 26.19/17.56 tff(31864,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB70) | (~v154(constB70)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB70) | (~v154(constB70)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31865,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB70) | (~v154(constB70)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31866,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB70) | (~v154(constB70))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31865, 31864])).
% 26.19/17.56 tff(31867,plain,
% 26.19/17.56 (~v154(constB70)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31866, 24544, 31863])).
% 26.19/17.56 tff(31868,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB70) | (~v153(constB70)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB70) | (~v153(constB70)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31869,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB70) | (~v153(constB70)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31870,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB70) | (~v153(constB70))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31869, 31868])).
% 26.19/17.56 tff(31871,plain,
% 26.19/17.56 (~v153(constB70)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31870, 24558, 31867])).
% 26.19/17.56 tff(31872,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB70) | v155(constB70) | (~v150(constB70)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB70) | v155(constB70) | (~v150(constB70)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31873,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB70) | v155(constB70) | (~v150(constB70)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31874,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB70) | v155(constB70) | (~v150(constB70))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31873, 31872])).
% 26.19/17.56 tff(31875,plain,
% 26.19/17.56 (v155(constB70) | (~v150(constB70))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31874, 24496, 31871])).
% 26.19/17.56 tff(31876,plain,
% 26.19/17.56 (~v150(constB70)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31875, 31859])).
% 26.19/17.56 tff(31877,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB70, constB71)) | v150(constB70) | (~v152(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB70, constB71)) | v150(constB70) | (~v152(constB71)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31878,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB70, constB71)) | v150(constB70) | (~v152(constB71)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31879,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB70, constB71)) | v150(constB70) | (~v152(constB71))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31878, 31877])).
% 26.19/17.56 tff(31880,plain,
% 26.19/17.56 (v150(constB70) | (~v152(constB71))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31879, 24511, 8303])).
% 26.19/17.56 tff(31881,plain,
% 26.19/17.56 (~v152(constB71)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31880, 31876])).
% 26.19/17.56 tff(31882,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB71) | (~v164(constB71)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB71) | (~v164(constB71)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31883,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB71) | (~v164(constB71)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31884,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB71) | (~v164(constB71))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31883, 31882])).
% 26.19/17.56 tff(31885,plain,
% 26.19/17.56 (~v164(constB71)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31884, 24674, 31881])).
% 26.19/17.56 tff(31886,assumption,(v18(constB72)), introduced(assumption)).
% 26.19/17.56 tff(31887,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB72))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31888,plain,
% 26.19/17.56 ($false),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31887, 3012, 31886])).
% 26.19/17.56 tff(31889,plain,(~v18(constB72)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.56 tff(31890,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31891,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB72) | (~v1(constB72)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31892,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB72) | (~v1(constB72))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31891, 31890])).
% 26.19/17.56 tff(31893,plain,
% 26.19/17.56 (v22(constB72)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31892, 3028, 8462])).
% 26.19/17.56 tff(31894,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB72) | (~v22(constB72)) | (~v19(constB72)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB72) | (~v22(constB72)) | (~v19(constB72)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31895,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB72) | (~v22(constB72)) | (~v19(constB72)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31896,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB72) | (~v22(constB72)) | (~v19(constB72))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31895, 31894])).
% 26.19/17.56 tff(31897,plain,
% 26.19/17.56 (v18(constB72) | (~v19(constB72))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31896, 3042, 31893])).
% 26.19/17.56 tff(31898,plain,
% 26.19/17.56 (~v19(constB72)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31897, 31889])).
% 26.19/17.56 tff(31899,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31900,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB72) | v19(constB72))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31901,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB72) | v19(constB72)),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31900, 31899])).
% 26.19/17.56 tff(31902,plain,
% 26.19/17.56 (v13(constB72)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31901, 3054, 31898])).
% 26.19/17.56 tff(31903,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31904,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31905,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB71) | (~v13(constB72)) | (~nextState(constB71, constB72))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31904, 31903])).
% 26.19/17.56 tff(31906,plain,
% 26.19/17.56 (v9(constB71) | (~v13(constB72))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31905, 3068, 8442])).
% 26.19/17.56 tff(31907,plain,
% 26.19/17.56 (v9(constB71)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31906, 31902])).
% 26.19/17.56 tff(31908,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v141(constB71))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB71) | (~v9(constB71)) | v141(constB71))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31909,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB71) | (~v9(constB71)) | v141(constB71))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31910,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB71) | (~v9(constB71)) | v141(constB71)),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31909, 31908])).
% 26.19/17.56 tff(31911,plain,
% 26.19/17.56 ((~v9(constB71)) | v141(constB71)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31910, 3083, 8300])).
% 26.19/17.56 tff(31912,plain,
% 26.19/17.56 (v141(constB71)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31911, 31907])).
% 26.19/17.56 tff(31913,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB71) | (~v141(constB71)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB71) | (~v141(constB71)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31914,plain,
% 26.19/17.56 (((~v141(constB71)) | v140(constB71)) <=> (v140(constB71) | (~v141(constB71)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31915,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB71)) | v140(constB71))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB71) | (~v141(constB71))))),
% 26.19/17.56 inference(monotonicity,[status(thm)],[31914])).
% 26.19/17.56 tff(31916,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB71)) | v140(constB71))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB71) | (~v141(constB71)))),
% 26.19/17.56 inference(transitivity,[status(thm)],[31915, 31913])).
% 26.19/17.56 tff(31917,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB71)) | v140(constB71))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31918,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB71) | (~v141(constB71))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31917, 31916])).
% 26.19/17.56 tff(31919,plain,
% 26.19/17.56 (v140(constB71)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31918, 24165, 31912])).
% 26.19/17.56 tff(31920,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB71)) | (~v163(constB71)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB71)) | (~v163(constB71)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31921,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB71)) | (~v163(constB71)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31922,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB71)) | (~v163(constB71))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31921, 31920])).
% 26.19/17.56 tff(31923,plain,
% 26.19/17.56 (~v163(constB71)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31922, 24179, 31919])).
% 26.19/17.56 tff(31924,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB71) | v164(constB71) | (~v160(constB71)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB71) | v164(constB71) | (~v160(constB71)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31925,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB71) | v164(constB71) | (~v160(constB71)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31926,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB71) | v164(constB71) | (~v160(constB71))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31925, 31924])).
% 26.19/17.56 tff(31927,plain,
% 26.19/17.56 (v164(constB71) | (~v160(constB71))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31926, 24688, 31923])).
% 26.19/17.56 tff(31928,plain,
% 26.19/17.56 (~v160(constB71)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31927, 31885])).
% 26.19/17.56 tff(31929,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB71, constB72)) | v160(constB71) | (~v162(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB71, constB72)) | v160(constB71) | (~v162(constB72)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31930,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB71, constB72)) | v160(constB71) | (~v162(constB72)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31931,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB71, constB72)) | v160(constB71) | (~v162(constB72))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31930, 31929])).
% 26.19/17.56 tff(31932,plain,
% 26.19/17.56 (v160(constB71) | (~v162(constB72))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31931, 24703, 8442])).
% 26.19/17.56 tff(31933,plain,
% 26.19/17.56 (~v162(constB72)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31932, 31928])).
% 26.19/17.56 tff(31934,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB72) | (~v163(constB72)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB72) | (~v163(constB72)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31935,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB72) | (~v163(constB72)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31936,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB72) | (~v163(constB72))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31935, 31934])).
% 26.19/17.56 tff(31937,plain,
% 26.19/17.56 (~v163(constB72)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31936, 24718, 31933])).
% 26.19/17.56 tff(31938,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB72)) | (~v141(constB72)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB72)) | (~v141(constB72)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31939,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB72)) | (~v141(constB72)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31940,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB72)) | (~v141(constB72))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31939, 31938])).
% 26.19/17.56 tff(31941,plain,
% 26.19/17.56 (~v141(constB72)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31940, 24291, 8462])).
% 26.19/17.56 tff(31942,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB72) | (~v154(constB72)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB72) | (~v154(constB72)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31943,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB72) | (~v154(constB72)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31944,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB72) | (~v154(constB72))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31943, 31942])).
% 26.19/17.56 tff(31945,plain,
% 26.19/17.56 (~v154(constB72)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31944, 24544, 31941])).
% 26.19/17.56 tff(31946,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB72) | (~v164(constB72)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB72) | (~v164(constB72)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31947,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB72) | (~v164(constB72)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31948,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB72) | (~v164(constB72))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31947, 31946])).
% 26.19/17.56 tff(31949,plain,
% 26.19/17.56 (~v164(constB72)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31948, 24740, 31945])).
% 26.19/17.56 tff(31950,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB72) | v164(constB72) | (~v160(constB72)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB72) | v164(constB72) | (~v160(constB72)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31951,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB72) | v164(constB72) | (~v160(constB72)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31952,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB72) | v164(constB72) | (~v160(constB72))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31951, 31950])).
% 26.19/17.56 tff(31953,plain,
% 26.19/17.56 (v163(constB72) | (~v160(constB72))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31952, 24688, 31949])).
% 26.19/17.56 tff(31954,plain,
% 26.19/17.56 (~v160(constB72)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31953, 31937])).
% 26.19/17.56 tff(31955,plain,
% 26.19/17.56 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB72, constB73)) | v160(constB72) | (~v162(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB72, constB73)) | v160(constB72) | (~v162(constB73)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31956,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB72, constB73)) | v160(constB72) | (~v162(constB73)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31957,plain,
% 26.19/17.56 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB72, constB73)) | v160(constB72) | (~v162(constB73))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31956, 31955])).
% 26.19/17.56 tff(31958,plain,
% 26.19/17.56 (v160(constB72) | (~v162(constB73))),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31957, 24703, 8504])).
% 26.19/17.56 tff(31959,plain,
% 26.19/17.56 (~v162(constB73)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31958, 31954])).
% 26.19/17.56 tff(31960,plain,
% 26.19/17.56 ($false),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31959, 31628])).
% 26.19/17.56 tff(31961,plain,(~(constB73 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.56 tff(31962,assumption,(constB51 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.56 tff(31963,plain,
% 26.19/17.56 (v162(constB51) <=> v162(sK0_VarCurr)),
% 26.19/17.56 inference(monotonicity,[status(thm)],[31962])).
% 26.19/17.56 tff(31964,plain,
% 26.19/17.56 (v162(sK0_VarCurr) <=> v162(constB51)),
% 26.19/17.56 inference(symmetry,[status(thm)],[31963])).
% 26.19/17.56 tff(31965,plain,
% 26.19/17.56 (v162(constB51)),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[24130, 31964])).
% 26.19/17.56 tff(31966,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB45)) | (~v84(constB45, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB45)) | (~v84(constB45, bitIndex2)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31967,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB45)) | (~v84(constB45, bitIndex2)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31968,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB45)) | (~v84(constB45, bitIndex2))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31967, 31966])).
% 26.19/17.56 tff(31969,plain,
% 26.19/17.56 (~v145(constB45)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31968, 16179, 5622])).
% 26.19/17.56 tff(31970,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB45) | (~v144(constB45)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB45) | (~v144(constB45)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31971,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB45) | (~v144(constB45)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31972,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB45) | (~v144(constB45))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31971, 31970])).
% 26.19/17.56 tff(31973,plain,
% 26.19/17.56 (~v144(constB45)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31972, 2971, 31969])).
% 26.19/17.56 tff(31974,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB45) | (~v142(constB45)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB45) | (~v142(constB45)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31975,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB45) | (~v142(constB45)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31976,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB45) | (~v142(constB45))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31975, 31974])).
% 26.19/17.56 tff(31977,plain,
% 26.19/17.56 (~v142(constB45)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31976, 2985, 31973])).
% 26.19/17.56 tff(31978,assumption,(v18(constB46)), introduced(assumption)).
% 26.19/17.56 tff(31979,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB46))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31980,plain,
% 26.19/17.56 ($false),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31979, 3012, 31978])).
% 26.19/17.56 tff(31981,plain,(~v18(constB46)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.56 tff(31982,plain,
% 26.19/17.56 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31983,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB46) | (~v1(constB46)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31984,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB46) | (~v1(constB46))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31983, 31982])).
% 26.19/17.56 tff(31985,plain,
% 26.19/17.56 (v22(constB46)),
% 26.19/17.56 inference(unit_resolution,[status(thm)],[31984, 3028, 5855])).
% 26.19/17.56 tff(31986,plain,
% 26.19/17.56 (((~![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)))),
% 26.19/17.56 inference(rewrite,[status(thm)],[])).
% 26.19/17.56 tff(31987,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB46) | (~v22(constB46)) | (~v19(constB46)))),
% 26.19/17.56 inference(quant_inst,[status(thm)],[])).
% 26.19/17.56 tff(31988,plain,
% 26.19/17.56 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB46) | (~v22(constB46)) | (~v19(constB46))),
% 26.19/17.56 inference(modus_ponens,[status(thm)],[31987, 31986])).
% 26.19/17.57 tff(31989,plain,
% 26.19/17.57 (v18(constB46) | (~v19(constB46))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[31988, 3042, 31985])).
% 26.19/17.57 tff(31990,plain,
% 26.19/17.57 (~v19(constB46)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[31989, 31981])).
% 26.19/17.57 tff(31991,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(31992,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB46) | v19(constB46))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(31993,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB46) | v19(constB46)),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[31992, 31991])).
% 26.19/17.57 tff(31994,plain,
% 26.19/17.57 (v13(constB46)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[31993, 3054, 31990])).
% 26.19/17.57 tff(31995,plain,
% 26.19/17.57 (((~![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)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(31996,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(31997,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB45) | (~v13(constB46)) | (~nextState(constB45, constB46))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[31996, 31995])).
% 26.19/17.57 tff(31998,plain,
% 26.19/17.57 (v9(constB45) | (~v13(constB46))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[31997, 3068, 5710])).
% 26.19/17.57 tff(31999,plain,
% 26.19/17.57 (v9(constB45)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[31998, 31994])).
% 26.19/17.57 tff(32000,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v141(constB45))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB45) | (~v9(constB45)) | v141(constB45))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32001,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB45) | (~v9(constB45)) | v141(constB45))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32002,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB45) | (~v9(constB45)) | v141(constB45)),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32001, 32000])).
% 26.19/17.57 tff(32003,plain,
% 26.19/17.57 ((~v9(constB45)) | v141(constB45)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32002, 3083, 5598])).
% 26.19/17.57 tff(32004,plain,
% 26.19/17.57 (v141(constB45)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32003, 31999])).
% 26.19/17.57 tff(32005,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB45)) | v140(constB45))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB45)) | v140(constB45))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32006,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB45)) | v140(constB45))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32007,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB45)) | v140(constB45)),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32006, 32005])).
% 26.19/17.57 tff(32008,plain,
% 26.19/17.57 (v140(constB45)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32007, 24165, 32004])).
% 26.19/17.57 tff(32009,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB45)) | (~v140(constB45)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB45)) | (~v140(constB45)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32010,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB45)) | (~v140(constB45)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32011,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB45)) | (~v140(constB45))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32010, 32009])).
% 26.19/17.57 tff(32012,plain,
% 26.19/17.57 (~v138(constB45)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32011, 24221, 32008])).
% 26.19/17.57 tff(32013,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB45) | v142(constB45) | (~v135(constB45)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB45) | v142(constB45) | (~v135(constB45)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32014,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB45) | v142(constB45) | (~v135(constB45)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32015,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB45) | v142(constB45) | (~v135(constB45))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32014, 32013])).
% 26.19/17.57 tff(32016,plain,
% 26.19/17.57 (v142(constB45) | (~v135(constB45))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32015, 24247, 32012])).
% 26.19/17.57 tff(32017,plain,
% 26.19/17.57 (~v135(constB45)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32016, 31977])).
% 26.19/17.57 tff(32018,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32019,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32020,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB45, constB46)) | v135(constB45) | (~v137(constB46))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32019, 32018])).
% 26.19/17.57 tff(32021,plain,
% 26.19/17.57 (v135(constB45) | (~v137(constB46))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32020, 24262, 5710])).
% 26.19/17.57 tff(32022,plain,
% 26.19/17.57 (~v137(constB46)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32021, 32017])).
% 26.19/17.57 tff(32023,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB46) | (~v138(constB46)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB46) | (~v138(constB46)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32024,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB46) | (~v138(constB46)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32025,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB46) | (~v138(constB46))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32024, 32023])).
% 26.19/17.57 tff(32026,plain,
% 26.19/17.57 (~v138(constB46)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32025, 24277, 32022])).
% 26.19/17.57 tff(32027,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB46)) | (~v141(constB46)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB46)) | (~v141(constB46)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32028,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB46)) | (~v141(constB46)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32029,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB46)) | (~v141(constB46))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32028, 32027])).
% 26.19/17.57 tff(32030,plain,
% 26.19/17.57 (~v141(constB46)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32029, 24291, 5855])).
% 26.19/17.57 tff(32031,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB46) | (~v144(constB46)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB46) | (~v144(constB46)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32032,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB46) | (~v144(constB46)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32033,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB46) | (~v144(constB46))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32032, 32031])).
% 26.19/17.57 tff(32034,plain,
% 26.19/17.57 (~v144(constB46)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32033, 24305, 32030])).
% 26.19/17.57 tff(32035,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB46) | (~v142(constB46)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB46) | (~v142(constB46)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32036,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB46) | (~v142(constB46)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32037,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB46) | (~v142(constB46))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32036, 32035])).
% 26.19/17.57 tff(32038,plain,
% 26.19/17.57 (~v142(constB46)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32037, 2985, 32034])).
% 26.19/17.57 tff(32039,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB46) | v142(constB46) | (~v135(constB46)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB46) | v142(constB46) | (~v135(constB46)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32040,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB46) | v142(constB46) | (~v135(constB46)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32041,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB46) | v142(constB46) | (~v135(constB46))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32040, 32039])).
% 26.19/17.57 tff(32042,plain,
% 26.19/17.57 (v138(constB46) | (~v135(constB46))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32041, 24247, 32038])).
% 26.19/17.57 tff(32043,plain,
% 26.19/17.57 (~v135(constB46)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32042, 32026])).
% 26.19/17.57 tff(32044,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32045,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32046,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB46, constB47)) | v135(constB46) | (~v137(constB47))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32045, 32044])).
% 26.19/17.57 tff(32047,plain,
% 26.19/17.57 (v135(constB46) | (~v137(constB47))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32046, 24262, 5883])).
% 26.19/17.57 tff(32048,plain,
% 26.19/17.57 (~v137(constB47)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32047, 32043])).
% 26.19/17.57 tff(32049,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB47) | (~v153(constB47)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB47) | (~v153(constB47)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32050,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB47) | (~v153(constB47)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32051,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB47) | (~v153(constB47))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32050, 32049])).
% 26.19/17.57 tff(32052,plain,
% 26.19/17.57 (~v153(constB47)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32051, 24437, 32048])).
% 26.19/17.57 tff(32053,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB47)) | (~v155(constB47)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB47)) | (~v155(constB47)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32054,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB47)) | (~v155(constB47)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32055,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB47)) | (~v155(constB47))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32054, 32053])).
% 26.19/17.57 tff(32056,plain,
% 26.19/17.57 (~v155(constB47)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32055, 24482, 26601])).
% 26.19/17.57 tff(32057,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB47) | v155(constB47) | (~v150(constB47)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB47) | v155(constB47) | (~v150(constB47)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32058,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB47) | v155(constB47) | (~v150(constB47)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32059,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB47) | v155(constB47) | (~v150(constB47))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32058, 32057])).
% 26.19/17.57 tff(32060,plain,
% 26.19/17.57 (v153(constB47) | (~v150(constB47))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32059, 24496, 32056])).
% 26.19/17.57 tff(32061,plain,
% 26.19/17.57 (~v150(constB47)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32060, 32052])).
% 26.19/17.57 tff(32062,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32063,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32064,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB47, constB48)) | v150(constB47) | (~v152(constB48))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32063, 32062])).
% 26.19/17.57 tff(32065,plain,
% 26.19/17.57 (v150(constB47) | (~v152(constB48))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32064, 24511, 6003])).
% 26.19/17.57 tff(32066,plain,
% 26.19/17.57 (~v152(constB48)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32065, 32061])).
% 26.19/17.57 tff(32067,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB48) | (~v155(constB48)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB48) | (~v155(constB48)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32068,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB48) | (~v155(constB48)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32069,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB48) | (~v155(constB48))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32068, 32067])).
% 26.19/17.57 tff(32070,plain,
% 26.19/17.57 (~v155(constB48)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32069, 24526, 32066])).
% 26.19/17.57 tff(32071,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB48) | (~v154(constB48)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB48) | (~v154(constB48)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32072,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB48) | (~v154(constB48)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32073,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB48) | (~v154(constB48))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32072, 32071])).
% 26.19/17.57 tff(32074,plain,
% 26.19/17.57 (~v154(constB48)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32073, 24544, 26623])).
% 26.19/17.57 tff(32075,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB48) | (~v153(constB48)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB48) | (~v153(constB48)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32076,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB48) | (~v153(constB48)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32077,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB48) | (~v153(constB48))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32076, 32075])).
% 26.19/17.57 tff(32078,plain,
% 26.19/17.57 (~v153(constB48)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32077, 24558, 32074])).
% 26.19/17.57 tff(32079,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB48) | v155(constB48) | (~v150(constB48)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB48) | v155(constB48) | (~v150(constB48)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32080,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB48) | v155(constB48) | (~v150(constB48)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32081,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB48) | v155(constB48) | (~v150(constB48))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32080, 32079])).
% 26.19/17.57 tff(32082,plain,
% 26.19/17.57 (v155(constB48) | (~v150(constB48))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32081, 24496, 32078])).
% 26.19/17.57 tff(32083,plain,
% 26.19/17.57 (~v150(constB48)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32082, 32070])).
% 26.19/17.57 tff(32084,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32085,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32086,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB48, constB49)) | v150(constB48) | (~v152(constB49))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32085, 32084])).
% 26.19/17.57 tff(32087,plain,
% 26.19/17.57 (v150(constB48) | (~v152(constB49))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32086, 24511, 6065])).
% 26.19/17.57 tff(32088,plain,
% 26.19/17.57 (~v152(constB49)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32087, 32083])).
% 26.19/17.57 tff(32089,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB49) | (~v164(constB49)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB49) | (~v164(constB49)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32090,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB49) | (~v164(constB49)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32091,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB49) | (~v164(constB49))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32090, 32089])).
% 26.19/17.57 tff(32092,plain,
% 26.19/17.57 (~v164(constB49)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32091, 24674, 32088])).
% 26.19/17.57 tff(32093,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB49)) | (~v163(constB49)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB49)) | (~v163(constB49)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32094,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB49)) | (~v163(constB49)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32095,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB49)) | (~v163(constB49))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32094, 32093])).
% 26.19/17.57 tff(32096,plain,
% 26.19/17.57 (~v163(constB49)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32095, 24179, 26679])).
% 26.19/17.57 tff(32097,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB49) | v164(constB49) | (~v160(constB49)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB49) | v164(constB49) | (~v160(constB49)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32098,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB49) | v164(constB49) | (~v160(constB49)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32099,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB49) | v164(constB49) | (~v160(constB49))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32098, 32097])).
% 26.19/17.57 tff(32100,plain,
% 26.19/17.57 (v164(constB49) | (~v160(constB49))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32099, 24688, 32096])).
% 26.19/17.57 tff(32101,plain,
% 26.19/17.57 (~v160(constB49)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32100, 32092])).
% 26.19/17.57 tff(32102,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32103,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32104,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB49, constB50)) | v160(constB49) | (~v162(constB50))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32103, 32102])).
% 26.19/17.57 tff(32105,plain,
% 26.19/17.57 (v160(constB49) | (~v162(constB50))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32104, 24703, 6178])).
% 26.19/17.57 tff(32106,plain,
% 26.19/17.57 (~v162(constB50)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32105, 32101])).
% 26.19/17.57 tff(32107,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB50) | (~v163(constB50)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB50) | (~v163(constB50)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32108,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB50) | (~v163(constB50)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32109,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB50) | (~v163(constB50))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32108, 32107])).
% 26.19/17.57 tff(32110,plain,
% 26.19/17.57 (~v163(constB50)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32109, 24718, 32106])).
% 26.19/17.57 tff(32111,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB50) | (~v164(constB50)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB50) | (~v164(constB50)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32112,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB50) | (~v164(constB50)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32113,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB50) | (~v164(constB50))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32112, 32111])).
% 26.19/17.57 tff(32114,plain,
% 26.19/17.57 (~v164(constB50)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32113, 24740, 26705])).
% 26.19/17.57 tff(32115,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB50) | v164(constB50) | (~v160(constB50)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB50) | v164(constB50) | (~v160(constB50)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32116,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB50) | v164(constB50) | (~v160(constB50)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32117,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB50) | v164(constB50) | (~v160(constB50))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32116, 32115])).
% 26.19/17.57 tff(32118,plain,
% 26.19/17.57 (v163(constB50) | (~v160(constB50))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32117, 24688, 32114])).
% 26.19/17.57 tff(32119,plain,
% 26.19/17.57 (~v160(constB50)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32118, 32110])).
% 26.19/17.57 tff(32120,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32121,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32122,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB50, constB51)) | v160(constB50) | (~v162(constB51))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32121, 32120])).
% 26.19/17.57 tff(32123,plain,
% 26.19/17.57 (v160(constB50) | (~v162(constB51))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32122, 24703, 6267])).
% 26.19/17.57 tff(32124,plain,
% 26.19/17.57 (~v162(constB51)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32123, 32119])).
% 26.19/17.57 tff(32125,plain,
% 26.19/17.57 ($false),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32124, 31965])).
% 26.19/17.57 tff(32126,plain,(~(constB51 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.57 tff(32127,assumption,(constB139 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.57 tff(32128,plain,
% 26.19/17.57 (v162(constB139) <=> v162(sK0_VarCurr)),
% 26.19/17.57 inference(monotonicity,[status(thm)],[32127])).
% 26.19/17.57 tff(32129,plain,
% 26.19/17.57 (v162(sK0_VarCurr) <=> v162(constB139)),
% 26.19/17.57 inference(symmetry,[status(thm)],[32128])).
% 26.19/17.57 tff(32130,plain,
% 26.19/17.57 (v162(constB139)),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[24130, 32129])).
% 26.19/17.57 tff(32131,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB133) | (~v144(constB133)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB133) | (~v144(constB133)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32132,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB133) | (~v144(constB133)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32133,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB133) | (~v144(constB133))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32132, 32131])).
% 26.19/17.57 tff(32134,plain,
% 26.19/17.57 (~v144(constB133)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32133, 2971, 15078])).
% 26.19/17.57 tff(32135,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB133) | (~v142(constB133)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB133) | (~v142(constB133)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32136,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB133) | (~v142(constB133)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32137,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB133) | (~v142(constB133))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32136, 32135])).
% 26.19/17.57 tff(32138,plain,
% 26.19/17.57 (~v142(constB133)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32137, 2985, 32134])).
% 26.19/17.57 tff(32139,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB133)) | (~v140(constB133)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB133)) | (~v140(constB133)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32140,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB133)) | (~v140(constB133)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32141,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB133)) | (~v140(constB133))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32140, 32139])).
% 26.19/17.57 tff(32142,plain,
% 26.19/17.57 (~v138(constB133)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32141, 24221, 28163])).
% 26.19/17.57 tff(32143,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB133) | v142(constB133) | (~v135(constB133)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB133) | v142(constB133) | (~v135(constB133)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32144,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB133) | v142(constB133) | (~v135(constB133)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32145,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB133) | v142(constB133) | (~v135(constB133))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32144, 32143])).
% 26.19/17.57 tff(32146,plain,
% 26.19/17.57 (v142(constB133) | (~v135(constB133))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32145, 24247, 32142])).
% 26.19/17.57 tff(32147,plain,
% 26.19/17.57 (~v135(constB133)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32146, 32138])).
% 26.19/17.57 tff(32148,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32149,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32150,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB133, constB134)) | v135(constB133) | (~v137(constB134))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32149, 32148])).
% 26.19/17.57 tff(32151,plain,
% 26.19/17.57 (v135(constB133) | (~v137(constB134))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32150, 24262, 15020])).
% 26.19/17.57 tff(32152,plain,
% 26.19/17.57 (~v137(constB134)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32151, 32147])).
% 26.19/17.57 tff(32153,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB134) | (~v138(constB134)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB134) | (~v138(constB134)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32154,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB134) | (~v138(constB134)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32155,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB134) | (~v138(constB134))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32154, 32153])).
% 26.19/17.57 tff(32156,plain,
% 26.19/17.57 (~v138(constB134)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32155, 24277, 32152])).
% 26.19/17.57 tff(32157,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB134) | (~v144(constB134)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB134) | (~v144(constB134)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32158,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB134) | (~v144(constB134)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32159,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB134) | (~v144(constB134))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32158, 32157])).
% 26.19/17.57 tff(32160,plain,
% 26.19/17.57 (~v144(constB134)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32159, 24305, 28185])).
% 26.19/17.57 tff(32161,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB134) | (~v142(constB134)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB134) | (~v142(constB134)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32162,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB134) | (~v142(constB134)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32163,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB134) | (~v142(constB134))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32162, 32161])).
% 26.19/17.57 tff(32164,plain,
% 26.19/17.57 (~v142(constB134)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32163, 2985, 32160])).
% 26.19/17.57 tff(32165,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB134) | v142(constB134) | (~v135(constB134)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB134) | v142(constB134) | (~v135(constB134)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32166,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB134) | v142(constB134) | (~v135(constB134)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32167,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB134) | v142(constB134) | (~v135(constB134))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32166, 32165])).
% 26.19/17.57 tff(32168,plain,
% 26.19/17.57 (v138(constB134) | (~v135(constB134))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32167, 24247, 32164])).
% 26.19/17.57 tff(32169,plain,
% 26.19/17.57 (~v135(constB134)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32168, 32156])).
% 26.19/17.57 tff(32170,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32171,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32172,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB134, constB135)) | v135(constB134) | (~v137(constB135))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32171, 32170])).
% 26.19/17.57 tff(32173,plain,
% 26.19/17.57 (v135(constB134) | (~v137(constB135))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32172, 24262, 15109])).
% 26.19/17.57 tff(32174,plain,
% 26.19/17.57 (~v137(constB135)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32173, 32169])).
% 26.19/17.57 tff(32175,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB135) | (~v153(constB135)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB135) | (~v153(constB135)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32176,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB135) | (~v153(constB135)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32177,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB135) | (~v153(constB135))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32176, 32175])).
% 26.19/17.57 tff(32178,plain,
% 26.19/17.57 (~v153(constB135)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32177, 24437, 32174])).
% 26.19/17.57 tff(32179,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB135) | (~v155(constB135)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB135) | (~v155(constB135)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32180,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB135) | (~v155(constB135)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32181,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB135) | (~v155(constB135))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32180, 32179])).
% 26.19/17.57 tff(32182,plain,
% 26.19/17.57 (~v155(constB135)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32181, 24526, 28203])).
% 26.19/17.57 tff(32183,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB135) | v155(constB135) | (~v150(constB135)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB135) | v155(constB135) | (~v150(constB135)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32184,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB135) | v155(constB135) | (~v150(constB135)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32185,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB135) | v155(constB135) | (~v150(constB135))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32184, 32183])).
% 26.19/17.57 tff(32186,plain,
% 26.19/17.57 (v153(constB135) | (~v150(constB135))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32185, 24496, 32182])).
% 26.19/17.57 tff(32187,plain,
% 26.19/17.57 (~v150(constB135)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32186, 32178])).
% 26.19/17.57 tff(32188,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32189,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32190,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB135, constB136)) | v150(constB135) | (~v152(constB136))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32189, 32188])).
% 26.19/17.57 tff(32191,plain,
% 26.19/17.57 (v150(constB135) | (~v152(constB136))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32190, 24511, 15262])).
% 26.19/17.57 tff(32192,plain,
% 26.19/17.57 (~v152(constB136)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32191, 32187])).
% 26.19/17.57 tff(32193,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB136) | (~v155(constB136)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB136) | (~v155(constB136)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32194,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB136) | (~v155(constB136)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32195,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB136) | (~v155(constB136))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32194, 32193])).
% 26.19/17.57 tff(32196,plain,
% 26.19/17.57 (~v155(constB136)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32195, 24526, 32192])).
% 26.19/17.57 tff(32197,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB136) | (~v153(constB136)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB136) | (~v153(constB136)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32198,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB136) | (~v153(constB136)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32199,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB136) | (~v153(constB136))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32198, 32197])).
% 26.19/17.57 tff(32200,plain,
% 26.19/17.57 (~v153(constB136)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32199, 24558, 28392])).
% 26.19/17.57 tff(32201,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB136) | v155(constB136) | (~v150(constB136)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB136) | v155(constB136) | (~v150(constB136)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32202,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB136) | v155(constB136) | (~v150(constB136)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32203,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB136) | v155(constB136) | (~v150(constB136))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32202, 32201])).
% 26.19/17.57 tff(32204,plain,
% 26.19/17.57 (v155(constB136) | (~v150(constB136))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32203, 24496, 32200])).
% 26.19/17.57 tff(32205,plain,
% 26.19/17.57 (~v150(constB136)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32204, 32196])).
% 26.19/17.57 tff(32206,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32207,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32208,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB136, constB137)) | v150(constB136) | (~v152(constB137))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32207, 32206])).
% 26.19/17.57 tff(32209,plain,
% 26.19/17.57 (v150(constB136) | (~v152(constB137))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32208, 24511, 15324])).
% 26.19/17.57 tff(32210,plain,
% 26.19/17.57 (~v152(constB137)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32209, 32205])).
% 26.19/17.57 tff(32211,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB137) | (~v164(constB137)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB137) | (~v164(constB137)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32212,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB137) | (~v164(constB137)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32213,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB137) | (~v164(constB137))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32212, 32211])).
% 26.19/17.57 tff(32214,plain,
% 26.19/17.57 (~v164(constB137)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32213, 24674, 32210])).
% 26.19/17.57 tff(32215,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB137) | (~v163(constB137)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB137) | (~v163(constB137)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32216,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB137) | (~v163(constB137)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32217,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB137) | (~v163(constB137))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32216, 32215])).
% 26.19/17.57 tff(32218,plain,
% 26.19/17.57 (~v163(constB137)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32217, 24718, 28406])).
% 26.19/17.57 tff(32219,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB137) | v164(constB137) | (~v160(constB137)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB137) | v164(constB137) | (~v160(constB137)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32220,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB137) | v164(constB137) | (~v160(constB137)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32221,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB137) | v164(constB137) | (~v160(constB137))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32220, 32219])).
% 26.19/17.57 tff(32222,plain,
% 26.19/17.57 (v164(constB137) | (~v160(constB137))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32221, 24688, 32218])).
% 26.19/17.57 tff(32223,plain,
% 26.19/17.57 (~v160(constB137)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32222, 32214])).
% 26.19/17.57 tff(32224,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32225,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32226,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB137, constB138)) | v160(constB137) | (~v162(constB138))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32225, 32224])).
% 26.19/17.57 tff(32227,plain,
% 26.19/17.57 (v160(constB137) | (~v162(constB138))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32226, 24703, 15461])).
% 26.19/17.57 tff(32228,plain,
% 26.19/17.57 (~v162(constB138)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32227, 32223])).
% 26.19/17.57 tff(32229,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB138) | (~v163(constB138)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB138) | (~v163(constB138)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32230,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB138) | (~v163(constB138)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32231,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB138) | (~v163(constB138))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32230, 32229])).
% 26.19/17.57 tff(32232,plain,
% 26.19/17.57 (~v163(constB138)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32231, 24718, 32228])).
% 26.19/17.57 tff(32233,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB138)) | (~v141(constB138)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB138)) | (~v141(constB138)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32234,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB138)) | (~v141(constB138)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32235,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB138)) | (~v141(constB138))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32234, 32233])).
% 26.19/17.57 tff(32236,plain,
% 26.19/17.57 (~v141(constB138)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32235, 24291, 15481])).
% 26.19/17.57 tff(32237,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB138) | (~v154(constB138)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB138) | (~v154(constB138)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32238,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB138) | (~v154(constB138)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32239,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB138) | (~v154(constB138))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32238, 32237])).
% 26.19/17.57 tff(32240,plain,
% 26.19/17.57 (~v154(constB138)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32239, 24544, 32236])).
% 26.19/17.57 tff(32241,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB138) | (~v164(constB138)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB138) | (~v164(constB138)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32242,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB138) | (~v164(constB138)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32243,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB138) | (~v164(constB138))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32242, 32241])).
% 26.19/17.57 tff(32244,plain,
% 26.19/17.57 (~v164(constB138)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32243, 24740, 32240])).
% 26.19/17.57 tff(32245,plain,
% 26.19/17.57 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB138) | v164(constB138) | (~v160(constB138)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB138) | v164(constB138) | (~v160(constB138)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32246,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB138) | v164(constB138) | (~v160(constB138)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32247,plain,
% 26.19/17.57 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB138) | v164(constB138) | (~v160(constB138))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32246, 32245])).
% 26.19/17.57 tff(32248,plain,
% 26.19/17.57 (v163(constB138) | (~v160(constB138))),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32247, 24688, 32244])).
% 26.19/17.57 tff(32249,plain,
% 26.19/17.57 (~v160(constB138)),
% 26.19/17.57 inference(unit_resolution,[status(thm)],[32248, 32232])).
% 26.19/17.57 tff(32250,plain,
% 26.19/17.57 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))),
% 26.19/17.57 inference(rewrite,[status(thm)],[])).
% 26.19/17.57 tff(32251,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139)))),
% 26.19/17.57 inference(quant_inst,[status(thm)],[])).
% 26.19/17.57 tff(32252,plain,
% 26.19/17.57 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB138, constB139)) | v160(constB138) | (~v162(constB139))),
% 26.19/17.57 inference(modus_ponens,[status(thm)],[32251, 32250])).
% 26.19/17.58 tff(32253,plain,
% 26.19/17.58 (v160(constB138) | (~v162(constB139))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32252, 24703, 15523])).
% 26.19/17.58 tff(32254,plain,
% 26.19/17.58 (~v162(constB139)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32253, 32249])).
% 26.19/17.58 tff(32255,plain,
% 26.19/17.58 ($false),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32254, 32130])).
% 26.19/17.58 tff(32256,plain,(~(constB139 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.58 tff(32257,assumption,(constB7 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.58 tff(32258,plain,
% 26.19/17.58 (v162(constB7) <=> v162(sK0_VarCurr)),
% 26.19/17.58 inference(monotonicity,[status(thm)],[32257])).
% 26.19/17.58 tff(32259,plain,
% 26.19/17.58 (v162(sK0_VarCurr) <=> v162(constB7)),
% 26.19/17.58 inference(symmetry,[status(thm)],[32258])).
% 26.19/17.58 tff(32260,plain,
% 26.19/17.58 (v162(constB7)),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[24130, 32259])).
% 26.19/17.58 tff(32261,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB1) | (~v138(constB1)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB1) | (~v138(constB1)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32262,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB1) | (~v138(constB1)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32263,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB1) | (~v138(constB1))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32262, 32261])).
% 26.19/17.58 tff(32264,plain,
% 26.19/17.58 (~v138(constB1)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32263, 24277, 26390])).
% 26.19/17.58 tff(32265,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB1)) | v84(constB1, bitIndex0))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB1)) | v84(constB1, bitIndex0))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32266,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | ((~v145(constB1)) | v84(constB1, bitIndex0))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32267,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | v84(VarCurr, bitIndex0))) | (~v145(constB1)) | v84(constB1, bitIndex0)),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32266, 32265])).
% 26.19/17.58 tff(32268,plain,
% 26.19/17.58 (~v145(constB1)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32267, 4848, 158])).
% 26.19/17.58 tff(32269,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB1) | (~v144(constB1)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB1) | (~v144(constB1)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32270,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB1) | (~v144(constB1)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32271,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB1) | (~v144(constB1))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32270, 32269])).
% 26.19/17.58 tff(32272,plain,
% 26.19/17.58 (~v144(constB1)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32271, 2971, 32268])).
% 26.19/17.58 tff(32273,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB1) | (~v142(constB1)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB1) | (~v142(constB1)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32274,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB1) | (~v142(constB1)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32275,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB1) | (~v142(constB1))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32274, 32273])).
% 26.19/17.58 tff(32276,plain,
% 26.19/17.58 (~v142(constB1)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32275, 2985, 32272])).
% 26.19/17.58 tff(32277,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB1) | v142(constB1) | (~v135(constB1)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB1) | v142(constB1) | (~v135(constB1)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32278,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB1) | v142(constB1) | (~v135(constB1)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32279,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB1) | v142(constB1) | (~v135(constB1))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32278, 32277])).
% 26.19/17.58 tff(32280,plain,
% 26.19/17.58 (~v135(constB1)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32279, 24247, 32276, 32264])).
% 26.19/17.58 tff(32281,plain,
% 26.19/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32282,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32283,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB1, constB2)) | v135(constB1) | (~v137(constB2))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32282, 32281])).
% 26.19/17.58 tff(32284,plain,
% 26.19/17.58 (v135(constB1) | (~v137(constB2))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32283, 24262, 285])).
% 26.19/17.58 tff(32285,plain,
% 26.19/17.58 (~v137(constB2)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32284, 32280])).
% 26.19/17.58 tff(32286,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB2) | (~v138(constB2)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB2) | (~v138(constB2)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32287,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB2) | (~v138(constB2)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32288,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB2) | (~v138(constB2))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32287, 32286])).
% 26.19/17.58 tff(32289,plain,
% 26.19/17.58 (~v138(constB2)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32288, 24277, 32285])).
% 26.19/17.58 tff(32290,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB2) | (~v144(constB2)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB2) | (~v144(constB2)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32291,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB2) | (~v144(constB2)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32292,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB2) | (~v144(constB2))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32291, 32290])).
% 26.19/17.58 tff(32293,plain,
% 26.19/17.58 (~v144(constB2)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32292, 24305, 26436])).
% 26.19/17.58 tff(32294,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB2) | (~v142(constB2)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB2) | (~v142(constB2)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32295,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB2) | (~v142(constB2)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32296,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB2) | (~v142(constB2))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32295, 32294])).
% 26.19/17.58 tff(32297,plain,
% 26.19/17.58 (~v142(constB2)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32296, 2985, 32293])).
% 26.19/17.58 tff(32298,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB2) | v142(constB2) | (~v135(constB2)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB2) | v142(constB2) | (~v135(constB2)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32299,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB2) | v142(constB2) | (~v135(constB2)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32300,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB2) | v142(constB2) | (~v135(constB2))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32299, 32298])).
% 26.19/17.58 tff(32301,plain,
% 26.19/17.58 (v138(constB2) | (~v135(constB2))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32300, 24247, 32297])).
% 26.19/17.58 tff(32302,plain,
% 26.19/17.58 (~v135(constB2)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32301, 32289])).
% 26.19/17.58 tff(32303,plain,
% 26.19/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32304,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32305,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB2, constB3)) | v135(constB2) | (~v137(constB3))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32304, 32303])).
% 26.19/17.58 tff(32306,plain,
% 26.19/17.58 (v135(constB2) | (~v137(constB3))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32305, 24262, 434])).
% 26.19/17.58 tff(32307,plain,
% 26.19/17.58 (~v137(constB3)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32306, 32302])).
% 26.19/17.58 tff(32308,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB3) | (~v153(constB3)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB3) | (~v153(constB3)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32309,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB3) | (~v153(constB3)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32310,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB3) | (~v153(constB3))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32309, 32308])).
% 26.19/17.58 tff(32311,plain,
% 26.19/17.58 (~v153(constB3)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32310, 24437, 32307])).
% 26.19/17.58 tff(32312,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB3) | (~v155(constB3)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB3) | (~v155(constB3)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32313,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB3) | (~v155(constB3)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32314,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB3) | (~v155(constB3))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32313, 32312])).
% 26.19/17.58 tff(32315,plain,
% 26.19/17.58 (~v155(constB3)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32314, 24526, 26454])).
% 26.19/17.58 tff(32316,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB3) | v155(constB3) | (~v150(constB3)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB3) | v155(constB3) | (~v150(constB3)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32317,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB3) | v155(constB3) | (~v150(constB3)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32318,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB3) | v155(constB3) | (~v150(constB3))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32317, 32316])).
% 26.19/17.58 tff(32319,plain,
% 26.19/17.58 (v153(constB3) | (~v150(constB3))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32318, 24496, 32315])).
% 26.19/17.58 tff(32320,plain,
% 26.19/17.58 (~v150(constB3)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32319, 32311])).
% 26.19/17.58 tff(32321,plain,
% 26.19/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32322,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32323,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB3, constB4)) | v150(constB3) | (~v152(constB4))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32322, 32321])).
% 26.19/17.58 tff(32324,plain,
% 26.19/17.58 (v150(constB3) | (~v152(constB4))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32323, 24511, 640])).
% 26.19/17.58 tff(32325,plain,
% 26.19/17.58 (~v152(constB4)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32324, 32320])).
% 26.19/17.58 tff(32326,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB4) | (~v155(constB4)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB4) | (~v155(constB4)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32327,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB4) | (~v155(constB4)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32328,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB4) | (~v155(constB4))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32327, 32326])).
% 26.19/17.58 tff(32329,plain,
% 26.19/17.58 (~v155(constB4)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32328, 24526, 32325])).
% 26.19/17.58 tff(32330,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB4) | (~v153(constB4)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB4) | (~v153(constB4)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32331,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB4) | (~v153(constB4)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32332,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB4) | (~v153(constB4))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32331, 32330])).
% 26.19/17.58 tff(32333,plain,
% 26.19/17.58 (~v153(constB4)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32332, 24558, 26538])).
% 26.19/17.58 tff(32334,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB4) | v155(constB4) | (~v150(constB4)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB4) | v155(constB4) | (~v150(constB4)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32335,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB4) | v155(constB4) | (~v150(constB4)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32336,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB4) | v155(constB4) | (~v150(constB4))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32335, 32334])).
% 26.19/17.58 tff(32337,plain,
% 26.19/17.58 (v155(constB4) | (~v150(constB4))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32336, 24496, 32333])).
% 26.19/17.58 tff(32338,plain,
% 26.19/17.58 (~v150(constB4)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32337, 32329])).
% 26.19/17.58 tff(32339,plain,
% 26.19/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32340,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32341,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB4, constB5)) | v150(constB4) | (~v152(constB5))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32340, 32339])).
% 26.19/17.58 tff(32342,plain,
% 26.19/17.58 (v150(constB4) | (~v152(constB5))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32341, 24511, 770])).
% 26.19/17.58 tff(32343,plain,
% 26.19/17.58 (~v152(constB5)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32342, 32338])).
% 26.19/17.58 tff(32344,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB5) | (~v164(constB5)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB5) | (~v164(constB5)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32345,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB5) | (~v164(constB5)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32346,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB5) | (~v164(constB5))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32345, 32344])).
% 26.19/17.58 tff(32347,plain,
% 26.19/17.58 (~v164(constB5)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32346, 24674, 32343])).
% 26.19/17.58 tff(32348,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB5) | (~v163(constB5)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB5) | (~v163(constB5)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32349,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB5) | (~v163(constB5)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32350,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB5) | (~v163(constB5))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32349, 32348])).
% 26.19/17.58 tff(32351,plain,
% 26.19/17.58 (~v163(constB5)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32350, 24718, 26552])).
% 26.19/17.58 tff(32352,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB5) | v164(constB5) | (~v160(constB5)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB5) | v164(constB5) | (~v160(constB5)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32353,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB5) | v164(constB5) | (~v160(constB5)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32354,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB5) | v164(constB5) | (~v160(constB5))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32353, 32352])).
% 26.19/17.58 tff(32355,plain,
% 26.19/17.58 (~v160(constB5)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32354, 24688, 32351, 32347])).
% 26.19/17.58 tff(32356,plain,
% 26.19/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32357,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32358,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB5, constB6)) | v160(constB5) | (~v162(constB6))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32357, 32356])).
% 26.19/17.58 tff(32359,plain,
% 26.19/17.58 (v160(constB5) | (~v162(constB6))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32358, 24703, 1005])).
% 26.19/17.58 tff(32360,plain,
% 26.19/17.58 (~v162(constB6)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32359, 32355])).
% 26.19/17.58 tff(32361,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB6) | (~v163(constB6)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB6) | (~v163(constB6)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32362,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB6) | (~v163(constB6)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32363,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB6) | (~v163(constB6))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32362, 32361])).
% 26.19/17.58 tff(32364,plain,
% 26.19/17.58 (~v163(constB6)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32363, 24718, 32360])).
% 26.19/17.58 tff(32365,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB6) | (~v154(constB6)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB6) | (~v154(constB6)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32366,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB6) | (~v154(constB6)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32367,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB6) | (~v154(constB6))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32366, 32365])).
% 26.19/17.58 tff(32368,plain,
% 26.19/17.58 (~v154(constB6)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32367, 24544, 27663])).
% 26.19/17.58 tff(32369,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB6) | (~v164(constB6)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB6) | (~v164(constB6)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32370,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB6) | (~v164(constB6)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32371,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB6) | (~v164(constB6))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32370, 32369])).
% 26.19/17.58 tff(32372,plain,
% 26.19/17.58 (~v164(constB6)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32371, 24740, 32368])).
% 26.19/17.58 tff(32373,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB6) | v164(constB6) | (~v160(constB6)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB6) | v164(constB6) | (~v160(constB6)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32374,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB6) | v164(constB6) | (~v160(constB6)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32375,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB6) | v164(constB6) | (~v160(constB6))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32374, 32373])).
% 26.19/17.58 tff(32376,plain,
% 26.19/17.58 (v163(constB6) | (~v160(constB6))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32375, 24688, 32372])).
% 26.19/17.58 tff(32377,plain,
% 26.19/17.58 (~v160(constB6)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32376, 32364])).
% 26.19/17.58 tff(32378,plain,
% 26.19/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32379,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32380,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB6, constB7)) | v160(constB6) | (~v162(constB7))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32379, 32378])).
% 26.19/17.58 tff(32381,plain,
% 26.19/17.58 (v160(constB6) | (~v162(constB7))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32380, 24703, 1074])).
% 26.19/17.58 tff(32382,plain,
% 26.19/17.58 (~v162(constB7)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32381, 32377])).
% 26.19/17.58 tff(32383,plain,
% 26.19/17.58 ($false),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32382, 32260])).
% 26.19/17.58 tff(32384,plain,(~(constB7 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.58 tff(32385,assumption,(constB82 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.58 tff(32386,plain,
% 26.19/17.58 (v1(constB82) <=> v1(sK0_VarCurr)),
% 26.19/17.58 inference(monotonicity,[status(thm)],[32385])).
% 26.19/17.58 tff(32387,plain,
% 26.19/17.58 (v1(sK0_VarCurr) <=> v1(constB82)),
% 26.19/17.58 inference(symmetry,[status(thm)],[32386])).
% 26.19/17.58 tff(32388,plain,
% 26.19/17.58 ((~v1(sK0_VarCurr)) <=> (~v1(constB82))),
% 26.19/17.58 inference(monotonicity,[status(thm)],[32387])).
% 26.19/17.58 tff(32389,plain,
% 26.19/17.58 (~v1(constB82)),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[25472, 32388])).
% 26.19/17.58 tff(32390,plain,
% 26.19/17.58 ($false),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[9597, 32389])).
% 26.19/17.58 tff(32391,plain,(~(constB82 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.58 tff(32392,assumption,(constB126 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.58 tff(32393,plain,
% 26.19/17.58 (v1(constB126) <=> v1(sK0_VarCurr)),
% 26.19/17.58 inference(monotonicity,[status(thm)],[32392])).
% 26.19/17.58 tff(32394,plain,
% 26.19/17.58 (v1(sK0_VarCurr) <=> v1(constB126)),
% 26.19/17.58 inference(symmetry,[status(thm)],[32393])).
% 26.19/17.58 tff(32395,plain,
% 26.19/17.58 ((~v1(sK0_VarCurr)) <=> (~v1(constB126))),
% 26.19/17.58 inference(monotonicity,[status(thm)],[32394])).
% 26.19/17.58 tff(32396,plain,
% 26.19/17.58 (~v1(constB126)),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[25472, 32395])).
% 26.19/17.58 tff(32397,plain,
% 26.19/17.58 ($false),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[14281, 32396])).
% 26.19/17.58 tff(32398,plain,(~(constB126 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.58 tff(32399,assumption,(constB191 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.58 tff(32400,plain,
% 26.19/17.58 (v162(constB191) <=> v162(sK0_VarCurr)),
% 26.19/17.58 inference(monotonicity,[status(thm)],[32399])).
% 26.19/17.58 tff(32401,plain,
% 26.19/17.58 (v162(sK0_VarCurr) <=> v162(constB191)),
% 26.19/17.58 inference(symmetry,[status(thm)],[32400])).
% 26.19/17.58 tff(32402,plain,
% 26.19/17.58 (v162(constB191)),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[24130, 32401])).
% 26.19/17.58 tff(32403,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB185)) | (~v84(constB185, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB185)) | (~v84(constB185, bitIndex1)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32404,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB185)) | (~v84(constB185, bitIndex1)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32405,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB185)) | (~v84(constB185, bitIndex1))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32404, 32403])).
% 26.19/17.58 tff(32406,plain,
% 26.19/17.58 (~v145(constB185)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32405, 2018, 23460])).
% 26.19/17.58 tff(32407,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB185) | (~v144(constB185)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB185) | (~v144(constB185)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32408,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB185) | (~v144(constB185)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32409,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB185) | (~v144(constB185))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32408, 32407])).
% 26.19/17.58 tff(32410,plain,
% 26.19/17.58 (~v144(constB185)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32409, 2971, 32406])).
% 26.19/17.58 tff(32411,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB185) | (~v142(constB185)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB185) | (~v142(constB185)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32412,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB185) | (~v142(constB185)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32413,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB185) | (~v142(constB185))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32412, 32411])).
% 26.19/17.58 tff(32414,plain,
% 26.19/17.58 (~v142(constB185)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32413, 2985, 32410])).
% 26.19/17.58 tff(32415,assumption,(v18(constB186)), introduced(assumption)).
% 26.19/17.58 tff(32416,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB186))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32417,plain,
% 26.19/17.58 ($false),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32416, 3012, 32415])).
% 26.19/17.58 tff(32418,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.58 tff(32419,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32420,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32421,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32420, 32419])).
% 26.19/17.58 tff(32422,plain,
% 26.19/17.58 (v22(constB186)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32421, 3028, 23569])).
% 26.19/17.58 tff(32423,plain,
% 26.19/17.58 (((~![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)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32424,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB186) | (~v22(constB186)) | (~v19(constB186)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32425,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB186) | (~v22(constB186)) | (~v19(constB186))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32424, 32423])).
% 26.19/17.58 tff(32426,plain,
% 26.19/17.58 (v18(constB186) | (~v19(constB186))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32425, 3042, 32422])).
% 26.19/17.58 tff(32427,plain,
% 26.19/17.58 (~v19(constB186)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32426, 32418])).
% 26.19/17.58 tff(32428,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32429,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32430,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32429, 32428])).
% 26.19/17.58 tff(32431,plain,
% 26.19/17.58 (v13(constB186)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32430, 3054, 32427])).
% 26.19/17.58 tff(32432,plain,
% 26.19/17.58 (((~![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)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32433,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32434,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB185) | (~v13(constB186)) | (~nextState(constB185, constB186))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32433, 32432])).
% 26.19/17.58 tff(32435,plain,
% 26.19/17.58 (v9(constB185) | (~v13(constB186))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32434, 3068, 23549])).
% 26.19/17.58 tff(32436,plain,
% 26.19/17.58 (v9(constB185)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32435, 32431])).
% 26.19/17.58 tff(32437,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32438,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32439,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185)),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32438, 32437])).
% 26.19/17.58 tff(32440,plain,
% 26.19/17.58 ((~v9(constB185)) | v141(constB185)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32439, 3083, 23405])).
% 26.19/17.58 tff(32441,plain,
% 26.19/17.58 (v141(constB185)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32440, 32436])).
% 26.19/17.58 tff(32442,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB185) | (~v141(constB185)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB185) | (~v141(constB185)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32443,plain,
% 26.19/17.58 (((~v141(constB185)) | v140(constB185)) <=> (v140(constB185) | (~v141(constB185)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32444,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB185)) | v140(constB185))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB185) | (~v141(constB185))))),
% 26.19/17.58 inference(monotonicity,[status(thm)],[32443])).
% 26.19/17.58 tff(32445,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB185)) | v140(constB185))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB185) | (~v141(constB185)))),
% 26.19/17.58 inference(transitivity,[status(thm)],[32444, 32442])).
% 26.19/17.58 tff(32446,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB185)) | v140(constB185))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32447,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB185) | (~v141(constB185))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32446, 32445])).
% 26.19/17.58 tff(32448,plain,
% 26.19/17.58 (v140(constB185)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32447, 24165, 32441])).
% 26.19/17.58 tff(32449,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB185)) | (~v140(constB185)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB185)) | (~v140(constB185)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32450,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB185)) | (~v140(constB185)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32451,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB185)) | (~v140(constB185))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32450, 32449])).
% 26.19/17.58 tff(32452,plain,
% 26.19/17.58 (~v138(constB185)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32451, 24221, 32448])).
% 26.19/17.58 tff(32453,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB185) | v142(constB185) | (~v135(constB185)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB185) | v142(constB185) | (~v135(constB185)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32454,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB185) | v142(constB185) | (~v135(constB185)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32455,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB185) | v142(constB185) | (~v135(constB185))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 26.19/17.58 tff(32456,plain,
% 26.19/17.58 (v142(constB185) | (~v135(constB185))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32455, 24247, 32452])).
% 26.19/17.58 tff(32457,plain,
% 26.19/17.58 (~v135(constB185)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32456, 32414])).
% 26.19/17.58 tff(32458,plain,
% 26.19/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32459,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32460,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB185, constB186)) | v135(constB185) | (~v137(constB186))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32459, 32458])).
% 26.19/17.58 tff(32461,plain,
% 26.19/17.58 (v135(constB185) | (~v137(constB186))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32460, 24262, 23549])).
% 26.19/17.58 tff(32462,plain,
% 26.19/17.58 (~v137(constB186)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32461, 32457])).
% 26.19/17.58 tff(32463,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB186) | (~v138(constB186)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB186) | (~v138(constB186)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32464,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB186) | (~v138(constB186)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32465,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB186) | (~v138(constB186))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32464, 32463])).
% 26.19/17.58 tff(32466,plain,
% 26.19/17.58 (~v138(constB186)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32465, 24277, 32462])).
% 26.19/17.58 tff(32467,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32468,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32469,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32468, 32467])).
% 26.19/17.58 tff(32470,plain,
% 26.19/17.58 (~v141(constB186)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32469, 24291, 23569])).
% 26.19/17.58 tff(32471,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB186) | (~v144(constB186)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB186) | (~v144(constB186)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32472,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB186) | (~v144(constB186)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32473,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB186) | (~v144(constB186))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32472, 32471])).
% 26.19/17.58 tff(32474,plain,
% 26.19/17.58 (~v144(constB186)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32473, 24305, 32470])).
% 26.19/17.58 tff(32475,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB186) | (~v142(constB186)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB186) | (~v142(constB186)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32476,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB186) | (~v142(constB186)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32477,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB186) | (~v142(constB186))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32476, 32475])).
% 26.19/17.58 tff(32478,plain,
% 26.19/17.58 (~v142(constB186)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32477, 2985, 32474])).
% 26.19/17.58 tff(32479,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB186) | v142(constB186) | (~v135(constB186)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB186) | v142(constB186) | (~v135(constB186)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32480,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB186) | v142(constB186) | (~v135(constB186)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32481,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB186) | v142(constB186) | (~v135(constB186))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32480, 32479])).
% 26.19/17.58 tff(32482,plain,
% 26.19/17.58 (v138(constB186) | (~v135(constB186))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32481, 24247, 32478])).
% 26.19/17.58 tff(32483,plain,
% 26.19/17.58 (~v135(constB186)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32482, 32466])).
% 26.19/17.58 tff(32484,plain,
% 26.19/17.58 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32485,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32486,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB186, constB187)) | v135(constB186) | (~v137(constB187))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32485, 32484])).
% 26.19/17.58 tff(32487,plain,
% 26.19/17.58 (v135(constB186) | (~v137(constB187))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32486, 24262, 23611])).
% 26.19/17.58 tff(32488,plain,
% 26.19/17.58 (~v137(constB187)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32487, 32483])).
% 26.19/17.58 tff(32489,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB187) | (~v153(constB187)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB187) | (~v153(constB187)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32490,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB187) | (~v153(constB187)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32491,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB187) | (~v153(constB187))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32490, 32489])).
% 26.19/17.58 tff(32492,plain,
% 26.19/17.58 (~v153(constB187)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32491, 24437, 32488])).
% 26.19/17.58 tff(32493,assumption,(v18(constB188)), introduced(assumption)).
% 26.19/17.58 tff(32494,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB188))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32495,plain,
% 26.19/17.58 ($false),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32494, 3012, 32493])).
% 26.19/17.58 tff(32496,plain,(~v18(constB188)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.58 tff(32497,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32498,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32499,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32498, 32497])).
% 26.19/17.58 tff(32500,plain,
% 26.19/17.58 (v22(constB188)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32499, 3028, 23762])).
% 26.19/17.58 tff(32501,plain,
% 26.19/17.58 (((~![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)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32502,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB188) | (~v22(constB188)) | (~v19(constB188)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32503,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB188) | (~v22(constB188)) | (~v19(constB188))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32502, 32501])).
% 26.19/17.58 tff(32504,plain,
% 26.19/17.58 (v18(constB188) | (~v19(constB188))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32503, 3042, 32500])).
% 26.19/17.58 tff(32505,plain,
% 26.19/17.58 (~v19(constB188)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32504, 32496])).
% 26.19/17.58 tff(32506,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32507,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32508,plain,
% 26.19/17.58 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188)),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32507, 32506])).
% 26.19/17.58 tff(32509,plain,
% 26.19/17.58 (v13(constB188)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32508, 3054, 32505])).
% 26.19/17.58 tff(32510,plain,
% 26.19/17.58 (((~![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)))),
% 26.19/17.58 inference(rewrite,[status(thm)],[])).
% 26.19/17.58 tff(32511,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188)))),
% 26.19/17.58 inference(quant_inst,[status(thm)],[])).
% 26.19/17.58 tff(32512,plain,
% 26.19/17.58 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB187) | (~v13(constB188)) | (~nextState(constB187, constB188))),
% 26.19/17.58 inference(modus_ponens,[status(thm)],[32511, 32510])).
% 26.19/17.58 tff(32513,plain,
% 26.19/17.58 (v9(constB187) | (~v13(constB188))),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32512, 3068, 23714])).
% 26.19/17.58 tff(32514,plain,
% 26.19/17.58 (v9(constB187)),
% 26.19/17.58 inference(unit_resolution,[status(thm)],[32513, 32509])).
% 26.19/17.58 tff(32515,plain,
% 26.19/17.58 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32516,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32517,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32516, 32515])).
% 26.19/17.59 tff(32518,plain,
% 26.19/17.59 ((~v9(constB187)) | v141(constB187)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32517, 3083, 23608])).
% 26.19/17.59 tff(32519,plain,
% 26.19/17.59 (v141(constB187)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32518, 32514])).
% 26.19/17.59 tff(32520,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB187)) | v140(constB187))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB187)) | v140(constB187))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32521,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB187)) | v140(constB187))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32522,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB187)) | v140(constB187)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32521, 32520])).
% 26.19/17.59 tff(32523,plain,
% 26.19/17.59 (v140(constB187)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32522, 24165, 32519])).
% 26.19/17.59 tff(32524,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB187)) | (~v155(constB187)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB187)) | (~v155(constB187)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32525,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB187)) | (~v155(constB187)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32526,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB187)) | (~v155(constB187))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32525, 32524])).
% 26.19/17.59 tff(32527,plain,
% 26.19/17.59 (~v155(constB187)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32526, 24482, 32523])).
% 26.19/17.59 tff(32528,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB187) | v155(constB187) | (~v150(constB187)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB187) | v155(constB187) | (~v150(constB187)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32529,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB187) | v155(constB187) | (~v150(constB187)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32530,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB187) | v155(constB187) | (~v150(constB187))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32529, 32528])).
% 26.19/17.59 tff(32531,plain,
% 26.19/17.59 (v153(constB187) | (~v150(constB187))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32530, 24496, 32527])).
% 26.19/17.59 tff(32532,plain,
% 26.19/17.59 (~v150(constB187)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32531, 32492])).
% 26.19/17.59 tff(32533,plain,
% 26.19/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32534,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32535,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB187, constB188)) | v150(constB187) | (~v152(constB188))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32534, 32533])).
% 26.19/17.59 tff(32536,plain,
% 26.19/17.59 (v150(constB187) | (~v152(constB188))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32535, 24511, 23714])).
% 26.19/17.59 tff(32537,plain,
% 26.19/17.59 (~v152(constB188)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32536, 32532])).
% 26.19/17.59 tff(32538,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB188) | (~v155(constB188)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB188) | (~v155(constB188)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32539,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB188) | (~v155(constB188)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32540,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB188) | (~v155(constB188))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32539, 32538])).
% 26.19/17.59 tff(32541,plain,
% 26.19/17.59 (~v155(constB188)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32540, 24526, 32537])).
% 26.19/17.59 tff(32542,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32543,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32544,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 26.19/17.59 tff(32545,plain,
% 26.19/17.59 (~v141(constB188)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32544, 24291, 23762])).
% 26.19/17.59 tff(32546,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB188) | (~v154(constB188)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB188) | (~v154(constB188)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32547,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB188) | (~v154(constB188)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32548,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB188) | (~v154(constB188))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32547, 32546])).
% 26.19/17.59 tff(32549,plain,
% 26.19/17.59 (~v154(constB188)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32548, 24544, 32545])).
% 26.19/17.59 tff(32550,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB188) | (~v153(constB188)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB188) | (~v153(constB188)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32551,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB188) | (~v153(constB188)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32552,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB188) | (~v153(constB188))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32551, 32550])).
% 26.19/17.59 tff(32553,plain,
% 26.19/17.59 (~v153(constB188)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32552, 24558, 32549])).
% 26.19/17.59 tff(32554,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB188) | v155(constB188) | (~v150(constB188)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB188) | v155(constB188) | (~v150(constB188)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32555,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB188) | v155(constB188) | (~v150(constB188)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32556,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB188) | v155(constB188) | (~v150(constB188))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32555, 32554])).
% 26.19/17.59 tff(32557,plain,
% 26.19/17.59 (v155(constB188) | (~v150(constB188))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32556, 24496, 32553])).
% 26.19/17.59 tff(32558,plain,
% 26.19/17.59 (~v150(constB188)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32557, 32541])).
% 26.19/17.59 tff(32559,plain,
% 26.19/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32560,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32561,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB188, constB189)) | v150(constB188) | (~v152(constB189))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32560, 32559])).
% 26.19/17.59 tff(32562,plain,
% 26.19/17.59 (v150(constB188) | (~v152(constB189))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32561, 24511, 23961])).
% 26.19/17.59 tff(32563,plain,
% 26.19/17.59 (~v152(constB189)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32562, 32558])).
% 26.19/17.59 tff(32564,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB189) | (~v164(constB189)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB189) | (~v164(constB189)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32565,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB189) | (~v164(constB189)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32566,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB189) | (~v164(constB189))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32565, 32564])).
% 26.19/17.59 tff(32567,plain,
% 26.19/17.59 (~v164(constB189)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32566, 24674, 32563])).
% 26.19/17.59 tff(32568,assumption,(v18(constB190)), introduced(assumption)).
% 26.19/17.59 tff(32569,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB190))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32570,plain,
% 26.19/17.59 ($false),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32569, 3012, 32568])).
% 26.19/17.59 tff(32571,plain,(~v18(constB190)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.59 tff(32572,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32573,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB190) | (~v1(constB190)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32574,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB190) | (~v1(constB190))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32573, 32572])).
% 26.19/17.59 tff(32575,plain,
% 26.19/17.59 (v22(constB190)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32574, 3028, 30019])).
% 26.19/17.59 tff(32576,plain,
% 26.19/17.59 (((~![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)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32577,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB190) | (~v22(constB190)) | (~v19(constB190)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32578,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB190) | (~v22(constB190)) | (~v19(constB190))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32577, 32576])).
% 26.19/17.59 tff(32579,plain,
% 26.19/17.59 (v18(constB190) | (~v19(constB190))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32578, 3042, 32575])).
% 26.19/17.59 tff(32580,plain,
% 26.19/17.59 (~v19(constB190)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32579, 32571])).
% 26.19/17.59 tff(32581,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32582,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB190) | v19(constB190))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32583,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB190) | v19(constB190)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32582, 32581])).
% 26.19/17.59 tff(32584,plain,
% 26.19/17.59 (v13(constB190)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32583, 3054, 32580])).
% 26.19/17.59 tff(32585,plain,
% 26.19/17.59 (((~![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)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32586,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32587,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB189) | (~v13(constB190)) | (~nextState(constB189, constB190))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32586, 32585])).
% 26.19/17.59 tff(32588,plain,
% 26.19/17.59 (v9(constB189) | (~v13(constB190))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32587, 3068, 29999])).
% 26.19/17.59 tff(32589,plain,
% 26.19/17.59 (v9(constB189)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32588, 32584])).
% 26.19/17.59 tff(32590,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v141(constB189))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB189) | (~v9(constB189)) | v141(constB189))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32591,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB189) | (~v9(constB189)) | v141(constB189))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32592,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB189) | (~v9(constB189)) | v141(constB189)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32591, 32590])).
% 26.19/17.59 tff(32593,plain,
% 26.19/17.59 ((~v9(constB189)) | v141(constB189)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32592, 3083, 23958])).
% 26.19/17.59 tff(32594,plain,
% 26.19/17.59 (v141(constB189)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32593, 32589])).
% 26.19/17.59 tff(32595,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB189)) | v140(constB189))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB189)) | v140(constB189))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32596,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB189)) | v140(constB189))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32597,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB189)) | v140(constB189)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32596, 32595])).
% 26.19/17.59 tff(32598,plain,
% 26.19/17.59 (v140(constB189)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32597, 24165, 32594])).
% 26.19/17.59 tff(32599,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB189)) | (~v163(constB189)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB189)) | (~v163(constB189)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32600,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB189)) | (~v163(constB189)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32601,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB189)) | (~v163(constB189))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32600, 32599])).
% 26.19/17.59 tff(32602,plain,
% 26.19/17.59 (~v163(constB189)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32601, 24179, 32598])).
% 26.19/17.59 tff(32603,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB189) | v164(constB189) | (~v160(constB189)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB189) | v164(constB189) | (~v160(constB189)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32604,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB189) | v164(constB189) | (~v160(constB189)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32605,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB189) | v164(constB189) | (~v160(constB189))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32604, 32603])).
% 26.19/17.59 tff(32606,plain,
% 26.19/17.59 (v164(constB189) | (~v160(constB189))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32605, 24688, 32602])).
% 26.19/17.59 tff(32607,plain,
% 26.19/17.59 (~v160(constB189)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32606, 32567])).
% 26.19/17.59 tff(32608,plain,
% 26.19/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32609,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32610,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB189, constB190)) | v160(constB189) | (~v162(constB190))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32609, 32608])).
% 26.19/17.59 tff(32611,plain,
% 26.19/17.59 (v160(constB189) | (~v162(constB190))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32610, 24703, 29999])).
% 26.19/17.59 tff(32612,plain,
% 26.19/17.59 (~v162(constB190)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32611, 32607])).
% 26.19/17.59 tff(32613,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB190) | (~v163(constB190)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB190) | (~v163(constB190)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32614,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB190) | (~v163(constB190)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32615,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB190) | (~v163(constB190))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32614, 32613])).
% 26.19/17.59 tff(32616,plain,
% 26.19/17.59 (~v163(constB190)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32615, 24718, 32612])).
% 26.19/17.59 tff(32617,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB190)) | (~v141(constB190)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB190)) | (~v141(constB190)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32618,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB190)) | (~v141(constB190)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32619,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB190)) | (~v141(constB190))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32618, 32617])).
% 26.19/17.59 tff(32620,plain,
% 26.19/17.59 (~v141(constB190)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32619, 24291, 30019])).
% 26.19/17.59 tff(32621,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB190) | (~v154(constB190)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB190) | (~v154(constB190)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32622,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB190) | (~v154(constB190)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32623,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB190) | (~v154(constB190))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32622, 32621])).
% 26.19/17.59 tff(32624,plain,
% 26.19/17.59 (~v154(constB190)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32623, 24544, 32620])).
% 26.19/17.59 tff(32625,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB190) | (~v164(constB190)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB190) | (~v164(constB190)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32626,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB190) | (~v164(constB190)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32627,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB190) | (~v164(constB190))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32626, 32625])).
% 26.19/17.59 tff(32628,plain,
% 26.19/17.59 (~v164(constB190)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32627, 24740, 32624])).
% 26.19/17.59 tff(32629,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB190) | v164(constB190) | (~v160(constB190)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB190) | v164(constB190) | (~v160(constB190)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32630,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB190) | v164(constB190) | (~v160(constB190)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32631,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB190) | v164(constB190) | (~v160(constB190))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32630, 32629])).
% 26.19/17.59 tff(32632,plain,
% 26.19/17.59 (v163(constB190) | (~v160(constB190))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32631, 24688, 32628])).
% 26.19/17.59 tff(32633,plain,
% 26.19/17.59 (~v160(constB190)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32632, 32616])).
% 26.19/17.59 tff(32634,plain,
% 26.19/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32635,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32636,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB190, constB191)) | v160(constB190) | (~v162(constB191))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32635, 32634])).
% 26.19/17.59 tff(32637,plain,
% 26.19/17.59 (v160(constB190) | (~v162(constB191))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32636, 24703, 30061])).
% 26.19/17.59 tff(32638,plain,
% 26.19/17.59 (~v162(constB191)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32637, 32633])).
% 26.19/17.59 tff(32639,plain,
% 26.19/17.59 ($false),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32638, 32402])).
% 26.19/17.59 tff(32640,plain,(~(constB191 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.59 tff(32641,assumption,(constB96 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.59 tff(32642,plain,
% 26.19/17.59 (v1(constB96) <=> v1(sK0_VarCurr)),
% 26.19/17.59 inference(monotonicity,[status(thm)],[32641])).
% 26.19/17.59 tff(32643,plain,
% 26.19/17.59 (v1(sK0_VarCurr) <=> v1(constB96)),
% 26.19/17.59 inference(symmetry,[status(thm)],[32642])).
% 26.19/17.59 tff(32644,plain,
% 26.19/17.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB96))),
% 26.19/17.59 inference(monotonicity,[status(thm)],[32643])).
% 26.19/17.59 tff(32645,plain,
% 26.19/17.59 (~v1(constB96)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[25472, 32644])).
% 26.19/17.59 tff(32646,plain,
% 26.19/17.59 ($false),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[11061, 32645])).
% 26.19/17.59 tff(32647,plain,(~(constB96 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.59 tff(32648,assumption,(constB76 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.59 tff(32649,plain,
% 26.19/17.59 (v1(constB76) <=> v1(sK0_VarCurr)),
% 26.19/17.59 inference(monotonicity,[status(thm)],[32648])).
% 26.19/17.59 tff(32650,plain,
% 26.19/17.59 (v1(sK0_VarCurr) <=> v1(constB76)),
% 26.19/17.59 inference(symmetry,[status(thm)],[32649])).
% 26.19/17.59 tff(32651,plain,
% 26.19/17.59 ((~v1(sK0_VarCurr)) <=> (~v1(constB76))),
% 26.19/17.59 inference(monotonicity,[status(thm)],[32650])).
% 26.19/17.59 tff(32652,plain,
% 26.19/17.59 (~v1(constB76)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[25472, 32651])).
% 26.19/17.59 tff(32653,plain,
% 26.19/17.59 ($false),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[8996, 32652])).
% 26.19/17.59 tff(32654,plain,(~(constB76 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.59 tff(32655,assumption,(constB185 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.59 tff(32656,plain,
% 26.19/17.59 (v162(constB185) <=> v162(sK0_VarCurr)),
% 26.19/17.59 inference(monotonicity,[status(thm)],[32655])).
% 26.19/17.59 tff(32657,plain,
% 26.19/17.59 (v162(sK0_VarCurr) <=> v162(constB185)),
% 26.19/17.59 inference(symmetry,[status(thm)],[32656])).
% 26.19/17.59 tff(32658,plain,
% 26.19/17.59 (v162(constB185)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[24130, 32657])).
% 26.19/17.59 tff(32659,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB179)) | (~v84(constB179, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB179)) | (~v84(constB179, bitIndex2)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32660,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB179)) | (~v84(constB179, bitIndex2)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32661,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB179)) | (~v84(constB179, bitIndex2))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32660, 32659])).
% 26.19/17.59 tff(32662,plain,
% 26.19/17.59 (~v145(constB179)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32661, 16179, 21958])).
% 26.19/17.59 tff(32663,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB179) | (~v144(constB179)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB179) | (~v144(constB179)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32664,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB179) | (~v144(constB179)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32665,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB179) | (~v144(constB179))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32664, 32663])).
% 26.19/17.59 tff(32666,plain,
% 26.19/17.59 (~v144(constB179)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32665, 2971, 32662])).
% 26.19/17.59 tff(32667,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB179) | (~v142(constB179)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB179) | (~v142(constB179)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32668,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB179) | (~v142(constB179)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32669,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB179) | (~v142(constB179))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32668, 32667])).
% 26.19/17.59 tff(32670,plain,
% 26.19/17.59 (~v142(constB179)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32669, 2985, 32666])).
% 26.19/17.59 tff(32671,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB179)) | (~v140(constB179)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB179)) | (~v140(constB179)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32672,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB179)) | (~v140(constB179)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32673,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB179)) | (~v140(constB179))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32672, 32671])).
% 26.19/17.59 tff(32674,plain,
% 26.19/17.59 (~v138(constB179)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32673, 24221, 26924])).
% 26.19/17.59 tff(32675,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB179) | v142(constB179) | (~v135(constB179)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB179) | v142(constB179) | (~v135(constB179)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32676,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB179) | v142(constB179) | (~v135(constB179)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32677,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB179) | v142(constB179) | (~v135(constB179))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32676, 32675])).
% 26.19/17.59 tff(32678,plain,
% 26.19/17.59 (v142(constB179) | (~v135(constB179))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32677, 24247, 32674])).
% 26.19/17.59 tff(32679,plain,
% 26.19/17.59 (~v135(constB179)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32678, 32670])).
% 26.19/17.59 tff(32680,plain,
% 26.19/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32681,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32682,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB179, constB180)) | v135(constB179) | (~v137(constB180))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32681, 32680])).
% 26.19/17.59 tff(32683,plain,
% 26.19/17.59 (v135(constB179) | (~v137(constB180))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32682, 24262, 22115])).
% 26.19/17.59 tff(32684,plain,
% 26.19/17.59 (~v137(constB180)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32683, 32679])).
% 26.19/17.59 tff(32685,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB180) | (~v138(constB180)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB180) | (~v138(constB180)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32686,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB180) | (~v138(constB180)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32687,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB180) | (~v138(constB180))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32686, 32685])).
% 26.19/17.59 tff(32688,plain,
% 26.19/17.59 (~v138(constB180)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32687, 24277, 32684])).
% 26.19/17.59 tff(32689,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB180) | (~v144(constB180)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB180) | (~v144(constB180)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32690,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB180) | (~v144(constB180)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32691,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB180) | (~v144(constB180))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32690, 32689])).
% 26.19/17.59 tff(32692,plain,
% 26.19/17.59 (~v144(constB180)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32691, 24305, 26946])).
% 26.19/17.59 tff(32693,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB180) | (~v142(constB180)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB180) | (~v142(constB180)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32694,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB180) | (~v142(constB180)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32695,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB180) | (~v142(constB180))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32694, 32693])).
% 26.19/17.59 tff(32696,plain,
% 26.19/17.59 (~v142(constB180)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32695, 2985, 32692])).
% 26.19/17.59 tff(32697,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB180) | v142(constB180) | (~v135(constB180)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB180) | v142(constB180) | (~v135(constB180)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32698,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB180) | v142(constB180) | (~v135(constB180)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32699,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB180) | v142(constB180) | (~v135(constB180))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32698, 32697])).
% 26.19/17.59 tff(32700,plain,
% 26.19/17.59 (v138(constB180) | (~v135(constB180))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32699, 24247, 32696])).
% 26.19/17.59 tff(32701,plain,
% 26.19/17.59 (~v135(constB180)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32700, 32688])).
% 26.19/17.59 tff(32702,plain,
% 26.19/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32703,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32704,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB180, constB181)) | v135(constB180) | (~v137(constB181))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32703, 32702])).
% 26.19/17.59 tff(32705,plain,
% 26.19/17.59 (v135(constB180) | (~v137(constB181))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32704, 24262, 22177])).
% 26.19/17.59 tff(32706,plain,
% 26.19/17.59 (~v137(constB181)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32705, 32701])).
% 26.19/17.59 tff(32707,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB181) | (~v153(constB181)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB181) | (~v153(constB181)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32708,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB181) | (~v153(constB181)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32709,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB181) | (~v153(constB181))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32708, 32707])).
% 26.19/17.59 tff(32710,plain,
% 26.19/17.59 (~v153(constB181)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32709, 24437, 32706])).
% 26.19/17.59 tff(32711,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB181)) | (~v155(constB181)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB181)) | (~v155(constB181)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32712,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB181)) | (~v155(constB181)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32713,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB181)) | (~v155(constB181))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32712, 32711])).
% 26.19/17.59 tff(32714,plain,
% 26.19/17.59 (~v155(constB181)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32713, 24482, 26999])).
% 26.19/17.59 tff(32715,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB181) | v155(constB181) | (~v150(constB181)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB181) | v155(constB181) | (~v150(constB181)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32716,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB181) | v155(constB181) | (~v150(constB181)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32717,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB181) | v155(constB181) | (~v150(constB181))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32716, 32715])).
% 26.19/17.59 tff(32718,plain,
% 26.19/17.59 (v153(constB181) | (~v150(constB181))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32717, 24496, 32714])).
% 26.19/17.59 tff(32719,plain,
% 26.19/17.59 (~v150(constB181)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32718, 32710])).
% 26.19/17.59 tff(32720,plain,
% 26.19/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32721,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32722,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB181, constB182)) | v150(constB181) | (~v152(constB182))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32721, 32720])).
% 26.19/17.59 tff(32723,plain,
% 26.19/17.59 (v150(constB181) | (~v152(constB182))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32722, 24511, 22275])).
% 26.19/17.59 tff(32724,plain,
% 26.19/17.59 (~v152(constB182)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32723, 32719])).
% 26.19/17.59 tff(32725,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB182) | (~v155(constB182)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB182) | (~v155(constB182)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32726,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB182) | (~v155(constB182)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32727,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB182) | (~v155(constB182))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32726, 32725])).
% 26.19/17.59 tff(32728,plain,
% 26.19/17.59 (~v155(constB182)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32727, 24526, 32724])).
% 26.19/17.59 tff(32729,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB182) | (~v153(constB182)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB182) | (~v153(constB182)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32730,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB182) | (~v153(constB182)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32731,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB182) | (~v153(constB182))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32730, 32729])).
% 26.19/17.59 tff(32732,plain,
% 26.19/17.59 (~v153(constB182)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32731, 24558, 27025])).
% 26.19/17.59 tff(32733,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB182) | v155(constB182) | (~v150(constB182)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB182) | v155(constB182) | (~v150(constB182)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32734,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB182) | v155(constB182) | (~v150(constB182)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32735,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB182) | v155(constB182) | (~v150(constB182))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32734, 32733])).
% 26.19/17.59 tff(32736,plain,
% 26.19/17.59 (v155(constB182) | (~v150(constB182))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32735, 24496, 32732])).
% 26.19/17.59 tff(32737,plain,
% 26.19/17.59 (~v150(constB182)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32736, 32728])).
% 26.19/17.59 tff(32738,plain,
% 26.19/17.59 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32739,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32740,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB182, constB183)) | v150(constB182) | (~v152(constB183))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32739, 32738])).
% 26.19/17.59 tff(32741,plain,
% 26.19/17.59 (v150(constB182) | (~v152(constB183))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32740, 24511, 23195])).
% 26.19/17.59 tff(32742,plain,
% 26.19/17.59 (~v152(constB183)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32741, 32737])).
% 26.19/17.59 tff(32743,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB183) | (~v164(constB183)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB183) | (~v164(constB183)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32744,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB183) | (~v164(constB183)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32745,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB183) | (~v164(constB183))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32744, 32743])).
% 26.19/17.59 tff(32746,plain,
% 26.19/17.59 (~v164(constB183)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32745, 24674, 32742])).
% 26.19/17.59 tff(32747,assumption,(v18(constB184)), introduced(assumption)).
% 26.19/17.59 tff(32748,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB184))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32749,plain,
% 26.19/17.59 ($false),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32748, 3012, 32747])).
% 26.19/17.59 tff(32750,plain,(~v18(constB184)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.59 tff(32751,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32752,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32753,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32752, 32751])).
% 26.19/17.59 tff(32754,plain,
% 26.19/17.59 (v22(constB184)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32753, 3028, 23366])).
% 26.19/17.59 tff(32755,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB184) | (~v22(constB184)) | (~v19(constB184)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB184) | (~v22(constB184)) | (~v19(constB184)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32756,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB184) | (~v22(constB184)) | (~v19(constB184)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32757,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB184) | (~v22(constB184)) | (~v19(constB184))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32756, 32755])).
% 26.19/17.59 tff(32758,plain,
% 26.19/17.59 (v18(constB184) | (~v19(constB184))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32757, 3042, 32754])).
% 26.19/17.59 tff(32759,plain,
% 26.19/17.59 (~v19(constB184)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32758, 32750])).
% 26.19/17.59 tff(32760,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32761,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32762,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32761, 32760])).
% 26.19/17.59 tff(32763,plain,
% 26.19/17.59 (v13(constB184)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32762, 3054, 32759])).
% 26.19/17.59 tff(32764,plain,
% 26.19/17.59 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32765,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32766,plain,
% 26.19/17.59 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB183) | (~v13(constB184)) | (~nextState(constB183, constB184))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32765, 32764])).
% 26.19/17.59 tff(32767,plain,
% 26.19/17.59 (v9(constB183) | (~v13(constB184))),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32766, 3068, 23346])).
% 26.19/17.59 tff(32768,plain,
% 26.19/17.59 (v9(constB183)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32767, 32763])).
% 26.19/17.59 tff(32769,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v141(constB183))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB183) | (~v9(constB183)) | v141(constB183))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32770,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v141(constB183))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32771,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB183) | (~v9(constB183)) | v141(constB183)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32770, 32769])).
% 26.19/17.59 tff(32772,plain,
% 26.19/17.59 ((~v9(constB183)) | v141(constB183)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32771, 3083, 23192])).
% 26.19/17.59 tff(32773,plain,
% 26.19/17.59 (v141(constB183)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32772, 32768])).
% 26.19/17.59 tff(32774,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB183)) | v140(constB183))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB183)) | v140(constB183))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32775,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB183)) | v140(constB183))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32776,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB183)) | v140(constB183)),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32775, 32774])).
% 26.19/17.59 tff(32777,plain,
% 26.19/17.59 (v140(constB183)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32776, 24165, 32773])).
% 26.19/17.59 tff(32778,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB183)) | (~v163(constB183)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB183)) | (~v163(constB183)))),
% 26.19/17.59 inference(rewrite,[status(thm)],[])).
% 26.19/17.59 tff(32779,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB183)) | (~v163(constB183)))),
% 26.19/17.59 inference(quant_inst,[status(thm)],[])).
% 26.19/17.59 tff(32780,plain,
% 26.19/17.59 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB183)) | (~v163(constB183))),
% 26.19/17.59 inference(modus_ponens,[status(thm)],[32779, 32778])).
% 26.19/17.59 tff(32781,plain,
% 26.19/17.59 (~v163(constB183)),
% 26.19/17.59 inference(unit_resolution,[status(thm)],[32780, 24179, 32777])).
% 26.19/17.59 tff(32782,plain,
% 26.19/17.59 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB183) | v164(constB183) | (~v160(constB183)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB183) | v164(constB183) | (~v160(constB183)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32783,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB183) | v164(constB183) | (~v160(constB183)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32784,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB183) | v164(constB183) | (~v160(constB183))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32783, 32782])).
% 26.19/17.60 tff(32785,plain,
% 26.19/17.60 (v164(constB183) | (~v160(constB183))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32784, 24688, 32781])).
% 26.19/17.60 tff(32786,plain,
% 26.19/17.60 (~v160(constB183)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32785, 32746])).
% 26.19/17.60 tff(32787,plain,
% 26.19/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32788,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32789,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB183, constB184)) | v160(constB183) | (~v162(constB184))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32788, 32787])).
% 26.19/17.60 tff(32790,plain,
% 26.19/17.60 (v160(constB183) | (~v162(constB184))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32789, 24703, 23346])).
% 26.19/17.60 tff(32791,plain,
% 26.19/17.60 (~v162(constB184)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32790, 32786])).
% 26.19/17.60 tff(32792,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB184) | (~v163(constB184)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB184) | (~v163(constB184)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32793,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB184) | (~v163(constB184)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32794,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB184) | (~v163(constB184))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32793, 32792])).
% 26.19/17.60 tff(32795,plain,
% 26.19/17.60 (~v163(constB184)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32794, 24718, 32791])).
% 26.19/17.60 tff(32796,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32797,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32798,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32797, 32796])).
% 26.19/17.60 tff(32799,plain,
% 26.19/17.60 (~v141(constB184)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32798, 24291, 23366])).
% 26.19/17.60 tff(32800,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB184) | (~v154(constB184)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB184) | (~v154(constB184)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32801,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB184) | (~v154(constB184)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32802,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB184) | (~v154(constB184))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32801, 32800])).
% 26.19/17.60 tff(32803,plain,
% 26.19/17.60 (~v154(constB184)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32802, 24544, 32799])).
% 26.19/17.60 tff(32804,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB184) | (~v164(constB184)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB184) | (~v164(constB184)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32805,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB184) | (~v164(constB184)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32806,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB184) | (~v164(constB184))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32805, 32804])).
% 26.19/17.60 tff(32807,plain,
% 26.19/17.60 (~v164(constB184)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32806, 24740, 32803])).
% 26.19/17.60 tff(32808,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB184) | v164(constB184) | (~v160(constB184)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB184) | v164(constB184) | (~v160(constB184)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32809,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB184) | v164(constB184) | (~v160(constB184)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32810,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB184) | v164(constB184) | (~v160(constB184))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32809, 32808])).
% 26.19/17.60 tff(32811,plain,
% 26.19/17.60 (v163(constB184) | (~v160(constB184))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32810, 24688, 32807])).
% 26.19/17.60 tff(32812,plain,
% 26.19/17.60 (~v160(constB184)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32811, 32795])).
% 26.19/17.60 tff(32813,plain,
% 26.19/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32814,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32815,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB184, constB185)) | v160(constB184) | (~v162(constB185))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32814, 32813])).
% 26.19/17.60 tff(32816,plain,
% 26.19/17.60 (v160(constB184) | (~v162(constB185))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32815, 24703, 23408])).
% 26.19/17.60 tff(32817,plain,
% 26.19/17.60 (~v162(constB185)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32816, 32812])).
% 26.19/17.60 tff(32818,plain,
% 26.19/17.60 ($false),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32817, 32658])).
% 26.19/17.60 tff(32819,plain,(~(constB185 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.60 tff(32820,assumption,(constB62 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.60 tff(32821,plain,
% 26.19/17.60 (v1(constB62) <=> v1(sK0_VarCurr)),
% 26.19/17.60 inference(monotonicity,[status(thm)],[32820])).
% 26.19/17.60 tff(32822,plain,
% 26.19/17.60 (v1(sK0_VarCurr) <=> v1(constB62)),
% 26.19/17.60 inference(symmetry,[status(thm)],[32821])).
% 26.19/17.60 tff(32823,plain,
% 26.19/17.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB62))),
% 26.19/17.60 inference(monotonicity,[status(thm)],[32822])).
% 26.19/17.60 tff(32824,plain,
% 26.19/17.60 (~v1(constB62)),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[25472, 32823])).
% 26.19/17.60 tff(32825,plain,
% 26.19/17.60 ($false),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[7431, 32824])).
% 26.19/17.60 tff(32826,plain,(~(constB62 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.60 tff(32827,assumption,(constB13 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.60 tff(32828,plain,
% 26.19/17.60 (v162(constB13) <=> v162(sK0_VarCurr)),
% 26.19/17.60 inference(monotonicity,[status(thm)],[32827])).
% 26.19/17.60 tff(32829,plain,
% 26.19/17.60 (v162(sK0_VarCurr) <=> v162(constB13)),
% 26.19/17.60 inference(symmetry,[status(thm)],[32828])).
% 26.19/17.60 tff(32830,plain,
% 26.19/17.60 (v162(constB13)),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[24130, 32829])).
% 26.19/17.60 tff(32831,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB7)) | (~v84(constB7, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB7)) | (~v84(constB7, bitIndex1)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32832,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB7)) | (~v84(constB7, bitIndex1)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32833,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB7)) | (~v84(constB7, bitIndex1))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32832, 32831])).
% 26.19/17.60 tff(32834,plain,
% 26.19/17.60 (~v145(constB7)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32833, 2018, 1133])).
% 26.19/17.60 tff(32835,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB7) | (~v144(constB7)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB7) | (~v144(constB7)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32836,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB7) | (~v144(constB7)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32837,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB7) | (~v144(constB7))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32836, 32835])).
% 26.19/17.60 tff(32838,plain,
% 26.19/17.60 (~v144(constB7)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32837, 2971, 32834])).
% 26.19/17.60 tff(32839,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB7) | (~v142(constB7)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB7) | (~v142(constB7)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32840,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB7) | (~v142(constB7)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32841,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB7) | (~v142(constB7))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32840, 32839])).
% 26.19/17.60 tff(32842,plain,
% 26.19/17.60 (~v142(constB7)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32841, 2985, 32838])).
% 26.19/17.60 tff(32843,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB7)) | (~v140(constB7)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB7)) | (~v140(constB7)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32844,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB7)) | (~v140(constB7)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32845,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB7)) | (~v140(constB7))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32844, 32843])).
% 26.19/17.60 tff(32846,plain,
% 26.19/17.60 (~v138(constB7)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32845, 24221, 27716])).
% 26.19/17.60 tff(32847,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB7) | v142(constB7) | (~v135(constB7)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB7) | v142(constB7) | (~v135(constB7)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32848,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB7) | v142(constB7) | (~v135(constB7)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32849,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB7) | v142(constB7) | (~v135(constB7))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32848, 32847])).
% 26.19/17.60 tff(32850,plain,
% 26.19/17.60 (v142(constB7) | (~v135(constB7))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32849, 24247, 32846])).
% 26.19/17.60 tff(32851,plain,
% 26.19/17.60 (~v135(constB7)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32850, 32842])).
% 26.19/17.60 tff(32852,plain,
% 26.19/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB7, constB8)) | v135(constB7) | (~v137(constB8)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB7, constB8)) | v135(constB7) | (~v137(constB8)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32853,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB7, constB8)) | v135(constB7) | (~v137(constB8)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32854,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB7, constB8)) | v135(constB7) | (~v137(constB8))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32853, 32852])).
% 26.19/17.60 tff(32855,plain,
% 26.19/17.60 (v135(constB7) | (~v137(constB8))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32854, 24262, 1232])).
% 26.19/17.60 tff(32856,plain,
% 26.19/17.60 (~v137(constB8)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32855, 32851])).
% 26.19/17.60 tff(32857,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB8) | (~v138(constB8)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB8) | (~v138(constB8)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32858,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB8) | (~v138(constB8)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32859,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB8) | (~v138(constB8))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32858, 32857])).
% 26.19/17.60 tff(32860,plain,
% 26.19/17.60 (~v138(constB8)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32859, 24277, 32856])).
% 26.19/17.60 tff(32861,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB8) | (~v144(constB8)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB8) | (~v144(constB8)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32862,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB8) | (~v144(constB8)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32863,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB8) | (~v144(constB8))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32862, 32861])).
% 26.19/17.60 tff(32864,plain,
% 26.19/17.60 (~v144(constB8)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32863, 24305, 27738])).
% 26.19/17.60 tff(32865,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB8) | (~v142(constB8)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB8) | (~v142(constB8)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32866,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB8) | (~v142(constB8)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32867,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB8) | (~v142(constB8))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32866, 32865])).
% 26.19/17.60 tff(32868,plain,
% 26.19/17.60 (~v142(constB8)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32867, 2985, 32864])).
% 26.19/17.60 tff(32869,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB8) | v142(constB8) | (~v135(constB8)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB8) | v142(constB8) | (~v135(constB8)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32870,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB8) | v142(constB8) | (~v135(constB8)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32871,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB8) | v142(constB8) | (~v135(constB8))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32870, 32869])).
% 26.19/17.60 tff(32872,plain,
% 26.19/17.60 (v138(constB8) | (~v135(constB8))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32871, 24247, 32868])).
% 26.19/17.60 tff(32873,plain,
% 26.19/17.60 (~v135(constB8)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32872, 32860])).
% 26.19/17.60 tff(32874,plain,
% 26.19/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB8, constB9)) | v135(constB8) | (~v137(constB9)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB8, constB9)) | v135(constB8) | (~v137(constB9)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32875,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB8, constB9)) | v135(constB8) | (~v137(constB9)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32876,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB8, constB9)) | v135(constB8) | (~v137(constB9))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32875, 32874])).
% 26.19/17.60 tff(32877,plain,
% 26.19/17.60 (v135(constB8) | (~v137(constB9))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32876, 24262, 1331])).
% 26.19/17.60 tff(32878,plain,
% 26.19/17.60 (~v137(constB9)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32877, 32873])).
% 26.19/17.60 tff(32879,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB9) | (~v153(constB9)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB9) | (~v153(constB9)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32880,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB9) | (~v153(constB9)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32881,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB9) | (~v153(constB9))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32880, 32879])).
% 26.19/17.60 tff(32882,plain,
% 26.19/17.60 (~v153(constB9)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32881, 24437, 32878])).
% 26.19/17.60 tff(32883,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB9) | (~v155(constB9)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB9) | (~v155(constB9)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32884,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB9) | (~v155(constB9)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32885,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB9) | (~v155(constB9))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32884, 32883])).
% 26.19/17.60 tff(32886,plain,
% 26.19/17.60 (~v155(constB9)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32885, 24526, 27756])).
% 26.19/17.60 tff(32887,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB9) | v155(constB9) | (~v150(constB9)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB9) | v155(constB9) | (~v150(constB9)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32888,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB9) | v155(constB9) | (~v150(constB9)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32889,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB9) | v155(constB9) | (~v150(constB9))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32888, 32887])).
% 26.19/17.60 tff(32890,plain,
% 26.19/17.60 (v153(constB9) | (~v150(constB9))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32889, 24496, 32886])).
% 26.19/17.60 tff(32891,plain,
% 26.19/17.60 (~v150(constB9)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32890, 32882])).
% 26.19/17.60 tff(32892,plain,
% 26.19/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB9, constB10)) | v150(constB9) | (~v152(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB9, constB10)) | v150(constB9) | (~v152(constB10)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32893,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB9, constB10)) | v150(constB9) | (~v152(constB10)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32894,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB9, constB10)) | v150(constB9) | (~v152(constB10))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32893, 32892])).
% 26.19/17.60 tff(32895,plain,
% 26.19/17.60 (v150(constB9) | (~v152(constB10))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32894, 24511, 1498])).
% 26.19/17.60 tff(32896,plain,
% 26.19/17.60 (~v152(constB10)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32895, 32891])).
% 26.19/17.60 tff(32897,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB10) | (~v155(constB10)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB10) | (~v155(constB10)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32898,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB10) | (~v155(constB10)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32899,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB10) | (~v155(constB10))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32898, 32897])).
% 26.19/17.60 tff(32900,plain,
% 26.19/17.60 (~v155(constB10)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32899, 24526, 32896])).
% 26.19/17.60 tff(32901,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB10) | (~v153(constB10)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB10) | (~v153(constB10)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32902,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB10) | (~v153(constB10)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32903,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB10) | (~v153(constB10))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32902, 32901])).
% 26.19/17.60 tff(32904,plain,
% 26.19/17.60 (~v153(constB10)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32903, 24558, 27782])).
% 26.19/17.60 tff(32905,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB10) | v155(constB10) | (~v150(constB10)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB10) | v155(constB10) | (~v150(constB10)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32906,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB10) | v155(constB10) | (~v150(constB10)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32907,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB10) | v155(constB10) | (~v150(constB10))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32906, 32905])).
% 26.19/17.60 tff(32908,plain,
% 26.19/17.60 (v155(constB10) | (~v150(constB10))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32907, 24496, 32904])).
% 26.19/17.60 tff(32909,plain,
% 26.19/17.60 (~v150(constB10)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32908, 32900])).
% 26.19/17.60 tff(32910,plain,
% 26.19/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB10, constB11)) | v150(constB10) | (~v152(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB10, constB11)) | v150(constB10) | (~v152(constB11)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32911,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB10, constB11)) | v150(constB10) | (~v152(constB11)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32912,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB10, constB11)) | v150(constB10) | (~v152(constB11))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32911, 32910])).
% 26.19/17.60 tff(32913,plain,
% 26.19/17.60 (v150(constB10) | (~v152(constB11))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32912, 24511, 1567])).
% 26.19/17.60 tff(32914,plain,
% 26.19/17.60 (~v152(constB11)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32913, 32909])).
% 26.19/17.60 tff(32915,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB11) | (~v164(constB11)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB11) | (~v164(constB11)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32916,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB11) | (~v164(constB11)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32917,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB11) | (~v164(constB11))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32916, 32915])).
% 26.19/17.60 tff(32918,plain,
% 26.19/17.60 (~v164(constB11)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32917, 24674, 32914])).
% 26.19/17.60 tff(32919,assumption,(v18(constB12)), introduced(assumption)).
% 26.19/17.60 tff(32920,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB12))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32921,plain,
% 26.19/17.60 ($false),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32920, 3012, 32919])).
% 26.19/17.60 tff(32922,plain,(~v18(constB12)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.60 tff(32923,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32924,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB12) | (~v1(constB12)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32925,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB12) | (~v1(constB12))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32924, 32923])).
% 26.19/17.60 tff(32926,plain,
% 26.19/17.60 (v22(constB12)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32925, 3028, 1740])).
% 26.19/17.60 tff(32927,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB12) | (~v22(constB12)) | (~v19(constB12)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB12) | (~v22(constB12)) | (~v19(constB12)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32928,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB12) | (~v22(constB12)) | (~v19(constB12)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32929,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB12) | (~v22(constB12)) | (~v19(constB12))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32928, 32927])).
% 26.19/17.60 tff(32930,plain,
% 26.19/17.60 (v18(constB12) | (~v19(constB12))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32929, 3042, 32926])).
% 26.19/17.60 tff(32931,plain,
% 26.19/17.60 (~v19(constB12)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32930, 32922])).
% 26.19/17.60 tff(32932,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32933,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB12) | v19(constB12))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32934,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB12) | v19(constB12)),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32933, 32932])).
% 26.19/17.60 tff(32935,plain,
% 26.19/17.60 (v13(constB12)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32934, 3054, 32931])).
% 26.19/17.60 tff(32936,plain,
% 26.19/17.60 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB11) | (~v13(constB12)) | (~nextState(constB11, constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB11) | (~v13(constB12)) | (~nextState(constB11, constB12)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32937,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB11) | (~v13(constB12)) | (~nextState(constB11, constB12)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32938,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB11) | (~v13(constB12)) | (~nextState(constB11, constB12))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32937, 32936])).
% 26.19/17.60 tff(32939,plain,
% 26.19/17.60 (v9(constB11) | (~v13(constB12))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32938, 3068, 1720])).
% 26.19/17.60 tff(32940,plain,
% 26.19/17.60 (v9(constB11)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32939, 32935])).
% 26.19/17.60 tff(32941,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v141(constB11))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB11) | (~v9(constB11)) | v141(constB11))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32942,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB11) | (~v9(constB11)) | v141(constB11))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32943,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB11) | (~v9(constB11)) | v141(constB11)),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32942, 32941])).
% 26.19/17.60 tff(32944,plain,
% 26.19/17.60 ((~v9(constB11)) | v141(constB11)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32943, 3083, 1564])).
% 26.19/17.60 tff(32945,plain,
% 26.19/17.60 (v141(constB11)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32944, 32940])).
% 26.19/17.60 tff(32946,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB11)) | v140(constB11))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB11)) | v140(constB11))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32947,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB11)) | v140(constB11))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32948,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB11)) | v140(constB11)),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32947, 32946])).
% 26.19/17.60 tff(32949,plain,
% 26.19/17.60 (v140(constB11)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32948, 24165, 32945])).
% 26.19/17.60 tff(32950,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB11)) | (~v163(constB11)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB11)) | (~v163(constB11)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32951,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB11)) | (~v163(constB11)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32952,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB11)) | (~v163(constB11))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32951, 32950])).
% 26.19/17.60 tff(32953,plain,
% 26.19/17.60 (~v163(constB11)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32952, 24179, 32949])).
% 26.19/17.60 tff(32954,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB11) | v164(constB11) | (~v160(constB11)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB11) | v164(constB11) | (~v160(constB11)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32955,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB11) | v164(constB11) | (~v160(constB11)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32956,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB11) | v164(constB11) | (~v160(constB11))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32955, 32954])).
% 26.19/17.60 tff(32957,plain,
% 26.19/17.60 (v164(constB11) | (~v160(constB11))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32956, 24688, 32953])).
% 26.19/17.60 tff(32958,plain,
% 26.19/17.60 (~v160(constB11)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32957, 32918])).
% 26.19/17.60 tff(32959,plain,
% 26.19/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB11, constB12)) | v160(constB11) | (~v162(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB11, constB12)) | v160(constB11) | (~v162(constB12)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32960,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB11, constB12)) | v160(constB11) | (~v162(constB12)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32961,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB11, constB12)) | v160(constB11) | (~v162(constB12))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32960, 32959])).
% 26.19/17.60 tff(32962,plain,
% 26.19/17.60 (v160(constB11) | (~v162(constB12))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32961, 24703, 1720])).
% 26.19/17.60 tff(32963,plain,
% 26.19/17.60 (~v162(constB12)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32962, 32958])).
% 26.19/17.60 tff(32964,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB12) | (~v163(constB12)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB12) | (~v163(constB12)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32965,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB12) | (~v163(constB12)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32966,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB12) | (~v163(constB12))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32965, 32964])).
% 26.19/17.60 tff(32967,plain,
% 26.19/17.60 (~v163(constB12)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32966, 24718, 32963])).
% 26.19/17.60 tff(32968,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB12)) | (~v141(constB12)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB12)) | (~v141(constB12)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32969,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB12)) | (~v141(constB12)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32970,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB12)) | (~v141(constB12))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32969, 32968])).
% 26.19/17.60 tff(32971,plain,
% 26.19/17.60 (~v141(constB12)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32970, 24291, 1740])).
% 26.19/17.60 tff(32972,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB12) | (~v154(constB12)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB12) | (~v154(constB12)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32973,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB12) | (~v154(constB12)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32974,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB12) | (~v154(constB12))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32973, 32972])).
% 26.19/17.60 tff(32975,plain,
% 26.19/17.60 (~v154(constB12)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32974, 24544, 32971])).
% 26.19/17.60 tff(32976,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB12) | (~v164(constB12)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB12) | (~v164(constB12)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32977,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB12) | (~v164(constB12)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32978,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB12) | (~v164(constB12))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32977, 32976])).
% 26.19/17.60 tff(32979,plain,
% 26.19/17.60 (~v164(constB12)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32978, 24740, 32975])).
% 26.19/17.60 tff(32980,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB12) | v164(constB12) | (~v160(constB12)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB12) | v164(constB12) | (~v160(constB12)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32981,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB12) | v164(constB12) | (~v160(constB12)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32982,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB12) | v164(constB12) | (~v160(constB12))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32981, 32980])).
% 26.19/17.60 tff(32983,plain,
% 26.19/17.60 (v163(constB12) | (~v160(constB12))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32982, 24688, 32979])).
% 26.19/17.60 tff(32984,plain,
% 26.19/17.60 (~v160(constB12)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32983, 32967])).
% 26.19/17.60 tff(32985,plain,
% 26.19/17.60 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB12, constB13)) | v160(constB12) | (~v162(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB12, constB13)) | v160(constB12) | (~v162(constB13)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(32986,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB12, constB13)) | v160(constB12) | (~v162(constB13)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(32987,plain,
% 26.19/17.60 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB12, constB13)) | v160(constB12) | (~v162(constB13))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[32986, 32985])).
% 26.19/17.60 tff(32988,plain,
% 26.19/17.60 (v160(constB12) | (~v162(constB13))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32987, 24703, 1789])).
% 26.19/17.60 tff(32989,plain,
% 26.19/17.60 (~v162(constB13)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32988, 32984])).
% 26.19/17.60 tff(32990,plain,
% 26.19/17.60 ($false),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[32989, 32830])).
% 26.19/17.60 tff(32991,plain,(~(constB13 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.60 tff(32992,assumption,(constB22 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.60 tff(32993,plain,
% 26.19/17.60 (v1(constB22) <=> v1(sK0_VarCurr)),
% 26.19/17.60 inference(monotonicity,[status(thm)],[32992])).
% 26.19/17.60 tff(32994,plain,
% 26.19/17.60 (v1(sK0_VarCurr) <=> v1(constB22)),
% 26.19/17.60 inference(symmetry,[status(thm)],[32993])).
% 26.19/17.60 tff(32995,plain,
% 26.19/17.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB22))),
% 26.19/17.60 inference(monotonicity,[status(thm)],[32994])).
% 26.19/17.60 tff(32996,plain,
% 26.19/17.60 (~v1(constB22)),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[25472, 32995])).
% 26.19/17.60 tff(32997,plain,
% 26.19/17.60 ($false),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[3018, 32996])).
% 26.19/17.60 tff(32998,plain,(~(constB22 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.60 tff(32999,assumption,(constB74 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.60 tff(33000,plain,
% 26.19/17.60 (v1(constB74) <=> v1(sK0_VarCurr)),
% 26.19/17.60 inference(monotonicity,[status(thm)],[32999])).
% 26.19/17.60 tff(33001,plain,
% 26.19/17.60 (v1(sK0_VarCurr) <=> v1(constB74)),
% 26.19/17.60 inference(symmetry,[status(thm)],[33000])).
% 26.19/17.60 tff(33002,plain,
% 26.19/17.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB74))),
% 26.19/17.60 inference(monotonicity,[status(thm)],[33001])).
% 26.19/17.60 tff(33003,plain,
% 26.19/17.60 (~v1(constB74)),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[25472, 33002])).
% 26.19/17.60 tff(33004,plain,
% 26.19/17.60 ($false),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[8695, 33003])).
% 26.19/17.60 tff(33005,plain,(~(constB74 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.60 tff(33006,assumption,(constB184 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.60 tff(33007,plain,
% 26.19/17.60 (v1(constB184) <=> v1(sK0_VarCurr)),
% 26.19/17.60 inference(monotonicity,[status(thm)],[33006])).
% 26.19/17.60 tff(33008,plain,
% 26.19/17.60 (v1(sK0_VarCurr) <=> v1(constB184)),
% 26.19/17.60 inference(symmetry,[status(thm)],[33007])).
% 26.19/17.60 tff(33009,plain,
% 26.19/17.60 ((~v1(sK0_VarCurr)) <=> (~v1(constB184))),
% 26.19/17.60 inference(monotonicity,[status(thm)],[33008])).
% 26.19/17.60 tff(33010,plain,
% 26.19/17.60 (~v1(constB184)),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[25472, 33009])).
% 26.19/17.60 tff(33011,plain,
% 26.19/17.60 ($false),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[23366, 33010])).
% 26.19/17.60 tff(33012,plain,(~(constB184 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.60 tff(33013,assumption,(constB133 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.60 tff(33014,plain,
% 26.19/17.60 (v162(constB133) <=> v162(sK0_VarCurr)),
% 26.19/17.60 inference(monotonicity,[status(thm)],[33013])).
% 26.19/17.60 tff(33015,plain,
% 26.19/17.60 (v162(sK0_VarCurr) <=> v162(constB133)),
% 26.19/17.60 inference(symmetry,[status(thm)],[33014])).
% 26.19/17.60 tff(33016,plain,
% 26.19/17.60 (v162(constB133)),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[24130, 33015])).
% 26.19/17.60 tff(33017,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB127)) | (~v84(constB127, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB127)) | (~v84(constB127, bitIndex1)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(33018,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB127)) | (~v84(constB127, bitIndex1)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(33019,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB127)) | (~v84(constB127, bitIndex1))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[33018, 33017])).
% 26.19/17.60 tff(33020,plain,
% 26.19/17.60 (~v145(constB127)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[33019, 2018, 14375])).
% 26.19/17.60 tff(33021,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB127) | (~v144(constB127)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB127) | (~v144(constB127)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(33022,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB127) | (~v144(constB127)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(33023,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB127) | (~v144(constB127))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[33022, 33021])).
% 26.19/17.60 tff(33024,plain,
% 26.19/17.60 (~v144(constB127)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[33023, 2971, 33020])).
% 26.19/17.60 tff(33025,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB127) | (~v142(constB127)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB127) | (~v142(constB127)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(33026,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB127) | (~v142(constB127)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(33027,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB127) | (~v142(constB127))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[33026, 33025])).
% 26.19/17.60 tff(33028,plain,
% 26.19/17.60 (~v142(constB127)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[33027, 2985, 33024])).
% 26.19/17.60 tff(33029,assumption,(v18(constB128)), introduced(assumption)).
% 26.19/17.60 tff(33030,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB128))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(33031,plain,
% 26.19/17.60 ($false),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[33030, 3012, 33029])).
% 26.19/17.60 tff(33032,plain,(~v18(constB128)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.60 tff(33033,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(33034,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB128) | (~v1(constB128)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(33035,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB128) | (~v1(constB128))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[33034, 33033])).
% 26.19/17.60 tff(33036,plain,
% 26.19/17.60 (v22(constB128)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[33035, 3028, 14474])).
% 26.19/17.60 tff(33037,plain,
% 26.19/17.60 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB128) | (~v22(constB128)) | (~v19(constB128)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB128) | (~v22(constB128)) | (~v19(constB128)))),
% 26.19/17.60 inference(rewrite,[status(thm)],[])).
% 26.19/17.60 tff(33038,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB128) | (~v22(constB128)) | (~v19(constB128)))),
% 26.19/17.60 inference(quant_inst,[status(thm)],[])).
% 26.19/17.60 tff(33039,plain,
% 26.19/17.60 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB128) | (~v22(constB128)) | (~v19(constB128))),
% 26.19/17.60 inference(modus_ponens,[status(thm)],[33038, 33037])).
% 26.19/17.60 tff(33040,plain,
% 26.19/17.60 (v18(constB128) | (~v19(constB128))),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[33039, 3042, 33036])).
% 26.19/17.60 tff(33041,plain,
% 26.19/17.60 (~v19(constB128)),
% 26.19/17.60 inference(unit_resolution,[status(thm)],[33040, 33032])).
% 26.19/17.61 tff(33042,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33043,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB128) | v19(constB128))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33044,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB128) | v19(constB128)),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33043, 33042])).
% 26.19/17.61 tff(33045,plain,
% 26.19/17.61 (v13(constB128)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33044, 3054, 33041])).
% 26.19/17.61 tff(33046,plain,
% 26.19/17.61 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33047,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33048,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB127) | (~v13(constB128)) | (~nextState(constB127, constB128))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33047, 33046])).
% 26.19/17.61 tff(33049,plain,
% 26.19/17.61 (v9(constB127) | (~v13(constB128))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33048, 3068, 14454])).
% 26.19/17.61 tff(33050,plain,
% 26.19/17.61 (v9(constB127)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33049, 33045])).
% 26.19/17.61 tff(33051,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v141(constB127))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB127) | (~v9(constB127)) | v141(constB127))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33052,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB127) | (~v9(constB127)) | v141(constB127))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33053,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB127) | (~v9(constB127)) | v141(constB127)),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33052, 33051])).
% 26.19/17.61 tff(33054,plain,
% 26.19/17.61 ((~v9(constB127)) | v141(constB127)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33053, 3083, 14320])).
% 26.19/17.61 tff(33055,plain,
% 26.19/17.61 (v141(constB127)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33054, 33050])).
% 26.19/17.61 tff(33056,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB127) | (~v141(constB127)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB127) | (~v141(constB127)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33057,plain,
% 26.19/17.61 (((~v141(constB127)) | v140(constB127)) <=> (v140(constB127) | (~v141(constB127)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33058,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB127)) | v140(constB127))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB127) | (~v141(constB127))))),
% 26.19/17.61 inference(monotonicity,[status(thm)],[33057])).
% 26.19/17.61 tff(33059,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB127)) | v140(constB127))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB127) | (~v141(constB127)))),
% 26.19/17.61 inference(transitivity,[status(thm)],[33058, 33056])).
% 26.19/17.61 tff(33060,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB127)) | v140(constB127))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33061,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB127) | (~v141(constB127))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33060, 33059])).
% 26.19/17.61 tff(33062,plain,
% 26.19/17.61 (v140(constB127)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33061, 24165, 33055])).
% 26.19/17.61 tff(33063,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB127)) | (~v140(constB127)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB127)) | (~v140(constB127)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33064,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB127)) | (~v140(constB127)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33065,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB127)) | (~v140(constB127))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33064, 33063])).
% 26.19/17.61 tff(33066,plain,
% 26.19/17.61 (~v138(constB127)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33065, 24221, 33062])).
% 26.19/17.61 tff(33067,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB127) | v142(constB127) | (~v135(constB127)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB127) | v142(constB127) | (~v135(constB127)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33068,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB127) | v142(constB127) | (~v135(constB127)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33069,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB127) | v142(constB127) | (~v135(constB127))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33068, 33067])).
% 26.19/17.61 tff(33070,plain,
% 26.19/17.61 (v142(constB127) | (~v135(constB127))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33069, 24247, 33066])).
% 26.19/17.61 tff(33071,plain,
% 26.19/17.61 (~v135(constB127)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33070, 33028])).
% 26.19/17.61 tff(33072,plain,
% 26.19/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB127, constB128)) | v135(constB127) | (~v137(constB128)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB127, constB128)) | v135(constB127) | (~v137(constB128)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33073,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB127, constB128)) | v135(constB127) | (~v137(constB128)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33074,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB127, constB128)) | v135(constB127) | (~v137(constB128))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33073, 33072])).
% 26.19/17.61 tff(33075,plain,
% 26.19/17.61 (v135(constB127) | (~v137(constB128))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33074, 24262, 14454])).
% 26.19/17.61 tff(33076,plain,
% 26.19/17.61 (~v137(constB128)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33075, 33071])).
% 26.19/17.61 tff(33077,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB128) | (~v138(constB128)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB128) | (~v138(constB128)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33078,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB128) | (~v138(constB128)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33079,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB128) | (~v138(constB128))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33078, 33077])).
% 26.19/17.61 tff(33080,plain,
% 26.19/17.61 (~v138(constB128)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33079, 24277, 33076])).
% 26.19/17.61 tff(33081,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB128)) | (~v141(constB128)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB128)) | (~v141(constB128)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33082,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB128)) | (~v141(constB128)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33083,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB128)) | (~v141(constB128))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33082, 33081])).
% 26.19/17.61 tff(33084,plain,
% 26.19/17.61 (~v141(constB128)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33083, 24291, 14474])).
% 26.19/17.61 tff(33085,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB128) | (~v144(constB128)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB128) | (~v144(constB128)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33086,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB128) | (~v144(constB128)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33087,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB128) | (~v144(constB128))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33086, 33085])).
% 26.19/17.61 tff(33088,plain,
% 26.19/17.61 (~v144(constB128)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33087, 24305, 33084])).
% 26.19/17.61 tff(33089,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB128) | (~v142(constB128)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB128) | (~v142(constB128)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33090,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB128) | (~v142(constB128)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33091,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB128) | (~v142(constB128))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33090, 33089])).
% 26.19/17.61 tff(33092,plain,
% 26.19/17.61 (~v142(constB128)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33091, 2985, 33088])).
% 26.19/17.61 tff(33093,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB128) | v142(constB128) | (~v135(constB128)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB128) | v142(constB128) | (~v135(constB128)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33094,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB128) | v142(constB128) | (~v135(constB128)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33095,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB128) | v142(constB128) | (~v135(constB128))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33094, 33093])).
% 26.19/17.61 tff(33096,plain,
% 26.19/17.61 (v138(constB128) | (~v135(constB128))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33095, 24247, 33092])).
% 26.19/17.61 tff(33097,plain,
% 26.19/17.61 (~v135(constB128)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33096, 33080])).
% 26.19/17.61 tff(33098,plain,
% 26.19/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB128, constB129)) | v135(constB128) | (~v137(constB129)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB128, constB129)) | v135(constB128) | (~v137(constB129)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33099,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB128, constB129)) | v135(constB128) | (~v137(constB129)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33100,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB128, constB129)) | v135(constB128) | (~v137(constB129))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33099, 33098])).
% 26.19/17.61 tff(33101,plain,
% 26.19/17.61 (v135(constB128) | (~v137(constB129))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33100, 24262, 14516])).
% 26.19/17.61 tff(33102,plain,
% 26.19/17.61 (~v137(constB129)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33101, 33097])).
% 26.19/17.61 tff(33103,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB129) | (~v153(constB129)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB129) | (~v153(constB129)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33104,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB129) | (~v153(constB129)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33105,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB129) | (~v153(constB129))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33104, 33103])).
% 26.19/17.61 tff(33106,plain,
% 26.19/17.61 (~v153(constB129)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33105, 24437, 33102])).
% 26.19/17.61 tff(33107,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB129)) | (~v155(constB129)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB129)) | (~v155(constB129)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33108,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB129)) | (~v155(constB129)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33109,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB129)) | (~v155(constB129))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33108, 33107])).
% 26.19/17.61 tff(33110,plain,
% 26.19/17.61 (~v155(constB129)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33109, 24482, 28250])).
% 26.19/17.61 tff(33111,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB129) | v155(constB129) | (~v150(constB129)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB129) | v155(constB129) | (~v150(constB129)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33112,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB129) | v155(constB129) | (~v150(constB129)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33113,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB129) | v155(constB129) | (~v150(constB129))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33112, 33111])).
% 26.19/17.61 tff(33114,plain,
% 26.19/17.61 (v153(constB129) | (~v150(constB129))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33113, 24496, 33110])).
% 26.19/17.61 tff(33115,plain,
% 26.19/17.61 (~v150(constB129)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33114, 33106])).
% 26.19/17.61 tff(33116,plain,
% 26.19/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB129, constB130)) | v150(constB129) | (~v152(constB130)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB129, constB130)) | v150(constB129) | (~v152(constB130)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33117,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB129, constB130)) | v150(constB129) | (~v152(constB130)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33118,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB129, constB130)) | v150(constB129) | (~v152(constB130))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33117, 33116])).
% 26.19/17.61 tff(33119,plain,
% 26.19/17.61 (v150(constB129) | (~v152(constB130))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33118, 24511, 14649])).
% 26.19/17.61 tff(33120,plain,
% 26.19/17.61 (~v152(constB130)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33119, 33115])).
% 26.19/17.61 tff(33121,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB130) | (~v155(constB130)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB130) | (~v155(constB130)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33122,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB130) | (~v155(constB130)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33123,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB130) | (~v155(constB130))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33122, 33121])).
% 26.19/17.61 tff(33124,plain,
% 26.19/17.61 (~v155(constB130)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33123, 24526, 33120])).
% 26.19/17.61 tff(33125,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB130) | (~v154(constB130)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB130) | (~v154(constB130)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33126,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB130) | (~v154(constB130)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33127,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB130) | (~v154(constB130))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33126, 33125])).
% 26.19/17.61 tff(33128,plain,
% 26.19/17.61 (~v154(constB130)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33127, 24544, 28272])).
% 26.19/17.61 tff(33129,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB130) | (~v153(constB130)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB130) | (~v153(constB130)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33130,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB130) | (~v153(constB130)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33131,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB130) | (~v153(constB130))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33130, 33129])).
% 26.19/17.61 tff(33132,plain,
% 26.19/17.61 (~v153(constB130)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33131, 24558, 33128])).
% 26.19/17.61 tff(33133,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB130) | v155(constB130) | (~v150(constB130)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB130) | v155(constB130) | (~v150(constB130)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33134,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB130) | v155(constB130) | (~v150(constB130)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33135,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB130) | v155(constB130) | (~v150(constB130))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33134, 33133])).
% 26.19/17.61 tff(33136,plain,
% 26.19/17.61 (v155(constB130) | (~v150(constB130))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33135, 24496, 33132])).
% 26.19/17.61 tff(33137,plain,
% 26.19/17.61 (~v150(constB130)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33136, 33124])).
% 26.19/17.61 tff(33138,plain,
% 26.19/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB130, constB131)) | v150(constB130) | (~v152(constB131)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB130, constB131)) | v150(constB130) | (~v152(constB131)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33139,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB130, constB131)) | v150(constB130) | (~v152(constB131)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33140,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB130, constB131)) | v150(constB130) | (~v152(constB131))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33139, 33138])).
% 26.19/17.61 tff(33141,plain,
% 26.19/17.61 (v150(constB130) | (~v152(constB131))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33140, 24511, 14711])).
% 26.19/17.61 tff(33142,plain,
% 26.19/17.61 (~v152(constB131)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33141, 33137])).
% 26.19/17.61 tff(33143,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB131) | (~v164(constB131)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB131) | (~v164(constB131)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33144,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB131) | (~v164(constB131)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33145,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB131) | (~v164(constB131))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33144, 33143])).
% 26.19/17.61 tff(33146,plain,
% 26.19/17.61 (~v164(constB131)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33145, 24674, 33142])).
% 26.19/17.61 tff(33147,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB131)) | (~v163(constB131)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB131)) | (~v163(constB131)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33148,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB131)) | (~v163(constB131)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33149,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB131)) | (~v163(constB131))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33148, 33147])).
% 26.19/17.61 tff(33150,plain,
% 26.19/17.61 (~v163(constB131)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33149, 24179, 28088])).
% 26.19/17.61 tff(33151,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB131) | v164(constB131) | (~v160(constB131)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB131) | v164(constB131) | (~v160(constB131)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33152,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB131) | v164(constB131) | (~v160(constB131)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33153,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB131) | v164(constB131) | (~v160(constB131))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33152, 33151])).
% 26.19/17.61 tff(33154,plain,
% 26.19/17.61 (v164(constB131) | (~v160(constB131))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33153, 24688, 33150])).
% 26.19/17.61 tff(33155,plain,
% 26.19/17.61 (~v160(constB131)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33154, 33146])).
% 26.19/17.61 tff(33156,plain,
% 26.19/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB131, constB132)) | v160(constB131) | (~v162(constB132)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB131, constB132)) | v160(constB131) | (~v162(constB132)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33157,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB131, constB132)) | v160(constB131) | (~v162(constB132)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33158,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB131, constB132)) | v160(constB131) | (~v162(constB132))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33157, 33156])).
% 26.19/17.61 tff(33159,plain,
% 26.19/17.61 (v160(constB131) | (~v162(constB132))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33158, 24703, 14841])).
% 26.19/17.61 tff(33160,plain,
% 26.19/17.61 (~v162(constB132)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33159, 33155])).
% 26.19/17.61 tff(33161,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB132) | (~v163(constB132)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB132) | (~v163(constB132)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33162,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB132) | (~v163(constB132)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33163,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB132) | (~v163(constB132))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33162, 33161])).
% 26.19/17.61 tff(33164,plain,
% 26.19/17.61 (~v163(constB132)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33163, 24718, 33160])).
% 26.19/17.61 tff(33165,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB132) | (~v164(constB132)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB132) | (~v164(constB132)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33166,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB132) | (~v164(constB132)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33167,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB132) | (~v164(constB132))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33166, 33165])).
% 26.19/17.61 tff(33168,plain,
% 26.19/17.61 (~v164(constB132)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33167, 24740, 28316])).
% 26.19/17.61 tff(33169,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB132) | v164(constB132) | (~v160(constB132)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB132) | v164(constB132) | (~v160(constB132)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33170,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB132) | v164(constB132) | (~v160(constB132)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33171,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB132) | v164(constB132) | (~v160(constB132))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33170, 33169])).
% 26.19/17.61 tff(33172,plain,
% 26.19/17.61 (v163(constB132) | (~v160(constB132))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33171, 24688, 33168])).
% 26.19/17.61 tff(33173,plain,
% 26.19/17.61 (~v160(constB132)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33172, 33164])).
% 26.19/17.61 tff(33174,plain,
% 26.19/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB132, constB133)) | v160(constB132) | (~v162(constB133)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB132, constB133)) | v160(constB132) | (~v162(constB133)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33175,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB132, constB133)) | v160(constB132) | (~v162(constB133)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33176,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB132, constB133)) | v160(constB132) | (~v162(constB133))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33175, 33174])).
% 26.19/17.61 tff(33177,plain,
% 26.19/17.61 (v160(constB132) | (~v162(constB133))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33176, 24703, 14907])).
% 26.19/17.61 tff(33178,plain,
% 26.19/17.61 (~v162(constB133)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33177, 33173])).
% 26.19/17.61 tff(33179,plain,
% 26.19/17.61 ($false),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33178, 33016])).
% 26.19/17.61 tff(33180,plain,(~(constB133 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.61 tff(33181,assumption,(constB198 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.61 tff(33182,plain,
% 26.19/17.61 (v1(constB198) <=> v1(sK0_VarCurr)),
% 26.19/17.61 inference(monotonicity,[status(thm)],[33181])).
% 26.19/17.61 tff(33183,plain,
% 26.19/17.61 (v1(sK0_VarCurr) <=> v1(constB198)),
% 26.19/17.61 inference(symmetry,[status(thm)],[33182])).
% 26.19/17.61 tff(33184,plain,
% 26.19/17.61 ((~v1(sK0_VarCurr)) <=> (~v1(constB198))),
% 26.19/17.61 inference(monotonicity,[status(thm)],[33183])).
% 26.19/17.61 tff(33185,plain,
% 26.19/17.61 (~v1(constB198)),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[25472, 33184])).
% 26.19/17.61 tff(33186,plain,
% 26.19/17.61 ($false),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[30509, 33185])).
% 26.19/17.61 tff(33187,plain,(~(constB198 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.61 tff(33188,assumption,(constB2 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.61 tff(33189,plain,
% 26.19/17.61 (v1(constB2) <=> v1(sK0_VarCurr)),
% 26.19/17.61 inference(monotonicity,[status(thm)],[33188])).
% 26.19/17.61 tff(33190,plain,
% 26.19/17.61 (v1(sK0_VarCurr) <=> v1(constB2)),
% 26.19/17.61 inference(symmetry,[status(thm)],[33189])).
% 26.19/17.61 tff(33191,plain,
% 26.19/17.61 ((~v1(sK0_VarCurr)) <=> (~v1(constB2))),
% 26.19/17.61 inference(monotonicity,[status(thm)],[33190])).
% 26.19/17.61 tff(33192,plain,
% 26.19/17.61 (~v1(constB2)),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[25472, 33191])).
% 26.19/17.61 tff(33193,plain,
% 26.19/17.61 ($false),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[335, 33192])).
% 26.19/17.61 tff(33194,plain,(~(constB2 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.61 tff(33195,assumption,(constB38 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.61 tff(33196,plain,
% 26.19/17.61 (v1(constB38) <=> v1(sK0_VarCurr)),
% 26.19/17.61 inference(monotonicity,[status(thm)],[33195])).
% 26.19/17.61 tff(33197,plain,
% 26.19/17.61 (v1(sK0_VarCurr) <=> v1(constB38)),
% 26.19/17.61 inference(symmetry,[status(thm)],[33196])).
% 26.19/17.61 tff(33198,plain,
% 26.19/17.61 ((~v1(sK0_VarCurr)) <=> (~v1(constB38))),
% 26.19/17.61 inference(monotonicity,[status(thm)],[33197])).
% 26.19/17.61 tff(33199,plain,
% 26.19/17.61 (~v1(constB38)),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[25472, 33198])).
% 26.19/17.61 tff(33200,plain,
% 26.19/17.61 ($false),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[4961, 33199])).
% 26.19/17.61 tff(33201,plain,(~(constB38 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.61 tff(33202,assumption,(constB151 = sK0_VarCurr), introduced(assumption)).
% 26.19/17.61 tff(33203,plain,
% 26.19/17.61 (v162(constB151) <=> v162(sK0_VarCurr)),
% 26.19/17.61 inference(monotonicity,[status(thm)],[33202])).
% 26.19/17.61 tff(33204,plain,
% 26.19/17.61 (v162(sK0_VarCurr) <=> v162(constB151)),
% 26.19/17.61 inference(symmetry,[status(thm)],[33203])).
% 26.19/17.61 tff(33205,plain,
% 26.19/17.61 (v162(constB151)),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[24130, 33204])).
% 26.19/17.61 tff(33206,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB145) | (~v144(constB145)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB145) | (~v144(constB145)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33207,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB145) | (~v144(constB145)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33208,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB145) | (~v144(constB145))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33207, 33206])).
% 26.19/17.61 tff(33209,plain,
% 26.19/17.61 (~v144(constB145)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33208, 2971, 16582])).
% 26.19/17.61 tff(33210,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB145) | (~v142(constB145)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB145) | (~v142(constB145)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33211,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB145) | (~v142(constB145)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33212,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB145) | (~v142(constB145))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33211, 33210])).
% 26.19/17.61 tff(33213,plain,
% 26.19/17.61 (~v142(constB145)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33212, 2985, 33209])).
% 26.19/17.61 tff(33214,assumption,(v18(constB146)), introduced(assumption)).
% 26.19/17.61 tff(33215,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB146))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33216,plain,
% 26.19/17.61 ($false),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33215, 3012, 33214])).
% 26.19/17.61 tff(33217,plain,(~v18(constB146)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.61 tff(33218,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33219,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB146) | (~v1(constB146)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33220,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB146) | (~v1(constB146))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33219, 33218])).
% 26.19/17.61 tff(33221,plain,
% 26.19/17.61 (v22(constB146)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33220, 3028, 16622])).
% 26.19/17.61 tff(33222,plain,
% 26.19/17.61 (((~![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)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33223,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB146) | (~v22(constB146)) | (~v19(constB146)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33224,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB146) | (~v22(constB146)) | (~v19(constB146))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33223, 33222])).
% 26.19/17.61 tff(33225,plain,
% 26.19/17.61 (v18(constB146) | (~v19(constB146))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33224, 3042, 33221])).
% 26.19/17.61 tff(33226,plain,
% 26.19/17.61 (~v19(constB146)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33225, 33217])).
% 26.19/17.61 tff(33227,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33228,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB146) | v19(constB146))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33229,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB146) | v19(constB146)),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33228, 33227])).
% 26.19/17.61 tff(33230,plain,
% 26.19/17.61 (v13(constB146)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33229, 3054, 33226])).
% 26.19/17.61 tff(33231,plain,
% 26.19/17.61 (((~![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)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33232,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33233,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB145) | (~v13(constB146)) | (~nextState(constB145, constB146))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33232, 33231])).
% 26.19/17.61 tff(33234,plain,
% 26.19/17.61 (v9(constB145) | (~v13(constB146))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33233, 3068, 16604])).
% 26.19/17.61 tff(33235,plain,
% 26.19/17.61 (v9(constB145)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33234, 33230])).
% 26.19/17.61 tff(33236,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v141(constB145))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB145) | (~v9(constB145)) | v141(constB145))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33237,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB145) | (~v9(constB145)) | v141(constB145))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33238,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB145) | (~v9(constB145)) | v141(constB145)),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33237, 33236])).
% 26.19/17.61 tff(33239,plain,
% 26.19/17.61 ((~v9(constB145)) | v141(constB145)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33238, 3083, 16503])).
% 26.19/17.61 tff(33240,plain,
% 26.19/17.61 (v141(constB145)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33239, 33235])).
% 26.19/17.61 tff(33241,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB145) | (~v141(constB145)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB145) | (~v141(constB145)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33242,plain,
% 26.19/17.61 (((~v141(constB145)) | v140(constB145)) <=> (v140(constB145) | (~v141(constB145)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33243,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB145)) | v140(constB145))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB145) | (~v141(constB145))))),
% 26.19/17.61 inference(monotonicity,[status(thm)],[33242])).
% 26.19/17.61 tff(33244,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB145)) | v140(constB145))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB145) | (~v141(constB145)))),
% 26.19/17.61 inference(transitivity,[status(thm)],[33243, 33241])).
% 26.19/17.61 tff(33245,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB145)) | v140(constB145))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33246,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB145) | (~v141(constB145))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33245, 33244])).
% 26.19/17.61 tff(33247,plain,
% 26.19/17.61 (v140(constB145)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33246, 24165, 33240])).
% 26.19/17.61 tff(33248,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB145)) | (~v140(constB145)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB145)) | (~v140(constB145)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33249,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB145)) | (~v140(constB145)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33250,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB145)) | (~v140(constB145))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33249, 33248])).
% 26.19/17.61 tff(33251,plain,
% 26.19/17.61 (~v138(constB145)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33250, 24221, 33247])).
% 26.19/17.61 tff(33252,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB145) | v142(constB145) | (~v135(constB145)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB145) | v142(constB145) | (~v135(constB145)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33253,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB145) | v142(constB145) | (~v135(constB145)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33254,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB145) | v142(constB145) | (~v135(constB145))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33253, 33252])).
% 26.19/17.61 tff(33255,plain,
% 26.19/17.61 (v142(constB145) | (~v135(constB145))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33254, 24247, 33251])).
% 26.19/17.61 tff(33256,plain,
% 26.19/17.61 (~v135(constB145)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33255, 33213])).
% 26.19/17.61 tff(33257,plain,
% 26.19/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33258,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33259,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB145, constB146)) | v135(constB145) | (~v137(constB146))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33258, 33257])).
% 26.19/17.61 tff(33260,plain,
% 26.19/17.61 (v135(constB145) | (~v137(constB146))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33259, 24262, 16604])).
% 26.19/17.61 tff(33261,plain,
% 26.19/17.61 (~v137(constB146)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33260, 33256])).
% 26.19/17.61 tff(33262,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB146) | (~v138(constB146)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB146) | (~v138(constB146)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33263,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB146) | (~v138(constB146)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33264,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB146) | (~v138(constB146))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33263, 33262])).
% 26.19/17.61 tff(33265,plain,
% 26.19/17.61 (~v138(constB146)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33264, 24277, 33261])).
% 26.19/17.61 tff(33266,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB146)) | (~v141(constB146)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB146)) | (~v141(constB146)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33267,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB146)) | (~v141(constB146)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33268,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB146)) | (~v141(constB146))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33267, 33266])).
% 26.19/17.61 tff(33269,plain,
% 26.19/17.61 (~v141(constB146)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33268, 24291, 16622])).
% 26.19/17.61 tff(33270,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB146) | (~v144(constB146)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB146) | (~v144(constB146)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33271,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB146) | (~v144(constB146)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33272,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB146) | (~v144(constB146))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33271, 33270])).
% 26.19/17.61 tff(33273,plain,
% 26.19/17.61 (~v144(constB146)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33272, 24305, 33269])).
% 26.19/17.61 tff(33274,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB146) | (~v142(constB146)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB146) | (~v142(constB146)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33275,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB146) | (~v142(constB146)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33276,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB146) | (~v142(constB146))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33275, 33274])).
% 26.19/17.61 tff(33277,plain,
% 26.19/17.61 (~v142(constB146)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33276, 2985, 33273])).
% 26.19/17.61 tff(33278,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB146) | v142(constB146) | (~v135(constB146)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB146) | v142(constB146) | (~v135(constB146)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33279,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB146) | v142(constB146) | (~v135(constB146)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33280,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB146) | v142(constB146) | (~v135(constB146))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33279, 33278])).
% 26.19/17.61 tff(33281,plain,
% 26.19/17.61 (v138(constB146) | (~v135(constB146))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33280, 24247, 33277])).
% 26.19/17.61 tff(33282,plain,
% 26.19/17.61 (~v135(constB146)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33281, 33265])).
% 26.19/17.61 tff(33283,plain,
% 26.19/17.61 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33284,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33285,plain,
% 26.19/17.61 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB146, constB147)) | v135(constB146) | (~v137(constB147))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33284, 33283])).
% 26.19/17.61 tff(33286,plain,
% 26.19/17.61 (v135(constB146) | (~v137(constB147))),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33285, 24262, 16906])).
% 26.19/17.61 tff(33287,plain,
% 26.19/17.61 (~v137(constB147)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33286, 33282])).
% 26.19/17.61 tff(33288,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB147) | (~v153(constB147)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB147) | (~v153(constB147)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33289,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB147) | (~v153(constB147)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33290,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB147) | (~v153(constB147))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33289, 33288])).
% 26.19/17.61 tff(33291,plain,
% 26.19/17.61 (~v153(constB147)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33290, 24437, 33287])).
% 26.19/17.61 tff(33292,assumption,(v18(constB148)), introduced(assumption)).
% 26.19/17.61 tff(33293,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB148))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33294,plain,
% 26.19/17.61 ($false),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33293, 3012, 33292])).
% 26.19/17.61 tff(33295,plain,(~v18(constB148)), inference(lemma,lemma(discharge,[]))).
% 26.19/17.61 tff(33296,plain,
% 26.19/17.61 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148)))),
% 26.19/17.61 inference(rewrite,[status(thm)],[])).
% 26.19/17.61 tff(33297,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB148) | (~v1(constB148)))),
% 26.19/17.61 inference(quant_inst,[status(thm)],[])).
% 26.19/17.61 tff(33298,plain,
% 26.19/17.61 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB148) | (~v1(constB148))),
% 26.19/17.61 inference(modus_ponens,[status(thm)],[33297, 33296])).
% 26.19/17.61 tff(33299,plain,
% 26.19/17.61 (v22(constB148)),
% 26.19/17.61 inference(unit_resolution,[status(thm)],[33298, 3028, 17166])).
% 26.19/17.61 tff(33300,plain,
% 26.19/17.61 (((~![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)))),
% 26.19/17.62 inference(rewrite,[status(thm)],[])).
% 26.19/17.62 tff(33301,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB148) | (~v22(constB148)) | (~v19(constB148)))),
% 26.19/17.62 inference(quant_inst,[status(thm)],[])).
% 26.19/17.62 tff(33302,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB148) | (~v22(constB148)) | (~v19(constB148))),
% 26.19/17.62 inference(modus_ponens,[status(thm)],[33301, 33300])).
% 26.19/17.62 tff(33303,plain,
% 26.19/17.62 (v18(constB148) | (~v19(constB148))),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33302, 3042, 33299])).
% 26.19/17.62 tff(33304,plain,
% 26.19/17.62 (~v19(constB148)),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33303, 33295])).
% 26.19/17.62 tff(33305,plain,
% 26.19/17.62 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148))),
% 26.19/17.62 inference(rewrite,[status(thm)],[])).
% 26.19/17.62 tff(33306,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB148) | v19(constB148))),
% 26.19/17.62 inference(quant_inst,[status(thm)],[])).
% 26.19/17.62 tff(33307,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB148) | v19(constB148)),
% 26.19/17.62 inference(modus_ponens,[status(thm)],[33306, 33305])).
% 26.19/17.62 tff(33308,plain,
% 26.19/17.62 (v13(constB148)),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33307, 3054, 33304])).
% 26.19/17.62 tff(33309,plain,
% 26.19/17.62 (((~![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)))),
% 26.19/17.62 inference(rewrite,[status(thm)],[])).
% 26.19/17.62 tff(33310,plain,
% 26.19/17.62 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148)))),
% 26.19/17.62 inference(quant_inst,[status(thm)],[])).
% 26.19/17.62 tff(33311,plain,
% 26.19/17.62 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB147) | (~v13(constB148)) | (~nextState(constB147, constB148))),
% 26.19/17.62 inference(modus_ponens,[status(thm)],[33310, 33309])).
% 26.19/17.62 tff(33312,plain,
% 26.19/17.62 (v9(constB147) | (~v13(constB148))),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33311, 3068, 17088])).
% 26.19/17.62 tff(33313,plain,
% 26.19/17.62 (v9(constB147)),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33312, 33308])).
% 26.19/17.62 tff(33314,plain,
% 26.19/17.62 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v141(constB147))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB147) | (~v9(constB147)) | v141(constB147))),
% 26.19/17.62 inference(rewrite,[status(thm)],[])).
% 26.19/17.62 tff(33315,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB147) | (~v9(constB147)) | v141(constB147))),
% 26.19/17.62 inference(quant_inst,[status(thm)],[])).
% 26.19/17.62 tff(33316,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB147) | (~v9(constB147)) | v141(constB147)),
% 26.19/17.62 inference(modus_ponens,[status(thm)],[33315, 33314])).
% 26.19/17.62 tff(33317,plain,
% 26.19/17.62 ((~v9(constB147)) | v141(constB147)),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33316, 3083, 16903])).
% 26.19/17.62 tff(33318,plain,
% 26.19/17.62 (v141(constB147)),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33317, 33313])).
% 26.19/17.62 tff(33319,plain,
% 26.19/17.62 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB147)) | v140(constB147))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB147)) | v140(constB147))),
% 26.19/17.62 inference(rewrite,[status(thm)],[])).
% 26.19/17.62 tff(33320,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB147)) | v140(constB147))),
% 26.19/17.62 inference(quant_inst,[status(thm)],[])).
% 26.19/17.62 tff(33321,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB147)) | v140(constB147)),
% 26.19/17.62 inference(modus_ponens,[status(thm)],[33320, 33319])).
% 26.19/17.62 tff(33322,plain,
% 26.19/17.62 (v140(constB147)),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33321, 24165, 33318])).
% 26.19/17.62 tff(33323,plain,
% 26.19/17.62 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB147)) | (~v155(constB147)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB147)) | (~v155(constB147)))),
% 26.19/17.62 inference(rewrite,[status(thm)],[])).
% 26.19/17.62 tff(33324,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB147)) | (~v155(constB147)))),
% 26.19/17.62 inference(quant_inst,[status(thm)],[])).
% 26.19/17.62 tff(33325,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB147)) | (~v155(constB147))),
% 26.19/17.62 inference(modus_ponens,[status(thm)],[33324, 33323])).
% 26.19/17.62 tff(33326,plain,
% 26.19/17.62 (~v155(constB147)),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33325, 24482, 33322])).
% 26.19/17.62 tff(33327,plain,
% 26.19/17.62 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB147) | v155(constB147) | (~v150(constB147)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB147) | v155(constB147) | (~v150(constB147)))),
% 26.19/17.62 inference(rewrite,[status(thm)],[])).
% 26.19/17.62 tff(33328,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB147) | v155(constB147) | (~v150(constB147)))),
% 26.19/17.62 inference(quant_inst,[status(thm)],[])).
% 26.19/17.62 tff(33329,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB147) | v155(constB147) | (~v150(constB147))),
% 26.19/17.62 inference(modus_ponens,[status(thm)],[33328, 33327])).
% 26.19/17.62 tff(33330,plain,
% 26.19/17.62 (v153(constB147) | (~v150(constB147))),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33329, 24496, 33326])).
% 26.19/17.62 tff(33331,plain,
% 26.19/17.62 (~v150(constB147)),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33330, 33291])).
% 26.19/17.62 tff(33332,plain,
% 26.19/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))),
% 26.19/17.62 inference(rewrite,[status(thm)],[])).
% 26.19/17.62 tff(33333,plain,
% 26.19/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148)))),
% 26.19/17.62 inference(quant_inst,[status(thm)],[])).
% 26.19/17.62 tff(33334,plain,
% 26.19/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB147, constB148)) | v150(constB147) | (~v152(constB148))),
% 26.19/17.62 inference(modus_ponens,[status(thm)],[33333, 33332])).
% 26.19/17.62 tff(33335,plain,
% 26.19/17.62 (v150(constB147) | (~v152(constB148))),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33334, 24511, 17088])).
% 26.19/17.62 tff(33336,plain,
% 26.19/17.62 (~v152(constB148)),
% 26.19/17.62 inference(unit_resolution,[status(thm)],[33335, 33331])).
% 26.19/17.62 tff(33337,plain,
% 26.19/17.62 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB148) | (~v155(constB148)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB148) | (~v155(constB148)))),
% 26.19/17.62 inference(rewrite,[status(thm)],[])).
% 26.19/17.62 tff(33338,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB148) | (~v155(constB148)))),
% 26.19/17.62 inference(quant_inst,[status(thm)],[])).
% 26.19/17.62 tff(33339,plain,
% 26.19/17.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB148) | (~v155(constB148))),
% 26.19/17.62 inference(modus_ponens,[status(thm)],[33338, 33337])).
% 26.30/17.62 tff(33340,plain,
% 26.30/17.62 (~v155(constB148)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33339, 24526, 33336])).
% 26.30/17.62 tff(33341,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB148)) | (~v141(constB148)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB148)) | (~v141(constB148)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33342,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB148)) | (~v141(constB148)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33343,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB148)) | (~v141(constB148))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33342, 33341])).
% 26.30/17.62 tff(33344,plain,
% 26.30/17.62 (~v141(constB148)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33343, 24291, 17166])).
% 26.30/17.62 tff(33345,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB148) | (~v154(constB148)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB148) | (~v154(constB148)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33346,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB148) | (~v154(constB148)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33347,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB148) | (~v154(constB148))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33346, 33345])).
% 26.30/17.62 tff(33348,plain,
% 26.30/17.62 (~v154(constB148)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33347, 24544, 33344])).
% 26.30/17.62 tff(33349,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB148) | (~v153(constB148)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB148) | (~v153(constB148)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33350,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB148) | (~v153(constB148)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33351,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB148) | (~v153(constB148))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33350, 33349])).
% 26.30/17.62 tff(33352,plain,
% 26.30/17.62 (~v153(constB148)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33351, 24558, 33348])).
% 26.30/17.62 tff(33353,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB148) | v155(constB148) | (~v150(constB148)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB148) | v155(constB148) | (~v150(constB148)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33354,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB148) | v155(constB148) | (~v150(constB148)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33355,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB148) | v155(constB148) | (~v150(constB148))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33354, 33353])).
% 26.30/17.62 tff(33356,plain,
% 26.30/17.62 (v155(constB148) | (~v150(constB148))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33355, 24496, 33352])).
% 26.30/17.62 tff(33357,plain,
% 26.30/17.62 (~v150(constB148)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33356, 33340])).
% 26.30/17.62 tff(33358,plain,
% 26.30/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33359,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33360,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB148, constB149)) | v150(constB148) | (~v152(constB149))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33359, 33358])).
% 26.30/17.62 tff(33361,plain,
% 26.30/17.62 (v150(constB148) | (~v152(constB149))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33360, 24511, 18031])).
% 26.30/17.62 tff(33362,plain,
% 26.30/17.62 (~v152(constB149)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33361, 33357])).
% 26.30/17.62 tff(33363,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB149) | (~v164(constB149)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB149) | (~v164(constB149)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33364,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB149) | (~v164(constB149)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33365,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB149) | (~v164(constB149))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33364, 33363])).
% 26.30/17.62 tff(33366,plain,
% 26.30/17.62 (~v164(constB149)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33365, 24674, 33362])).
% 26.30/17.62 tff(33367,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB143)) | (~v84(constB143, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB143)) | (~v84(constB143, bitIndex2)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33368,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB143)) | (~v84(constB143, bitIndex2)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33369,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB143)) | (~v84(constB143, bitIndex2))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33368, 33367])).
% 26.30/17.62 tff(33370,plain,
% 26.30/17.62 (~v145(constB143)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33369, 16179, 16261])).
% 26.30/17.62 tff(33371,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB143) | (~v144(constB143)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB143) | (~v144(constB143)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33372,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB143) | (~v144(constB143)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33373,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB143) | (~v144(constB143))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33372, 33371])).
% 26.30/17.62 tff(33374,plain,
% 26.30/17.62 (~v144(constB143)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33373, 2971, 33370])).
% 26.30/17.62 tff(33375,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB143) | (~v142(constB143)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB143) | (~v142(constB143)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33376,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB143) | (~v142(constB143)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33377,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB143) | (~v142(constB143))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33376, 33375])).
% 26.30/17.62 tff(33378,plain,
% 26.30/17.62 (~v142(constB143)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33377, 2985, 33374])).
% 26.30/17.62 tff(33379,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB143)) | (~v140(constB143)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB143)) | (~v140(constB143)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33380,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB143)) | (~v140(constB143)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33381,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB143)) | (~v140(constB143))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33380, 33379])).
% 26.30/17.62 tff(33382,plain,
% 26.30/17.62 (~v138(constB143)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33381, 24221, 25220])).
% 26.30/17.62 tff(33383,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB143) | v142(constB143) | (~v135(constB143)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB143) | v142(constB143) | (~v135(constB143)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33384,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB143) | v142(constB143) | (~v135(constB143)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33385,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB143) | v142(constB143) | (~v135(constB143))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33384, 33383])).
% 26.30/17.62 tff(33386,plain,
% 26.30/17.62 (v142(constB143) | (~v135(constB143))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33385, 24247, 33382])).
% 26.30/17.62 tff(33387,plain,
% 26.30/17.62 (~v135(constB143)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33386, 33378])).
% 26.30/17.62 tff(33388,plain,
% 26.30/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33389,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33390,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB143, constB144)) | v135(constB143) | (~v137(constB144))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33389, 33388])).
% 26.30/17.62 tff(33391,plain,
% 26.30/17.62 (v135(constB143) | (~v137(constB144))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33390, 24262, 16444])).
% 26.30/17.62 tff(33392,plain,
% 26.30/17.62 (~v137(constB144)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33391, 33387])).
% 26.30/17.62 tff(33393,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB144) | (~v138(constB144)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB144) | (~v138(constB144)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33394,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB144) | (~v138(constB144)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33395,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB144) | (~v138(constB144))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33394, 33393])).
% 26.30/17.62 tff(33396,plain,
% 26.30/17.62 (~v138(constB144)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33395, 24277, 33392])).
% 26.30/17.62 tff(33397,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB144) | (~v144(constB144)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB144) | (~v144(constB144)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33398,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB144) | (~v144(constB144)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33399,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB144) | (~v144(constB144))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33398, 33397])).
% 26.30/17.62 tff(33400,plain,
% 26.30/17.62 (~v144(constB144)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33399, 24305, 25242])).
% 26.30/17.62 tff(33401,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB144) | (~v142(constB144)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB144) | (~v142(constB144)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33402,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB144) | (~v142(constB144)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33403,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB144) | (~v142(constB144))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33402, 33401])).
% 26.30/17.62 tff(33404,plain,
% 26.30/17.62 (~v142(constB144)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33403, 2985, 33400])).
% 26.30/17.62 tff(33405,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB144) | v142(constB144) | (~v135(constB144)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB144) | v142(constB144) | (~v135(constB144)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33406,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB144) | v142(constB144) | (~v135(constB144)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33407,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB144) | v142(constB144) | (~v135(constB144))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33406, 33405])).
% 26.30/17.62 tff(33408,plain,
% 26.30/17.62 (v138(constB144) | (~v135(constB144))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33407, 24247, 33404])).
% 26.30/17.62 tff(33409,plain,
% 26.30/17.62 (~v135(constB144)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33408, 33396])).
% 26.30/17.62 tff(33410,plain,
% 26.30/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33411,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33412,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB144, constB145)) | v135(constB144) | (~v137(constB145))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33411, 33410])).
% 26.30/17.62 tff(33413,plain,
% 26.30/17.62 (v135(constB144) | (~v137(constB145))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33412, 24262, 16506])).
% 26.30/17.62 tff(33414,plain,
% 26.30/17.62 (~v137(constB145)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33413, 33409])).
% 26.30/17.62 tff(33415,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB145) | (~v153(constB145)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB145) | (~v153(constB145)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33416,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB145) | (~v153(constB145)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33417,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB145) | (~v153(constB145))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33416, 33415])).
% 26.30/17.62 tff(33418,plain,
% 26.30/17.62 (~v153(constB145)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33417, 24437, 33414])).
% 26.30/17.62 tff(33419,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB145)) | (~v155(constB145)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB145)) | (~v155(constB145)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33420,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB145)) | (~v155(constB145)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33421,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB145)) | (~v155(constB145))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33420, 33419])).
% 26.30/17.62 tff(33422,plain,
% 26.30/17.62 (~v155(constB145)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33421, 24482, 33247])).
% 26.30/17.62 tff(33423,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB145) | v155(constB145) | (~v150(constB145)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB145) | v155(constB145) | (~v150(constB145)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33424,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB145) | v155(constB145) | (~v150(constB145)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33425,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB145) | v155(constB145) | (~v150(constB145))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33424, 33423])).
% 26.30/17.62 tff(33426,plain,
% 26.30/17.62 (v153(constB145) | (~v150(constB145))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33425, 24496, 33422])).
% 26.30/17.62 tff(33427,plain,
% 26.30/17.62 (~v150(constB145)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33426, 33418])).
% 26.30/17.62 tff(33428,plain,
% 26.30/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33429,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33430,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB145, constB146)) | v150(constB145) | (~v152(constB146))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33429, 33428])).
% 26.30/17.62 tff(33431,plain,
% 26.30/17.62 (v150(constB145) | (~v152(constB146))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33430, 24511, 16604])).
% 26.30/17.62 tff(33432,plain,
% 26.30/17.62 (~v152(constB146)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33431, 33427])).
% 26.30/17.62 tff(33433,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB146) | (~v155(constB146)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB146) | (~v155(constB146)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33434,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB146) | (~v155(constB146)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33435,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB146) | (~v155(constB146))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33434, 33433])).
% 26.30/17.62 tff(33436,plain,
% 26.30/17.62 (~v155(constB146)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33435, 24526, 33432])).
% 26.30/17.62 tff(33437,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB146) | (~v154(constB146)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB146) | (~v154(constB146)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33438,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB146) | (~v154(constB146)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33439,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB146) | (~v154(constB146))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33438, 33437])).
% 26.30/17.62 tff(33440,plain,
% 26.30/17.62 (~v154(constB146)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33439, 24544, 33269])).
% 26.30/17.62 tff(33441,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB146) | (~v153(constB146)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB146) | (~v153(constB146)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33442,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB146) | (~v153(constB146)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33443,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB146) | (~v153(constB146))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33442, 33441])).
% 26.30/17.62 tff(33444,plain,
% 26.30/17.62 (~v153(constB146)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33443, 24558, 33440])).
% 26.30/17.62 tff(33445,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB146) | v155(constB146) | (~v150(constB146)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB146) | v155(constB146) | (~v150(constB146)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33446,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB146) | v155(constB146) | (~v150(constB146)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33447,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB146) | v155(constB146) | (~v150(constB146))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33446, 33445])).
% 26.30/17.62 tff(33448,plain,
% 26.30/17.62 (v155(constB146) | (~v150(constB146))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33447, 24496, 33444])).
% 26.30/17.62 tff(33449,plain,
% 26.30/17.62 (~v150(constB146)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33448, 33436])).
% 26.30/17.62 tff(33450,plain,
% 26.30/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33451,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33452,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB146, constB147)) | v150(constB146) | (~v152(constB147))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33451, 33450])).
% 26.30/17.62 tff(33453,plain,
% 26.30/17.62 (v150(constB146) | (~v152(constB147))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33452, 24511, 16906])).
% 26.30/17.62 tff(33454,plain,
% 26.30/17.62 (~v152(constB147)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33453, 33449])).
% 26.30/17.62 tff(33455,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB147) | (~v164(constB147)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB147) | (~v164(constB147)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33456,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB147) | (~v164(constB147)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33457,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB147) | (~v164(constB147))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33456, 33455])).
% 26.30/17.62 tff(33458,plain,
% 26.30/17.62 (~v164(constB147)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33457, 24674, 33454])).
% 26.30/17.62 tff(33459,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB147)) | (~v163(constB147)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB147)) | (~v163(constB147)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33460,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB147)) | (~v163(constB147)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33461,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB147)) | (~v163(constB147))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33460, 33459])).
% 26.30/17.62 tff(33462,plain,
% 26.30/17.62 (~v163(constB147)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33461, 24179, 33322])).
% 26.30/17.62 tff(33463,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB147) | v164(constB147) | (~v160(constB147)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB147) | v164(constB147) | (~v160(constB147)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33464,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB147) | v164(constB147) | (~v160(constB147)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33465,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB147) | v164(constB147) | (~v160(constB147))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33464, 33463])).
% 26.30/17.62 tff(33466,plain,
% 26.30/17.62 (v164(constB147) | (~v160(constB147))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33465, 24688, 33462])).
% 26.30/17.62 tff(33467,plain,
% 26.30/17.62 (~v160(constB147)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33466, 33458])).
% 26.30/17.62 tff(33468,plain,
% 26.30/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33469,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33470,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB147, constB148)) | v160(constB147) | (~v162(constB148))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33469, 33468])).
% 26.30/17.62 tff(33471,plain,
% 26.30/17.62 (v160(constB147) | (~v162(constB148))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33470, 24703, 17088])).
% 26.30/17.62 tff(33472,plain,
% 26.30/17.62 (~v162(constB148)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33471, 33467])).
% 26.30/17.62 tff(33473,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB148) | (~v163(constB148)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB148) | (~v163(constB148)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33474,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB148) | (~v163(constB148)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33475,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB148) | (~v163(constB148))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33474, 33473])).
% 26.30/17.62 tff(33476,plain,
% 26.30/17.62 (~v163(constB148)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33475, 24718, 33472])).
% 26.30/17.62 tff(33477,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB148) | (~v164(constB148)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB148) | (~v164(constB148)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33478,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB148) | (~v164(constB148)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33479,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB148) | (~v164(constB148))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33478, 33477])).
% 26.30/17.62 tff(33480,plain,
% 26.30/17.62 (~v164(constB148)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33479, 24740, 33348])).
% 26.30/17.62 tff(33481,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB148) | v164(constB148) | (~v160(constB148)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB148) | v164(constB148) | (~v160(constB148)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33482,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB148) | v164(constB148) | (~v160(constB148)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33483,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB148) | v164(constB148) | (~v160(constB148))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33482, 33481])).
% 26.30/17.62 tff(33484,plain,
% 26.30/17.62 (v163(constB148) | (~v160(constB148))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33483, 24688, 33480])).
% 26.30/17.62 tff(33485,plain,
% 26.30/17.62 (~v160(constB148)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33484, 33476])).
% 26.30/17.62 tff(33486,plain,
% 26.30/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33487,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33488,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB148, constB149)) | v160(constB148) | (~v162(constB149))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33487, 33486])).
% 26.30/17.62 tff(33489,plain,
% 26.30/17.62 (v160(constB148) | (~v162(constB149))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33488, 24703, 18031])).
% 26.30/17.62 tff(33490,plain,
% 26.30/17.62 (~v162(constB149)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33489, 33485])).
% 26.30/17.62 tff(33491,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB149) | (~v163(constB149)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB149) | (~v163(constB149)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33492,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB149) | (~v163(constB149)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33493,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB149) | (~v163(constB149))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33492, 33491])).
% 26.30/17.62 tff(33494,plain,
% 26.30/17.62 (~v163(constB149)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33493, 24718, 33490])).
% 26.30/17.62 tff(33495,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB149) | v164(constB149) | (~v160(constB149)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB149) | v164(constB149) | (~v160(constB149)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33496,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB149) | v164(constB149) | (~v160(constB149)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33497,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB149) | v164(constB149) | (~v160(constB149))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33496, 33495])).
% 26.30/17.62 tff(33498,plain,
% 26.30/17.62 (v164(constB149) | (~v160(constB149))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33497, 24688, 33494])).
% 26.30/17.62 tff(33499,plain,
% 26.30/17.62 (~v160(constB149)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33498, 33366])).
% 26.30/17.62 tff(33500,plain,
% 26.30/17.62 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33501,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33502,plain,
% 26.30/17.62 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB149, constB150)) | v160(constB149) | (~v162(constB150))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33501, 33500])).
% 26.30/17.62 tff(33503,plain,
% 26.30/17.62 (v160(constB149) | (~v162(constB150))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33502, 24703, 18161])).
% 26.30/17.62 tff(33504,plain,
% 26.30/17.62 (~v162(constB150)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33503, 33499])).
% 26.30/17.62 tff(33505,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB150) | (~v163(constB150)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB150) | (~v163(constB150)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33506,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB150) | (~v163(constB150)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33507,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB150) | (~v163(constB150))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33506, 33505])).
% 26.30/17.62 tff(33508,plain,
% 26.30/17.62 (~v163(constB150)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33507, 24718, 33504])).
% 26.30/17.62 tff(33509,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB150)) | (~v141(constB150)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB150)) | (~v141(constB150)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33510,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB150)) | (~v141(constB150)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33511,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB150)) | (~v141(constB150))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33510, 33509])).
% 26.30/17.62 tff(33512,plain,
% 26.30/17.62 (~v141(constB150)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33511, 24291, 18181])).
% 26.30/17.62 tff(33513,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB150) | (~v154(constB150)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB150) | (~v154(constB150)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33514,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB150) | (~v154(constB150)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33515,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB150) | (~v154(constB150))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33514, 33513])).
% 26.30/17.62 tff(33516,plain,
% 26.30/17.62 (~v154(constB150)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33515, 24544, 33512])).
% 26.30/17.62 tff(33517,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB150) | (~v164(constB150)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB150) | (~v164(constB150)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33518,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB150) | (~v164(constB150)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33519,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB150) | (~v164(constB150))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33518, 33517])).
% 26.30/17.62 tff(33520,plain,
% 26.30/17.62 (~v164(constB150)),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33519, 24740, 33516])).
% 26.30/17.62 tff(33521,plain,
% 26.30/17.62 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB150) | v164(constB150) | (~v160(constB150)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB150) | v164(constB150) | (~v160(constB150)))),
% 26.30/17.62 inference(rewrite,[status(thm)],[])).
% 26.30/17.62 tff(33522,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB150) | v164(constB150) | (~v160(constB150)))),
% 26.30/17.62 inference(quant_inst,[status(thm)],[])).
% 26.30/17.62 tff(33523,plain,
% 26.30/17.62 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB150) | v164(constB150) | (~v160(constB150))),
% 26.30/17.62 inference(modus_ponens,[status(thm)],[33522, 33521])).
% 26.30/17.62 tff(33524,plain,
% 26.30/17.62 (v163(constB150) | (~v160(constB150))),
% 26.30/17.62 inference(unit_resolution,[status(thm)],[33523, 24688, 33520])).
% 26.30/17.62 tff(33525,plain,
% 26.30/17.62 (~v160(constB150)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33524, 33508])).
% 26.30/17.63 tff(33526,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33527,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33528,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB150, constB151)) | v160(constB150) | (~v162(constB151))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33527, 33526])).
% 26.30/17.63 tff(33529,plain,
% 26.30/17.63 (v160(constB150) | (~v162(constB151))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33528, 24703, 18223])).
% 26.30/17.63 tff(33530,plain,
% 26.30/17.63 (~v162(constB151)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33529, 33525])).
% 26.30/17.63 tff(33531,plain,
% 26.30/17.63 ($false),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33530, 33205])).
% 26.30/17.63 tff(33532,plain,(~(constB151 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.63 tff(33533,assumption,(constB102 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.63 tff(33534,plain,
% 26.30/17.63 (v1(constB102) <=> v1(sK0_VarCurr)),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33533])).
% 26.30/17.63 tff(33535,plain,
% 26.30/17.63 (v1(sK0_VarCurr) <=> v1(constB102)),
% 26.30/17.63 inference(symmetry,[status(thm)],[33534])).
% 26.30/17.63 tff(33536,plain,
% 26.30/17.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB102))),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33535])).
% 26.30/17.63 tff(33537,plain,
% 26.30/17.63 (~v1(constB102)),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[25472, 33536])).
% 26.30/17.63 tff(33538,plain,
% 26.30/17.63 ($false),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[11903, 33537])).
% 26.30/17.63 tff(33539,plain,(~(constB102 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.63 tff(33540,assumption,(v18(constB44)), introduced(assumption)).
% 26.30/17.63 tff(33541,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB44))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33542,plain,
% 26.30/17.63 ($false),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33541, 3012, 33540])).
% 26.30/17.63 tff(33543,plain,(~v18(constB44)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.63 tff(33544,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33545,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB44) | (~v1(constB44)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33546,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB44) | (~v1(constB44))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33545, 33544])).
% 26.30/17.63 tff(33547,plain,
% 26.30/17.63 (v22(constB44)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33546, 3028, 5559])).
% 26.30/17.63 tff(33548,plain,
% 26.30/17.63 (((~![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)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33549,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB44) | (~v22(constB44)) | (~v19(constB44)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33550,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB44) | (~v22(constB44)) | (~v19(constB44))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33549, 33548])).
% 26.30/17.63 tff(33551,plain,
% 26.30/17.63 (v18(constB44) | (~v19(constB44))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33550, 3042, 33547])).
% 26.30/17.63 tff(33552,plain,
% 26.30/17.63 (~v19(constB44)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33551, 33543])).
% 26.30/17.63 tff(33553,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33554,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB44) | v19(constB44))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33555,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB44) | v19(constB44)),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33554, 33553])).
% 26.30/17.63 tff(33556,plain,
% 26.30/17.63 (v13(constB44)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33555, 3054, 33552])).
% 26.30/17.63 tff(33557,plain,
% 26.30/17.63 (((~![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)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33558,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33559,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB43) | (~v13(constB44)) | (~nextState(constB43, constB44))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33558, 33557])).
% 26.30/17.63 tff(33560,plain,
% 26.30/17.63 (v9(constB43) | (~v13(constB44))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33559, 3068, 5539])).
% 26.30/17.63 tff(33561,plain,
% 26.30/17.63 (v9(constB43)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33560, 33556])).
% 26.30/17.63 tff(33562,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v141(constB43))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB43) | (~v9(constB43)) | v141(constB43))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33563,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB43) | (~v9(constB43)) | v141(constB43))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33564,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB43) | (~v9(constB43)) | v141(constB43)),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33563, 33562])).
% 26.30/17.63 tff(33565,plain,
% 26.30/17.63 ((~v9(constB43)) | v141(constB43)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33564, 3083, 5408])).
% 26.30/17.63 tff(33566,plain,
% 26.30/17.63 (v141(constB43)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33565, 33561])).
% 26.30/17.63 tff(33567,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB43) | (~v141(constB43)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB43) | (~v141(constB43)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33568,plain,
% 26.30/17.63 (((~v141(constB43)) | v140(constB43)) <=> (v140(constB43) | (~v141(constB43)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33569,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB43)) | v140(constB43))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB43) | (~v141(constB43))))),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33568])).
% 26.30/17.63 tff(33570,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB43)) | v140(constB43))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB43) | (~v141(constB43)))),
% 26.30/17.63 inference(transitivity,[status(thm)],[33569, 33567])).
% 26.30/17.63 tff(33571,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB43)) | v140(constB43))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33572,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB43) | (~v141(constB43))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33571, 33570])).
% 26.30/17.63 tff(33573,plain,
% 26.30/17.63 (v140(constB43)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33572, 24165, 33566])).
% 26.30/17.63 tff(33574,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB43)) | (~v140(constB43)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB43)) | (~v140(constB43)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33575,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB43)) | (~v140(constB43)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33576,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB43)) | (~v140(constB43))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33575, 33574])).
% 26.30/17.63 tff(33577,plain,
% 26.30/17.63 (~v138(constB43)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33576, 24221, 33573])).
% 26.30/17.63 tff(33578,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB43)) | (~v84(constB43, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB43)) | (~v84(constB43, bitIndex1)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33579,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB43)) | (~v84(constB43, bitIndex1)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33580,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB43)) | (~v84(constB43, bitIndex1))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33579, 33578])).
% 26.30/17.63 tff(33581,plain,
% 26.30/17.63 (~v145(constB43)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33580, 2018, 5463])).
% 26.30/17.63 tff(33582,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB43) | (~v144(constB43)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB43) | (~v144(constB43)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33583,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB43) | (~v144(constB43)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33584,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB43) | (~v144(constB43))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33583, 33582])).
% 26.30/17.63 tff(33585,plain,
% 26.30/17.63 (~v144(constB43)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33584, 2971, 33581])).
% 26.30/17.63 tff(33586,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB43) | (~v142(constB43)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB43) | (~v142(constB43)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33587,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB43) | (~v142(constB43)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33588,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB43) | (~v142(constB43))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33587, 33586])).
% 26.30/17.63 tff(33589,plain,
% 26.30/17.63 (~v142(constB43)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33588, 2985, 33585])).
% 26.30/17.63 tff(33590,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB43) | v142(constB43) | (~v135(constB43)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB43) | v142(constB43) | (~v135(constB43)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33591,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB43) | v142(constB43) | (~v135(constB43)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33592,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB43) | v142(constB43) | (~v135(constB43))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33591, 33590])).
% 26.30/17.63 tff(33593,plain,
% 26.30/17.63 (v138(constB43) | (~v135(constB43))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33592, 24247, 33589])).
% 26.30/17.63 tff(33594,plain,
% 26.30/17.63 (~v135(constB43)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33593, 33577])).
% 26.30/17.63 tff(33595,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33596,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33597,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB43, constB44)) | v135(constB43) | (~v137(constB44))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33596, 33595])).
% 26.30/17.63 tff(33598,plain,
% 26.30/17.63 (v135(constB43) | (~v137(constB44))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33597, 24262, 5539])).
% 26.30/17.63 tff(33599,plain,
% 26.30/17.63 (~v137(constB44)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33598, 33594])).
% 26.30/17.63 tff(33600,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB44) | (~v138(constB44)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB44) | (~v138(constB44)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33601,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB44) | (~v138(constB44)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33602,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB44) | (~v138(constB44))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33601, 33600])).
% 26.30/17.63 tff(33603,plain,
% 26.30/17.63 (~v138(constB44)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33602, 24277, 33599])).
% 26.30/17.63 tff(33604,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB44)) | (~v141(constB44)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB44)) | (~v141(constB44)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33605,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB44)) | (~v141(constB44)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33606,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB44)) | (~v141(constB44))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33605, 33604])).
% 26.30/17.63 tff(33607,plain,
% 26.30/17.63 (~v141(constB44)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33606, 24291, 5559])).
% 26.30/17.63 tff(33608,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB44) | (~v144(constB44)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB44) | (~v144(constB44)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33609,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB44) | (~v144(constB44)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33610,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB44) | (~v144(constB44))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33609, 33608])).
% 26.30/17.63 tff(33611,plain,
% 26.30/17.63 (~v144(constB44)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33610, 24305, 33607])).
% 26.30/17.63 tff(33612,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB44) | (~v142(constB44)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB44) | (~v142(constB44)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33613,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB44) | (~v142(constB44)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33614,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB44) | (~v142(constB44))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33613, 33612])).
% 26.30/17.63 tff(33615,plain,
% 26.30/17.63 (~v142(constB44)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33614, 2985, 33611])).
% 26.30/17.63 tff(33616,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB44) | v142(constB44) | (~v135(constB44)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB44) | v142(constB44) | (~v135(constB44)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33617,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB44) | v142(constB44) | (~v135(constB44)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33618,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB44) | v142(constB44) | (~v135(constB44))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33617, 33616])).
% 26.30/17.63 tff(33619,plain,
% 26.30/17.63 (v138(constB44) | (~v135(constB44))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33618, 24247, 33615])).
% 26.30/17.63 tff(33620,plain,
% 26.30/17.63 (~v135(constB44)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33619, 33603])).
% 26.30/17.63 tff(33621,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33622,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33623,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB44, constB45)) | v135(constB44) | (~v137(constB45))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33622, 33621])).
% 26.30/17.63 tff(33624,plain,
% 26.30/17.63 (v135(constB44) | (~v137(constB45))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33623, 24262, 5601])).
% 26.30/17.63 tff(33625,plain,
% 26.30/17.63 (~v137(constB45)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33624, 33620])).
% 26.30/17.63 tff(33626,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB45) | (~v153(constB45)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB45) | (~v153(constB45)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33627,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB45) | (~v153(constB45)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33628,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB45) | (~v153(constB45))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33627, 33626])).
% 26.30/17.63 tff(33629,plain,
% 26.30/17.63 (~v153(constB45)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33628, 24437, 33625])).
% 26.30/17.63 tff(33630,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB45)) | (~v155(constB45)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB45)) | (~v155(constB45)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33631,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB45)) | (~v155(constB45)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33632,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB45)) | (~v155(constB45))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33631, 33630])).
% 26.30/17.63 tff(33633,plain,
% 26.30/17.63 (~v155(constB45)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33632, 24482, 32008])).
% 26.30/17.63 tff(33634,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB45) | v155(constB45) | (~v150(constB45)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB45) | v155(constB45) | (~v150(constB45)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33635,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB45) | v155(constB45) | (~v150(constB45)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33636,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB45) | v155(constB45) | (~v150(constB45))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33635, 33634])).
% 26.30/17.63 tff(33637,plain,
% 26.30/17.63 (v153(constB45) | (~v150(constB45))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33636, 24496, 33633])).
% 26.30/17.63 tff(33638,plain,
% 26.30/17.63 (~v150(constB45)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33637, 33629])).
% 26.30/17.63 tff(33639,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33640,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33641,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB45, constB46)) | v150(constB45) | (~v152(constB46))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33640, 33639])).
% 26.30/17.63 tff(33642,plain,
% 26.30/17.63 (v150(constB45) | (~v152(constB46))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33641, 24511, 5710])).
% 26.30/17.63 tff(33643,plain,
% 26.30/17.63 (~v152(constB46)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33642, 33638])).
% 26.30/17.63 tff(33644,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB46) | (~v155(constB46)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB46) | (~v155(constB46)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33645,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB46) | (~v155(constB46)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33646,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB46) | (~v155(constB46))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33645, 33644])).
% 26.30/17.63 tff(33647,plain,
% 26.30/17.63 (~v155(constB46)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33646, 24526, 33643])).
% 26.30/17.63 tff(33648,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB46) | (~v154(constB46)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB46) | (~v154(constB46)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33649,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB46) | (~v154(constB46)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33650,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB46) | (~v154(constB46))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33649, 33648])).
% 26.30/17.63 tff(33651,plain,
% 26.30/17.63 (~v154(constB46)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33650, 24544, 32030])).
% 26.30/17.63 tff(33652,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB46) | (~v153(constB46)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB46) | (~v153(constB46)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33653,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB46) | (~v153(constB46)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33654,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB46) | (~v153(constB46))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33653, 33652])).
% 26.30/17.63 tff(33655,plain,
% 26.30/17.63 (~v153(constB46)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33654, 24558, 33651])).
% 26.30/17.63 tff(33656,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB46) | v155(constB46) | (~v150(constB46)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB46) | v155(constB46) | (~v150(constB46)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33657,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB46) | v155(constB46) | (~v150(constB46)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33658,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB46) | v155(constB46) | (~v150(constB46))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33657, 33656])).
% 26.30/17.63 tff(33659,plain,
% 26.30/17.63 (v155(constB46) | (~v150(constB46))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33658, 24496, 33655])).
% 26.30/17.63 tff(33660,plain,
% 26.30/17.63 (~v150(constB46)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33659, 33647])).
% 26.30/17.63 tff(33661,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33662,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33663,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB46, constB47)) | v150(constB46) | (~v152(constB47))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33662, 33661])).
% 26.30/17.63 tff(33664,plain,
% 26.30/17.63 (v150(constB46) | (~v152(constB47))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33663, 24511, 5883])).
% 26.30/17.63 tff(33665,plain,
% 26.30/17.63 (~v152(constB47)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33664, 33660])).
% 26.30/17.63 tff(33666,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB47) | (~v164(constB47)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB47) | (~v164(constB47)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33667,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB47) | (~v164(constB47)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33668,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB47) | (~v164(constB47))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33667, 33666])).
% 26.30/17.63 tff(33669,plain,
% 26.30/17.63 (~v164(constB47)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33668, 24674, 33665])).
% 26.30/17.63 tff(33670,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB47)) | (~v163(constB47)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB47)) | (~v163(constB47)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33671,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB47)) | (~v163(constB47)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33672,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB47)) | (~v163(constB47))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33671, 33670])).
% 26.30/17.63 tff(33673,plain,
% 26.30/17.63 (~v163(constB47)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33672, 24179, 26601])).
% 26.30/17.63 tff(33674,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB47) | v164(constB47) | (~v160(constB47)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB47) | v164(constB47) | (~v160(constB47)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33675,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB47) | v164(constB47) | (~v160(constB47)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33676,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB47) | v164(constB47) | (~v160(constB47))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33675, 33674])).
% 26.30/17.63 tff(33677,plain,
% 26.30/17.63 (v164(constB47) | (~v160(constB47))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33676, 24688, 33673])).
% 26.30/17.63 tff(33678,plain,
% 26.30/17.63 (~v160(constB47)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33677, 33669])).
% 26.30/17.63 tff(33679,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33680,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33681,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB47, constB48)) | v160(constB47) | (~v162(constB48))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33680, 33679])).
% 26.30/17.63 tff(33682,plain,
% 26.30/17.63 (v160(constB47) | (~v162(constB48))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33681, 24703, 6003])).
% 26.30/17.63 tff(33683,plain,
% 26.30/17.63 (~v162(constB48)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33682, 33678])).
% 26.30/17.63 tff(33684,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB48) | (~v163(constB48)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB48) | (~v163(constB48)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33685,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB48) | (~v163(constB48)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33686,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB48) | (~v163(constB48))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33685, 33684])).
% 26.30/17.63 tff(33687,plain,
% 26.30/17.63 (~v163(constB48)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33686, 24718, 33683])).
% 26.30/17.63 tff(33688,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB48) | (~v164(constB48)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB48) | (~v164(constB48)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33689,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB48) | (~v164(constB48)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33690,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB48) | (~v164(constB48))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33689, 33688])).
% 26.30/17.63 tff(33691,plain,
% 26.30/17.63 (~v164(constB48)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33690, 24740, 32074])).
% 26.30/17.63 tff(33692,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB48) | v164(constB48) | (~v160(constB48)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB48) | v164(constB48) | (~v160(constB48)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33693,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB48) | v164(constB48) | (~v160(constB48)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33694,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB48) | v164(constB48) | (~v160(constB48))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33693, 33692])).
% 26.30/17.63 tff(33695,plain,
% 26.30/17.63 (v163(constB48) | (~v160(constB48))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33694, 24688, 33691])).
% 26.30/17.63 tff(33696,plain,
% 26.30/17.63 (~v160(constB48)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33695, 33687])).
% 26.30/17.63 tff(33697,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33698,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33699,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB48, constB49)) | v160(constB48) | (~v162(constB49))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33698, 33697])).
% 26.30/17.63 tff(33700,plain,
% 26.30/17.63 (v160(constB48) | (~v162(constB49))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33699, 24703, 6065])).
% 26.30/17.63 tff(33701,plain,
% 26.30/17.63 (~v162(constB49)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33700, 33696])).
% 26.30/17.63 tff(33702,assumption,(constB49 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.63 tff(33703,plain,
% 26.30/17.63 (v162(constB49) <=> v162(sK0_VarCurr)),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33702])).
% 26.30/17.63 tff(33704,plain,
% 26.30/17.63 (v162(sK0_VarCurr) <=> v162(constB49)),
% 26.30/17.63 inference(symmetry,[status(thm)],[33703])).
% 26.30/17.63 tff(33705,plain,
% 26.30/17.63 (v162(constB49)),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[24130, 33704])).
% 26.30/17.63 tff(33706,assumption,(~v162(constB49)), introduced(assumption)).
% 26.30/17.63 tff(33707,plain,
% 26.30/17.63 ($false),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33706, 33705])).
% 26.30/17.63 tff(33708,plain,((~(constB49 = sK0_VarCurr)) | v162(constB49)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.63 tff(33709,plain,
% 26.30/17.63 (~(constB49 = sK0_VarCurr)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33708, 33701])).
% 26.30/17.63 tff(33710,assumption,(constB122 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.63 tff(33711,plain,
% 26.30/17.63 (v1(constB122) <=> v1(sK0_VarCurr)),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33710])).
% 26.30/17.63 tff(33712,plain,
% 26.30/17.63 (v1(sK0_VarCurr) <=> v1(constB122)),
% 26.30/17.63 inference(symmetry,[status(thm)],[33711])).
% 26.30/17.63 tff(33713,plain,
% 26.30/17.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB122))),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33712])).
% 26.30/17.63 tff(33714,plain,
% 26.30/17.63 (~v1(constB122)),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[25472, 33713])).
% 26.30/17.63 tff(33715,plain,
% 26.30/17.63 ($false),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[13844, 33714])).
% 26.30/17.63 tff(33716,plain,(~(constB122 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.63 tff(33717,assumption,(constB3 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.63 tff(33718,plain,
% 26.30/17.63 (v162(constB3) <=> v162(sK0_VarCurr)),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33717])).
% 26.30/17.63 tff(33719,plain,
% 26.30/17.63 (v162(sK0_VarCurr) <=> v162(constB3)),
% 26.30/17.63 inference(symmetry,[status(thm)],[33718])).
% 26.30/17.63 tff(33720,plain,
% 26.30/17.63 (v162(constB3)),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[24130, 33719])).
% 26.30/17.63 tff(33721,plain,
% 26.30/17.63 ($false),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[26513, 33720])).
% 26.30/17.63 tff(33722,plain,(~(constB3 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.63 tff(33723,assumption,(constB56 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.63 tff(33724,plain,
% 26.30/17.63 (v1(constB56) <=> v1(sK0_VarCurr)),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33723])).
% 26.30/17.63 tff(33725,plain,
% 26.30/17.63 (v1(sK0_VarCurr) <=> v1(constB56)),
% 26.30/17.63 inference(symmetry,[status(thm)],[33724])).
% 26.30/17.63 tff(33726,plain,
% 26.30/17.63 ((~v1(sK0_VarCurr)) <=> (~v1(constB56))),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33725])).
% 26.30/17.63 tff(33727,plain,
% 26.30/17.63 (~v1(constB56)),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[25472, 33726])).
% 26.30/17.63 tff(33728,plain,
% 26.30/17.63 ($false),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[6876, 33727])).
% 26.30/17.63 tff(33729,plain,(~(constB56 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.63 tff(33730,assumption,(constB19 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.63 tff(33731,plain,
% 26.30/17.63 (v162(constB19) <=> v162(sK0_VarCurr)),
% 26.30/17.63 inference(monotonicity,[status(thm)],[33730])).
% 26.30/17.63 tff(33732,plain,
% 26.30/17.63 (v162(sK0_VarCurr) <=> v162(constB19)),
% 26.30/17.63 inference(symmetry,[status(thm)],[33731])).
% 26.30/17.63 tff(33733,plain,
% 26.30/17.63 (v162(constB19)),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[24130, 33732])).
% 26.30/17.63 tff(33734,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB13) | (~v144(constB13)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB13) | (~v144(constB13)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33735,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB13) | (~v144(constB13)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33736,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB13) | (~v144(constB13))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33735, 33734])).
% 26.30/17.63 tff(33737,plain,
% 26.30/17.63 (~v144(constB13)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33736, 2971, 2022])).
% 26.30/17.63 tff(33738,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB13) | (~v142(constB13)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB13) | (~v142(constB13)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33739,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB13) | (~v142(constB13)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33740,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB13) | (~v142(constB13))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33739, 33738])).
% 26.30/17.63 tff(33741,plain,
% 26.30/17.63 (~v142(constB13)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33740, 2985, 33737])).
% 26.30/17.63 tff(33742,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB11)) | (~v84(constB11, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB11)) | (~v84(constB11, bitIndex2)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33743,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB11)) | (~v84(constB11, bitIndex2)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33744,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB11)) | (~v84(constB11, bitIndex2))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33743, 33742])).
% 26.30/17.63 tff(33745,plain,
% 26.30/17.63 (~v145(constB11)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33744, 16179, 1588])).
% 26.30/17.63 tff(33746,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB11) | (~v144(constB11)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB11) | (~v144(constB11)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33747,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB11) | (~v144(constB11)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33748,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB11) | (~v144(constB11))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33747, 33746])).
% 26.30/17.63 tff(33749,plain,
% 26.30/17.63 (~v144(constB11)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33748, 2971, 33745])).
% 26.30/17.63 tff(33750,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB11) | (~v142(constB11)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB11) | (~v142(constB11)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33751,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB11) | (~v142(constB11)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33752,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB11) | (~v142(constB11))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33751, 33750])).
% 26.30/17.63 tff(33753,plain,
% 26.30/17.63 (~v142(constB11)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33752, 2985, 33749])).
% 26.30/17.63 tff(33754,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB11)) | (~v140(constB11)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB11)) | (~v140(constB11)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33755,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB11)) | (~v140(constB11)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33756,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB11)) | (~v140(constB11))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33755, 33754])).
% 26.30/17.63 tff(33757,plain,
% 26.30/17.63 (~v138(constB11)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33756, 24221, 32949])).
% 26.30/17.63 tff(33758,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB11) | v142(constB11) | (~v135(constB11)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB11) | v142(constB11) | (~v135(constB11)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33759,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB11) | v142(constB11) | (~v135(constB11)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33760,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB11) | v142(constB11) | (~v135(constB11))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33759, 33758])).
% 26.30/17.63 tff(33761,plain,
% 26.30/17.63 (v142(constB11) | (~v135(constB11))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33760, 24247, 33757])).
% 26.30/17.63 tff(33762,plain,
% 26.30/17.63 (~v135(constB11)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33761, 33753])).
% 26.30/17.63 tff(33763,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33764,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33765,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB11, constB12)) | v135(constB11) | (~v137(constB12))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33764, 33763])).
% 26.30/17.63 tff(33766,plain,
% 26.30/17.63 (v135(constB11) | (~v137(constB12))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33765, 24262, 1720])).
% 26.30/17.63 tff(33767,plain,
% 26.30/17.63 (~v137(constB12)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33766, 33762])).
% 26.30/17.63 tff(33768,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB12) | (~v138(constB12)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB12) | (~v138(constB12)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33769,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB12) | (~v138(constB12)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33770,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB12) | (~v138(constB12))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33769, 33768])).
% 26.30/17.63 tff(33771,plain,
% 26.30/17.63 (~v138(constB12)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33770, 24277, 33767])).
% 26.30/17.63 tff(33772,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB12) | (~v144(constB12)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB12) | (~v144(constB12)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33773,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB12) | (~v144(constB12)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33774,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB12) | (~v144(constB12))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33773, 33772])).
% 26.30/17.63 tff(33775,plain,
% 26.30/17.63 (~v144(constB12)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33774, 24305, 32971])).
% 26.30/17.63 tff(33776,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB12) | (~v142(constB12)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB12) | (~v142(constB12)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33777,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB12) | (~v142(constB12)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33778,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB12) | (~v142(constB12))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33777, 33776])).
% 26.30/17.63 tff(33779,plain,
% 26.30/17.63 (~v142(constB12)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33778, 2985, 33775])).
% 26.30/17.63 tff(33780,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB12) | v142(constB12) | (~v135(constB12)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB12) | v142(constB12) | (~v135(constB12)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33781,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB12) | v142(constB12) | (~v135(constB12)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33782,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB12) | v142(constB12) | (~v135(constB12))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33781, 33780])).
% 26.30/17.63 tff(33783,plain,
% 26.30/17.63 (v138(constB12) | (~v135(constB12))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33782, 24247, 33779])).
% 26.30/17.63 tff(33784,plain,
% 26.30/17.63 (~v135(constB12)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33783, 33771])).
% 26.30/17.63 tff(33785,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33786,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33787,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB12, constB13)) | v135(constB12) | (~v137(constB13))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33786, 33785])).
% 26.30/17.63 tff(33788,plain,
% 26.30/17.63 (v135(constB12) | (~v137(constB13))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33787, 24262, 1789])).
% 26.30/17.63 tff(33789,plain,
% 26.30/17.63 (~v137(constB13)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33788, 33784])).
% 26.30/17.63 tff(33790,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB13) | (~v138(constB13)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB13) | (~v138(constB13)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33791,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB13) | (~v138(constB13)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33792,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB13) | (~v138(constB13))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33791, 33790])).
% 26.30/17.63 tff(33793,plain,
% 26.30/17.63 (~v138(constB13)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33792, 24277, 33789])).
% 26.30/17.63 tff(33794,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB13) | v142(constB13) | (~v135(constB13)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB13) | v142(constB13) | (~v135(constB13)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33795,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB13) | v142(constB13) | (~v135(constB13)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33796,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB13) | v142(constB13) | (~v135(constB13))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33795, 33794])).
% 26.30/17.63 tff(33797,plain,
% 26.30/17.63 (v142(constB13) | (~v135(constB13))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33796, 24247, 33793])).
% 26.30/17.63 tff(33798,plain,
% 26.30/17.63 (~v135(constB13)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33797, 33741])).
% 26.30/17.63 tff(33799,plain,
% 26.30/17.63 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33800,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33801,plain,
% 26.30/17.63 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB13, constB14)) | v135(constB13) | (~v137(constB14))),
% 26.30/17.63 inference(modus_ponens,[status(thm)],[33800, 33799])).
% 26.30/17.63 tff(33802,plain,
% 26.30/17.63 (v135(constB13) | (~v137(constB14))),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33801, 24262, 1933])).
% 26.30/17.63 tff(33803,plain,
% 26.30/17.63 (~v137(constB14)),
% 26.30/17.63 inference(unit_resolution,[status(thm)],[33802, 33798])).
% 26.30/17.63 tff(33804,plain,
% 26.30/17.63 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB14) | (~v138(constB14)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB14) | (~v138(constB14)))),
% 26.30/17.63 inference(rewrite,[status(thm)],[])).
% 26.30/17.63 tff(33805,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB14) | (~v138(constB14)))),
% 26.30/17.63 inference(quant_inst,[status(thm)],[])).
% 26.30/17.63 tff(33806,plain,
% 26.30/17.63 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB14) | (~v138(constB14))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33805, 33804])).
% 26.30/17.64 tff(33807,plain,
% 26.30/17.64 (~v138(constB14)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33806, 24277, 33803])).
% 26.30/17.64 tff(33808,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB14)) | (~v141(constB14)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB14)) | (~v141(constB14)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33809,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB14)) | (~v141(constB14)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33810,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB14)) | (~v141(constB14))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33809, 33808])).
% 26.30/17.64 tff(33811,plain,
% 26.30/17.64 (~v141(constB14)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33810, 24291, 1953])).
% 26.30/17.64 tff(33812,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB14) | (~v144(constB14)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB14) | (~v144(constB14)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33813,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB14) | (~v144(constB14)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33814,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB14) | (~v144(constB14))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33813, 33812])).
% 26.30/17.64 tff(33815,plain,
% 26.30/17.64 (~v144(constB14)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33814, 24305, 33811])).
% 26.30/17.64 tff(33816,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB14) | (~v142(constB14)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB14) | (~v142(constB14)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33817,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB14) | (~v142(constB14)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33818,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB14) | (~v142(constB14))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33817, 33816])).
% 26.30/17.64 tff(33819,plain,
% 26.30/17.64 (~v142(constB14)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33818, 2985, 33815])).
% 26.30/17.64 tff(33820,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB14) | v142(constB14) | (~v135(constB14)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB14) | v142(constB14) | (~v135(constB14)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33821,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB14) | v142(constB14) | (~v135(constB14)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33822,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB14) | v142(constB14) | (~v135(constB14))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33821, 33820])).
% 26.30/17.64 tff(33823,plain,
% 26.30/17.64 (v138(constB14) | (~v135(constB14))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33822, 24247, 33819])).
% 26.30/17.64 tff(33824,plain,
% 26.30/17.64 (~v135(constB14)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33823, 33807])).
% 26.30/17.64 tff(33825,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33826,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33827,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB14, constB15)) | v135(constB14) | (~v137(constB15))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33826, 33825])).
% 26.30/17.64 tff(33828,plain,
% 26.30/17.64 (v135(constB14) | (~v137(constB15))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33827, 24262, 2074])).
% 26.30/17.64 tff(33829,plain,
% 26.30/17.64 (~v137(constB15)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33828, 33824])).
% 26.30/17.64 tff(33830,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB15) | (~v153(constB15)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB15) | (~v153(constB15)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33831,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB15) | (~v153(constB15)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33832,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB15) | (~v153(constB15))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33831, 33830])).
% 26.30/17.64 tff(33833,plain,
% 26.30/17.64 (~v153(constB15)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33832, 24437, 33829])).
% 26.30/17.64 tff(33834,assumption,(v18(constB16)), introduced(assumption)).
% 26.30/17.64 tff(33835,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB16))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33836,plain,
% 26.30/17.64 ($false),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33835, 3012, 33834])).
% 26.30/17.64 tff(33837,plain,(~v18(constB16)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.64 tff(33838,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33839,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB16) | (~v1(constB16)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33840,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB16) | (~v1(constB16))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33839, 33838])).
% 26.30/17.64 tff(33841,plain,
% 26.30/17.64 (v22(constB16)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33840, 3028, 2258])).
% 26.30/17.64 tff(33842,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB16) | (~v22(constB16)) | (~v19(constB16)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB16) | (~v22(constB16)) | (~v19(constB16)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33843,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB16) | (~v22(constB16)) | (~v19(constB16)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33844,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB16) | (~v22(constB16)) | (~v19(constB16))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33843, 33842])).
% 26.30/17.64 tff(33845,plain,
% 26.30/17.64 (v18(constB16) | (~v19(constB16))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33844, 3042, 33841])).
% 26.30/17.64 tff(33846,plain,
% 26.30/17.64 (~v19(constB16)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33845, 33837])).
% 26.30/17.64 tff(33847,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33848,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB16) | v19(constB16))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33849,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB16) | v19(constB16)),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33848, 33847])).
% 26.30/17.64 tff(33850,plain,
% 26.30/17.64 (v13(constB16)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33849, 3054, 33846])).
% 26.30/17.64 tff(33851,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB15) | (~v13(constB16)) | (~nextState(constB15, constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB15) | (~v13(constB16)) | (~nextState(constB15, constB16)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33852,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB15) | (~v13(constB16)) | (~nextState(constB15, constB16)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33853,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB15) | (~v13(constB16)) | (~nextState(constB15, constB16))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33852, 33851])).
% 26.30/17.64 tff(33854,plain,
% 26.30/17.64 (v9(constB15) | (~v13(constB16))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33853, 3068, 2238])).
% 26.30/17.64 tff(33855,plain,
% 26.30/17.64 (v9(constB15)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33854, 33850])).
% 26.30/17.64 tff(33856,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v141(constB15))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB15) | (~v9(constB15)) | v141(constB15))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33857,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB15) | (~v9(constB15)) | v141(constB15))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33858,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB15) | (~v9(constB15)) | v141(constB15)),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33857, 33856])).
% 26.30/17.64 tff(33859,plain,
% 26.30/17.64 ((~v9(constB15)) | v141(constB15)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33858, 3083, 2071])).
% 26.30/17.64 tff(33860,plain,
% 26.30/17.64 (v141(constB15)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33859, 33855])).
% 26.30/17.64 tff(33861,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB15)) | v140(constB15))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB15)) | v140(constB15))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33862,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB15)) | v140(constB15))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33863,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB15)) | v140(constB15)),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33862, 33861])).
% 26.30/17.64 tff(33864,plain,
% 26.30/17.64 (v140(constB15)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33863, 24165, 33860])).
% 26.30/17.64 tff(33865,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB15)) | (~v155(constB15)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB15)) | (~v155(constB15)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33866,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB15)) | (~v155(constB15)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33867,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB15)) | (~v155(constB15))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33866, 33865])).
% 26.30/17.64 tff(33868,plain,
% 26.30/17.64 (~v155(constB15)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33867, 24482, 33864])).
% 26.30/17.64 tff(33869,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB15) | v155(constB15) | (~v150(constB15)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB15) | v155(constB15) | (~v150(constB15)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33870,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB15) | v155(constB15) | (~v150(constB15)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33871,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB15) | v155(constB15) | (~v150(constB15))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33870, 33869])).
% 26.30/17.64 tff(33872,plain,
% 26.30/17.64 (v153(constB15) | (~v150(constB15))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33871, 24496, 33868])).
% 26.30/17.64 tff(33873,plain,
% 26.30/17.64 (~v150(constB15)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33872, 33833])).
% 26.30/17.64 tff(33874,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33875,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33876,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB15, constB16)) | v150(constB15) | (~v152(constB16))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33875, 33874])).
% 26.30/17.64 tff(33877,plain,
% 26.30/17.64 (v150(constB15) | (~v152(constB16))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33876, 24511, 2238])).
% 26.30/17.64 tff(33878,plain,
% 26.30/17.64 (~v152(constB16)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33877, 33873])).
% 26.30/17.64 tff(33879,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB16) | (~v155(constB16)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB16) | (~v155(constB16)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33880,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB16) | (~v155(constB16)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33881,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB16) | (~v155(constB16))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33880, 33879])).
% 26.30/17.64 tff(33882,plain,
% 26.30/17.64 (~v155(constB16)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33881, 24526, 33878])).
% 26.30/17.64 tff(33883,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB16)) | (~v141(constB16)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB16)) | (~v141(constB16)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33884,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB16)) | (~v141(constB16)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33885,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB16)) | (~v141(constB16))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33884, 33883])).
% 26.30/17.64 tff(33886,plain,
% 26.30/17.64 (~v141(constB16)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33885, 24291, 2258])).
% 26.30/17.64 tff(33887,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB16) | (~v154(constB16)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB16) | (~v154(constB16)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33888,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB16) | (~v154(constB16)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33889,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB16) | (~v154(constB16))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33888, 33887])).
% 26.30/17.64 tff(33890,plain,
% 26.30/17.64 (~v154(constB16)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33889, 24544, 33886])).
% 26.30/17.64 tff(33891,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB16) | (~v153(constB16)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB16) | (~v153(constB16)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33892,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB16) | (~v153(constB16)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33893,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB16) | (~v153(constB16))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33892, 33891])).
% 26.30/17.64 tff(33894,plain,
% 26.30/17.64 (~v153(constB16)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33893, 24558, 33890])).
% 26.30/17.64 tff(33895,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB16) | v155(constB16) | (~v150(constB16)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB16) | v155(constB16) | (~v150(constB16)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33896,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB16) | v155(constB16) | (~v150(constB16)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33897,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB16) | v155(constB16) | (~v150(constB16))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33896, 33895])).
% 26.30/17.64 tff(33898,plain,
% 26.30/17.64 (v155(constB16) | (~v150(constB16))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33897, 24496, 33894])).
% 26.30/17.64 tff(33899,plain,
% 26.30/17.64 (~v150(constB16)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33898, 33882])).
% 26.30/17.64 tff(33900,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33901,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33902,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB16, constB17)) | v150(constB16) | (~v152(constB17))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33901, 33900])).
% 26.30/17.64 tff(33903,plain,
% 26.30/17.64 (v150(constB16) | (~v152(constB17))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33902, 24511, 2313])).
% 26.30/17.64 tff(33904,plain,
% 26.30/17.64 (~v152(constB17)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33903, 33899])).
% 26.30/17.64 tff(33905,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB17) | (~v164(constB17)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB17) | (~v164(constB17)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33906,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB17) | (~v164(constB17)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33907,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB17) | (~v164(constB17))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33906, 33905])).
% 26.30/17.64 tff(33908,plain,
% 26.30/17.64 (~v164(constB17)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33907, 24674, 33904])).
% 26.30/17.64 tff(33909,assumption,(v18(constB18)), introduced(assumption)).
% 26.30/17.64 tff(33910,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB18))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33911,plain,
% 26.30/17.64 ($false),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33910, 3012, 33909])).
% 26.30/17.64 tff(33912,plain,(~v18(constB18)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.64 tff(33913,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33914,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB18) | (~v1(constB18)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33915,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB18) | (~v1(constB18))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33914, 33913])).
% 26.30/17.64 tff(33916,plain,
% 26.30/17.64 (v22(constB18)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33915, 3028, 2484])).
% 26.30/17.64 tff(33917,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33918,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB18) | (~v22(constB18)) | (~v19(constB18)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33919,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB18) | (~v22(constB18)) | (~v19(constB18))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33918, 33917])).
% 26.30/17.64 tff(33920,plain,
% 26.30/17.64 (v18(constB18) | (~v19(constB18))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33919, 3042, 33916])).
% 26.30/17.64 tff(33921,plain,
% 26.30/17.64 (~v19(constB18)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33920, 33912])).
% 26.30/17.64 tff(33922,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33923,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB18) | v19(constB18))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33924,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB18) | v19(constB18)),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33923, 33922])).
% 26.30/17.64 tff(33925,plain,
% 26.30/17.64 (v13(constB18)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33924, 3054, 33921])).
% 26.30/17.64 tff(33926,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33927,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33928,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB17) | (~v13(constB18)) | (~nextState(constB17, constB18))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33927, 33926])).
% 26.30/17.64 tff(33929,plain,
% 26.30/17.64 (v9(constB17) | (~v13(constB18))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33928, 3068, 2464])).
% 26.30/17.64 tff(33930,plain,
% 26.30/17.64 (v9(constB17)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33929, 33925])).
% 26.30/17.64 tff(33931,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v141(constB17))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB17) | (~v9(constB17)) | v141(constB17))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33932,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB17) | (~v9(constB17)) | v141(constB17))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33933,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB17) | (~v9(constB17)) | v141(constB17)),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33932, 33931])).
% 26.30/17.64 tff(33934,plain,
% 26.30/17.64 ((~v9(constB17)) | v141(constB17)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33933, 3083, 2310])).
% 26.30/17.64 tff(33935,plain,
% 26.30/17.64 (v141(constB17)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33934, 33930])).
% 26.30/17.64 tff(33936,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB17)) | v140(constB17))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB17)) | v140(constB17))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33937,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB17)) | v140(constB17))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33938,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB17)) | v140(constB17)),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33937, 33936])).
% 26.30/17.64 tff(33939,plain,
% 26.30/17.64 (v140(constB17)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33938, 24165, 33935])).
% 26.30/17.64 tff(33940,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB17)) | (~v163(constB17)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB17)) | (~v163(constB17)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33941,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB17)) | (~v163(constB17)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33942,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB17)) | (~v163(constB17))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33941, 33940])).
% 26.30/17.64 tff(33943,plain,
% 26.30/17.64 (~v163(constB17)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33942, 24179, 33939])).
% 26.30/17.64 tff(33944,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB17) | v164(constB17) | (~v160(constB17)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB17) | v164(constB17) | (~v160(constB17)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33945,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB17) | v164(constB17) | (~v160(constB17)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33946,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB17) | v164(constB17) | (~v160(constB17))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33945, 33944])).
% 26.30/17.64 tff(33947,plain,
% 26.30/17.64 (v164(constB17) | (~v160(constB17))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33946, 24688, 33943])).
% 26.30/17.64 tff(33948,plain,
% 26.30/17.64 (~v160(constB17)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33947, 33908])).
% 26.30/17.64 tff(33949,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33950,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33951,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB17, constB18)) | v160(constB17) | (~v162(constB18))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33950, 33949])).
% 26.30/17.64 tff(33952,plain,
% 26.30/17.64 (v160(constB17) | (~v162(constB18))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33951, 24703, 2464])).
% 26.30/17.64 tff(33953,plain,
% 26.30/17.64 (~v162(constB18)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33952, 33948])).
% 26.30/17.64 tff(33954,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB18) | (~v163(constB18)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB18) | (~v163(constB18)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33955,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB18) | (~v163(constB18)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33956,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB18) | (~v163(constB18))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33955, 33954])).
% 26.30/17.64 tff(33957,plain,
% 26.30/17.64 (~v163(constB18)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33956, 24718, 33953])).
% 26.30/17.64 tff(33958,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB18)) | (~v141(constB18)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB18)) | (~v141(constB18)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33959,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB18)) | (~v141(constB18)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33960,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB18)) | (~v141(constB18))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33959, 33958])).
% 26.30/17.64 tff(33961,plain,
% 26.30/17.64 (~v141(constB18)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33960, 24291, 2484])).
% 26.30/17.64 tff(33962,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB18) | (~v154(constB18)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB18) | (~v154(constB18)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33963,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB18) | (~v154(constB18)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33964,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB18) | (~v154(constB18))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33963, 33962])).
% 26.30/17.64 tff(33965,plain,
% 26.30/17.64 (~v154(constB18)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33964, 24544, 33961])).
% 26.30/17.64 tff(33966,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB18) | (~v164(constB18)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB18) | (~v164(constB18)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33967,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB18) | (~v164(constB18)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33968,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB18) | (~v164(constB18))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33967, 33966])).
% 26.30/17.64 tff(33969,plain,
% 26.30/17.64 (~v164(constB18)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33968, 24740, 33965])).
% 26.30/17.64 tff(33970,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB18) | v164(constB18) | (~v160(constB18)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB18) | v164(constB18) | (~v160(constB18)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33971,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB18) | v164(constB18) | (~v160(constB18)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33972,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB18) | v164(constB18) | (~v160(constB18))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33971, 33970])).
% 26.30/17.64 tff(33973,plain,
% 26.30/17.64 (v163(constB18) | (~v160(constB18))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33972, 24688, 33969])).
% 26.30/17.64 tff(33974,plain,
% 26.30/17.64 (~v160(constB18)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33973, 33957])).
% 26.30/17.64 tff(33975,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33976,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33977,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB18, constB19)) | v160(constB18) | (~v162(constB19))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33976, 33975])).
% 26.30/17.64 tff(33978,plain,
% 26.30/17.64 (v160(constB18) | (~v162(constB19))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33977, 24703, 2526])).
% 26.30/17.64 tff(33979,plain,
% 26.30/17.64 (~v162(constB19)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33978, 33974])).
% 26.30/17.64 tff(33980,plain,
% 26.30/17.64 ($false),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33979, 33733])).
% 26.30/17.64 tff(33981,plain,(~(constB19 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.64 tff(33982,assumption,(constB15 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.64 tff(33983,plain,
% 26.30/17.64 (v162(constB15) <=> v162(sK0_VarCurr)),
% 26.30/17.64 inference(monotonicity,[status(thm)],[33982])).
% 26.30/17.64 tff(33984,plain,
% 26.30/17.64 (v162(sK0_VarCurr) <=> v162(constB15)),
% 26.30/17.64 inference(symmetry,[status(thm)],[33983])).
% 26.30/17.64 tff(33985,plain,
% 26.30/17.64 (v162(constB15)),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[24130, 33984])).
% 26.30/17.64 tff(33986,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB9)) | (~v84(constB9, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB9)) | (~v84(constB9, bitIndex2)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33987,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB9)) | (~v84(constB9, bitIndex2)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33988,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB9)) | (~v84(constB9, bitIndex2))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33987, 33986])).
% 26.30/17.64 tff(33989,plain,
% 26.30/17.64 (~v145(constB9)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33988, 16179, 1362])).
% 26.30/17.64 tff(33990,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB9) | (~v144(constB9)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB9) | (~v144(constB9)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33991,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB9) | (~v144(constB9)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33992,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB9) | (~v144(constB9))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33991, 33990])).
% 26.30/17.64 tff(33993,plain,
% 26.30/17.64 (~v144(constB9)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33992, 2971, 33989])).
% 26.30/17.64 tff(33994,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB9) | (~v142(constB9)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB9) | (~v142(constB9)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33995,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB9) | (~v142(constB9)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(33996,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB9) | (~v142(constB9))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33995, 33994])).
% 26.30/17.64 tff(33997,plain,
% 26.30/17.64 (~v142(constB9)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[33996, 2985, 33993])).
% 26.30/17.64 tff(33998,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB9) | (~v138(constB9)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB9) | (~v138(constB9)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(33999,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB9) | (~v138(constB9)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34000,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB9) | (~v138(constB9))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[33999, 33998])).
% 26.30/17.64 tff(34001,plain,
% 26.30/17.64 (~v138(constB9)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34000, 24277, 32878])).
% 26.30/17.64 tff(34002,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB9) | v142(constB9) | (~v135(constB9)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB9) | v142(constB9) | (~v135(constB9)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34003,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB9) | v142(constB9) | (~v135(constB9)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34004,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB9) | v142(constB9) | (~v135(constB9))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34003, 34002])).
% 26.30/17.64 tff(34005,plain,
% 26.30/17.64 (v142(constB9) | (~v135(constB9))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34004, 24247, 34001])).
% 26.30/17.64 tff(34006,plain,
% 26.30/17.64 (~v135(constB9)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34005, 33997])).
% 26.30/17.64 tff(34007,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34008,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34009,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB9, constB10)) | v135(constB9) | (~v137(constB10))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34008, 34007])).
% 26.30/17.64 tff(34010,plain,
% 26.30/17.64 (v135(constB9) | (~v137(constB10))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34009, 24262, 1498])).
% 26.30/17.64 tff(34011,plain,
% 26.30/17.64 (~v137(constB10)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34010, 34006])).
% 26.30/17.64 tff(34012,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB10) | (~v138(constB10)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB10) | (~v138(constB10)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34013,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB10) | (~v138(constB10)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34014,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB10) | (~v138(constB10))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34013, 34012])).
% 26.30/17.64 tff(34015,plain,
% 26.30/17.64 (~v138(constB10)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34014, 24277, 34011])).
% 26.30/17.64 tff(34016,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB10) | (~v144(constB10)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB10) | (~v144(constB10)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34017,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB10) | (~v144(constB10)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34018,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB10) | (~v144(constB10))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34017, 34016])).
% 26.30/17.64 tff(34019,plain,
% 26.30/17.64 (~v144(constB10)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34018, 24305, 27778])).
% 26.30/17.64 tff(34020,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB10) | (~v142(constB10)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB10) | (~v142(constB10)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34021,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB10) | (~v142(constB10)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34022,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB10) | (~v142(constB10))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34021, 34020])).
% 26.30/17.64 tff(34023,plain,
% 26.30/17.64 (~v142(constB10)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34022, 2985, 34019])).
% 26.30/17.64 tff(34024,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB10) | v142(constB10) | (~v135(constB10)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB10) | v142(constB10) | (~v135(constB10)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34025,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB10) | v142(constB10) | (~v135(constB10)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34026,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB10) | v142(constB10) | (~v135(constB10))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34025, 34024])).
% 26.30/17.64 tff(34027,plain,
% 26.30/17.64 (v138(constB10) | (~v135(constB10))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34026, 24247, 34023])).
% 26.30/17.64 tff(34028,plain,
% 26.30/17.64 (~v135(constB10)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34027, 34015])).
% 26.30/17.64 tff(34029,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34030,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34031,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB10, constB11)) | v135(constB10) | (~v137(constB11))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34030, 34029])).
% 26.30/17.64 tff(34032,plain,
% 26.30/17.64 (v135(constB10) | (~v137(constB11))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34031, 24262, 1567])).
% 26.30/17.64 tff(34033,plain,
% 26.30/17.64 (~v137(constB11)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34032, 34028])).
% 26.30/17.64 tff(34034,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB11) | (~v153(constB11)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB11) | (~v153(constB11)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34035,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB11) | (~v153(constB11)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34036,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB11) | (~v153(constB11))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34035, 34034])).
% 26.30/17.64 tff(34037,plain,
% 26.30/17.64 (~v153(constB11)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34036, 24437, 34033])).
% 26.30/17.64 tff(34038,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB11)) | (~v155(constB11)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB11)) | (~v155(constB11)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34039,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB11)) | (~v155(constB11)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34040,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB11)) | (~v155(constB11))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34039, 34038])).
% 26.30/17.64 tff(34041,plain,
% 26.30/17.64 (~v155(constB11)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34040, 24482, 32949])).
% 26.30/17.64 tff(34042,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB11) | v155(constB11) | (~v150(constB11)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB11) | v155(constB11) | (~v150(constB11)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34043,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB11) | v155(constB11) | (~v150(constB11)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34044,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB11) | v155(constB11) | (~v150(constB11))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34043, 34042])).
% 26.30/17.64 tff(34045,plain,
% 26.30/17.64 (v153(constB11) | (~v150(constB11))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34044, 24496, 34041])).
% 26.30/17.64 tff(34046,plain,
% 26.30/17.64 (~v150(constB11)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34045, 34037])).
% 26.30/17.64 tff(34047,plain,
% 26.30/17.64 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34048,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34049,plain,
% 26.30/17.64 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB11, constB12)) | v150(constB11) | (~v152(constB12))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34048, 34047])).
% 26.30/17.64 tff(34050,plain,
% 26.30/17.64 (v150(constB11) | (~v152(constB12))),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34049, 24511, 1720])).
% 26.30/17.64 tff(34051,plain,
% 26.30/17.64 (~v152(constB12)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34050, 34046])).
% 26.30/17.64 tff(34052,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB12) | (~v155(constB12)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB12) | (~v155(constB12)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34053,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB12) | (~v155(constB12)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34054,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB12) | (~v155(constB12))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34053, 34052])).
% 26.30/17.64 tff(34055,plain,
% 26.30/17.64 (~v155(constB12)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34054, 24526, 34051])).
% 26.30/17.64 tff(34056,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB12) | (~v153(constB12)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB12) | (~v153(constB12)))),
% 26.30/17.64 inference(rewrite,[status(thm)],[])).
% 26.30/17.64 tff(34057,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB12) | (~v153(constB12)))),
% 26.30/17.64 inference(quant_inst,[status(thm)],[])).
% 26.30/17.64 tff(34058,plain,
% 26.30/17.64 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB12) | (~v153(constB12))),
% 26.30/17.64 inference(modus_ponens,[status(thm)],[34057, 34056])).
% 26.30/17.64 tff(34059,plain,
% 26.30/17.64 (~v153(constB12)),
% 26.30/17.64 inference(unit_resolution,[status(thm)],[34058, 24558, 32975])).
% 26.30/17.64 tff(34060,plain,
% 26.30/17.64 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB12) | v155(constB12) | (~v150(constB12)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB12) | v155(constB12) | (~v150(constB12)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34061,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB12) | v155(constB12) | (~v150(constB12)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34062,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB12) | v155(constB12) | (~v150(constB12))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34061, 34060])).
% 26.30/17.65 tff(34063,plain,
% 26.30/17.65 (v155(constB12) | (~v150(constB12))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34062, 24496, 34059])).
% 26.30/17.65 tff(34064,plain,
% 26.30/17.65 (~v150(constB12)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34063, 34055])).
% 26.30/17.65 tff(34065,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34066,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34067,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB12, constB13)) | v150(constB12) | (~v152(constB13))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34066, 34065])).
% 26.30/17.65 tff(34068,plain,
% 26.30/17.65 (v150(constB12) | (~v152(constB13))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34067, 24511, 1789])).
% 26.30/17.65 tff(34069,plain,
% 26.30/17.65 (~v152(constB13)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34068, 34064])).
% 26.30/17.65 tff(34070,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB13) | (~v164(constB13)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB13) | (~v164(constB13)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34071,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB13) | (~v164(constB13)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34072,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB13) | (~v164(constB13))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34071, 34070])).
% 26.30/17.65 tff(34073,plain,
% 26.30/17.65 (~v164(constB13)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34072, 24674, 34069])).
% 26.30/17.65 tff(34074,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB13) | (~v163(constB13)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB13) | (~v163(constB13)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34075,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB13) | (~v163(constB13)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34076,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB13) | (~v163(constB13))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34075, 34074])).
% 26.30/17.65 tff(34077,plain,
% 26.30/17.65 (~v163(constB13)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34076, 24718, 32989])).
% 26.30/17.65 tff(34078,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB13) | v164(constB13) | (~v160(constB13)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB13) | v164(constB13) | (~v160(constB13)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34079,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB13) | v164(constB13) | (~v160(constB13)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34080,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB13) | v164(constB13) | (~v160(constB13))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34079, 34078])).
% 26.30/17.65 tff(34081,plain,
% 26.30/17.65 (v164(constB13) | (~v160(constB13))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34080, 24688, 34077])).
% 26.30/17.65 tff(34082,plain,
% 26.30/17.65 (~v160(constB13)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34081, 34073])).
% 26.30/17.65 tff(34083,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34084,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34085,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB13, constB14)) | v160(constB13) | (~v162(constB14))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34084, 34083])).
% 26.30/17.65 tff(34086,plain,
% 26.30/17.65 (v160(constB13) | (~v162(constB14))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34085, 24703, 1933])).
% 26.30/17.65 tff(34087,plain,
% 26.30/17.65 (~v162(constB14)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34086, 34082])).
% 26.30/17.65 tff(34088,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB14) | (~v163(constB14)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB14) | (~v163(constB14)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34089,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB14) | (~v163(constB14)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34090,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB14) | (~v163(constB14))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34089, 34088])).
% 26.30/17.65 tff(34091,plain,
% 26.30/17.65 (~v163(constB14)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34090, 24718, 34087])).
% 26.30/17.65 tff(34092,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB14) | (~v154(constB14)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB14) | (~v154(constB14)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34093,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB14) | (~v154(constB14)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34094,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB14) | (~v154(constB14))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34093, 34092])).
% 26.30/17.65 tff(34095,plain,
% 26.30/17.65 (~v154(constB14)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34094, 24544, 33811])).
% 26.30/17.65 tff(34096,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB14) | (~v164(constB14)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB14) | (~v164(constB14)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34097,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB14) | (~v164(constB14)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34098,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB14) | (~v164(constB14))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34097, 34096])).
% 26.30/17.65 tff(34099,plain,
% 26.30/17.65 (~v164(constB14)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34098, 24740, 34095])).
% 26.30/17.65 tff(34100,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB14) | v164(constB14) | (~v160(constB14)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB14) | v164(constB14) | (~v160(constB14)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34101,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB14) | v164(constB14) | (~v160(constB14)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34102,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB14) | v164(constB14) | (~v160(constB14))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34101, 34100])).
% 26.30/17.65 tff(34103,plain,
% 26.30/17.65 (v163(constB14) | (~v160(constB14))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34102, 24688, 34099])).
% 26.30/17.65 tff(34104,plain,
% 26.30/17.65 (~v160(constB14)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34103, 34091])).
% 26.30/17.65 tff(34105,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34106,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34107,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB14, constB15)) | v160(constB14) | (~v162(constB15))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34106, 34105])).
% 26.30/17.65 tff(34108,plain,
% 26.30/17.65 (v160(constB14) | (~v162(constB15))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34107, 24703, 2074])).
% 26.30/17.65 tff(34109,plain,
% 26.30/17.65 (~v162(constB15)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34108, 34104])).
% 26.30/17.65 tff(34110,plain,
% 26.30/17.65 ($false),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34109, 33985])).
% 26.30/17.65 tff(34111,plain,(~(constB15 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.65 tff(34112,assumption,(constB154 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.65 tff(34113,plain,
% 26.30/17.65 (v1(constB154) <=> v1(sK0_VarCurr)),
% 26.30/17.65 inference(monotonicity,[status(thm)],[34112])).
% 26.30/17.65 tff(34114,plain,
% 26.30/17.65 (v1(sK0_VarCurr) <=> v1(constB154)),
% 26.30/17.65 inference(symmetry,[status(thm)],[34113])).
% 26.30/17.65 tff(34115,plain,
% 26.30/17.65 ((~v1(sK0_VarCurr)) <=> (~v1(constB154))),
% 26.30/17.65 inference(monotonicity,[status(thm)],[34114])).
% 26.30/17.65 tff(34116,plain,
% 26.30/17.65 (~v1(constB154)),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[25472, 34115])).
% 26.30/17.65 tff(34117,plain,
% 26.30/17.65 ($false),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[18739, 34116])).
% 26.30/17.65 tff(34118,plain,(~(constB154 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.65 tff(34119,assumption,(constB152 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.65 tff(34120,plain,
% 26.30/17.65 (v1(constB152) <=> v1(sK0_VarCurr)),
% 26.30/17.65 inference(monotonicity,[status(thm)],[34119])).
% 26.30/17.65 tff(34121,plain,
% 26.30/17.65 (v1(sK0_VarCurr) <=> v1(constB152)),
% 26.30/17.65 inference(symmetry,[status(thm)],[34120])).
% 26.30/17.65 tff(34122,plain,
% 26.30/17.65 ((~v1(sK0_VarCurr)) <=> (~v1(constB152))),
% 26.30/17.65 inference(monotonicity,[status(thm)],[34121])).
% 26.30/17.65 tff(34123,plain,
% 26.30/17.65 (~v1(constB152)),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[25472, 34122])).
% 26.30/17.65 tff(34124,plain,
% 26.30/17.65 ($false),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[18361, 34123])).
% 26.30/17.65 tff(34125,plain,(~(constB152 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.65 tff(34126,assumption,(constB75 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.65 tff(34127,plain,
% 26.30/17.65 (v162(constB75) <=> v162(sK0_VarCurr)),
% 26.30/17.65 inference(monotonicity,[status(thm)],[34126])).
% 26.30/17.65 tff(34128,plain,
% 26.30/17.65 (v162(sK0_VarCurr) <=> v162(constB75)),
% 26.30/17.65 inference(symmetry,[status(thm)],[34127])).
% 26.30/17.65 tff(34129,plain,
% 26.30/17.65 (v162(constB75)),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[24130, 34128])).
% 26.30/17.65 tff(34130,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB69)) | (~v84(constB69, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB69)) | (~v84(constB69, bitIndex2)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34131,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB69)) | (~v84(constB69, bitIndex2)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34132,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB69)) | (~v84(constB69, bitIndex2))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34131, 34130])).
% 26.30/17.65 tff(34133,plain,
% 26.30/17.65 (~v145(constB69)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34132, 16179, 8124])).
% 26.30/17.65 tff(34134,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB69) | (~v144(constB69)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB69) | (~v144(constB69)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34135,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB69) | (~v144(constB69)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34136,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB69) | (~v144(constB69))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34135, 34134])).
% 26.30/17.65 tff(34137,plain,
% 26.30/17.65 (~v144(constB69)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34136, 2971, 34133])).
% 26.30/17.65 tff(34138,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB69) | (~v142(constB69)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB69) | (~v142(constB69)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34139,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB69) | (~v142(constB69)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34140,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB69) | (~v142(constB69))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34139, 34138])).
% 26.30/17.65 tff(34141,plain,
% 26.30/17.65 (~v142(constB69)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34140, 2985, 34137])).
% 26.30/17.65 tff(34142,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB69) | (~v138(constB69)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB69) | (~v138(constB69)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34143,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB69) | (~v138(constB69)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34144,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB69) | (~v138(constB69))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34143, 34142])).
% 26.30/17.65 tff(34145,plain,
% 26.30/17.65 (~v138(constB69)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34144, 24277, 31714])).
% 26.30/17.65 tff(34146,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB69) | v142(constB69) | (~v135(constB69)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB69) | v142(constB69) | (~v135(constB69)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34147,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB69) | v142(constB69) | (~v135(constB69)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34148,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB69) | v142(constB69) | (~v135(constB69))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34147, 34146])).
% 26.30/17.65 tff(34149,plain,
% 26.30/17.65 (v142(constB69) | (~v135(constB69))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34148, 24247, 34145])).
% 26.30/17.65 tff(34150,plain,
% 26.30/17.65 (~v135(constB69)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34149, 34141])).
% 26.30/17.65 tff(34151,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34152,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34153,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB69, constB70)) | v135(constB69) | (~v137(constB70))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34152, 34151])).
% 26.30/17.65 tff(34154,plain,
% 26.30/17.65 (v135(constB69) | (~v137(constB70))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34153, 24262, 8237])).
% 26.30/17.65 tff(34155,plain,
% 26.30/17.65 (~v137(constB70)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34154, 34150])).
% 26.30/17.65 tff(34156,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB70) | (~v138(constB70)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB70) | (~v138(constB70)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34157,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB70) | (~v138(constB70)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34158,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB70) | (~v138(constB70))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34157, 34156])).
% 26.30/17.65 tff(34159,plain,
% 26.30/17.65 (~v138(constB70)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34158, 24277, 34155])).
% 26.30/17.65 tff(34160,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB70) | (~v144(constB70)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB70) | (~v144(constB70)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34161,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB70) | (~v144(constB70)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34162,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB70) | (~v144(constB70))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34161, 34160])).
% 26.30/17.65 tff(34163,plain,
% 26.30/17.65 (~v144(constB70)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34162, 24305, 31863])).
% 26.30/17.65 tff(34164,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB70) | (~v142(constB70)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB70) | (~v142(constB70)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34165,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB70) | (~v142(constB70)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34166,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB70) | (~v142(constB70))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34165, 34164])).
% 26.30/17.65 tff(34167,plain,
% 26.30/17.65 (~v142(constB70)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34166, 2985, 34163])).
% 26.30/17.65 tff(34168,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB70) | v142(constB70) | (~v135(constB70)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB70) | v142(constB70) | (~v135(constB70)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34169,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB70) | v142(constB70) | (~v135(constB70)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34170,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB70) | v142(constB70) | (~v135(constB70))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34169, 34168])).
% 26.30/17.65 tff(34171,plain,
% 26.30/17.65 (v138(constB70) | (~v135(constB70))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34170, 24247, 34167])).
% 26.30/17.65 tff(34172,plain,
% 26.30/17.65 (~v135(constB70)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34171, 34159])).
% 26.30/17.65 tff(34173,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34174,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34175,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB70, constB71)) | v135(constB70) | (~v137(constB71))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34174, 34173])).
% 26.30/17.65 tff(34176,plain,
% 26.30/17.65 (v135(constB70) | (~v137(constB71))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34175, 24262, 8303])).
% 26.30/17.65 tff(34177,plain,
% 26.30/17.65 (~v137(constB71)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34176, 34172])).
% 26.30/17.65 tff(34178,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB71) | (~v153(constB71)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB71) | (~v153(constB71)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34179,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB71) | (~v153(constB71)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34180,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB71) | (~v153(constB71))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34179, 34178])).
% 26.30/17.65 tff(34181,plain,
% 26.30/17.65 (~v153(constB71)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34180, 24437, 34177])).
% 26.30/17.65 tff(34182,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB71)) | (~v155(constB71)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB71)) | (~v155(constB71)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34183,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB71)) | (~v155(constB71)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34184,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB71)) | (~v155(constB71))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34183, 34182])).
% 26.30/17.65 tff(34185,plain,
% 26.30/17.65 (~v155(constB71)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34184, 24482, 31919])).
% 26.30/17.65 tff(34186,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB71) | v155(constB71) | (~v150(constB71)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB71) | v155(constB71) | (~v150(constB71)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34187,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB71) | v155(constB71) | (~v150(constB71)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34188,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB71) | v155(constB71) | (~v150(constB71))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34187, 34186])).
% 26.30/17.65 tff(34189,plain,
% 26.30/17.65 (v153(constB71) | (~v150(constB71))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34188, 24496, 34185])).
% 26.30/17.65 tff(34190,plain,
% 26.30/17.65 (~v150(constB71)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34189, 34181])).
% 26.30/17.65 tff(34191,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34192,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34193,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB71, constB72)) | v150(constB71) | (~v152(constB72))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34192, 34191])).
% 26.30/17.65 tff(34194,plain,
% 26.30/17.65 (v150(constB71) | (~v152(constB72))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34193, 24511, 8442])).
% 26.30/17.65 tff(34195,plain,
% 26.30/17.65 (~v152(constB72)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34194, 34190])).
% 26.30/17.65 tff(34196,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB72) | (~v155(constB72)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB72) | (~v155(constB72)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34197,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB72) | (~v155(constB72)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34198,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB72) | (~v155(constB72))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34197, 34196])).
% 26.30/17.65 tff(34199,plain,
% 26.30/17.65 (~v155(constB72)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34198, 24526, 34195])).
% 26.30/17.65 tff(34200,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB72) | (~v153(constB72)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB72) | (~v153(constB72)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34201,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB72) | (~v153(constB72)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34202,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB72) | (~v153(constB72))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34201, 34200])).
% 26.30/17.65 tff(34203,plain,
% 26.30/17.65 (~v153(constB72)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34202, 24558, 31945])).
% 26.30/17.65 tff(34204,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB72) | v155(constB72) | (~v150(constB72)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB72) | v155(constB72) | (~v150(constB72)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34205,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB72) | v155(constB72) | (~v150(constB72)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34206,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB72) | v155(constB72) | (~v150(constB72))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34205, 34204])).
% 26.30/17.65 tff(34207,plain,
% 26.30/17.65 (v155(constB72) | (~v150(constB72))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34206, 24496, 34203])).
% 26.30/17.65 tff(34208,plain,
% 26.30/17.65 (~v150(constB72)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34207, 34199])).
% 26.30/17.65 tff(34209,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34210,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34211,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB72, constB73)) | v150(constB72) | (~v152(constB73))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34210, 34209])).
% 26.30/17.65 tff(34212,plain,
% 26.30/17.65 (v150(constB72) | (~v152(constB73))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34211, 24511, 8504])).
% 26.30/17.65 tff(34213,plain,
% 26.30/17.65 (~v152(constB73)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34212, 34208])).
% 26.30/17.65 tff(34214,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB73) | (~v164(constB73)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB73) | (~v164(constB73)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34215,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB73) | (~v164(constB73)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34216,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB73) | (~v164(constB73))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34215, 34214])).
% 26.30/17.65 tff(34217,plain,
% 26.30/17.65 (~v164(constB73)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34216, 24674, 34213])).
% 26.30/17.65 tff(34218,assumption,(v18(constB74)), introduced(assumption)).
% 26.30/17.65 tff(34219,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB74))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34220,plain,
% 26.30/17.65 ($false),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34219, 3012, 34218])).
% 26.30/17.65 tff(34221,plain,(~v18(constB74)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.65 tff(34222,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34223,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB74) | (~v1(constB74)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34224,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB74) | (~v1(constB74))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34223, 34222])).
% 26.30/17.65 tff(34225,plain,
% 26.30/17.65 (v22(constB74)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34224, 3028, 8695])).
% 26.30/17.65 tff(34226,plain,
% 26.30/17.65 (((~![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)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34227,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB74) | (~v22(constB74)) | (~v19(constB74)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34228,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB74) | (~v22(constB74)) | (~v19(constB74))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34227, 34226])).
% 26.30/17.65 tff(34229,plain,
% 26.30/17.65 (v18(constB74) | (~v19(constB74))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34228, 3042, 34225])).
% 26.30/17.65 tff(34230,plain,
% 26.30/17.65 (~v19(constB74)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34229, 34221])).
% 26.30/17.65 tff(34231,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34232,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB74) | v19(constB74))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34233,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB74) | v19(constB74)),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34232, 34231])).
% 26.30/17.65 tff(34234,plain,
% 26.30/17.65 (v13(constB74)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34233, 3054, 34230])).
% 26.30/17.65 tff(34235,plain,
% 26.30/17.65 (((~![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)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34236,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34237,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB73) | (~v13(constB74)) | (~nextState(constB73, constB74))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34236, 34235])).
% 26.30/17.65 tff(34238,plain,
% 26.30/17.65 (v9(constB73) | (~v13(constB74))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34237, 3068, 8675])).
% 26.30/17.65 tff(34239,plain,
% 26.30/17.65 (v9(constB73)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34238, 34234])).
% 26.30/17.65 tff(34240,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v141(constB73))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB73) | (~v9(constB73)) | v141(constB73))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34241,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB73) | (~v9(constB73)) | v141(constB73))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34242,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB73) | (~v9(constB73)) | v141(constB73)),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34241, 34240])).
% 26.30/17.65 tff(34243,plain,
% 26.30/17.65 ((~v9(constB73)) | v141(constB73)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34242, 3083, 8501])).
% 26.30/17.65 tff(34244,plain,
% 26.30/17.65 (v141(constB73)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34243, 34239])).
% 26.30/17.65 tff(34245,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB73)) | v140(constB73))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB73)) | v140(constB73))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34246,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB73)) | v140(constB73))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34247,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB73)) | v140(constB73)),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34246, 34245])).
% 26.30/17.65 tff(34248,plain,
% 26.30/17.65 (v140(constB73)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34247, 24165, 34244])).
% 26.30/17.65 tff(34249,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB73)) | (~v163(constB73)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB73)) | (~v163(constB73)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34250,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB73)) | (~v163(constB73)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34251,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB73)) | (~v163(constB73))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34250, 34249])).
% 26.30/17.65 tff(34252,plain,
% 26.30/17.65 (~v163(constB73)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34251, 24179, 34248])).
% 26.30/17.65 tff(34253,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB73) | v164(constB73) | (~v160(constB73)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB73) | v164(constB73) | (~v160(constB73)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34254,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB73) | v164(constB73) | (~v160(constB73)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34255,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB73) | v164(constB73) | (~v160(constB73))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34254, 34253])).
% 26.30/17.65 tff(34256,plain,
% 26.30/17.65 (v164(constB73) | (~v160(constB73))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34255, 24688, 34252])).
% 26.30/17.65 tff(34257,plain,
% 26.30/17.65 (~v160(constB73)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34256, 34217])).
% 26.30/17.65 tff(34258,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34259,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34260,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB73, constB74)) | v160(constB73) | (~v162(constB74))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34259, 34258])).
% 26.30/17.65 tff(34261,plain,
% 26.30/17.65 (v160(constB73) | (~v162(constB74))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34260, 24703, 8675])).
% 26.30/17.65 tff(34262,plain,
% 26.30/17.65 (~v162(constB74)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34261, 34257])).
% 26.30/17.65 tff(34263,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB74) | (~v163(constB74)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB74) | (~v163(constB74)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34264,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB74) | (~v163(constB74)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34265,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB74) | (~v163(constB74))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34264, 34263])).
% 26.30/17.65 tff(34266,plain,
% 26.30/17.65 (~v163(constB74)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34265, 24718, 34262])).
% 26.30/17.65 tff(34267,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB74)) | (~v141(constB74)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB74)) | (~v141(constB74)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34268,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB74)) | (~v141(constB74)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34269,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB74)) | (~v141(constB74))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34268, 34267])).
% 26.30/17.65 tff(34270,plain,
% 26.30/17.65 (~v141(constB74)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34269, 24291, 8695])).
% 26.30/17.65 tff(34271,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB74) | (~v154(constB74)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB74) | (~v154(constB74)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34272,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB74) | (~v154(constB74)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34273,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB74) | (~v154(constB74))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34272, 34271])).
% 26.30/17.65 tff(34274,plain,
% 26.30/17.65 (~v154(constB74)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34273, 24544, 34270])).
% 26.30/17.65 tff(34275,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB74) | (~v164(constB74)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB74) | (~v164(constB74)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34276,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB74) | (~v164(constB74)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34277,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB74) | (~v164(constB74))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34276, 34275])).
% 26.30/17.65 tff(34278,plain,
% 26.30/17.65 (~v164(constB74)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34277, 24740, 34274])).
% 26.30/17.65 tff(34279,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB74) | v164(constB74) | (~v160(constB74)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB74) | v164(constB74) | (~v160(constB74)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34280,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB74) | v164(constB74) | (~v160(constB74)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34281,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB74) | v164(constB74) | (~v160(constB74))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34280, 34279])).
% 26.30/17.65 tff(34282,plain,
% 26.30/17.65 (v163(constB74) | (~v160(constB74))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34281, 24688, 34278])).
% 26.30/17.65 tff(34283,plain,
% 26.30/17.65 (~v160(constB74)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34282, 34266])).
% 26.30/17.65 tff(34284,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34285,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34286,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB74, constB75)) | v160(constB74) | (~v162(constB75))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34285, 34284])).
% 26.30/17.65 tff(34287,plain,
% 26.30/17.65 (v160(constB74) | (~v162(constB75))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34286, 24703, 8740])).
% 26.30/17.65 tff(34288,plain,
% 26.30/17.65 (~v162(constB75)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34287, 34283])).
% 26.30/17.65 tff(34289,plain,
% 26.30/17.65 ($false),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34288, 34129])).
% 26.30/17.65 tff(34290,plain,(~(constB75 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.65 tff(34291,assumption,(constB127 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.65 tff(34292,plain,
% 26.30/17.65 (v162(constB127) <=> v162(sK0_VarCurr)),
% 26.30/17.65 inference(monotonicity,[status(thm)],[34291])).
% 26.30/17.65 tff(34293,plain,
% 26.30/17.65 (v162(sK0_VarCurr) <=> v162(constB127)),
% 26.30/17.65 inference(symmetry,[status(thm)],[34292])).
% 26.30/17.65 tff(34294,plain,
% 26.30/17.65 (v162(constB127)),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[24130, 34293])).
% 26.30/17.65 tff(34295,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB121) | (~v144(constB121)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB121) | (~v144(constB121)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34296,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB121) | (~v144(constB121)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34297,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB121) | (~v144(constB121))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34296, 34295])).
% 26.30/17.65 tff(34298,plain,
% 26.30/17.65 (~v144(constB121)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34297, 2971, 13882])).
% 26.30/17.65 tff(34299,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB121) | (~v142(constB121)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB121) | (~v142(constB121)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34300,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB121) | (~v142(constB121)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34301,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB121) | (~v142(constB121))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34300, 34299])).
% 26.30/17.65 tff(34302,plain,
% 26.30/17.65 (~v142(constB121)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34301, 2985, 34298])).
% 26.30/17.65 tff(34303,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB121)) | (~v140(constB121)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB121)) | (~v140(constB121)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34304,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB121)) | (~v140(constB121)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34305,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB121)) | (~v140(constB121))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34304, 34303])).
% 26.30/17.65 tff(34306,plain,
% 26.30/17.65 (~v138(constB121)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34305, 24221, 31186])).
% 26.30/17.65 tff(34307,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB121) | v142(constB121) | (~v135(constB121)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB121) | v142(constB121) | (~v135(constB121)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34308,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB121) | v142(constB121) | (~v135(constB121)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34309,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB121) | v142(constB121) | (~v135(constB121))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34308, 34307])).
% 26.30/17.65 tff(34310,plain,
% 26.30/17.65 (v142(constB121) | (~v135(constB121))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34309, 24247, 34306])).
% 26.30/17.65 tff(34311,plain,
% 26.30/17.65 (~v135(constB121)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34310, 34302])).
% 26.30/17.65 tff(34312,plain,
% 26.30/17.65 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34313,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122)))),
% 26.30/17.65 inference(quant_inst,[status(thm)],[])).
% 26.30/17.65 tff(34314,plain,
% 26.30/17.65 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB121, constB122)) | v135(constB121) | (~v137(constB122))),
% 26.30/17.65 inference(modus_ponens,[status(thm)],[34313, 34312])).
% 26.30/17.65 tff(34315,plain,
% 26.30/17.65 (v135(constB121) | (~v137(constB122))),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34314, 24262, 13824])).
% 26.30/17.65 tff(34316,plain,
% 26.30/17.65 (~v137(constB122)),
% 26.30/17.65 inference(unit_resolution,[status(thm)],[34315, 34311])).
% 26.30/17.65 tff(34317,plain,
% 26.30/17.65 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB122) | (~v138(constB122)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB122) | (~v138(constB122)))),
% 26.30/17.65 inference(rewrite,[status(thm)],[])).
% 26.30/17.65 tff(34318,plain,
% 26.30/17.65 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB122) | (~v138(constB122)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34319,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB122) | (~v138(constB122))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34318, 34317])).
% 26.30/17.66 tff(34320,plain,
% 26.30/17.66 (~v138(constB122)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34319, 24277, 34316])).
% 26.30/17.66 tff(34321,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB122) | (~v144(constB122)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB122) | (~v144(constB122)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34322,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB122) | (~v144(constB122)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34323,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB122) | (~v144(constB122))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34322, 34321])).
% 26.30/17.66 tff(34324,plain,
% 26.30/17.66 (~v144(constB122)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34323, 24305, 31208])).
% 26.30/17.66 tff(34325,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB122) | (~v142(constB122)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB122) | (~v142(constB122)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34326,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB122) | (~v142(constB122)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34327,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB122) | (~v142(constB122))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34326, 34325])).
% 26.30/17.66 tff(34328,plain,
% 26.30/17.66 (~v142(constB122)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34327, 2985, 34324])).
% 26.30/17.66 tff(34329,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB122) | v142(constB122) | (~v135(constB122)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB122) | v142(constB122) | (~v135(constB122)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34330,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB122) | v142(constB122) | (~v135(constB122)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34331,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB122) | v142(constB122) | (~v135(constB122))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34330, 34329])).
% 26.30/17.66 tff(34332,plain,
% 26.30/17.66 (v138(constB122) | (~v135(constB122))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34331, 24247, 34328])).
% 26.30/17.66 tff(34333,plain,
% 26.30/17.66 (~v135(constB122)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34332, 34320])).
% 26.30/17.66 tff(34334,plain,
% 26.30/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34335,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34336,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB122, constB123)) | v135(constB122) | (~v137(constB123))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34335, 34334])).
% 26.30/17.66 tff(34337,plain,
% 26.30/17.66 (v135(constB122) | (~v137(constB123))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34336, 24262, 13913])).
% 26.30/17.66 tff(34338,plain,
% 26.30/17.66 (~v137(constB123)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34337, 34333])).
% 26.30/17.66 tff(34339,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB123) | (~v153(constB123)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB123) | (~v153(constB123)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34340,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB123) | (~v153(constB123)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34341,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB123) | (~v153(constB123))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34340, 34339])).
% 26.30/17.66 tff(34342,plain,
% 26.30/17.66 (~v153(constB123)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34341, 24437, 34338])).
% 26.30/17.66 tff(34343,assumption,(v18(constB124)), introduced(assumption)).
% 26.30/17.66 tff(34344,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB124))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34345,plain,
% 26.30/17.66 ($false),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34344, 3012, 34343])).
% 26.30/17.66 tff(34346,plain,(~v18(constB124)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.66 tff(34347,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB124) | (~v1(constB124)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB124) | (~v1(constB124)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34348,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB124) | (~v1(constB124)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34349,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB124) | (~v1(constB124))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34348, 34347])).
% 26.30/17.66 tff(34350,plain,
% 26.30/17.66 (v22(constB124)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34349, 3028, 14081])).
% 26.30/17.66 tff(34351,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB124) | (~v22(constB124)) | (~v19(constB124)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB124) | (~v22(constB124)) | (~v19(constB124)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34352,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB124) | (~v22(constB124)) | (~v19(constB124)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34353,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB124) | (~v22(constB124)) | (~v19(constB124))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34352, 34351])).
% 26.30/17.66 tff(34354,plain,
% 26.30/17.66 (v18(constB124) | (~v19(constB124))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34353, 3042, 34350])).
% 26.30/17.66 tff(34355,plain,
% 26.30/17.66 (~v19(constB124)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34354, 34346])).
% 26.30/17.66 tff(34356,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB124) | v19(constB124))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB124) | v19(constB124))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34357,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB124) | v19(constB124))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34358,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB124) | v19(constB124)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34357, 34356])).
% 26.30/17.66 tff(34359,plain,
% 26.30/17.66 (v13(constB124)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34358, 3054, 34355])).
% 26.30/17.66 tff(34360,plain,
% 26.30/17.66 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB123) | (~v13(constB124)) | (~nextState(constB123, constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB123) | (~v13(constB124)) | (~nextState(constB123, constB124)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34361,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB123) | (~v13(constB124)) | (~nextState(constB123, constB124)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34362,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB123) | (~v13(constB124)) | (~nextState(constB123, constB124))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34361, 34360])).
% 26.30/17.66 tff(34363,plain,
% 26.30/17.66 (v9(constB123) | (~v13(constB124))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34362, 3068, 14061])).
% 26.30/17.66 tff(34364,plain,
% 26.30/17.66 (v9(constB123)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34363, 34359])).
% 26.30/17.66 tff(34365,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB123) | (~v9(constB123)) | v141(constB123))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB123) | (~v9(constB123)) | v141(constB123))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34366,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB123) | (~v9(constB123)) | v141(constB123))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34367,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB123) | (~v9(constB123)) | v141(constB123)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34366, 34365])).
% 26.30/17.66 tff(34368,plain,
% 26.30/17.66 ((~v9(constB123)) | v141(constB123)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34367, 3083, 13910])).
% 26.30/17.66 tff(34369,plain,
% 26.30/17.66 (v141(constB123)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34368, 34364])).
% 26.30/17.66 tff(34370,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB123)) | v140(constB123))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB123)) | v140(constB123))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34371,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB123)) | v140(constB123))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34372,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB123)) | v140(constB123)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34371, 34370])).
% 26.30/17.66 tff(34373,plain,
% 26.30/17.66 (v140(constB123)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34372, 24165, 34369])).
% 26.30/17.66 tff(34374,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB123)) | (~v155(constB123)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB123)) | (~v155(constB123)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34375,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB123)) | (~v155(constB123)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34376,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB123)) | (~v155(constB123))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34375, 34374])).
% 26.30/17.66 tff(34377,plain,
% 26.30/17.66 (~v155(constB123)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34376, 24482, 34373])).
% 26.30/17.66 tff(34378,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB123) | v155(constB123) | (~v150(constB123)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB123) | v155(constB123) | (~v150(constB123)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34379,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB123) | v155(constB123) | (~v150(constB123)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34380,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB123) | v155(constB123) | (~v150(constB123))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34379, 34378])).
% 26.30/17.66 tff(34381,plain,
% 26.30/17.66 (v153(constB123) | (~v150(constB123))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34380, 24496, 34377])).
% 26.30/17.66 tff(34382,plain,
% 26.30/17.66 (~v150(constB123)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34381, 34342])).
% 26.30/17.66 tff(34383,plain,
% 26.30/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34384,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34385,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB123, constB124)) | v150(constB123) | (~v152(constB124))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34384, 34383])).
% 26.30/17.66 tff(34386,plain,
% 26.30/17.66 (v150(constB123) | (~v152(constB124))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34385, 24511, 14061])).
% 26.30/17.66 tff(34387,plain,
% 26.30/17.66 (~v152(constB124)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34386, 34382])).
% 26.30/17.66 tff(34388,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB124) | (~v155(constB124)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB124) | (~v155(constB124)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34389,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB124) | (~v155(constB124)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34390,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB124) | (~v155(constB124))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34389, 34388])).
% 26.30/17.66 tff(34391,plain,
% 26.30/17.66 (~v155(constB124)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34390, 24526, 34387])).
% 26.30/17.66 tff(34392,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB124)) | (~v141(constB124)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB124)) | (~v141(constB124)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34393,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB124)) | (~v141(constB124)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34394,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB124)) | (~v141(constB124))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34393, 34392])).
% 26.30/17.66 tff(34395,plain,
% 26.30/17.66 (~v141(constB124)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34394, 24291, 14081])).
% 26.30/17.66 tff(34396,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB124) | (~v154(constB124)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB124) | (~v154(constB124)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34397,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB124) | (~v154(constB124)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34398,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB124) | (~v154(constB124))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34397, 34396])).
% 26.30/17.66 tff(34399,plain,
% 26.30/17.66 (~v154(constB124)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34398, 24544, 34395])).
% 26.30/17.66 tff(34400,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB124) | (~v153(constB124)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB124) | (~v153(constB124)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34401,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB124) | (~v153(constB124)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34402,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB124) | (~v153(constB124))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34401, 34400])).
% 26.30/17.66 tff(34403,plain,
% 26.30/17.66 (~v153(constB124)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34402, 24558, 34399])).
% 26.30/17.66 tff(34404,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB124) | v155(constB124) | (~v150(constB124)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB124) | v155(constB124) | (~v150(constB124)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34405,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB124) | v155(constB124) | (~v150(constB124)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34406,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB124) | v155(constB124) | (~v150(constB124))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34405, 34404])).
% 26.30/17.66 tff(34407,plain,
% 26.30/17.66 (v155(constB124) | (~v150(constB124))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34406, 24496, 34403])).
% 26.30/17.66 tff(34408,plain,
% 26.30/17.66 (~v150(constB124)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34407, 34391])).
% 26.30/17.66 tff(34409,plain,
% 26.30/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34410,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34411,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB124, constB125)) | v150(constB124) | (~v152(constB125))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34410, 34409])).
% 26.30/17.66 tff(34412,plain,
% 26.30/17.66 (v150(constB124) | (~v152(constB125))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34411, 24511, 14123])).
% 26.30/17.66 tff(34413,plain,
% 26.30/17.66 (~v152(constB125)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34412, 34408])).
% 26.30/17.66 tff(34414,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB125) | (~v164(constB125)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB125) | (~v164(constB125)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34415,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB125) | (~v164(constB125)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34416,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB125) | (~v164(constB125))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34415, 34414])).
% 26.30/17.66 tff(34417,plain,
% 26.30/17.66 (~v164(constB125)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34416, 24674, 34413])).
% 26.30/17.66 tff(34418,assumption,(v18(constB126)), introduced(assumption)).
% 26.30/17.66 tff(34419,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB126))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34420,plain,
% 26.30/17.66 ($false),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34419, 3012, 34418])).
% 26.30/17.66 tff(34421,plain,(~v18(constB126)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.66 tff(34422,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34423,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB126) | (~v1(constB126)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34424,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB126) | (~v1(constB126))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34423, 34422])).
% 26.30/17.66 tff(34425,plain,
% 26.30/17.66 (v22(constB126)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34424, 3028, 14281])).
% 26.30/17.66 tff(34426,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB126) | (~v22(constB126)) | (~v19(constB126)))) <=> ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB126) | (~v22(constB126)) | (~v19(constB126)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34427,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB126) | (~v22(constB126)) | (~v19(constB126)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34428,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB126) | (~v22(constB126)) | (~v19(constB126))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34427, 34426])).
% 26.30/17.66 tff(34429,plain,
% 26.30/17.66 (v18(constB126) | (~v19(constB126))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34428, 3042, 34425])).
% 26.30/17.66 tff(34430,plain,
% 26.30/17.66 (~v19(constB126)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34429, 34421])).
% 26.30/17.66 tff(34431,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34432,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB126) | v19(constB126))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34433,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB126) | v19(constB126)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34432, 34431])).
% 26.30/17.66 tff(34434,plain,
% 26.30/17.66 (v13(constB126)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34433, 3054, 34430])).
% 26.30/17.66 tff(34435,plain,
% 26.30/17.66 (((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB125) | (~v13(constB126)) | (~nextState(constB125, constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB125) | (~v13(constB126)) | (~nextState(constB125, constB126)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34436,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB125) | (~v13(constB126)) | (~nextState(constB125, constB126)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34437,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB125) | (~v13(constB126)) | (~nextState(constB125, constB126))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34436, 34435])).
% 26.30/17.66 tff(34438,plain,
% 26.30/17.66 (v9(constB125) | (~v13(constB126))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34437, 3068, 14261])).
% 26.30/17.66 tff(34439,plain,
% 26.30/17.66 (v9(constB125)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34438, 34434])).
% 26.30/17.66 tff(34440,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v141(constB125))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB125) | (~v9(constB125)) | v141(constB125))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34441,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB125) | (~v9(constB125)) | v141(constB125))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34442,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB125) | (~v9(constB125)) | v141(constB125)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34441, 34440])).
% 26.30/17.66 tff(34443,plain,
% 26.30/17.66 ((~v9(constB125)) | v141(constB125)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34442, 3083, 14120])).
% 26.30/17.66 tff(34444,plain,
% 26.30/17.66 (v141(constB125)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34443, 34439])).
% 26.30/17.66 tff(34445,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB125)) | v140(constB125))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB125)) | v140(constB125))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34446,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB125)) | v140(constB125))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34447,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB125)) | v140(constB125)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34446, 34445])).
% 26.30/17.66 tff(34448,plain,
% 26.30/17.66 (v140(constB125)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34447, 24165, 34444])).
% 26.30/17.66 tff(34449,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB125)) | (~v163(constB125)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB125)) | (~v163(constB125)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34450,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB125)) | (~v163(constB125)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34451,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB125)) | (~v163(constB125))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34450, 34449])).
% 26.30/17.66 tff(34452,plain,
% 26.30/17.66 (~v163(constB125)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34451, 24179, 34448])).
% 26.30/17.66 tff(34453,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB125) | v164(constB125) | (~v160(constB125)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB125) | v164(constB125) | (~v160(constB125)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34454,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB125) | v164(constB125) | (~v160(constB125)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34455,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB125) | v164(constB125) | (~v160(constB125))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34454, 34453])).
% 26.30/17.66 tff(34456,plain,
% 26.30/17.66 (v164(constB125) | (~v160(constB125))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34455, 24688, 34452])).
% 26.30/17.66 tff(34457,plain,
% 26.30/17.66 (~v160(constB125)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34456, 34417])).
% 26.30/17.66 tff(34458,plain,
% 26.30/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34459,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34460,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB125, constB126)) | v160(constB125) | (~v162(constB126))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34459, 34458])).
% 26.30/17.66 tff(34461,plain,
% 26.30/17.66 (v160(constB125) | (~v162(constB126))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34460, 24703, 14261])).
% 26.30/17.66 tff(34462,plain,
% 26.30/17.66 (~v162(constB126)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34461, 34457])).
% 26.30/17.66 tff(34463,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB126) | (~v163(constB126)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB126) | (~v163(constB126)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34464,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB126) | (~v163(constB126)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34465,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB126) | (~v163(constB126))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34464, 34463])).
% 26.30/17.66 tff(34466,plain,
% 26.30/17.66 (~v163(constB126)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34465, 24718, 34462])).
% 26.30/17.66 tff(34467,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB126)) | (~v141(constB126)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB126)) | (~v141(constB126)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34468,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB126)) | (~v141(constB126)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34469,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB126)) | (~v141(constB126))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34468, 34467])).
% 26.30/17.66 tff(34470,plain,
% 26.30/17.66 (~v141(constB126)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34469, 24291, 14281])).
% 26.30/17.66 tff(34471,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB126) | (~v154(constB126)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB126) | (~v154(constB126)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34472,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB126) | (~v154(constB126)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34473,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB126) | (~v154(constB126))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34472, 34471])).
% 26.30/17.66 tff(34474,plain,
% 26.30/17.66 (~v154(constB126)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34473, 24544, 34470])).
% 26.30/17.66 tff(34475,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB126) | (~v164(constB126)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB126) | (~v164(constB126)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34476,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB126) | (~v164(constB126)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34477,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB126) | (~v164(constB126))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34476, 34475])).
% 26.30/17.66 tff(34478,plain,
% 26.30/17.66 (~v164(constB126)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34477, 24740, 34474])).
% 26.30/17.66 tff(34479,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB126) | v164(constB126) | (~v160(constB126)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB126) | v164(constB126) | (~v160(constB126)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34480,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB126) | v164(constB126) | (~v160(constB126)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34481,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB126) | v164(constB126) | (~v160(constB126))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34480, 34479])).
% 26.30/17.66 tff(34482,plain,
% 26.30/17.66 (v163(constB126) | (~v160(constB126))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34481, 24688, 34478])).
% 26.30/17.66 tff(34483,plain,
% 26.30/17.66 (~v160(constB126)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34482, 34466])).
% 26.30/17.66 tff(34484,plain,
% 26.30/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34485,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34486,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB126, constB127)) | v160(constB126) | (~v162(constB127))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34485, 34484])).
% 26.30/17.66 tff(34487,plain,
% 26.30/17.66 (v160(constB126) | (~v162(constB127))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34486, 24703, 14323])).
% 26.30/17.66 tff(34488,plain,
% 26.30/17.66 (~v162(constB127)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34487, 34483])).
% 26.30/17.66 tff(34489,plain,
% 26.30/17.66 ($false),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34488, 34294])).
% 26.30/17.66 tff(34490,plain,(~(constB127 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.66 tff(34491,assumption,(constB58 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.66 tff(34492,plain,
% 26.30/17.66 (v1(constB58) <=> v1(sK0_VarCurr)),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34491])).
% 26.30/17.66 tff(34493,plain,
% 26.30/17.66 (v1(sK0_VarCurr) <=> v1(constB58)),
% 26.30/17.66 inference(symmetry,[status(thm)],[34492])).
% 26.30/17.66 tff(34494,plain,
% 26.30/17.66 ((~v1(sK0_VarCurr)) <=> (~v1(constB58))),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34493])).
% 26.30/17.66 tff(34495,plain,
% 26.30/17.66 (~v1(constB58)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[25472, 34494])).
% 26.30/17.66 tff(34496,plain,
% 26.30/17.66 ($false),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[7065, 34495])).
% 26.30/17.66 tff(34497,plain,(~(constB58 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.66 tff(34498,assumption,(constB44 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.66 tff(34499,plain,
% 26.30/17.66 (v1(constB44) <=> v1(sK0_VarCurr)),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34498])).
% 26.30/17.66 tff(34500,plain,
% 26.30/17.66 (v1(sK0_VarCurr) <=> v1(constB44)),
% 26.30/17.66 inference(symmetry,[status(thm)],[34499])).
% 26.30/17.66 tff(34501,plain,
% 26.30/17.66 ((~v1(sK0_VarCurr)) <=> (~v1(constB44))),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34500])).
% 26.30/17.66 tff(34502,plain,
% 26.30/17.66 (~v1(constB44)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[25472, 34501])).
% 26.30/17.66 tff(34503,plain,
% 26.30/17.66 ($false),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[5559, 34502])).
% 26.30/17.66 tff(34504,plain,(~(constB44 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.66 tff(34505,assumption,(constB46 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.66 tff(34506,plain,
% 26.30/17.66 (v1(constB46) <=> v1(sK0_VarCurr)),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34505])).
% 26.30/17.66 tff(34507,plain,
% 26.30/17.66 (v1(sK0_VarCurr) <=> v1(constB46)),
% 26.30/17.66 inference(symmetry,[status(thm)],[34506])).
% 26.30/17.66 tff(34508,plain,
% 26.30/17.66 ((~v1(sK0_VarCurr)) <=> (~v1(constB46))),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34507])).
% 26.30/17.66 tff(34509,plain,
% 26.30/17.66 (~v1(constB46)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[25472, 34508])).
% 26.30/17.66 tff(34510,plain,
% 26.30/17.66 ($false),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[5855, 34509])).
% 26.30/17.66 tff(34511,plain,(~(constB46 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.66 tff(34512,assumption,(constB135 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.66 tff(34513,plain,
% 26.30/17.66 (v162(constB135) <=> v162(sK0_VarCurr)),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34512])).
% 26.30/17.66 tff(34514,plain,
% 26.30/17.66 (v162(sK0_VarCurr) <=> v162(constB135)),
% 26.30/17.66 inference(symmetry,[status(thm)],[34513])).
% 26.30/17.66 tff(34515,plain,
% 26.30/17.66 (v162(constB135)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[24130, 34514])).
% 26.30/17.66 tff(34516,plain,
% 26.30/17.66 ($false),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[28366, 34515])).
% 26.30/17.66 tff(34517,plain,(~(constB135 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.66 tff(34518,assumption,(constB134 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.66 tff(34519,plain,
% 26.30/17.66 (v1(constB134) <=> v1(sK0_VarCurr)),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34518])).
% 26.30/17.66 tff(34520,plain,
% 26.30/17.66 (v1(sK0_VarCurr) <=> v1(constB134)),
% 26.30/17.66 inference(symmetry,[status(thm)],[34519])).
% 26.30/17.66 tff(34521,plain,
% 26.30/17.66 ((~v1(sK0_VarCurr)) <=> (~v1(constB134))),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34520])).
% 26.30/17.66 tff(34522,plain,
% 26.30/17.66 (~v1(constB134)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[25472, 34521])).
% 26.30/17.66 tff(34523,plain,
% 26.30/17.66 ($false),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[15040, 34522])).
% 26.30/17.66 tff(34524,plain,(~(constB134 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.66 tff(34525,assumption,(constB87 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.66 tff(34526,plain,
% 26.30/17.66 (v162(constB87) <=> v162(sK0_VarCurr)),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34525])).
% 26.30/17.66 tff(34527,plain,
% 26.30/17.66 (v162(sK0_VarCurr) <=> v162(constB87)),
% 26.30/17.66 inference(symmetry,[status(thm)],[34526])).
% 26.30/17.66 tff(34528,plain,
% 26.30/17.66 (v162(constB87)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[24130, 34527])).
% 26.30/17.66 tff(34529,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB81)) | (~v84(constB81, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB81)) | (~v84(constB81, bitIndex2)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34530,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB81)) | (~v84(constB81, bitIndex2)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34531,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB81)) | (~v84(constB81, bitIndex2))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34530, 34529])).
% 26.30/17.66 tff(34532,plain,
% 26.30/17.66 (~v145(constB81)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34531, 16179, 9468])).
% 26.30/17.66 tff(34533,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB81) | (~v144(constB81)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB81) | (~v144(constB81)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34534,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB81) | (~v144(constB81)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34535,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB81) | (~v144(constB81))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34534, 34533])).
% 26.30/17.66 tff(34536,plain,
% 26.30/17.66 (~v144(constB81)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34535, 2971, 34532])).
% 26.30/17.66 tff(34537,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB81) | (~v142(constB81)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB81) | (~v142(constB81)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34538,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB81) | (~v142(constB81)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34539,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB81) | (~v142(constB81))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34538, 34537])).
% 26.30/17.66 tff(34540,plain,
% 26.30/17.66 (~v142(constB81)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34539, 2985, 34536])).
% 26.30/17.66 tff(34541,assumption,(v18(constB82)), introduced(assumption)).
% 26.30/17.66 tff(34542,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB82))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34543,plain,
% 26.30/17.66 ($false),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34542, 3012, 34541])).
% 26.30/17.66 tff(34544,plain,(~v18(constB82)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.66 tff(34545,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34546,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34547,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34546, 34545])).
% 26.30/17.66 tff(34548,plain,
% 26.30/17.66 (v22(constB82)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34547, 3028, 9597])).
% 26.30/17.66 tff(34549,plain,
% 26.30/17.66 (((~![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)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34550,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB82) | (~v22(constB82)) | (~v19(constB82)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34551,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB82) | (~v22(constB82)) | (~v19(constB82))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34550, 34549])).
% 26.30/17.66 tff(34552,plain,
% 26.30/17.66 (v18(constB82) | (~v19(constB82))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34551, 3042, 34548])).
% 26.30/17.66 tff(34553,plain,
% 26.30/17.66 (~v19(constB82)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34552, 34544])).
% 26.30/17.66 tff(34554,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34555,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34556,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34555, 34554])).
% 26.30/17.66 tff(34557,plain,
% 26.30/17.66 (v13(constB82)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34556, 3054, 34553])).
% 26.30/17.66 tff(34558,plain,
% 26.30/17.66 (((~![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)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34559,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34560,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB81) | (~v13(constB82)) | (~nextState(constB81, constB82))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34559, 34558])).
% 26.30/17.66 tff(34561,plain,
% 26.30/17.66 (v9(constB81) | (~v13(constB82))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34560, 3068, 9577])).
% 26.30/17.66 tff(34562,plain,
% 26.30/17.66 (v9(constB81)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34561, 34557])).
% 26.30/17.66 tff(34563,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34564,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34565,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81)),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34564, 34563])).
% 26.30/17.66 tff(34566,plain,
% 26.30/17.66 ((~v9(constB81)) | v141(constB81)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34565, 3083, 9444])).
% 26.30/17.66 tff(34567,plain,
% 26.30/17.66 (v141(constB81)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34566, 34562])).
% 26.30/17.66 tff(34568,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB81) | (~v141(constB81)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB81) | (~v141(constB81)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34569,plain,
% 26.30/17.66 (((~v141(constB81)) | v140(constB81)) <=> (v140(constB81) | (~v141(constB81)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34570,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB81)) | v140(constB81))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB81) | (~v141(constB81))))),
% 26.30/17.66 inference(monotonicity,[status(thm)],[34569])).
% 26.30/17.66 tff(34571,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB81)) | v140(constB81))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB81) | (~v141(constB81)))),
% 26.30/17.66 inference(transitivity,[status(thm)],[34570, 34568])).
% 26.30/17.66 tff(34572,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB81)) | v140(constB81))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34573,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB81) | (~v141(constB81))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34572, 34571])).
% 26.30/17.66 tff(34574,plain,
% 26.30/17.66 (v140(constB81)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34573, 24165, 34567])).
% 26.30/17.66 tff(34575,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB81)) | (~v140(constB81)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB81)) | (~v140(constB81)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34576,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB81)) | (~v140(constB81)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34577,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB81)) | (~v140(constB81))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34576, 34575])).
% 26.30/17.66 tff(34578,plain,
% 26.30/17.66 (~v138(constB81)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34577, 24221, 34574])).
% 26.30/17.66 tff(34579,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB81) | v142(constB81) | (~v135(constB81)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB81) | v142(constB81) | (~v135(constB81)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34580,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB81) | v142(constB81) | (~v135(constB81)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34581,plain,
% 26.30/17.66 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB81) | v142(constB81) | (~v135(constB81))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34580, 34579])).
% 26.30/17.66 tff(34582,plain,
% 26.30/17.66 (v142(constB81) | (~v135(constB81))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34581, 24247, 34578])).
% 26.30/17.66 tff(34583,plain,
% 26.30/17.66 (~v135(constB81)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34582, 34540])).
% 26.30/17.66 tff(34584,plain,
% 26.30/17.66 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))),
% 26.30/17.66 inference(rewrite,[status(thm)],[])).
% 26.30/17.66 tff(34585,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82)))),
% 26.30/17.66 inference(quant_inst,[status(thm)],[])).
% 26.30/17.66 tff(34586,plain,
% 26.30/17.66 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB81, constB82)) | v135(constB81) | (~v137(constB82))),
% 26.30/17.66 inference(modus_ponens,[status(thm)],[34585, 34584])).
% 26.30/17.66 tff(34587,plain,
% 26.30/17.66 (v135(constB81) | (~v137(constB82))),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34586, 24262, 9577])).
% 26.30/17.66 tff(34588,plain,
% 26.30/17.66 (~v137(constB82)),
% 26.30/17.66 inference(unit_resolution,[status(thm)],[34587, 34583])).
% 26.30/17.66 tff(34589,plain,
% 26.30/17.66 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB82) | (~v138(constB82)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB82) | (~v138(constB82)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34590,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB82) | (~v138(constB82)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34591,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB82) | (~v138(constB82))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34590, 34589])).
% 26.30/17.67 tff(34592,plain,
% 26.30/17.67 (~v138(constB82)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34591, 24277, 34588])).
% 26.30/17.67 tff(34593,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB82)) | (~v141(constB82)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB82)) | (~v141(constB82)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34594,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB82)) | (~v141(constB82)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34595,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB82)) | (~v141(constB82))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34594, 34593])).
% 26.30/17.67 tff(34596,plain,
% 26.30/17.67 (~v141(constB82)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34595, 24291, 9597])).
% 26.30/17.67 tff(34597,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB82) | (~v144(constB82)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB82) | (~v144(constB82)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34598,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB82) | (~v144(constB82)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34599,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB82) | (~v144(constB82))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34598, 34597])).
% 26.30/17.67 tff(34600,plain,
% 26.30/17.67 (~v144(constB82)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34599, 24305, 34596])).
% 26.30/17.67 tff(34601,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB82) | (~v142(constB82)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB82) | (~v142(constB82)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34602,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB82) | (~v142(constB82)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34603,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB82) | (~v142(constB82))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34602, 34601])).
% 26.30/17.67 tff(34604,plain,
% 26.30/17.67 (~v142(constB82)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34603, 2985, 34600])).
% 26.30/17.67 tff(34605,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB82) | v142(constB82) | (~v135(constB82)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB82) | v142(constB82) | (~v135(constB82)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34606,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB82) | v142(constB82) | (~v135(constB82)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34607,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB82) | v142(constB82) | (~v135(constB82))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34606, 34605])).
% 26.30/17.67 tff(34608,plain,
% 26.30/17.67 (v138(constB82) | (~v135(constB82))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34607, 24247, 34604])).
% 26.30/17.67 tff(34609,plain,
% 26.30/17.67 (~v135(constB82)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34608, 34592])).
% 26.30/17.67 tff(34610,plain,
% 26.30/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34611,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34612,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB82, constB83)) | v135(constB82) | (~v137(constB83))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34611, 34610])).
% 26.30/17.67 tff(34613,plain,
% 26.30/17.67 (v135(constB82) | (~v137(constB83))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34612, 24262, 9639])).
% 26.30/17.67 tff(34614,plain,
% 26.30/17.67 (~v137(constB83)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34613, 34609])).
% 26.30/17.67 tff(34615,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB83) | (~v153(constB83)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB83) | (~v153(constB83)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34616,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB83) | (~v153(constB83)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34617,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB83) | (~v153(constB83))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34616, 34615])).
% 26.30/17.67 tff(34618,plain,
% 26.30/17.67 (~v153(constB83)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34617, 24437, 34614])).
% 26.30/17.67 tff(34619,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB83)) | (~v155(constB83)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB83)) | (~v155(constB83)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34620,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB83)) | (~v155(constB83)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34621,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB83)) | (~v155(constB83))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34620, 34619])).
% 26.30/17.67 tff(34622,plain,
% 26.30/17.67 (~v155(constB83)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34621, 24482, 25558])).
% 26.30/17.67 tff(34623,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB83) | v155(constB83) | (~v150(constB83)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB83) | v155(constB83) | (~v150(constB83)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34624,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB83) | v155(constB83) | (~v150(constB83)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34625,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB83) | v155(constB83) | (~v150(constB83))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34624, 34623])).
% 26.30/17.67 tff(34626,plain,
% 26.30/17.67 (v153(constB83) | (~v150(constB83))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34625, 24496, 34622])).
% 26.30/17.67 tff(34627,plain,
% 26.30/17.67 (~v150(constB83)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34626, 34618])).
% 26.30/17.67 tff(34628,plain,
% 26.30/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34629,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34630,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB83, constB84)) | v150(constB83) | (~v152(constB84))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34629, 34628])).
% 26.30/17.67 tff(34631,plain,
% 26.30/17.67 (v150(constB83) | (~v152(constB84))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34630, 24511, 9759])).
% 26.30/17.67 tff(34632,plain,
% 26.30/17.67 (~v152(constB84)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34631, 34627])).
% 26.30/17.67 tff(34633,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB84) | (~v155(constB84)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB84) | (~v155(constB84)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34634,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB84) | (~v155(constB84)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34635,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB84) | (~v155(constB84))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34634, 34633])).
% 26.30/17.67 tff(34636,plain,
% 26.30/17.67 (~v155(constB84)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34635, 24526, 34632])).
% 26.30/17.67 tff(34637,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB84) | (~v154(constB84)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB84) | (~v154(constB84)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34638,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB84) | (~v154(constB84)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34639,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB84) | (~v154(constB84))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34638, 34637])).
% 26.30/17.67 tff(34640,plain,
% 26.30/17.67 (~v154(constB84)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34639, 24544, 25580])).
% 26.30/17.67 tff(34641,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB84) | (~v153(constB84)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB84) | (~v153(constB84)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34642,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB84) | (~v153(constB84)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34643,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB84) | (~v153(constB84))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34642, 34641])).
% 26.30/17.67 tff(34644,plain,
% 26.30/17.67 (~v153(constB84)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34643, 24558, 34640])).
% 26.30/17.67 tff(34645,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB84) | v155(constB84) | (~v150(constB84)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB84) | v155(constB84) | (~v150(constB84)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34646,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB84) | v155(constB84) | (~v150(constB84)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34647,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB84) | v155(constB84) | (~v150(constB84))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34646, 34645])).
% 26.30/17.67 tff(34648,plain,
% 26.30/17.67 (v155(constB84) | (~v150(constB84))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34647, 24496, 34644])).
% 26.30/17.67 tff(34649,plain,
% 26.30/17.67 (~v150(constB84)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34648, 34636])).
% 26.30/17.67 tff(34650,plain,
% 26.30/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34651,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34652,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB84, constB85)) | v150(constB84) | (~v152(constB85))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34651, 34650])).
% 26.30/17.67 tff(34653,plain,
% 26.30/17.67 (v150(constB84) | (~v152(constB85))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34652, 24511, 9821])).
% 26.30/17.67 tff(34654,plain,
% 26.30/17.67 (~v152(constB85)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34653, 34649])).
% 26.30/17.67 tff(34655,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB85) | (~v164(constB85)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB85) | (~v164(constB85)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34656,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB85) | (~v164(constB85)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34657,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB85) | (~v164(constB85))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34656, 34655])).
% 26.30/17.67 tff(34658,plain,
% 26.30/17.67 (~v164(constB85)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34657, 24674, 34654])).
% 26.30/17.67 tff(34659,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB85)) | (~v163(constB85)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB85)) | (~v163(constB85)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34660,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB85)) | (~v163(constB85)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34661,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB85)) | (~v163(constB85))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34660, 34659])).
% 26.30/17.67 tff(34662,plain,
% 26.30/17.67 (~v163(constB85)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34661, 24179, 25633])).
% 26.30/17.67 tff(34663,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB85) | v164(constB85) | (~v160(constB85)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB85) | v164(constB85) | (~v160(constB85)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34664,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB85) | v164(constB85) | (~v160(constB85)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34665,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB85) | v164(constB85) | (~v160(constB85))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34664, 34663])).
% 26.30/17.67 tff(34666,plain,
% 26.30/17.67 (v164(constB85) | (~v160(constB85))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34665, 24688, 34662])).
% 26.30/17.67 tff(34667,plain,
% 26.30/17.67 (~v160(constB85)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34666, 34658])).
% 26.30/17.67 tff(34668,plain,
% 26.30/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34669,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34670,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB85, constB86)) | v160(constB85) | (~v162(constB86))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34669, 34668])).
% 26.30/17.67 tff(34671,plain,
% 26.30/17.67 (v160(constB85) | (~v162(constB86))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34670, 24703, 9934])).
% 26.30/17.67 tff(34672,plain,
% 26.30/17.67 (~v162(constB86)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34671, 34667])).
% 26.30/17.67 tff(34673,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB86) | (~v163(constB86)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB86) | (~v163(constB86)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34674,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB86) | (~v163(constB86)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34675,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB86) | (~v163(constB86))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34674, 34673])).
% 26.30/17.67 tff(34676,plain,
% 26.30/17.67 (~v163(constB86)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34675, 24718, 34672])).
% 26.30/17.67 tff(34677,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB86) | (~v164(constB86)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB86) | (~v164(constB86)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34678,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB86) | (~v164(constB86)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34679,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB86) | (~v164(constB86))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34678, 34677])).
% 26.30/17.67 tff(34680,plain,
% 26.30/17.67 (~v164(constB86)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34679, 24740, 25659])).
% 26.30/17.67 tff(34681,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB86) | v164(constB86) | (~v160(constB86)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB86) | v164(constB86) | (~v160(constB86)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34682,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB86) | v164(constB86) | (~v160(constB86)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34683,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB86) | v164(constB86) | (~v160(constB86))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34682, 34681])).
% 26.30/17.67 tff(34684,plain,
% 26.30/17.67 (v163(constB86) | (~v160(constB86))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34683, 24688, 34680])).
% 26.30/17.67 tff(34685,plain,
% 26.30/17.67 (~v160(constB86)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34684, 34676])).
% 26.30/17.67 tff(34686,plain,
% 26.30/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34687,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34688,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB86, constB87)) | v160(constB86) | (~v162(constB87))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34687, 34686])).
% 26.30/17.67 tff(34689,plain,
% 26.30/17.67 (v160(constB86) | (~v162(constB87))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34688, 24703, 10023])).
% 26.30/17.67 tff(34690,plain,
% 26.30/17.67 (~v162(constB87)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34689, 34685])).
% 26.30/17.67 tff(34691,plain,
% 26.30/17.67 ($false),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34690, 34528])).
% 26.30/17.67 tff(34692,plain,(~(constB87 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.67 tff(34693,assumption,(constB42 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.67 tff(34694,plain,
% 26.30/17.67 (v1(constB42) <=> v1(sK0_VarCurr)),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34693])).
% 26.30/17.67 tff(34695,plain,
% 26.30/17.67 (v1(sK0_VarCurr) <=> v1(constB42)),
% 26.30/17.67 inference(symmetry,[status(thm)],[34694])).
% 26.30/17.67 tff(34696,plain,
% 26.30/17.67 ((~v1(sK0_VarCurr)) <=> (~v1(constB42))),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34695])).
% 26.30/17.67 tff(34697,plain,
% 26.30/17.67 (~v1(constB42)),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[25472, 34696])).
% 26.30/17.67 tff(34698,plain,
% 26.30/17.67 ($false),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[5369, 34697])).
% 26.30/17.67 tff(34699,plain,(~(constB42 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.67 tff(34700,assumption,(constB72 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.67 tff(34701,plain,
% 26.30/17.67 (v1(constB72) <=> v1(sK0_VarCurr)),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34700])).
% 26.30/17.67 tff(34702,plain,
% 26.30/17.67 (v1(sK0_VarCurr) <=> v1(constB72)),
% 26.30/17.67 inference(symmetry,[status(thm)],[34701])).
% 26.30/17.67 tff(34703,plain,
% 26.30/17.67 ((~v1(sK0_VarCurr)) <=> (~v1(constB72))),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34702])).
% 26.30/17.67 tff(34704,plain,
% 26.30/17.67 (~v1(constB72)),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[25472, 34703])).
% 26.30/17.67 tff(34705,plain,
% 26.30/17.67 ($false),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[8462, 34704])).
% 26.30/17.67 tff(34706,plain,(~(constB72 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.67 tff(34707,assumption,(constB68 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.67 tff(34708,plain,
% 26.30/17.67 (v1(constB68) <=> v1(sK0_VarCurr)),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34707])).
% 26.30/17.67 tff(34709,plain,
% 26.30/17.67 (v1(sK0_VarCurr) <=> v1(constB68)),
% 26.30/17.67 inference(symmetry,[status(thm)],[34708])).
% 26.30/17.67 tff(34710,plain,
% 26.30/17.67 ((~v1(sK0_VarCurr)) <=> (~v1(constB68))),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34709])).
% 26.30/17.67 tff(34711,plain,
% 26.30/17.67 (~v1(constB68)),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[25472, 34710])).
% 26.30/17.67 tff(34712,plain,
% 26.30/17.67 ($false),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[8061, 34711])).
% 26.30/17.67 tff(34713,plain,(~(constB68 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.67 tff(34714,assumption,(constB180 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.67 tff(34715,plain,
% 26.30/17.67 (v1(constB180) <=> v1(sK0_VarCurr)),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34714])).
% 26.30/17.67 tff(34716,plain,
% 26.30/17.67 (v1(sK0_VarCurr) <=> v1(constB180)),
% 26.30/17.67 inference(symmetry,[status(thm)],[34715])).
% 26.30/17.67 tff(34717,plain,
% 26.30/17.67 ((~v1(sK0_VarCurr)) <=> (~v1(constB180))),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34716])).
% 26.30/17.67 tff(34718,plain,
% 26.30/17.67 (~v1(constB180)),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[25472, 34717])).
% 26.30/17.67 tff(34719,plain,
% 26.30/17.67 ($false),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[22135, 34718])).
% 26.30/17.67 tff(34720,plain,(~(constB180 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.67 tff(34721,assumption,(constB159 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.67 tff(34722,plain,
% 26.30/17.67 (v162(constB159) <=> v162(sK0_VarCurr)),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34721])).
% 26.30/17.67 tff(34723,plain,
% 26.30/17.67 (v162(sK0_VarCurr) <=> v162(constB159)),
% 26.30/17.67 inference(symmetry,[status(thm)],[34722])).
% 26.30/17.67 tff(34724,plain,
% 26.30/17.67 (v162(constB159)),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[24130, 34723])).
% 26.30/17.67 tff(34725,assumption,(v18(constB158)), introduced(assumption)).
% 26.30/17.67 tff(34726,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB158))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34727,plain,
% 26.30/17.67 ($false),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34726, 3012, 34725])).
% 26.30/17.67 tff(34728,plain,(~v18(constB158)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.67 tff(34729,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34730,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB158) | (~v1(constB158)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34731,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB158) | (~v1(constB158))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34730, 34729])).
% 26.30/17.67 tff(34732,plain,
% 26.30/17.67 (v22(constB158)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34731, 3028, 19124])).
% 26.30/17.67 tff(34733,plain,
% 26.30/17.67 (((~![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)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34734,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB158) | (~v22(constB158)) | (~v19(constB158)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34735,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB158) | (~v22(constB158)) | (~v19(constB158))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34734, 34733])).
% 26.30/17.67 tff(34736,plain,
% 26.30/17.67 (v18(constB158) | (~v19(constB158))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34735, 3042, 34732])).
% 26.30/17.67 tff(34737,plain,
% 26.30/17.67 (~v19(constB158)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34736, 34728])).
% 26.30/17.67 tff(34738,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34739,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB158) | v19(constB158))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34740,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB158) | v19(constB158)),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34739, 34738])).
% 26.30/17.67 tff(34741,plain,
% 26.30/17.67 (v13(constB158)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34740, 3054, 34737])).
% 26.30/17.67 tff(34742,plain,
% 26.30/17.67 (((~![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)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34743,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34744,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB157) | (~v13(constB158)) | (~nextState(constB157, constB158))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34743, 34742])).
% 26.30/17.67 tff(34745,plain,
% 26.30/17.67 (v9(constB157) | (~v13(constB158))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34744, 3068, 19104])).
% 26.30/17.67 tff(34746,plain,
% 26.30/17.67 (v9(constB157)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34745, 34741])).
% 26.30/17.67 tff(34747,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v141(constB157))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB157) | (~v9(constB157)) | v141(constB157))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34748,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB157) | (~v9(constB157)) | v141(constB157))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34749,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB157) | (~v9(constB157)) | v141(constB157)),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34748, 34747])).
% 26.30/17.67 tff(34750,plain,
% 26.30/17.67 ((~v9(constB157)) | v141(constB157)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34749, 3083, 18964])).
% 26.30/17.67 tff(34751,plain,
% 26.30/17.67 (v141(constB157)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34750, 34746])).
% 26.30/17.67 tff(34752,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB157) | (~v141(constB157)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB157) | (~v141(constB157)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34753,plain,
% 26.30/17.67 (((~v141(constB157)) | v140(constB157)) <=> (v140(constB157) | (~v141(constB157)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34754,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB157)) | v140(constB157))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB157) | (~v141(constB157))))),
% 26.30/17.67 inference(monotonicity,[status(thm)],[34753])).
% 26.30/17.67 tff(34755,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB157)) | v140(constB157))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB157) | (~v141(constB157)))),
% 26.30/17.67 inference(transitivity,[status(thm)],[34754, 34752])).
% 26.30/17.67 tff(34756,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB157)) | v140(constB157))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34757,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB157) | (~v141(constB157))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34756, 34755])).
% 26.30/17.67 tff(34758,plain,
% 26.30/17.67 (v140(constB157)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34757, 24165, 34751])).
% 26.30/17.67 tff(34759,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB157)) | (~v163(constB157)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB157)) | (~v163(constB157)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34760,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB157)) | (~v163(constB157)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34761,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB157)) | (~v163(constB157))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34760, 34759])).
% 26.30/17.67 tff(34762,plain,
% 26.30/17.67 (~v163(constB157)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34761, 24179, 34758])).
% 26.30/17.67 tff(34763,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB155) | (~v153(constB155)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB155) | (~v153(constB155)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34764,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB155) | (~v153(constB155)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34765,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB155) | (~v153(constB155))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34764, 34763])).
% 26.30/17.67 tff(34766,plain,
% 26.30/17.67 (~v153(constB155)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34765, 24437, 26122])).
% 26.30/17.67 tff(34767,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB151)) | (~v84(constB151, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB151)) | (~v84(constB151, bitIndex1)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34768,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB151)) | (~v84(constB151, bitIndex1)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34769,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB151)) | (~v84(constB151, bitIndex1))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34768, 34767])).
% 26.30/17.67 tff(34770,plain,
% 26.30/17.67 (~v145(constB151)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34769, 2018, 18275])).
% 26.30/17.67 tff(34771,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB151) | (~v144(constB151)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB151) | (~v144(constB151)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34772,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB151) | (~v144(constB151)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34773,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB151) | (~v144(constB151))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34772, 34771])).
% 26.30/17.67 tff(34774,plain,
% 26.30/17.67 (~v144(constB151)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34773, 2971, 34770])).
% 26.30/17.67 tff(34775,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB151) | (~v142(constB151)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB151) | (~v142(constB151)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34776,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB151) | (~v142(constB151)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34777,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB151) | (~v142(constB151))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34776, 34775])).
% 26.30/17.67 tff(34778,plain,
% 26.30/17.67 (~v142(constB151)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34777, 2985, 34774])).
% 26.30/17.67 tff(34779,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v141(constB151))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB151) | (~v9(constB151)) | v141(constB151))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34780,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB151) | (~v9(constB151)) | v141(constB151))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34781,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB151) | (~v9(constB151)) | v141(constB151)),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34780, 34779])).
% 26.30/17.67 tff(34782,plain,
% 26.30/17.67 ((~v9(constB151)) | v141(constB151)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34781, 3083, 18220])).
% 26.30/17.67 tff(34783,plain,
% 26.30/17.67 (v141(constB151)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34782, 18382])).
% 26.30/17.67 tff(34784,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB151)) | v140(constB151))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB151)) | v140(constB151))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34785,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB151)) | v140(constB151))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34786,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB151)) | v140(constB151)),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34785, 34784])).
% 26.30/17.67 tff(34787,plain,
% 26.30/17.67 (v140(constB151)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34786, 24165, 34783])).
% 26.30/17.67 tff(34788,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB151)) | (~v140(constB151)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB151)) | (~v140(constB151)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34789,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB151)) | (~v140(constB151)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34790,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB151)) | (~v140(constB151))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34789, 34788])).
% 26.30/17.67 tff(34791,plain,
% 26.30/17.67 (~v138(constB151)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34790, 24221, 34787])).
% 26.30/17.67 tff(34792,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB151) | v142(constB151) | (~v135(constB151)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB151) | v142(constB151) | (~v135(constB151)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34793,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB151) | v142(constB151) | (~v135(constB151)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34794,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB151) | v142(constB151) | (~v135(constB151))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34793, 34792])).
% 26.30/17.67 tff(34795,plain,
% 26.30/17.67 (v142(constB151) | (~v135(constB151))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34794, 24247, 34791])).
% 26.30/17.67 tff(34796,plain,
% 26.30/17.67 (~v135(constB151)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34795, 34778])).
% 26.30/17.67 tff(34797,plain,
% 26.30/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34798,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34799,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB151, constB152)) | v135(constB151) | (~v137(constB152))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34798, 34797])).
% 26.30/17.67 tff(34800,plain,
% 26.30/17.67 (v135(constB151) | (~v137(constB152))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34799, 24262, 18377])).
% 26.30/17.67 tff(34801,plain,
% 26.30/17.67 (~v137(constB152)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34800, 34796])).
% 26.30/17.67 tff(34802,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB152) | (~v138(constB152)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB152) | (~v138(constB152)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34803,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB152) | (~v138(constB152)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34804,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB152) | (~v138(constB152))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34803, 34802])).
% 26.30/17.67 tff(34805,plain,
% 26.30/17.67 (~v138(constB152)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34804, 24277, 34801])).
% 26.30/17.67 tff(34806,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB152)) | (~v141(constB152)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB152)) | (~v141(constB152)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34807,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB152)) | (~v141(constB152)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34808,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB152)) | (~v141(constB152))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34807, 34806])).
% 26.30/17.67 tff(34809,plain,
% 26.30/17.67 (~v141(constB152)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34808, 24291, 18361])).
% 26.30/17.67 tff(34810,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB152) | (~v144(constB152)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB152) | (~v144(constB152)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34811,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB152) | (~v144(constB152)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34812,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB152) | (~v144(constB152))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34811, 34810])).
% 26.30/17.67 tff(34813,plain,
% 26.30/17.67 (~v144(constB152)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34812, 24305, 34809])).
% 26.30/17.67 tff(34814,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB152) | (~v142(constB152)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB152) | (~v142(constB152)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34815,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB152) | (~v142(constB152)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34816,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB152) | (~v142(constB152))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34815, 34814])).
% 26.30/17.67 tff(34817,plain,
% 26.30/17.67 (~v142(constB152)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34816, 2985, 34813])).
% 26.30/17.67 tff(34818,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB152) | v142(constB152) | (~v135(constB152)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB152) | v142(constB152) | (~v135(constB152)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34819,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB152) | v142(constB152) | (~v135(constB152)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34820,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB152) | v142(constB152) | (~v135(constB152))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34819, 34818])).
% 26.30/17.67 tff(34821,plain,
% 26.30/17.67 (v138(constB152) | (~v135(constB152))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34820, 24247, 34817])).
% 26.30/17.67 tff(34822,plain,
% 26.30/17.67 (~v135(constB152)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34821, 34805])).
% 26.30/17.67 tff(34823,plain,
% 26.30/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34824,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34825,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB152, constB153)) | v135(constB152) | (~v137(constB153))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34824, 34823])).
% 26.30/17.67 tff(34826,plain,
% 26.30/17.67 (v135(constB152) | (~v137(constB153))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34825, 24262, 18591])).
% 26.30/17.67 tff(34827,plain,
% 26.30/17.67 (~v137(constB153)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34826, 34822])).
% 26.30/17.67 tff(34828,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB153) | (~v153(constB153)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB153) | (~v153(constB153)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34829,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB153) | (~v153(constB153)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34830,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB153) | (~v153(constB153))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34829, 34828])).
% 26.30/17.67 tff(34831,plain,
% 26.30/17.67 (~v153(constB153)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34830, 24437, 34827])).
% 26.30/17.67 tff(34832,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB153)) | (~v155(constB153)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB153)) | (~v155(constB153)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34833,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB153)) | (~v155(constB153)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34834,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB153)) | (~v155(constB153))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34833, 34832])).
% 26.30/17.67 tff(34835,plain,
% 26.30/17.67 (~v155(constB153)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34834, 24482, 26082])).
% 26.30/17.67 tff(34836,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB153) | v155(constB153) | (~v150(constB153)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB153) | v155(constB153) | (~v150(constB153)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34837,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB153) | v155(constB153) | (~v150(constB153)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34838,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB153) | v155(constB153) | (~v150(constB153))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34837, 34836])).
% 26.30/17.67 tff(34839,plain,
% 26.30/17.67 (v153(constB153) | (~v150(constB153))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34838, 24496, 34835])).
% 26.30/17.67 tff(34840,plain,
% 26.30/17.67 (~v150(constB153)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34839, 34831])).
% 26.30/17.67 tff(34841,plain,
% 26.30/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34842,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34843,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB153, constB154)) | v150(constB153) | (~v152(constB154))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34842, 34841])).
% 26.30/17.67 tff(34844,plain,
% 26.30/17.67 (v150(constB153) | (~v152(constB154))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34843, 24511, 18719])).
% 26.30/17.67 tff(34845,plain,
% 26.30/17.67 (~v152(constB154)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34844, 34840])).
% 26.30/17.67 tff(34846,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB154) | (~v155(constB154)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB154) | (~v155(constB154)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34847,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB154) | (~v155(constB154)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34848,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB154) | (~v155(constB154))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34847, 34846])).
% 26.30/17.67 tff(34849,plain,
% 26.30/17.67 (~v155(constB154)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34848, 24526, 34845])).
% 26.30/17.67 tff(34850,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB154) | (~v154(constB154)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB154) | (~v154(constB154)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34851,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB154) | (~v154(constB154)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34852,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB154) | (~v154(constB154))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34851, 34850])).
% 26.30/17.67 tff(34853,plain,
% 26.30/17.67 (~v154(constB154)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34852, 24544, 26104])).
% 26.30/17.67 tff(34854,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB154) | (~v153(constB154)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB154) | (~v153(constB154)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34855,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB154) | (~v153(constB154)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34856,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB154) | (~v153(constB154))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34855, 34854])).
% 26.30/17.67 tff(34857,plain,
% 26.30/17.67 (~v153(constB154)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34856, 24558, 34853])).
% 26.30/17.67 tff(34858,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB154) | v155(constB154) | (~v150(constB154)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB154) | v155(constB154) | (~v150(constB154)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34859,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB154) | v155(constB154) | (~v150(constB154)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34860,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB154) | v155(constB154) | (~v150(constB154))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34859, 34858])).
% 26.30/17.67 tff(34861,plain,
% 26.30/17.67 (v155(constB154) | (~v150(constB154))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34860, 24496, 34857])).
% 26.30/17.67 tff(34862,plain,
% 26.30/17.67 (~v150(constB154)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34861, 34849])).
% 26.30/17.67 tff(34863,plain,
% 26.30/17.67 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34864,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34865,plain,
% 26.30/17.67 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB154, constB155)) | v150(constB154) | (~v152(constB155))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34864, 34863])).
% 26.30/17.67 tff(34866,plain,
% 26.30/17.67 (v150(constB154) | (~v152(constB155))),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34865, 24511, 18781])).
% 26.30/17.67 tff(34867,plain,
% 26.30/17.67 (~v152(constB155)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34866, 34862])).
% 26.30/17.67 tff(34868,plain,
% 26.30/17.67 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB155) | (~v155(constB155)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB155) | (~v155(constB155)))),
% 26.30/17.67 inference(rewrite,[status(thm)],[])).
% 26.30/17.67 tff(34869,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB155) | (~v155(constB155)))),
% 26.30/17.67 inference(quant_inst,[status(thm)],[])).
% 26.30/17.67 tff(34870,plain,
% 26.30/17.67 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB155) | (~v155(constB155))),
% 26.30/17.67 inference(modus_ponens,[status(thm)],[34869, 34868])).
% 26.30/17.67 tff(34871,plain,
% 26.30/17.67 (~v155(constB155)),
% 26.30/17.67 inference(unit_resolution,[status(thm)],[34870, 24526, 34867])).
% 26.30/17.67 tff(34872,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB155) | v155(constB155) | (~v150(constB155)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB155) | v155(constB155) | (~v150(constB155)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34873,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB155) | v155(constB155) | (~v150(constB155)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34874,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB155) | v155(constB155) | (~v150(constB155))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34873, 34872])).
% 26.30/17.68 tff(34875,plain,
% 26.30/17.68 (v153(constB155) | (~v150(constB155))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34874, 24496, 34871])).
% 26.30/17.68 tff(34876,plain,
% 26.30/17.68 (~v150(constB155)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34875, 34766])).
% 26.30/17.68 tff(34877,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34878,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34879,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB155, constB156)) | v150(constB155) | (~v152(constB156))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34878, 34877])).
% 26.30/17.68 tff(34880,plain,
% 26.30/17.68 (v150(constB155) | (~v152(constB156))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34879, 24511, 18905])).
% 26.30/17.68 tff(34881,plain,
% 26.30/17.68 (~v152(constB156)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34880, 34876])).
% 26.30/17.68 tff(34882,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB156) | (~v155(constB156)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB156) | (~v155(constB156)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34883,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB156) | (~v155(constB156)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34884,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB156) | (~v155(constB156))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34883, 34882])).
% 26.30/17.68 tff(34885,plain,
% 26.30/17.68 (~v155(constB156)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34884, 24526, 34881])).
% 26.30/17.68 tff(34886,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB156) | (~v154(constB156)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB156) | (~v154(constB156)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34887,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB156) | (~v154(constB156)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34888,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB156) | (~v154(constB156))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34887, 34886])).
% 26.30/17.68 tff(34889,plain,
% 26.30/17.68 (~v154(constB156)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34888, 24544, 26144])).
% 26.30/17.68 tff(34890,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB156) | (~v153(constB156)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB156) | (~v153(constB156)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34891,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB156) | (~v153(constB156)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34892,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB156) | (~v153(constB156))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34891, 34890])).
% 26.30/17.68 tff(34893,plain,
% 26.30/17.68 (~v153(constB156)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34892, 24558, 34889])).
% 26.30/17.68 tff(34894,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB156) | v155(constB156) | (~v150(constB156)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB156) | v155(constB156) | (~v150(constB156)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34895,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB156) | v155(constB156) | (~v150(constB156)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34896,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB156) | v155(constB156) | (~v150(constB156))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34895, 34894])).
% 26.30/17.68 tff(34897,plain,
% 26.30/17.68 (v155(constB156) | (~v150(constB156))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34896, 24496, 34893])).
% 26.30/17.68 tff(34898,plain,
% 26.30/17.68 (~v150(constB156)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34897, 34885])).
% 26.30/17.68 tff(34899,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34900,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34901,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB156, constB157)) | v150(constB156) | (~v152(constB157))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34900, 34899])).
% 26.30/17.68 tff(34902,plain,
% 26.30/17.68 (v150(constB156) | (~v152(constB157))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34901, 24511, 18967])).
% 26.30/17.68 tff(34903,plain,
% 26.30/17.68 (~v152(constB157)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34902, 34898])).
% 26.30/17.68 tff(34904,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB157) | (~v164(constB157)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB157) | (~v164(constB157)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34905,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB157) | (~v164(constB157)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34906,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB157) | (~v164(constB157))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34905, 34904])).
% 26.30/17.68 tff(34907,plain,
% 26.30/17.68 (~v164(constB157)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34906, 24674, 34903])).
% 26.30/17.68 tff(34908,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB157) | v164(constB157) | (~v160(constB157)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB157) | v164(constB157) | (~v160(constB157)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34909,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB157) | v164(constB157) | (~v160(constB157)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34910,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB157) | v164(constB157) | (~v160(constB157))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34909, 34908])).
% 26.30/17.68 tff(34911,plain,
% 26.30/17.68 (v163(constB157) | (~v160(constB157))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34910, 24688, 34907])).
% 26.30/17.68 tff(34912,plain,
% 26.30/17.68 (~v160(constB157)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34911, 34762])).
% 26.30/17.68 tff(34913,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34914,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34915,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB157, constB158)) | v160(constB157) | (~v162(constB158))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34914, 34913])).
% 26.30/17.68 tff(34916,plain,
% 26.30/17.68 (v160(constB157) | (~v162(constB158))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34915, 24703, 19104])).
% 26.30/17.68 tff(34917,plain,
% 26.30/17.68 (~v162(constB158)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34916, 34912])).
% 26.30/17.68 tff(34918,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB158) | (~v163(constB158)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB158) | (~v163(constB158)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34919,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB158) | (~v163(constB158)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34920,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB158) | (~v163(constB158))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34919, 34918])).
% 26.30/17.68 tff(34921,plain,
% 26.30/17.68 (~v163(constB158)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34920, 24718, 34917])).
% 26.30/17.68 tff(34922,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB158) | (~v154(constB158)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB158) | (~v154(constB158)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34923,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB158) | (~v154(constB158)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34924,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB158) | (~v154(constB158))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34923, 34922])).
% 26.30/17.68 tff(34925,plain,
% 26.30/17.68 (~v154(constB158)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34924, 24544, 26184])).
% 26.30/17.68 tff(34926,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB158) | (~v164(constB158)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB158) | (~v164(constB158)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34927,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB158) | (~v164(constB158)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34928,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB158) | (~v164(constB158))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34927, 34926])).
% 26.30/17.68 tff(34929,plain,
% 26.30/17.68 (~v164(constB158)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34928, 24740, 34925])).
% 26.30/17.68 tff(34930,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB158) | v164(constB158) | (~v160(constB158)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB158) | v164(constB158) | (~v160(constB158)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34931,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB158) | v164(constB158) | (~v160(constB158)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34932,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB158) | v164(constB158) | (~v160(constB158))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34931, 34930])).
% 26.30/17.68 tff(34933,plain,
% 26.30/17.68 (v163(constB158) | (~v160(constB158))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34932, 24688, 34929])).
% 26.30/17.68 tff(34934,plain,
% 26.30/17.68 (~v160(constB158)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34933, 34921])).
% 26.30/17.68 tff(34935,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34936,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34937,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB158, constB159)) | v160(constB158) | (~v162(constB159))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34936, 34935])).
% 26.30/17.68 tff(34938,plain,
% 26.30/17.68 (v160(constB158) | (~v162(constB159))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34937, 24703, 19201])).
% 26.30/17.68 tff(34939,plain,
% 26.30/17.68 (~v162(constB159)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34938, 34934])).
% 26.30/17.68 tff(34940,plain,
% 26.30/17.68 ($false),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34939, 34724])).
% 26.30/17.68 tff(34941,plain,(~(constB159 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.68 tff(34942,assumption,(constB60 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.68 tff(34943,plain,
% 26.30/17.68 (v1(constB60) <=> v1(sK0_VarCurr)),
% 26.30/17.68 inference(monotonicity,[status(thm)],[34942])).
% 26.30/17.68 tff(34944,plain,
% 26.30/17.68 (v1(sK0_VarCurr) <=> v1(constB60)),
% 26.30/17.68 inference(symmetry,[status(thm)],[34943])).
% 26.30/17.68 tff(34945,plain,
% 26.30/17.68 ((~v1(sK0_VarCurr)) <=> (~v1(constB60))),
% 26.30/17.68 inference(monotonicity,[status(thm)],[34944])).
% 26.30/17.68 tff(34946,plain,
% 26.30/17.68 (~v1(constB60)),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[25472, 34945])).
% 26.30/17.68 tff(34947,plain,
% 26.30/17.68 ($false),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[7250, 34946])).
% 26.30/17.68 tff(34948,plain,(~(constB60 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.68 tff(34949,assumption,(constB106 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.68 tff(34950,plain,
% 26.30/17.68 (v1(constB106) <=> v1(sK0_VarCurr)),
% 26.30/17.68 inference(monotonicity,[status(thm)],[34949])).
% 26.30/17.68 tff(34951,plain,
% 26.30/17.68 (v1(sK0_VarCurr) <=> v1(constB106)),
% 26.30/17.68 inference(symmetry,[status(thm)],[34950])).
% 26.30/17.68 tff(34952,plain,
% 26.30/17.68 ((~v1(sK0_VarCurr)) <=> (~v1(constB106))),
% 26.30/17.68 inference(monotonicity,[status(thm)],[34951])).
% 26.30/17.68 tff(34953,plain,
% 26.30/17.68 (~v1(constB106)),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[25472, 34952])).
% 26.30/17.68 tff(34954,plain,
% 26.30/17.68 ($false),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[12288, 34953])).
% 26.30/17.68 tff(34955,plain,(~(constB106 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.68 tff(34956,assumption,(constB99 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.68 tff(34957,plain,
% 26.30/17.68 (v162(constB99) <=> v162(sK0_VarCurr)),
% 26.30/17.68 inference(monotonicity,[status(thm)],[34956])).
% 26.30/17.68 tff(34958,plain,
% 26.30/17.68 (v162(sK0_VarCurr) <=> v162(constB99)),
% 26.30/17.68 inference(symmetry,[status(thm)],[34957])).
% 26.30/17.68 tff(34959,plain,
% 26.30/17.68 (v162(constB99)),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[24130, 34958])).
% 26.30/17.68 tff(34960,assumption,(v18(constB94)), introduced(assumption)).
% 26.30/17.68 tff(34961,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB94))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34962,plain,
% 26.30/17.68 ($false),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34961, 3012, 34960])).
% 26.30/17.68 tff(34963,plain,(~v18(constB94)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.68 tff(34964,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34965,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB94) | (~v1(constB94)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34966,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB94) | (~v1(constB94))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34965, 34964])).
% 26.30/17.68 tff(34967,plain,
% 26.30/17.68 (v22(constB94)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34966, 3028, 10868])).
% 26.30/17.68 tff(34968,plain,
% 26.30/17.68 (((~![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)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34969,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB94) | (~v22(constB94)) | (~v19(constB94)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34970,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB94) | (~v22(constB94)) | (~v19(constB94))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34969, 34968])).
% 26.30/17.68 tff(34971,plain,
% 26.30/17.68 (v18(constB94) | (~v19(constB94))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34970, 3042, 34967])).
% 26.30/17.68 tff(34972,plain,
% 26.30/17.68 (~v19(constB94)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34971, 34963])).
% 26.30/17.68 tff(34973,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34974,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB94) | v19(constB94))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34975,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB94) | v19(constB94)),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34974, 34973])).
% 26.30/17.68 tff(34976,plain,
% 26.30/17.68 (v13(constB94)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34975, 3054, 34972])).
% 26.30/17.68 tff(34977,plain,
% 26.30/17.68 (((~![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)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34978,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34979,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB93) | (~v13(constB94)) | (~nextState(constB93, constB94))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34978, 34977])).
% 26.30/17.68 tff(34980,plain,
% 26.30/17.68 (v9(constB93) | (~v13(constB94))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34979, 3068, 10842])).
% 26.30/17.68 tff(34981,plain,
% 26.30/17.68 (v9(constB93)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34980, 34976])).
% 26.30/17.68 tff(34982,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v141(constB93))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB93) | (~v9(constB93)) | v141(constB93))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34983,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB93) | (~v9(constB93)) | v141(constB93))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34984,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB93) | (~v9(constB93)) | v141(constB93)),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34983, 34982])).
% 26.30/17.68 tff(34985,plain,
% 26.30/17.68 ((~v9(constB93)) | v141(constB93)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34984, 3083, 10707])).
% 26.30/17.68 tff(34986,plain,
% 26.30/17.68 (v141(constB93)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34985, 34981])).
% 26.30/17.68 tff(34987,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB93)) | v140(constB93))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB93)) | v140(constB93))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34988,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB93)) | v140(constB93))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34989,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB93)) | v140(constB93)),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34988, 34987])).
% 26.30/17.68 tff(34990,plain,
% 26.30/17.68 (v140(constB93)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34989, 24165, 34986])).
% 26.30/17.68 tff(34991,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB93)) | (~v155(constB93)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB93)) | (~v155(constB93)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34992,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB93)) | (~v155(constB93)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34993,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB93)) | (~v155(constB93))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34992, 34991])).
% 26.30/17.68 tff(34994,plain,
% 26.30/17.68 (~v155(constB93)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34993, 24482, 34990])).
% 26.30/17.68 tff(34995,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB93) | (~v153(constB93)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB93) | (~v153(constB93)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(34996,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB93) | (~v153(constB93)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(34997,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB93) | (~v153(constB93))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[34996, 34995])).
% 26.30/17.68 tff(34998,plain,
% 26.30/17.68 (~v153(constB93)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[34997, 24437, 24375])).
% 26.30/17.68 tff(34999,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB93) | v155(constB93) | (~v150(constB93)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB93) | v155(constB93) | (~v150(constB93)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35000,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB93) | v155(constB93) | (~v150(constB93)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35001,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB93) | v155(constB93) | (~v150(constB93))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35000, 34999])).
% 26.30/17.68 tff(35002,plain,
% 26.30/17.68 (v155(constB93) | (~v150(constB93))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35001, 24496, 34998])).
% 26.30/17.68 tff(35003,plain,
% 26.30/17.68 (~v150(constB93)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35002, 34994])).
% 26.30/17.68 tff(35004,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35005,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35006,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB93, constB94)) | v150(constB93) | (~v152(constB94))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35005, 35004])).
% 26.30/17.68 tff(35007,plain,
% 26.30/17.68 (v150(constB93) | (~v152(constB94))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35006, 24511, 10842])).
% 26.30/17.68 tff(35008,plain,
% 26.30/17.68 (~v152(constB94)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35007, 35003])).
% 26.30/17.68 tff(35009,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB94) | (~v155(constB94)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB94) | (~v155(constB94)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35010,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB94) | (~v155(constB94)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35011,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB94) | (~v155(constB94))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35010, 35009])).
% 26.30/17.68 tff(35012,plain,
% 26.30/17.68 (~v155(constB94)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35011, 24526, 35008])).
% 26.30/17.68 tff(35013,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB94) | (~v154(constB94)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB94) | (~v154(constB94)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35014,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB94) | (~v154(constB94)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35015,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB94) | (~v154(constB94))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35014, 35013])).
% 26.30/17.68 tff(35016,plain,
% 26.30/17.68 (~v154(constB94)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35015, 24544, 24409])).
% 26.30/17.68 tff(35017,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB94) | (~v153(constB94)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB94) | (~v153(constB94)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35018,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB94) | (~v153(constB94)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35019,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB94) | (~v153(constB94))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35018, 35017])).
% 26.30/17.68 tff(35020,plain,
% 26.30/17.68 (~v153(constB94)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35019, 24558, 35016])).
% 26.30/17.68 tff(35021,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB94) | v155(constB94) | (~v150(constB94)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB94) | v155(constB94) | (~v150(constB94)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35022,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB94) | v155(constB94) | (~v150(constB94)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35023,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB94) | v155(constB94) | (~v150(constB94))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35022, 35021])).
% 26.30/17.68 tff(35024,plain,
% 26.30/17.68 (v155(constB94) | (~v150(constB94))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35023, 24496, 35020])).
% 26.30/17.68 tff(35025,plain,
% 26.30/17.68 (~v150(constB94)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35024, 35012])).
% 26.30/17.68 tff(35026,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35027,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35028,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB94, constB95)) | v150(constB94) | (~v152(constB95))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35027, 35026])).
% 26.30/17.68 tff(35029,plain,
% 26.30/17.68 (v150(constB94) | (~v152(constB95))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35028, 24511, 10936])).
% 26.30/17.68 tff(35030,plain,
% 26.30/17.68 (~v152(constB95)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35029, 35025])).
% 26.30/17.68 tff(35031,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB95) | (~v164(constB95)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB95) | (~v164(constB95)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35032,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB95) | (~v164(constB95)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35033,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB95) | (~v164(constB95))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35032, 35031])).
% 26.30/17.68 tff(35034,plain,
% 26.30/17.68 (~v164(constB95)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35033, 24674, 35030])).
% 26.30/17.68 tff(35035,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB95)) | (~v163(constB95)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB95)) | (~v163(constB95)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35036,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB95)) | (~v163(constB95)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35037,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB95)) | (~v163(constB95))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35036, 35035])).
% 26.30/17.68 tff(35038,plain,
% 26.30/17.68 (~v163(constB95)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35037, 24179, 24472])).
% 26.30/17.68 tff(35039,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB95) | v164(constB95) | (~v160(constB95)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB95) | v164(constB95) | (~v160(constB95)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35040,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB95) | v164(constB95) | (~v160(constB95)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35041,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB95) | v164(constB95) | (~v160(constB95))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35040, 35039])).
% 26.30/17.68 tff(35042,plain,
% 26.30/17.68 (v164(constB95) | (~v160(constB95))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35041, 24688, 35038])).
% 26.30/17.68 tff(35043,plain,
% 26.30/17.68 (~v160(constB95)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35042, 35034])).
% 26.30/17.68 tff(35044,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35045,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35046,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB95, constB96)) | v160(constB95) | (~v162(constB96))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35045, 35044])).
% 26.30/17.68 tff(35047,plain,
% 26.30/17.68 (v160(constB95) | (~v162(constB96))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35046, 24703, 11041])).
% 26.30/17.68 tff(35048,plain,
% 26.30/17.68 (~v162(constB96)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35047, 35043])).
% 26.30/17.68 tff(35049,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB96) | (~v163(constB96)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB96) | (~v163(constB96)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35050,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB96) | (~v163(constB96)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35051,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB96) | (~v163(constB96))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35050, 35049])).
% 26.30/17.68 tff(35052,plain,
% 26.30/17.68 (~v163(constB96)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35051, 24718, 35048])).
% 26.30/17.68 tff(35053,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB96) | (~v164(constB96)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB96) | (~v164(constB96)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35054,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB96) | (~v164(constB96)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35055,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB96) | (~v164(constB96))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35054, 35053])).
% 26.30/17.68 tff(35056,plain,
% 26.30/17.68 (~v164(constB96)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35055, 24740, 24548])).
% 26.30/17.68 tff(35057,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB96) | v164(constB96) | (~v160(constB96)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB96) | v164(constB96) | (~v160(constB96)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35058,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB96) | v164(constB96) | (~v160(constB96)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35059,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB96) | v164(constB96) | (~v160(constB96))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35058, 35057])).
% 26.30/17.68 tff(35060,plain,
% 26.30/17.68 (v163(constB96) | (~v160(constB96))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35059, 24688, 35056])).
% 26.30/17.68 tff(35061,plain,
% 26.30/17.68 (~v160(constB96)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35060, 35052])).
% 26.30/17.68 tff(35062,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35063,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35064,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB96, constB97)) | v160(constB96) | (~v162(constB97))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35063, 35062])).
% 26.30/17.68 tff(35065,plain,
% 26.30/17.68 (v160(constB96) | (~v162(constB97))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35064, 24703, 11103])).
% 26.30/17.68 tff(35066,plain,
% 26.30/17.68 (~v162(constB97)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35065, 35061])).
% 26.30/17.68 tff(35067,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB97) | (~v163(constB97)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB97) | (~v163(constB97)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35068,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB97) | (~v163(constB97)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35069,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB97) | (~v163(constB97))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35068, 35067])).
% 26.30/17.68 tff(35070,plain,
% 26.30/17.68 (~v163(constB97)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35069, 24718, 35066])).
% 26.30/17.68 tff(35071,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB97) | (~v164(constB97)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB97) | (~v164(constB97)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35072,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB97) | (~v164(constB97)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35073,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB97) | (~v164(constB97))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35072, 35071])).
% 26.30/17.68 tff(35074,plain,
% 26.30/17.68 (~v164(constB97)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35073, 24674, 24572])).
% 26.30/17.68 tff(35075,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB97) | v164(constB97) | (~v160(constB97)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB97) | v164(constB97) | (~v160(constB97)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35076,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB97) | v164(constB97) | (~v160(constB97)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35077,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB97) | v164(constB97) | (~v160(constB97))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35076, 35075])).
% 26.30/17.68 tff(35078,plain,
% 26.30/17.68 (v163(constB97) | (~v160(constB97))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35077, 24688, 35074])).
% 26.30/17.68 tff(35079,plain,
% 26.30/17.68 (~v160(constB97)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35078, 35070])).
% 26.30/17.68 tff(35080,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35081,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35082,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB97, constB98)) | v160(constB97) | (~v162(constB98))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35081, 35080])).
% 26.30/17.68 tff(35083,plain,
% 26.30/17.68 (v160(constB97) | (~v162(constB98))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35082, 24703, 11222])).
% 26.30/17.68 tff(35084,plain,
% 26.30/17.68 (~v162(constB98)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35083, 35079])).
% 26.30/17.68 tff(35085,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB98) | (~v163(constB98)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB98) | (~v163(constB98)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35086,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB98) | (~v163(constB98)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35087,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB98) | (~v163(constB98))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35086, 35085])).
% 26.30/17.68 tff(35088,plain,
% 26.30/17.68 (~v163(constB98)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35087, 24718, 35084])).
% 26.30/17.68 tff(35089,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB98) | (~v164(constB98)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB98) | (~v164(constB98)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35090,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB98) | (~v164(constB98)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35091,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB98) | (~v164(constB98))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35090, 35089])).
% 26.30/17.68 tff(35092,plain,
% 26.30/17.68 (~v164(constB98)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35091, 24740, 24650])).
% 26.30/17.68 tff(35093,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB98) | v164(constB98) | (~v160(constB98)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB98) | v164(constB98) | (~v160(constB98)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35094,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB98) | v164(constB98) | (~v160(constB98)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35095,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB98) | v164(constB98) | (~v160(constB98))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35094, 35093])).
% 26.30/17.68 tff(35096,plain,
% 26.30/17.68 (v163(constB98) | (~v160(constB98))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35095, 24688, 35092])).
% 26.30/17.68 tff(35097,plain,
% 26.30/17.68 (~v160(constB98)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35096, 35088])).
% 26.30/17.68 tff(35098,plain,
% 26.30/17.68 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35099,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35100,plain,
% 26.30/17.68 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB98, constB99)) | v160(constB98) | (~v162(constB99))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35099, 35098])).
% 26.30/17.68 tff(35101,plain,
% 26.30/17.68 (v160(constB98) | (~v162(constB99))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35100, 24703, 11311])).
% 26.30/17.68 tff(35102,plain,
% 26.30/17.68 (~v162(constB99)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35101, 35097])).
% 26.30/17.68 tff(35103,plain,
% 26.30/17.68 ($false),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35102, 34959])).
% 26.30/17.68 tff(35104,plain,(~(constB99 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.68 tff(35105,assumption,(constB83 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.68 tff(35106,plain,
% 26.30/17.68 (v162(constB83) <=> v162(sK0_VarCurr)),
% 26.30/17.68 inference(monotonicity,[status(thm)],[35105])).
% 26.30/17.68 tff(35107,plain,
% 26.30/17.68 (v162(sK0_VarCurr) <=> v162(constB83)),
% 26.30/17.68 inference(symmetry,[status(thm)],[35106])).
% 26.30/17.68 tff(35108,plain,
% 26.30/17.68 (v162(constB83)),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[24130, 35107])).
% 26.30/17.68 tff(35109,plain,
% 26.30/17.68 (v124(constB75, bitIndex1)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[9102, 798, 8829])).
% 26.30/17.68 tff(35110,plain,
% 26.30/17.68 (v121(constB75, bitIndex1)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[9107, 35109])).
% 26.30/17.68 tff(35111,plain,
% 26.30/17.68 (v123(constB76, bitIndex1)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[9112, 35110])).
% 26.30/17.68 tff(35112,plain,
% 26.30/17.68 (v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1))),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[9119, 842, 9010])).
% 26.30/17.68 tff(35113,plain,
% 26.30/17.68 (v84(constB76, bitIndex1)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35112, 35111])).
% 26.30/17.68 tff(35114,plain,
% 26.30/17.68 (v84(constB77, bitIndex1)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[9129, 35113])).
% 26.30/17.68 tff(35115,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB77)) | (~v84(constB77, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB77)) | (~v84(constB77, bitIndex1)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35116,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB77)) | (~v84(constB77, bitIndex1)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35117,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB77)) | (~v84(constB77, bitIndex1))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35116, 35115])).
% 26.30/17.68 tff(35118,plain,
% 26.30/17.68 (~v145(constB77)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35117, 2018, 35114])).
% 26.30/17.68 tff(35119,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB77) | (~v144(constB77)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB77) | (~v144(constB77)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35120,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB77) | (~v144(constB77)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35121,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB77) | (~v144(constB77))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35120, 35119])).
% 26.30/17.68 tff(35122,plain,
% 26.30/17.68 (~v144(constB77)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35121, 2971, 35118])).
% 26.30/17.68 tff(35123,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB77) | (~v142(constB77)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB77) | (~v142(constB77)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35124,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB77) | (~v142(constB77)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35125,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB77) | (~v142(constB77))),
% 26.30/17.68 inference(modus_ponens,[status(thm)],[35124, 35123])).
% 26.30/17.68 tff(35126,plain,
% 26.30/17.68 (~v142(constB77)),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35125, 2985, 35122])).
% 26.30/17.68 tff(35127,assumption,(v18(constB78)), introduced(assumption)).
% 26.30/17.68 tff(35128,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB78))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35129,plain,
% 26.30/17.68 ($false),
% 26.30/17.68 inference(unit_resolution,[status(thm)],[35128, 3012, 35127])).
% 26.30/17.68 tff(35130,plain,(~v18(constB78)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.68 tff(35131,plain,
% 26.30/17.68 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78)))),
% 26.30/17.68 inference(rewrite,[status(thm)],[])).
% 26.30/17.68 tff(35132,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB78) | (~v1(constB78)))),
% 26.30/17.68 inference(quant_inst,[status(thm)],[])).
% 26.30/17.68 tff(35133,plain,
% 26.30/17.68 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB78) | (~v1(constB78))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35132, 35131])).
% 26.30/17.69 tff(35134,plain,
% 26.30/17.69 (v22(constB78)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35133, 3028, 9212])).
% 26.30/17.69 tff(35135,plain,
% 26.30/17.69 (((~![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)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35136,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB78) | (~v22(constB78)) | (~v19(constB78)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35137,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB78) | (~v22(constB78)) | (~v19(constB78))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35136, 35135])).
% 26.30/17.69 tff(35138,plain,
% 26.30/17.69 (v18(constB78) | (~v19(constB78))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35137, 3042, 35134])).
% 26.30/17.69 tff(35139,plain,
% 26.30/17.69 (~v19(constB78)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35138, 35130])).
% 26.30/17.69 tff(35140,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35141,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB78) | v19(constB78))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35142,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB78) | v19(constB78)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35141, 35140])).
% 26.30/17.69 tff(35143,plain,
% 26.30/17.69 (v13(constB78)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35142, 3054, 35139])).
% 26.30/17.69 tff(35144,plain,
% 26.30/17.69 (((~![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)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35145,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35146,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB77) | (~v13(constB78)) | (~nextState(constB77, constB78))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35145, 35144])).
% 26.30/17.69 tff(35147,plain,
% 26.30/17.69 (v9(constB77) | (~v13(constB78))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35146, 3068, 9192])).
% 26.30/17.69 tff(35148,plain,
% 26.30/17.69 (v9(constB77)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35147, 35143])).
% 26.30/17.69 tff(35149,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v141(constB77))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB77) | (~v9(constB77)) | v141(constB77))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35150,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB77) | (~v9(constB77)) | v141(constB77))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35151,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB77) | (~v9(constB77)) | v141(constB77)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35150, 35149])).
% 26.30/17.69 tff(35152,plain,
% 26.30/17.69 ((~v9(constB77)) | v141(constB77)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35151, 3083, 9041])).
% 26.30/17.69 tff(35153,plain,
% 26.30/17.69 (v141(constB77)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35152, 35148])).
% 26.30/17.69 tff(35154,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB77)) | v140(constB77))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB77)) | v140(constB77))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35155,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB77)) | v140(constB77))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35156,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB77)) | v140(constB77)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35155, 35154])).
% 26.30/17.69 tff(35157,plain,
% 26.30/17.69 (v140(constB77)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35156, 24165, 35153])).
% 26.30/17.69 tff(35158,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB77)) | (~v140(constB77)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB77)) | (~v140(constB77)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35159,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB77)) | (~v140(constB77)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35160,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB77)) | (~v140(constB77))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35159, 35158])).
% 26.30/17.69 tff(35161,plain,
% 26.30/17.69 (~v138(constB77)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35160, 24221, 35157])).
% 26.30/17.69 tff(35162,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB77) | v142(constB77) | (~v135(constB77)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB77) | v142(constB77) | (~v135(constB77)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35163,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB77) | v142(constB77) | (~v135(constB77)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35164,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB77) | v142(constB77) | (~v135(constB77))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35163, 35162])).
% 26.30/17.69 tff(35165,plain,
% 26.30/17.69 (v142(constB77) | (~v135(constB77))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35164, 24247, 35161])).
% 26.30/17.69 tff(35166,plain,
% 26.30/17.69 (~v135(constB77)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35165, 35126])).
% 26.30/17.69 tff(35167,plain,
% 26.30/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB77, constB78)) | v135(constB77) | (~v137(constB78)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB77, constB78)) | v135(constB77) | (~v137(constB78)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35168,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB77, constB78)) | v135(constB77) | (~v137(constB78)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35169,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB77, constB78)) | v135(constB77) | (~v137(constB78))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35168, 35167])).
% 26.30/17.69 tff(35170,plain,
% 26.30/17.69 (v135(constB77) | (~v137(constB78))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35169, 24262, 9192])).
% 26.30/17.69 tff(35171,plain,
% 26.30/17.69 (~v137(constB78)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35170, 35166])).
% 26.30/17.69 tff(35172,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB78) | (~v138(constB78)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB78) | (~v138(constB78)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35173,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB78) | (~v138(constB78)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35174,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB78) | (~v138(constB78))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35173, 35172])).
% 26.30/17.69 tff(35175,plain,
% 26.30/17.69 (~v138(constB78)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35174, 24277, 35171])).
% 26.30/17.69 tff(35176,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB78)) | (~v141(constB78)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB78)) | (~v141(constB78)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35177,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB78)) | (~v141(constB78)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35178,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB78)) | (~v141(constB78))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35177, 35176])).
% 26.30/17.69 tff(35179,plain,
% 26.30/17.69 (~v141(constB78)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35178, 24291, 9212])).
% 26.30/17.69 tff(35180,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB78) | (~v144(constB78)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB78) | (~v144(constB78)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35181,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB78) | (~v144(constB78)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35182,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB78) | (~v144(constB78))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35181, 35180])).
% 26.30/17.69 tff(35183,plain,
% 26.30/17.69 (~v144(constB78)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35182, 24305, 35179])).
% 26.30/17.69 tff(35184,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB78) | (~v142(constB78)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB78) | (~v142(constB78)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35185,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB78) | (~v142(constB78)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35186,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB78) | (~v142(constB78))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35185, 35184])).
% 26.30/17.69 tff(35187,plain,
% 26.30/17.69 (~v142(constB78)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35186, 2985, 35183])).
% 26.30/17.69 tff(35188,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB78) | v142(constB78) | (~v135(constB78)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB78) | v142(constB78) | (~v135(constB78)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35189,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB78) | v142(constB78) | (~v135(constB78)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35190,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB78) | v142(constB78) | (~v135(constB78))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35189, 35188])).
% 26.30/17.69 tff(35191,plain,
% 26.30/17.69 (v138(constB78) | (~v135(constB78))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35190, 24247, 35187])).
% 26.30/17.69 tff(35192,plain,
% 26.30/17.69 (~v135(constB78)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35191, 35175])).
% 26.30/17.69 tff(35193,plain,
% 26.30/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB78, constB79)) | v135(constB78) | (~v137(constB79)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB78, constB79)) | v135(constB78) | (~v137(constB79)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35194,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB78, constB79)) | v135(constB78) | (~v137(constB79)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35195,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB78, constB79)) | v135(constB78) | (~v137(constB79))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35194, 35193])).
% 26.30/17.69 tff(35196,plain,
% 26.30/17.69 (v135(constB78) | (~v137(constB79))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35195, 24262, 9254])).
% 26.30/17.69 tff(35197,plain,
% 26.30/17.69 (~v137(constB79)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35196, 35192])).
% 26.30/17.69 tff(35198,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB79) | (~v153(constB79)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB79) | (~v153(constB79)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35199,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB79) | (~v153(constB79)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35200,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB79) | (~v153(constB79))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35199, 35198])).
% 26.30/17.69 tff(35201,plain,
% 26.30/17.69 (~v153(constB79)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35200, 24437, 35197])).
% 26.30/17.69 tff(35202,assumption,(v18(constB80)), introduced(assumption)).
% 26.30/17.69 tff(35203,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB80))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35204,plain,
% 26.30/17.69 ($false),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35203, 3012, 35202])).
% 26.30/17.69 tff(35205,plain,(~v18(constB80)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.69 tff(35206,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35207,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB80) | (~v1(constB80)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35208,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB80) | (~v1(constB80))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35207, 35206])).
% 26.30/17.69 tff(35209,plain,
% 26.30/17.69 (v22(constB80)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35208, 3028, 9405])).
% 26.30/17.69 tff(35210,plain,
% 26.30/17.69 (((~![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)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35211,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB80) | (~v22(constB80)) | (~v19(constB80)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35212,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB80) | (~v22(constB80)) | (~v19(constB80))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35211, 35210])).
% 26.30/17.69 tff(35213,plain,
% 26.30/17.69 (v18(constB80) | (~v19(constB80))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35212, 3042, 35209])).
% 26.30/17.69 tff(35214,plain,
% 26.30/17.69 (~v19(constB80)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35213, 35205])).
% 26.30/17.69 tff(35215,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35216,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB80) | v19(constB80))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35217,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB80) | v19(constB80)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35216, 35215])).
% 26.30/17.69 tff(35218,plain,
% 26.30/17.69 (v13(constB80)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35217, 3054, 35214])).
% 26.30/17.69 tff(35219,plain,
% 26.30/17.69 (((~![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)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35220,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35221,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB79) | (~v13(constB80)) | (~nextState(constB79, constB80))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35220, 35219])).
% 26.30/17.69 tff(35222,plain,
% 26.30/17.69 (v9(constB79) | (~v13(constB80))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35221, 3068, 9385])).
% 26.30/17.69 tff(35223,plain,
% 26.30/17.69 (v9(constB79)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35222, 35218])).
% 26.30/17.69 tff(35224,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v141(constB79))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB79) | (~v9(constB79)) | v141(constB79))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35225,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB79) | (~v9(constB79)) | v141(constB79))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35226,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB79) | (~v9(constB79)) | v141(constB79)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35225, 35224])).
% 26.30/17.69 tff(35227,plain,
% 26.30/17.69 ((~v9(constB79)) | v141(constB79)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35226, 3083, 9251])).
% 26.30/17.69 tff(35228,plain,
% 26.30/17.69 (v141(constB79)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35227, 35223])).
% 26.30/17.69 tff(35229,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB79) | (~v141(constB79)))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB79) | (~v141(constB79)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35230,plain,
% 26.30/17.69 (((~v141(constB79)) | v140(constB79)) <=> (v140(constB79) | (~v141(constB79)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35231,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB79)) | v140(constB79))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (v140(constB79) | (~v141(constB79))))),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35230])).
% 26.30/17.69 tff(35232,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB79)) | v140(constB79))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB79) | (~v141(constB79)))),
% 26.30/17.69 inference(transitivity,[status(thm)],[35231, 35229])).
% 26.30/17.69 tff(35233,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB79)) | v140(constB79))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35234,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | v140(constB79) | (~v141(constB79))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35233, 35232])).
% 26.30/17.69 tff(35235,plain,
% 26.30/17.69 (v140(constB79)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35234, 24165, 35228])).
% 26.30/17.69 tff(35236,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB79)) | (~v155(constB79)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB79)) | (~v155(constB79)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35237,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB79)) | (~v155(constB79)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35238,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB79)) | (~v155(constB79))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35237, 35236])).
% 26.30/17.69 tff(35239,plain,
% 26.30/17.69 (~v155(constB79)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35238, 24482, 35235])).
% 26.30/17.69 tff(35240,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB79) | v155(constB79) | (~v150(constB79)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB79) | v155(constB79) | (~v150(constB79)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35241,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB79) | v155(constB79) | (~v150(constB79)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35242,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB79) | v155(constB79) | (~v150(constB79))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35241, 35240])).
% 26.30/17.69 tff(35243,plain,
% 26.30/17.69 (v153(constB79) | (~v150(constB79))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35242, 24496, 35239])).
% 26.30/17.69 tff(35244,plain,
% 26.30/17.69 (~v150(constB79)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35243, 35201])).
% 26.30/17.69 tff(35245,plain,
% 26.30/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB79, constB80)) | v150(constB79) | (~v152(constB80)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB79, constB80)) | v150(constB79) | (~v152(constB80)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35246,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB79, constB80)) | v150(constB79) | (~v152(constB80)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35247,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB79, constB80)) | v150(constB79) | (~v152(constB80))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35246, 35245])).
% 26.30/17.69 tff(35248,plain,
% 26.30/17.69 (v150(constB79) | (~v152(constB80))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35247, 24511, 9385])).
% 26.30/17.69 tff(35249,plain,
% 26.30/17.69 (~v152(constB80)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35248, 35244])).
% 26.30/17.69 tff(35250,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB80) | (~v155(constB80)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB80) | (~v155(constB80)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35251,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB80) | (~v155(constB80)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35252,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB80) | (~v155(constB80))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35251, 35250])).
% 26.30/17.69 tff(35253,plain,
% 26.30/17.69 (~v155(constB80)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35252, 24526, 35249])).
% 26.30/17.69 tff(35254,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB80)) | (~v141(constB80)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB80)) | (~v141(constB80)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35255,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB80)) | (~v141(constB80)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35256,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB80)) | (~v141(constB80))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35255, 35254])).
% 26.30/17.69 tff(35257,plain,
% 26.30/17.69 (~v141(constB80)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35256, 24291, 9405])).
% 26.30/17.69 tff(35258,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB80) | (~v154(constB80)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB80) | (~v154(constB80)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35259,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB80) | (~v154(constB80)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35260,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB80) | (~v154(constB80))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35259, 35258])).
% 26.30/17.69 tff(35261,plain,
% 26.30/17.69 (~v154(constB80)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35260, 24544, 35257])).
% 26.30/17.69 tff(35262,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB80) | (~v153(constB80)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB80) | (~v153(constB80)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35263,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB80) | (~v153(constB80)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35264,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB80) | (~v153(constB80))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35263, 35262])).
% 26.30/17.69 tff(35265,plain,
% 26.30/17.69 (~v153(constB80)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35264, 24558, 35261])).
% 26.30/17.69 tff(35266,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB80) | v155(constB80) | (~v150(constB80)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB80) | v155(constB80) | (~v150(constB80)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35267,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB80) | v155(constB80) | (~v150(constB80)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35268,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB80) | v155(constB80) | (~v150(constB80))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35267, 35266])).
% 26.30/17.69 tff(35269,plain,
% 26.30/17.69 (v155(constB80) | (~v150(constB80))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35268, 24496, 35265])).
% 26.30/17.69 tff(35270,plain,
% 26.30/17.69 (~v150(constB80)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35269, 35253])).
% 26.30/17.69 tff(35271,plain,
% 26.30/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB80, constB81)) | v150(constB80) | (~v152(constB81)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB80, constB81)) | v150(constB80) | (~v152(constB81)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35272,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB80, constB81)) | v150(constB80) | (~v152(constB81)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35273,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB80, constB81)) | v150(constB80) | (~v152(constB81))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35272, 35271])).
% 26.30/17.69 tff(35274,plain,
% 26.30/17.69 (v150(constB80) | (~v152(constB81))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35273, 24511, 9447])).
% 26.30/17.69 tff(35275,plain,
% 26.30/17.69 (~v152(constB81)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35274, 35270])).
% 26.30/17.69 tff(35276,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB81) | (~v164(constB81)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB81) | (~v164(constB81)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35277,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB81) | (~v164(constB81)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35278,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB81) | (~v164(constB81))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35277, 35276])).
% 26.30/17.69 tff(35279,plain,
% 26.30/17.69 (~v164(constB81)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35278, 24674, 35275])).
% 26.30/17.69 tff(35280,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB81)) | (~v163(constB81)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB81)) | (~v163(constB81)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35281,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB81)) | (~v163(constB81)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35282,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB81)) | (~v163(constB81))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35281, 35280])).
% 26.30/17.69 tff(35283,plain,
% 26.30/17.69 (~v163(constB81)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35282, 24179, 34574])).
% 26.30/17.69 tff(35284,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB81) | v164(constB81) | (~v160(constB81)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB81) | v164(constB81) | (~v160(constB81)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35285,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB81) | v164(constB81) | (~v160(constB81)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35286,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB81) | v164(constB81) | (~v160(constB81))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35285, 35284])).
% 26.30/17.69 tff(35287,plain,
% 26.30/17.69 (v164(constB81) | (~v160(constB81))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35286, 24688, 35283])).
% 26.30/17.69 tff(35288,plain,
% 26.30/17.69 (~v160(constB81)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35287, 35279])).
% 26.30/17.69 tff(35289,plain,
% 26.30/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB81, constB82)) | v160(constB81) | (~v162(constB82)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB81, constB82)) | v160(constB81) | (~v162(constB82)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35290,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB81, constB82)) | v160(constB81) | (~v162(constB82)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35291,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB81, constB82)) | v160(constB81) | (~v162(constB82))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35290, 35289])).
% 26.30/17.69 tff(35292,plain,
% 26.30/17.69 (v160(constB81) | (~v162(constB82))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35291, 24703, 9577])).
% 26.30/17.69 tff(35293,plain,
% 26.30/17.69 (~v162(constB82)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35292, 35288])).
% 26.30/17.69 tff(35294,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB82) | (~v163(constB82)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB82) | (~v163(constB82)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35295,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB82) | (~v163(constB82)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35296,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB82) | (~v163(constB82))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35295, 35294])).
% 26.30/17.69 tff(35297,plain,
% 26.30/17.69 (~v163(constB82)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35296, 24718, 35293])).
% 26.30/17.69 tff(35298,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB82) | (~v154(constB82)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB82) | (~v154(constB82)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35299,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB82) | (~v154(constB82)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35300,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB82) | (~v154(constB82))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35299, 35298])).
% 26.30/17.69 tff(35301,plain,
% 26.30/17.69 (~v154(constB82)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35300, 24544, 34596])).
% 26.30/17.69 tff(35302,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB82) | (~v164(constB82)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB82) | (~v164(constB82)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35303,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB82) | (~v164(constB82)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35304,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB82) | (~v164(constB82))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35303, 35302])).
% 26.30/17.69 tff(35305,plain,
% 26.30/17.69 (~v164(constB82)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35304, 24740, 35301])).
% 26.30/17.69 tff(35306,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB82) | v164(constB82) | (~v160(constB82)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB82) | v164(constB82) | (~v160(constB82)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35307,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB82) | v164(constB82) | (~v160(constB82)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35308,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB82) | v164(constB82) | (~v160(constB82))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35307, 35306])).
% 26.30/17.69 tff(35309,plain,
% 26.30/17.69 (v163(constB82) | (~v160(constB82))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35308, 24688, 35305])).
% 26.30/17.69 tff(35310,plain,
% 26.30/17.69 (~v160(constB82)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35309, 35297])).
% 26.30/17.69 tff(35311,plain,
% 26.30/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB82, constB83)) | v160(constB82) | (~v162(constB83)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB82, constB83)) | v160(constB82) | (~v162(constB83)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35312,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB82, constB83)) | v160(constB82) | (~v162(constB83)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35313,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB82, constB83)) | v160(constB82) | (~v162(constB83))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35312, 35311])).
% 26.30/17.69 tff(35314,plain,
% 26.30/17.69 (v160(constB82) | (~v162(constB83))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35313, 24703, 9639])).
% 26.30/17.69 tff(35315,plain,
% 26.30/17.69 (~v162(constB83)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35314, 35310])).
% 26.30/17.69 tff(35316,plain,
% 26.30/17.69 ($false),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35315, 35108])).
% 26.30/17.69 tff(35317,plain,(~(constB83 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.69 tff(35318,assumption,(constB94 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.69 tff(35319,plain,
% 26.30/17.69 (v1(constB94) <=> v1(sK0_VarCurr)),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35318])).
% 26.30/17.69 tff(35320,plain,
% 26.30/17.69 (v1(sK0_VarCurr) <=> v1(constB94)),
% 26.30/17.69 inference(symmetry,[status(thm)],[35319])).
% 26.30/17.69 tff(35321,plain,
% 26.30/17.69 ((~v1(sK0_VarCurr)) <=> (~v1(constB94))),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35320])).
% 26.30/17.69 tff(35322,plain,
% 26.30/17.69 (~v1(constB94)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[25472, 35321])).
% 26.30/17.69 tff(35323,plain,
% 26.30/17.69 ($false),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[10868, 35322])).
% 26.30/17.69 tff(35324,plain,(~(constB94 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.69 tff(35325,assumption,(constB32 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.69 tff(35326,plain,
% 26.30/17.69 (v1(constB32) <=> v1(sK0_VarCurr)),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35325])).
% 26.30/17.69 tff(35327,plain,
% 26.30/17.69 (v1(sK0_VarCurr) <=> v1(constB32)),
% 26.30/17.69 inference(symmetry,[status(thm)],[35326])).
% 26.30/17.69 tff(35328,plain,
% 26.30/17.69 ((~v1(sK0_VarCurr)) <=> (~v1(constB32))),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35327])).
% 26.30/17.69 tff(35329,plain,
% 26.30/17.69 (~v1(constB32)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[25472, 35328])).
% 26.30/17.69 tff(35330,plain,
% 26.30/17.69 ($false),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[4178, 35329])).
% 26.30/17.69 tff(35331,plain,(~(constB32 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.69 tff(35332,assumption,(constB86 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.69 tff(35333,plain,
% 26.30/17.69 (v1(constB86) <=> v1(sK0_VarCurr)),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35332])).
% 26.30/17.69 tff(35334,plain,
% 26.30/17.69 (v1(sK0_VarCurr) <=> v1(constB86)),
% 26.30/17.69 inference(symmetry,[status(thm)],[35333])).
% 26.30/17.69 tff(35335,plain,
% 26.30/17.69 ((~v1(sK0_VarCurr)) <=> (~v1(constB86))),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35334])).
% 26.30/17.69 tff(35336,plain,
% 26.30/17.69 (~v1(constB86)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[25472, 35335])).
% 26.30/17.69 tff(35337,plain,
% 26.30/17.69 ($false),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[9954, 35336])).
% 26.30/17.69 tff(35338,plain,(~(constB86 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.69 tff(35339,assumption,(constB52 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.69 tff(35340,plain,
% 26.30/17.69 (v1(constB52) <=> v1(sK0_VarCurr)),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35339])).
% 26.30/17.69 tff(35341,plain,
% 26.30/17.69 (v1(sK0_VarCurr) <=> v1(constB52)),
% 26.30/17.69 inference(symmetry,[status(thm)],[35340])).
% 26.30/17.69 tff(35342,plain,
% 26.30/17.69 ((~v1(sK0_VarCurr)) <=> (~v1(constB52))),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35341])).
% 26.30/17.69 tff(35343,plain,
% 26.30/17.69 (~v1(constB52)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[25472, 35342])).
% 26.30/17.69 tff(35344,plain,
% 26.30/17.69 ($false),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[6438, 35343])).
% 26.30/17.69 tff(35345,plain,(~(constB52 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.69 tff(35346,assumption,(constB34 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.69 tff(35347,plain,
% 26.30/17.69 (v1(constB34) <=> v1(sK0_VarCurr)),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35346])).
% 26.30/17.69 tff(35348,plain,
% 26.30/17.69 (v1(sK0_VarCurr) <=> v1(constB34)),
% 26.30/17.69 inference(symmetry,[status(thm)],[35347])).
% 26.30/17.69 tff(35349,plain,
% 26.30/17.69 ((~v1(sK0_VarCurr)) <=> (~v1(constB34))),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35348])).
% 26.30/17.69 tff(35350,plain,
% 26.30/17.69 (~v1(constB34)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[25472, 35349])).
% 26.30/17.69 tff(35351,plain,
% 26.30/17.69 ($false),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[4370, 35350])).
% 26.30/17.69 tff(35352,plain,(~(constB34 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.69 tff(35353,assumption,(constB77 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.69 tff(35354,plain,
% 26.30/17.69 (v162(constB77) <=> v162(sK0_VarCurr)),
% 26.30/17.69 inference(monotonicity,[status(thm)],[35353])).
% 26.30/17.69 tff(35355,plain,
% 26.30/17.69 (v162(sK0_VarCurr) <=> v162(constB77)),
% 26.30/17.69 inference(symmetry,[status(thm)],[35354])).
% 26.30/17.69 tff(35356,plain,
% 26.30/17.69 (v162(constB77)),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[24130, 35355])).
% 26.30/17.69 tff(35357,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB71)) | (~v84(constB71, bitIndex2)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB71)) | (~v84(constB71, bitIndex2)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35358,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v145(constB71)) | (~v84(constB71, bitIndex2)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35359,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v145(constB71)) | (~v84(constB71, bitIndex2))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35358, 35357])).
% 26.30/17.69 tff(35360,plain,
% 26.30/17.69 (~v145(constB71)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35359, 16179, 8324])).
% 26.30/17.69 tff(35361,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB71) | (~v144(constB71)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB71) | (~v144(constB71)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35362,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB71) | (~v144(constB71)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35363,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB71) | (~v144(constB71))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35362, 35361])).
% 26.30/17.69 tff(35364,plain,
% 26.30/17.69 (~v144(constB71)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35363, 2971, 35360])).
% 26.30/17.69 tff(35365,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB71) | (~v142(constB71)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB71) | (~v142(constB71)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35366,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB71) | (~v142(constB71)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35367,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB71) | (~v142(constB71))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35366, 35365])).
% 26.30/17.69 tff(35368,plain,
% 26.30/17.69 (~v142(constB71)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35367, 2985, 35364])).
% 26.30/17.69 tff(35369,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB71)) | (~v140(constB71)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB71)) | (~v140(constB71)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35370,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB71)) | (~v140(constB71)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35371,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB71)) | (~v140(constB71))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35370, 35369])).
% 26.30/17.69 tff(35372,plain,
% 26.30/17.69 (~v138(constB71)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35371, 24221, 31919])).
% 26.30/17.69 tff(35373,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB71) | v142(constB71) | (~v135(constB71)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB71) | v142(constB71) | (~v135(constB71)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35374,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB71) | v142(constB71) | (~v135(constB71)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35375,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB71) | v142(constB71) | (~v135(constB71))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35374, 35373])).
% 26.30/17.69 tff(35376,plain,
% 26.30/17.69 (v142(constB71) | (~v135(constB71))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35375, 24247, 35372])).
% 26.30/17.69 tff(35377,plain,
% 26.30/17.69 (~v135(constB71)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35376, 35368])).
% 26.30/17.69 tff(35378,plain,
% 26.30/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35379,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35380,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB71, constB72)) | v135(constB71) | (~v137(constB72))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35379, 35378])).
% 26.30/17.69 tff(35381,plain,
% 26.30/17.69 (v135(constB71) | (~v137(constB72))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35380, 24262, 8442])).
% 26.30/17.69 tff(35382,plain,
% 26.30/17.69 (~v137(constB72)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35381, 35377])).
% 26.30/17.69 tff(35383,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB72) | (~v138(constB72)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB72) | (~v138(constB72)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35384,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB72) | (~v138(constB72)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35385,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB72) | (~v138(constB72))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35384, 35383])).
% 26.30/17.69 tff(35386,plain,
% 26.30/17.69 (~v138(constB72)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35385, 24277, 35382])).
% 26.30/17.69 tff(35387,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB72) | (~v144(constB72)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB72) | (~v144(constB72)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35388,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB72) | (~v144(constB72)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35389,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB72) | (~v144(constB72))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35388, 35387])).
% 26.30/17.69 tff(35390,plain,
% 26.30/17.69 (~v144(constB72)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35389, 24305, 31941])).
% 26.30/17.69 tff(35391,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB72) | (~v142(constB72)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB72) | (~v142(constB72)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35392,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB72) | (~v142(constB72)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35393,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB72) | (~v142(constB72))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35392, 35391])).
% 26.30/17.69 tff(35394,plain,
% 26.30/17.69 (~v142(constB72)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35393, 2985, 35390])).
% 26.30/17.69 tff(35395,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB72) | v142(constB72) | (~v135(constB72)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB72) | v142(constB72) | (~v135(constB72)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35396,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB72) | v142(constB72) | (~v135(constB72)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35397,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB72) | v142(constB72) | (~v135(constB72))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35396, 35395])).
% 26.30/17.69 tff(35398,plain,
% 26.30/17.69 (v138(constB72) | (~v135(constB72))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35397, 24247, 35394])).
% 26.30/17.69 tff(35399,plain,
% 26.30/17.69 (~v135(constB72)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35398, 35386])).
% 26.30/17.69 tff(35400,plain,
% 26.30/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35401,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35402,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB72, constB73)) | v135(constB72) | (~v137(constB73))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35401, 35400])).
% 26.30/17.69 tff(35403,plain,
% 26.30/17.69 (v135(constB72) | (~v137(constB73))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35402, 24262, 8504])).
% 26.30/17.69 tff(35404,plain,
% 26.30/17.69 (~v137(constB73)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35403, 35399])).
% 26.30/17.69 tff(35405,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB73) | (~v153(constB73)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB73) | (~v153(constB73)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35406,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB73) | (~v153(constB73)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35407,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB73) | (~v153(constB73))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35406, 35405])).
% 26.30/17.69 tff(35408,plain,
% 26.30/17.69 (~v153(constB73)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35407, 24437, 35404])).
% 26.30/17.69 tff(35409,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB73)) | (~v155(constB73)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB73)) | (~v155(constB73)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35410,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB73)) | (~v155(constB73)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35411,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB73)) | (~v155(constB73))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35410, 35409])).
% 26.30/17.69 tff(35412,plain,
% 26.30/17.69 (~v155(constB73)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35411, 24482, 34248])).
% 26.30/17.69 tff(35413,plain,
% 26.30/17.69 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB73) | v155(constB73) | (~v150(constB73)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB73) | v155(constB73) | (~v150(constB73)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35414,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB73) | v155(constB73) | (~v150(constB73)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35415,plain,
% 26.30/17.69 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB73) | v155(constB73) | (~v150(constB73))),
% 26.30/17.69 inference(modus_ponens,[status(thm)],[35414, 35413])).
% 26.30/17.69 tff(35416,plain,
% 26.30/17.69 (v153(constB73) | (~v150(constB73))),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35415, 24496, 35412])).
% 26.30/17.69 tff(35417,plain,
% 26.30/17.69 (~v150(constB73)),
% 26.30/17.69 inference(unit_resolution,[status(thm)],[35416, 35408])).
% 26.30/17.69 tff(35418,plain,
% 26.30/17.69 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74)))),
% 26.30/17.69 inference(rewrite,[status(thm)],[])).
% 26.30/17.69 tff(35419,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74)))),
% 26.30/17.69 inference(quant_inst,[status(thm)],[])).
% 26.30/17.69 tff(35420,plain,
% 26.30/17.69 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB73, constB74)) | v150(constB73) | (~v152(constB74))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35419, 35418])).
% 26.30/17.70 tff(35421,plain,
% 26.30/17.70 (v150(constB73) | (~v152(constB74))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35420, 24511, 8675])).
% 26.30/17.70 tff(35422,plain,
% 26.30/17.70 (~v152(constB74)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35421, 35417])).
% 26.30/17.70 tff(35423,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB74) | (~v155(constB74)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB74) | (~v155(constB74)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35424,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB74) | (~v155(constB74)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35425,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB74) | (~v155(constB74))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35424, 35423])).
% 26.30/17.70 tff(35426,plain,
% 26.30/17.70 (~v155(constB74)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35425, 24526, 35422])).
% 26.30/17.70 tff(35427,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB74) | (~v153(constB74)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB74) | (~v153(constB74)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35428,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB74) | (~v153(constB74)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35429,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB74) | (~v153(constB74))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35428, 35427])).
% 26.30/17.70 tff(35430,plain,
% 26.30/17.70 (~v153(constB74)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35429, 24558, 34274])).
% 26.30/17.70 tff(35431,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB74) | v155(constB74) | (~v150(constB74)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB74) | v155(constB74) | (~v150(constB74)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35432,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB74) | v155(constB74) | (~v150(constB74)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35433,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB74) | v155(constB74) | (~v150(constB74))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35432, 35431])).
% 26.30/17.70 tff(35434,plain,
% 26.30/17.70 (v155(constB74) | (~v150(constB74))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35433, 24496, 35430])).
% 26.30/17.70 tff(35435,plain,
% 26.30/17.70 (~v150(constB74)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35434, 35426])).
% 26.30/17.70 tff(35436,plain,
% 26.30/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35437,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35438,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB74, constB75)) | v150(constB74) | (~v152(constB75))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35437, 35436])).
% 26.30/17.70 tff(35439,plain,
% 26.30/17.70 (v150(constB74) | (~v152(constB75))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35438, 24511, 8740])).
% 26.30/17.70 tff(35440,plain,
% 26.30/17.70 (~v152(constB75)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35439, 35435])).
% 26.30/17.70 tff(35441,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB75) | (~v164(constB75)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB75) | (~v164(constB75)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35442,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB75) | (~v164(constB75)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35443,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB75) | (~v164(constB75))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35442, 35441])).
% 26.30/17.70 tff(35444,plain,
% 26.30/17.70 (~v164(constB75)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35443, 24674, 35440])).
% 26.30/17.70 tff(35445,assumption,(v18(constB76)), introduced(assumption)).
% 26.30/17.70 tff(35446,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB76))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35447,plain,
% 26.30/17.70 ($false),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35446, 3012, 35445])).
% 26.30/17.70 tff(35448,plain,(~v18(constB76)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.70 tff(35449,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35450,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB76) | (~v1(constB76)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35451,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB76) | (~v1(constB76))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35450, 35449])).
% 26.30/17.70 tff(35452,plain,
% 26.30/17.70 (v22(constB76)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35451, 3028, 8996])).
% 26.30/17.70 tff(35453,plain,
% 26.30/17.70 (((~![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)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35454,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB76) | (~v22(constB76)) | (~v19(constB76)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35455,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB76) | (~v22(constB76)) | (~v19(constB76))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35454, 35453])).
% 26.30/17.70 tff(35456,plain,
% 26.30/17.70 (v18(constB76) | (~v19(constB76))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35455, 3042, 35452])).
% 26.30/17.70 tff(35457,plain,
% 26.30/17.70 (~v19(constB76)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35456, 35448])).
% 26.30/17.70 tff(35458,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35459,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB76) | v19(constB76))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35460,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB76) | v19(constB76)),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35459, 35458])).
% 26.30/17.70 tff(35461,plain,
% 26.30/17.70 (v13(constB76)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35460, 3054, 35457])).
% 26.30/17.70 tff(35462,plain,
% 26.30/17.70 (((~![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)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35463,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35464,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB75) | (~v13(constB76)) | (~nextState(constB75, constB76))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35463, 35462])).
% 26.30/17.70 tff(35465,plain,
% 26.30/17.70 (v9(constB75) | (~v13(constB76))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35464, 3068, 8838])).
% 26.30/17.70 tff(35466,plain,
% 26.30/17.70 (v9(constB75)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35465, 35461])).
% 26.30/17.70 tff(35467,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v141(constB75))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB75) | (~v9(constB75)) | v141(constB75))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35468,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB75) | (~v9(constB75)) | v141(constB75))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35469,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB75) | (~v9(constB75)) | v141(constB75)),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35468, 35467])).
% 26.30/17.70 tff(35470,plain,
% 26.30/17.70 ((~v9(constB75)) | v141(constB75)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35469, 3083, 8737])).
% 26.30/17.70 tff(35471,plain,
% 26.30/17.70 (v141(constB75)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35470, 35466])).
% 26.30/17.70 tff(35472,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB75)) | v140(constB75))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB75)) | v140(constB75))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35473,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB75)) | v140(constB75))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35474,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB75)) | v140(constB75)),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35473, 35472])).
% 26.30/17.70 tff(35475,plain,
% 26.30/17.70 (v140(constB75)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35474, 24165, 35471])).
% 26.30/17.70 tff(35476,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB75)) | (~v163(constB75)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB75)) | (~v163(constB75)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35477,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB75)) | (~v163(constB75)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35478,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB75)) | (~v163(constB75))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35477, 35476])).
% 26.30/17.70 tff(35479,plain,
% 26.30/17.70 (~v163(constB75)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35478, 24179, 35475])).
% 26.30/17.70 tff(35480,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB75) | v164(constB75) | (~v160(constB75)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB75) | v164(constB75) | (~v160(constB75)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35481,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB75) | v164(constB75) | (~v160(constB75)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35482,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB75) | v164(constB75) | (~v160(constB75))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35481, 35480])).
% 26.30/17.70 tff(35483,plain,
% 26.30/17.70 (v164(constB75) | (~v160(constB75))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35482, 24688, 35479])).
% 26.30/17.70 tff(35484,plain,
% 26.30/17.70 (~v160(constB75)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35483, 35444])).
% 26.30/17.70 tff(35485,plain,
% 26.30/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35486,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35487,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB75, constB76)) | v160(constB75) | (~v162(constB76))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35486, 35485])).
% 26.30/17.70 tff(35488,plain,
% 26.30/17.70 (v160(constB75) | (~v162(constB76))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35487, 24703, 8838])).
% 26.30/17.70 tff(35489,plain,
% 26.30/17.70 (~v162(constB76)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35488, 35484])).
% 26.30/17.70 tff(35490,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB76) | (~v163(constB76)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB76) | (~v163(constB76)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35491,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB76) | (~v163(constB76)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35492,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB76) | (~v163(constB76))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35491, 35490])).
% 26.30/17.70 tff(35493,plain,
% 26.30/17.70 (~v163(constB76)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35492, 24718, 35489])).
% 26.30/17.70 tff(35494,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB76)) | (~v141(constB76)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB76)) | (~v141(constB76)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35495,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB76)) | (~v141(constB76)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35496,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB76)) | (~v141(constB76))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35495, 35494])).
% 26.30/17.70 tff(35497,plain,
% 26.30/17.70 (~v141(constB76)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35496, 24291, 8996])).
% 26.30/17.70 tff(35498,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB76) | (~v154(constB76)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB76) | (~v154(constB76)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35499,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB76) | (~v154(constB76)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35500,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB76) | (~v154(constB76))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35499, 35498])).
% 26.30/17.70 tff(35501,plain,
% 26.30/17.70 (~v154(constB76)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35500, 24544, 35497])).
% 26.30/17.70 tff(35502,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB76) | (~v164(constB76)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB76) | (~v164(constB76)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35503,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB76) | (~v164(constB76)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35504,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB76) | (~v164(constB76))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35503, 35502])).
% 26.30/17.70 tff(35505,plain,
% 26.30/17.70 (~v164(constB76)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35504, 24740, 35501])).
% 26.30/17.70 tff(35506,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB76) | v164(constB76) | (~v160(constB76)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB76) | v164(constB76) | (~v160(constB76)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35507,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB76) | v164(constB76) | (~v160(constB76)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35508,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB76) | v164(constB76) | (~v160(constB76))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35507, 35506])).
% 26.30/17.70 tff(35509,plain,
% 26.30/17.70 (v163(constB76) | (~v160(constB76))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35508, 24688, 35505])).
% 26.30/17.70 tff(35510,plain,
% 26.30/17.70 (~v160(constB76)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35509, 35493])).
% 26.30/17.70 tff(35511,plain,
% 26.30/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35512,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35513,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB76, constB77)) | v160(constB76) | (~v162(constB77))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35512, 35511])).
% 26.30/17.70 tff(35514,plain,
% 26.30/17.70 (v160(constB76) | (~v162(constB77))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35513, 24703, 9044])).
% 26.30/17.70 tff(35515,plain,
% 26.30/17.70 (~v162(constB77)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35514, 35510])).
% 26.30/17.70 tff(35516,plain,
% 26.30/17.70 ($false),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35515, 35356])).
% 26.30/17.70 tff(35517,plain,(~(constB77 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.70 tff(35518,assumption,(constB168 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.70 tff(35519,plain,
% 26.30/17.70 (v1(constB168) <=> v1(sK0_VarCurr)),
% 26.30/17.70 inference(monotonicity,[status(thm)],[35518])).
% 26.30/17.70 tff(35520,plain,
% 26.30/17.70 (v1(sK0_VarCurr) <=> v1(constB168)),
% 26.30/17.70 inference(symmetry,[status(thm)],[35519])).
% 26.30/17.70 tff(35521,plain,
% 26.30/17.70 ((~v1(sK0_VarCurr)) <=> (~v1(constB168))),
% 26.30/17.70 inference(monotonicity,[status(thm)],[35520])).
% 26.30/17.70 tff(35522,plain,
% 26.30/17.70 (~v1(constB168)),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[25472, 35521])).
% 26.30/17.70 tff(35523,plain,
% 26.30/17.70 ($false),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[20188, 35522])).
% 26.30/17.70 tff(35524,plain,(~(constB168 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.70 tff(35525,assumption,(constB59 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.70 tff(35526,plain,
% 26.30/17.70 (v162(constB59) <=> v162(sK0_VarCurr)),
% 26.30/17.70 inference(monotonicity,[status(thm)],[35525])).
% 26.30/17.70 tff(35527,plain,
% 26.30/17.70 (v162(sK0_VarCurr) <=> v162(constB59)),
% 26.30/17.70 inference(symmetry,[status(thm)],[35526])).
% 26.30/17.70 tff(35528,plain,
% 26.30/17.70 (v162(constB59)),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[24130, 35527])).
% 26.30/17.70 tff(35529,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB53)) | (~v84(constB53, bitIndex1)))) <=> ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB53)) | (~v84(constB53, bitIndex1)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35530,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v145(constB53)) | (~v84(constB53, bitIndex1)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35531,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v145(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v145(constB53)) | (~v84(constB53, bitIndex1))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35530, 35529])).
% 26.30/17.70 tff(35532,plain,
% 26.30/17.70 (~v145(constB53)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35531, 2018, 6532])).
% 26.30/17.70 tff(35533,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB53) | (~v144(constB53)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB53) | (~v144(constB53)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35534,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB53) | (~v144(constB53)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35535,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB53) | (~v144(constB53))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35534, 35533])).
% 26.30/17.70 tff(35536,plain,
% 26.30/17.70 (~v144(constB53)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35535, 2971, 35532])).
% 26.30/17.70 tff(35537,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB53) | (~v142(constB53)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB53) | (~v142(constB53)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35538,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB53) | (~v142(constB53)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35539,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB53) | (~v142(constB53))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35538, 35537])).
% 26.30/17.70 tff(35540,plain,
% 26.30/17.70 (~v142(constB53)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35539, 2985, 35536])).
% 26.30/17.70 tff(35541,assumption,(v18(constB54)), introduced(assumption)).
% 26.30/17.70 tff(35542,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (~v18(VarCurr))) | (~v18(constB54))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35543,plain,
% 26.30/17.70 ($false),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35542, 3012, 35541])).
% 26.30/17.70 tff(35544,plain,(~v18(constB54)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.70 tff(35545,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))) <=> ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35546,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB54) | (~v1(constB54)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35547,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB54) | (~v1(constB54))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35546, 35545])).
% 26.30/17.70 tff(35548,plain,
% 26.30/17.70 (v22(constB54)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35547, 3028, 6641])).
% 26.30/17.70 tff(35549,plain,
% 26.30/17.70 (((~![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)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35550,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | (v18(constB54) | (~v22(constB54)) | (~v19(constB54)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35551,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v18(VarCurr) | (~v22(VarCurr)) | (~v19(VarCurr)))) | v18(constB54) | (~v22(constB54)) | (~v19(constB54))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35550, 35549])).
% 26.30/17.70 tff(35552,plain,
% 26.30/17.70 (v18(constB54) | (~v19(constB54))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35551, 3042, 35548])).
% 26.30/17.70 tff(35553,plain,
% 26.30/17.70 (~v19(constB54)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35552, 35544])).
% 26.30/17.70 tff(35554,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))) <=> ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35555,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB54) | v19(constB54))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35556,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v13(VarCurr) | v19(VarCurr))) | v13(constB54) | v19(constB54)),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35555, 35554])).
% 26.30/17.70 tff(35557,plain,
% 26.30/17.70 (v13(constB54)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35556, 3054, 35553])).
% 26.30/17.70 tff(35558,plain,
% 26.30/17.70 (((~![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)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35559,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | (v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35560,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : (v9(VarCurr) | (~v13(VarNext)) | (~nextState(VarCurr, VarNext)))) | v9(constB53) | (~v13(constB54)) | (~nextState(constB53, constB54))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35559, 35558])).
% 26.30/17.70 tff(35561,plain,
% 26.30/17.70 (v9(constB53) | (~v13(constB54))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35560, 3068, 6621])).
% 26.30/17.70 tff(35562,plain,
% 26.30/17.70 (v9(constB53)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35561, 35557])).
% 26.30/17.70 tff(35563,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v141(constB53))) <=> ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB53) | (~v9(constB53)) | v141(constB53))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35564,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB53) | (~v9(constB53)) | v141(constB53))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35565,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB53) | (~v9(constB53)) | v141(constB53)),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35564, 35563])).
% 26.30/17.70 tff(35566,plain,
% 26.30/17.70 ((~v9(constB53)) | v141(constB53)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35565, 3083, 6477])).
% 26.30/17.70 tff(35567,plain,
% 26.30/17.70 (v141(constB53)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35566, 35562])).
% 26.30/17.70 tff(35568,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB53)) | v140(constB53))) <=> ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB53)) | v140(constB53))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35569,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | ((~v141(constB53)) | v140(constB53))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35570,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v141(VarCurr)) | v140(VarCurr))) | (~v141(constB53)) | v140(constB53)),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35569, 35568])).
% 26.30/17.70 tff(35571,plain,
% 26.30/17.70 (v140(constB53)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35570, 24165, 35567])).
% 26.30/17.70 tff(35572,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB53)) | (~v140(constB53)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB53)) | (~v140(constB53)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35573,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB53)) | (~v140(constB53)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35574,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB53)) | (~v140(constB53))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35573, 35572])).
% 26.30/17.70 tff(35575,plain,
% 26.30/17.70 (~v138(constB53)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35574, 24221, 35571])).
% 26.30/17.70 tff(35576,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB53) | v142(constB53) | (~v135(constB53)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB53) | v142(constB53) | (~v135(constB53)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35577,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB53) | v142(constB53) | (~v135(constB53)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35578,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB53) | v142(constB53) | (~v135(constB53))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35577, 35576])).
% 26.30/17.70 tff(35579,plain,
% 26.30/17.70 (v142(constB53) | (~v135(constB53))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35578, 24247, 35575])).
% 26.30/17.70 tff(35580,plain,
% 26.30/17.70 (~v135(constB53)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35579, 35540])).
% 26.30/17.70 tff(35581,plain,
% 26.30/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35582,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35583,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB53, constB54)) | v135(constB53) | (~v137(constB54))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35582, 35581])).
% 26.30/17.70 tff(35584,plain,
% 26.30/17.70 (v135(constB53) | (~v137(constB54))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35583, 24262, 6621])).
% 26.30/17.70 tff(35585,plain,
% 26.30/17.70 (~v137(constB54)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35584, 35580])).
% 26.30/17.70 tff(35586,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB54) | (~v138(constB54)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB54) | (~v138(constB54)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35587,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB54) | (~v138(constB54)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35588,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB54) | (~v138(constB54))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35587, 35586])).
% 26.30/17.70 tff(35589,plain,
% 26.30/17.70 (~v138(constB54)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35588, 24277, 35585])).
% 26.30/17.70 tff(35590,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB54)) | (~v141(constB54)))) <=> ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB54)) | (~v141(constB54)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35591,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB54)) | (~v141(constB54)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35592,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB54)) | (~v141(constB54))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35591, 35590])).
% 26.30/17.70 tff(35593,plain,
% 26.30/17.70 (~v141(constB54)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35592, 24291, 6641])).
% 26.30/17.70 tff(35594,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB54) | (~v144(constB54)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB54) | (~v144(constB54)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35595,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB54) | (~v144(constB54)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35596,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB54) | (~v144(constB54))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35595, 35594])).
% 26.30/17.70 tff(35597,plain,
% 26.30/17.70 (~v144(constB54)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35596, 24305, 35593])).
% 26.30/17.70 tff(35598,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB54) | (~v142(constB54)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB54) | (~v142(constB54)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35599,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB54) | (~v142(constB54)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35600,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB54) | (~v142(constB54))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35599, 35598])).
% 26.30/17.70 tff(35601,plain,
% 26.30/17.70 (~v142(constB54)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35600, 2985, 35597])).
% 26.30/17.70 tff(35602,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB54) | v142(constB54) | (~v135(constB54)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB54) | v142(constB54) | (~v135(constB54)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35603,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB54) | v142(constB54) | (~v135(constB54)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35604,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB54) | v142(constB54) | (~v135(constB54))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35603, 35602])).
% 26.30/17.70 tff(35605,plain,
% 26.30/17.70 (v138(constB54) | (~v135(constB54))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35604, 24247, 35601])).
% 26.30/17.70 tff(35606,plain,
% 26.30/17.70 (~v135(constB54)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35605, 35589])).
% 26.30/17.70 tff(35607,plain,
% 26.30/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35608,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35609,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB54, constB55)) | v135(constB54) | (~v137(constB55))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35608, 35607])).
% 26.30/17.70 tff(35610,plain,
% 26.30/17.70 (v135(constB54) | (~v137(constB55))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35609, 24262, 6683])).
% 26.30/17.70 tff(35611,plain,
% 26.30/17.70 (~v137(constB55)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35610, 35606])).
% 26.30/17.70 tff(35612,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB55) | (~v153(constB55)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB55) | (~v153(constB55)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35613,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB55) | (~v153(constB55)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35614,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB55) | (~v153(constB55))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35613, 35612])).
% 26.30/17.70 tff(35615,plain,
% 26.30/17.70 (~v153(constB55)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35614, 24437, 35611])).
% 26.30/17.70 tff(35616,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB55)) | (~v155(constB55)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB55)) | (~v155(constB55)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35617,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB55)) | (~v155(constB55)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35618,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB55)) | (~v155(constB55))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35617, 35616])).
% 26.30/17.70 tff(35619,plain,
% 26.30/17.70 (~v155(constB55)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35618, 24482, 29627])).
% 26.30/17.70 tff(35620,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB55) | v155(constB55) | (~v150(constB55)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB55) | v155(constB55) | (~v150(constB55)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35621,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB55) | v155(constB55) | (~v150(constB55)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35622,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB55) | v155(constB55) | (~v150(constB55))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35621, 35620])).
% 26.30/17.70 tff(35623,plain,
% 26.30/17.70 (v153(constB55) | (~v150(constB55))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35622, 24496, 35619])).
% 26.30/17.70 tff(35624,plain,
% 26.30/17.70 (~v150(constB55)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35623, 35615])).
% 26.30/17.70 tff(35625,plain,
% 26.30/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35626,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35627,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB55, constB56)) | v150(constB55) | (~v152(constB56))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35626, 35625])).
% 26.30/17.70 tff(35628,plain,
% 26.30/17.70 (v150(constB55) | (~v152(constB56))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35627, 24511, 6856])).
% 26.30/17.70 tff(35629,plain,
% 26.30/17.70 (~v152(constB56)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35628, 35624])).
% 26.30/17.70 tff(35630,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB56) | (~v155(constB56)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB56) | (~v155(constB56)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35631,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB56) | (~v155(constB56)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35632,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB56) | (~v155(constB56))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35631, 35630])).
% 26.30/17.70 tff(35633,plain,
% 26.30/17.70 (~v155(constB56)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35632, 24526, 35629])).
% 26.30/17.70 tff(35634,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB56) | (~v154(constB56)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB56) | (~v154(constB56)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35635,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | (v141(constB56) | (~v154(constB56)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35636,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v154(VarCurr)))) | v141(constB56) | (~v154(constB56))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35635, 35634])).
% 26.30/17.70 tff(35637,plain,
% 26.30/17.70 (~v154(constB56)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35636, 24544, 29649])).
% 26.30/17.70 tff(35638,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB56) | (~v153(constB56)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB56) | (~v153(constB56)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35639,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB56) | (~v153(constB56)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35640,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB56) | (~v153(constB56))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35639, 35638])).
% 26.30/17.70 tff(35641,plain,
% 26.30/17.70 (~v153(constB56)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35640, 24558, 35637])).
% 26.30/17.70 tff(35642,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB56) | v155(constB56) | (~v150(constB56)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB56) | v155(constB56) | (~v150(constB56)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35643,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB56) | v155(constB56) | (~v150(constB56)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35644,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB56) | v155(constB56) | (~v150(constB56))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35643, 35642])).
% 26.30/17.70 tff(35645,plain,
% 26.30/17.70 (v155(constB56) | (~v150(constB56))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35644, 24496, 35641])).
% 26.30/17.70 tff(35646,plain,
% 26.30/17.70 (~v150(constB56)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35645, 35633])).
% 26.30/17.70 tff(35647,plain,
% 26.30/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35648,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35649,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB56, constB57)) | v150(constB56) | (~v152(constB57))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35648, 35647])).
% 26.30/17.70 tff(35650,plain,
% 26.30/17.70 (v150(constB56) | (~v152(constB57))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35649, 24511, 6918])).
% 26.30/17.70 tff(35651,plain,
% 26.30/17.70 (~v152(constB57)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35650, 35646])).
% 26.30/17.70 tff(35652,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB57) | (~v164(constB57)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB57) | (~v164(constB57)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35653,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB57) | (~v164(constB57)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35654,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB57) | (~v164(constB57))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35653, 35652])).
% 26.30/17.70 tff(35655,plain,
% 26.30/17.70 (~v164(constB57)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35654, 24674, 35651])).
% 26.30/17.70 tff(35656,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB57)) | (~v163(constB57)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB57)) | (~v163(constB57)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35657,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB57)) | (~v163(constB57)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35658,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB57)) | (~v163(constB57))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35657, 35656])).
% 26.30/17.70 tff(35659,plain,
% 26.30/17.70 (~v163(constB57)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35658, 24179, 27357])).
% 26.30/17.70 tff(35660,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB57) | v164(constB57) | (~v160(constB57)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB57) | v164(constB57) | (~v160(constB57)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35661,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB57) | v164(constB57) | (~v160(constB57)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35662,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB57) | v164(constB57) | (~v160(constB57))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35661, 35660])).
% 26.30/17.70 tff(35663,plain,
% 26.30/17.70 (v164(constB57) | (~v160(constB57))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35662, 24688, 35659])).
% 26.30/17.70 tff(35664,plain,
% 26.30/17.70 (~v160(constB57)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35663, 35655])).
% 26.30/17.70 tff(35665,plain,
% 26.30/17.70 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35666,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35667,plain,
% 26.30/17.70 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB57, constB58)) | v160(constB57) | (~v162(constB58))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35666, 35665])).
% 26.30/17.70 tff(35668,plain,
% 26.30/17.70 (v160(constB57) | (~v162(constB58))),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35667, 24703, 7045])).
% 26.30/17.70 tff(35669,plain,
% 26.30/17.70 (~v162(constB58)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35668, 35664])).
% 26.30/17.70 tff(35670,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB58) | (~v163(constB58)))) <=> ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB58) | (~v163(constB58)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35671,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB58) | (~v163(constB58)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35672,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB58) | (~v163(constB58))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35671, 35670])).
% 26.30/17.70 tff(35673,plain,
% 26.30/17.70 (~v163(constB58)),
% 26.30/17.70 inference(unit_resolution,[status(thm)],[35672, 24718, 35669])).
% 26.30/17.70 tff(35674,plain,
% 26.30/17.70 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB58) | (~v164(constB58)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB58) | (~v164(constB58)))),
% 26.30/17.70 inference(rewrite,[status(thm)],[])).
% 26.30/17.70 tff(35675,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | (v154(constB58) | (~v164(constB58)))),
% 26.30/17.70 inference(quant_inst,[status(thm)],[])).
% 26.30/17.70 tff(35676,plain,
% 26.30/17.70 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v164(VarCurr)))) | v154(constB58) | (~v164(constB58))),
% 26.30/17.70 inference(modus_ponens,[status(thm)],[35675, 35674])).
% 26.30/17.70 tff(35677,plain,
% 26.30/17.70 (~v164(constB58)),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35676, 24740, 29693])).
% 26.30/17.71 tff(35678,plain,
% 26.30/17.71 (((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB58) | v164(constB58) | (~v160(constB58)))) <=> ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB58) | v164(constB58) | (~v160(constB58)))),
% 26.30/17.71 inference(rewrite,[status(thm)],[])).
% 26.30/17.71 tff(35679,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | (v163(constB58) | v164(constB58) | (~v160(constB58)))),
% 26.30/17.71 inference(quant_inst,[status(thm)],[])).
% 26.30/17.71 tff(35680,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : (v163(VarCurr) | v164(VarCurr) | (~v160(VarCurr)))) | v163(constB58) | v164(constB58) | (~v160(constB58))),
% 26.30/17.71 inference(modus_ponens,[status(thm)],[35679, 35678])).
% 26.30/17.71 tff(35681,plain,
% 26.30/17.71 (v163(constB58) | (~v160(constB58))),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35680, 24688, 35677])).
% 26.30/17.71 tff(35682,plain,
% 26.30/17.71 (~v160(constB58)),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35681, 35673])).
% 26.30/17.71 tff(35683,plain,
% 26.30/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59)))),
% 26.30/17.71 inference(rewrite,[status(thm)],[])).
% 26.30/17.71 tff(35684,plain,
% 26.30/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59)))),
% 26.30/17.71 inference(quant_inst,[status(thm)],[])).
% 26.30/17.71 tff(35685,plain,
% 26.30/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB58, constB59)) | v160(constB58) | (~v162(constB59))),
% 26.30/17.71 inference(modus_ponens,[status(thm)],[35684, 35683])).
% 26.30/17.71 tff(35686,plain,
% 26.30/17.71 (v160(constB58) | (~v162(constB59))),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35685, 24703, 7107])).
% 26.30/17.71 tff(35687,plain,
% 26.30/17.71 (~v162(constB59)),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35686, 35682])).
% 26.30/17.71 tff(35688,plain,
% 26.30/17.71 ($false),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35687, 35528])).
% 26.30/17.71 tff(35689,plain,(~(constB59 = sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 26.30/17.71 tff(35690,assumption,(constB55 = sK0_VarCurr), introduced(assumption)).
% 26.30/17.71 tff(35691,plain,
% 26.30/17.71 (v162(constB55) <=> v162(sK0_VarCurr)),
% 26.30/17.71 inference(monotonicity,[status(thm)],[35690])).
% 26.30/17.71 tff(35692,plain,
% 26.30/17.71 (v162(sK0_VarCurr) <=> v162(constB55)),
% 26.30/17.71 inference(symmetry,[status(thm)],[35691])).
% 26.30/17.71 tff(35693,plain,
% 26.30/17.71 (v162(constB55)),
% 26.30/17.71 inference(modus_ponens,[status(thm)],[24130, 35692])).
% 26.30/17.71 tff(35694,plain,
% 26.30/17.71 (((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB49) | (~v144(constB49)))) <=> ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB49) | (~v144(constB49)))),
% 26.30/17.71 inference(rewrite,[status(thm)],[])).
% 26.30/17.71 tff(35695,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB49) | (~v144(constB49)))),
% 26.30/17.71 inference(quant_inst,[status(thm)],[])).
% 26.30/17.71 tff(35696,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB49) | (~v144(constB49))),
% 26.30/17.71 inference(modus_ponens,[status(thm)],[35695, 35694])).
% 26.30/17.71 tff(35697,plain,
% 26.30/17.71 (~v144(constB49)),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35696, 2971, 6236])).
% 26.30/17.71 tff(35698,plain,
% 26.30/17.71 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB49) | (~v142(constB49)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB49) | (~v142(constB49)))),
% 26.30/17.71 inference(rewrite,[status(thm)],[])).
% 26.30/17.71 tff(35699,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB49) | (~v142(constB49)))),
% 26.30/17.71 inference(quant_inst,[status(thm)],[])).
% 26.30/17.71 tff(35700,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB49) | (~v142(constB49))),
% 26.30/17.71 inference(modus_ponens,[status(thm)],[35699, 35698])).
% 26.30/17.71 tff(35701,plain,
% 26.30/17.71 (~v142(constB49)),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35700, 2985, 35697])).
% 26.30/17.71 tff(35702,plain,
% 26.30/17.71 (((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB49)) | (~v140(constB49)))) <=> ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB49)) | (~v140(constB49)))),
% 26.30/17.71 inference(rewrite,[status(thm)],[])).
% 26.30/17.71 tff(35703,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | ((~v138(constB49)) | (~v140(constB49)))),
% 26.30/17.71 inference(quant_inst,[status(thm)],[])).
% 26.30/17.71 tff(35704,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : ((~v138(VarCurr)) | (~v140(VarCurr)))) | (~v138(constB49)) | (~v140(constB49))),
% 26.30/17.71 inference(modus_ponens,[status(thm)],[35703, 35702])).
% 26.30/17.71 tff(35705,plain,
% 26.30/17.71 (~v138(constB49)),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35704, 24221, 26679])).
% 26.30/17.71 tff(35706,plain,
% 26.30/17.71 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB49) | v142(constB49) | (~v135(constB49)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB49) | v142(constB49) | (~v135(constB49)))),
% 26.30/17.71 inference(rewrite,[status(thm)],[])).
% 26.30/17.71 tff(35707,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB49) | v142(constB49) | (~v135(constB49)))),
% 26.30/17.71 inference(quant_inst,[status(thm)],[])).
% 26.30/17.71 tff(35708,plain,
% 26.30/17.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB49) | v142(constB49) | (~v135(constB49))),
% 26.30/17.71 inference(modus_ponens,[status(thm)],[35707, 35706])).
% 26.30/17.71 tff(35709,plain,
% 26.30/17.71 (v142(constB49) | (~v135(constB49))),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35708, 24247, 35705])).
% 26.30/17.71 tff(35710,plain,
% 26.30/17.71 (~v135(constB49)),
% 26.30/17.71 inference(unit_resolution,[status(thm)],[35709, 35701])).
% 26.30/17.71 tff(35711,plain,
% 26.30/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35712,plain,
% 26.39/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35713,plain,
% 26.39/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB49, constB50)) | v135(constB49) | (~v137(constB50))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35712, 35711])).
% 26.39/17.71 tff(35714,plain,
% 26.39/17.71 (v135(constB49) | (~v137(constB50))),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35713, 24262, 6178])).
% 26.39/17.71 tff(35715,plain,
% 26.39/17.71 (~v137(constB50)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35714, 35710])).
% 26.39/17.71 tff(35716,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB50) | (~v138(constB50)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB50) | (~v138(constB50)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35717,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB50) | (~v138(constB50)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35718,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB50) | (~v138(constB50))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35717, 35716])).
% 26.39/17.71 tff(35719,plain,
% 26.39/17.71 (~v138(constB50)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35718, 24277, 35715])).
% 26.39/17.71 tff(35720,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB50) | (~v144(constB50)))) <=> ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB50) | (~v144(constB50)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35721,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB50) | (~v144(constB50)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35722,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB50) | (~v144(constB50))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35721, 35720])).
% 26.39/17.71 tff(35723,plain,
% 26.39/17.71 (~v144(constB50)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35722, 24305, 26701])).
% 26.39/17.71 tff(35724,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB50) | (~v142(constB50)))) <=> ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB50) | (~v142(constB50)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35725,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB50) | (~v142(constB50)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35726,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB50) | (~v142(constB50))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35725, 35724])).
% 26.39/17.71 tff(35727,plain,
% 26.39/17.71 (~v142(constB50)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35726, 2985, 35723])).
% 26.39/17.71 tff(35728,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB50) | v142(constB50) | (~v135(constB50)))) <=> ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB50) | v142(constB50) | (~v135(constB50)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35729,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB50) | v142(constB50) | (~v135(constB50)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35730,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB50) | v142(constB50) | (~v135(constB50))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35729, 35728])).
% 26.39/17.71 tff(35731,plain,
% 26.39/17.71 (v138(constB50) | (~v135(constB50))),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35730, 24247, 35727])).
% 26.39/17.71 tff(35732,plain,
% 26.39/17.71 (~v135(constB50)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35731, 35719])).
% 26.39/17.71 tff(35733,plain,
% 26.39/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35734,plain,
% 26.39/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35735,plain,
% 26.39/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB50, constB51)) | v135(constB50) | (~v137(constB51))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35734, 35733])).
% 26.39/17.71 tff(35736,plain,
% 26.39/17.71 (v135(constB50) | (~v137(constB51))),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35735, 24262, 6267])).
% 26.39/17.71 tff(35737,plain,
% 26.39/17.71 (~v137(constB51)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35736, 35732])).
% 26.39/17.71 tff(35738,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB51) | (~v153(constB51)))) <=> ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB51) | (~v153(constB51)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35739,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | (v137(constB51) | (~v153(constB51)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35740,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v137(VarCurr) | (~v153(VarCurr)))) | v137(constB51) | (~v153(constB51))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35739, 35738])).
% 26.39/17.71 tff(35741,plain,
% 26.39/17.71 (~v153(constB51)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35740, 24437, 35737])).
% 26.39/17.71 tff(35742,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB51)) | (~v155(constB51)))) <=> ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB51)) | (~v155(constB51)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35743,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | ((~v140(constB51)) | (~v155(constB51)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35744,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : ((~v140(VarCurr)) | (~v155(VarCurr)))) | (~v140(constB51)) | (~v155(constB51))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35743, 35742])).
% 26.39/17.71 tff(35745,plain,
% 26.39/17.71 (~v155(constB51)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35744, 24482, 26757])).
% 26.39/17.71 tff(35746,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB51) | v155(constB51) | (~v150(constB51)))) <=> ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB51) | v155(constB51) | (~v150(constB51)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35747,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB51) | v155(constB51) | (~v150(constB51)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35748,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | v153(constB51) | v155(constB51) | (~v150(constB51))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35747, 35746])).
% 26.39/17.71 tff(35749,plain,
% 26.39/17.71 (v153(constB51) | (~v150(constB51))),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35748, 24496, 35745])).
% 26.39/17.71 tff(35750,plain,
% 26.39/17.71 (~v150(constB51)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35749, 35741])).
% 26.39/17.71 tff(35751,plain,
% 26.39/17.71 (((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52)))) <=> ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35752,plain,
% 26.39/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35753,plain,
% 26.39/17.71 ((~![VarNext: state_type, VarCurr: state_type] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB51, constB52)) | v150(constB51) | (~v152(constB52))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35752, 35751])).
% 26.39/17.71 tff(35754,plain,
% 26.39/17.71 (v150(constB51) | (~v152(constB52))),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35753, 24511, 6418])).
% 26.39/17.71 tff(35755,plain,
% 26.39/17.71 (~v152(constB52)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35754, 35750])).
% 26.39/17.71 tff(35756,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB52) | (~v155(constB52)))) <=> ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB52) | (~v155(constB52)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35757,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | (v152(constB52) | (~v155(constB52)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35758,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v152(VarCurr) | (~v155(VarCurr)))) | v152(constB52) | (~v155(constB52))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35757, 35756])).
% 26.39/17.71 tff(35759,plain,
% 26.39/17.71 (~v155(constB52)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35758, 24526, 35755])).
% 26.39/17.71 tff(35760,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB52) | (~v153(constB52)))) <=> ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB52) | (~v153(constB52)))),
% 26.39/17.71 inference(rewrite,[status(thm)],[])).
% 26.39/17.71 tff(35761,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | (v154(constB52) | (~v153(constB52)))),
% 26.39/17.71 inference(quant_inst,[status(thm)],[])).
% 26.39/17.71 tff(35762,plain,
% 26.39/17.71 ((~![VarCurr: state_type] : (v154(VarCurr) | (~v153(VarCurr)))) | v154(constB52) | (~v153(constB52))),
% 26.39/17.71 inference(modus_ponens,[status(thm)],[35761, 35760])).
% 26.39/17.71 tff(35763,plain,
% 26.39/17.71 (~v153(constB52)),
% 26.39/17.71 inference(unit_resolution,[status(thm)],[35762, 24558, 26783])).
% 26.39/17.71 tff(35764,plain,
% 26.39/17.71 (((~![VarCurr: state_type] : (v153(VarCurr) | v155(VarCurr) | (~v150(VarCurr)))) | (v153(constB52) | v155(constB52) | (~v150(constB52)))) <